diff --git "a/data/dm_maths/full_data_2/1902_11255.jsonl" "b/data/dm_maths/full_data_2/1902_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1902_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the next term in -280, -1118, -2524, -4504, -7064, -10210, -13948?\nAnswer: -18284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+12.26454\nAnswer: 12.36454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 51*c**2 - 104*c - 88. Let y be d(-49). Suppose -3*o - o = -16. Suppose 0*p + 3*p - 4*z = y, 0 = -z + o. List the prime factors of p.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2, 414, -8972?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 + -68. Suppose -u + 14980 = i*u - 4*x, -3*u = -x - 8995. What is u rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27954 != -245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 10. Let n be r(7). Let x(w) = -w**2 + 3*w**2 - 3*w**2 + 4*w. Let i be x(n). Solve 5*l - 35 = -2*k - k, i = k + 2*l - 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 14*c**2 + 4. Let b be f(-14). Let n(p) = 0 + b - 4 - 4*p. Let i be (-6)\/39 - (-15)\/13. Give n(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1665 times -0.148\nAnswer: -246.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f + 4*f - 3190. Calculate the remainder when f is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28588 greater than -28582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.27 - -0.37. Let f = -23 + 38. Let d = -14 + f. Which is smaller: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4185.31 * 2.87.\nAnswer: 12011.8397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/1 + -13 + -7. Let g(m) = 8*m - 4. Calculate g(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 245 and 353535.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 2*n + 9. Let t be o(3). Suppose 3*b + t = 7*b. Suppose 5*r + 2*a - 7*a = 1525, 0 = -3*r - b*a + 927. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7561 by -365.\nAnswer: 7561\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c - 48. Suppose -2*u + 9 = 23. Let h = u - c. What is the closest to -2\/5 in 1, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -94, -183, -272, -361?\n\"Answer: -89*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 168 - 41. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**5\/3 - 5*a**4 + 15*a**3 - 25*a**2\/3 = 0 for a.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -0.4. Let t be 23\/414 - 10\/(-36). Which is the biggest value? (a) f (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4688918.5581 and 488?\nAnswer: 4689406.5581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5*q, 0*q - 5*q - 32 = 3*h. Let x(j) = -j**2 + 5*j + 4. Let l be x(6). Let a be l\/h + (-6)\/(-4). Put a, 2\/19, 4\/7 in descending order.\nAnswer: a, 4\/7, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4448 divided by -4?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/27, -0.7, -2\/15?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2482 is divided by 376?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - o - 34 = -30, -3 = -3*q + 3*o. Solve 0*n = -4*n + 4*l, -5*n + q*l - 2 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -365 in 5, 2, 0.09, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86 (base 11) to base 8.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, -4\/35, 4\/3, -6\/13?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/17))**(-13\/5) assuming n is positive.\nAnswer: n**(26\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-520)\/(-13))\/(-4)*3\/(-45)*22*-3\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llblbl?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**5 + 155*m**4 + 290*m**3 - 3740*m**2 - 13080*m - 11520 = 0?\nAnswer: -3, -2, 6, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (0 + 3 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**5 + 7*h**4 - 60*h**3 - 100*h**2 - 8*h + 72. Let w(c) = -c**5 - 8*c**4 + 60*c**3 + 99*c**2 + 9*c - 81. Let q(g) = 9*p(g) + 8*w(g). Factor q(v).\nAnswer: v**2*(v - 9)*(v + 2)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 5:43 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 10.1. Let n = o + -1.73. Let h = n - 6.37. Which is smaller: h or 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*k - 76, 67 + 33 = 3*k + 4*c. What is the greatest common factor of 252 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3*f + 3 - 6)*(-1 + 2 + 0).\nAnswer: 3*f + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 h when two letters picked without replacement from {a: 4, h: 5, u: 5}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9650641.99 rounded to the nearest ten thousand?\nAnswer: -9650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-1\/4)*c)\/c)\/(((c\/((c*c**(3\/10))\/c))\/c)\/c))\/((c**(-4\/5)\/c)\/(c*c**(2\/19))) assuming c is positive.\nAnswer: c**(2073\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 6) in base 16?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -127*o**3 + o**2 + 2*o + 1. Let y(m) = m**2 + 8*m - 10. Suppose -3*u = -7*u + 16, 2*u - 53 = 5*b. Let p be y(b). Is j(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3688 (base 9) in base 3?\nAnswer: 10202222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 22*y**2 + 45*y + 109. What is j(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 495240 divided by 10\nAnswer: 49524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 - 23*w**2 - 63*w - 351. What is o(-10)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19 (b) 0 (c) 2\/13 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 6.4.\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17531411 (base 9) to base 15.\nAnswer: -b930b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 - 6. Suppose 17*m - 18*m = -13. Let o(u) = -5*u**2 - 13. What is m*r(j) - 6*o(j)?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 10*c**2 + 11*c + 24. What is d(-4)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677*a - 14402 - 4332 = 7669 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23 - -22)\/((-2)\/4))\/((8 - 77) + 14).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: What is the closest to 7 in 3, 1\/6, 0.05, -0.62, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3 + 4 = y, 0 = -4*y - 5*w - 22. Let h = -3 - y. Find the third derivative of -l**4 + h*l**2 + 3*l**2 - 2*l**4 + l**4 wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2. Let p be (15\/9 - 2)*-3. Let k(l) = -2*l - p + 3*l - 1. Let a be 3 + (5 + -5)\/1. Calculate a*z(y) + 2*k(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 5*h - 5, 5*m = h - 2 - 15 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 + 15. Let k(d) = -2*d**2. Suppose -4*n + 24 = -0*n. Let h(v) = v**2. Let c(g) = n*k(g) + 10*h(g). Calculate b(c(p)).\nAnswer: -8*p**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 3*k**2 + 14*k + 27. Determine g(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*x - 57*x - 538*x + 104*x.\nAnswer: -391*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 4*n - 17170 = 0. List the prime factors of n.\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:09 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2793*w - 267966. Give t(96).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1468833503 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 26. What is the third smallest value in z, 1\/3, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 2:57 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2\/3)*m)**(4\/13))**(4\/3)*m**1\/(m*m**(-1))*m**3\/m*m*(m**(-2\/11)*m)\/m assuming m is positive.\nAnswer: m**(6322\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 8. What is the units digit of ((-1)\/1)\/(s\/1159)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a + 1. Let q(h) = 7*h - 39. Calculate 3*m(l) + q(l).\nAnswer: l - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -4*m + 2*w, 5*w - 2*w = -3*m + 27. Suppose 5*g = -4*y + 27 - 10, 0 = 3*g + 3*y - m. Let n = -2 - 0. What is the closest to 1 in g, 0.3, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 7. Let d be o(-4). Let w = 11 - d. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 11. Let t = i - -30.00000126. What is t rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0733907 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 less than 6383?\nAnswer: 6383.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 11*m**2 - m - 4. Determine u(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 50*g + 24 + 56*g - 108*g. Let y be q(12). Factor 0*b**3 + 0*b + y*b + b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 - 5*i - 19. Let y be u(-2). What is the third smallest value in 16, -0.5, y?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqdkzzk. Give prob of picking 2 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 176 divided by 88\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 488518*i - 977202*i + 488670*i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68)*-2 + -5 - sqrt(68) - (sqrt(68) + 0 + 3) - (5 + (sqrt(68) - (0 + sqrt(68))) + 1))**2.\nAnswer: 168*sqrt(17) + 808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*g + 1 - 7, 4*a - 8 = 2*g. Suppose -5*l + 2*l + 12 = g. Let h(v) = -v**3 + 4*v**2 + v - 2. What are the prime factors of h(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 7:06 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + y**2 + 2*y + 3. Calculate x(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*d - 15, 0 = -0*g - 5*g + 4*d + 2. Let v be 3\/g*(76 + 10). Let u = 181 + v. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -2 - sqrt(11))*-4 - (-5 + -1*sqrt(11)))**2.\nAnswer: 26*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {z: 5, u: 9, e: 1, g: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from {n: 3, q: 1, s: 1, z: 3, l: 1, k: 2}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(273)\/sqrt(175) + sqrt(195)\/(sqrt(45)\/sqrt(9)))\/((-2*sqrt(15)*-6)\/(sqrt(5) + sqrt(120)\/sqrt(6))))**2.\nAnswer: 117\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/15, -97, -0.4, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-416)\/(-28) - (-3)\/21. Suppose -4*l = -2*f + 18, 4*f - l + 0 = h. Suppose f*q = 114 + 318. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -853*l*w**2 + 3*l*w + l + 3*w**2 + 14830*w + 1 wrt l?\nAnswer: -853*w**2 + 3*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10\/69 - 326\/345. Which is the closest to 3? (a) 2\/33 (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Let q = u + -10. Let f = q - -5.91. Round f to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 - 2. Let y(c) = 300*c**3 - 20*c**2 - 1. Let p(q) = 6*n(q) + y(q). What is the third derivative of p(g) wrt g?\nAnswer: 1800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 40819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 6. Let z be g(-4). Find n such that 4*n**5 - 4*n**5 - 3*n**5 + n**3 + z*n**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005567 rounded to 7 decimal places?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1131332302 - 0?\nAnswer: 1131332302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -125*u**7\/42 + 10219*u**4\/12 - 4305*u - 1. Find the third derivative of m(c) wrt c.\nAnswer: -7500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65 - 65 - 221*h + 296*h)*(-4 + 2 - 7).\nAnswer: -675*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*b - 223 = 55*b - 63 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88441, 88472, 88525, 88600, 88697, 88816, 88957?\nAnswer: 89120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + (sqrt(99))**2 + sqrt(11).\nAnswer: sqrt(11) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10353, 41388, 93101, 165486, 258537, 372248?\n\"Answer: -b**3 + 10345*b**2 + 7*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -447 from -1.42.\nAnswer: 445.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 12 - 34 - -19\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -3, 0, 11?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1088 divided by -4\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 231\/693*198\/(-2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 5:10 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-90)\/(-12)*36\/(-5). Suppose r + 5 = -3*m - 27, 30 = -r - 4*m. Let x = r - z. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1332 - -1546?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 44 + -1419cca?\nAnswer: -1419c86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.1. Let k be ((-9)\/(-15))\/((-2)\/(-10)). Let d = -2\/131 + 288\/1703. What is the third biggest value in k, i, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*s - 440141, -4*s + 5*j + 586888 = 8*j. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 41\/3, -2, -2\/7, -1\/8, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -41.5778.\nAnswer: 41.5778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293cc (base 14) to base 4.\nAnswer: 120332120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134924067, -269848132, -404772195, -539696256, -674620315, -809544372?\nAnswer: -944468427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, a: 1, g: 6, z: 1}. What is prob of picking 1 a and 1 z?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 54 = 2*t, 2*t = -5*s + 4*t + 66. Let n = s - 9. Suppose -145 = -n*u + a, -u - a = -6*a - 39. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112366333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 3460976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**4 - 5*a**3 - 728*a + 3. Let i(s) = -s**4 + 9*s**3 + 1453*s - 5. Let h(x) = 3*i(x) + 5*r(x). Find the second derivative of h(f) wrt f.\nAnswer: 24*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -38*z + 11302. Is 4 a factor of x(53)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/71 + -122\/355. Which is smaller: y or -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -88, -79, -70, -61?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294888?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 171495*x.\nAnswer: 3*x*(x - 57165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5069 + 145 = 237*w for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86515048 is divided by 1363.\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 11:14 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568364?\nAnswer: 2, 151, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/12)\/(1\/18). What is the units digit of ((-9)\/l)\/(3\/(-162))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6141.1 to the nearest 100.\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 b when four letters picked without replacement from {p: 1, g: 2, b: 3, y: 2, d: 4, c: 2}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2576 and 19320?\nAnswer: 38640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13034 and -0.4.\nAnswer: 13033.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19676868.\nAnswer: 2, 3, 23, 71293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + 2 + 2*(1 + sqrt(1088)) + 1).\nAnswer: 2 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -287 + 354. Differentiate -13 + 7 - 30 - d + 27*y with respect to y.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/1 - 5)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-7)*(-126)\/36. What is the greatest common factor of s and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, n: 4}. Give prob of picking 4 n.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 32922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.54138 + -0.26185. Round n to two decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 37 = 6*p - 5*i, -2*i + 10 = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109274 + -53032. Suppose -11*r + 21341 = -o. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - r + 1. Let s(b) = -b**2 - 2*b - 1. Let l(v) = -h(v) - s(v). Let o(q) = q**2. Give l(o(t)).\nAnswer: 3*t**4 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 696796047+-5\nAnswer: 696796042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z**2 - 4*z - 7. Let o(n) = 17*n**2 - 10*n - 18. Let x(r) = -14*a(r) + 5*o(r). Determine x(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/3)\/(2\/2). Let v(x) be the third derivative of 5*x**4\/12 + 11*x**2. What is v(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 80*x**2 + 682*x - 4003. Give j(6).\nAnswer: 2969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -49. Let y be (1*(-5)\/(-15))\/(l\/12). Let o(i) = -i**2 - 2*i - 1. Let g be o(y). Let k(z) = -z + 1. Give k(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 9. Let z(o) = 10*o - 13 + 16*o + 31 - o**2 + 17. Let p be z(27). What is n(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/10 + 18*z**2\/5 + z\/10 - 18\/5 = 0. Calculate z.\nAnswer: -1, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 0*k + 3*k + 7*k. Let s(f) be the third derivative of -f**5\/30 + 2*f**2 - 91*f - 1. Calculate w(s(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 + 0.37. Let q = 135.9 + -135.9. Which is the nearest to q? (a) o (b) -3\/14 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-8 - (-3 + (3 - 3)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b - 65. Give h(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 4350 = 11*l + 2*q, 5*l - q - 7263 = 0. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*l + 20*l - 28. Suppose 0*x = -5*x + 115. Let r(n) = n**2 - n + 2. Let i be r(2). Solve -i*c + l = x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 1. Let p(o) = -766*o**3 + 6*o**2 + 85. Let d(z) = 6*f(z) + p(z). What is the first derivative of d(k) wrt k?\nAnswer: -2298*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791689 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 87 = 3*d, 0 = 18821*w - 18823*w + 5*d - 141 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/17))**(-38)*p**25*p**6 assuming p is positive.\nAnswer: p**(-195\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*b - 29 + 12 + 17.\nAnswer: -42*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2325198 divided by 38118\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Let n = q - 0. Suppose 2*k - 4 = -n*k. Which is greater: k or 2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**5\/60 + 12*i**2. Let v(x) = 16*x**2. Give p(v(q)).\nAnswer: -256*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/q**(-6)*q))\/(q\/(q\/q**(1\/2))))**48 assuming q is positive.\nAnswer: q**(-408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, -10, -1\/4, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-3 - (-2 + -2 - -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*a - 471 = 296 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -113388\/23 - -4930. What is the closest to -4\/5 in b, 0.1, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 71699830 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -19*r + 2. Let b(i) = 5127309*i**2. Give t(b(y)).\nAnswer: -97418871*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5015212, 20060794, 45136764, 80243122, 125379868, 180547002, 245744524?\nAnswer: 320972434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(192) - sqrt(192))\/sqrt(8))\/sqrt(12).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2406676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 845 + -1238. Let d = 395 + n. Solve 3*k + r = 0, d*k + 4*r - 10 = -0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 18. Let a(x) = x**3 + 4*x**2 + 2*x - 7. Let s be a(-4). Let r be z(s). Let m(o) = -2*o**3 - 2*o**2 + 2*o - 6. What is the tens digit of m(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -516*u - 30908*u**3 + 516*u.\nAnswer: -30908*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1557378*a**3 - 304528*a**2.\nAnswer: 9344268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -10101000?\nAnswer: 10100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -958 + 1011 = -41*a + 1570 for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -188.46 rounded to the nearest integer?\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 362618 and 28152.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*d - 10. Solve 2*a - 1 = -0*a + 3*f, d*a = -5*f - 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 2:44 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 233 - -4108?\nAnswer: 4341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5392, 4 in increasing order.\nAnswer: -5392, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 2:26 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 8 = 3*x. Let n = x - -9. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrrrhrm. What is prob of picking 1 m and 2 r?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*-75465.\nAnswer: -8301.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9462 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 b(h) = -h**3 + 10*h**2 + 2. Let o = -17 + 27. Let z be b(o). Suppose z*l = 4*l. Solve 2*f + l = -2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/(s\/s**(1\/7))*s))*s)\/s*s**(-3)*s**(-2\/13)*s**(-2\/13)*(s\/(s*s*s\/(s*s*s**(-1)*s)))**44*s*s**3\/s*s*s\/(s**0*s) assuming s is positive.\nAnswer: s**(167\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -1075 (b) 4 (c) 3 (d) 1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*d**2 + 60*d - 3*d**2 - 18*d**2 - 23*d - 37*d + 73*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*c - 79 = -3*d - 260*c + 20, d + 8*c = 88 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-108)\/(-22)) + 2\/9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*r = 930, 13*d - 11*d - 2*r = 384. Is 192 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**3 - i**2. Let x(t) = 10*t**3 - 2*t**2. Determine 5*a(l) - 2*x(l).\nAnswer: 5*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*w**4 + 13*w**3 - 493*w**4 + 150*w**3 + 39*w**3 - 57*w**2 - 339*w**2 = 0.\nAnswer: 0, 2, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llld when four letters picked without replacement from {d: 10, l: 9}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55\/3 + -511\/12. Let f = -57 - l. Let a = f + 33. Does a = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - z + 199. Suppose -v = -b - 0*v + 4, -5*b = 2*v + 15. Let y be 0\/(-3 + (-2)\/b). What is the hundreds digit of q(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111212 - -2?\nAnswer: -111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106 and 2862?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25089 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2. Let y(f) = 283*f - 2. What is h(y(m))?\nAnswer: 160178*m**2 - 2264*m + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -16*f - 15. Let s(u) = 4*u. Let r(i) = -8*i + 1. Let p(z) = -4*r(z) - 9*s(z). Let b(o) = -2*j(o) + 9*p(o). Differentiate b(h) with respect to h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -2, 3\/8, -0.106, -29, 5 in ascending order.\nAnswer: -29, -2, -0.106, 3\/8, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/40793 and -39\/76.\nAnswer: 163172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 655718.9ns?\nAnswer: 655.7189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j = -27*j - 65. Let o be (-5)\/((-5)\/(-2)) - 2. Which is the second smallest value? (a) j (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 - 85*n + 31. What is the units digit of p(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**38*t**(-2\/5)\/(t*t\/t**(10\/3)*t) assuming t is positive.\nAnswer: t**(569\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbk when three letters picked without replacement from kbskslkk.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4)*4\/(-3). Suppose 0 = -17*x + 73 - 39 + 34. Suppose -i = -2*v - h*i + 19, -i = x*v - 37. Calculate the highest common divisor of v and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218867.\nAnswer: 11, 101, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/7))**11*(s\/(s**0\/s)*s)**(-9) assuming s is positive.\nAnswer: s**(-200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*o - 0 - 22. Suppose -5*b = -d - o*d - 441, -2*b + 5*d = -165. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 224*y**2. Let w(t) = 20*t + 8. Calculate m(w(c)).\nAnswer: 89600*c**2 + 71680*c + 14336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 3 - sqrt(3))**2 + sqrt(432)*-3.\nAnswer: 30*sqrt(3) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8808 and 2865536.\nAnswer: 8596608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 61991, 67042, 72091, 77138, 82183, 87226, 92267?\n\"Answer: -i**2 + 5054*i + 56938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3521\/528 - -1\/528. Find the common denominator of b and (1\/(135\/6))\/(21\/1785).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/47, -0.5, -3476 in ascending order.\nAnswer: -3476, -0.5, -3\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96*w**3 - 7*w**2 + 18*w - 35 wrt w.\nAnswer: 576*w - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2674921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -15*r**3 + 23*r**2. Let n(v) = -31*v**3 + 46*v**2. Let f(t) = -5*j(t) + 2*n(t). What is the third derivative of f(o) wrt o?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 10 - 3)*(b**3 - 2*b**3 - 3*b**3) + b**2 - b**2 + 3*b**3 to y*b + o + r*b**3 + u*b**2 and give r.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14328018?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i - 8 = 2*z, 3*i = -z - 2. Suppose -w + 14 = -i. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119.8 * 30\nAnswer: 3594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 10*o**2 - 8*o + 2. Let b be n(9). Suppose b = x + 3. Let w be -5946*444\/x - -3. Round w to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 289099832, 289099836, 289099840, 289099844, 289099848, 289099852?\n\"Answer: 4*u + 289099828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, g: 1, i: 1, y: 1, o: 5}. Give prob of sequence ooiq.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 5 - 5)*(1204*r + 4*r**2 - 2411*r + 1205*r + 8).\nAnswer: 16*r**3 - 8*r**2 + 32*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c - 2. Suppose 2*w = -w. Suppose -3*n + 63 = 3*j, -5*j + w*j - 2*n + 108 = 0. Calculate the lowest common multiple of j and l(-2).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28988 divided by -82\nAnswer: 14494\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292549488 to the nearest integer?\nAnswer: 17104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.09, -4, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*g = 6*g + 30, 4*g + 38 = 5*a. Solve -t + a = 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1105296478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 2*s + 8. List the prime factors of i(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -3. Let r(o) = 7*o**3 - 13*o**2 - 17*o + 3. Let d = -5 - -13. Let s(i) = -11*i**3 + 20*i**2 + 26*i - 4. Let j(g) = d*r(g) + 5*s(g). Determine j(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1046454703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (111 - 130) + (-6 - 7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 2*z + 9. Let n be c(-8). Suppose 763 + n = 2*l. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**3\/k**7*((k\/k**(-2\/19))\/k)\/(k*k\/(k\/(k\/k**(3\/11)))) assuming k is positive.\nAnswer: k**(-1175\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m. Let o(s) = 25*s. Let z(k) = -12*k. Let t(f) = 3*o(f) + 5*z(f). Calculate y(t(d)).\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = -5*y, -5*w + 7*y = 5*y - 15. Suppose -7*p + 2631 = -4*p + w*t, t - 5 = 0. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g**2 - 5*g - 1. Let c(z) = z**2 - 7*z + z + 7*z. Let l = -8 + 5. What is l*c(k) - p(k)?\nAnswer: 2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106\/2035 - -15267312\/14245. Let q = 1074 - u. Let f = 578 + -6367\/11. Calculate the common denominator of q and f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -110, -288, -642, -1232, -2118, -3360, -5018?\nAnswer: -7152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 + 24 + 3*z**2 + (2 - 2 + z)*(0*z + 3*z - 2*z))*(0*z - 4*z + z)*(-20 - 89 + 30) to the form o*z + g + r*z**3 + x*z**2 and give r.\nAnswer: 948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6\/31 (b) -3 (c) 232\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 399 and 627.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25413 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 69500 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -p - 2*n - n, -4*n - 23 = -p. Suppose 3*z - p*j - 1155 = 0, 3*j = -4*z + 4*j + 1525. Round z to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*t = 17 - 28 - 133 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) 1\/600 (c) -0.06 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 4180*s + 12. Let k be j(0). Suppose -3 = 5*x - 18. Solve 2*y - 8 = 2*w + 6*y, -k = x*w + 2*y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 6. Suppose 0 = -3*x - 0*x. Let y be (-7 - 0)\/(x - -1). Let o(f) = f + 3. Let c be o(y). What is v(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1837\/6 - 306. What is the fourth smallest value in a, 0.3, 4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 + -87. Does 10 divide 1\/u - (2462\/(-12) + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*w + 3, i = -w + 3*i - 1. Let q be ((-46)\/(-8))\/((-3)\/(-12)). Find the second derivative of 26*n - q*n + 3*n**3 - 4*n**w wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, a: 4, n: 7}. Give prob of sequence ana.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, g: 6, r: 4}. Give prob of sequence rmmr.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14569 - -14567. Let q be (1\/3)\/(2\/(-4)). Which is the closest to q? (a) 2\/15 (b) -0.2 (c) -21 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1403.\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -1. Let a = 36.9999926 - t. What is a rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(135)\/(-2*sqrt(9)))\/((sqrt(54)\/sqrt(2))\/sqrt(9)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -2208 in decreasing order.\nAnswer: 4, 2, -2208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (413 + -411)\/((-3)\/(66\/4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, o: 2, e: 4}. What is prob of sequence eeg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8 = -2*d, 0*r + 4*d - 4 = -4*r. Suppose 93 = r*l - 1404. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.4068 rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 12.5 (b) -1\/11 (c) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-24 + 7 + 48) - 20.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4))**(-2\/29) assuming i is positive.\nAnswer: i**(8\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.371368 and -0.0548.\nAnswer: 2.316568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 - 0.0065.\nAnswer: -1.4065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3}. Give prob of sequence vvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -9. Let w(u) = 36*u**2 - 40*u**2 - 3*u + 0*u**f + 3 + u + u**3. Calculate w(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -23401*t**3 + 21*t**2 - 34*t + 64. Let x be q(6). What is x rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + u + 124 = 3*d, -4*u = -2*d + 46. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11228 divided by -2807?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -153, -414, -855, -1482, -2301, -3318, -4539?\n\"Answer: -w**3 - 84*w**2 - 2*w - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7685 = 10*u - 5*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 952 = 15*n. Let s = n - -271\/4. What is the nearest to -1 in -7, -2\/11, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e593f (base 16) to base 7.\nAnswer: 22622423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 79460904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 17*p + 376 = 0. List the prime factors of (-3 - 100\/(-16))*(p + 1).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/15)\/p**(-9))**47 assuming p is positive.\nAnswer: p**(6392\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 111183 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 17, -2, 25, -4 in decreasing order.\nAnswer: 25, 17, -2, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = 12*v - 8. Put -3, v, 34 in decreasing order.\nAnswer: 34, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 2*r - 46 = 0, -21*n + 22*n - 35 = 21*n - 19*n + 5*r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/2)\/((-3)\/(-3)). Let k = -1498 + 1497. Sort f, 5, k.\nAnswer: k, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4 = 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62.7519 - -62.06. Round c to two decimal places.\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 + 10*p**3 + 8*p**3 - p + 7*p**3 - 463*p**2 - 26*p**3 + 3*p.\nAnswer: p**3 - 463*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*o - 60 = 0. Suppose 3*n - 5*j + 0 = 9, j = 0. Solve -9 = -2*r - 3*m, -n*r = -0*r + 3*m - o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17889858?\nAnswer: 2, 3, 7, 41, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**4\/9 + 567974*g**3\/9 + 40317775310*g**2\/9 - 309229614650*g\/3 - 627368623000 = 0.\nAnswer: -142005, -5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 - -99. Suppose -f = 6*f + x. Let r be 29 + f + (585 - 0). Round r to the nearest 10.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5516237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 9:53 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 6*y - 10*y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1102.7178 to the nearest 10.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from {r: 1, k: 3, p: 1, a: 1, b: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(28) + (sqrt(160)\/sqrt(4))\/sqrt(4))\/((sqrt(192) + 1*sqrt(192))\/((sqrt(72)*-1)\/sqrt(12) - sqrt(6))).\nAnswer: -3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124894097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -20456467?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0184 + -0.018399163. Round m to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*q + 9. Let d be (-2)\/(q\/(-2))*3. Suppose -d*j + 45 = 2*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 + 658\/70)\/((-12)\/(-10)). Is 658 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 39\/33 - (0 + 1). Let z be 1 - ((-2)\/8 + (-4589)\/(-52)). Let b = 606\/7 + z. What is the second smallest value in 0.5, -2, g, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(77))\/(-4*sqrt(11)*-1).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 74*f - 1262. Give k(-28).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**46)\/w*w*(w*w\/w**0)\/w)**(-12\/7))**(5\/7) assuming w is positive.\nAnswer: w**(-2880\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 + (-4 - -8) - -5. Calculate the greatest common factor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**3 + 0*c**2 + 5*c**3 - 3*c**2 to w*c + l*c**2 + m + n*c**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -8*x**3 - 26*x**2 - 5*x - 6. Calculate f(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2004, -2965, -3924, -4881, -5836, -6789, -7740?\nAnswer: -8689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t = 2. Let w(y) = 7*y**3 - 3*y**3 - 11 - 5*y**3 - 16*y - 16*y**2. Let r be w(-15). Solve -r*h - 4 = 4*x, -3*h - 8 = -t*x - 0*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -27*y**3 - y**2 - y. Let w be r(-1). Let z(p) = 13*p**2 + 7*p + 7. Let m be z(-5). Calculate the greatest common factor of m and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 12*j - 4*j, -3*j = -0*c - 2*c for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 21 = -3*z, 3*a = -0*z + z - 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/23)\/x**(1\/22) assuming x is positive.\nAnswer: x**(21\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 = -0*j + 3*j - 4*l, j + 3*l = -97. Let o be ((-6)\/5)\/(8\/j - 0). Let k = o + 21. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 + (-9)\/(-2). Let y be 1 + 2 + -5 + g. Let f(a) = a**3 + a + 5. List the prime factors of f(y).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w - 13. Let u be t(10). What is the greatest common factor of u and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-10))\/(14\/(-1470)*7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1412047)\/(-24 - -17) + (-6)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8007505 (base 10) to base 15.\nAnswer: -a828da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/26)\/((-3122)\/892)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 + 2)*(-31*u**2 - 22*u + 22*u) + (3*u + 4*u - 6*u)*(-2*u - u + 5*u) - 6*u**2 + u**2 + 4*u**2 to the form z*u**2 + b + x*u and give z.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 725106 divided by -34?\nAnswer: -362553\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2298 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4436\/8173 + 2\/743. Let n = -694047\/110 - -63097\/10. Factor 0 + n*a**3 + 0*a + s*a**2.\nAnswer: 2*a**2*(a + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000504255962 rounded to 6 decimal places?\nAnswer: -0.000504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4200 by -7271.\nAnswer: 4200\/7271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/45)\/((-1)\/(-9)). Solve 5 = 5*s + t*c, 4*s = 3*s - 5*c + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 140\/63 + (-2)\/9. Which is the closest to 1? (a) -5 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114.3*-2.\nAnswer: -228.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 8*s - 75. Give p(9).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 0*c = 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 51*k - 47*k - 5*k. Let d(p) be the second derivative of p**4\/2 + 2*p. What is d(l(y))?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2410233, 2410231, 2410229?\nAnswer: 2410227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.96768 and 0.5.\nAnswer: 2.48384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) 1 (c) 355 (d) 0 (e) -778\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199579202.\nAnswer: 2, 47, 223, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - ((-76)\/304 - (-108185)\/2828).\nAnswer: -1\/202","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*s - 116 = 0, -2*s - 58 = 5*v - 290. Is 24 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.067696 to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 92 = -5*x. Suppose 4*t - 1 = -0*l + 5*l, -x = -4*t - 5*l. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1825*i + 34659. What is l(19)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 902 and 410?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 16. Let m = 4 + o. Let x = -16 + m. Which is the second smallest value? (a) -2\/11 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 + 4*x**3 - 12*x**3.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415668249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from {k: 1, v: 3, a: 1, h: 5, e: 1, x: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2671 - -18700\/7. Which is the second biggest value? (a) h (b) -2 (c) 7 (d) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5 = 2*a + 1, 3*n = -a + 3. What is x in 12*x**2 + 6*x**5 - 2*x - n + x**3 - 6*x**3 - 10*x**4 + x**3 = 0?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 551 divide 1282177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9659 - 0.0341. Let y = -3.7 + 4. What is the second smallest value in 1\/3, -0.5, y, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 2743430826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -8*t**3 + 25*t**2 + 17*t - 3. Let y(c) = 7*c**3 - 22*c**2 - 15*c + 3. Let l(x) = 6*b(x) + 7*y(x). Calculate l(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -57 - 882?\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ckkcccccc.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 9216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 1 (c) -24.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 9:13 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, -56 in ascending order.\nAnswer: -56, -13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -1\/9*i**3 + 1\/189*i**7 - 20*i**2 + 1\/90*i**6 + 1\/1512*i**8 + 0 - 7\/108*i**4 - 1\/135*i**5 + 0*i. Factor v(s).\nAnswer: 2*(s - 1)*(s + 1)**3*(s + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**3 - 19*g**2 - 13*g + 12. Let o be u(-12). Suppose -o = -21*s - 1530. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -2 (c) -20 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from {v: 2, i: 2, n: 2, u: 1, w: 2, h: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 277.7 - 280. Sort f, 2, 0.\nAnswer: f, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 c, and 1 j when three letters picked without replacement from {r: 1, c: 1, j: 2, w: 1, k: 1, m: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*v*x**2 - v*x - 162485*v + 2*x**2 - 547715*x - 12 wrt x?\nAnswer: 4*v*x - v + 4*x - 547715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * -1.6652.\nAnswer: -23.3128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -52. Let p = 98 + z. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 611 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 18. Suppose -j*y = -3*b + 17, b - 2*y + 3*y = 3. Suppose 2*m - c = b*c - 6, 4*m = -2*c + 36. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -41906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + h + 16. Let u be w(0). Suppose 4*t + 56 = -u. Let g = -5 - t. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 61474, 61472, 61470, 61468?\n\"Answer: -2*x + 61476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 2*j - 6. Let m(x) = -3*x**2 - 6*x + 17. Determine -6*m(c) - 17*u(c).\nAnswer: c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 19*z**2 + z + 8. Let d be b(19). Suppose -53*p = -84*p + 713. Solve -p*u + d*u = -16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159 divided by 17703.\nAnswer: -53\/5901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16219, 16222, 16225?\nAnswer: 16228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6381*p + 6380*p = -9, -2*p = -5*q - 21. Suppose -3*g + 0*g = 0. Factor -2\/13*z**4 + 2\/13*z**2 - 2\/13*z**5 + g + 2\/13*z**q + 0*z.\nAnswer: -2*z**2*(z - 1)*(z + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28.3 * -921072\nAnswer: -26066337.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -1.1 (c) 3 (d) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u = 9*u - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -40 * -13\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -84*f + 0 + 82*f - 1 - 1. Determine b(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 7) + (-21 - -33).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 12.83491.\nAnswer: 12.83491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -269212*o**2 - 3 + 21*o + 1 + 269215*o**2 in the form u*o**2 + s + g*o and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*l - 50 = 0, -452*a + l - 86 = -454*a. Suppose -2 = -3*u + 4. What is the units digit of (u*(-15)\/a)\/(1\/(-244))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 76*z = -309 - 179 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-4 - 3 + 4)*(19*o - 10*o + 29*o)*(0*o**2 + 0*o**2 + 4*o**4).\nAnswer: -456*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 4, 2 in ascending order.\nAnswer: -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + -3 - -18)*2. Suppose k = -k + q. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**3 + p + 1. Let q be c(-1). Suppose -13 = -q*o + 3. Suppose o*l - 10 = -l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 3\/7, 39, -3\/10 in descending order.\nAnswer: 39, 3\/7, -0.02, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11*n**2. Let i(j) = 2*j**2 - 6*j - 6. Let k(y) = 4*y**2 - 11*y - 11. Let g(x) = -11*i(x) + 6*k(x). Determine g(o(c)).\nAnswer: 242*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -7*b**4\/20 - 9*b**3\/10 - 3*b**2\/5 + 11*b. Let m(n) = 0. What is n?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -t - 0*t + 4, 0 = -5*t - 3*z + 13. What is the derivative of -6 + 18*s**2 - 26*s**t + 2 + 19*s**2 wrt s?\nAnswer: 22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4\/b)\/b**(-6\/11)*(b\/(b**(-7)*b))\/((b\/b**(-5))\/b) assuming b is positive.\nAnswer: b**(61\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400)*3*-2)\/(sqrt(22)\/((sqrt(308)\/sqrt(7))\/sqrt(4))).\nAnswer: -60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/((sqrt(4) + (sqrt(4) - sqrt(144)))*-3).\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -13*s**3 - 393*s**2 + 53*s - 60. What is the hundreds digit of f(-31)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 28*u. Let o(r) = -r**2 - 3. Let n(y) = 1. Let g(c) = -c**3 - 4*c**2 + 12. Let v be g(-3). Let q(l) = v*n(l) + o(l). What is h(q(x))?\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/8)*c**(-23)*c**(-6\/23)*c**32 assuming c is positive.\nAnswer: c**(1631\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2 = -2*v - 20, 5*v = 4*y + 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y - 12. Let k be d(-12). Let s = 28 - k. Suppose s = -q + 7. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5767895953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 343 - 587. Let i = 537 + q. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 2, 255 in ascending order.\nAnswer: 1\/6, 2, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-30)\/9)\/(-1*(-10)\/15). Let a(r) = 2*r - 2*r**2 - 5 + 3*r**2 - 2. What is the units digit of a(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(3\/(-9))*(1 - -1). Let r be ((-4)\/a)\/(30\/(-135)). Suppose 4*t - 3*s = 6, -r*t - 2*s - 4 = -t. Solve t = w + 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -114*g**2*w**3 - 6*g**2 - 7*g wrt w?\nAnswer: -342*g**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64575, 129341, 194107?\nAnswer: 258873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*o*p**4 - 15046*o*p**2 - 2*p**4 - 3*p**3 wrt p?\nAnswer: 672*o*p - 48*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from {d: 1, p: 1, w: 1, r: 1, l: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*v + v - 16, 5*x + 2*v = 2. Solve r - 3*f - x*f = -20, 2*r + 20 = 5*f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 1, x: 2}. Give prob of picking 1 h and 1 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 65*b**2 + 505*b - 17. Calculate z(-72).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 25 = -25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 3 = 3*d, 0 = -0*d - 3*d + 2*c - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1934094262?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j\/(j*j*j**(-14)*j))))\/j*j)\/(j\/(j**(-3\/16)\/j*j)) assuming j is positive.\nAnswer: j**(189\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 194, -5, 0, 1943 in decreasing order.\nAnswer: 1943, 194, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 2. Let i(s) = 4*s**2 - 7. Let k(w) = -2*i(w) + 7*m(w). Let t(j) = j**2 - 2. What is t(k(z))?\nAnswer: z**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -106*g + 4934. Let s(w) = 13*w - 618. Let n(y) = -17*s(y) - 2*z(y). Let m(k) = k**2. Give n(m(p)).\nAnswer: -9*p**2 + 638","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -34, -2.69?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*k + 7 - 22 + 6 + 9.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 49.7\nAnswer: 37.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -88342*x - 883424. Determine j(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(9\/(-14)*12\/(-18))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0913840697 minus 65?\nAnswer: -65.0913840697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -17522.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3448*w = -453*w - 30225 + 6265 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b*x**3 - 20*b*x**2 + 13095*b + x**3 - 122*x - 317025 wrt b?\nAnswer: 4*x**3 - 20*x**2 + 13095","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (1 - 18 - 15\/(-15))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2736, -2735, -2734?\nAnswer: -2733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 77*s**2 - 83*s - 523. Determine o(-76).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*n + 36. Let p = n + -7. Let l = p + 4. What is the smallest common multiple of l and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/((24\/18)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6175857 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 43003?\nAnswer: 43011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*u + 14, 3*d + u + 2*u + 12 = 0. List the prime factors of d\/(-3) + (-160)\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 21*j**2 + 20*j + 24. Let a be x(-20). Calculate the greatest common factor of 16 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289418422 a multiple of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010 (base 2) to base 10.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 591*i**2*m**2 + 612*i**2 - 70*i*m**2 - 260*i wrt m?\nAnswer: 1182*i**2*m - 140*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7565845*c - 3. Let v be g(-5). Let z = -529862917\/14 + v. Let y = z + 18137. Calculate the common denominator of -53\/12 and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-478*k - 279*k + 245*k)*(2*k - 3*k - k).\nAnswer: 1024*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148 - -1 - (2\/2 + -2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 5*j + 2. Let h be k(-2). Let g = 0.2 + -0.2. Let i = 0 - g. What is the closest to i in -1\/6, -0.2, h?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5*r - 107 = -140, -2*w - 16 = -4*r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161410 + 38*i**2 - 161410.\nAnswer: 38*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-3 + (8 - 2))) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1851\/45 + (-4)\/30. Suppose -141 = 13*i - 16*i. Let r = i - b. Calculate the smallest common multiple of r and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0) + 2004559630331\/(-7436). Let m = i + 269574986. Let z = -27\/676 - m. What is the common denominator of -39\/22 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**5 - 10*t**4 + 37*t**3 - 64*t**2 + 52*t - 16 = 0?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 239467049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 921*p + 1444133. What is z(-1568)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84041506 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 4. Let q be 201*s*(-2)\/6. Is 14 a factor of q\/(-12) - (-3)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135 + 20001?\nAnswer: 15422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8819 + 216. Suppose 0*u = 5*u - l. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - r. Let s(i) = 5*i**2 + 2*i. Suppose 2*n - 4 = 2*h - 0*h, -5*n - 14 = h. Let p be n - (6 + -6 + 2\/2). Calculate p*d(z) - s(z).\nAnswer: -2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -6. What is the smallest common multiple of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -240*n - 269 + 29. Which is greater: n or 2\/26615?\nAnswer: 2\/26615","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 5*d + 304, 5*m - 1428 = d - 3*d. Suppose 0 = -o - a + m, 0 = -o + 2*o - a - 290. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(-2369) - 1193815\/16583\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 13. Let p be l(11). Suppose 5*b = -2*m + 2*b + 30, 4*b + 26 = m. What is the remainder when (1572\/(-9))\/p - 1\/3 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/373 + -23116\/1865. Is p at most as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/126 and (8268\/(-2184))\/((-132)\/(-14)).\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3480 is divided by 182.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from oyvpgyv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**3 + r**2 + 2*r. Let c(w) = -w**2 - 23*w + 114. Let a be c(-27). Let u(z) = 3*z**3 + z**2 + 2*z. Determine a*k(l) - 5*u(l).\nAnswer: -3*l**3 + l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 7*b. Let t be j(4). Suppose t*p = 2*z - z - 62, -3*z - 2*p = -130. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 7070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 39457 + -124?\nAnswer: 39333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -9. Suppose 4 - 19 = -3*d. Suppose g = -d*x + 4*x. Solve -2*q + 2*k + 18 = x, 13 = 4*q - k - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*z - 18, -4*y - z + 4*z + 2 = 0. Suppose 0 = -y*u + 6 + 4. Suppose -91 = -u*i + 269. Is i a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13103123 + -12?\nAnswer: -13103201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 9520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by 61.\nAnswer: -62\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*j - 1472 - 1036 - 1305 = 4651 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 349881?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 122002201011220 (base 3) to base 10\nAnswer: 9087846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/5*2\/7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 313.8 times -201\nAnswer: -63073.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 840413619.\nAnswer: 3, 93379291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10220000 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 + 1)*(-19*(-16)\/24 + 3 + -16)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 3:07 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 divided by 1?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/13 + (-1275168)\/(-15392)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 7:32 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 5099048*f + 6500072626576.\nAnswer: (f + 2549524)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4 + 33*v - 4 + 0 + 3. Let c be q(1). Suppose 0*x = x - b - 11, c = 4*x + 4*b. Calculate the remainder when 26 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + i - i)*(-1 - 2 - 2)*(i + 0*i + 3*i).\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*138\/92.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b = 3*o + 36*b + 3, -2*b = -o - 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*o + 1 - o**3 + 2927*o**4 - 5869*o**4 + 2938*o**4 + 2*o**2 as b + q*o**2 + k*o**3 + z*o**4 + d*o and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.50915\nAnswer: 1.52745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(5\/13)*z*z*z\/z**(-3\/4)*z**(-1)*((z**5\/z*z)\/(z**(-5)*z))**(1\/34) assuming z is positive.\nAnswer: z**(2325\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 8 = 0, 5*c + 3 + 5 = 2*a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 14*a**2. Let x(d) be the second derivative of d**3\/6 - 12*d. Calculate x(r(q)).\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/30)\/(1\/(15\/3)). Find the second derivative of 23 + l - 960*o**4 + 898*o**4 + o wrt o.\nAnswer: -744*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 33 = 47. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1997 divide 953094639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1717*l + 18886. What is o(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4 - 15 + 666*t - 673*t. Let a(x) = 2*x + 13 + 8*x + 15 + x. Let l(d) = 5*a(d) + 8*n(d). What is l(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 68. Let v be g(0). Let n be -1 + (264\/v - 3). What is the nearest to 1\/3 in 0.3, n, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-5)\/(-20)*6\/(-24))\/(6\/39)?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.27 in -16, 0.1, 2, 2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, y: 2, g: 3, x: 3, h: 3, l: 1}. Give prob of picking 1 h and 1 x.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.9701804 + -1.971. Round i to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92061040*h**5 - 24043307*h - 1 wrt h?\nAnswer: -1841220800*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 342959888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00683 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjoojjojjj. What is prob of picking 2 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100000101011 + 111101111101?\nAnswer: 101011110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20350, 20351, 20352, 20353, 20354, 20355?\n\"Answer: f + 20349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 763 and 1856.\nAnswer: 1416128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.756474 take away 10?\nAnswer: -11.756474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19934 = -23*w - 19980 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1879 divided by -43?\nAnswer: 1879\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 146*p + p**3 - 5 - 294*p + 228*p - 6*p**2 to y*p**3 + g + z*p**2 + x*p and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1715 = -5*g, -3*a - 3438 = -7*a - 2*g. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 17*u**4\/12 + 2*u**3\/3 + 4*u**2 - 140*u - 2. Let c(f) = -4*f**2 - f - 2. Give 9*c(l) + 2*z(l).\nAnswer: -2*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + 47. What is the greatest common factor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 1:00 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - f**2 + f - 7. Let h be z(0). Let n be (-3)\/12 - 147\/(-12). Let m = n + h. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 26. Let y be l(-26). Let c be (-40)\/(3*((-2)\/12 - y)). Suppose -264 = -8*i + c. What is the remainder when i is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*k + 618. Let u = -120 + k. What are the prime factors of u?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3729)\/(-452)*(-3)\/18*-2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y. Let k(u) = 1901737*u - u**2 - 9 - 1901737*u. Calculate n(k(w)).\nAnswer: 3*w**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-18))\/((-12)\/(-120)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1411 equal to -1410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -20. Let h = i + 6. Solve 5*t + 2*k + k = -20, -12 = h*t - 2*k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7042)\/36 + 2\/(-12). Let f = -437 - -241. Let l = w - f. What is the nearest to 0 in -3, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3*o - 42 = 12, 0 = -681*z + 686*z - 2*o + 71 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*w + 5*r - 5 = -175*w, -3*r + 21 = 11*w + 2*r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5407 to two decimal places.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n**(1\/5)\/n)\/n))\/(((n\/(n**(-9)*n))\/n)\/n))\/((n\/(n**(2\/23)\/n*n))\/((n*n**2*n)\/n)) assuming n is positive.\nAnswer: n**(-243\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117 - -52. Calculate the remainder when w is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 450 - 446. Suppose 2*r + 2 = 6. Put h, r, 5 in decreasing order.\nAnswer: 5, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10862592 divided by 4096\nAnswer: -2652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 + 8*w. Determine u(8).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**3*u - 2539304*h**3 - 43768*h**2*u with respect to u.\nAnswer: -2*h**3 - 43768*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - i = 0, -2*i = -15703*z + 15700*z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 762*t - 32. Is y(1) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26371404 times -0.2?\nAnswer: 5274280.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 0*q**2 - q**3 - 11*q + 3*q + 10*q**2 - 5. Let m be y(9). Differentiate -1 - f**4 + 2 - f**m with respect to f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -133)*4\/(-12) - (-145)\/87?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7217775 and 2547450?\nAnswer: 43306650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 32, 4, 5 in descending order.\nAnswer: 32, 11, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 12:19 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/8 and 89\/698?\nAnswer: 2792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4920, -5079, -5240, -5403?\n\"Answer: -o**2 - 156*o - 4763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 24 (c) 1\/4 (d) -7 (e) 74\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2))**(-2\/27))**(1\/6)\/((b**8*b*b**(-7))\/(b**(-2\/5)*b**(-1\/8)*b)) assuming b is positive.\nAnswer: b**(-4921\/3240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -8 + 15 + -3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2040*c - 1942*c - 29*c to u*c + l and give u.\nAnswer: -4011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and 170\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -0.01\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21 + (-68)\/(-102)*-39. Let u(q) be the second derivative of -q**5\/20 - 5*q**4\/12 - q**3\/3 + q**2\/2 - q. Determine u(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -13\/21 (b) -2 (c) 2 (d) -1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 f when three letters picked without replacement from {f: 2, g: 10}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 4*m - 11. Suppose -3*a + 240 = a. Calculate the remainder when a is divided by l(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/98 and 151\/12412092?\nAnswer: 12412092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -286441992.\nAnswer: -286441992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18012 = 13*f - 23*f - 28*f. Calculate the remainder when f is divided by 108.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1665, -3079, -4491, -5901, -7309, -8715, -10119?\n\"Answer: c**2 - 1417*c - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 38 (c) 3 (d) -0.4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 2\/9*p**3 - 13 - 10\/3*p - 19\/6*p**2. Suppose d(i) = 0. Calculate i.\nAnswer: -1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189591, -189540, -189489, -189438, -189387?\nAnswer: -189336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (-1308)\/(-54) + 4 - 10\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01589154912 rounded to 5 dps?\nAnswer: 0.01589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/18)\/(11352\/27864)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 833357000 rounded to the nearest 1000000?\nAnswer: 833000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5158226 >= 5158224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*52.9.\nAnswer: -264.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 389191920 by 5.\nAnswer: 77838384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1749 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 133130 (base 6) in base 9?\nAnswer: 17860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 156*p - 197. Give u(2).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -151*y**2 - 27*y + 2. What is c(-1)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2.8. Let u = -27.092 - -0.092. Let t = u - -32. Which is the nearest to -2\/7? (a) t (b) 2\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 17*h**2 + 171*h - 3382. What is x(18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1865420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 704.892 days to hours.\nAnswer: 16917.408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/12)\/(-5) - (-28)\/24?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5 = -15. Let y(j) = 0*j + 0*j - 4*j - 7 + l. Determine y(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15292 = 7*v - 6947. Does 37 divide (v\/(-15))\/(8\/10 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2 - 12*d + 144. Let y be i(5). Which is the nearest to y? (a) 2\/7 (b) -4\/7 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 181 - 85 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-21)\/(-6)) - 24\/(-14). What is the third derivative of 17*n**2 - 24*n**3 + 45*n**j - 25*n**2 wrt n?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -0.1, -130, 1 in increasing order.\nAnswer: -130, -0.1, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16944903?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2499 != -0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12576 and 2427168.\nAnswer: 2427168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000448724 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 - 82 - 2*x**2 + 4*x**2 - 17*x**2 + 21*x**2.\nAnswer: 6*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78 (base 11) to base 10.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88656 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -1. Let s be -14*(-1)\/(14\/4). Let l be s + -2 + (-15)\/6. Which is bigger: l or z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 + 6.1. Let u = 7 + -2. Let z = 5 - u. What is the nearest to z in -2, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 0 + 1\/12*g**4 + 24*g**2 + 224\/3*g + 5\/2*g**3 = 0.\nAnswer: -14, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71805 is divided by 446?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818845394.\nAnswer: 2, 19, 21548563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 14*w**3 - 139*w**3 - 3*w.\nAnswer: -125*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -279422*z**2 - 491*z + 466?\nAnswer: -558844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 10101220021012020?\nAnswer: 10101220021012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/5)*s*(s*(s**(-2\/9)*s)\/s*s)\/s*s)\/(s**7\/(s\/(s\/((s**(-2)*s*s*s)\/s)))) assuming s is positive.\nAnswer: s**(-199\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9410, -9623, -9848, -10085, -10334, -10595?\n\"Answer: -6*b**2 - 195*b - 9209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dee when three letters picked without replacement from {d: 4, e: 4, o: 6}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - (-11894)\/8 - 19\/(-76)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g + 2*g)*(5 - 5 + g) - 5 + 5*g**2 + 5 + 2 - 2 + 4*g**2 + 2*g + 0*g**2 + g**2 + 0*g**2.\nAnswer: 12*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29932*i**3 - 22991*i**3 + 52921*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -105, -101, -31, 141, 451, 935?\nAnswer: 1629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-3 - (5 - (1 - 1))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*v**2 - 268*v**2 + 20 - 20.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 261118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5680544*3.8\nAnswer: 21586067.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a**2 - 5*a - 4. Let j be ((-125)\/(-500))\/((-1)\/4). Calculate z(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h - 8. Let r(x) = -x + 1. What is -2*r(n) - w(n)?\nAnswer: -n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/64)\/(6\/(-20))*12*3. Let a be 3\/1*(-40)\/2. Let p = a + r. Solve -4 = 4*z - p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i + 29. Let x be v(-8). Solve r - 4*f + 18 = -1, -2*r + x*f - 23 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5760466 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 106622 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -1090350 and -1090336 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3706458721 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - (4 + -9)) + 7 + (-68 - -61)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.066 and -0.3.\nAnswer: -0.3198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -410*y + 121. What is the thousands digit of t(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 290*s + 15964. Let r be h(-55). Let n(w) = 9*w**2 + 5*w. Let u be n(-6). Calculate the greatest common divisor of u and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 148 + 41e1?\nAnswer: 4329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9 + 16*m - m + 174*m**2 - 3*m - 4*m. Let u be z(3). Find the third derivative of -41*y**2 + 1581 - 8*y**4 - u wrt y.\nAnswer: -192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -2*y + 3*a + 81, -5*y + a = -43. Solve 10*h + y = 8*h, -2*i - 4*h = 26 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46682 - 692 = 21*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 39*i**2 + 77*i - 1102. Determine c(37).\nAnswer: -991","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**3 - 3794*i**2 - 24170*i + 2538602 = 0.\nAnswer: -29, 23, 1903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57424 is divided by 54?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*c + 155, 4*c - 74 = -2*r + 12. Suppose -9*g + r = 6. Let l = 8 - 1. Calculate the least common multiple of g and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -505 - -508. Let q(l) be the first derivative of 0*l**4 + 3*l + 0*l**u - 8 + 1\/5*l**5 + 0*l**2. Differentiate q(n) wrt n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 1, -1174, 2\/5, -0.063 in increasing order.\nAnswer: -1174, -0.063, 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(-3)*(s*s**(-1\/7))\/s**(2\/21) assuming s is positive.\nAnswer: s**(79\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(644\/644)*30\/16\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*s + 6*d, 0 = -3*s + 14*d - 17*d + 24. Which is the closest to -5? (a) -0.2 (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*738.\nAnswer: 51.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/14 - ((-19)\/7 - -3). Suppose g = h - 2*h + 168. Suppose 2*w = -3*p + 7*w + 168, -3*p - 5*w = -h. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*a - 624 - 278, 0 = -3*x - a + 2716. Calculate the greatest common factor of x and 543.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwnk when four letters picked without replacement from krrbnrrkrbwrrbkkkkw.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-10)\/(-5)*(-2)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 2:15 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g - 19. Let d be t(14). Suppose -5*w + 5 = -10, -d = 3*j + 4*w. Is (j - -10) + 67*4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*d + 24, 4*d + 81 = 4*a - d. Suppose -1016 = a*y - 18*y. List the prime factors of y.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 8 = 0, 4*o - f + 8 = 9*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d*d\/d**(1\/8))))*d\/(d*d\/d**(-5)))\/((d*d**3*d)\/(d\/(d**(3\/4)*d))) assuming d is positive.\nAnswer: d**(-101\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 2*k + 199. Let g be a(-13). Let p = 1.53 - 1.6. Let x = p - -10.07. Is x greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.9303 minus 4088.4?\nAnswer: -3977.4697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220, -211, -202, -193, -184?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55909, 55922, 55951, 56002, 56081, 56194, 56347?\nAnswer: 56546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13817 from -17.\nAnswer: -13834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -10, 5 in decreasing order.\nAnswer: 5, 2, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvt when three letters picked without replacement from rtwwwvtwtvwvt.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 326 by 1.\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 33 + -19 + (0 - -13)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 8. Let q(f) = -f**3 - 7*f**2 + 9*f + 8. Let h be q(-8). Determine i(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 7*i - 91. What is the remainder when 51 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -544408 divided by -4003\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12\/(-32) + (-177)\/(-24) is divided by (-3)\/(6\/2) - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30606017.885 - 18.\nAnswer: 30605999.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 4*l**2 - 5*l + 11. Let p(i) = i**3 - 3*i**2 + 4*i - 12. Let n(g) = -4*j(g) - 3*p(g). Let v be n(6). Solve -4 = v*r - 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-2 - 0)\/(-18)). Suppose 12*f - 11*f + 4*j - 11 = 0, 3*j + 3 = 0. Suppose -i*s + 6*s + f = 0. Solve 25 = -0*p + s*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 4*t**2 - 5*t + 2. Calculate the least common multiple of u(5) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*b - 28*b - 1778. Let o = 322 + b. What are the prime factors of o?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-3*-1*sqrt(605)*2)**2 - sqrt(50)\/(-2*sqrt(10))*-1*-2).\nAnswer: sqrt(5) + 21783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -8*j - 0*j. Suppose 3*n + 3*l = -9, -6*n + n = l + j. Suppose -q = 2*m - 6*q + 6, m + 4*q - 10 = n. Solve o = -m*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6480848 and 16192.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -13185?\nAnswer: -13183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in months?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7783384435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t. Suppose -5*q + 19 + 8 = -3*j, 18 = 2*q - 3*j. What is l(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 3*r**3 - 2*r - 143 - 6019*r**2 + 6019*r**2.\nAnswer: -3*r**3 - 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*1 - 12\/(-36)*9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*z - 74 = -69, -19 = -5*y - z. Let v(q) = -4*q**3 + 3*q**2 - q - 6. Let m(k) = 5*k**3 - 4*k**2 + k + 7. Determine y*m(a) + 4*v(a).\nAnswer: -a**3 - a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t - 156 = -20*t. Let n = t - 43. Let j(x) = x**2 + 5*x - 1. Let z be j(n). Which is greater: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 704*s. Let d(z) = -72*z. Determine d(u(t)).\nAnswer: -50688*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -5290700 to the nearest ten thousand.\nAnswer: -5290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 4*f**2 - 3 + 1)*(5*f**3 - 3*f**3 + 2*f**3).\nAnswer: 20*f**5 - 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86754*m**5 - 175441*m?\nAnswer: 1735080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -3. Suppose 0 = 4*j - 8 - 28. Let h(q) = -q - 4. Let a be h(-8). Sort g, a, j in decreasing order.\nAnswer: j, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4710 - -16723. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 1. Let m(q) = -q. Let g(f) = -d(f) - 2*m(f). Let x(t) = -2*t**2 + 8*t - 6. Let s(u) = 5*g(u) - x(u). What is s(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 divided by 267.\nAnswer: 85\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 13*m**2 - 5*m - 7. Let b(j) = 2*j**2 - 1. Calculate -6*b(z) + h(z).\nAnswer: z**2 - 5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19073610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175 >= 1175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, p: 2}. What is prob of picking 3 y and 1 p?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3267*s**3 - 520*s wrt s.\nAnswer: -19602*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -3 - 19*90\/(-285).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 237 (base 8) to base 10\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*i = -2 + 8, 9 = -3*o + 3*i. Suppose -2*u - l - 81 = 0, o = -2*u + 4*l - 20 - 36. Which is bigger: u or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159385485 a multiple of 3207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/60*(-13)\/((-4004)\/186) and 81\/968?\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 120 and -0.0901256.\nAnswer: -10.815072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38554223181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 675 by -24118.\nAnswer: -675\/24118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from heehzzhe.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -316 in descending order.\nAnswer: -2, -5, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooapododouddupodk. Give prob of picking 1 d and 1 p.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 16, y: 4}. What is prob of picking 3 y?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16921085 is divided by 755.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 12*m**2 + 10*m + 15. Let d(b) = b**2 + 8*b - 3. What is the remainder when d(7) is divided by k(-11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2287200 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 6 = -3*k, 4*q - 4*k = 4728. What is the lowest common multiple of 472 and q?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 1. Let t(r) = -3*r + 3. Suppose c + 3 = 5. Let p(w) = c*n(w) - t(w). Let j be p(4). Solve j*s + 12 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 2967048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 1. Let q be z(7). Let w be (1 - -3)*q\/(-8). Solve 5*j = 2*p - 23, w*p - 3*j = -j + 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 - 40*r + 5. Let l be s(-20). Solve -4*x = -0*c - l*c + 33, 5*x + 5 = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 347*k**2 - 112*k**2 - 116*k**2 - 119*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 3 (c) -6 (d) -48 (e) 14\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -16*d**2 + 240*d - 24. Let p(c) = -c**2 + 10*c - 1. Let s(o) = i(o) - 24*p(o). Let k(x) = -2*x**2. What is k(s(n))?\nAnswer: -128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -15*y + 3. Let x = -69 + 71. Let n be u(x). Is n smaller than -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1208 - -1213. Solve -5*o - 5 = -0*x - b*x, -5*x = -2*o - 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 3\/4, -7, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-8) - -1) + ((-665)\/76)\/35. Which is smaller: 9\/710 or d?\nAnswer: 9\/710","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12668 and -101339\/8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1104 - -3096. Suppose 31*n + r = 6332. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 - -215 - (-2 - 0). Suppose 4*w - 3*s = 2*w + 95, -2*s = -4*w + n. What is the remainder when w is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + (-336)\/(-40) + (-7)\/5. Sort 4, 25, 5, s.\nAnswer: s, 4, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21385584 and 33.\nAnswer: 21385584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-4))\/((18\/3)\/3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = a + 12. Does 1 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47099142 divided by 7794.\nAnswer: -6043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**2*f*o + 46*c**2*f*z - 19*c**2*o - 3*c**2*z + f*o - 3*f*z + 4*o*z wrt o.\nAnswer: -2*c**2*f - 19*c**2 + f + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and 0.5.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-80)\/(-20)*6\/4*-4. Suppose -z + 6 = -7. Calculate the smallest common multiple of (10\/5 + w\/20)*10 and z.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 2. Let n be b(0). Let w be (-45)\/18*n\/10. What is the second biggest value in 1, w, 3, -4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*g. Let o(s) = s**2 + s - 4. Let i be o(-3). Find the third derivative of h**3 - 2*h**3 + g*h**3 + h**i wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -420 or -2955?\nAnswer: -420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2431 - -2440. Solve 0*k - r*k = -45 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 + 84. Suppose s + p = 57, -5*s = -g*s + 2*p - 169. What is the remainder when s is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6364 and 592.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182635 is divided by 187.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 84 - 4*j**3 + 42 + 42 + 215*j**2.\nAnswer: -4*j**3 + 215*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 199272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(80\/(-36) - -2). Sort c, 0, 1.\nAnswer: 0, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 11*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50.84 + -53.1928. What is i rounded to 2 dps?\nAnswer: -2.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b + 64. Let u be n(-9). What is the second derivative of -143*w - 80*w**5 + 41*w + 68*w + u wrt w?\nAnswer: -1600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 158, -0.866, 0.4, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -19. Put u, -5, -10, 2\/7 in descending order.\nAnswer: u, 2\/7, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 less than 182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*z = 185*z + 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1224, -9828, -33200, -78732, -153816, -265844, -422208, -630300?\nAnswer: -897512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 12:53 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 12613*g + 4. Let q(i) = -50483*i - 14. Calculate 11*d(t) + 3*q(t).\nAnswer: -12706*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -1068 (c) -173\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(6\/11)*t**(2\/5) assuming t is positive.\nAnswer: t**(52\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d + 0*d + 46 + 320*d**2 - 226*d**2 - 95*d**2 to p*d**2 + g + k*d and give g.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 575 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, k: 1, d: 1, p: 1, m: 1}. What is prob of picking 1 d and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 28\/21 + 7\/(-3). Suppose 0 = -c*d + 4*n + 234, -3*n = -3*d - 7*n + 401. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a. Suppose 4*i - i = -6. Let y be l(i). Suppose -y*b = -4*u + 10 - 34, 5*b - 2*u = 39. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 0*x**3 + 1 + 0*x**2 - 1\/54*x**4 - 2*x. Let k(u) be the first derivative of z(u). Factor k(l).\nAnswer: -2*l**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 3*h**2 + 3*h**2)*(40 + 95 - 36).\nAnswer: 99*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 7*c - 1. Let i be q(-7). What is the tens digit of 4\/(-6)*24\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/10 - -1)*90. Let d be ((-3)\/s*-2)\/(-1). Let f = 13\/7 + -25\/21. Sort -3, f, d in ascending order.\nAnswer: -3, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.6 times -0.046873?\nAnswer: 0.2624888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven halves of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p + 1451. Suppose -6*a = -3*a + u - p, -5*a = -u - 2421. Suppose 2*r + 2*r - a = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31891659.\nAnswer: 3, 101, 105253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 52*s**2 + 202*s - 771. Calculate w(48).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325159753*t**2 + 650320110*t**2 - 325160356*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.4 + -2.4. Does o = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14580 by 3.\nAnswer: -4860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.022, 3, 22, -2?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 5*y + 682 - 693 = 0, -3*v - 13 = 4*y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*sqrt(320) - sqrt(320) - (sqrt(25)\/(sqrt(5)*-1 - sqrt(5)) - sqrt(5) - sqrt(5))))**2.\nAnswer: 86*sqrt(5) + 9261\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 11*c**2 + c + 27. Let a be r(-11). What is the highest common divisor of a and 752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*s - 57*s + 23*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343404.\nAnswer: 2, 3, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 25 (b) 1\/2 (c) 7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 11*p - 31. Calculate g(-19).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16021*f**2*x**3 - 269*f**2 - 14*f*x**3 - x + 202 wrt x.\nAnswer: 96126*f**2*x - 84*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87.7 + 79. Let o = 8.7 + b. Let z be -2*(-2 + 3) + (-24)\/(-11). What is the closest to o in z, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.0228 + -19. What is n rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 435 = -3*g - 5*x, -3*g + 331 = x. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320 = -27*s - 212 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -5505122\nAnswer: -27525610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)\/r*r**(-18\/5)\/r*r*(r*(r**(-1\/4)*r)\/r)**(1\/18))**(-3) assuming r is positive.\nAnswer: r**(119\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -47, -152, -269, -404, -563, -752, -977?\n\"Answer: -o**3 - 98*o + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 5*k - 24 + 34 = 0, 3*g - 14*k = -11*k + 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (15\/(-2) - 1)*2. Suppose 43*q = 41*q - o. What is the hundreds digit of (-2)\/5 - 1034\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/90*-12)\/((-2)\/15).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 3. Let g(f) = -22*f**3 - 1. Let s be g(-1). Let b = s - 14. Solve -b*l = -4*l - 2*m - 1, -n = -5*l + 5*m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 7*s**2 + s - 3. Let q be l(7). Suppose 0*w = -4*w. Suppose w = 2*v - z + 3 + 1, -4 = -5*v - z. Solve -2*m - 2 = y + q, v = 3*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((4 - 3) + -1)\/(-2). Suppose 2*c - 5*q - 41 = 2, v = -5*c + 5*q + 85. Let i be -10 + c + (-76)\/18. What is the second smallest value in 5, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36041210.\nAnswer: 2, 5, 3604121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/54 and -169\/330.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -849 - -19. Let z = -10 - -19. Calculate the remainder when (-2)\/(-7) - q\/35 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87997, -84708, -81419, -78130?\nAnswer: -74841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.2, -14, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 570 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 13*o**2 - 55*o - 172. Let r be n(17). Solve -r*p = -10*p - 117 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112194484?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - l + 15, 3*f - 10 = -2*f - 4*l. Suppose 0 = -8*j + 3*j + 120. Suppose 3*z = 7*z + j. Which is smaller: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 2*y + 0*y**2 + 0 + 0*y**3 + 1\/12*y**4 + 1\/10*y**5. Let h = -39 + 38. What is j(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 47*r + 178. What is h(10)?\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 12 (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29.2 - 29. Sort -5, x, 2\/3 in descending order.\nAnswer: 2\/3, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 3549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - x = 34. Suppose -7 = -4*o + x. Suppose 0*q - o = -3*q. What is the smallest common multiple of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/2 - (3 - 0). Let f(m) = m + 1. Let l(a) = -3*a**2 - 5*a - 3. Let o(g) = -5*f(g) - l(g). Let j be o(-3). Is b at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(33\/(-6) + 1). Let i be (-2)\/9 - (-20)\/u. Suppose -5 = i*z - 11. Solve -1 = -4*q - z*f, 3*q = 8*q - 3*f + 19 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 + 17*y**3 - 8*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.68 - -1.37. Let t = -0.658 + l. Let i = t - 0.03133. Round i to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 16 = 9*x. Suppose -b + 11 = 2*f - 19, -x = -b. Solve 4*o = 2*c - 14, 5*o + 2*c = 2*o - f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22852066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 62*s + 232. Let m be p(-58). Let j be ((-1)\/3)\/(1\/2). Which is bigger: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*d = 76*d - 1250364. What are the prime factors of d?\nAnswer: 2, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 7) in base 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 634*a - 1263*a + 633*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 9*n**5\/5 + n**2 - 46*n - 31. Differentiate o(b) with respect to b.\nAnswer: 36*b**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -66. Suppose -5*s - i = -6*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3171860 and 931.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1400, -1208, -888, -440?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 times 0.1?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 - 384*c**3 + 1134*c**2 - 1128*c + 375.\nAnswer: 3*(c - 125)*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 10 + 9 + 2*r)*(-12*r - 61*r - 3*r).\nAnswer: 76*r**2 + 76*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -887 minus -1.5638375?\nAnswer: -885.4361625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3*2\/3)\/(-2). Let h(y) = 69 + 2*y - 30 - 12*y**3 + y**2 - y - 38. Calculate the remainder when 25 is divided by h(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 11)*(-4*k + 4*k + 3*k).\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 620.076823 to one decimal place.\nAnswer: 620.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.031? (a) -0.09 (b) 2\/9 (c) -5\/13 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 8. Let w be (-2)\/((0 - 2) + 1). Suppose 0 = w*t - 4*t + 58. What is the remainder when t is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3787.\nAnswer: -3787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*l**3 + 32515*l**2 - 20*l - l**4 - 32539*l**2 - 2*l**3.\nAnswer: -l*(l + 2)**2*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -9*j + 16. What is t(7)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*b = -2*m + 330, -3*m + 5*b + 495 = 0. Suppose -22*o - m = -27*o. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13857288*b + 40817351 wrt b.\nAnswer: -13857288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 577592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 942675 and 2085.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 21. Suppose 7*r - 72 + 27 = -17. Determine a(r).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20706, 20673, 20640, 20607, 20574, 20541?\nAnswer: 20508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 36.5372m?\nAnswer: 3653.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 55600.\nAnswer: 389200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 - 842*r - 2*r**2 - 1 - 3*r**4 + 816*r - 8*r**3 + r**4 in the form f*r**4 + w*r**2 + c + o*r + j*r**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -13*a**3\/3 + 16. Let l(u) = -9*u + 5. Let r(j) = 13*j - 7. Let s(o) = -7*l(o) - 5*r(o). What is n(s(v))?\nAnswer: -52*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**5\/5 + 4*h**4\/3 - 7*h**3\/2 + 9*h**2\/2 - 34*h. Find u, given that x(u) = 0.\nAnswer: 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {g: 5, t: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124032.\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(-60))\/(4\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 983*v + 1516*v + 0.\nAnswer: 533*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - 4*a + 2*a - 1 + 1 - 2*a - 2*a + 2*a - 2*a + 2 + 2*a - 2 + (-2*a - 2*a + 2*a)*(-2 + 3 + 1) + a + 0 + 0 + 47*a - 117 + 117.\nAnswer: 43*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmmz when four letters picked without replacement from {y: 1, m: 2, q: 3, z: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119684 - 85373. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31558.97g in kilograms?\nAnswer: 31.55897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1156275)\/(-18))\/(6\/160). Round q to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 - 78980*q + 4.\nAnswer: -78980*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 437485 (b) 2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17\/(0 - 1) + -3. Suppose 2*t - t = 87. Let h = t + k. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 8) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4354)\/311*12\/(-44)\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1620 and 285930.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11264 and 495?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, i: 1, n: 10, w: 1}. Give prob of sequence wdn.\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1082 - 20. Let h = q - 731. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32284?\nAnswer: 2, 7, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2643 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 316.\nAnswer: 12.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57172 is divided by 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (715\/220)\/((-111891)\/(-456)).\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1904 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 0 + 4)*(3*g - 2*g - 3*g) + 5*g + 4 - 4 to the form k*g + v and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -110, -44, 54, 196, 394?\n\"Answer: 2*h**3 + 4*h**2 + 40*h - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 10:26 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-6012)\/(-12))\/((2\/(-424) + 0)*-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(80) - sqrt(20))*-6)\/(1*sqrt(90)*-2).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -15241\/2?\nAnswer: -15241\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*n**4 + 299*n**3 + 45*n - 4995 wrt n?\nAnswer: -8*n**3 + 897*n**2 + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 110, 92, 72, 50, 26, 0?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 691*s**3 - 13 - 33*s**3 - 653*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (2 - -7) - ((51 - 33) + -26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 15, 18 = 3*l - 0*q - 3*q. Suppose -r = -l*v + v + 45, -r = 4*v - 81. Suppose 8*h - v = h. Solve m - h = -u, -2*m = -5*m + 3*u + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f**3 - 48*f**2 - 13*f + 7. Give w(-12).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79501 and 7334153?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14035 and 118265.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {b: 1, t: 1, s: 5, o: 2, p: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*c + 530853 - 527461 = 0 for c.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttttttttttttth. Give prob of sequence th.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, q: 5, j: 3, g: 1}. What is prob of picking 1 j, 2 q, and 1 g?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 288\/21 - (-4)\/14. Let n = v + -9. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + a + 1. Let h(b) = b**2 + 2*b + 2. Let t be (-5 - -2) + -1 + -4. Let w = t - -6. Let g(u) = w*v(u) + h(u). Let z(q) = 4*q. Calculate g(z(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvkk when four letters picked without replacement from {v: 5, k: 9}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2. Let c be ((-2)\/2)\/(204\/(-1020)). Let i(y) be the third derivative of 0*y - 2*y**2 + 11\/60*y**c + 0 + 0*y**4 + 0*y**3. Give i(n(g)).\nAnswer: 11*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 3*t**2 + t + 1. Let c(m) = 8*m**3 - 27*m**2 - 3*m + 6. Calculate -2*c(w) + 18*f(w).\nAnswer: 2*w**3 + 24*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + 40?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyyyyyyyyyyyyyyywyyy?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92868?\nAnswer: 2, 3, 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.9216005 rounded to two decimal places?\nAnswer: -36.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 3:03 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231.4, -7, 0.2, -3\/5, 0.7, -4.\nAnswer: -231.4, -7, -4, -3\/5, 0.2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1421834, -2843687, -4265540, -5687393, -7109246?\n\"Answer: -1421853*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 6*x**2 - 2*x - 3. Let m(l) = l**3 + 8*l**2 + 7*l - 6. Let g be m(-7). Let f be n(g). Solve -3*q - 20 = -5*b, -5*b = 5*q + 11 + f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*m = -16, 0*m + 3*m - 14 = -5*h. Suppose -4*y + 6*y**h - 6*y**2 - 2*y**3 + 15*y - 9*y = 0. Calculate y.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*g + 11*w - 225 = 271*g, 0 = 6*g - 4*w - 184 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 9:19 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24665, 49173, 73695, 98237, 122805, 147405?\nAnswer: 172043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.4 - 18.4. Sort d, -1, -2\/7 in ascending order.\nAnswer: d, -1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 11*i**2 - 7*i**2 - i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 138*p - 9 - 283*p + 146*p. Let y be i(9). Solve 0*v + 2*v - 5*j + 7 = y, -3*j + 25 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2275*b - 73 = -2271*b, 37 = 44*s + 5*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -69, -145, -235, -345, -481, -649, -855, -1105?\n\"Answer: -g**3 - g**2 - 66*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*l - 61*l + 132*l - 308385 = 0. What is the smallest common multiple of 890 and l?\nAnswer: 18690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m - 6*m + 154 = -8*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*p = -175*p + 113844738. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwixwikfi. Give prob of picking 1 x, 1 k, and 1 f.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 0 + 0*c**4 + 0*c**3 - 3\/10*c**5 - 3*c - 3*c**2. What is the first derivative of m(l) wrt l?\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**2. Let s(y) = -y**3 + 10*y**2 + 7*y - 22. Let w be s(10). Let b(m) = 48*m - w*m + 6*m**2. Give b(u(q)).\nAnswer: 96*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1706 - -1736. Solve 4*l - 26*c + n*c = 0, 2*c + 12 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j - 139. Calculate the remainder when 387 is divided by s(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.11 - 3.19. What is the nearest to 1 in 3, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 773 + -790. Let f = 18.3 - -1.7. Let o = f + t. Which is the closest to 0.2? (a) -2\/5 (b) o (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 40. Let c(u) = -40. Let i(d) = 3*c(d) - 2*r(d). Let a be i(-9). Is a >= -45\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1*(1 - -1). Suppose 3*a + 4*q + 20 = 0, 3*q = -3*a - m*a - 26. List the prime factors of a\/16 - (-17)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 18 = -2. Let f = v + 15. Suppose -5*t - 24 = -54. Calculate the lowest common multiple of t and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*2)\/(-34 + 35). Suppose 0 = -t*p - 10, -2*q + 3*p - 495 = -3*q. List the prime factors of q.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 685 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 5)\/(4\/(16\/4)). Solve 8 = 2*t, -5*r = -t - 16 + p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/3 + (4 - 2). Which is the second biggest value? (a) 2\/27 (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 142 = 210. Let z = 96 - a. Solve 0 = r - 3*r + z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((37\/(555\/30))\/((-2)\/3))\/((-24)\/(-76))?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 11830?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4923907553.7 and 0.04.\nAnswer: -4923907553.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1200\/2000)\/((-1)\/(570\/6))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -14*k - 36, -28*k + 32*k - g + 10 + 10 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.17 - -0.83. What is the third smallest value in t, 3\/7, 0.02?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (-8653)\/(-544) - (-285)\/3040?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307*c = 248*c + 295. Let a be (-20)\/(-8)*(-3 - -1). Sort a, -4, 0, c in decreasing order.\nAnswer: c, 0, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25393500 a multiple of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1186845 + 2?\nAnswer: 1186847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 12*f**2 + 13*f + 21. Let y = -13 + 25. Is 40 a factor of u(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1325*h**3 - 1395*h**2.\nAnswer: 7950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u + 4. Let b(v) = -2*v + 2. Let t(o) = -3*o + 3. Let w(n) = -4*b(n) + 3*t(n). Let f(z) = 5*w(z) - y(z). Calculate f(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63266 + 6*f**2 + 4*f - 63266 - 4*f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 64415 (base 7) to base 10\nAnswer: 15986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from callatsaallclcalta. What is prob of sequence sl?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14007.729 - -14030. Round g to 1 dp.\nAnswer: 22.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**4 - 3*c + 3. Let p(y) = -9*y**4 + 6*y - 7. Let a(j) = 7*d(j) + 3*p(j). Find the second derivative of a(n) wrt n.\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-1)\/d))**(15\/4))**44 assuming d is positive.\nAnswer: d**495","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*n**2 + 88631*n - 88631*n + 40*n**2 - 103*n**2.\nAnswer: -190*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1887*c - 34538. Calculate l(19).\nAnswer: 1315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -11, -4, 17, 58, 125?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**2 - 15*v - 194 wrt v?\nAnswer: 2*v - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c5 - -1a9d?\nAnswer: 1b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -904 - -908. Let m(f) be the first derivative of f**2\/2 + 8*f - 2. Let x be m(-6). Put 1, x, w in descending order.\nAnswer: w, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(3) + sqrt(6)\/sqrt(2)) + 3 - (sqrt(30)\/(sqrt(10) - (sqrt(110) + (2*sqrt(110) + sqrt(110) + sqrt(110) - sqrt(110)))\/sqrt(11)))**2.\nAnswer: -12*sqrt(3) + 8\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -11\/2 (c) -0.07 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5)*-2 + sqrt(5) + 3)**2 + -1)*-3.\nAnswer: -39 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y - 3*y)*(-3 - 2*y - y + 4*y).\nAnswer: -2*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/2607?\nAnswer: 1\/2607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 - 5*d**2 - 2*d + 3. Let g be (-450)\/162 - 4\/18. Give n(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/15*(-15)\/36.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000285562018 to six dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*n + 38. Suppose s = 3*u - 3, -5*s + n*s - 15 = -4*u. Solve 2*w - 6 + 0 = u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1136 + 57*d + 40*d - 95*d + 533.\nAnswer: 2*d + 1669","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4246 is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 407816.\nAnswer: 3670344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134 + 74. What is the common denominator of (-9)\/12*292\/66 and 161\/z + (-2)\/(-6)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42597.999893727 - 42598. What is a rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**2*k*k**(-6)*(k*k**(-4\/5))\/(k\/k**(-6)) assuming k is positive.\nAnswer: k**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-8)*(-1 - -3). Let o be (1\/u)\/((-1)\/(-3)). Let f = -0.065 + 0.365. Which is the second smallest value? (a) o (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 + -73. Let f(r) be the third derivative of -2\/3*r**3 + 0*r**5 + 1\/120*r**6 + 3*r**2 + c*r + 0*r**4 + 0. Give f(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792644472 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 744 and 18.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of r**3 + 3*r**2 + 50 wrt r.\nAnswer: 3*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + 7354?\nAnswer: 7343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-2\/5)*v)*v)\/(v\/(v\/(v*v**(6\/7))*v)*v)*(v\/(v**(-7)*v))\/(v\/(v**2*v))*(((v*v**(-3\/7))\/v)\/((v*v**(2\/3))\/v))**(-2\/7) assuming v is positive.\nAnswer: v**(6509\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 15173096.\nAnswer: 3\/7586548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**4\/4 + 4*i**3 - 15*i**2\/2 - 19*i + 9. What is the remainder when 13 is divided by k(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1996531317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) + sqrt(324)*1 + 3*(sqrt(9) - sqrt(36)))\/(-2*(sqrt(3) - (sqrt(3) + sqrt(3)*5*5))))**2.\nAnswer: 12\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-845)\/(-65) - 2*-2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7646711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -14987 and 62511 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 15*m**2 - 9*m - 3. Let f(y) = 16*y**2 - 10*y - 1. Let n(r) = -2*f(r) + 3*w(r). Let i(g) = -6*g**2 + 3*g + 3. What is -14*i(t) - 6*n(t)?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84 or -6451?\nAnswer: -6451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -4, 8, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*d**2 - 13 + 17 + 90*d**2 - 4.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -87\/10 in -1\/10, 0.017, 0.25?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1579 * -2.\nAnswer: -2.3158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -545 - -517. List the prime factors of 5723\/7 - 12\/g.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-154)\/196)\/(-11))\/(6\/(-357))*1\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**5\/60 - i**3\/6 + 3*i. Let p(o) be the second derivative of u(o). Let y(w) = 0*w - 2*w + 0*w. Determine y(p(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/10878 and 35\/501702.\nAnswer: 909585726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4611730 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*y + 16*y - 150 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4574*y + 4574*y + 762*y**2)*(-y**2 + y**2 + y**2).\nAnswer: 762*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 213165824 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(612) + -1)**2 + -4 + sqrt(17)*2 + 4.\nAnswer: -70*sqrt(17) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**14\/((a**5\/a)\/a) assuming a is positive.\nAnswer: a**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 11*k**2 - 9*k + 10. Let q be i(-8). Let d = -189 - -179. What is the common denominator of -55\/6 and (d\/20)\/(q\/146)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -299 + 301. What is the tens digit of (452*6\/12)\/(1\/s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 7*f**2 - 14*f + 8. Let k be m(8). Let a = -36 - k. Solve -4*p - a + 0 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*p + 14*p + 13*p - 60*p + 15*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -126*q - 18. Let s be p(-2). Let n = -242 + s. Let t(l) = -2*l - 12. Give t(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 0*o - 14*o**2 - o - 2 + o**3 + 17*o**2 - 1. Determine w(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 33 = -7. What is the units digit of (-1 - -178) + (-6 - 16\/l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -1110 + 174. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2256\/27072)\/((-1)\/(-372))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41061347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**4 - 4026484*z**3 - 52254624*z wrt z.\nAnswer: -12*z**2 - 24158904*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-1\/2))**(-22)*(((c\/(c**(-1)\/c))\/c)\/c)**(-2\/11))**(33\/2) assuming c is positive.\nAnswer: c**(-1821\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96 - -58. Let k = b + 16. Let a = -17 - k. Let x(w) = -4*w**2 + 5*w. Let j(l) = l**2 - l. What is a*j(o) + x(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -18*c**3 - c - 1. Determine w(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 - 59*x**2 - 37*x + 222. Let g be m(30). Solve 0 = 272*j - 274*j - g for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 9. Suppose 0 = -a + 5*x + 227, y = a + 3*a + 4*x - 860. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2008700, -4017414, -6026128, -8034842, -10043556?\nAnswer: -12052270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 9, -0.01, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, -546, -179, -5, 1 in decreasing order.\nAnswer: 1, 0, -5, -15, -179, -546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 165 + -152. Suppose -j*t + 772 = 2189. What is t rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 - 3*i + 3. Let x be h(2). Let f = x + -4. Let o = -36.4 - -36.6. Which is the nearest to 1\/2? (a) f (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/((-6)\/(-18))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -946 + 1006. What is the remainder when 537 is divided by y?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29932 and 84451.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 864 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199, 404, 601, 784, 947, 1084, 1189?\nAnswer: 1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*f**3*r**2 - 2607*f**3*r - 113*r**2 wrt r.\nAnswer: -94*f**3 - 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 + 16*l**3 - 21*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, 20, 30?\n\"Answer: 10*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ac - 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38366874 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1175 and 16\/45.\nAnswer: 10575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0 = -d + 5, -d + x + 2 = 0. Suppose 0*f = -f + 2. Suppose f*i - d*i + 10 = 0. 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: 60015 divided by 5\nAnswer: 12003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128 - -131. Let d be 276\/(-230)*m*(-4)\/(-54). Let w = -4 - -3. Which is greater: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*c - 0*u - 7, 0 = c - 5*u + 23. Let v(o) = -o**2 - o + 1. Let y be v(c). Does 12 divide (y + 3)*1 - -20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2680730 to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.1 - 2.06. Let r(l) = -55*l - 218. Let x be r(-4). Which is the smallest value? (a) h (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 5. Let d(y) = 2*y + 11. Let o(n) = -4*d(n) + 9*z(n). Suppose -t + 3*x - 32 = 0, -32*x = -35*x + 27. What is o(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144.51 - -0.49. Let c = f + -144.9999917. Round c to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3 - 37*h**4 + 25*h**4 + 15*h**4 wrt h.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**2*k*q**3 + 6*i**2*k*q**2 - 6*i**2*k + 16*i*k*q**4 + 3*i*k*q**3 + k*q**2 wrt q.\nAnswer: 12*i**2*k + 384*i*k*q + 18*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by -20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 + -111.9. Let x = -58.1 - j. What is the closest to -0.1 in x, -4\/7, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 494 divided by 13.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 10*a - 4*a)*(-4*a**2 - 2*a + 4*a - 3*a).\nAnswer: 52*a**3 + 13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254511325 (base 6) to base 8.\nAnswer: 23012305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 + 8*k - 5. Let a be z(3). Suppose 0 = -4*j + u + 116, -5*j = 4*u - 3*u - 145. What is the remainder when j is divided by 10\/a*(-17 - -5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 - -4. Calculate the remainder when k is divided by 38.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(13) - (sqrt(13) + sqrt(91)\/sqrt(175))) + -4 + 2)*-2)**2.\nAnswer: 52\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 21779246?\nAnswer: -3\/21779246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 - 0.7. Let w = -2.2 + p. Let r = 13.9 + -7.9. Which is the closest to 2\/5? (a) 0 (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -22*f**2 + 305*f - 498. Determine w(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26.89 + 27. Let g = n - -14.89. Let d = -19 + g. Which is the nearest to -1? (a) 0.2 (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4 - 2 - ((-63)\/(-42) - -14).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 10) in base 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 250 + -27. Let r = p - 139. Let y = 84.00000049 - r. What is y rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 63\/5. What is the closest to 1 in f, 5, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.4993928 weeks?\nAnswer: 302032.76544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h + 1. Let g be d(2). What is w in -18*w**4 + 24*w**g - 8*w**4 + 4*w - 16*w**3 - 30*w**2 + 44*w**2 = 0?\nAnswer: -2\/3, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*q + q**3 + 21*q + 3*q.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/538 and -69\/2.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1239413 is divided by 6197?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-50)\/2*3\/(3 - 6). Suppose -3*x + v = 3 + 1, 0 = 5*v + h. Let j be -1*2\/(8\/(-12)*x). Which is the nearest to j? (a) 1\/4 (b) -0.2 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-56))\/((6\/(-8))\/(-1))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*d + 43492 = 0, -621*a - d = -618*a - 65287. List the prime factors of a.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, r: 4, p: 4}. Give prob of sequence pr.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -1104?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*c - 159. Suppose 5*v - c = 52. Calculate the greatest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**5 + 21*h**4 - 27*h**3 - 69*h**2 + 150*h - 72 = 0?\nAnswer: -2, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -2*k + 3*p + 76, k - 3*p = 126. What is the units digit of 1\/4 - k\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 + x + 11. Let j(i) = 21*i**2 + 5*i + 56. Calculate 2*j(v) - 11*l(v).\nAnswer: -2*v**2 - v - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*s - 762 = 0, -3*k - 3*s + 474 = -6*s. What are the prime factors of k?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2103, 2810, 3517, 4224, 4931, 5638?\n\"Answer: 707*l + 1396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 17 + 5 = 0. Let m be (-18)\/(-126) + 34\/7. Solve 3*t = -5*p - 3 - o, 0 = 4*t + p - m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f + 0*f - 6*f**2 - 3*f. Suppose -1 - 1 = -n. Let o(v) = -v - 3*v**n + v**2 + v. Calculate o(c(z)).\nAnswer: -72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + d + 15. Solve d*b + 2*l - 5 = -l, 3*l - 1 = -4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(3\/1)\/(-15)*((-12580)\/6)\/(-34)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 255020 = -3*x - 255000, 0 = 5*w - 4*x - 62 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1041012 and 83106.\nAnswer: 19779228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4971.831 kilometers?\nAnswer: 4971831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -881*j**3 - 1. Let q be s(-1). Suppose -3*r + 711 = -2*x + 6*x, 2*r - q = -5*x. Suppose 3*b - x = 72. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-10 - (-34)\/30)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 8*y**2 + y + 8. Let h be n(-8). Let m(l) = 4*l - 14. Let i(q) = 5*q - 13. Let j(f) = 3*i(f) - 4*m(f). Give j(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/228)\/((-2)\/(-180808)). Suppose -79*p + 82335 = -105685. Let d = p + c. Which is greater: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4168701, 4168702, 4168703?\n\"Answer: w + 4168700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-95645)\/484*(-5)\/(25\/(-6)). Let v = -242 - m. Calculate the common denominator of v and (-4)\/6 + 51\/(-288).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/15 + 4041238*g\/15 + 269416.\nAnswer: -2*(g - 2020620)*(g + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 6:33 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 100*j + 9. Let q(g) = 5*g**3 + g**2 - 5*g + 4. Let u be q(3). Let i = u - 119. Is d(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3333*g**5 - 3*g**2 + 35*g wrt g?\nAnswer: -199980*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**4\/4 - a + 906. Let f(h) = -4*h**3 + 3. What is -4*f(c) - 18*g(c)?\nAnswer: -2*c**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1, 3, 2\/5, -0.091, 3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111 - (17 - (-6 - (18 - 38)) - -16).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -45a (base 15) in base 6?\nAnswer: -4321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r + r**3 - 8*r + 17*r.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*s**3\/3 + 41164*s**2\/3 + 10088120*s + 2881200.\nAnswer: 2*(s + 1470)**2*(7*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 812 and 308?\nAnswer: 8932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**3\/5 + 26*a**2\/5 - 12*a = 0.\nAnswer: -15, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1507 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/5 + (-1)\/(-5). Suppose 28 = 6*i - 2*i + y*m, 0 = -i + 2*m - 3. Find the third derivative of 0*h**2 + 2*h**5 - 3*h**i + h**2 wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*f + 4*o - 24, 3*f - 12 = 3*o. What is the remainder when (-2)\/3 + f\/(-60)*-956 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 - 1585\/18. Let u = -1427\/2 + 685. Find the common denominator of l and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8253*x - 222628. Determine b(27).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 92*q**2 + 86*q**2 - 251*q**2 + 84*q**2. Suppose -10 = -17*d + 16*d. Let z(s) = -3*s**2 + d*s**2 - 9*s**2. Calculate z(t(a)).\nAnswer: -242*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/228 and 85\/6804.\nAnswer: 129276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 + 229 = -17*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2166750 + 428*n - 208*n**4 - 2166750 + n**2 wrt n.\nAnswer: -2496*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 5*d + 8. Suppose 3*y + s - 8 = 2*s, -3*s = 5*y - 32. Let v be o(y). Solve 3*n = -n - v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56204578*l**6 - 432*l**2 - 3*l + 579.\nAnswer: -6744549360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, i: 5, u: 3, p: 1}. Give prob of picking 1 p, 1 u, and 1 d.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -14*y + 2. Let z(p) = -194*p. What is z(n(l))?\nAnswer: 2716*l - 388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2312624 (base 9) to base 2\nAnswer: 100110000110100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1853, 2518, 3089, 3518, 3757, 3758, 3473, 2854?\nAnswer: 1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 5*f - 2*g - 13, -3*g = -2*f - 33. What is the common denominator of (-5)\/f*114\/28 and -42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 6373508.\nAnswer: -5\/6373508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w - 46*w - 114 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19\/329 + -4\/47. Let m = 8856\/19 - 466. Which is the nearest to -1? (a) m (b) w (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 7*j**2 + 6*j + 10. Let z be c(-8). Let o = 23 - z. Let y be (1\/o)\/((-1)\/57). Is y > 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 9 - 27*l + 6 as k + t*l and give t.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/o**(8\/3)*o*((o**(5\/6)*o)\/o)\/o*(o**5)**(9\/2) assuming o is positive.\nAnswer: o**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4 + 146. Let f = -34 + q. Let r = 136 + -127. What is the remainder when f is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 1 + 3. Is (-266)\/(-6) + t\/6 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 340.0923 tonnes?\nAnswer: 340092.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178096 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 5*q + 9. Calculate r(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -5*f**2\/2 - 8*f + 4847. Give a(-10).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) -99\/4 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 13378742000 to the nearest one million.\nAnswer: 13379000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 603674 and 396.\nAnswer: 119527452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -1\/8*u**3 + 1\/24*u**4 + 0*u + 0 + 17*u**2 - 1\/240*u**5. Factor o(g).\nAnswer: -(g - 3)*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*x = 0. Suppose -4*r - 334 + 4294 = x. What is r rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*p - 120*p = 1293 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -h - 130, -3*i - 2*h = -i - 268. What is the highest common divisor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a + 82 + 84 + 89 - 255.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 4. Let o = l + -3. Suppose -o*g = -55 - 690. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 - 195*q**2 + 1339*q - 228. Calculate g(90).\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**4 - 793*w**3 - 133848*w**2 = 0.\nAnswer: -143, 0, 936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-40)*7\/((-14)\/15)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0956 and -2?\nAnswer: 0.1912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 44*h - 8. Let q(c) = 5*c - 1. What is 28*q(p) - 3*x(p)?\nAnswer: 8*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 7*b**2 - 8*b - 3. Let d be (-80)\/14 - 10\/35. Let p = -6504 + 6514. What is the least common multiple of p and u(d)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 7*z**2 - z - 8. Let l(x) = x**3 - 7*x**2 + x - 7. What is 3*l(y) - 2*m(y)?\nAnswer: -y**3 - 7*y**2 + 5*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 l when four letters picked without replacement from wjmjmamlawjwmwwwmww?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 2 + 10549\/11 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4968538l?\nAnswer: 496.8538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 25\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 609 + -594 + 3 + -2 + 58 + 17?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53775 and -4125?\nAnswer: -221821875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 252097.3 weeks?\nAnswer: 152468447040000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -1 + 4 + -2 + sqrt(847) + 5)**2*4 + 2 + -5.\nAnswer: 1056*sqrt(7) + 13693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w, -13708 = -2*v + 5*w + 110838. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nczciicggzcg. What is prob of picking 1 g and 2 z?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -57 + 29 - (-5863)\/205. Let v be ((-1)\/4)\/(6\/8). What is the second biggest value in m, v, 16?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64708 is divided by 2311?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118141.\nAnswer: 31, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 14. Calculate the smallest common multiple of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -660000 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 6:13 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 2 + -15 + 45 + -2 + 1 + -1?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40.78 + -2832.78. Let p = q - -2791.996609. What is p rounded to four decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/4 + 1397*r**2 + 11164*r + 22320 = 0. What is r?\nAnswer: -5580, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*z + 8 = 0, -2*w - 3*w - 4*z = -14. Suppose -34 = -3*a + 4*h, -w*a = -2*a + 3*h - 62. Calculate the remainder when 25 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Which is the nearest to 2? (a) 0.1 (b) 0.02 (c) 5453 (d) -14 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 + (-234)\/(-27))*(-186)\/(-2). Suppose -4*q = 4*t - 6*q - 134, -2*t + 2*q = -u. What is the smallest common multiple of t and 3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(7)) + 5)*3.\nAnswer: 3*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2. Let q(r) = 394*r. What is l(q(f))?\nAnswer: -465708*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 650*h**5*x - 3*h**5 - h**2*x - h - 17*x + 34 wrt h?\nAnswer: 13000*h**3*x - 60*h**3 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1275 = -380. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8879 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -300, 4, 2, -1, -11, 1, -3 in decreasing order.\nAnswer: 4, 2, 1, -1, -3, -11, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18611152.\nAnswer: 2, 7, 107, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-240) + 1\/(-5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37 + 23 + 20)*(-309*c - 317*c + 623*c + 23) to the form q + p*c and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -6777689763.438\nAnswer: 6777689758.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3755)\/(-6008)*6\/(-20)*4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2317769*f - 5877056*f - 29751660*f.\nAnswer: -37946485*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 36 + 1 - (-152 - (-213 + 73))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3454473362 to the nearest integer?\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20\/15*212\/1060*(-7)\/((-56)\/3900)\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 - -29. Let u = 58 + s. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 8*i + 4*g + 130 = 510, 2*i + 337 = 4*g - 71 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -326 - -330. Let h be c\/(20\/105 - 0). Solve 3*u + 5*d + 6 = -h, 32 = -5*u - 4*d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41416821?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 669\/4 > 168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/54 and 68\/9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2022 - -0.0022. Let x be (-14)\/8 - 2\/8. What is the third smallest value in x, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbntbtnnbnbbb. What is prob of sequence nt?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 10*a**2 - 9*a - 66. Let u = 103 - 108. What are the prime factors of s(u)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, e: 5}. What is prob of picking 2 d?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 y when four letters picked without replacement from ycycyyyy?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + w - 452097, -79 = -5*w - 49. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 2*d**2 + 0*d**2)*(-52893 + 25687 + 26167).\nAnswer: 1039*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-13))**44\/(b**20*(((b\/(b*b*b**(-14)*b)*b*b)\/b)\/b*b)\/b) assuming b is positive.\nAnswer: b**(-604)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97384 is divided by 362.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c + 46. Let o(z) = -1. Let y(u) = -o(u) + w(u). Let v be y(-22). Suppose 0 = -x + 7 - 1. What is the greatest common divisor of v and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -36*j**3 - 480*j**2 + 332*j - 56 = 0?\nAnswer: -14, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4144547 and -1643.\nAnswer: -4146190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144400 and 950.\nAnswer: 144400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05 and 13136120.148444.\nAnswer: 13136120.098444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(4 + (0 - -211)). Let f be 12\/42 - g\/14. Suppose 5*o - f = -1. Solve -5*x + o = -l, 3 - 2 = 5*x + 4*l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5603 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 390 = 35. Calculate the highest common divisor of 153 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4\/15 + 195684*o**3\/5 + 35244248*o**2\/5 + 415886288*o\/15 + 137846016\/5 = 0.\nAnswer: -176, -2, 293706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) -1 (c) 3 (d) 2\/3 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, 3, -469659 in increasing order.\nAnswer: -469659, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 679*r**3 - 488*r**3 - 2*r**2 + r**2 - 189*r**3 + r**2.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23, 37, 53, 71, 91, 113?\n\"Answer: b**2 + 11*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 973085242?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 39*n**2 + 792*n + 110. Determine y(-20).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (40\/(-16))\/((-1)\/(-2)). Let i(y) = y**2 + 9*y + 10. Give i(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*u + 348*u**3 + 343*u**3 + 62*u**3 - 889*u**2 + 9*u wrt u?\nAnswer: 4518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 3) to base 4\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (328\/205)\/(14\/(-5))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/2*1216\/(-3952)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 9*h - 7*h. Which is the nearest to h? (a) -1 (b) -0.2 (c) 0.1 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35743195 is divided by 147.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/257 - -6416\/2313. What is the common denominator of f and 20\/290 - (-13998)\/1392?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1344*p = 1341*p + 282603. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 977256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*i - 43*i = 60. Suppose 11*r = i*r + 101815. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgt when three letters picked without replacement from ttgttttvitgttttgvtt.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 32277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2. Let i(u) = u - 5*u + 344 - 344. Determine i(z(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/4, -2 in decreasing order.\nAnswer: 3\/4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e3ba9 + 1?\nAnswer: -e3ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 233876*j**3 + 6*j**2 - 10*j + 3. Is s(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by 508?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 a when two letters picked without replacement from {b: 1, a: 3, h: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-801 - -1)\/(-5*6\/198375). Round f to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 189 or 195?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -38*n**2. Let i(u) = -9*u**2. Give i(p(m)).\nAnswer: -12996*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 28*z = 138. Let c be ((-492)\/(-9))\/(1\/(-3)). Let b = z - c. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-56)*56\/(-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4246*a**2 - 1 + 4246*a**2 + 27*a**3 - 8*a + 77*a**3 wrt a.\nAnswer: 624*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 18 = -6*m. Suppose s - 28 = 2*z + 3*z, z + m = 0. Solve -12*u**2 + 22*u**2 + 21*u**3 + 47*u**2 - s*u = 0 for u.\nAnswer: -3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 7. Let z be a(0). Let h = 14 - z. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + -2.5. Let d = 34 + -38.3. Let f = d - -2.3. Which is the third biggest value? (a) z (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 4*i**2 + 2*i + 2. Suppose z - 4*z + 5 = 4*n, 4*n - 7 = -z. Suppose 2*f - 4 = n*c, 4*c = 5*c. What is j(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.915514233 rounded to two dps?\nAnswer: 1.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 843*s + 15061. Calculate o(-18).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*f + 0*f = -10, -f = -5*x + 2. Suppose -a + 4*a - 15 = x. Solve 3*h - 14 = a*y, 5*h + 3 = 5*y + 13 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -661 - -8039. What are the prime factors of c?\nAnswer: 2, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/2 + -2 - -1. Suppose -2*o = 2*o - f*r - 284, -66 = -o - 2*r. What is the greatest common divisor of 28 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.9642933 rounded to 2 dps?\nAnswer: 31.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1362 - -1362. Solve 3*k - 12*k = o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -3*j - 29, -3*v - 6*j - 415 = -364 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 - 1969*d + 3 - 18 - 15 as p*d + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 651093 to the power of 1\/2, to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -1\/4 (b) 5\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 216915385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(-31)*(w**(-2)\/w)\/w**10 assuming w is positive.\nAnswer: w**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 31*w**3\/6 - 12*w**2 + 16*w - 3. Does 14 divide x(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336\/(-42)*(-6)\/16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 147658*n + 5450721241.\nAnswer: (n + 73829)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2525, 1, 4, -1, -2, 2 in decreasing order.\nAnswer: 2525, 4, 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 252\/(-49))*14\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3340030 + -300?\nAnswer: 3334230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -38. Let i = t - 9. Solve 2*m - p = 4*m + 9, 2*m + i*p = -24 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 158393499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 5*a + a**4 - 2*a**3 - 657*a**2 + 659*a**2 as n*a + r + c*a**4 + b*a**2 + i*a**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2705 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q - 4 = 0. Let y(j) = -6*j - j + q*j. Let a(n) = -2*n. Calculate a(y(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2 (b) -0.4 (c) 255 (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 24157*b - 24152*b - 29 = 0, -3*b = n - 23 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.3 (c) 0.5 (d) 131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -40*p**2 + 14*p + 7. Let i(l) = 117*l**2 - 43*l - 23. Let a(r) = -2*i(r) - 7*t(r). Let d(y) = y**3 - 1. Let s be d(-2). Is a(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*h + 3*f + 32, -23 = 3*h + 2*f. What is the smallest value in 1, h, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbtttttbtt. What is prob of sequence ttb?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 1\/2, 3, 207, -1, -57248?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n**3 + 20*n**2 + 70*n + 212. Determine b(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160 + -86. Calculate the highest common factor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44.41 - -44. Let y = 49.41 + u. Let v = 49.00078 - y. Round v to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15526072 and -15526072 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615*x = 549*x - 1848 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1462.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/2960 and 22\/15.\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**3 - 7*m**3 - 2*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3669 + -14585\/4. Find the common denominator of r and -61\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2. Let o(c) = 283*c + 84. Let d(v) = 50655*v + 15043. Let u(a) = 12*d(a) - 2149*o(a). Calculate u(x(r)).\nAnswer: -1228*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*(sqrt(304) + 1 + 2 + -1 - (sqrt(304) + 1 + 2 + -2)))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -310 + 1397. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 + -10. Let j = p + -59.88. Which is the third biggest value? (a) j (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 23, -73, 30, -6 in decreasing order.\nAnswer: 30, 23, 3, -2, -6, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588396.\nAnswer: 2, 3, 49033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -42. Let l be (48\/40)\/(2\/40). Suppose 0 = 22*n + 2 - l. Solve w = n + s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + (-126)\/(-24))*56\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(30\/39) + ((-208)\/16 - -16).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 9:11 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3\/5 + 69*k**2\/5 - 818*k\/5 + 528 = 0. Calculate k.\nAnswer: 6, 8, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21449411 > 21449418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.0146 - -0.0146. Let n = 0.13 + 4.87. What is the second biggest value in n, 0.04, x?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36071, 71997, 107923, 143849, 179775, 215701?\nAnswer: 251627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 48. Let u be (4\/(-3))\/(((-154)\/j)\/11). Factor 148 + 146 - 37*m**2 + 3*m**3 + 15*m + m**u + 48*m.\nAnswer: 3*(m - 7)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 6:26 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -40020?\nAnswer: -40016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynnynn. Give prob of picking 3 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4342\/(-39))\/((-180)\/(-216)). What is the closest to l in -1\/4, -2\/3, 2\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95 - -1329\/14. Let g = -0.215 + 27.515. Let d = g + -27.5. Which is smaller: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29566219.\nAnswer: 31, 37, 149, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/7)*d)\/d)\/(d\/(d*d**(-35)))*(d\/(d*d**(7\/4)\/d*d))**(-31) assuming d is positive.\nAnswer: d**(563\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.903 - 10.603. Do o and -4\/25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9090599\/1014 + -8965. Find the common denominator of r and -47\/20.\nAnswer: 10140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -190021 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/24 + (-375)\/(-40). Suppose -i = z - 4*z. Suppose 140 - 41 = z*r. Does 21 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 4*m + 22 as s + h*m and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 17, -2, -3 in descending order.\nAnswer: 17, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s + 5. Let q(h) = -h - 3. Let z(m) = -5*q(m) - 2*y(m). Let n be z(-7). Let d(i) = i**3 + i**2 - i + 1. Determine d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 131856933 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 14 + 2 - 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/(-336) - 6\/(-21). What is the closest to -1 in n, 4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*m = -14, -5*b + 58 = 2*m - 5*m. Suppose -b*u = u. Solve u*t + 4 = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.072 (b) -50 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.9 - 2. What is the closest to k in 0, 4\/5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -496 bigger than 764224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 981*s - 10. Let u be p(-1). Let t = -8876\/9 - u. Calculate the common denominator of t and 164\/(-66)*6\/(-4).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 7 = 2. Calculate the lowest common multiple of d\/6*8\/12 and 50\/(-325) + (-184)\/(-13) + 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdsimppppdidpmsmss. Give prob of picking 1 d, 1 p, and 2 s.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56415?\nAnswer: 3, 5, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 628 - 1453. Let y = m - -1185. Is 45 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**6)\/((j*j**(4\/9))\/j))**16 assuming j is positive.\nAnswer: j**(944\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/93288 and -1\/38870?\nAnswer: 466440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.37 - 0.4. Let l = -0.0369 + 0.1369. Sort k, 3, l in decreasing order.\nAnswer: 3, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 0*j**2 - 2\/7*j**7 + 0*j**5 - 2 + 0*j + 0*j**4 + 0*j**6 + 4\/3*j**3. Find the third derivative of k(l) wrt l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -4, -80291 in increasing order.\nAnswer: -80291, -4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/7 + 522\/(-63). Let b = 11 + d. Let m be (-1 + b\/(-3))\/1. Put 1, -1, m in ascending order.\nAnswer: m, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -482, -1809, -4396, -8663?\nAnswer: -15030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 35 + 13 + 32*t**2 + 2*t**3 - 5*t**3 + 2*t**3 in the form z*t + b*t**2 + m + r*t**3 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11202 (base 4) in base 6?\nAnswer: -1350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 15*g = -13*g + 3, 27 = 4*s - 5*g. What is the least common multiple of 111 and s?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31285535 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.468431 meters to centimeters.\nAnswer: 46.8431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddudddddduduuddd. Give prob of picking 2 u.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -54375 and 0.1.\nAnswer: -5437.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -23984174 greater than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*u + 2*u**3 + 2 - 103*u + 156*u.\nAnswer: 2*u**3 - 24*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 436*v**3*x**2*z**2 + 24*v**3*x**2 - 3*v**2*z - x*z wrt z?\nAnswer: 872*v**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-1\/2)\/r)\/r**4*r**(-3)\/((r*(r**(-1)\/r)\/r)\/r) assuming r is positive.\nAnswer: r**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*d - y - 27, 0 = d + 2*y - 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiibeiieiiebbb. Give prob of sequence bibi.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -191*f - 10. Give g(1).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/12*184\/(-2737)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327968, -655973, -983978, -1311983, -1639988?\nAnswer: -1967993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k - 10*k**3 - 2*k - 9*k**3 - 3*k**3 to the form s*k**2 + n*k + i + p*k**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(1008\/(-18))*-8*1.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 170102977 + -170102884.9999999. Let a = 92 - k. Round a to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llqiiqii.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 21*8\/12. Let z = 28 + s. Solve 4*g + 0 = -z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**8\/560 - i**4\/8 + 2*i**3\/3 + i. Let y(k) be the second derivative of u(k). Differentiate y(j) wrt j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 108*q + 535. Let m be y(-5). Which is the biggest value? (a) 0.5 (b) -2\/5 (c) 3\/10 (d) -1\/4 (e) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1895069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**3 + 1. Let t be l(1). Find the third derivative of t*r**2 + 2*r + 2*r**3 + r - 3*r wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1126 and 1495011031.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 141271 (base 9) in base 12?\nAnswer: 41ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 5*d + 29. Suppose -2*b = -0*b. Suppose -4*t - 2*m + d = -24, 4*t + 3*m - 33 = b. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-3)*(9 + -6). Let c = z - -34. Suppose c*y - 10*y = 128. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 5:18 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*n = -21, 5*u - 4*u + 4*n = 17. Sort -5, -2, u in ascending order.\nAnswer: -5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-2*sqrt(85))\/(sqrt(5) - (sqrt(80) - -2*sqrt(80))))**2.\nAnswer: 2448\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, 3\/10, -5, 5\/4 in ascending order.\nAnswer: -5, 0.13, 3\/10, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3336 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**7\/y**(-1\/7)*(y\/y**(-1\/2)*y)**(-1\/11)*(y\/y**(-9))\/(y**(2\/17)\/y)*y**5\/(y*(y*y\/y**(-2\/5))\/y) assuming y is positive.\nAnswer: y**(267009\/13090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 612533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25\/933 - -61273\/533676. Calculate the common denominator of n and -35\/2.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*l + 250 = 47*l. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 189?\nAnswer: -3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(g**(2\/65)\/g)\/g*g*g\/(g*g**(2\/21))*g*g**0\/((g*g*g*g**(-41))\/g) assuming g is positive.\nAnswer: g**(54512\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*m + 2855*m - 96192 = 0 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 370*j - 10. Let v be n(-5). Let x = v - -3749. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10\/7, -0.1, 4.\nAnswer: -4, -10\/7, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070850 divided by 9?\nAnswer: 356950\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41102824 is divided by 41102823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341179913.\nAnswer: 4253, 80221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*c + 60*c**2 + 23*c + 31*c in the form f*c**2 + s*c + y and give f.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3737*d + 5203*d + 908460 = 1730*d for d.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 9*s**4\/4 - s**3\/3 - 3*s**2\/2 + 6*s + 9. What is the units digit of w(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -3, 3296 in decreasing order.\nAnswer: 3296, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 218464, 218310, 218156?\n\"Answer: -154*s + 218618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 2938.\nAnswer: 2\/1469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 8:10 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 27.43 times -8.8\nAnswer: -241.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**3\/3 + 5*p**2 + 22*p + 4. Is f(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, p: 2, q: 2, c: 3, a: 1, w: 3}. What is prob of sequence eaq?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1191023231?\nAnswer: 61, 19524971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkuxkuuukummxxu. Give prob of picking 1 u and 1 k.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 19*m**6\/20 + m**5\/60 + m**2. Suppose -3 = 3*n - 2*z + 4, -5*z = 2*n - 27. Is c(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/9846762 and 89\/272010.\nAnswer: 49233810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111*t**4 - 150*t.\nAnswer: 1332*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 1 - (-1)\/1 - 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p + 2*p + 2*p + p. Let m(v) be the third derivative of 1\/60*v**5 + 0*v**4 + 2*v**2 + 0 + 0*v + 0*v**3. Determine a(m(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*i - 21 = 0, -5*i - 35 = -10. Let q(t) = 21*t + 60. Let v be q(y). Let a(r) = r - 21. What is a(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**12\/(w*w*w\/(w**20\/w)*w*w*w))**(4\/11) assuming w is positive.\nAnswer: w**(100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 7*q - 8. Let v be d(8). Suppose 3*b + 2*o - 403 = v, o = 4*b + 4*o - 539. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49755.\nAnswer: 3, 5, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 13. Suppose -5*g + 0 - u = -5*b, 0 = g - 3*b + 3. Let t = 3 - g. Solve 9 = t*q - 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 7. Suppose 0 = 4*r, -3*l + 20 = h*l - r. Suppose -n + l*n = 0. Let g(j) = -j**2 - j - 2. Determine g(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 8*s. Let v be f(8). Let d be -2 + v - 14\/(-2). Let j = -782 - -785. Solve -j*b + i - 4 = 0, -d*i = 4*b - 1 - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -9*x**4\/8 - 11*x**3\/3 - 8*x**2. What is the units digit of r(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 bigger than 7248\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 2. Let q be k\/(-14)*(4 + 3). Suppose q*m = -4*w + 144, 5*w + 8 = 3*w. Calculate the greatest common factor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15092634 divided by 6\nAnswer: 2515439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 6.\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 4*z**2 + 2*z + 2. Suppose 10*n - 20 = -0*n. Suppose 0*h = -2*h, 0 = n*b - 4*h + 8. Calculate s(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 23*f + 80. Let x be p(26). Solve 659*r - 660*r = -x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(153) + (sqrt(153) - sqrt(153)*4) + -5 + -2 - ((sqrt(153) - (sqrt(153) + 2 + sqrt(153) + -1)) + -1))**2.\nAnswer: 90*sqrt(17) + 534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/1558 - (197340\/9880 - 20)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 x when four letters picked without replacement from {x: 2, l: 16}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34058557 and 8?\nAnswer: 272468456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 9, -32\/17, 10, 644\/3?\nAnswer: -32\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*6*(-6)\/90?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**13\/(w**(-2)\/w*w*w) assuming w is positive.\nAnswer: w**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 8. Suppose 0 = -a*n + 5*v - 1 + 26, 35 = 4*n + v. Calculate the highest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55? (a) 2.3 (b) -1\/3 (c) -2\/49 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1008 and 1008.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 4) to base 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 2121947*p + 27585142.\nAnswer: (p - 2121934)*(p - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 m, and 1 z when four letters picked without replacement from {c: 1, h: 1, z: 4, m: 2, j: 1, a: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, o: 10}. What is prob of picking 1 w and 2 o?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**2 - 35*o - 11. Give c(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/(q\/(q*q\/((q*q**(-2\/3)*q)\/q))*q))*q)\/q)**(-1\/37)\/(q**9*q*q**(-6)) assuming q is positive.\nAnswer: q**(-448\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10765 - 10761. Solve -n*a = -b - 11, 42*a = 40*a - 2*b - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + -4. Let p = i + 8.7. Let d = p - -1.4. Which is greater: -0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -709818, -709830, -709858, -709908, -709986, -710098, -710250?\nAnswer: -710448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 37*c - 328. Let v be k(-15). Suppose 0*p + g - 471 = -v*p, p - g - 243 = 0. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/28 less than 0.331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(448)*-1 - sqrt(448)) + -2 - (2*sqrt(448) + 3)) + -2)*2 + -3 + -2)*4)**2.\nAnswer: 38912*sqrt(7) + 464528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 - ((-10560)\/(-8))\/(-6) and 11?\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 5:55 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.34 - 0.14. Let a = -1.13 + u. What is a rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2475766411 or 0?\nAnswer: -2\/2475766411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3, -14*x + 11*x + 2*r + 24 = 0. Solve -2*o + x = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from cxcgcmggcgy?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from kkkttkttkkk?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-172)\/(-946)*759\/15594?\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11675922 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 - -0.22. Let v = -0.62 + k. Let r = v + 0.03. Put r, -3\/4, 2\/7 in decreasing order.\nAnswer: 2\/7, r, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19179210367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9234 - -1?\nAnswer: 9235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-33 + 15 + -3)*(-4)\/6 + -2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1110 divided by 2\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*q + 12834*c**2 - 2*c*q + c - 1540863*q with respect to c.\nAnswer: -2*c*q + 25668*c - 2*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -4\/477 (b) 753 (c) 0.4 (d) 0.1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 6*k - 5*k - 10, 4*s - 2*k - 16 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) 4\/5 (b) 62 (c) 0.3 (d) -1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 10438637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.945775 to 2 decimal places.\nAnswer: -40.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 74) + (-2 + 5 - 0) + (324 - 320)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*a + 2*a. Suppose -3*d = -2*x - 8, 5*d - 10*d + 22 = x. Suppose -4 + 7 = -w + d*z, -13 = -3*w + z. Solve v + w - a = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30466379?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 6) to base 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)*-2)**2 + sqrt(33)\/(2*sqrt(11) + sqrt(11)))*6.\nAnswer: 2*sqrt(3) + 5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 213 = 3*h + 2, 0 = 3*h + 2*q + 200. Let m = h + 78. Is 1 + m\/(-5) - (-27440)\/25 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 820 + -814. Calculate the least common multiple of 292 and (-9 - (-294)\/18)*p.\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 54*o - 1835 = -53*o, 0 = 5*f - 5*o + 3025. Let b = -358 - f. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -86, -78, -58, -20, 42, 134, 262?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*q + 17*q + 4911. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14ab - -2445?\nAnswer: 3901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132868931*h**2 - 61812671*h.\nAnswer: -265737862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.807 and 0.4.\nAnswer: 0.3228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 1\/(4\/8). Suppose -z*d + f = -9, -4*d + 30 = d - 5*f. What is the second derivative of -37*x + 29*x + 8*x**d + 31*x wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 158 (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = 1. Sort -2, -7, q in ascending order.\nAnswer: -7, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196 by -2.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -261.08 - -0.08. Let t = 262.395 + b. Let g = t - 1.4. Round g to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 4 (c) 1.076 (d) -1252 (e) -4\/13 (f) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z = -247*z - 528*z - 50610 for z.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 54.\nAnswer: -1, 0, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/20830 and 73\/250?\nAnswer: 520750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 128266, 256533, 384802, 513073, 641346, 769621, 897898?\n\"Answer: b**2 + 128264*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 19 - 3 = 5*d, -2*m = -2*d + 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 772755 divided by 80.\nAnswer: 154551\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 999.\nAnswer: 6993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -b8 (base 12) to base 4\nAnswer: -2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2436 by 12.\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d + 9*d - 11*d - 6*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -46*s - 114. Calculate r(-6).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*g - 2265 = 24*g. Let w = g + -151. Solve -2*q - 5 - 5 = w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305933153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 157 + -79. Does 26 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4651\/14 + -2322\/7. Which is the nearest to 5\/4? (a) 8\/3 (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*i**3 - 134*i**3 + 4*i**2 - 4*i**2 + 1379.\nAnswer: -3*i**3 + 1379","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 2*u**2 + 5*u - 3. Let c be p(3). Find the first derivative of -4 - 3 + 9 - d**c wrt d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + -4 + sqrt(243) + sqrt(243) + sqrt(243) - sqrt(243)).\nAnswer: -30 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 466 + -463. Let p(t) be the third derivative of -t**6\/120 + t**5\/15 - t**4\/8 + t**3\/3 + 3*t**2. Let b be p(d). Let z(x) = 6*x + 2. Determine z(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 6, -1\/3, 804, -4 in increasing order.\nAnswer: -4, -0.5, -1\/3, 6, 804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114172 and 927100?\nAnswer: 362496100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q + 14. Let f(i) = -i - 1. Determine 5*f(t) - w(t).\nAnswer: -3*t - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -2, -2\/11, 82, -2\/199.\nAnswer: -2, -2\/3, -2\/11, -2\/199, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = 3*b. Suppose -b = -2*w + 11. Let s(u) = 7*u - 2. Let v(g) = 14*g - 5. Let j(i) = w*v(i) - 13*s(i). What is the derivative of j(c) wrt c?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 11:27 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10 - -17) + -3 + 0. Let w(v) be the second derivative of v**3 + 5*v + 3\/2*v**2 + 1\/4*v**p + 0. Factor w(l).\nAnswer: 3*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqkq when four letters picked without replacement from qkkqkqqkkqkqqqqk?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171676209?\nAnswer: 3, 23, 2488061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-6)\/(-4))*0. Suppose 4*s + 0 - 32 = m. Solve 5*y + s + 2 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 9*x - 17 + (5 - 5 - x)*(-1 + 3 - 4))*(2*x + 2*x - 5*x).\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + 10.8. Which is the third biggest value? (a) q (b) 0.3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003743 rounded to seven dps?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41595429283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amtm when four letters picked without replacement from {t: 1, w: 1, m: 11, d: 1, a: 1}?\nAnswer: 11\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*w**2 + 19*w**2 - 11*w**2 + 3*w - 16*w**3 + w wrt w?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197166437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by 33524\nAnswer: -15\/16762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(126))\/sqrt(2))\/(sqrt(448)*2))\/(-6*1*sqrt(432)*5).\nAnswer: -sqrt(3)\/2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20\/65 - (-186372)\/156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37155 and 270?\nAnswer: 668790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6763785, 27055136, 60874055, 108220542?\nAnswer: 169094597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2 + 2*z + 3. Let b be o(-3). Let f = 81 - b. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111110111111 (base 2) to base 4.\nAnswer: -332333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*(sqrt(17) + (sqrt(17) - (sqrt(17) - sqrt(17)*1))) + ((sqrt(1700)*-2)**2 - sqrt(1700))*6.\nAnswer: -62*sqrt(17) + 40800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/((-164)\/(-8) + -6). Let x = h - 25\/116. Find the common denominator of -11\/148 and x.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**4\/5 - 87*k**3\/5 - 282*k**2\/5 - 192*k\/5 = 0.\nAnswer: -2, -1, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -708 or 201249?\nAnswer: -708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -8 - 4503\/627.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201 - 44?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.66 and -57800.\nAnswer: 153748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*g**2 + 210*g**3 + 2 + 70*g**2 - 36*g**2 in the form h*g**3 + o*g + k*g**2 + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3845133?\nAnswer: 3, 427237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 4*u = 3*q + 6, -3*q - 2*u + 5 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4865388*a**2 + 4865387*a**2 + 0*a + 0*a. Let p(n) = 2657*n**2. What is p(t(r))?\nAnswer: 2657*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u - 2*y, 4*u = -u + 2*y + 17. Let x = -9 + 7. Let q = 19 - x. What is the highest common divisor of u and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8))\/((-18624)\/(-414) + -12 + -33).\nAnswer: -69\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*5*4*(-2*sqrt(112) + (sqrt(7)*1*-4 - sqrt(7))).\nAnswer: -1 + 1040*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.081 and 16.\nAnswer: -1.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-54) + -7*1\/18. Let p be -10 + 385\/44 + 0. Which is the second smallest value? (a) -1 (b) t (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5297.13 + 5331. Let m = -2.57 + s. What is m rounded to 0 decimal places?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 54 - 59 = 2*o, 0 = s - 3*o + 26. Let u = s - -18. Let d(v) = -7*v + 11. Let a(m) = -10*m + 16. Let z(f) = -5*a(f) + 7*d(f). Determine z(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1 - 4*x**2 + 9*x**2 + 6*x**2. Let h(u) = -5*u + 4. Let z be h(1). Let t be k(z). Solve -4*y + d = 4, -4*y - 2*d - t = 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*(-4)\/16.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 527 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -351136, -702271, -1053406, -1404541, -1755676?\nAnswer: -2106811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-28698295\nAnswer: -1147931.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45*(-10)\/(-144)*2\/(-5).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 200359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -8627233\nAnswer: -25881699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -20005.\nAnswer: 1\/20005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 31064.91621 to 0 decimal places.\nAnswer: 31065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 96293599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/18*(-2 + -7)\/3. Put p, 2, 0 in descending order.\nAnswer: 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**4\/6 + r**3\/3 - 19*r**2 + 3*r. What is the derivative of x(q) wrt q?\nAnswer: 4*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46025, 92045, 138061, 184073?\nAnswer: 230081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29371 = 222*r + 37585 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 2020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12 - 0)*10\/8. Let h = 32 + l. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6916802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 70?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -0.3. Let h = -0.0743 + -7.1657. Let g = -6.84 - h. Which is the closest to o? (a) g (b) -3 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 114 and 0.1.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121010222123 - 110?\nAnswer: -121010222233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 - 7*h + 7*h + 0*h. Let k(c) = -3*c**2. What is k(n(g))?\nAnswer: -27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 28674, 1, -213 in increasing order.\nAnswer: -213, 1, 28674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 5*i**2 + i. Let p(x) = -2*x**3 - 12*x**2 - 2*x. Calculate 12*h(r) + 5*p(r).\nAnswer: 2*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-50) + 15367\/3025. Solve 44*k + h*c = 43*k - 11, 2*k + 3*c = -8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324 divided by 118?\nAnswer: -162\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k + 23. Let r(o) = -1061*o - 2457. Let y(g) = -r(g) + 2*w(g). Differentiate y(v) with respect to v.\nAnswer: 1057","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**2 - 55*y + 55*y + (3 - 1 - 4)*(y**2 - y**2 + 2*y**2).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*a - 6, 3*j + 6*a - 38 = a. Let v(i) = -i + 18. Let f be v(j). Solve -5*c = f*q - 29, 2*q + 19 = 5*c - q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 11) to base 3\nAnswer: -12201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from pkbphxbxxhpkphbpbb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200)\/140 + 6\/14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/27)\/(-8))\/1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 2*s**2 + 2*s**2 + (-2*s**2 + 10*s - 26 - 12*s + 0*s**2)*(5 - 2 + 0))*(-1 + s + 1).\nAnswer: -5*s**3 - 6*s**2 - 78*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 146, 123, 80, 11, -90, -229, -412?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 - 1. Let h be p(1). Is 8 a factor of (-3 - 13)*h\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.8 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, p: 3, j: 2, m: 1}. Give prob of picking 3 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 3893614.\nAnswer: 116808420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3194 minus 220?\nAnswer: -3414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4) - (-9)\/(-6). Let w be (12\/(-8))\/(j\/(-3760)). Does 13 divide 7\/((-126)\/w) - (-2)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 10:55 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 17 = -0*m - 2*r, -5 = -5*r. Let w = -41 - -78. Suppose m*s - 4*s = w. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -9. Let k(y) = 13*y - 3. What is the remainder when k(2) is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90 - -152) + -105 - 46\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 235 + -189. What are the prime factors of n?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(3))\/sqrt(4) - sqrt(784)\/sqrt(7))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ec (base 15) in base 6?\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10 = -5*a. Suppose -4*r - 8 + 2 = -2*c, -r - 5*c + 4 = 0. Let d be a - (1 + (-2 - r)). Solve -3*x + d*x = 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((121\/(-132))\/11)\/(1\/9)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 6. Let h be d(4). Is 2\/4*h*163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516.1935ng in milligrams?\nAnswer: 0.0005161935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 2*t + 18*p - 19*p, -2*t + 5*p = -74. Let h = 1 - 1. Suppose 18*g - 19*g + t = h. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 194, 5, -3, -4, 31 in ascending order.\nAnswer: -4, -3, -1, 0, 5, 31, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 11300 and -1.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 19. Suppose 5*a - 11 = z, -4 = 4*a - z - 3*z. Suppose -a*x = -x - 22. What is the lowest common multiple of y and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 12*x. Let g = -196 + 229. Let b(f) = 19*f**2 - 61*f**2 + g*f**2. Determine w(b(s)).\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*o + 28 - 43 = 143 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*n**2 - 29*n**2 + 81*n**2 + 101*n**2 + 223*n**2 to the form v*n**2 + d*n + u and give v.\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9472109.\nAnswer: 9472109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1237\/7 - 177. Let j = -13\/21 - m. Suppose -4*u - 2*u = 2*u. Which is the closest to u? (a) j (b) 0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/10 (b) -7 (c) -0.4 (d) 133 (e) -0.11 (f) -6\/13 (g) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -415*p**5 + 96*p**2 - 336214*p wrt p.\nAnswer: -8300*p**3 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -14. Let x = -5028 + 25144\/5. What is the nearest to -1 in n, 1, 18, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(236\/48 - 5)*3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x + 20. Let p be s(9). Let n(i) be the first derivative of 1 + 0*i - 2\/21*i**3 - 2\/35*i**5 + 0*i**p + 1\/7*i**4. Factor n(y).\nAnswer: -2*y**2*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4\/4 + 3697*q**3\/2 + 95909*q**2\/4 - 81296*q - 775005 = 0. What is q?\nAnswer: -7381, -14, -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 1:52 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*(5*(sqrt(304) - (0 + sqrt(304))*2 - sqrt(304)) - (1 + sqrt(304)*-1*-5))**2.\nAnswer: 360*sqrt(19) + 205203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e1 (base 16) in base 13?\nAnswer: -2b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 > -1077794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqyycqyqqyq. What is prob of sequence yy?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 30*c**2 - 33*c + 68. Let p be w(31). Suppose -p = -v - v. Solve v*x = -x + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**0)\/(j**(-37)*j))\/(j**20\/(j\/((j\/(j**(-4\/7)\/j))\/j))) assuming j is positive.\nAnswer: j**(115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-24) - 10\/(-6). Solve 4*w - 30 = -a*b, 3*w - 5*b = -w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*d + 15, 0 = -4*u - 2*d - 206. Let c = 54 + u. Suppose -2*y - 2 = -8. Sort c, y, 1 in ascending order.\nAnswer: 1, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -1 (c) -5270 (d) -92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 2. Let o(r) = 2*r + 3. Let v(d) = 2*o(d) + 3*t(d). Let w be 1 + (2 - 1) + -2. Suppose -5*m + 0*i - 5*i + 30 = w, -10 = -5*i. Determine v(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8\/29 + -3\/116. Is d at least -0.035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Suppose 3*c = -4*g, -3*g = -3*c - 4*g - 9. Let t(f) = -f**2 - 6*f - 5. Let y be t(c). Let b(q) = -2 + 5 - y - 3*q. What is j(b(v))?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/7*p + 3\/7*p**2 - 18\/7.\nAnswer: 3*(p - 1)*(p + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 5 - 7 - 3 + 4*s**2. Let o be i(-4). What is the units digit of (-38)\/5*o\/(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 16 = -4*j - 10, 4*k + j = -15 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-484)\/2)\/(-22) - -63. What is the second smallest value in 10, 1\/3, j?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**2\/8 + 11037*r - 243630738 = 0.\nAnswer: 44148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-10)*(-144)\/(-504)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38144578 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/9*k - 16\/9*k**5 - 14\/3*k**3 - 16\/9*k**2 - 44\/9*k**4 + 0 = 0. Calculate k.\nAnswer: -1, -1\/2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16101 and 967833.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 - 263*r**3 + 9748*r**2 - 15120*r - 2060352.\nAnswer: (r - 219)*(r - 28)**2*(r + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(45\/252) + 51057\/549\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v = 28*v + 356. Calculate the remainder when v is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, -261, -957, -2317, -4563, -7917?\n\"Answer: -37*d**3 + d**2 + 2*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33537*v + 1 - 1 - 36888*v.\nAnswer: -3351*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -253 divided by 6\nAnswer: -253\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 + -135\/2. Let o = -9.17 + 10.17. Which is the nearest to o? (a) z (b) 1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 244\/427*((-70)\/(-20))\/(90\/100).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3645437684?\nAnswer: 2, 7, 31, 4199813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*f + 15*f - 576 = 0. Let a(x) = -58*x + 574. Let l be a(f). Suppose -2*j + 54 - 2 = 0. What is the greatest common divisor of j and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 374691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18b210 (base 12) to base 3.\nAnswer: 211001101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*c**3 + 379510048*c**2 - 108431440*c.\nAnswer: -4*c*(c - 13553930)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1034.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5\/m*m*m**3)\/(m**(-1)\/(m**(-1\/2)*m)))\/((m*m**7)\/((m**(1\/7)\/m)\/m))**(-49) assuming m is positive.\nAnswer: m**(985\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 0.2 (c) -12 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + ((-1*sqrt(14))\/sqrt(7) - sqrt(2)) - (sqrt(2) + -1 + 0 + (1 + sqrt(288))**2)).\nAnswer: -280 - 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 + 25. Let k(s) = s + 14. Let g be k(a). Find the second derivative of -2*x**5 + x - g*x**3 + x**5 + 2*x**3 wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o**2. Let c(h) = -530*h + 1057*h - 527*h + 11*h**2. Calculate i(c(b)).\nAnswer: 847*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -30, -4.7?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - 15*q + 3. Let m(d) = -d**2 + 7*d - 2. Let f(w) = 3*g(w) + 7*m(w). Let k be f(0). Which is greater: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -599 * 47\nAnswer: -28153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441 = 50*y - 182 - 477 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y + 16 = 0. Let b(h) = 2*h + 6. Calculate b(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 41*a**2 - 8*a**2 - 17*a**2 - 7*a**2 - 20*a**2. Let z(u) = 4*u + 10. What is h(z(x))?\nAnswer: -176*x**2 - 880*x - 1100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, 74, 206, 364, 548, 758, 994?\nAnswer: 1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 7330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eexttxwxxgwwttxtx. What is prob of sequence xw?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10585*u**5 + 2*u - 535?\nAnswer: -211700*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 2, -2*m - 3*h = h - 36 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p - 11. Let w(n) = -n - 4. Let l(x) = -8*w(x) + 3*y(x). Let r(z) = -3 + 5 - 1. Let a(s) = l(s) - 6*r(s). Differentiate a(o) wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 201 (b) 0.1 (c) 4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.121 rounded to 1 decimal place?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -71*i**5\/40 + 59*i**3\/6 - 198*i**2. Let t(h) be the first derivative of b(h). Let r(f) = -f**2. What is r(t(y))?\nAnswer: -45369*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -69*o**5\/5 + 15*o**4 + 63*o**3\/5 - 15*o**2 + 6*o\/5 = 0.\nAnswer: -1, 0, 2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 16*v**2 - v**2 - 1 - 1)*(v + v - 4*v).\nAnswer: -30*v**3 - 4*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 2*n**2 - 52*n - 12. Let h be l(-6). Solve u = -2*i - h, -53*i + 56*i + 16 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 240, 365, 492, 621, 752, 885?\nAnswer: 1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011101 (base 2) in base 3?\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2062.1 * -0.13\nAnswer: 268.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t. Let l(a) = -18*a + 6*a - 2 + 18*a. Calculate l(n(g)).\nAnswer: -24*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2384*y**3 - 3*y**2 + 2*y - 1. Give u(1).\nAnswer: -2386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21729, 86878, 195413, 347334, 542641?\n\"Answer: 21693*o**2 + 70*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.87 - -9. Let j = -49.7 - -52.83. Let n = o - j. Put n, 3, 1 in descending order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117 is divided by 556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 0.2, -0.4, -0.125, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -63*k**2 - 55*k - 25. What is the first derivative of s(m) wrt m?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 3. Suppose 0 = 2*d + b*d - 100. Suppose 0 = -0*w + 5*w - d. Calculate the remainder when w is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -82355, -658763, -2223311, -5270069, -10293107?\n\"Answer: -82345*i**3 + 7*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -421, -3338, -11261, -26692, -52133, -90086?\n\"Answer: -417*y**3 - y**2 + 5*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 210515 - 43250?\nAnswer: 123225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 619 divide 6461741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 13 + 3*b**2 + 4 + 0 + 7*b**2 to the form n*b + y + t*b**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 13. Suppose n*u = u + 105. Calculate the remainder when 81 is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 + (2 + -9 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87665178 and 16326?\nAnswer: 262995534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 + 389.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1994 - 3994 + 1999 - 4*a + (4*a + a - 7*a)*(2 + 2 - 5).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(1\/(-2)*4). Solve -3*h - h - 2*q = 20, 0 = -u*h + q - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2503069 by 7.\nAnswer: 2503069\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**3\/2 + 9969*b**2\/2 + 8226645*b\/2 - 91703337\/2 = 0.\nAnswer: -1667, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -527, 133, 789, 1441, 2089?\n\"Answer: -2*h**2 + 666*h - 1191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*x**5 - 107*x**3 + 99*x**2 + 40*x - 2437.\nAnswer: -220*x**3 - 642*x + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4879566, 9759448, 14639330, 19519212?\nAnswer: 24399094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*(u**(1\/11)\/u)\/u))\/(u**3\/u))\/((u*u**1\/u)\/u)**(2\/47)*((u*u\/u**(-2\/7))\/u)\/u**(-4)*u**7\/(u**(2\/3)\/u) assuming u is positive.\nAnswer: u**(2894\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -280.5958 to one decimal place.\nAnswer: -280.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3526889 is divided by 3363?\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 45\/15*(-597)\/(-9). Let o = 181 - n. Let y(g) = g + 23. Determine y(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 11 = -25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-38 + (-21 - -69)) - -104?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than 0.17179314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**2\/6 + 279135895*a\/3 - 77916847877451025\/6 = 0.\nAnswer: 279135895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)\/n*n*n\/(n**(-2)*n*n))**(-12) assuming n is positive.\nAnswer: n**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 - 19*q**2 + 20*q + 11. Let y(l) = l**3 + 9*l**2 - 10*l - 5. Let i(o) = -3*s(o) - 5*y(o). What is the tens digit of i(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -194*n**2. Let m(i) = 22*i + 16. Let w(d) = 8*d + 6. Let q(y) = 3*m(y) - 8*w(y). Give q(l(j)).\nAnswer: -388*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 15*v - 12. Let g(c) = -14*c + 12. Let r(i) = 5*g(i) + 4*u(i). Find the first derivative of r(l) wrt l.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4 + 0 - 3 - 19*g. Is t(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676189621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 1170?\nAnswer: -1171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*c - 2*s - 10, -3*c = -3*s - 12. Suppose -2*a = -6 - c. What is the third smallest value in 2, 3\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + (sqrt(3) + sqrt(3) + -3 + (sqrt(3) + sqrt(12)\/sqrt(4) - sqrt(3)))**2.\nAnswer: -18*sqrt(3) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1017 and 4633?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 34544323 (base 6) to base 14\nAnswer: 1dc6a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.869343 litres in millilitres?\nAnswer: 6869.343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22655500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10\/29 (b) 1.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 0 - 5\/12*g**4 + 1\/3*g**3 + 0*g - g**2 + 1\/60*g**5. Let o be b(10). Solve -10 = -j - 4*p, 2*j - p - o = -3*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1, -13.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**2 + 5. Let r be j(3). Calculate the highest common divisor of 24 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2104 divided by -4.\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17926?\nAnswer: 2, 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 53\/(-2)*(2*-2 + 2). Which is bigger: -0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -207*p - 474. Calculate g(-3).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 - 50. Suppose -z - p = -4*z. Calculate the greatest common divisor of 85 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.20456ml in litres?\nAnswer: 0.03120456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 0 = -3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (715460\/(-11280))\/(-83) + (-15)\/20.\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/(-2014) + (-13338)\/(-477)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 + -71. Let n = k + -38. Let y be 3\/n + (-27)\/12. Sort -10, 0, y, 2 in increasing order.\nAnswer: -10, y, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 657.\nAnswer: 7227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 - 5153642?\nAnswer: -5154006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5, -2*l - 39 = 4*u - 231. Let g = 201 - l. Let i = g - 60. What are the prime factors of i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gddddddg. Give prob of picking 2 d.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 604425 and 85875?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134.8 - -136. Let u = -2 - -2.2. Let h = j - u. Sort -3, h, -0.3.\nAnswer: -3, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(156) - sqrt(156))\/sqrt(12) - sqrt(1872)*1.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d. Let f(i) = 17*i + 30*i - 36*i. Calculate f(v(o)).\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244871?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -8.1. Let m = -0.09 + -0.01. Let d = j + m. Is -1\/3 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 189*h = 48*h - 1130 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3434742*j. Let v(n) = 2*n. Determine h(v(t)).\nAnswer: 6869484*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 20*y**2 + 0*y - 100\/3*y**3 + 125*y**5 - 125\/2*y**4 + 13. Solve h(o) = 0 for o.\nAnswer: -2\/5, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -589180 divided by -5.\nAnswer: 117836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 77*y - 150. Let g = 2218 - 2216. Let p be h(g). Determine o, given that 2\/3*o**2 + 0*o**3 - 2\/3*o**p + 0 + 0*o = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27 - 13) + (-1 - -2). Let g = 61 + k. Calculate the highest common factor of g and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 117 = -14*f. Suppose 4*y - 12 + 0 = 0. Solve -f = -y*b - 2*z + 6, 2*b = -4*z + 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 + 5 - 5)*(0*x**2 + 2*x**2 - x**2) + (-2*x**2 - x + x)*(-2 + 3 - 4) + 4*x**2 + 2*x**2 - 3*x**2 to the form z*x**2 + f*x + y and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13bb78 - -30?\nAnswer: -13bb48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o - 3*o - o)*(4 + 3*o - 4)*(-o - 3*o + 2*o)*(0*o**2 + 0*o**2 + 2*o**2).\nAnswer: 120*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.09236 nanograms in tonnes?\nAnswer: 0.00000000000000709236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14756359 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21212.0934 - 21214. Let l = h + 2.26677. Let w = -0.36 + l. What is w rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 95.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0*y - 1260. What are the prime factors of y?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 2*o + o + (-5 + 1 + 3)*(-2*o + 1 - 1) + 4*o + 3*o - 2*o.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5450252 (base 6) to base 7.\nAnswer: 2205665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 381 = -3*u, -5*u + 6*u - 183 = -v. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 57\/(49\/14 - 2). Which is smaller: b or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 5 (c) 0.104 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5900*y = 145216 - 446116 for y.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8)*((-58121)\/(-46))\/(-133).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1170750 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-9)\/(-22) + 4\/(-8)). Suppose -588 = -18*p + m*p. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-212)\/(-477) - 46\/(-18)) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -154*f**4 - 2614*f**3 + 22552*f**2 + 121384*f - 3168 = 0.\nAnswer: -22, -4, 2\/77, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137093, 137309, 137895, 139037, 140921, 143733, 147659?\nAnswer: 152885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 + 4*g**2 - g**2 + (3*g + 2*g**2 - 3*g)*(-3 + 5 + 0) + g**2 - 2*g**2 + 3*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p - 7. Let h be k(6). Suppose -h = 2*b - 3*b. Suppose -4*m + 3*m + b = 0. Solve 0 = m*v + 2 - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/40 and 79\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 15, -2188, -2, -5\/7, 0?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - q + 1. Suppose -3 = -5*k + 2. Let o be f(k). Let p be 1 - (0 - (2 - o)). Solve 0*d - p*d = -10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**2 + 2*v - 2*v)*(-394 + 306 - 808) to the form t + d*v + x*v**2 and give x.\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffb when three letters picked without replacement from bfbbbfbb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 185363319 a multiple of 536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9575, -19102, -28487, -37658, -46543, -55070, -63167, -70762?\nAnswer: -77783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4961817 years in decades?\nAnswer: 0.04961817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/4*l**2 + 3\/4*l + 0 = 0. Calculate l.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 6*a = -2*a - 52, 5*h - a = 53. Suppose 22*i = h*i + 204985. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 388 = 5*c - p, 0 = 4*c + 4*p - 312. List the prime factors of c.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -939 + -20531?\nAnswer: -21470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.798 or -134?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.31863 years to millennia.\nAnswer: 0.05231863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n + 2*n - 4 + n - 8*n. Let j = 13 + -18. Let t(q) = 3*q + 3. Let l(w) = j*t(w) - 4*m(w). Determine l(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301.91097 rounded to one dp?\nAnswer: -1301.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.8 + 2. Let t = -2 + 2.3. Let v be (-4)\/(-26) + 603\/(-117). Which is the nearest to i? (a) t (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-141)\/(-94))\/((-1)\/6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*d**2*f**2 + 8*d**2*f*k**3*q**3 - 3*d*f**2*k*q**3 + d*k**2 + 2*f**2*k**3*q**2 - 2*f**2*k**3 - 9*f**2 wrt d.\nAnswer: -24*f**2 + 16*f*k**3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124134 - 4?\nAnswer: 124130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5517 + 5557 = 0 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**2\/8 + 63*h\/2 - 276 = 0. Calculate h.\nAnswer: -92, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and 13.5.\nAnswer: -229.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 y, and 1 x when three letters picked without replacement from yxxxpvxpyyvvyyy?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -d + 43. Suppose -2*x + 0*x = -d. What is the greatest common divisor of x and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 23. What is the smallest value in 3, 1\/17, i?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -39. Let f = 0.1 + 1.9. What is the closest to w in f, -1\/3, 2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-8)*136\/(-153). Let q = 0 + 0. What is the smallest value in o, q, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 3*c + f - 55, 0 = 3*c + 3*f - 111. What is the greatest common factor of c and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o - 30538 = 38112 - 1072906. What are the prime factors of o?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 5. Let s(j) be the second derivative of j**4\/12 - j**3\/3 - 9*j**2 - 40*j. What is the remainder when s(-5) is divided by i(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 568, 5, -20, 0, -5 in descending order.\nAnswer: 568, 5, 0, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**7\/1680 - w**6\/720 + w**5\/60 + 4*w**2. Let r(x) be the third derivative of s(x). Calculate r(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (835 - 835 + 37*o)*(8 + 2 - 7 - o).\nAnswer: -37*o**2 + 111*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + -29. Let v = 36 + g. Which is the closest to v? (a) -1\/2 (b) 1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 453575366 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/5 + 1536724*y**2\/5 - 59038938328*y + 1771112828208\/5.\nAnswer: -2*(y - 384178)**2*(y - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48bc1b (base 15) to base 4.\nAnswer: 31102023233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 3*i + 4. Let m be j(0). Suppose -m*g - 260 = -6*g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**3 - 2674*q**2 - 80*q - 31.\nAnswer: 6*q - 5348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000062960666 rounded to 7 dps?\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 16*m - 248. Let w be q(33). Let r be 10 - ((-1)\/(-2))\/(28\/w). Solve r*p + 19 = -1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1396898?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 122, 202, 296, 404, 526, 662?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40 + 1 + (-6 - -5). Suppose 3*o + o - 13612 = 0. Let j be (o - 13)\/(6\/y). What is j rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -33752.\nAnswer: -135008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 36\/81*(-522)\/3596\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1221ab4 + 63?\nAnswer: 1221b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30982418 and 2872.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -10. Suppose -4*o = -h*w - 16, -2*w + 1 + 3 = o. What is the units digit of o\/10 + 72\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 5*o**2 + 5*o**2 + o**2 + 6. Let f be i(0). Solve 2*a = f*a + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150647293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -143233 - -7?\nAnswer: -143224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -62*q + 1200. What is g(19)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372948 is divided by 124186?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**3 + 6*d + 9. Let n(r) = -r**3 + r. Determine -i(v) + 6*n(v).\nAnswer: -v**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-4)*4\/3. Let k = -3 - j. Are -1 and k nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7543 - 1404 = 7*a. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -2 - 17\/48*p**4 + 1\/12*p**5 + 0*p + 90*p**2 + 2\/3*p**3 - 1\/240*p**6. Factor n(y).\nAnswer: -(y - 8)*(y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b - 320. Let z be r(47). What is the highest common divisor of z and 729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/2 - (11 + 5)\/(-4). Let x be 1\/(-2)*(-10)\/(-8). Is l != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**3\/3 - 3*c**2 - 7*c - 1. Let k be f(8). Suppose 2*g = -2*r + 69 - k, 0 = 4*r - 20. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -9)\/(((-15)\/(-2))\/(-5)*(-14)\/(-49)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.377257.\nAnswer: 0.1131771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 185 + -183. Let p(h) be the second derivative of 1\/4*h**5 - 1\/30*h**6 + 2\/3*h**3 - 3*h + 0*h**x - 2\/3*h**4 + 0. Let p(s) = 0. What is s?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 22*b**3 + 14*b - 13. Calculate the remainder when 203 is divided by o(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 259 - 246. Suppose b + 2*x - 281 = 0, x - 285 = -14*b + c*b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 11. Let a(b) = -b**3 + b**2 - b + 1. Let u be a(0). Suppose 0 = 3*y - 3*s - 75, -5*s + u = -0*y + y. Calculate the remainder when y is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -515359 - 12?\nAnswer: -515371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -10*t + 45. Suppose -4*x + g + 8 = 0, 0 = -5*x + 3*g - g + 10. Suppose 6*w - 5*w - x = 0. Solve -2*v - 3 = -v, 3*d + t = -w*v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227637, 910520, 2048639, 3641994, 5690585?\nAnswer: 8194412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 11 = -5*o + 5*k, 2*o - 3*k = 0. Let a(y) = -4*y - 2 + 2 + y**2 + o*y. Let z be a(0). Solve z*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29042.\nAnswer: 2, 13, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96511635 and 7920.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 516.86 - 512. Let m = 4.8600251 - v. Round m to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*d + 16 = 0, -5*d - 24 + 4 = -4*q. Let v(p) = -p**3 - 4*p**2 - p + 1. Let u be v(-4). Let s(h) = -1 + h**2 + 3 + 0*h + q*h - u*h. Calculate s(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhf when three letters picked without replacement from {f: 4, h: 4, t: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.2. Let a = 0.63 + -0.55. Is a at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**2 + 7*i**2 - 6*i**2)*(-156 - 15*i**2 + 159 + 113*i**3 - 108*i**3).\nAnswer: -25*i**5 + 75*i**4 - 15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 83497 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/54)\/(31\/(1116\/(-20))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-8)*4\/50. Suppose 3*y - 3*f = 3, -4*f + 5*f = -y - 3. Is y < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*a + 41 = 0, 2*o + 5 = -5*a - 5. Suppose 0 = o*i - f - 0*f - 20, i - f - 4 = 0. Let c = -0.39 - 0.01. Sort i, 7, c in ascending order.\nAnswer: c, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/15 and -109\/9000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45.07 + -45. Let n = 4 - 4.23. Let l = n - d. Which is the second biggest value? (a) -5 (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwmwwwmwwwmwmwwww.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 798848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00329971 to 4 decimal places.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3389809074.\nAnswer: 2, 3, 4243, 133153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57\/13961 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, d: 4, q: 3}. What is prob of picking 2 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 35. Let k = -10 + u. Solve 5 = -5*a, 5*f + 0*f + 2*a + 27 = k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 24. Suppose -3*v = -3*u - 246, -5*u = -0*v - 3*v + 408. Let i = -39 - u. What is the greatest common factor of i and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b639 (base 14) to base 7.\nAnswer: 160402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 9, -2\/7, -7, 13\/5, 0.08, 0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = -44 + 26 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 33*k**2 + 75*k - 38. Let b(o) = o**2 + o - 2. Let x(w) = -2*b(w) + j(w). Let m be x(-37). Solve -18 = 3*q - 2*f, -2*f - 6 = m*q - 0*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - 15*o + 37. Give v(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -42 and 1.933719713.\nAnswer: -40.066280287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b - 9*b = -88. Calculate the remainder when ((-33)\/15 + 1)\/(4\/(-60)) is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24543, -49082, -73621, -98160?\n\"Answer: -24539*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-11835)\/326646*(-4)\/(-5)\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01109075 rounded to 4 dps?\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 4 + 22 + -12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -2*s - 110, 0 = -m - 2216*s + 2220*s - 22 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -38*m + 6. Let d(x) = 37*x - 5. Let w(n) = -4*d(n) - 3*q(n). Let v be w(-4). Let f be v*((-300)\/(-9) + 0). What is f rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125 (base 13) to base 14.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x - 4 - 3*x + 2 - 11. Let b be m(-8). What is the first derivative of 13 - 9 + a**3 + 10*a**b wrt a?\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q + 9. Let y(o) be the first derivative of -o**2 - 3*o + 4. Let u(d) = d**3 - 16*d**2 - 79*d - 24. Let h be u(20). Determine h*p(i) - 11*y(i).\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-14)\/(-16))\/((-21)\/3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26466 + -16810. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24, -77, -160, -273, -416, -589?\n\"Answer: -15*d**2 - 8*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 4*g + 2 + 4*g)*(0*g**4 - g**4 + 2*g**4).\nAnswer: 4*g**5 + 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4))**(-3\/5)*n**(-6\/5)\/(n*n*n**(3\/5))*(n*(n\/n**10)\/n*((n\/n**(1\/5))\/n)\/n)**(10\/9) assuming n is positive.\nAnswer: n**(-899\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - -11. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 813718, 1627464, 2441210, 3254956, 4068702, 4882448?\n\"Answer: 813746*m - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 14*a - 4. Calculate m(-17).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -22*j + 81. Let x be m(-12). Suppose x = 13*o - 669. What is the greatest common divisor of 52 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 58 or 396\/7?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1 + 114*k**2 - 225*k**2 - k - 6*k + 110*k**2. Determine z(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2998807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/216576 and -37\/13724.\nAnswer: 15810048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -5, -4, 2, 1 in increasing order.\nAnswer: -35, -5, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0144 + 9.\nAnswer: 8.9856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0416386307 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9998 (base 10) to base 16\nAnswer: -270e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 11*z**2 + 37*z + 409. Let b be h(-11). Let f = 3 + 0. Suppose -u = -f*x - 1121, b*u - 4452 = -2*u + 4*x. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2138 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/6 + 235*g**3\/3 - 234*g**2 + 46*g. Solve p(m) = 0 for m.\nAnswer: 1, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7134543 and 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61633, 246487, 554567, 985873?\nAnswer: 1540405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 5 - 22)*(1 - d - 2 + 3*d).\nAnswer: -38*d + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-25)\/(-3))\/(2\/6). Suppose 3*o = 2*y + y - 45, -2*y + o + a = 0. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iffiffi. What is prob of sequence ii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuuuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 4 (c) 270\/23 (d) -4 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -274, -400, -524, -646?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -2756.664, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6125*w - 18379. What is o(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**5\/2 - n**4\/8 + 7*n**3\/6 - 7*n**2. Let v be h(3). What are the prime factors of 4\/18 - v\/(-9)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by -1\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/5 - -1)\/(154*(-1)\/(-110))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73652811?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -920 = 304*m + 1208 + 912 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476559 is divided by 1299?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -26, -3, 0.0168, 0.2, -1?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, t: 3, s: 1, f: 6}. Give prob of sequence fj.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l + 12. Let z be d(0). Let q be (z\/10)\/(2\/15). Suppose u = -q*u. Solve u*p - 16 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*g - 182*g + 2*z = 24274, 4*z - 60692 = -5*g. What are the prime factors of g?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 + -86. Solve 10*c + p = 12*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**2\/2 + 393. Let w(t) = -70*t**2. Calculate w(o(a)).\nAnswer: -70*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 5 (c) -3561 (d) 0.3 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, -5, 3\/7, 4, -6, 48621?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6827 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2. Let r(t) = -t**2 + 8*t - 2. Let g be r(7). Let s(x) = 2 - g + 3 - 5*x**2. Give j(s(m)).\nAnswer: -25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2202067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 8:07 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {h: 4, p: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1235833 + -1235830.418905. Let c = -2.58 + d. What is c rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49403122?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5, 4*t + 4 = j - 0*j. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8766338 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55148282?\nAnswer: 2, 7, 349, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) -38 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.2 - 7. Let i = 11 + -13. Which is the nearest to i? (a) -5 (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.216 - 0.076. Suppose -3*w - k = -7, 14 - 4 = 4*w + 2*k. Let p be w\/7 - (-2)\/(-7). Which is the biggest value? (a) -4 (b) n (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-2 - 1) + 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10657 + -10623.035. Let w = l - -0.035. Let p = 34.000052 - w. Round p to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6738516833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 14*d**2 + 13*d + 8. Let g be w(13). Suppose -2*m - 5*k - 2 = 0, -m + 3*k = -g - 2. Let h(c) = c**2 - 2*c - 1. Determine h(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24.3743 from -13207403.\nAnswer: -13207427.3743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*w - 12 = -6*v, 12 = 4*v + 4*w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v + 4 + 131 = 0. Let y = -0.2 - 1.4. What is the fourth smallest value in v, 0.1, y, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 3*a + 21 = 0, -4*a - 2 = -l - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3 + 2)*((3 + 0 - 1)*(6*u - 2*u - u) - 4*u + 4*u + 2*u) + 27 - 27 + 61*u in the form a*u + n and give a.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123 - 120. Suppose 10 - 25 = 4*a - 3*w, -a + 15 = l*w. Solve a = h - 3, -j + 3*h - 6*h = -13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -317 + 323. Suppose -2*d - 41 = -5*j, -3*j - d = -18 - 0. Suppose -x*s + j*s - 4 = 0. Solve s*b = -5*w - 2, 5*w = -6*b + b - 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000185098577 to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 11*b**2. Let n(g) = -g**2 - 13191*g - 1. Give n(v(a)).\nAnswer: -121*a**4 - 145101*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15418, -15369, -15274, -15109, -14850, -14473?\n\"Answer: 4*j**3 - j**2 + 24*j - 15445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3286, 3272, 3258, 3244, 3230?\n\"Answer: -14*s + 3300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 486 and 1134?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-2 - 6\/(-2)). Let m(k) = -11*k**2 + 5*k**s + k**3 + 13*k + 11 + 2 - 4*k. Is m(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4 = 16. Put 1, 0.4, d in ascending order.\nAnswer: d, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 859 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*n - 71 - 53 = 0, -269 = -4*c + 3*n. What is the highest common divisor of 95 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 30*k + 143. Calculate x(-6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 13. Let u be a(-9). Let b = u - -94. Solve x = -b*l - 5*l - 5, 4*l - 2*x = 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 15021030221?\nAnswer: 15021030220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 5 - 5. Suppose -p + 2*g + n = -0*p, 6 = 3*p - g. Let x be -25*(7\/(-5) + 1). Solve m + 4*j = -j + x, j + 7 = -p*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.022911 rounded to 1 decimal place?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12046 = 4*p + 3*q, 0*q - q = -2*p + 6008. What is the remainder when p is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = v + 177, 0 = 18*y - 16*y - 3*v - 63. What is the least common multiple of 6\/2*(y\/(-9) - -7) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126175794?\nAnswer: 2, 3, 131, 229, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 258*r + 259*r - 65, 4*m - 43*r = -275 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a**2 - 145*a - 46. What is g(21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 2*o - 3. Let x be g(-2). Suppose -x = -3*k + 40. Let u be (-32)\/(-8) + 10 + -10. Solve u*z + k = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5384402716 to the nearest integer?\nAnswer: 73378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 2\/471, -2\/7, 4?\nAnswer: 2\/471","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*s - 2416 = -15*s + 299 + 6581 for s.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 13*w - 8*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 + g**4 + 2*g**4 + (0*g**3 + g**3 + g**3)*(-3 + 3 + g) + 2*g**4 - g**3 + g**3 + g**2 + 5*g**4 - g**2.\nAnswer: 11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 1, 36, 38867.\nAnswer: 1, 36, 71, 38867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 682, 1420, 2188, 2986?\nAnswer: 3814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258838.\nAnswer: 2, 129419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141341512.\nAnswer: 2, 13, 1359053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1727106, 1727259, 1727514, 1727871?\n\"Answer: 51*q**2 + 1727055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 4*x + 18. Let g be l(0). Suppose 0 = -5*p - 3 + g. Let s = 1 - 0. What is the least common multiple of s and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-68)\/((-3)\/(-12)*-2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.1, 52, 2\/13, -6\/7, -2, 2 in ascending order.\nAnswer: -4.1, -2, -6\/7, 2\/13, 2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**3 - 12*p**2 + 5*p - 3. Let h(w) = w**3 - 2*w + 1. What is -a(m) - 3*h(m)?\nAnswer: -6*m**3 + 12*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13*(5\/(-3))\/(3640\/1680)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1 + sqrt(75))*-6*2)**2*-3.\nAnswer: -32834 - 4320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 + -3.98. Which is the nearest to 0.1? (a) 2\/5 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.521 + 4993.\nAnswer: 4993.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*y**5 - 13*y**5 + 31*y**5 + (2*y - 2*y**2 - 2*y)*(y**3 - 4*y**3 + y**3) + (5*y**5 - 3*y**5 - 3*y**5)*(0 - 2 + 0) + y**5 - 2 + 2.\nAnswer: 14*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -12) + 8 + -17\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6419, -12798, -19139, -25442, -31707, -37934, -44123?\n\"Answer: 19*k**2 - 6436*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 75 = 3*h, -4*w = 5*h - 44 - 52. Let j be (-12 - -17)\/(w\/(-15) - -2). Calculate the greatest common divisor of j and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 18, 3\/2, 186, -0.1, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**2 - c**2 + 0*c**2 - c**2 + 0*c**2 + 3*c**2 + (2*c + 9 - 9)*(-1 + 2*c + 1) + (-10*c + 10 - 2*c - 2)*(-2 + 2*c + 2) as b*c**2 + a + t*c and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1081\/3, 2, -2, -0.354, 1\/6?\nAnswer: -1081\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248986*r**2 - 124497*r**2 - 124524*r**2.\nAnswer: -35*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r + 312. Let c be (-1)\/(r\/36 - 3). Let q be 6\/c + 328\/3. What is the greatest common divisor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.94559422 rounded to one dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1780, 3602, 6638, 10888, 16352?\nAnswer: 23030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16550558 to the power of 1\/2, to the nearest integer?\nAnswer: 4068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1270979 and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 48 + 15*b + 20 - 63*b. What is the hundreds digit of x(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5*a\/(a\/(a\/(a\/(a\/(a**(1\/4)*a))))))\/((a\/(a*a**(-4)))\/a**8) assuming a is positive.\nAnswer: a**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119217285.\nAnswer: 3, 5, 11, 43, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3 - 1 + 3*o**3 - 6*o**2 - 2*o**3 + 14 - 5*o. What are the prime factors of j(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -3*c**4\/2 - 10*c**3\/3 + 22. Find the third derivative of f(z) wrt z.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/1348 and 59\/162434.\nAnswer: 324868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - 126*120\/384?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-56))\/((-1)\/2 + 1). What is the third biggest value in 0.1, -5, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -321*c**3 - 403*c**3 + 395*c**3 - c**3 + 3*c**3 - c**3 + (-1 + 1 - c**2)*(-3*c + 5*c + 0*c) + 11*c**3 - 17*c + 17*c.\nAnswer: -319*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 - -53. Solve -4*w + 0*w - i = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269, 270, 271?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-90)\/25 - 4\/10. Let p be 0\/3 - k\/(-466). Let b = 4889\/466 - p. Find the common denominator of b and 83\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0. Suppose 2*k - g = -1, -5*k + 17 = 3*g + 47. Which is the closest to d? (a) k (b) 5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 16*m - 350. List the prime factors of 2\/m*5*610.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20150101 (base 8) to base 4.\nAnswer: -100031001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52203, -53295, -55115, -57663, -60939, -64943?\nAnswer: -69675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 0 - 1\/12*b**4 - 1\/2*b**2 - 2*b + 1\/6*b**3. Let i(c) = 8*c**2 - 6*c + 4. Give i(u) + 5*z(u).\nAnswer: 3*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2094854643?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.1 - -1.1. Which is the closest to -1\/4? (a) 2\/7 (b) -0.07 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5456 and 51150.\nAnswer: 409200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8730, 17460, 26192, 34926, 43662, 52400, 61140?\nAnswer: 69882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972) - (-4*sqrt(972) - sqrt(972))) + sqrt(972) + sqrt(132)\/(sqrt(77)\/sqrt(7)))\/(sqrt(726) - 5*2*sqrt(726) - -1*sqrt(726)*5) + -5.\nAnswer: -5 - 16*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135 + -115. Suppose 3*d - 7 = -m, -4*m + o + 24 = -4*d. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k**2 + 3*k + 2. Let x be (0 - -3) + (1 - 16). Let u = x - -8. Let t be 66\/(-10) - 6\/15. Let i(r) = 11*r**2 - 5*r - 4. Determine t*v(n) + u*i(n).\nAnswer: -2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, z: 2, f: 7, s: 2, v: 5}. Give prob of sequence vs.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 14*a**2 - 2*a - 1. Let l = 1 - 0. Suppose 3*m = -5*g - 13, -4 = -m + 2*g - l. Let x be n(m). Solve -v = 3*z + x, 2*z + 1 = 5*v - 2*z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6216 + 350*c - 6216 - 2*c**2 - 808*c - c**2 in the form g + w*c**2 + s*c and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2816)*1 + (sqrt(5324) - 1*sqrt(5324)))*4)\/((2*sqrt(6336))\/sqrt(11)*4).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 - -84. Suppose -5*z + n*j = -650, -4*z + 3*z - j + 138 = 0. What are the prime factors of z?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 317 = -m + c, -4*c + 1585 = 5*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -827 + 1883. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4. Is 9 a factor of 1 + r*27\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 + -25. Suppose 0 = v - 38 + x. What is the remainder when (-1*298)\/(-1)*v\/(-4) is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h - 3. Let f(w) = -23*w - 17. Let z(d) = -6*f(d) + 34*s(d). Let m(l) = 4*l - 8. Let j(t) = 2. Let n(g) = -4*j(g) - m(g). Calculate z(n(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 511 divide 1674456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 561904082 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 6.7846?\nAnswer: -7.2846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -389786856.9 to the nearest one million.\nAnswer: -390000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/9 - 55478*r**2\/9.\nAnswer: -2*r**2*(r + 27739)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*g - 5*c + c, -g + 3*c + 12 = 0. Suppose g*z = -2*z + 4352. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + (-8 - (-6 + -7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*n - 119789 - 49609 = 0. List the prime factors of n.\nAnswer: 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q = -2*w - 113, -w + 15 + 6 = -120*q + 116*q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 86.366815 from 0.029.\nAnswer: -86.337815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 35 - (2 - 11)) + 12 - 6 - -72.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*x - 1 = 0, -3*x - 15 = -0*x. Suppose d = -g - 54. What is g rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of o**2*q*x + 3*o**2*q - 59*o**2*x**2 - o**2 - 2*o*x**2 - 11*q wrt x.\nAnswer: o**2*q - 118*o**2*x - 4*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102 - 259. Let z = 834 - k. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 2. Suppose -2*k = -4*m + 5 - 3, -k - m = -a. Let u = 2.4 + 0.6. What is the third biggest value in u, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*j + 13*j - 18. List the prime factors of 177*((-2)\/j + 11\/(-33)).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-595)\/10)\/7*1\/9.\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/63 and 22\/66519909.\nAnswer: 465639363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b + 4?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*y - 3 = 0, y = -n + 6*n - 99. Let a = 35 - 25. Calculate the remainder when n is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, j: 2, e: 2, t: 3, s: 1, x: 2}. Give prob of sequence jx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 7*c + 5. Let s(p) = 5*p + 2. Let y be s(-2). List the prime factors of w(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.57*2.\nAnswer: 7.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 3 + 3 - (51 - 47)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + (0 - -1) - 13) + -25.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400 - -12.\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -14*k - 1. Let y be i(-2). Let p(x) = -y - 2*x + 27. Let d(f) = 4*f. Give d(p(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 15834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, n: 9, j: 3, x: 2, a: 4}. Give prob of sequence xjx.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 73043*m**2 + 2 - 108*m**3 + 73043*m**2 - 1.\nAnswer: -108*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.657 + 13.457. Which is the fifth smallest value? (a) t (b) 0 (c) 0.11 (d) 1 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3415 or 3412?\nAnswer: 3412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0569 + -0.0569597. Round z to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 1 + -20 + -110 + 116 + 100.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1949, -7503, -16763, -29729, -46401, -66779?\nAnswer: -90863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-5 + (6 - 1) - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 6, -12, -1, 40 in ascending order.\nAnswer: -12, -1, 0, 2, 6, 40","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -2\/135*m**6 + 1\/189*m**7 + 0*m**5 + 1\/27*m**4 - 5*m + 0*m**2 + 0 - 1\/27*m**3. Let p(x) = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123627*k**3 + 123625*k**3 + 0 + 0.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1598*b**3*z - 2*b**3 + b**2*z**2 - 2*b**2 - 3*b*z**2 + 111*b - z**2 - 3*z wrt b?\nAnswer: -9588*b*z - 12*b + 2*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49893894 and 438?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -190*s + 1. Let w(l) = -9*l. Give w(p(v)).\nAnswer: 1710*v - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-2\/7)*v)**(-35))**(10\/11))**(-3) assuming v is positive.\nAnswer: v**(1800\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/28 and 13\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**3 - 39880*f**2 - 79788*f + 119664 = 0. What is f?\nAnswer: -3, 1, 9972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(637) + sqrt(637)*-2)*-1 - (sqrt(637) + 1 - sqrt(637))*-5)*3*-6)**2 - (-2 + (-1 + (sqrt(637) + -1)**2)*-6 + -1).\nAnswer: 22596*sqrt(13) + 218313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3290000 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6479806*-0.4.\nAnswer: -2591922.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g**2 - 7460*g + 285228 = 0. What is g?\nAnswer: 278\/7, 1026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from eehhhhe.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w**2 + 8*w**2 - 3*w**2 + 6*w**2 + 6*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6ac75 (base 13) to base 6.\nAnswer: -4104524","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (55\/(-10))\/((-1)\/(-10)). Let y = 99 + m. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 8 = -3*j. Let k(a) = -a**3 + 3*a**2 + 3*a + 3. Let q be k(3). Let l be (2\/(-6))\/(j\/q). Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + z + 0)*(-7 - 15 + 12).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.9606 + -0.0394. Let c = 7.2893 - -0.7129. Let z = j + c. What is z rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y. Let l(u) = -283*u**2 + 24*u. Determine k(l(c)).\nAnswer: 283*c**2 - 24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 31?\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(-85)\/280160*-128?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -8*o**5 - 23*o**4 - 12*o**3 - 2*o**2 + 5*o. Let f(w) = 8*w**5 + 24*w**4 + 12*w**3 + 2*w**2 - 6*w. Let b(p) = -6*d(p) - 5*f(p). Solve b(t) = 0 for t.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -3*c + 5*s, -2*s - s - 31 = 2*c. Let w be ((-12)\/16 + 1)*c. Which is bigger: w or -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1358.564155 rounded to 1 decimal place?\nAnswer: -1358.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 340933 - 674?\nAnswer: 34027b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 16 - a**3 + 79*a**3)*(-3 + 4 + 1)*(-3*a + 2*a + 2*a).\nAnswer: 156*a**4 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -2*k**3\/3 + 33*k**2\/2 - 87*k - 3137. Calculate d(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 47*s - 2352. Solve 14*u + 7 = -s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -519392, -1039622, -1559854, -2080088?\n\"Answer: -i**2 - 520227*i + 836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -64)*4\/4. Let g = u + 130. What is the remainder when g is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 44\/97, 0.3 in increasing order.\nAnswer: 0.3, 44\/97, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*r + 4, -5*r + 3*y + 5 = -5. What is the remainder when 62 - (-1 - (-8)\/r) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 33891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22103993 + -33834.2?\nAnswer: -22137827.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149913964?\nAnswer: 2, 37478491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4905 times -2.3\nAnswer: 11281.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + c - 2. Suppose 5*a - 5*h = 10, -2*a + 1 + 5 = -3*h. Let w be n(a). Let o(u) = u**3 + 4*u**2 + 2*u + 1. What are the prime factors of o(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 10*s - 28. Calculate the remainder when 83 is divided by p(14).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (14 - (10 - 4 - -29))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -89694 divided by -9966\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/56 and -87\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (-102)\/(-18))*-1563 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 1432346?\nAnswer: 2, 716173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 111000 + -11?\nAnswer: 110656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11314 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: What is (-1)\/15*45915\/24488?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (sqrt(76))**2).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)\/h)**37\/((h*h*h*h\/(h**(-1\/4)\/h*h))\/(h*h**20)) assuming h is positive.\nAnswer: h**(-1117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-48 + 0)) + (90 + -94 - -21).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9) - (-10)\/15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 0*t + 1\/2*t**3 + 2*t**2 + 1\/12*t**4 + 0. Find the first derivative of g(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/2 + k**4 - k**2 - k\/2.\nAnswer: k*(k - 1)*(k + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 28*f - 56. Let v be o(2). Suppose 5*k - 301 - 129 = v. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 10*j**2 - 349*j + 3970. Give v(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 65093 and 3.15.\nAnswer: 205042.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1224 is divided by 59?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 3*u + u**3 - u**4 + 5*u**4 to the form n*u**3 + c*u**4 + h*u**2 + g*u + k and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -3061, -8146, -15267, -24424, -35617, -48846?\n\"Answer: -1018*s**2 + 5*s + 1001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 7*w**2 + 5*w. Let x(j) = -4*j - 32. Let f be x(-8). Let a(y) = y**2 + 5*y + 6. Let q be a(f). Calculate r(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22911 and -0.3.\nAnswer: -22911.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 - 398490*w**2\/7 + 796938*w - 2789234.\nAnswer: 2*(w - 199231)*(w - 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 22. Factor 53 - 3*c**4 + 3*c**2 + z*c**2 + 6*c - 53 - 6*c**3.\nAnswer: -3*c*(c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2924)\/2040 + (-8)\/(-6).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/384 and -101\/22208?\nAnswer: 133248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2595 divided by -89?\nAnswer: 2595\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/((-3480)\/16) - (-4)\/58. Solve 10*n - 60 = -m*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-3)*(-12)\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -25. Sort -0.13, 1, b in increasing order.\nAnswer: b, -0.13, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18371 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/59277 and 4\/3627.\nAnswer: 71665893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*((v**3*v)\/v*v)\/v)\/v)\/v*v**(2\/9))\/(v**4*v\/v**5)*(v*v**(-3)*v**(-4))**(-3\/16) assuming v is positive.\nAnswer: v**(241\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 351*z - 310. Let t(r) be the second derivative of 529*r**3\/3 - 466*r**2 - 143*r. Let d(c) = 7*k(c) - 2*t(c). Differentiate d(l) wrt l.\nAnswer: 341","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/10 and 113\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -65 - 50?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24214*z**2 - 142*z**3 + 492*z**3 + 24177*z**2 - 48391*z**2.\nAnswer: 350*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -1671, -5670, -13463, -26316, -45495, -72266?\nAnswer: -107895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 694 a factor of 35177472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 979, 949, 885, 775, 607, 369?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/((-78)\/13))\/((-1)\/(-1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -653840 divided by 1\nAnswer: -653840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(68) + -5 + -3))**2.\nAnswer: -36*sqrt(17) + 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39591317545 + 5.111?\nAnswer: -39591317539.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(28\/24).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/16? (a) -3 (b) 2\/7 (c) -0.07 (d) -2 (e) 17750\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*y + 15 + 249. Suppose 0 = -3*j + y - 19, 5*m + 2*j = 327. What are the prime factors of m?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = 2 - 29. Calculate the remainder when p is divided by 26\/8 + 1\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23964.\nAnswer: 2, 3, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c8 + 5?\nAnswer: -c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 32 = 2*u, -2*q - 2 = -5*u + 6*u. Put -1, u, -3 in descending order.\nAnswer: -1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 9245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 5\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 0.5, 1\/6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**6\/40 - i**5\/30 + i**3\/6 + 25*i**2. Suppose -5*s - 4*n + 17 = 0, 3*n - 2*n - 3 = 0. Give j(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 1. Let y(j) = -j**2 + j + 3. Let r(u) = 2*h(u) - 2*y(u). Suppose -63 = x - 66. Let i be r(x). Solve k = i - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*i + 45*i + 7 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7822 is divided by 364.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2.5 (c) -2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 24 = -5*d. Let i(s) = -6*s + 5*s - 6*s**2 - 2*s**3 - d + 4*s**2 + 3*s**3. Determine i(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 7:45 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/(-2 + (-54)\/(-30)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k*s**4 + 2*k*s**3 + 7*k*s + 41*s**4 wrt s.\nAnswer: -12*k*s**2 + 12*k*s + 492*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u + 8, 5*u = -2*x + 44. What is the least common multiple of ((-6)\/x)\/((-1)\/22) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 378, 371, 364?\n\"Answer: -7*z + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 - 44. Suppose o + 3*o = -m. Is (6\/o)\/((-4)\/546) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 + (-6)\/15 - 2. Are -2 and u unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/48 and 7\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, d: 2, u: 4, q: 2, r: 1}. Give prob of sequence uq.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6747139 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -4.95. Let l = -3.95 - b. Let j = 3.42 - -0.58. Sort -1, j, l, -2\/5 in descending order.\nAnswer: j, -2\/5, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -35. What is the tens digit of 2\/7 + (-178)\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/8*(0 + 4). Suppose 0 = -x - l*x + 87. Suppose 3*q + 110 = 719. What is the greatest common factor of q and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.2. Let a = h + -0.8. Let p = -2.616 - 0.384. What is the second smallest value in a, 1, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -18*x - 306. Let z(f) = 4*f + 197. Calculate the remainder when z(x) is divided by 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -10*b**2. Let a(v) = -13*v**2. Determine a(r(j)).\nAnswer: -1300*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2*d + 3, 3*d + 13 - 7 = -2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + -0.3. Let v be 3\/9 + 1\/(-3). Let t be 10\/(-12)*(-28)\/(-105). What is the closest to v in -1\/5, k, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*z**5 + 11*z**4 - 45*z**2 - 3 wrt z?\nAnswer: 720*z**2 + 264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1083, 2855, 4623, 6387, 8147, 9903?\n\"Answer: -2*q**2 + 1778*q - 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1169751 and -217310.\nAnswer: -1387061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3771.\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n. Suppose -2*l = -1 - 43. Suppose 0 = 5*h + w + 3*w + l, -h = 5*w + 17. What is the units digit of o(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 5*m - 117, 241*g = 219*g + 5*m - 137 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74881 - -75342.19. Let o = z + -459. Let q = -0.19 + o. Which is the smallest value? (a) q (b) 2\/7 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2. Let i(j) = -15*j - 7. Let m(c) = -c. Let q(h) = 2*i(h) - 10*m(h). Let s(b) = -7*b - 5. Let o(p) = 5*q(p) - 14*s(p). Calculate w(o(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2215067 is divided by 54.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2418 and 3666?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*v - 3. Let i(p) = v*p + 2*p**2 - p - p. Let y(k) = 11*k**2. What is i(y(t))?\nAnswer: 242*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/87)*m**(-4\/3)\/m*m assuming m is positive.\nAnswer: m**(-118\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 45 = 2*k, 0 = -k + 3*a + 3 + 27. Let h(p) = -p + 16. Let u be h(-14). What is the highest common divisor of u and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000814761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19665238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -2 (c) 2\/15 (d) -1\/4 (e) 38\/713\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 126188360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15872, -15913, -15938, -15941, -15916, -15857, -15758, -15613?\n\"Answer: a**3 + 2*a**2 - 54*a - 15821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 387*a - 383*a, 4*g = -20*a - 56 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 20 = x, -x + 8 = -5*x - 2*z. Let a = -276.9 + 277. What is the closest to -0.03 in 2, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -187*f + 188*f - 15, 3*d - f - 69 = 0. Calculate the smallest common multiple of d and 2457.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/35)\/p**(-6) assuming p is positive.\nAnswer: p**(208\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 0*a + 5 - 3*a + a)*(6*a**2 + 2*a**2 - 4*a**2).\nAnswer: -4*a**5 - 8*a**3 + 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 19605627?\nAnswer: -19605628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131\/351 or 16\/13?\nAnswer: 131\/351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 436 and 105076.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 9) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + -27. Suppose 405 = 2*l + j. Calculate the remainder when l is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -661, -2, 1, 30, 3, 4 in descending order.\nAnswer: 30, 4, 3, 2, 1, -2, -661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 n, and 2 q when four letters picked without replacement from ngnqqnwqqgf?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 0.4 (c) 465 (d) -0.18 (e) -0.53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3 + 3*w - 3*w + w**2 - 7*w + 3. Let o be l(7). Let v(m) = m + 8. What is the units digit of v(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-22 + 4)) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -472 - -478. Calculate the highest common factor of 330 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 = -2*t. Suppose 4*b = 2*y + 20, -4*b = -t*y - 13 - 11. Let o = y + 27. Solve -5*j = o, -3*i = -8*j + 4*j - 26 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -2. Let u be 1\/f*24\/4. Let v(c) = c + 1. Let a be v(0). Sort u, a, 0 in ascending order.\nAnswer: 0, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*p + 8. Suppose p*l - 16 = 3*l. What is the greatest common factor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -629.6939 rounded to one decimal place?\nAnswer: -629.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -3\/2*h**2 + 8*h + 0 - 1\/6*h**3. What is the remainder when v(-6) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1022680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 26 = p, 4*p + 0*p = 3*q + 69. Is p at least as big as 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, r: 6, o: 6, k: 4}. What is prob of picking 1 o, 1 k, and 1 r?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 197.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38835.\nAnswer: 3, 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3733596 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 10:15 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 4*v**2 - 6*v + 51. Let h be l(5). Let p(q) = q**3 + 4*q**2 + 5*q - 3. Determine p(h).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(3*sqrt(5)) + -4.\nAnswer: -4 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 7. Let j be h(-3). Suppose -3*p - 135 = -r, -j*r - 80 = 2*p - 8*r. Let w = p + 48. Solve 5*k = -3*n, -w*n = 5*k + 2*n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41690 and 700392.\nAnswer: 3501960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*w - 25*w - 188*w - 214*w - 83*w.\nAnswer: -692*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven eighths of a microsecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*c, -6*c + 102 = q - c. Let r = q + -8. Let o = 120 - r. List the prime factors of o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 2\/7 (c) 1 (d) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/7211720 and -7\/248?\nAnswer: 223563320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 3159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8220 divided by -2\nAnswer: 4110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.032, -16949, -4, 0.9?\nAnswer: -16949","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1 + 24\/1. Let i = 18 - m. Let o be 1\/2 - i\/(-2). Sort o, -1, 0.\nAnswer: o, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30*70\/1110 - ((-572)\/26 + 24)\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 + -17. Let g be -3*2\/(-30) - (-472)\/t. Let a be ((-10)\/g)\/(-4*(-8)\/(-192)). Solve -3*r = 2*r - a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -840*v + 835. Let m be r(1). Which is the fifth biggest value? (a) m (b) 0.2 (c) -234 (d) 0.14 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -71147324, -71147329, -71147334, -71147339, -71147344?\n\"Answer: -5*u - 71147319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -131*p + 414. Let o be y(2). What is the highest common factor of 10450 and o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 0*b + b**3 + 0 + 1\/2*b**2 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqq. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 1516811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = p - 0*p - 2*r, -4*p + 3*r + 48 = 0. Suppose -p*i + 10*i = -15. What is the third smallest value in 2\/9, i, -17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, 27\/43, -15, -0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 - -49. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h**3 - 431*h**2 - 78*h = 0 for h.\nAnswer: -39, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqqq when four letters picked without replacement from qigqqqigiiqqqq?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/((j**(-16)*j)\/j)*(j*j**3)\/j*j*(j**(-2\/17))**5 assuming j is positive.\nAnswer: j**(364\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -21*l**2 + 4*l + 7. Give a(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -1, 3\/2, -0.4, 5 in decreasing order.\nAnswer: 5, 3\/2, -0.4, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 5, -7, 1\/8, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - z - z - 9*z + 5*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -5*s + 33. Let n = s - -83. Suppose -5*x = -0*x - n. Calculate the highest common divisor of 40 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*k**2 + 133*k**4 - 14*k**2 - 21*k**4 - 3 + 2*k**3 + 4 - 6*k**3 in the form s + j*k**4 + i*k**2 + u*k**3 + b*k and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1. Let a(u) = 2*u - 18. Let f(k) = 2*a(k) - 36*w(k). Let g(b) = -2*b. Calculate f(g(j)).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61962406 + 0?\nAnswer: -61962406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 7:04 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 29*g - 96. Calculate the remainder when k(34) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -467 + 470. Let c(u) be the third derivative of -1\/18*u**g + 0*u - 1\/180*u**5 + 17*u**2 - 1\/36*u**4 + 0. Factor c(v).\nAnswer: -(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39 - 18 - 150)*(-t - 2*t + t)*(6*t + 8*t + 0*t) to m + p*t + a*t**2 and give a.\nAnswer: 3612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 11450, 1, 4 in decreasing order.\nAnswer: 11450, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 11*p**2 - p + 8. What is i(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.986418, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -24*f**2 - 21*f**2 + 80*f**2 - 21*f**2 - 22*f**2. Let a(v) = -55*v. Determine a(x(t)).\nAnswer: 440*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2672 + -2671.9. Let t = -0.8 - -0.96. Which is the nearest to t? (a) 0 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 2670789.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 52)*1\/14*4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 3:52 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(288) - ((sqrt(288) - (sqrt(288) - (-2 + sqrt(288)))) + -4))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 24*j**2 - 65*j + 46. Let n be z(21). Solve -n*k + g = -17, -6*k + 15 = -3*k - 3*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*r**2 - 117*r**2 + 2*r**2 + 2*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 8*a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + 4 - 187\/6. Let t = 299\/6 + b. What is the common denominator of t and -46\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 + -100001114341?\nAnswer: -100001114430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p - 8*p - 16*p - 44.\nAnswer: -14*p - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.1, 0.3, 4, 77, -4 in increasing order.\nAnswer: -4, 0.3, 3.1, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66098\/51 - -3895\/3. Suppose -u - 57 + 399 = -5*x, -4*x - 1059 = -3*u. Find the common denominator of q and (u\/(-98))\/((-3)\/(-4)).\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 99*r**2 - 33*r + 25. Is j(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suo when three letters picked without replacement from {j: 1, y: 3, u: 2, r: 3, o: 1, s: 7}?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 12530553 + 12530553.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9))**(-17)\/(c\/(c\/c**(-1))*c)**(-32) assuming c is positive.\nAnswer: c**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -9*m - 242. Let w be m*(-2 + 4\/(-4)). Calculate the greatest common divisor of w and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -183+3008306\nAnswer: 3008123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from geggedieppgm. Give prob of picking 3 g and 1 d.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**4 - 29052*j**3 + 3*j**2 + 21704736*j?\nAnswer: 48*j**2 - 174312*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 427 + -427.039. What is the second biggest value in -0.3, 2\/11, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*n**3 - 79*n**3 - 2*n - 2*n**2 + 4 - n**2 to the form s*n**3 + v*n**2 + w + g*n and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (420\/90)\/(3\/3*3\/(-9))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149*f**6 - 126*f**2?\nAnswer: 17880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + 3*68\/(-24))*-18*2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53.23 or -889?\nAnswer: -889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 22 = -11*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ac09 - -1f8?\nAnswer: -aa11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from {w: 1, e: 1, h: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -245?\nAnswer: 245.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97102, 194201, 291300, 388399?\nAnswer: 485498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l - 13. Give w(9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(704) + sqrt(704) + 1) + (sqrt(704) - (sqrt(704) + 2)**2*4) + 1*sqrt(704) + -4 + sqrt(704) + (-2 + -1 + sqrt(704))**2 + 0.\nAnswer: -2122 - 136*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176\/44*(-1)\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 14 + 276*q**2 - 5*q - 93*q**2 - 91*q**2 - 93*q**2. Let x be z(-7). Solve 16*s - 11*s = x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19671*r = -19682*r - 44 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w - 20. Let u be j(8). Solve 2*p - u*c = -c + 6, 3*c + 6 = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*j = -9. Let c = j - -5. Suppose -15 = 5*q, -c*q - 24 = -3*p + 2*q. What is the smallest common multiple of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xowtmmjx. What is prob of sequence xjtw?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 7) in base 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) -553 (c) 17 (d) -1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -4, 5, -0.1, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 16 = -4*x, 11*i - 9*i + 3*x = 5. Solve 3*p + 2*q + 3 = 2*p, -5*p - 15 = i*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1153.7*-0.3\nAnswer: -346.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*n**2 - 88*n**2 - 3*n**2)*(-n**2 + 46*n - 57*n + 4*n**2) as m + k*n**2 + v*n + a*n**3 + c*n**4 and give a.\nAnswer: 1265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/5 - (-8)\/5. Suppose -3*g = -l*g - 3*u - 16, -5*g + 3*u + 104 = 0. What is the highest common divisor of 22 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 6*b**2 + b + 6. Let k be s(-6). Suppose -3*a + 6 = -k*a. Determine f, given that a*f**2 + 0*f**4 - 2*f**4 + 0*f**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29.33 + -0.33. Let t = d + -29.31. Let f = -0.01 - t. Which is the closest to -1? (a) -1\/2 (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(1 - 1 - 2*i**4 + (5*i + 8*i**2 - 5*i)*(-3*i**2 + i**2 + 3*i**2)).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31461008 and 29.\nAnswer: -912369232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rit when three letters picked without replacement from {k: 4, r: 6, i: 3, t: 4}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(2\/(-4))\/(9\/(-6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1602136.236 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 555 (base 8) to base 9.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -160*w + 33412 + 460988. Calculate the remainder when w is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 263412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.36 + 13. Let u = j + -0.57. Which is greater: 0.3 or u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 11 = 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**9\/2520 + i**8\/2240 + i**4\/3 + 4*i. Let b(v) be the third derivative of y(v). Let b(x) = 0. Calculate x.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21951 and 6696?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 970 times 97839\nAnswer: 94903830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 175\/2*f**2 - 6125\/2*f - 5\/6*f**3 - 49. Suppose g(n) = 0. Calculate n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26 - (0 + -2 - -1). Let i(s) = -s**2 + 10*s + 2. Let c be i(10). Suppose -g + b = c*g. What is the highest common factor of 81 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1590 and ((53795\/(-28))\/29)\/(10\/(-336))?\nAnswer: 11130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 5066732?\nAnswer: 5066731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/67326245 and -87\/198310.\nAnswer: 134652490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -546 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4524 + 4516.327. Let n = 48 - 47.973. Let s = r - n. What is s rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20302023 + -32232?\nAnswer: 20203131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 523417941?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**4*c*q - 484*a**3*c*q - 2*a*c*q - 6*c*q - 10*c wrt a.\nAnswer: 24*a**2*c*q - 2904*a*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/20 and ((-37)\/(-15))\/(44\/10 - 0).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 47.416?\nAnswer: 43.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3949169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*(11864\/(-24) - -5). Let u = 9527 + w. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -34, -5\/7, 1\/3?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 32.75511 millennia?\nAnswer: 393061.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2876.6 - 2877. Sort -0.1, 23, -0.5, p, 0.1 in descending order.\nAnswer: 23, 0.1, -0.1, p, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-22))\/(y\/y**(-18)) assuming y is positive.\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-156)\/(-9))\/(1\/3). Suppose 2*g = 2*d + 54, -2*g + 40 = 5*d - 7. Suppose 2*f - n = g. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4248 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*n - 3 + 2*n**2 + 15*n + n - n to the form f + w*n + c*n**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikqx when four letters picked without replacement from {k: 3, z: 1, i: 3, x: 6, c: 3, q: 1}?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s**3 - 9307 - 968 - s**3 + 10275.\nAnswer: -17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 4 + 1)*(3*i - 4*i - i)*(0 + 0 + 3) in the form r + o*i and give o.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 - 0.76. Let x = -1.74 - w. Round x to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3 + 3*l + 3 + 6*l**3 - l + 2*l**2 + 1. Let o be x(-1). Let c = 40 - o. Calculate the highest common divisor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 5*b + 1, -b + 14 = 5*i + 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*o + 10775 = m, 0 = -5*m - 5*o + 53935. List the prime factors of m.\nAnswer: 41, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 70*j + 353. Let u be i(-5). Solve -u*s + 3*q - 17 = 1, -q - 6 = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436108901 a multiple of 5370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -118*f + 95*f + 345. Solve 54*z - f = 51*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103*j**2*z**4 - j**2*z**3 - j**2 - 59 with respect to z.\nAnswer: 412*j**2*z**3 - 3*j**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*204\/(-238)*(-14)\/8. Let i = 4 + 0. Suppose -34 + i = -5*c. Solve -c = -a*d + 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/80*5\/16*2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**5 + p**5 + 5*p**5 + (-3*p**2 + 0*p**2 + p**2)*(-p**3 - 3*p**3 - p**3) + 5*p**5 - 18*p**5 - 22*p**5.\nAnswer: -22*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.45 (c) -2 (d) -1\/2 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3379597531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138459, 138445, 138431, 138417?\nAnswer: 138403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/105 and 89\/130.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*j - 1, -8*j + 4*j - t + 11 = 0. Let h be (-2)\/8 + 10\/8. Suppose 4*l + 11 = 5*s - 29, 20 = -4*l. Solve 5*i - s*k = 40, -4*k = j*i + 11 + h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1007717 (base 8) to base 9\nAnswer: 445127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 12 + 19*p + 5 + 8.\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 1163, 2635, 4699?\nAnswer: 7355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-120129)\/92)\/((-3)\/(-2))*-10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223, 1015, 2373, 4309, 6835, 9963?\nAnswer: 13705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*b + 34 + 43 - 11*b wrt b.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*s**2*v**4 + 6*s**2*v**2 - 2*s**2 - 6*s*v**3 + 3*s*v**2 + 16529*v**4 - 698230*v wrt v.\nAnswer: -1584*s**2*v - 36*s + 396696*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1190 divided by -3.\nAnswer: 1190\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - l - 3*l + (1 - 6 + 4)*(l - l + 3*l) + l - 2*l + 3*l)*(-2*l + 3*l + l)*(-3 + 5 - 3 + (2 - 6 + 2)*(-2 - 2 + 6)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*l**2 - 72*l**2 + 86*l**2.\nAnswer: -66*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 652 = 4*d, 4*h + 1 - 9 = 0. Differentiate 28 - d*y**2 + 83*y**2 + 82*y**2 - 57*y**4 with respect to y.\nAnswer: -228*y**3 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21031113331 (base 4) to base 11\nAnswer: 13a9806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-3*sqrt(187))\/sqrt(11) - sqrt(17)) + -4.\nAnswer: -4 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21092371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16957 less than or equal to 16957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 175 - 40. What is the remainder when f is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*x = -16, -5*a - 2 = 5*x - 47. Suppose n + n + 20 = 2*w, -a*n = -w + 1. Let v = -3 + 8. Solve v*h = 3 - w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**6\/15 + q**5\/5 + 7*q**4\/6 + 4*q**3\/3 - 128*q. Factor v(i).\nAnswer: -2*i*(i - 4)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/132)\/(6\/(-54)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25204 is divided by 200.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -146 and -0.60298.\nAnswer: 88.03508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -85164 from -46.\nAnswer: 85118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*d = 294, 5*d - 108 = 3*o - 524. What are the prime factors of o?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21161.5382 + -0.1311.\nAnswer: -21161.6693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - 68.9. Let w = -5 - v. Let p = w + -0.9. Which is greater: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.8?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1085336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5880994*r**3 + 8*r**2 + 437852806 wrt r?\nAnswer: 17642982*r**2 + 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204)*2 - sqrt(204)) + sqrt(204))\/sqrt(12) + sqrt(17) + sqrt(17)*1 + -5)*-6.\nAnswer: -24*sqrt(17) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.184533 rounded to 1 dp?\nAnswer: 110.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8934 (base 11) to base 13.\nAnswer: -5489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -112300223 (base 4) to base 2\nAnswer: -10110110000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 409*t**2 - 69*t + 13. Is v(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2214.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -1.3, -2, -4\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (341 - 233) + (-16 - -1) + 15 + (-1 - 10).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28758 + 15040?\nAnswer: 41798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 4) + (-1 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11\/12, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 14. Let u be z(-10). Suppose 0 = u*m - 2*m - 14. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -62324605?\nAnswer: -62324603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/6557560 and 19\/3278780.\nAnswer: 6557560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2045 = 2048 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 8612*j**2 - 5*j - 3. Let y(t) = -4324*t**2 + 3*t + 2. What is 3*s(o) + 5*y(o)?\nAnswer: 4216*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45.31 - 0.69. Let j = -44 - m. What is the closest to 1 in j, 4\/3, -0.6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 10*a**2 + 10*a + 5. Let o be y(-9). Let z be -3 + 6 - (o + 3). Sort 6, -3, z in descending order.\nAnswer: 6, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 1 + -1 + -5. Let g = 13 + q. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181641.33us in hours?\nAnswer: 0.000050455925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 5. Let b(o) = o - 4. Determine 6*b(s) + 5*d(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5406 divided by 3?\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 427 + -423. Solve 4*i = -5*d + 30, -r*i + 3*d - 2 = -16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3 - 2 - 2 - 1 - 7*s**2. Let w(n) = n**3 + n**2 - 1. Determine b(c) - 2*w(c).\nAnswer: -2*c**3 - 9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002232130121 - 0?\nAnswer: 1002232130121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2625337?\nAnswer: 11, 13, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 73, -59, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from hohhhohhtthh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 0*o - 3*o + 6*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 326 + 32*d + 326 - 29*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -166*h. Let g be u(-3). Suppose -g = -5*j - 113. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*t = -4, 3*h - 2*t + 7 = -0. Which is the closest to h? (a) -0.1 (b) -0.13 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8299 and -59.\nAnswer: -48.9641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-56)\/(-70)*((-36)\/16)\/9. Put 4, y, 3\/4, -6.8 in ascending order.\nAnswer: -6.8, y, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*u**3 - 100*u**2 + 100*u**2)*(2*u**2 + 4*u**2 - 4*u**2) - 4*u**5 + 182*u**2 - 182*u**2.\nAnswer: -112*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 1:39 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011110 - 101110101?\nAnswer: 110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(8\/4) + 2. Suppose 5 = 4*b + d*a, b + 5*a = 7 - 2. Suppose -v + 2 + 2 = b. Let i(x) = x**2 - 5*x + 1. Determine i(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*d**5 + 1682991*d**4 - 4536*d**2 + 5*d + 1505 wrt d?\nAnswer: -1680*d**2 + 40391784*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/9, -792\/85 in decreasing order.\nAnswer: 0.3, -1\/9, -792\/85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-69)\/(6*(-8)\/128) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90493\/18 + 5032. Let s = -1188815\/2087928 + -2\/28999. Find the common denominator of r and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**4\/6 + 2*g**3\/3 - 5*g**2\/2 - 102*g. Calculate y(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153) + (sqrt(153) - 2*(sqrt(153) - sqrt(153)*5 - sqrt(153))) - sqrt(153) - sqrt(153))\/sqrt(9).\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 20 = q - 5*q, -77 = -5*o - 3*q. Suppose 0 = -4*c + g + 22, -c = -4*c + g + o. What is the remainder when 23 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -39*z**3 + z + 1. Let d be m(-1). Let a be 23 - (-1 - (0 + 1)). Let q = d - a. What is the least common multiple of q and 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 230 and 6?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3409, -6845, -10283, -13723?\n\"Answer: -g**2 - 3433*g + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29716 and 65113?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -243*h - 175. What are the prime factors of k(-7)?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 80404 in descending order.\nAnswer: 80404, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 68*w - 32*w + 132 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/3)\/(-1*1). Let m = 2 - r. What is the tens digit of (-6 - m)\/3 - -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29855412627034283.0000071 - -29855414033061744. Let g = 1406027562 - o. Let x = g + -101. Round x to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a litre in millilitres?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + 15 = 0. Factor 2*q**2 + 6*q - 4*q**2 + 5*q**2 + l.\nAnswer: 3*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-2) + (2 - 1). Let t = 9962 - 9927. Find the first derivative of -17*l**3 - 9 + 1 - 9 + t*l**n wrt l.\nAnswer: 54*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.7, 0.023, -13, 45?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36.7327 - -0.0327. Let j = -608.6 - -545. Let o = j - i. Round o to 0 dps.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1033287\/(-114) + 6\/(-2). Let v = 9068 + j. What is the common denominator of -101\/4 and v?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 - 3*r - 5. Let k be (0 - 5) + 1 + -1. Let d be q(k). Let i = d + 63. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*8\/(-30)*5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.752564 rounded to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((4 - (-64)\/(-12)) + 2)*3. Suppose -39*i - 5352 = -44*i - d*v, -v - 4279 = -4*i. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4, -w + y = 4 + 5. Let j = w - -274. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 5. Let d be l(-5). Let o be 5\/(d\/(-8)) - -7. Suppose 67 = o*k - 93. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 5*z + 4. Let o(l) = -l - 2. Let n be o(4). Let t = -3 - n. Calculate g(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1206 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + l + l)*(16*l + 261*l + 156*l) to the form g*l + f + y*l**2 and give y.\nAnswer: 866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -56383 >= -56355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58108 and 199.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 87 - 27. Let n = -1522 + 3107\/2. What is the common denominator of -4 - -7 - (-111)\/t and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 942436 * 0.52\nAnswer: 490066.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.3 (b) -2\/43 (c) -7 (d) -1\/3 (e) -23\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11049*i - 11050*i + 31969. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 75521.303 - -99363.61. Let i = r - 175035. Let b = i + 150. Round b to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10221 - 12?\nAnswer: 10205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -815*s**3 - 5975*s**3 + s - s.\nAnswer: -6790*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-2)\/18 + (-8)\/72*63\/(-21))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0295 and -59.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 0*n - 24206. Suppose 5*o - n = -11993. What are the prime factors of 4\/(-14) + o\/(-21) + 5?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 4*o, 7*l + 5*o - 18 = 11*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = k - 8, -4*k + 6*g - 5*g + 19 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x**2 + 28*x + 349. Let a(j) = 23*j**2 + 85*j + 1010. Let f(d) = 6*a(d) - 17*z(d). Calculate f(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 40. Let u(c) = -3*c - 20. Suppose 8*r + 40 + 8 = 0. Let f be u(r). Sort -1, f, o in increasing order.\nAnswer: o, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 37 + 47. Let h = 17 + q. Factor 1\/4*y**4 + 0*y + 0*y**2 + 0 - 1\/4*y**h.\nAnswer: y**3*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*b + 606 = -460, -p = -4*b - 256. Suppose 10*o + p = 13*o. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15718139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.45005 + 0.45005. Let b = 17 - 11. Let u = 1 + -6. What is the nearest to y in b, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3\/4 - 32868*c**2 + 98251785*c\/4 - 9101409723\/2 = 0. Calculate c.\nAnswer: -44562, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -415570.33695.\nAnswer: -415573.33695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 160 + 60 = 5*g, -11*g = 3*r - 8*g - 54 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177031569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, i: 10, x: 3, r: 1}. Give prob of sequence wxwi.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7557803?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-7))\/(10\/(4410\/(-21)))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4 - ((-32 - (-26 + 16)) + 17)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36189 + -24560. Let v = -6848 + k. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 5*f + 8, 3*b - 3*f + 2 = 4*b. Suppose 8 - 4 = 3*d + b*q, 0 = -d + q - 2. Solve 4*t + d = -12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92 + 99. Suppose b*m = 18*m. Is -6\/7 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -2)*(-124 + 120)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = x + 6. Let k be (-476)\/(-12) + 0 - x\/6. Suppose i = 3*h - 168, k = h - 0*h + 5*i. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1591.2471 months to centuries.\nAnswer: 1.32603925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2824.6 - -2825. Let n be ((-3)\/36)\/((-2)\/4). What is the third smallest value in 5, -1\/3, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -345 - -25?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18417 + 18416.99988527. Round i to six decimal places.\nAnswer: -0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 + -10)*7\/(-2). Solve -5*l - 3*g = 4 + r, -6 = -2*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-70)*(-30)\/(-9).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -16*j**2 - 1029*j + 4792. Let p(q) = -3*q**2 - 201*q + 958. Let u(k) = -11*p(k) + 2*y(k). Suppose u(h) = 0. What is h?\nAnswer: -159, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-12))\/((-2)\/12). What is the second biggest value in -0.5, -3, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a factor of 15968380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 738197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + -2. Let w be (3 + -4)*y\/(-2). Let v(z) = 3*z. Let r(u) = 4*u. Let a(s) = w*v(s) + 2*r(s). Let m(d) = -8*d**2. Give a(m(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence memd when four letters picked without replacement from ddmmmedmene?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**6\/16 - 21*s**5\/40 - 21*s**4\/32 + 15*s**3\/8 + 148. Determine k, given that o(k) = 0.\nAnswer: -5, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*(-6)\/(-6)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.357 (b) 0.4 (c) -3\/8 (d) -1 (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*h - 33*h + 4*h**4 - 48 + 1 + 66*h - 7*h**4 to the form w + r*h**2 + d*h**4 + z*h + j*h**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1140225 times 2.96\nAnswer: 3375066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -12*h**2 + 143*h + 355. What is s(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = 8. Suppose l*o - 2*o = 3, 8 = -5*s - 2*o. Let r be (8 - (-2)\/s) + -4. Solve -d = -r + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1239279115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**4 - p**4 + 3*p**4 + (-2*p + 3*p**3 + 0*p + 0*p**3)*(-1 - 2*p + 1) in the form n*p**3 + a*p**4 + d*p + c*p**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {j: 5, x: 3, b: 1, s: 6, y: 5}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -19. Is n < 3\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10137 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 6*h**2 + 10*h + 1. Let q be a(-7). List the prime factors of ((-16)\/q)\/((-1)\/(-25)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61849 and 22889?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 169, -24, 132 in descending order.\nAnswer: 169, 132, 5, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30196.\nAnswer: 2, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**8\/6720 + u**7\/840 + 11*u**5\/120 + u**4\/12 + 9*u. Let b(h) be the third derivative of o(h). Is b(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 537.189 + -238.548. Let d = 0.359 + y. Let j = 298.9483 - d. Round j to three dps.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2766 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 23*a + 20. Is i(21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1608\/(-64) - -27)\/(13\/(-104))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from fhhnfhfhhhhhhzh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 2*p - 3*p)*(1 - 2 + 2).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 2*y + 13, -3*d + 1204 - 1165 = 3*y for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -13.2 (b) -11 (c) 0.4 (d) 0.5 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-5)*(-3)\/(-3). Solve l*g - 6 + 0 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/29, 25, 3?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 155.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 231*j**2 - 81*j + 3. What are the prime factors of y(-7)?\nAnswer: 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/10 + 15\/10. Suppose -3*t + 5*s + 86 = h, 5*s + 137 = 5*t + 3*s. Calculate the remainder when 34 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 1:15 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 32 = -q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13, 2, -27, -68, -115?\n\"Answer: c**3 - 15*c**2 + 27*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1012902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 2 = -14*q - 4*a, 4*q + 6 = -2*a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 5. Let u = 7 - 2. Let y = p + u. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 36232479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) + 1*sqrt(170) + sqrt(170))*-2)\/(sqrt(10) - (sqrt(10) - sqrt(90)*4)))**2 + (sqrt(1700) + -2 + 3)*-3.\nAnswer: -30*sqrt(17) + 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/3 (b) 0 (c) -6 (d) 590\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3478, -3495, -3532, -3595, -3690, -3823, -4000?\n\"Answer: -b**3 - 4*b**2 + 2*b - 3475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13*30\/56745)\/(25\/(-75)).\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -636.5 - -637. Let s = -881 + 882. Which is the closest to 1? (a) s (b) z (c) -5 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -25*w**2 - 3 + 4 - 6*w + 24*w**2 + 2*w. Let a be y(-6). Let h = 27 + a. Is 16 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73614 + 50432. Round g to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0103499 - 292088.9896501. Let p = 292088.9440062 + d. Let g = 0.056 + p. Round g to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and -284?\nAnswer: 3976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/4, -3, 0.02, -5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -17*l**2 + 36*l. Let p(j) = 2*j**2. Give f(p(k)).\nAnswer: -68*k**4 + 72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 3*l. Suppose l = -3*i - 2*i + 35. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 + 57\/(-352))\/(261\/(-348)) and 101\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*f)*(-12*f**2 + 13*f - 13*f) + (0*f + 3*f - 2*f)*(-f**2 + 0*f**2 + 0*f**2) as k*f**3 + j*f**2 + z*f + c and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/8 - 7\/28. Let a = 12 - g. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 5) to base 10\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/20 and -151\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*n = -185*n + 40020. What is the greatest common factor of 30 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (2 - 2) + -5 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2078.775 to zero decimal places.\nAnswer: -2079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.079 and -26.\nAnswer: 2.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 4:12 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 51, 4 in increasing order.\nAnswer: -2, 0, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 5*f + 4*x - 12 = 0, -x - 11 = -f. Let c(w) = 0*w**2 - 2*w**2 + 5*w + 2*w**2 + w**2. Calculate the remainder when c(-7) is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**6\/90 - j**5\/60 + j**4\/36 + j**3\/18 - 3*j. Find x such that q(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*r - 39 = 0, r - 15 = -4*c + 3*c. Calculate the lowest common multiple of c and 256\/14 - 8\/28.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*n = 1122 + 1510, 0 = 5*g - 4*n - 6578. Let v = g - 750. Is v a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2106123913?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/(-12) - 3\/4. Suppose 9 = -l - 0*l - 4*g, 0 = -2*l - i*g + 12. Let x be 22*-3*(-11)\/6. Calculate the highest common factor of x and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82090815*f**3 + 82090822*f**3 - 164181672*f**3.\nAnswer: -35*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + 3 - (-3 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + -60. Let o(n) = 3*n - 38. Give o(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2, 5, 1, 4, 99\/2, 0.101?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**2*q**3 + 4*j**2*q - 345635*j*q**4 + 33*j*q**3 - 17483020*j*q**2 wrt q?\nAnswer: -6*j**2 - 8295240*j*q + 198*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 18. Solve 0 = 2*z + 10, -l*o + 3*z = -0*o - 19 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 79*y - 85*y - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 23*m**2 + 7 - 11*m + 20*m**2 - 43*m**2 + 29*m**3 as z + k*m**2 + r*m**3 + b*m and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-1\/19)\/n*n)*n*n\/((n*n\/(((n**(-1\/7)\/n)\/n)\/n))\/n)*n)**(-3\/16)\/(n**(-2)*n*n**(-12)*n)**(-1) assuming n is positive.\nAnswer: n**(-6375\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 2*k. Let b be 16\/(-32)*(0 + 0). Suppose b = p - 3*n + 9, p + n - 12 = -5. Let w be q(p). Solve 0 = 5*h + 28 - w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 - -106. Suppose 0*y = y - d. Let v be 140\/y - (-10)\/(-55). Solve t - 4 = -v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34, -30, -108, -206, -330, -486?\n\"Answer: -t**3 - t**2 - 54*t + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*f - 25 = 0, -3*k - 3*f = -3 - 3. Suppose -5*l = -3*s + 474, 5*l - 8 = k. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6240 = 139*w - 144*w. Let p = 2280 + w. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 14 + d - 15)*(1 - 2*d - 1).\nAnswer: -2*d**2 - 42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 2 - (-1 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 21*j**2 + j + 4. Let c be (-132)\/(-34) + 6\/51. Let k be v(c). Let n = k - 192. Is n a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/4)\/((-1784994)\/14744 - -121)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 79?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j**2 - 2. Let h(b) be the third derivative of 6*b**2 + 3\/5*b**5 + 0*b**4 + 0*b - 5\/2*b**3 + 0. What is -2*h(o) + 15*u(o)?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1580 and 493980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2*d - 5 + 0)*(-3*d**2 - d + d).\nAnswer: 6*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 17)*(-2*l + l + 4*l)*(1 + 1 - 3) + (-2*l + 3*l + l)*(-2 + 0 + 3).\nAnswer: 44*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 880 and 195940?\nAnswer: 8621360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)*6 + 5 + 4.\nAnswer: 9 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 2522?\nAnswer: 2524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -430*n**3 - 301*n**3 - 531*n**3 + 2 + 353*n**3 - 75*n - 99*n**3 + 757*n**2 + 324*n**4 = 0.\nAnswer: 1\/18, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.771979 rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (-5 - -9) - (-8)\/2. Let g be 1\/(56\/18 - n). Is 9 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 121*b.\nAnswer: b*(b - 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Let s(j) = 6 - 1 - 5 - j**b. Let y(x) = -x. Determine s(y(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 746991209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, o: 6, p: 1, j: 2, c: 1}. Give prob of picking 1 j, 1 c, and 1 o.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuvhnvuuvrnuuuvu. What is prob of sequence nvr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15225775 is divided by 236.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.078?\nAnswer: -0.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 - -66. Solve -b + 5 = f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10711 - 10541. Calculate the remainder when 752 is divided by r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + sqrt(1088)*1*6)*3.\nAnswer: -432*sqrt(17) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -528\/7 + 76. Find the common denominator of x and 1\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -65*r. Let c(j) be the third derivative of 0*j + 0*j**4 + 6*j**2 + 0*j**3 - 1\/60*j**5 + 0. Calculate a(c(l)).\nAnswer: 65*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, n: 2, t: 6, x: 1, y: 1}. Give prob of sequence ttmm.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 - 2*p - 4*p**2 + p**2 + 322*p**3.\nAnswer: 322*p**3 + p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*j**4*m**2 + 7*j**4*m - j**2*m**2 + 5*j*m**2 - 4*m**2 wrt j.\nAnswer: 192*j*m**2 + 168*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -18 = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -112?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3334*r + 240033. Give t(-72).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.7 + -5.7043. Round c to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(750)*1 - sqrt(30))\/(sqrt(10)\/sqrt(80)))\/((sqrt(150)\/(-2*sqrt(6)))\/((sqrt(500)*-1 - sqrt(500)) + sqrt(500) - sqrt(500))))**2.\nAnswer: 1228800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by -5?\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 965352 a multiple of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4303 + 11?\nAnswer: 4314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/104)\/(-8 - -23 - 13).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-4 - 1) + -4 + 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d - 4*d + 4*d + 1)*(71*d**2 + 3*d - 3*d) to the form a*d + m*d**2 + u + l*d**3 and give m.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m**3 - 2*m - 2. Let x(v) be the first derivative of -21*v**4\/2 + 15*v**2\/2 + 15*v + 2. Let z be 108\/90*130\/(-78). What is z*x(q) - 15*j(q)?\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10 - -18 - 2*-1. Suppose -5*b + x*b = 5. Calculate the common denominator of 26 and ((-138)\/(-32))\/b + 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**3 + 35*c**2 - 23*c. Let v be q(8). Solve v*y - 9*y = -4, -21 = 5*k + y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**5\/20 - 4*y**4 + 128*y**3 + 24*y**2. Factor g(v).\nAnswer: 3*(v - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 9*o**2 + 9*o - 6. Let i be v(-10). Suppose -2*y - 20 = -5*c, 4*y + 34 = 4*c + 6. Find the third derivative of -w**i + 8*w**c + 10 - 10 wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 20582?\nAnswer: 20583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233369 is divided by 1468?\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2, 2.45?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 5:20 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + 2*g**2 + 1 - 2*g**2 + (-g - g + 4*g)*(-2*g + 0*g + 6*g) + (3*g - 2*g - 2*g)*(-5 + 2*g + 5) - g + g - 3*g**2.\nAnswer: 4*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10.7165136 and 0.7?\nAnswer: 11.4165136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 27*j**2 + 76*j - 14. What is n(24)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -427 - -1292\/3. Find the common denominator of 24\/17 and b.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 18 = -v. Suppose 0 = 31*n - 120 - 35. Sort v, 3, n in decreasing order.\nAnswer: n, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, y: 7}. What is prob of picking 2 i and 2 y?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 3*w - 5. Let f = -7 + 2. Let x be o(f). Suppose 3*u = -2*l + x, -3*l + 2*l + 3*u - 20 = 0. Let p(j) = j + 4. Give p(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/8457 - 146624\/76113. Find the common denominator of k and -59\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 + -345\/4. Which is the closest to 0? (a) -19 (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 66 = 15*a, -501*r + 497*r = -5*a + 103 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + 1. Suppose 26 = 3*r + m. Solve -u + 15 = -r*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qoqqmqoqqqoqoookoqo?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/30 and 211\/2940.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 2*p + 1. Determine a(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-210)\/63*(-174)\/10. What is the first derivative of b*g + 1 - 164*g + 38 wrt g?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 25 + 25 = 0. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38\/7 + -27\/14. Let p = 28.923 - 25.923. Put -2\/9, p, u in increasing order.\nAnswer: -2\/9, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**4 - 8*j**3 - 4*j - 5. Let h(u) = u**3 - 5*u**2 + u + 6. Let v(c) = -c**2 + 1. Let f(o) = h(o) - 5*v(o). Let a(m) = -d(m) - 6*f(m). Factor a(b).\nAnswer: (b - 1)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10\/6547 - 582923\/157128. What is the common denominator of 19\/2 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1703*g + 499. Let b be t(3). Calculate the greatest common divisor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 156 = 29*b + 38*b + 82*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.88 + -1.22. Let h = -2.9 + f. Suppose 5*w - 11 = -5*c - 1, 3*c + 15 = 4*w. What is the nearest to -0.1 in -0.4, h, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*o, z - 3*o = 73 + 46. Suppose 298 = 3*a - z. Is 31 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1741 = -18*l + 16*l, -3*w = 2*l - 1735. What is the highest common divisor of l and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvwq when four letters picked without replacement from {h: 2, v: 2, q: 10, w: 1, r: 4}.\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 9*a**2 + a + 6. Let q be g(-9). Is ((-22)\/6)\/(q\/171) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - x**2 - 6*x + 761. Let z be h(0). Let u = -752 + z. Solve 0 = 3*j + 2*l - u, -4*l - 3 - 14 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35660?\nAnswer: 2, 5, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eewwrfewre. Give prob of picking 1 w and 1 e.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -5)*(0 - 1) + 2006. Let i = -912 + b. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444510*c + 31477 = -445309*c - 16463 for c.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*b**2 + 75\/4*b + 85\/2.\nAnswer: -5*(b - 17)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1970139 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36880 (base 11) to base 12.\nAnswer: 26799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*h = 109299995, -18602015 = 5*y - 4*h + 90697989. What is y rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4852458 divided by 54522\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**5\/9 + 11*r**4\/9 + 20*r**3\/9 + 4*r**2\/3 = 0?\nAnswer: -2, -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*m + 2*m + 12*m - 5514*m**2 - 3070*m**2 - 25*m as z*m**2 + i*m + s and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c05dd - 40?\nAnswer: -c061d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from anxnahdxxhnka.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.106 - 0.406. Put -2, 2\/61, r, -4 in decreasing order.\nAnswer: 2\/61, r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.935 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 12*q**2 - 19*q - 25. What is g(9)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 - 76. Suppose -5*j + 0*j + 50 = 0. Suppose -j*x + s*x = -48. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -290 - -715. Calculate the highest common divisor of 50 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 16*d**2 - 17*d**2 + 17*d**2 + 8*d**2 - 25*d**2. Let a be (2 - 0)*(0 - -1). Let x(r) = -42*r**2 - 3*r**a - 10*r**2. Calculate x(p(u)).\nAnswer: -55*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + (-382)\/(-10) + 9\/(-45)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1859933692?\nAnswer: 2, 464983423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbjbjjjbbjbbbj. Give prob of sequence bj.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 8*r**2. Let u(k) = -2*k + 7136. What is j(u(y))?\nAnswer: 32*y**2 - 228352*y + 407379968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-258)\/(-172)*-2*(-1)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/3780 and -59\/753480?\nAnswer: 2260440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 12:37 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -81.62, 0.1, -407?\nAnswer: -407","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1798*b**5 + 16*b**3*l - 9*b**3 - 5*b**2*l + b**2 + 18400*b*l - 2*b + l wrt b.\nAnswer: 107880*b**2 + 96*l - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3317\/18 + 79963\/414. Let r = 635\/69 - s. Let b = -2 - -4. Sort 0.5, b, 6, r.\nAnswer: r, 0.5, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 times 82.201\nAnswer: -139.7417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*w - 4*w - 2708*w**2 - 504*w**2 - 6*w + 14*w as a*w + u*w**2 + q and give u.\nAnswer: -3212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 + 5*p - 7. Let s be b(3). Suppose 1 = 9*a - s. Suppose -a - 11 = -t. Solve -3*f + t = -0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-5 - 1)) + 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d + 7. Let p(o) = 8*o - 13*o + 2*o - 3 + o. Give 7*p(h) + 4*s(h).\nAnswer: 2*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 15284341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21462957 divided by 4\nAnswer: 21462957\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (-2 - 0) - -2. Suppose -3*o - 2*o + 140 = h. 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: Does 37 divide 951947692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(7)*-2 + -3 - (sqrt(252)*2 - sqrt(252))*1)**2.\nAnswer: 60*sqrt(7) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 7*g + 27 = -u, -3*g = 5*u - 105. Calculate the least common multiple of 60 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16665 - -1166657\/70. Find the common denominator of 248\/(-35) + 1\/(-5) and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - -6)*12\/(-20)*-5. Which is the nearest to 0? (a) r (b) -4 (c) 2\/5 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -333, 4, 0 in decreasing order.\nAnswer: 4, 1, 0, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -61*v - 450. Is 40 a factor of f(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/7 + 6\/21. Let c = i - 2. Suppose 3*z + c = 11. Calculate the lowest common multiple of 2 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**4\/24 + l**3\/2 + 387*l**2. Let x(c) = 2*c + 5. Give 5*g(u) - 3*x(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(210) - (2*sqrt(210) + sqrt(210)))*-3)\/(sqrt(216)*2 - sqrt(6)))\/(-2*sqrt(343)*-6*-1).\nAnswer: -sqrt(5)\/154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 25 = -0*f. Suppose 3*t - 2*t + 3*w = 25, 2*t - 40 = 4*w. Let r be f\/(15\/(-6))*t. Round r to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10}. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + -2*sqrt(242)) + 2 + -2*sqrt(242) + (sqrt(242) + 1)*-6 + (-1 + 1 + sqrt(242))*-4*5*4)**2.\nAnswer: 46816*sqrt(2) + 1398576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 4 (c) 1\/3 (d) 1215\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5478 divided by -33?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-18)\/(-4) + -4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -40*o**3 - 9*o**2 - 2*o - 51. List the prime factors of t(-6).\nAnswer: 3, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*x**3 - 159*x + 78*x + 81*x.\nAnswer: -171*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by -504.\nAnswer: -5\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2*g + 0*g + 4 in the form f*g + d and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 547338, 547335, 547332, 547329, 547326, 547323?\nAnswer: 547320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/(6\/156). Let o = 58 + a. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from cecxxxxxxeceec.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 + -0.27. Let m(a) = -8*a - 32. Let f be m(-4). What is the closest to f in -1, r, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8094*m - 129456. Determine j(16).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 426159762 and 4?\nAnswer: 426159758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.928 + 2.128. What is the second biggest value in q, 2, -0.07?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-36 - -10) + 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223 + -239 - (-1 - 29).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -3. Let k = g + 4. Let h be -1 - 0\/(1*-2). Sort h, k, -3\/7.\nAnswer: h, -3\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 + 3*l**4 - 2*l**4 - l**3 - 3*l**4 + l**3 + (-2*l**4 - l**4 + 4*l**4)*(5 - 4 + 0).\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u. Let s(i) = -398*i - 2. What is a(s(k))?\nAnswer: 398*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 109676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 658523414 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001010111001100 + -11?\nAnswer: 11001010111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5570664?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2237309 is divided by 224.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from aapaaapa?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -8*d + 3*d. Find the third derivative of s**3 + s**6 + 3390*s**d - 3390*s**4 - 50*s**2 wrt s.\nAnswer: 120*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1412886 and 13010?\nAnswer: 2602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(4\/(-20)*1). Put 3, -39, i in descending order.\nAnswer: i, 3, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 + -1424?\nAnswer: -1448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 70? (a) -5 (b) -1.2 (c) 1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 7:16 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 12:53 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = w - 4. Let p be (4\/10)\/((-6)\/150). Calculate the least common multiple of (12\/p)\/(3\/w) and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1627 + -0.2426. Round p to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -650*a - 1910. Determine i(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Let l be p + 0\/3 + -3. Are -4 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -5*m**4\/24 - 11*m**3\/3 + 14*m**2 + 167*m. Let i(v) = v. Calculate 3*i(a) + y(a).\nAnswer: -2*a - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1015 and 634085?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -998 - -988. Which is the second smallest value? (a) -0.4 (b) -0.3 (c) 1\/43 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23465, 46936, 70407?\n\"Answer: 23471*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 + -0.18. Suppose -4*n = 5*v - 7*n + 72, 48 = -3*v + 3*n. Let x be 0\/v - (-1 + 0). Which is the nearest to -1? (a) x (b) g (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -94, -188, -282, -376, -470, -564?\n\"Answer: -94*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -1. Let g(h) = -h**2 - 3*h + 3. Let k(a) = -g(a) + 3*j(a). What are the prime factors of k(5)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94715230 by 62.\nAnswer: -1527665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 43 + 1. Let u = b - -65. Suppose -3*p - 2*p + 4*t = -76, -4*t = -3*p + u. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 42 = -5*b, 2*z - 5*b = -z + 26. Let k = -12 + z. Suppose k*o - 27 = 43. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21397*j**4 + 1463*j**3 + 276744618*j.\nAnswer: 256764*j**2 + 8778*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*l + l = 1, l = 2*x + 4. Let k = -3.002412 + 0.002412. Which is the second smallest value? (a) x (b) k (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-423)\/(-987)*(-336)\/(-72)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + i)*(-6*i**3 + 0*i**3 + 0*i**3) + 3*i**3 - 2*i**4 - 3*i**3 + (0*i**3 - 2*i**3 + 4*i**3)*(-6*i + 2*i + 2*i).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n + 342 - 126 = -2*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -596.397\nAnswer: 596.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 9*b + 7. Let k be x(9). Let u = 29 - k. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2049.006 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 2:09 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7693 plus 1?\nAnswer: 1.7693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205 - 5*u - 16*u**2 - 203 - 20*u.\nAnswer: -16*u**2 - 25*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 20*w - 60192 = -44*w. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13 + -32771602.\nAnswer: -32771601.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 20*k.\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189588998.\nAnswer: 2, 17, 631, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -46924\/103 < -456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 279305*o**4 + 974246 with respect to o.\nAnswer: 1117220*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 w, and 1 o when three letters picked without replacement from {w: 2, v: 1, d: 2, l: 1, e: 1, o: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 5\/24*o**4 + 1\/60*o**5 + o**3 + 0 + 2*o**2 + 0*o. What is the remainder when i(-5) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 164 = -69. Let t = -17 + f. Suppose -5*c + 0*c = -2*u - 1055, 0 = t*c - 5*u - 422. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*x = 111*x + 127*x - 1964976. Is x a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 r when four letters picked without replacement from {f: 13, r: 3}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14349\/10424 + 2\/1303. What is the common denominator of -36\/7 and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - ((-15 - -1) + 26 + -15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1843, 3814, 7107, 11728, 17683?\n\"Answer: a**3 + 655*a**2 - a + 1188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d - 196. Let r be o(14). Let n be (36\/r)\/((-3)\/7). What is the nearest to 0 in 0, -1, n, -0.19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -5, 45, 12 in decreasing order.\nAnswer: 45, 12, 7, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4368)\/520*((-375)\/(-30))\/(2\/(-2)) + -14.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4))**(-18)\/((z**5\/z)\/z*z*z\/z**(-8)) assuming z is positive.\nAnswer: z**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2. Let i(g) = -12*g**2 - 8*g. Let v(y) = -23*y**2 - 14*y. Let u(f) = -7*i(f) + 4*v(f). Calculate u(z(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.571 - -41.671. Let t = 39 - w. Round t to 1 decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16143*-0.25.\nAnswer: 4035.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 938942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*a - 16, 27 = 3*r - 6*r - 5*a. Let h = -1.167 - -2.167. Put -2, 2\/5, r, h in descending order.\nAnswer: h, 2\/5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4))**(1\/27)*b\/(b**(1\/12)\/b)*b*b**6 assuming b is positive.\nAnswer: b**(241\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -6.9999764. What is y rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - u - 1)*(-1 - 6 - 8).\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 142857619 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k = -630. Let x be (-16)\/20 + 4 + (-54)\/(-5). What is the highest common divisor of x and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-45)\/(-2))*27*30\/52650*39.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 17*q - 4. Let c be f(3). Let d = 32 + c. Let p = -55 + d. What is the lowest common multiple of 20 and p?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5513 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**12\/(h\/((h\/(h\/h**(3\/13)))\/h*h)))\/(h**27\/(h\/(h\/(h*h\/h**(-22)*h)))) assuming h is positive.\nAnswer: h**(120\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -11341?\nAnswer: -10\/11341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/36700 and 49\/69730.\nAnswer: 697300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*y**3 + 16*y**3 + 10*y**5 + 31624 - 31624 - 195*y**5 + (-y**2 - 3 + 3)*(2*y**3 + 3*y - 3*y).\nAnswer: -187*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137657 or 963596\/7?\nAnswer: 963596\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2252893 + -2577309811\/1144. Let m = 1312 + -136449\/104. Let x = m - f. Which is the nearest to -1? (a) x (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -6 - (-173 + 172).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/12 and -73\/12855?\nAnswer: 51420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*p - 48 = 74*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/3 - 106595*u**3\/3 - 2836942408*u**2\/3 + 65418951152*u.\nAnswer: -u*(u - 69)*(u + 53332)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2))\/(5\/(-10)). Suppose 33 = -d*x + 24, 4 = y - x. Let t(m) = -m**3 - 1. What is t(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + -6*((sqrt(684) - (sqrt(684) - (sqrt(684) + 3) - sqrt(684))) + -4 + sqrt(684)*6 + -1)*5)**2.\nAnswer: -806400*sqrt(19) + 197007680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o. Let p(g) = 35*g**2 + 4*g + 8. Let u(i) = -63*i**2 - 10*i - 17. Let q(y) = -5*p(y) - 2*u(y). Give q(n(j)).\nAnswer: -49*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(5) + 0 + sqrt(55)\/sqrt(11))**2.\nAnswer: 12*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3273\/490 or -6?\nAnswer: -3273\/490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3944732671 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3308*l**3 - 6602*l**3 - l**2 + 2*l**4 + 3293*l**3 + 11*l - 36 in the form o*l**2 + j*l + c*l**3 + m*l**4 + z and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92757 - 92757. Suppose -2*o - 4 + 2 = 3*c, 7 = -o - 3*c. Sort -5, r, o in decreasing order.\nAnswer: o, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2663 or 1566?\nAnswer: 1566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(0 - (-1)\/1). Let n(q) = q**3 - 6*q**2 + q - 1. Let c be n(6). Let g be (c + u)*(-1)\/(-2). Solve 0 = 4*x + 14 - g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -182*r**2 + 5*r + 2. Let s(z) = -91*z**2 + 3*z + 1. Let a(q) = -5*s(q) + 3*v(q). Let h be a(-1). What is h rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*25\/20*6. Let p be (h\/(-5))\/(3\/2). Factor 12 - 4*s**2 - 7*s**2 - 48 - 42*s - 2*s**3 - 5*s**p.\nAnswer: -2*(s + 2)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/7903 and 4.7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109.988 - 0.012. Let a = o - -109.9999301. Round a to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-14) - 264\/(-42). Suppose -z = -4*z - t. What are the prime factors of (30\/4)\/(z\/(-4))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + -110000011000101?\nAnswer: -110000011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4273283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2050334.1765967 - 2048506.5643. Let d = -1828.4023 + w. Let a = 0.79 + d. Round a to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 25445.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -29.8. What is the smallest value in p, -2\/13, 2\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*1\/(12\/12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30583386 divided by 18\nAnswer: 1699077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28596598 to the nearest integer?\nAnswer: 5348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -41018 + 41016 + 331*f + 194*f in the form m + q*f and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -9.6. Which is the nearest to 2\/7? (a) -0.5 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -82.696 in -4, 0.5, 1, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3067*v + 39879. Calculate g(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4\/5)*r)\/(r*r\/r**(-5)))**(1\/21) assuming r is positive.\nAnswer: r**(-34\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsbg when four letters picked without replacement from uusuubutubtubtgunn?\nAnswer: 1\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g = 0. Let k = 433 + -319. Suppose g = 4*w - 20, 0 = -3*h + 7*h + 2*w - k. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence duzm when four letters picked without replacement from mummmmzgdmmm.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 11:04 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, r: 6}. Give prob of sequence rrr.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-105131451.\nAnswer: 42052580.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 290048682\/594 - ((-1)\/((-36)\/(-128)) - -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t. Let d(f) be the first derivative of 1795*f**2\/2 - 2895. Give n(d(y)).\nAnswer: 3590*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -23d?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*(((v**(2\/5)\/v)\/v*v*v)\/v)\/v)\/(v\/v**(-16)*(v*v*v*v**(-1\/5))\/v*v*v) assuming v is positive.\nAnswer: v**(-117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k = 5*l - 23, 3*k - 3*l - 159 = 0. Suppose -14*x - 782 = -5*x - 3311. Calculate the remainder when x is divided by k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -226612 - -226609. Let w be (-6)\/15 + 135\/25. Let h(r) = -r**2 + 7*r - 6. Let y be h(6). Put w, y, -4, v in decreasing order.\nAnswer: w, y, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**5\/60 - o**2. Let i = -6 + 12. Let c(y) = 2*y + i*y - 2*y - 4*y. Give c(p(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 51, 102, 157, 216?\n\"Answer: 2*c**2 + 45*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 - 11*p. Let y(h) = 34*h + 174. What is y(b(l))?\nAnswer: 102*l**2 - 374*l + 174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6739 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 18*m + 12. Is h(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 * -22744\nAnswer: -1091712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i = 0. Suppose 3*k + 0*k = 12. Suppose 2*a - 2 = -5*y + 12, k = 4*y + 4*a. Solve i = -p - 0*p - y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)*h)**4*h\/h**1*(h**3*h)\/h)**(1\/4) assuming h is positive.\nAnswer: h**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36503077 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-4*sqrt(76)*-3 - sqrt(76)) + 4 + -4*sqrt(76)))**2.\nAnswer: 1008*sqrt(19) + 33660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28.07311 from -450.\nAnswer: -421.92689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u. Let y(v) = 9*v - v**2 + 0*v - 12*v. Suppose 0*m + 9 = 3*m. Suppose -7*h + m*h - 4*n = -4, 13 = 4*h - 5*n. Determine h*y(p) + 3*x(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1525 - 6033\/4. Let d = -257 - -362. Find the common denominator of (-1)\/(-12)*(6 + d) and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*l = 5, i - 2 = -0*l - 3*l. Let j(t) = -2*t - 7. Suppose 7*n - 22 + 50 = 0. Let s be j(n). What is the nearest to i in -2\/3, 5, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011202201000 (base 3) to base 12.\nAnswer: 479483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7402 is divided by 335.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 98 = -5*o + 12, -5*x = -3*o - 126. Let l = -727 + 895. What is the highest common factor of l and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 219 + -165. What is the common denominator of (-507)\/m + -1*(-3 + -1) and (-2)\/(-48)*(-2720)\/24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m - 12*m + 9*m + 18*m)*(3 + 3 - 2).\nAnswer: 92*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3, 2*z - 340 = 5*z + 5*j. Let x = z - -182. Let h = -42 + x. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 42, 8, -0.4509?\nAnswer: -0.4509","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*d - 4*f, -f = -5*d - 0*f + 45. Suppose 4*z + d*z - 1668 = 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6176480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Let x = -394\/3 + 2764\/21. Which is the second smallest value? (a) j (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/((-1)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 435 - 0*2\/(-8). Let l be (-3 - 36\/(-10))\/(3\/s). Let y = 24 + l. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/(-110))\/(6\/(-8)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 11*s + 11. Let u(p) = 2*p**2 + 0*p**2 + p**2 + 3*p + 2 - 2*p**2. Let v be u(-5). Is g(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 20, 8, 1 in decreasing order.\nAnswer: 23, 20, 8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.99 and -691?\nAnswer: 10358.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18930 - 11414. What are the prime factors of z?\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 520524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -51*d - 9. Let o(y) = -38*y - 7. Let c(z) = 4*o(z) - 3*s(z). Let r(j) = -9*j**2. What is c(r(x))?\nAnswer: -9*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -19, -15, -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**3 - 8*y**2 + 17*y + 36. Determine w(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*w = 6200, -4*t - 4*w - 961 + 5921 = 0. Suppose 4*a - 12 = 0, 4*f + 0*a - t = -4*a. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 152 (b) -8\/5 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (38\/(-7) + 4)*-14. Factor -10*h**2 + 25*h**3 - 110*h + z*h**3 + 5*h**5 + 25*h**4 + 45*h**2 + 120*h.\nAnswer: 5*h*(h + 1)**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) + 33798\/4. Let v be 3\/30*6 + (-342)\/(-30). Suppose v*b - 3634 - x = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1848835*d - 3 - 1848833*d - 555*d**2)*(-4*d + 5*d + d).\nAnswer: -1110*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + 3*(sqrt(36) + sqrt(4)) + sqrt(4))\/(sqrt(792)\/sqrt(11)).\nAnswer: 7*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -j - 10769, -4*i = -12*j + 13*j - 8608. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -d + 244 - 248, 4*m + 16 = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -14*i - 1. Let q(b) = 5*b**2 - 1254210 + 1254210. Give q(y(u)).\nAnswer: 980*u**2 + 140*u + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-682)\/2044 + 4 + 130\/(-35) and 119\/18?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 978 and 118338.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 64*m - 608. Give q(-11).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 5:15 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -l + 5*l + 3, 12 = 2*m + 2*l. Let o = 37220 + -37067. Calculate the greatest common divisor of m and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 5 = -35 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 4:08 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*a + 4*h + 18 = 0, -3*a + 2*h + 14 = 0. Suppose a*i + v - 3*v = -6, -8 = -2*v. What is the least common multiple of (4 + 1)\/((-1)\/(-1)) and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 596958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 5:07 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29695 is divided by 29402.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3466, -3453, -3430, -3397, -3354, -3301, -3238?\n\"Answer: 5*y**2 - 2*y - 3469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -14\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + 12*i - 11*i + i - 13*i + 13*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267816 is divided by 850?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 12*t**2 + 12*t + 8. Let w be i(13). Let a = -2.745 + 2.845. Let b = -3 + 1. What is the nearest to a in b, -2\/7, w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6\/5)\/s)\/(s\/s**(-11)))\/((s*s*s**(-1\/9))\/s**(1\/2)) assuming s is positive.\nAnswer: s**(-1403\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -589*k + 10690. Give p(18).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 99*p + 36976 - 315562. Is 42 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1258, 1, 2 in increasing order.\nAnswer: -1258, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2 + 4 + 32*b - 21 - 14 + 0 = 0. Calculate b.\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65414 is divided by 8914?\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.88 - 0.07. Let d = r - 5.11. Let q = d - -4.2999958. Round q to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144822017 and 206.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238241 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 1, k: 2, x: 1, b: 1, w: 1}. Give prob of sequence wy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481665 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-348)\/174*(848\/(-64))\/(2\/4)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**5\/3 - 4*k**4 + 2*k**3\/3 + 16*k**2 - 40*k\/3 = 0.\nAnswer: -2, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 113*n - 13. Let z(l) be the second derivative of l**4\/12 + 9*l - 2. Give q(z(v)).\nAnswer: 113*v**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -w + 5*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-48)*30\/(-25)*100\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - -24624?\nAnswer: 24612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29724 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -4 + 6*k - 17*k**2 - 4 - 2*k + 16*k**2. Determine s(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-7)\/4 - 2714\/5192.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103775499, -103775497, -103775485, -103775457, -103775407, -103775329, -103775217, -103775065?\nAnswer: -103774867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 3*c - 2*c)*(0*c - 14*c - 5*c)*(-14*c - 12*c + 13*c).\nAnswer: -494*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 10*u**2 + 6*u - 20. Let v = 55 - 20. Suppose 0 = 2*w + 5*q + 43, -3*q + q = -5*w - v. Is b(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c = -6. Let g be c - -1 - (5 - -2). Let s(u) = -u**2 - 13*u - 5. What are the prime factors of s(g)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.17 - -0.23. Let k = 0 + 0.1. Sort 0.2, k, z in descending order.\nAnswer: z, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26028*b**4 - 7*b - 2638.\nAnswer: -312336*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 - -76. Suppose 0 = -v - 3*h + h + 8, h + 32 = 4*v. Let m = v + 3. What is the remainder when x is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -14*s + 4*s**2 + 27*s + 12 - 6*s**2. Let a be k(7). Let f be a\/((2\/(-1))\/((-24)\/10)). Calculate the greatest common factor of f and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1009? (a) 0 (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 123323.4 millilitres in litres?\nAnswer: 123.3234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 1 - 3 - 6)*(-39 + 5*x**4 + 39) as s*x + v + r*x**2 + q*x**4 + d*x**3 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235 = -3*w + 50*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144056, 288196, 432410, 576698, 721060?\nAnswer: 865496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 10 - ((3 - -8) + -6)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -338 + 345. What is the tens digit of (c\/35)\/(3\/2955)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1682335 + 0.1683. What is l rounded to six dps?\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8 - 13\/(-4). Let v(a) = -a**3 + 2*a**2 - 4*a + 3. Let b be v(1). Let o = b + i. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 - 235 - 69*u - 144 - 13*u + 513.\nAnswer: -82*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30, 249, 604, 1089, 1698, 2425, 3264, 4209?\n\"Answer: -g**3 + 74*g**2 + 4*g - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 380414580 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.34597 times 0.46\nAnswer: -0.1591462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -26483*b**2 - 60*b + 97*b**3 + 26784*b**2 + 15*b + 7*b**4 = 0.\nAnswer: -9, -5, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -58 (b) -5 (c) -2\/9 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*r - 807*r**4 + 810*r**4 + 2 + 41*r as k*r**3 + z*r + l*r**2 + g*r**4 + s and give z.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 306 and 36?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 8, k: 1, e: 2, y: 4}. Give prob of picking 1 k, 1 o, and 1 a.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 3) + -2 + 59 + -68?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163058 is divided by 526?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqg when three letters picked without replacement from ggzgscwgsqcq.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 v, and 2 j when four letters picked without replacement from vrrrjjsr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*z**3 - 105*z**2 + 9*z - 149991 with respect to z.\nAnswer: 30*z**2 - 210*z + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2398586677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1548710 rounded to the nearest ten thousand?\nAnswer: 1550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -90 (b) 3 (c) -1 (d) 2 (e) 507\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3\/11)*k)\/k**(-7\/3) assuming k is positive.\nAnswer: k**(134\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112 - -1024444?\nAnswer: 1030111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28372 is divided by 3546.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23779590 and 8610?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 141 = 21. Suppose -5*b - 2*w + 25 = -0*b, 5*w + 10 = 2*b. Solve r*n - b*p + 10 = 0, 2*n = -n + 2*p - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24681 is divided by 132.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.25151 to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 1. Let g be u(1). Suppose g = i + 2*i. Find y, given that -2*y**4 + 1 - 2*y**3 + y**5 + y + i*y**5 - 2*y**2 + 3*y**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**4\/12 + 4*b**3\/3 - 3*b**2 - 2*b. Let h be n(-11). Suppose c + 4*f + 4 = 0, h + 8 = 4*c - f. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 5*m = -15. Suppose -m*k + 0*k = -51. Suppose 0 = -5*d, -3*d + k = 5*t + 2. Solve 0 = -v - t*v - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1691 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: Simplify ((sqrt(20) - (sqrt(220)\/sqrt(176) - sqrt(20)))\/((-2*sqrt(12))\/sqrt(3)) - (-4 + (3*((sqrt(45))**2 - sqrt(5)) - (-2*sqrt(25))\/sqrt(5))))*-3.\nAnswer: -3*sqrt(5)\/8 + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7782461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4023464 (base 9) to base 14.\nAnswer: 3da5b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*t = f - 16, 45 = 3*f + 5*t. Suppose f*n - 12*n + 98 = 0. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -70372, -70388, -70408, -70432, -70460, -70492?\nAnswer: -70528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f + 11. Let z(b) = -6*b - 10. Let d(m) = -5*v(m) - 4*z(m). Let x be d(-5). Let u be 3*(-1)\/(-6)*x. Is -5 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45072*m**2*p**3 - 25*m**2*p - 4*m**2 + 345*m*p**3 + 7646*m*p + m + 2*p**2 wrt m?\nAnswer: 90144*p**3 - 50*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*h - 17 + 124*h + 22 - 15 - 63*h.\nAnswer: -6*h - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t + 8*t + 7*t + 210. Which is smaller: 23\/2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 507980, 507999, 508018?\nAnswer: 508037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5232386.388 rounded to the nearest 10000?\nAnswer: -5230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - -15*4\/(-36)*-3. Suppose 1 = -p + 5*n, -21 = -5*p - n - 0*n. Suppose j - p*x - 60 = 0, w*x - 155 = -4*j + 2*x. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3738 at least as big as 12.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212 = 2*u + 216 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*c = -25, -258*s + 260*s - 3*c = 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(18\/51 - (-1900)\/4250)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v - 11. What is the remainder when 47 is divided by n(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 1:13 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + a**2 - 2*a**3 + (a**2 - 7*a**2 + 9*a**2)*(-a - a + 5*a) + 5*a**3 - 8*a**3 - 19*a**3 as i*a**3 + z*a**2 + x + o*a and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 926276.9 hours in nanoseconds?\nAnswer: 3334596840000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1. Let o(r) = r + 9. Let d(l) = o(l) + 2*y(l). Let w(g) = -2*g - 19. Let a(b) = -7*d(b) - 4*w(b). What is a(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5\/13 + 4*w**4\/13 + 126*w**3\/13 - 576*w**2\/13 + 648*w\/13 = 0 for w.\nAnswer: -9, 0, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and 4904.\nAnswer: -88272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 112, 165?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 115.4, -0.042, 5, 4, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*y + 2*y + 4*y + 7*y + 13*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3*w - 189, 2*w + 15 = 7*w. Let n = r - -68. Suppose -9 = -n*v - 3. Solve -5*i - 2*h + h = 12, -i = -v*h + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**5 - 200*z**4 - 2285*z**3 - 7590*z**2 = 0.\nAnswer: -23, -11, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26859 + 201892. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 6:52 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 609090885916 - 5.\nAnswer: 609090885911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-3 - (-4 - 0)). What is the highest common divisor of 8 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 1 + 29 = -3*f + 4*m, -15 = -3*m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36\/7*m + 96\/7*m**2 - 162\/7 + 4*m**3 + 2\/7*m**4.\nAnswer: 2*(m - 1)*(m + 3)**2*(m + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - m = 14, 3*t + m = -2*t + 10. Suppose a + t = -2*a. Let u be (-7)\/(-7)*0\/a. Solve -40 = -5*h - 4*j, j - 5 = -u*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.007146353861 and -9?\nAnswer: 8.992853646139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159771975?\nAnswer: 3, 5, 11, 193663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*z + 2*y, 2*z - 8 = y. Suppose f = z*f. Solve f = -3*d + d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2052 + 2192 = 10*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 6 - 0. Suppose -q*l = r - 79513, 0 = 2*r - l - l - 158996. Suppose d + 4*d + r = t, -4*t + 12 = 0. Round d to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*p**3*q**3 + 2*p**3 + 323*p**2*q**2 - 54*p*q - p - q**3 + q wrt p?\nAnswer: -24*p*q**3 + 12*p + 646*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 493 - 1568*c - 243 - 250 as o*c + l and give o.\nAnswer: -1568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**4 - 9418*x**3 - 10781400*x**2 + 733160536*x + 18900746720 = 0.\nAnswer: -2386, -20, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 953428.4 nanograms to grams.\nAnswer: 0.0009534284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 18. Suppose -v = 4*f + 15, 3*v + 3 + 6 = 0. Let m be 2 - 19 - f - 2. What is the tens digit of w(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -321 smaller than -323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 10*m**3 - 14*m**3 - 78*m**2 + 151*m**2 - 75*m**2 + 5*m - 4*m to the form f + u*m**3 + s*m + x*m**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 + -52. Let m = -74 - -72. Let w(a) = 0*a + a**2 - a + 1 + 2*a. Let l(d) = -3*d**2 - 4*d. Give m*w(g) + t*l(g).\nAnswer: g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 146*d. Let b(u) = -2*u. Calculate b(s(n)).\nAnswer: -4*n**2 + 292*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4, 8 = 2*d - 3*d + m. Let z = 1 + -96. Calculate the common denominator of -61\/8 and -2 + 2 + z\/d + -3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -0.5, 0.151, -2, 3, 0.2?\nAnswer: 0.151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/50787 and 32\/586359.\nAnswer: 6449949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -130*v**2 + 525*v. Calculate l(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.69764 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 1. Let w be t(6). Suppose -32*k - 18 = -37*k - 2*b, 3*b - 2 = 5*k. Let a(d) = 5*d**k + 2*d + 265*d**3 + 262*d**3 - 528*d**3 - 7. Determine a(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/116 and -155\/23460768.\nAnswer: 23460768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6119.2 + -6118. Does 1.84 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -20, -83, -184, -329?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 3*r**5\/10 - r**3\/3 - r**2\/2 + 8*r. Let j be b(-1). Let a(s) = -s**2 - 4*s + 6. Calculate a(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-1\/60)*t)*t**(-25)*t*(t**13*t)**(1\/5) assuming t is positive.\nAnswer: t**(-1331\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-145)\/(-377))\/((-61)\/((-793)\/(-14)))?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, n: 1, k: 3}. What is prob of sequence kkn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*g + g + 2*a, -5*a + 19 = 4*g. Let t = g - -4. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(24)\/(sqrt(24)\/sqrt(3))*5 + -6*(sqrt(3) + 1 + 5)*-1)*2.\nAnswer: -8*sqrt(3) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 70.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/13 + 672*b**2\/13 + 66138*b\/13 + 1550468\/13.\nAnswer: 2*(b + 34)*(b + 151)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9444785.\nAnswer: 5, 7, 269851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45648, -187, -1 in ascending order.\nAnswer: -45648, -187, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 5*n + 5. Let y(r) = r**2 - 2*r + 2. Let m be (8\/4)\/(2*-1). Let x be (m + 2)*3 + -1. What is x*l(u) - 5*y(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*c = -80*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -2\/5 (c) -2\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - 4*x + 0*x + (-2*x + 4*x - 4*x)*(1 - 16 - 10) + (3 + 0 - 1)*(x - 5*x + 3*x) in the form g*x + c and give g.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*l = 16, 55 + 1 = 4*q + 2*l. Let y be ((-66)\/55)\/(2\/(-35)). Let u = y - q. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 133 - 120. Is -1 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/6 - -3)*2\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 11. Let m be ((-3)\/(-6))\/(h\/8). Suppose 4*i - 10 = 2*k, -m*i + k + 6 + 3 = 0. Solve 7*w = i*w + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2063325.6 rounded to the nearest 1000?\nAnswer: -2063000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 7*n = 64. Let z(q) = 6*q - 38. Let d be z(n). Let r(s) = -s + 4. What is r(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/1353 and 127\/6.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*f - 27*f**4 + 31*f**4 + 54*f - 2*f**2 - 2 + 4 as v*f**3 + g*f**2 + t + i*f + b*f**4 and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 610*a**2 - 11*a - 646. Let z(r) be the first derivative of -122*r**3\/3 + r**2 + 129*r + 124. Let b(k) = 2*q(k) + 11*z(k). Differentiate b(c) wrt c.\nAnswer: -244*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 11*k + 6 = 0. Let g(j) = -4*j - k + 2*j**2 - 5*j**3 + 4*j**2 + 6*j**3 - j**2. List the prime factors of g(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -22*l**2 + 43*l + 6. Let s be c(2). Solve s*w + 22 = 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i - 58. What is y(-7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 22 = 4*i, -5*t + 29 = 5*i - t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77328 and 216.\nAnswer: 77328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f**2 - 3*f + 3. Suppose -5*v + a + 11 = 0, -3 = -5*v - 3*a + 4. What are the prime factors of q(v)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9*t**5 + 2*t**4 + 10*t**2 - 2*t - 2. Let w(y) = -y**5 - y**4 + y**2 + y + 1. Let b(c) = m(c) + 2*w(c). Find the third derivative of b(o) wrt o.\nAnswer: 420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6519 by -1.\nAnswer: 6519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 - 228*n + 102*n + 2*n**3 + 140*n to g*n**4 + y*n**3 + s + a*n**2 + w*n and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42142866373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1350240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 63966.\nAnswer: 19\/63966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 27690819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 14)*(-2*d + 2*d + 2*d**2).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2661 rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -50112910 divided by -415\nAnswer: 120754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 199, 52, 104, -4 in decreasing order.\nAnswer: 199, 104, 52, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 257170 to the nearest 1000.\nAnswer: 257000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - a - 2. Let v(o) = 4*o**2 + 33*o + 12. Let y(l) = -6*q(l) - v(l). Let n(w) = 2*w. Give y(n(s)).\nAnswer: 8*s**2 - 54*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2630 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/11)*w**(-4\/3)\/w*(w*w\/w**(-3)*w)**(-1\/27) assuming w is positive.\nAnswer: w**(-235\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 9*f**2 + 4*f + 1. Let x be y(2). Suppose 4*n - 1 = -x. Let p = n - -13. Solve 0 = 4*i - p*s + 18, -4*s = -i - 4*i - 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 0 + 10 + 10*v**2.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of (-73615)\/(-10 + 5) - (-58 + 61)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 2. Suppose -3*j - 17 - 1 = 0. Let z be f(j). Let v = z - 10. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5582430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238 and 2078930.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915 a factor of 47857886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 + 42 = -2*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = -27*v + 82. Put -4, 4, 3, -3, v in decreasing order.\nAnswer: 4, 3, v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1711477.\nAnswer: 61, 28057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 5*z**2 - 3*z - 6. Let s = 104 + -72. Calculate the least common multiple of s and x(-4).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 u when four letters picked without replacement from {q: 5, o: 3, w: 2, u: 2, v: 6}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3*b = -6*u - 34, 11 = -4*u - 3*b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/5 + 66*d**2\/5 + 1404*d = 0. Calculate d.\nAnswer: -45, 0, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 + 114. Suppose -19045 = -a*h + 25*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/144522 and 73\/96348.\nAnswer: 289044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 140 - 2 - 2561\/(-197).\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1610648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 9.14 and -6827278575.\nAnswer: -6827278565.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 31*q**2 - 8*q + 28. What are the prime factors of p(6)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 - -60 - (-9 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 469741 - 308412. Suppose b = -d - 99269. Let c = d - 669402. Round c to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1900 + 3505\/2*k + 145*k**2 + 5\/2*k**3.\nAnswer: 5*(k - 1)*(k + 19)*(k + 40)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -308*p + 16. Let x(h) = -5235*h + 280. What is 70*l(f) - 4*x(f)?\nAnswer: -620*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 115\/4*a**4 + 0*a - 16*a**3 + 0*a**2 + 133. What is the third derivative of w(h) wrt h?\nAnswer: 690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000006201 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*k + 890, k + a = 3*k - 353. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 + 21129303*k - 21129303*k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c*i**2 - 4*c*i*t + 1777*c*t - 4*i**2*t + i*t wrt i.\nAnswer: -6*c*i - 4*c*t - 8*i*t + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41.96 and 428?\nAnswer: 17958.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -220.9 - -221. Let j = -3.6 - -4. What is the closest to i in 3\/8, 5, j?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -24*r**3 - 3*r**2 + 2*r + 1. Let m(a) = -71*a**3 - 10*a**2 + 7*a + 3. Calculate 2*m(c) - 7*z(c).\nAnswer: 26*c**3 + c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7471 is divided by 614.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 4*z + 6. Give k(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 230.1958 and 0.11?\nAnswer: 230.0858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**6\/30 + 89*i**5\/50 + 129*i**4\/5 - 108*i**3\/5 + 14*i + 20. Factor p(m).\nAnswer: m*(m + 18)**2*(5*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n + 1. Suppose -h + n = -66. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 9450100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13895*b**3 + 364*b**2 - 2*b + 79500452?\nAnswer: 41685*b**2 + 728*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 2*u**5\/15 + u**4\/24 + 11*u**2. Find the second derivative of s(q) wrt q.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/939 - -6569\/1878. Let m(h) be the second derivative of -f*h**2 + 0 - 6*h + 5\/6*h**3. Differentiate m(v) wrt v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 2*m**2 + 0)*(0*m - 2*m - m).\nAnswer: 6*m**3 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159, -222, -285, -348, -411, -474?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, f: 6, z: 4, l: 2, n: 1}. Give prob of sequence nqz.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 25 + 8 = 3*i, -12 = 4*o + 4*i. Let l = 17 - 10. Solve -2*v + l = d + v, -o*d - 5*v + 11 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 21, -71*f + 67*f + 5*z + 67 = 0. Calculate the remainder when 38 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(4) + 3 + -4.\nAnswer: -1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*4*(((-3 + 0 + sqrt(75) - sqrt(75)) + sqrt(75) - sqrt(75)) + sqrt(75)*1*-3))**2.\nAnswer: 21600*sqrt(3) + 174825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 110 = 6*h. Let y = 24 - h. Suppose -3*n + 5 = -y*n. Calculate the lowest common multiple of n and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 1, j: 4, l: 2}. What is prob of picking 1 l and 1 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20965, 83898, 188787, 335632, 524433, 755190, 1027903?\n\"Answer: 20978*s**2 - s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 5*d + 5. Suppose 0 = -o - l + 11, -5*o = -o - 3*l - 23. Suppose -14 = x + 4*q, 3*x + o + 13 = -5*q. Let j be (5\/x)\/(1\/2). Calculate i(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.093, -0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*x + 6 = -6, 3*x + 15 = 3*q. Suppose q*k = 1809 - 9. Round k to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -536, -1069, -1602, -2135, -2668?\nAnswer: -3201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j. Let q(a) = -448*a. Give g(q(y)).\nAnswer: -896*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*t - 3)*(3*t - t + t)*(64 - 140 - 107).\nAnswer: 2196*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -289.59 * 0.2.\nAnswer: -57.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2 = 3*r + 35, -2*d - r + 16 = 0. Suppose -d*b - 4*s - 89152 = -13*b, -2*b + 44564 = 2*s. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-5\/2)\/r**(-7\/8))**(2\/53))**(-6\/29))**(-4\/29) assuming r is positive.\nAnswer: r**(-78\/44573)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + -19 - (24 - 17).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -44, -39, 0, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.94 and 28155109?\nAnswer: 28155110.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 + -0.2. Let o = h + 1.4. Let l be 32\/63 + (-4)\/18. Which is the closest to 0? (a) o (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 7801?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -325, -487, -649, -811?\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 14143155.\nAnswer: 14143155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 7) to base 10.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7579130563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 375, 2350, 7733, 18228, 35539, 61370?\n\"Answer: 284*b**3 - 13*b + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q - 2*q)*(q**2 + 4*q**2 - q**2) + 44*q**2 - 44*q**2 - 12*q**3 - 2*q**3 + 3*q**3 - 2*q**3.\nAnswer: -21*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/15*((-60)\/(-14))\/((-873)\/(-13580)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506 = 6*t - 596 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-236262)\/13*1\/(-4). Let b = u - 3383. Suppose 0 = 3*t - 1031 - b. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3\/13, 4, -3, -0.2 in ascending order.\nAnswer: -3, -3\/13, -0.2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 3*h**2 + 1. Let i be l(-1). Let n be (-4 - i) + 515\/5. Calculate the highest common divisor of n and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -13*i + 22. Let l(z) = z**2 - 8*z - 1. Let d be l(5). Let y = -76\/5 - d. Which is greater: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5 - -1. Let v be (27\/(-36))\/(90\/51) - 4\/(-5). Are v and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1.21, 1.3, -3, -0.1 in decreasing order.\nAnswer: 1.3, 1.21, 0.5, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 101 (c) 53 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14445 and -0.9.\nAnswer: 14444.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46175?\nAnswer: 5, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(189))\/sqrt(9) + sqrt(42)\/sqrt(50))\/(sqrt(15)\/(sqrt(5) - (sqrt(45) + sqrt(5)) - sqrt(5)) - sqrt(3) - sqrt(33)\/sqrt(99)).\nAnswer: -192*sqrt(7)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, s: 7, j: 1}. What is prob of sequence jss?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128*w**2 + 28424*w**6 - 60113*w**6 + 28852*w**6 wrt w.\nAnswer: -340440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1310 is divided by 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491500745.\nAnswer: 5, 98300149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q + 3*f = -21, -2*q + 4*f = 0. Let g(w) = 9*w - 4*w + 72 - w - 18*w - 15*w. Is g(q) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/19))**27\/(c**(2\/15)*c**(-13)))**(23\/6) assuming c is positive.\nAnswer: c**(102971\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 - ((-400)\/(-375))\/((-1)\/(-6)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/1*3\/2. Let i = 209 - 209. Let a = i - h. Calculate the remainder when 5 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1461 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-70) - 9612\/59185.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 6*j + 2. Let k be z(-6). Let m(f) = f**2 - 3*f. Let i be m(4). What is the second derivative of 2*t**4 - t**4 - k*t**i - t wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 290 = -0*r. Suppose 4*g - 3*u + 5*u - 46 = 0, -2*u + r = 5*g. Calculate the lowest common multiple of g and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 9 = 2*n, -3*l = 2*n + 3*n - 13. Suppose 4*w = n*k + 6, 4*k - 2*w + 4 + 2 = 0. Which is the smallest value? (a) -0.1 (b) k (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -149 and -3.6378.\nAnswer: -152.6378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*s, 5*l + 4*s + s = 20. Suppose -j = -l*j + 8. Suppose -5*d = -j*c - 93, 2*c - 1 - 1 = 0. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -111, -219, -329, -441, -555?\n\"Answer: -b**2 - 105*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 28\/2*(-51371)\/15302\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 9*y**2 + 9. Let z = -26 + 17. Let k be i(z). Solve -7 = a - 3*p, 5*p + k = 5*a + 24 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 336 divided by -4\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304, 931, 1876, 3139, 4720, 6619, 8836?\nAnswer: 11371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23686528 to the power of 1\/2, to the nearest integer?\nAnswer: 4867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2*r + 172, 3*i + 2*r - 107 = 7*r. Suppose 0 = -f - 3*f + 5*k + 19, -4*k = 5*f - i. Let n(w) = 3*w**2 - 16*w + 4. Does 8 divide n(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 20 = p, 2*t + t - 5*p - 32 = 0. Suppose -t*x - 72 = -3*h, h - 10 = 2*x + 14. What is the smallest common multiple of h and 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7536 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 227, 321, 147, -427, -1533?\n\"Answer: -22*b**3 - 2*b**2 + 254*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 7*k + 3726. Let y = 239 + k. Find the common denominator of -109\/24 and y\/231 + (-2 - -5)\/(-3).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s + 2. Let x(k) = -3*k**2 - 1123*k - 6. What is -3*f(h) - x(h)?\nAnswer: 3*h**2 + 1114*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.6 + 0.9. Let d = 1 + b. What is the biggest value in 2, 4\/3, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1346820420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-1.068.\nAnswer: -8.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76543 or 76541?\nAnswer: 76543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131*d**2*z**3 + 6*d**2 - 3*z**4 + z**2 - 10*z wrt z.\nAnswer: -786*d**2 - 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -387, 1, 40, -2, -3, 2 in increasing order.\nAnswer: -387, -3, -2, 1, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -20*y**3 - 3*y**2 - 4*y + 3. Let t(x) = -22*x**3 - 2*x**2 - 4*x + 4. Let b(q) = 3*l(q) - 2*t(q). List the prime factors of b(-2).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (446453\/(-59))\/161*1?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2. Let m(u) be the second derivative of u**4\/3 + 433*u. Give m(i(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 104, 82, 46, -10, -92, -206, -358?\n\"Answer: -t**3 - t**2 - 12*t + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((42\/(-18))\/((-4)\/24*2))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 95604\nAnswer: 95604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4.9716 * -377.6\nAnswer: 1877.27616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 10*a - 6. What is z(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -542 or -550?\nAnswer: -542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**6\/10 - 3*t**5\/10 - t**4\/4 + t**3 + 7*t - 6. Let h(l) = 0. Calculate l.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9053\/37083 + -43\/141. Let q = -16395\/5786 - w. What is the common denominator of 59\/14 and q?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*b = -3*i + 38, 4*i + 62 = -b. Let u be ((-1)\/3)\/(((-35)\/i)\/(-7)). Solve -2*g - 3*z - 26 = 2*z, 5*g - 4*z - u = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0538147 or -8\/27?\nAnswer: -0.0538147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/1 - ((-1034)\/(-37) - 19)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/30*112\/(-56)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (-1)\/3)\/(1\/(-3)). What is the nearest to 0.1 in -1, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -2091599?\nAnswer: 4\/2091599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 631 - 1325. Let l = k - -1606. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c\/(c\/(c\/((c\/c**20*c)\/c))))*c**(-5) assuming c is positive.\nAnswer: c**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37379\/54416 - 2\/3401. Suppose 15*q - 20*q + 3*o = -40, -3*q + 24 = 2*o. What is the common denominator of j and ((-696)\/(-180) + q)\/((-12)\/5)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -362*s - 2638 + 704*s**2 - 62*s**2 + 2638 + 147*s**2 wrt s?\nAnswer: 1578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0*t - 1\/3*t**3 + 3*t**2 + 1\/24*t**4 - 10. Determine h(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2979, 90, 521 in ascending order.\nAnswer: -2979, 2, 90, 521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1645 = -9*p + 2*p. Let 13 + 11 + 23 - 260*o + 410*o**2 - 7 - p*o**3 + 45*o**4 = 0. Calculate o.\nAnswer: 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2956\/819 - -82\/63. Is -2 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 5. Let k(p) = 2*p + 9. Let s be 0\/5 + 7\/1. Calculate s*h(z) + 4*k(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 0, -30, -3141 in descending order.\nAnswer: 21, 0, -30, -3141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 49*b + 176. Calculate j(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3084359898 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 6*u**2 + 4*u. Let w(h) = -2*h**2 - 3*h - 3. Let k be w(-2). Let x be b(k). What is the first derivative of 0 + 0*j**4 - 1 + 0 + x*j**4 wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -8, -1 = -4*b + j + 11 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**2 - 6*a - 3. Let b(g) = -6*g**2 - 7*g - 4. Let o(m) = 3*b(m) - 4*h(m). Let v(u) = 3*u - 16*u + 2*u**2 - 11*u**2. What is -26*o(p) - 6*v(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 467867\/4 - 2421273\/20. Let s(a) = -a**3 + 11*a**2 - 3*a + 11. Let m be s(-13). Let b = m + g. Find the common denominator of -31\/22 and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59152549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 54609873 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52260, 104518, 156776, 209034, 261292, 313550?\nAnswer: 365808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 6 (c) 3 (d) -0.011 (e) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 775448 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9022, -5, -3, 2, 0, -2 in descending order.\nAnswer: 9022, 5, 2, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-30))\/((-28)\/140)*126\/(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -174 times -32\nAnswer: 5568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -135, -2 in descending order.\nAnswer: -2, -29, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 477 - 475. Suppose 3*l = 5*d - 1301, 2*l - 3*d + 879 = -z*d. Which is greater: l or -443?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**3 + 5*f**2 - 12*f - 12. Let n = 720 + -716. Is u(n) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 13*l + 32 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 223*i**2 - i**3 - 222*i**2 - 3*i**3 to t*i**3 + b*i**2 + d + n*i and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 20*h + 23. Suppose m + 50 = w + 3*m, -h*m - 73 = -2*w. Calculate the greatest common factor of 44 and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5188693 by -146.\nAnswer: -5188693\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3 + (-65)\/15 + 198\/30.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, 37, 25, -2, 0.4.\nAnswer: -83, -2, 0.4, 25, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 1 + 5. Let b be 3\/(-9)*0 - 1. Let t be ((-2)\/3)\/(b\/(-6)). Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -1550, -11, 3, 1, 1\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229248220.\nAnswer: 2, 5, 41, 279571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 231\/22*80\/24 + 8. What is the highest common divisor of 12169 and a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3645)*1 + sqrt(3645))*-2 + 2)**2 - (sqrt(10) + (sqrt(90) - sqrt(10))*-4)\/(-6*-2*sqrt(2)).\nAnswer: -5177*sqrt(5)\/12 + 58324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3077892 (base 11) to base 15.\nAnswer: 723271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 22 + z**2 - 56 + 19 + 6*z + 0*z**2 + 14. Let a = 6 - 12. Determine m(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 + 44 - 3*f**2 - 109)*(7 - 7 + 4*f)*(-1 - 2 + 1).\nAnswer: 24*f**3 + 96*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*f - 2*f - 3808, -5*x = 4*f + 3808. Let q be (-6)\/10*f\/(-48). Let y = 23\/2 + q. What is the closest to 1 in -0.25, y, -2?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1062\/472)\/(6\/(-8)). Let y = 13 + -22. Let j be -5*((-8)\/(-10) - 0). Sort j, d, y in ascending order.\nAnswer: y, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 84*n = 445, 3*i + 493*n - 490*n = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 630 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cecececeeewww. Give prob of sequence wcwe.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-7)\/20)\/(((-285)\/(-76))\/(-15)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 41*z**3 + 4*z - 4. Let s be p(1). What is the greatest common factor of 41 and s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -47*m - 331. Give c(5).\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 12*y**2 + 11*y - 9. Let r be f(-11). Calculate the remainder when 158*r\/(-4)*8\/36 is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396 + -345 - (5 + (-6)\/6).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((-6)\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10133024 (base 5) to base 12\nAnswer: -403b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404866149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 2) + -2 + 8 + -11 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14 - 13)\/(2\/2). Let g be 9\/10 + (-6)\/12. Is g at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 8:05 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + (5 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 46981*f**3 + 1. Let u be g(1). Suppose u = 3*p - 22018. What is p rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -106 or -213\/2?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 5973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13359 - -24555. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713587178.\nAnswer: 2, 356793589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = i - 17, 3*k - 17 = -2*i - 2*i. Let a(x) = -105 - 5*x**i + 105. Let w(n) = 3*n. Let d(b) = -2*b. Let o(m) = -8*d(m) - 5*w(m). What is o(a(v))?\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**7\/945 - z**6\/540 + 4*z**5\/135 + z**4\/9 + 41*z**2\/2 - 2*z + 27. Let n(i) be the first derivative of v(i). Factor n(m).\nAnswer: -2*m*(m - 3)*(m + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 4*f + f)*(4 + 4 - 5)*(3 - 2 + 1)*(20*f + 6*f - 5*f).\nAnswer: 126*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c - 2. Let x be (1 + -5)\/(1\/1). Let m be d(x). Let p(v) = v**2 - 5*v + 4. Let t be p(5). Solve -2*h - t*u - m = 0, -5*h + 2*u = u - 19 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 + -102. Let w be i\/6*-1*(0 + 70). Suppose 3*b = -4*b + w. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b**2 - 12*b + 1. Let w(m) = -m**2 + m - 1. What is l(y) + 6*w(y)?\nAnswer: 2*y**2 - 6*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 - 9*z**2 - 8*z + 9. Let f(x) = 6*x**3 - 26*x**2 - 23*x + 26. Let h(j) = 6*f(j) - 17*r(j). What is the units digit of h(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from uedekbyku?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*f = -15, -f = 5*q - 10. Suppose -436 = -4*n - q*h + 174, -5*h + 452 = 3*n. What is the highest common divisor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 201*w + 5798 + 211*w + w**3 + w**2 + 152*w + w**2 - 3*w wrt w.\nAnswer: 3*w**2 + 4*w + 561","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(242\/33)*-46*(-20)\/79350\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 337322 and 2972.\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g**2 - 257*g - 255*g + g**3 + 137*g**2 + 783*g - 271*g.\nAnswer: g**3 + 117*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 + l**4 - l**4 + (2*l**3 - 3*l + l**2 + 3*l)*(3*l + l - 2*l).\nAnswer: 2*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*d + 355 = 80, y = 2*d - 55. Let b be 1\/2 + y\/(-10). What is the highest common factor of b and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364476 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/8 of a tonne?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1143002864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99.0118 - 99. Let l = s - 0.0118. Are l and 2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -7. Let u be 0\/((-2 - (-2 - -1))\/(-1)). Solve u = -i*t + 19 - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 105*y**2 - 77*y - 59. Is j(26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18725372\/3 or -6241792?\nAnswer: -18725372\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 89 in 5, -0.077, 0.3, 0.05, -2\/29?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -994*z - 510*z - 37*z - 992*z as r*z + i and give r.\nAnswer: -2533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 6, y: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21520 + 1?\nAnswer: 21521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -2 + 2 - -491. Let o = 2965\/6 - f. What is the common denominator of -2\/3 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 + 11*c + 9. Let x be u(-7). Suppose -72 + x = -b. Let q be 10\/4*(b\/15 - 2). Solve -q = -2*o + 6*h - 2*h, -3*o + 2*h = 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -57*u**4\/2 + 1485*u**3 - 16572*u**2 + 1728*u = 0. What is u?\nAnswer: 0, 2\/19, 16, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 + 10*v**2 - 28*v - 151. Let g be c(-6). Let n be -1*(0\/2 - 137). Let d = n + g. What is the remainder when d is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 3*r + 21. Let u be (-3)\/(-7) - (-45)\/(-7). Let y = -5 - u. Calculate the greatest common factor of r and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -3.4. Let o = 4 - j. Sort o, -3, 1\/6.\nAnswer: -3, 1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**2 + 158*x + 47. Let s be r(39). Let o be (s\/(-50))\/(2\/4). Which is the closest to 4? (a) 5 (b) -2\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let k(r) = 7*r + 217. Let f(t) = 6*i(t) + k(t). Let c be f(0). Let p = -1522\/7 + c. What is the nearest to 0.1 in 1, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4101 - 107053.91\nAnswer: -107054.3201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 340?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/10 and -91\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 28 = -16*m + 15*m, 40 = m - 5*j. Solve 2*x - 15 = -3*v, 5*v + 6*x - x - m = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 1:21 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 38.82253 centimeters?\nAnswer: 388225300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 507 divided by -12.\nAnswer: -169\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -9*k - 105, 3*k - 147 = -2*k - 4*h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -6\/7 (c) -0.4 (d) 110844 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*s + 12 = -167*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/1232*11)\/(4\/((-6)\/3))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4664110 rounded to the nearest one hundred thousand?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1637*r**2*u**3 + 166*u**3 + 8*u**2 wrt r?\nAnswer: -3274*r*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-306)\/(-1496) + (-24)\/32?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -79, -117, -153?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 8*i**2 - 6*i - 22. Let c be v(9). Find s, given that -93*s**2 - 8*s + 98*s**2 + 3*s - c*s = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**7\/840 + n**6\/240 + n**5\/60 + 3*n**4\/4 + 14*n**2. Let o(a) be the second derivative of v(a). Calculate o(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 940\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65539.\nAnswer: 65539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 55*r**4 + 9*r**3 + 3*r + 543. Let o(t) = 2*t**4 - 4*t**3 - t. Let s(v) = -3*o(v) - z(v). What is the derivative of s(k) wrt k?\nAnswer: -244*k**3 + 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1286040 and 150.\nAnswer: 6430200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26\/7 in -0.3, -26311, -4, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**3 - 8*t - 9*t + 17*t.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2025*(-1 + 2 + 1425\/225)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 8*z + 19. Let r be s(13). Let t(n) = -2*n + 1. Let w(v) = -189*v + 84. Let q(m) = r*t(m) - w(m). Let g(i) = i. Calculate g(q(a)).\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2 + 6. Suppose -18 = -3*q + t*w + 11, -2*q = 3*w + 9. Let u be (-2)\/1 - q\/(-1). Which is bigger: 3 or u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -291 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8\/9 - -49\/45. Let o be (-6)\/4*(-20)\/225. Sort x, 3, o.\nAnswer: o, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2312774923 to the nearest integer?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b**3 + 66*b**3 - 93*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3507*t + 1776*t - t**3 - 68 + 1795*t - 13*t**2 = 0.\nAnswer: -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8933612291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210\/(-15) - 42864\/(-3072)?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191 = 17*b + 6*b + 76 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 4*w + 1 = -9, 20 = -4*v - 3*w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + k - 8. Let x be k\/6*2\/8. Let o = 0.285 + -0.085. Which is the second biggest value? (a) o (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) - (-9)\/6. Suppose -5*j + 18 = y*b, 0*j = j - b + 2. Solve -4*r + 14 = j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 33 - 39*b**2.\nAnswer: -39*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 36815 = -21*t + 186313. What is the thousands digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 16. Suppose -s*u = -6*u - 40. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/13 - 854246*x\/13 + 328560.\nAnswer: -2*(x - 5)*(x + 427128)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 11:42 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -33. Let t be 7\/(-70) - 81\/(-210). What is the nearest to t in 1\/6, p, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 166*g - 40 = 2*x + 162*g, -6*x + 4*g = 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2940 = -352*t + 58*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*3\/((-108)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + t**2 + 13*t**4 + 15*t**4 - 26*t**4 + t**3 to q*t + l*t**3 + w*t**4 + y*t**2 + i and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 43. Factor 0*y**2 + 0*y**p - 2\/5*y**5 - 2\/5*y + 0 + 4\/5*y**3.\nAnswer: -2*y*(y - 1)**2*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 45016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 361 + -120 - 104 - 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11117 divided by 3091?\nAnswer: 11117\/3091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) 10791 (c) -1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {e: 3, c: 2, j: 1, p: 2, v: 3, d: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 564 and 13568?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4301 - -2807. Let s = u - -1493.201. Round s to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*d + 4176 = -8595 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6\/(-45) + (-5520)\/(-900) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/4 of a week?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -52*h**2 + 45079*h + 45079. Give z(-1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.545 * 724.\nAnswer: -394.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*i**4*w + 3*i**4 + i - 189*w - 3 wrt i.\nAnswer: -32*i**3*w + 12*i**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2408 + -2402. What is the remainder when (-8 + 17)*-6*(-6)\/4 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 13*u**2 - 14*u + 14. Let y be l(12). Let f be -1 + -2 - (y - (-2 - -3)). Solve -2*d - 3*v - 11 = 0, -v - f = 4*d + 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-128715)\/63 + (168\/49 - 4). Let f = -2069 - c. Which is bigger: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a - 38. Let v be o(-10). What is the units digit of 6\/24*v - (-474)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8747.858 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*g**3 - 35*g**2*o + g*o - 189*g - 2*o - 1 wrt g?\nAnswer: 288*g - 70*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + 6)\/(1\/5). What is the third derivative of -2*f**2 - f**2 - u*f**4 + 99 - 99 wrt f?\nAnswer: -120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 318*l - 124*l + 114*l in the form o*l + q and give o.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-765 - 108*k**2 + 765)*(-4*k - k - 2*k)*(-5 + 3 + 1).\nAnswer: -756*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -4. Let v = 14.3 - 14. Which is the nearest to 2? (a) -3\/8 (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9017.\nAnswer: 71, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9*7\/(63\/12). Let z = -11 + a. What is the smallest value in z, 4\/3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 101914 or 2\/63?\nAnswer: 101914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*3156\/(-432) + (-188)\/36 + 5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from mmbaooz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6487.55us to nanoseconds.\nAnswer: 6487550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 967*a**3 - 1191*a**3 + 11922*a**3 + 10225*a**3 + 0 + 1.\nAnswer: 21923*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/((-21)\/42).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/10)\/((-3)\/8). Let o(j) = -2*j + 6. What is o(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**7\/189 - 2*w**6\/135 - 2*w + 10. Let c(k) be the first derivative of t(k). Factor c(y).\nAnswer: -2*y**4*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/6*q**2 - 1\/3*q**3 - 1\/3 - 1\/6*q = 0 for q.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121100211 - 2?\nAnswer: 121100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(110)\/(sqrt(11) - sqrt(99)))\/sqrt(2))**2.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/19 (b) -0.3 (c) 5 (d) -235\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1276898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -549148*s**3 - 2196596*s**2 - 2196608*s - 16 = 0.\nAnswer: -2, -1\/137287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 12, p: 4, q: 4}?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, -3, 1.\nAnswer: -113, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3)*c**(10\/3)\/c*(c*c**(-3)*c*c)**(2\/33))**(-46) assuming c is positive.\nAnswer: c**(-230\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 198\/495 + 12\/5 + -3. What is the biggest value in -9.8, -10, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 6658.\nAnswer: 745696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2537 - 6.7045447?\nAnswer: -2543.7045447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - h. Let j be i(1). Suppose j = 3*r - 5*r. Solve r = -3*o + 5*f + 2 + 19, 2*f + 6 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -176977 and -67?\nAnswer: 11857459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27290 is divided by 1705.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8384 - -0.11789265?\nAnswer: -8383.88210735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15932 from -3484374.4.\nAnswer: -3500306.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**2 + 2*i**2 + i**2 in the form g*i + h + t*i**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (3 - -9) - 7 - 10.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002612775 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*v + 111, -3*z - 105 = -5*v + 2*z. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45201252983 + -45201098768.499965. Let r = h + -154215. Let p = -0.5 - r. What is p rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from {a: 1, i: 2, m: 2, r: 2, c: 1, t: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3511985 hours to nanoseconds.\nAnswer: 1264314600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 712033 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1454751?\nAnswer: 3, 161639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34, -73, -98, -103, -82?\n\"Answer: b**3 + b**2 - 49*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 129931990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225861214?\nAnswer: 2, 137, 239, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5385 and 10706457.\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/10)\/(((-10854)\/315)\/(-18)). Is -1 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/10)\/(-1) + 628\/(-5). Let s = m + 129. Calculate the highest common divisor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(-18) - (-3)\/(9\/113) and -38\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(6\/11)*y)*y**(-2\/9)*(y\/(y\/(y\/(y**(-4\/13)*y*y))))\/(y*y*y\/(y\/y**(-6))*y))**(3\/7))**(-21) assuming y is positive.\nAnswer: y**(-2099\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 85 = 3*y, -2*y - 2*v + 52 = -0*y. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 9. Suppose 3 = -3*q - 0. Let a(h) = -h**3 - 2*h**2 - h. Let t be a(q). What is the units digit of j(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 5*f + 19, -53 = -3*i + 2*f + 69. Calculate the remainder when 84 is divided by i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -13. What are the prime factors of ((-6)\/4)\/((-6)\/f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(24)\/(sqrt(8)*-1))**2 - (4 + (1*(sqrt(3) + 1))**2))*5.\nAnswer: -60*sqrt(3) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -17242628 (base 9) to base 8\nAnswer: -40775230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 23. Suppose -3*c - u = -2*c + 13, 5*u + 49 = -k*c. Which is greater: -9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583426 is divided by 4702.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*(sqrt(153) + -3) - sqrt(153))*2 + 4)**2*-6*6.\nAnswer: -890496 + 134784*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3005.673 millilitres in litres?\nAnswer: 3.005673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 16. Suppose -3*k = -2*a - f, 0 = 3*a + 2*a - 20. Let v(s) = 2*s**3 - 3*s**2 + 2*s + 2. What is the smallest common multiple of k and v(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 14*l**2 + 8. Let v(s) = 0*s**2 - 9 - 8*s**2 - s**2 + 4. What is -5*k(f) - 8*v(f)?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.46 - -0.46000556. Round c to 7 decimal places.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2299, 3102, 3915, 4744, 5595, 6474?\nAnswer: 7387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833)*-1 + 0 + sqrt(833).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 624577080?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + sqrt(343) + -1 + sqrt(343) + -2 + 4 + 1 + sqrt(14)\/sqrt(2))**2.\nAnswer: 88*sqrt(7) + 3392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(152)*-6 - sqrt(152))\/(sqrt(288) + 2*sqrt(288) - sqrt(288)) + 3.\nAnswer: -7*sqrt(19)\/12 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6109, -12234, -18357, -24478, -30597?\n\"Answer: o**2 - 6128*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*f = -47*f - 900 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**2\/2 - u - 1. Let g be -2*9\/(-6) + 5. List the prime factors of o(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t**2 - t + 3. What are the prime factors of z(4)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*h + 5*h - 12 = 0, -4*x + 4*h = -24. Let a = x + -13. Let w = a + 15. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o. Suppose 7*c - 4*c = -z, -c = 4*z. Let y = 10 + -7. Let u(m) = z + 4*m - 3 + y. Determine d(u(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.8148 - -7.814839411. Round k to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/210*6)\/((-2)\/14). Suppose 5*n - 9*n + 382 = 2*f, -t*f + n + 407 = 0. What are the prime factors of f?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 1522 in increasing order.\nAnswer: -4, 3, 1522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/(-6) - 7\/14. Suppose -2*m - d*f = -f - 9, 2*m + 5*f = 11. Solve m*a - 23 = -i - 4*i, 2*a = 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 12. Suppose 4*z + 4*s = -0*z + 76, 2*s - 8 = n. What is the highest common factor of 10 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 142 + -189 - (-23 - -3 - 0)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.89 - -1.29. What is the nearest to -8 in -5, q, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67986 - 53608 = -158*k for k.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2345*p - 2344*p - 9158. Is p a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -1\/9 (b) 3 (c) 16.4 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.379 (b) 3 (c) -13 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/4 - 141*p**2\/4 + 627*p\/4 + 765\/4.\nAnswer: -3*(p - 5)*(p + 1)*(p + 51)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.171578 centimeters in nanometers?\nAnswer: 21715780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -23*v**2 + 434*v. Let c(y) = 11*y**2 - 219*y. Let b(r) = -5*c(r) - 2*k(r). What is the second derivative of b(n) wrt n?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-6)*(1 - 1). Suppose 4*p - 2*p = 10. Suppose -p*a - 9 = -8*a + 4*f, a + 3*f - 3 = x. Calculate the remainder when a is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2829 is divided by 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -200842?\nAnswer: 200844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 17\/35*k**5 - k**4 - 4\/7*k**2 + 22\/21*k**3 + 42 + 1\/7*k - 2\/21*k**6. Suppose m(n) = 0. What is n?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, 1, 4, 3 in ascending order.\nAnswer: 1, 3, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 12 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*l + 1 = n, 0 = -4*l - 8. Let c(z) = 5*z + 25. Let t be c(n). Suppose t = -2*i + 856 - 326. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6197*y**2 + 7352420*y**3 + 1265*y**6 - 7352420*y**3 wrt y?\nAnswer: 151800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*c + 2224 - 35 = -364. Solve c*t = 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10634, 21137, 31640, 42143, 52646?\nAnswer: 63149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6*f. Let p be s(-1). Let u be (-2)\/p - (-82)\/6. Let d = 45 - u. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from ffuu?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2148 (b) 1.4 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 44*l. Let f(x) = -5340*x. Determine o(f(p)).\nAnswer: -234960*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 8, -3 in increasing order.\nAnswer: -3, -1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -287 + 230. Let s = i - -63. Solve 0 = -s*l + 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75 and 26.\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 2, l: 6, w: 1, v: 1, j: 5}. What is prob of picking 1 w and 1 u?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + sqrt(108)*1*5 + -5 + (sqrt(108) - 1*sqrt(108))**2 + -1*(sqrt(108) + -1 + -2 + sqrt(108) + sqrt(108)).\nAnswer: -2 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/(-1560))\/((-18)\/(-16)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5879 - 5704. What is the greatest common divisor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32909 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.67756cm to nanometers.\nAnswer: 16775600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33133 * 0.03.\nAnswer: 993.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 14*t**2 + 9*t - 15. Is m(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9750 and 9225.\nAnswer: 1199250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -122157.912 + 0.209\nAnswer: -122157.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 8*x**2 + 7*x + 3. Let c be l(7). Let n(m) = -m**2 - 3*m - 2. Let w be n(-2). Sort 2, c, w.\nAnswer: w, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -67*i**2 + 4. Let c(h) = -17*h**2 + 1. Give 26*c(z) - 6*m(z).\nAnswer: -40*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**2*v**3 - 103*k**2*v + 119*k*v**5 wrt v.\nAnswer: -6*k**2*v + 2380*k*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**4 - r**3 + r**2 + 1. Suppose -5*h + 4 = -11. Let j(c) = 4*c**4 - 3*c**3 + 3. Let g(t) = h*k(t) - j(t). Find the third derivative of g(z) wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**4 - 5*a**4 + 4*a**4 + (-3*a**4 + 4*a**4 - 3*a**4)*(10 - 13 - 10) - 4*a**4 + a**4 + 2*a**4 in the form r*a**3 + m*a**4 + t + j*a**2 + q*a and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2\/4 - 1019*u\/4 + 28971\/2 = 0.\nAnswer: -1073, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -709, -709, -707, -703?\n\"Answer: v**2 - 3*v - 707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -13*m**8\/336 + 7*m**4\/6 - 4*m**2. What is the second derivative of c(k) wrt k?\nAnswer: -260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = -18*h + 527 - 119 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*q**2 + 2642 + 2648 + q - 5288 + 0*q**2 - 3*q**2 + q**2 + (-3*q - 2*q + 3*q)*(q - 2*q + 2*q) to o + z*q + i*q**2 and give i.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12293*n + 23270*n + 24940*n.\nAnswer: 35917*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 7, -3, 3\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -476 + -454. Let g = -931.017 - x. What is g rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 12:51 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4022 + 4025. Put 5\/3, t, 8\/9, -0.1, 4\/3 in ascending order.\nAnswer: -0.1, 8\/9, 4\/3, 5\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5346 and 178362.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62.2 - -70. Let p = a + -2. Round p to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -179 + 7*j**4 + 11*j + 179 wrt j?\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -j - 7, 0*z - 3*j - 1 = z. Find the second derivative of d - z*d + 3*d**5 - d**5 wrt d.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 34555*r**2.\nAnswer: -5*r**2*(r + 6911)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225879.\nAnswer: 3, 17, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(((-35100)\/24705)\/130)?\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/91)\/((-39)\/(-182)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwttww. Give prob of picking 4 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3016431 + 2164?\nAnswer: -3014234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10258 - 10254. Calculate the smallest common multiple of 154 and s.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - 4*r**2 + r + 3*r**2 - 607*r + 607*r - 11*r**2 + (-65 + 157 - 77)*(r - r + r**2).\nAnswer: 5*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/947 in 15, 4, 2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 472148302*s**3 + 166317677.\nAnswer: 1416444906*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 98?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 675468 by -2.\nAnswer: -337734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 1\/19, -20, -1\/3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 7*r + 15. Let i be g(3). Let v(h) = -4 + 1 + 3*h + 2 + 4. What is v(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 6 + 3. Let v(y) = 6*y - r*y - y. Let p(n) = -11*n**2 + n - 1. Let f(t) = -2*t**2 - t + 1. Let s(c) = f(c) + p(c). Determine v(s(u)).\nAnswer: -26*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 4*w - 14419 + 14443, -3*w = -11*c - 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322128 = 17*w + 322774 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 + 41 - (-9 + -4)) + -19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28a5a - -3212?\nAnswer: -25848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 12*g + 22. What is the units digit of m(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65564043 (base 7) to base 8.\nAnswer: -25362643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 3. Let k be u(5). Suppose 5*l = -5*r + 27 + 33, l - 60 = -5*r. Solve 2*c + r = -2*c - k*x, c + 8 = 2*x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25474171*v + 25473667*v - 14112 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/(-1512) - ((-33)\/24 + 1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/24*-18)\/(24\/16). Let c be 2\/9 + 68\/18. Solve -4 = -c*x - o*b, -2*b - 3*b + 21 = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68.32 - -0.32. Let z = -68.53 - f. What is z rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7096579 is divided by 105919.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181 + 181 - 75616*t - 16797*t.\nAnswer: -92413*t","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15756, 31741, 47704, 63633, 79516?\n\"Answer: -2*j**3 + j**2 + 15996*j - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4525341131 from 70.042.\nAnswer: -4525341060.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0*w - 28 - 25 - 10*w.\nAnswer: -10*w - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3206724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 112*b - 425. Calculate t(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -714 by -6.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7445426.\nAnswer: 2, 3722713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17735843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n. Suppose -3*u = -5*u. Suppose -g = -u - 3. Let t(z) = -g*z**2 + 11 - 11. Calculate w(t(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 418010 and 4723513.\nAnswer: 47235130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 54*w + 163. Let x be o(-3). Let h = -6.2 + 6. What is the closest to x in 3, h, -11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -5*k - 1\/3*k**3 + 0*k**2 - 1\/12*k**4 + 0. Let g(y) = 0. What is y?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 19 + 5*z + 7*z to the form t + q*z and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-205)\/(-41)*4\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11010100011101000 (base 2) to base 5\nAnswer: 11440101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**2 - 166*r + 34. What is the thousands digit of p(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 2. Let t be j(-6). Suppose -11 = -5*k + 9. Let l be 35 + (-35)\/(1 + 6). Solve -k*g - l = 5*a + g, 5*a + t*g = -28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50926*a - 106*a**2 - 8*a**4 - 4*a**5 - 50926*a wrt a.\nAnswer: -240*a**2 - 192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2635640503.\nAnswer: 359, 7341617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -46. Let u(h) = -5*h + 7*h**2 - 6*h**2 + 145 - 133. Determine u(b).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 13*v**4\/3 - 5*v**3\/6 + 2*v**2. Suppose -9*f + 7 = -11. Is h(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -238400 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - 724d079?\nAnswer: -724d083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**3\/6 - j**2 - j. Let r be b(-5). Solve 2*m - 4 = 2*p, -1 = -r*p - 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + 3*q + 2. Let g(p) = -6*p**2 + 8*p + 6. Suppose -48*n + 1082 = 794. Determine n*g(v) - 17*j(v).\nAnswer: -2*v**2 - 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/10 + 643971*t**2 - 5183736330366*t\/5 + 10367459781316\/5.\nAnswer: -(t - 3219854)**2*(t - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6280.82 minus 3?\nAnswer: -6283.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 429*k**3*x - 2314*k**2*x + 3*k - 1011561*x + 45 wrt k.\nAnswer: 1287*k**2*x - 4628*k*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, w: 3}. What is prob of picking 3 w?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(280) - -2*sqrt(280))*-1 + sqrt(280))\/(sqrt(10) + 2*sqrt(10)*-4 + sqrt(10)) + sqrt(112)\/sqrt(4) + -2 + (sqrt(4032) - (sqrt(4032) + 2))).\nAnswer: -12 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*a + 2*w, 0 = -2*w + 3 + 7. Suppose -28*t + a = -17. Let b(f) = 8*f**2 - f - 1. What is b(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0\/(56\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3055*l + 34. Is u(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*l*s**5 + l*s**4 + 2*l*s**3 + l*s**2 + 1717*s**2 wrt s.\nAnswer: 2460*l*s**2 + 24*l*s + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -1\/7 (c) 0.0294\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 - 9*c + 52)*(-c + 2*c - 4*c)*(-3*c**2 - 1 + 1) + (0*c + 5*c - 3*c)*(-3*c**3 + 2*c**3 - c**3).\nAnswer: -85*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.62, 84.5, -0.2 in increasing order.\nAnswer: -0.2, 1.62, 84.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -851857, -1703729, -2555601, -3407473, -4259345, -5111217?\n\"Answer: -851872*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*(-4)\/(-40)*1)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 8*k + 6. Let f(r) = 2*r - 6. Let v be f(4). Suppose -v*x + 13 = -3. Calculate the remainder when p(x) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/5 + (0 - 1). Let s = -25.7 + 20. Let j = s - -3.7. What is the biggest value in y, 2, 0.5, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Solve -v*h - h = 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 23*f**6\/6 - 23*f**2\/2 - 2. What is the second derivative of d(h) wrt h?\nAnswer: 460*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1 = -7. Suppose 2*v = -r*v + 12. Let q(f) = f**3 - 5*f**2 + 3*f + 3. Let j be q(4). Put -3, v, j in descending order.\nAnswer: v, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1 - l**2 - 2*l**2 + 2*l**3 - 144*l + 148*l - 2*l**2 - 4. What is s(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 5*i + 13 = 0, -2*i - 42 + 12 = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 36 = -11, 3*c + 2*h - 28 = 0. Let x = 1760 - 1748. Calculate the least common multiple of c and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1823560740 rounded to the nearest 1000000?\nAnswer: -1824000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25335 - 92371409\/3646. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/2))**(-7\/11)\/(u**(-4)\/u**1))\/((u**(-3\/4)\/u**(-5))\/(u*(u\/u**2)\/u*((u*u**(-2))\/u)\/u*u*u*u)) assuming u is positive.\nAnswer: u**(-25\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 328*m**3 + 948*m**2.\nAnswer: 4*m**2*(m + 3)*(m + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 0.05608.\nAnswer: 0.022432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 24 = 3*d, 6*a + d = 4*a + 14. Suppose -2*k + a = -0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60268*c**3 - c**2 + 4732*c wrt c.\nAnswer: -361608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23089, 22506, 21533, 20170, 18417, 16274, 13741?\n\"Answer: -195*v**2 + 2*v + 23282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46538141071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.54? (a) -7 (b) -18\/5 (c) 0.0693\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -315 + -2?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (196\/182)\/((-712)\/50908).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 844874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Let i(u) = 8*u**3 + 1264*u**2 - u - 162. Let b be i(-158). Put b, -0.03, 0.2, z in decreasing order.\nAnswer: z, 0.2, -0.03, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 7*x + 8. Let m be r(-8). Suppose -5*l + m = -10. Differentiate 1 + 4*y + l*y - 5*y - 3*y wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35 + 35 + 19*a + (1 - 1 + 3*a)*(-1 - 4 + 3) + 3 - 3 + 2*a)*(21*a + 5*a - 10*a) - 97 + 2*a + 3*a**2 + 97 in the form y*a**2 + m + s*a and give y.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + 24*f. Let y be r(-12). Solve -g + 4*g + 15 = y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 3*o**2 - o**2 - 2*o**3 + 5 to x*o**2 + z + g*o + a*o**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*1*(11 - 1). Let r be (-32)\/(-5) - (-8)\/m. Solve r*u - 9 = 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 274165801?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -32508 (base 13) in base 16?\nAnswer: -16332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*l + 18. Let n(h) = -h**2 + 19*h - 81. Suppose 2*f = -4*i + 110, 5*i - 68 = 3*f + 53. What is the remainder when i is divided by n(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3003433*l + 9010284. Give n(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118 + 114. Calculate the remainder when 122 is divided by 57 + ((-54)\/u)\/(-9)*2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7955 and 45?\nAnswer: 71595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-36) + (-34)\/12. Let u = -7.73 + 7.73. What is the fourth biggest value in 0.06, u, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36294)\/(-161) - 3\/7. What is the highest common divisor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 153 + -313\/2. Calculate the common denominator of x and -39\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from qaajaaqajjajaa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + (-3 + (-1 + sqrt(242))*1 - (-1*sqrt(242)*-4 - (1*sqrt(242) + sqrt(242))*-6))))**2.\nAnswer: 26400*sqrt(2) + 871600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 12:41 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -97110349 divided by 7\nAnswer: -13872907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 6*l**2 + 16*l - 16. Give r(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113040, -113043, -113046?\nAnswer: -113049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153 (base 11) to base 7.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 658598444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/6 + 2\/3. Let g = 14 - 10. Let n(j) = -j**3 + 4*j**2 - 4. Let u be n(g). Sort 1\/2, a, u in ascending order.\nAnswer: u, a, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26506367 to the power of 1\/2, to the nearest integer?\nAnswer: 5148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 0*a**2 + a**2)*(-4*a - 3*a + 3*a).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 381787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + n**4 + 8*n - 1 - 4*n**4 - n**2 - 9*n to r*n + d*n**2 + z*n**4 + p*n**3 + t and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -14.9, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -82, 4, -11 in ascending order.\nAnswer: -82, -11, -4, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 24\/23 (c) -3 (d) 2\/15 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/(-30)*55*2 and 44\/39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9120761 days in milliseconds?\nAnswer: 78803375.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 - 13*f. Let z(t) = -4*t**2 - 13*t. Determine 6*d(n) - 5*z(n).\nAnswer: 2*n**2 - 13*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 11:35 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s - 32 - 23 = -9*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*x - x - 10, 2*l - 16 = 3*x. Suppose -l*y = y - 210. Let o = 25 + 3. What is the highest common divisor of y and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240558611 and 1831.\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) 23 (c) -4 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + m - 2 - 1)*(-m + m + 3*m)*((0*m**2 + m**2 - 3*m**2)*(-2 + 2 - 2) - 2*m**2 + m**2 + 4*m**2).\nAnswer: 21*m**4 - 42*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 5 + 11 + 2*x. Let n be b(-8). Which is bigger: n or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6052166 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(0 + (-22)\/(-10)). Let n = 2.0615001 + -0.0615001. Let z = 8 + -5. What is the third smallest value in n, m, z, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.471262876 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13723 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + sqrt(117) + 1 + 5*(sqrt(117) + 1 + sqrt(117))*-4 + -5 + 2)**2*4.\nAnswer: 20592*sqrt(13) + 713764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 33. Solve -2*t = -2, -2*t = 5*o + 2*t + w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, i: 10}. Give prob of picking 4 i.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 964*m - 65 + 65 - 4763*m.\nAnswer: -3799*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (3\/(-6))\/(3\/(-72))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/15 greater than 13790\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87.8927 + 39728066.\nAnswer: 39727978.1073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -588, -975, -1548, -2301, -3228, -4323, -5580?\nAnswer: -6993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v*v**(-7)))\/(v\/(v*v**(1\/4)\/v)))\/(v**0*(v*v*v**4\/v)\/v))**11)**(-2) assuming v is positive.\nAnswer: v**(-99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1481*u - 1425*u - 1010919 = 1110305. What are the prime factors of u?\nAnswer: 37879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15.7 in -24, -3\/4, -0.2?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 3*p + 2647 - 715, 3200 = 5*a - p. Calculate the remainder when a is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.5852*-6.3.\nAnswer: 47.78676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 7*w = -108. Suppose 5*p + g = -4*g + 35, -5*g + w = p. Sort p, -3, -4 in descending order.\nAnswer: p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 164, 597, 1444, 2843?\nAnswer: 4932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -1)*(-4 - 16\/(-8)). What is the third derivative of 27*t**2 - 17*t**k + 40*t**4 + 3*t**4 wrt t?\nAnswer: 1032*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242604 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 995940 divided by 60\nAnswer: 16599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/((-2)\/(-14)*-2). Is (m\/9)\/((-4)\/(-978)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 4 + 2*i + 2*i**2 - 5)*(-3*i**2 - 3*i + 3*i).\nAnswer: -6*i**4 - 6*i**3 - 27*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19371, 17590, 14609, 10422, 5023, -1594, -9435, -18506?\nAnswer: -28813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 451 and 1001?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 - -98. Suppose -f*v + 83 = 68. Which is greater: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-119)\/(-105)*-3 - 12\/(-4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rai when three letters picked without replacement from asiasiiraaaaars.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 41341.4 to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -189.5\nAnswer: 189.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -164 - -165.95. Let k = -2.09 + t. Which is smaller: -3 or k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 3. Let h(z) = -z**2 + 7*z + 1. Let a be h(6). Let i = a - 10. Let u(o) = -3*o + 5. Calculate i*u(w) - 5*k(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 = 2*x. What is the third derivative of -4*h**3 - 3*h**2 + x*h**3 + 4*h**2 wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 44160.23 millimeters?\nAnswer: 44.16023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 0. Let f = -20.1 - -19.8. What is the nearest to g in 1, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*k + 5*k. Suppose 5*s - 14 = -y, -3*s + 18 = k*s - 3*y. Suppose a - 47 = 2*q, s*a = q - 3*q + 157. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 59 = 3*n, 0 = n + n - 2. Let c = -12 + g. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 - 7*j - 206. Let q(a) = 12*a**2 + 43*a + 1032. Give -11*l(w) - 2*q(w).\nAnswer: -2*w**2 - 9*w + 202","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1*6\/26). Let x be 0 + 14 - (-27)\/(-9). Which is greater: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/13047794 and 109\/1284.\nAnswer: 78286764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j = -31*j + 2. Suppose 0 = r + j*r, 3*r + 90 = -c. Let x = c - -199. What is the remainder when x is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -118 + 624*z**3 + 40*z**2 - 402*z**4 - 138*z**4 - 43*z + 106 - 69*z = 0?\nAnswer: -1\/3, -1\/9, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4865 - 4862. Find l, given that 0 + 1\/2*l**4 + 0*l + 1\/2*l**q + 0*l**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 13145399\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*a**5 - 45*a**4 - 2185*a**3 + 23582225*a**2.\nAnswer: -2520*a**2 - 1080*a - 13110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*q - u, -2*q - 1537*u = -1535*u - 14. Let n(w) = -w**3 + 8*w**2 - 8*w + 22. Calculate n(q).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 5b?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 26*s**2 - 9*s**2 + s**2. Let w(n) = 2*n**2. Calculate v(w(h)).\nAnswer: 72*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**3\/3 - y**2\/2 + 6077. Let h(a) = -7*a**2 - 2*a + 2. Give -h(r) + 5*p(r).\nAnswer: 2*r**2 - 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59501 - -2.\nAnswer: 59503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 236 = -46. Calculate the highest common factor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**5\/4 + 37*n**4\/2 - 163*n**3\/4 - 206*n**2 + 237*n + 684 = 0.\nAnswer: -76, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*d + 77 = 0, -2*d = d + 3. Let v be (-4)\/w + 56\/(-20). Let b = 3 + -2.8. Sort b, 0.4, v.\nAnswer: v, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011000110100101 - -10?\nAnswer: -10011000110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 9) to base 3.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from qzqvkqkpqpkvqq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*13\/(-42) - (-1)\/(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1477 is divided by 177?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2911, 11281, 25221, 44737, 69835, 100521, 136801, 178681?\n\"Answer: a**3 + 2779*a**2 + 26*a + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3795380 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12, -1\/48 in ascending order.\nAnswer: -12, -1\/48, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 0*y - 21159638*y**3 + 21160468*y**3.\nAnswer: 830*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -526550100 to the nearest 1000000.\nAnswer: -527000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45\/360 - ((-12)\/120)\/(8\/(-81930)). Is -7163\/7 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h = 24. Let w be ((-1)\/(-2))\/((-2)\/h). Is -1 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, c: 2, i: 2}. What is prob of sequence cii?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 50, 4, -5, -28 in descending order.\nAnswer: 50, 17, 4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1))**(-16\/7)\/((m**11\/m)\/(m**15*m)) assuming m is positive.\nAnswer: m**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -3*y**5\/5 + 13*y + 19. What is the first derivative of r(o) wrt o?\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62511 - 572*v + 62511)*(-v**4 + 0*v**4 - 3*v**4).\nAnswer: 2288*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1634409 divided by -7\nAnswer: 233487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**4\/12 - 7*m**3\/6 + 4*m**2 + m. Let x be r(7). Suppose 0 = z + 3*z + 4*n - x, 8 = z - n. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 1, y: 1}. Give prob of sequence yd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15090.23 - 15204. Let h = -114 - u. What is the biggest value in h, -5, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23632 by 1477.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*q - 52, -4*k + 5*q - 7 = -3*k. Let n(h) = -h**2 + 15*h - 12. Is 11 a factor of n(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.26.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72360 divided by -60.\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 392 and 588?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3297 - 1765. Is r\/(-6)*(0 - (-84)\/(-8)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 62. Let u(m) = -2*m**3 + 44*m**2 + 39*m - 834. Let w be u(22). Calculate the highest common divisor of p and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Suppose -t + 10 = 5. Find the third derivative of -180*r**3 + 2*r**6 - t*r**b + 180*r**3 wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -12. Suppose -5 = -g + 3*t, 3*t - 3 + 0 = -d*g. Is g smaller than 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 - 1080 + 1080 - j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(5\/21))\/1. Suppose -3*g = -u - 15. Let q = 141 + -106. Calculate the remainder when q is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -5. Let h = 152 - 151.9. Let n be 30\/77 + (-4)\/(-22). What is the biggest value in h, y, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16922376 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d + 4*d)*(-5 - 1 - 4)*(d - 1 + 1).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 323*r + 5. Let m be s(-6). Let i = 15427\/8 + m. What is the common denominator of 19\/8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -25567?\nAnswer: -2\/25567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 220146 to the power of 1\/2, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -34, -80, -144, -226, -326, -444?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -m + 4. Let i be -125*(0\/(-2) - m). Suppose 5*q - i = -18125. Round q to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 879 - 892. Let y = -0.66 - -0.26. Let a be 19\/39 + (-2)\/13. What is the biggest value in y, x, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 431 and 314885.\nAnswer: 135715435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-10))\/(4316\/(-3320)))\/((32\/(-26))\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 + 0)*(-3 - 1 + 6) - 1 - 2 - 3)*(-6221 + 45*b + 6221).\nAnswer: -90*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*2*-4 - sqrt(77) - sqrt(77)*1*-3)\/((sqrt(11) - (sqrt(11) - -1*sqrt(11)*1)) + sqrt(275)*6)*6)**2.\nAnswer: 6300\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1188 + 16601\/14. Let y = -6200\/3633 + -4\/519. Let f = y - l. What is the third smallest value in -3, -5\/2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j - 1 = 0. Let n(h) = -16*h**2 + 5*h. Let s(v) = -208*v**2 + 64*v. Let l(q) = 64*n(q) - 5*s(q). Is 9 a factor of l(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8887?\nAnswer: 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5157, 21791, 49523, 88353, 138281?\n\"Answer: 5549*u**2 - 13*u - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56555?\nAnswer: 5, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 + 28 - 12) + (2 - -3 - (15 + -8))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - -7. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95.0335849542 + 0.1073833458. Let a = y - 100.140968. Let h = -5 - a. What is h rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5433490 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 i when four letters picked without replacement from {z: 2, l: 9, c: 4, i: 4}?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1090115349 is divided by 10566.\nAnswer: 10563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190540 by -140.\nAnswer: -1361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.80524 + 2?\nAnswer: -3.80524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -39. Let b = 30 + s. Solve b = -9*q + 4*q - 3*h - 26, -4*q - h = 18 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 12:18 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/24 and 89\/70?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21259131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/11)\/(o*o**(-28)*o*o*o) assuming o is positive.\nAnswer: o**(266\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/2)\/((-38)\/109744) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3 + 23972*x**2 - 720960*x = 0. What is x?\nAnswer: -12016, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (108\/(-42))\/(6\/42). Is -15 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 4 (c) 0.123 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 + -18. Let z be -2*((-18)\/42 - 391\/(-14)). Let b = g + z. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**2\/19 - 188*i\/19 + 186\/19 = 0.\nAnswer: 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*b - 31*b + 2349 + 7137. What is the remainder when 379 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2528\/12008)\/((-4)\/608)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.17 + -0.091. Round a to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18 + -104767330.\nAnswer: -104767330.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7266092l?\nAnswer: 726.6092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + sqrt(50)*-1 + 4))**2*3.\nAnswer: -2880*sqrt(2) + 4128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**5\/60 - 648*f**2. Let z(t) = -240*t**2. Determine z(i(q)).\nAnswer: -240*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14090 or 14085?\nAnswer: 14085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + s + 70 = 0. Which is smaller: 36 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b - 18. Let q be f(7). Calculate the common denominator of (-66)\/24 + q + 29\/(-156) and -17\/33.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 311146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240403 (base 5) to base 10.\nAnswer: -8853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 11 (c) 0.04 (d) 0.4 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12569 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 11:46 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Suppose a - o = 12, -2*a - 4*o - p = -o. Find r such that 9*r**3 - a*r**3 + 4*r**5 - 10*r**4 + 4*r**5 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) 0 (b) -0.3 (c) 7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 9:33 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 3)*(d + 0*d - 4*d)*(-6 + 4 - 3).\nAnswer: 60*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*j**3*q**3 + 2*j**3*q**2 + 2*j**3*q - 436*j**2*q**2 - 19*j*q**3 + 7*q**3 wrt q.\nAnswer: 36*j**3 - 114*j + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 6:27 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 2. Let d(i) = 4*i + 20. Determine d(n) + 3*h(n).\nAnswer: n + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 105715439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -417.13 from 0.\nAnswer: 417.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 411, 413, 415, 417, 419?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 723\/583 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -71999961 <= -71999961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -578 + 722. What is the greatest common divisor of 342 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-80))\/(4\/(16\/(-10)))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is cd93 (base 14) in base 4?\nAnswer: 20230111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 119, 113, 103, 89, 71, 49, 23?\n\"Answer: -2*j**2 + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737 is divided by 6\/6 + (-138)\/(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, 1520, -14, -3 in ascending order.\nAnswer: -14, -7, -3, 4, 1520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 392 = -3*n, -3*n + 7*n - 5*r = 515. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*m**2 - 9 - 14*m**2 - 7 + 18 - 2.\nAnswer: 23*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 412, 1622, 3640, 6466, 10100, 14542?\n\"Answer: 404*z**2 - 2*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*a - 21. Let c be ((-8)\/20)\/(7\/a). Let s be 0\/(-1 + 2 + 0). Which is bigger: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 + 62 - 117)*(-2 + 3 + 1 + 2*z).\nAnswer: 8*z + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -22.8, -7, 0.015?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7511)\/(-11) - (4 + (-92)\/22). Let d = -7506\/11 + b. Which is smaller: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 5*k = -5*y + 12, 2*y - 3*k - 7 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a century in decades?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -7.4. Let c = -38.106 + 38. Let n = c + 2.106. Put -4, z, n, -5 in decreasing order.\nAnswer: n, z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -28, -52, -84, -124, -172, -228?\n\"Answer: -4*t**2 - 12*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 668*u - 16 = 666*u, -4*i - 28 = -2*u. What is the nearest to -43 in -3\/4, 1\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, l: 3, z: 2, c: 2}. Give prob of picking 3 l and 1 z.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**6\/120 - p**4\/8 + p**3\/3 - 32*p**2. Let g be f(2). Suppose 4*m = -g*m + 37688. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 0 + 2\/3*y**3 + 0*y**2 + 5\/3*y**4 - 6*y. Suppose n(k) = 0. What is k?\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 15 = r, -5*x + 3 + 2 = r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1313349 - 2*a**2 + 13*a + 1313275 + 6*a in the form u*a + z + d*a**2 and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcc when three letters picked without replacement from cccmmcmccmc.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(88)*-6 + ((sqrt(88) - (sqrt(88) - -3*sqrt(88)))*5 + sqrt(88) + sqrt(88) - sqrt(88)))\/(-5*sqrt(8)*1*-4*-5))**2.\nAnswer: 11\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293 - 294 - 33*w + 1.\nAnswer: -33*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, -54, -192, -404, -702, -1098, -1604?\nAnswer: -2232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, z: 3, g: 2}. What is prob of picking 1 m, 2 g, and 1 z?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74287 is divided by 42.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7544711 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160342, 641363, 1443064, 2565445, 4008506, 5772247?\nAnswer: 7856668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1675*c**2 - 3*c - 3. Let h(q) = 72016*q**2 + 128*q + 128. Determine -3*h(i) - 128*z(i).\nAnswer: -1648*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 18. Let x be k\/9*2\/(-5). Let i = -5.1 - -5.2. What is the smallest value in -2, x, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 + 367 + 52*w**3 + 4*w**3.\nAnswer: 56*w**3 + 263","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/15, 1\/4, 10.975, 3\/7, -14\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211202 - 12?\nAnswer: -1211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 7*d - 16. Let v be w(-12). Let h = v - 41. Suppose -73 - 353 = -h*l - 3*i, -5*l + 740 = -5*i. List the prime factors of l.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 955672857 to the power of 1\/2, to the nearest integer?\nAnswer: 30914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/40 and 29\/6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3012480 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 52749120 - 52749120.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2*2\/110)\/(3\/15)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:58 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -58*s + 4*k + 160, s - 20*k + 17*k + 47 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13221285283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 224*r**2 - 112*r**2 - 116*r**2 - 68*r = 0.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 23*i - 104*i)*(-32*i - 717 + 717).\nAnswer: 4192*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1440 and 3.\nAnswer: 4320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.5, -0.2, -115, 0.29 in increasing order.\nAnswer: -115, -2\/3, -0.2, 0.29, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39527 is divided by 13171.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1\/12, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 4*c - 400. Suppose 2*v = 15 + 21. What is the highest common factor of v and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1. Let b = 464\/35 + -82\/5. Let i = b - -20\/7. Sort s, 2\/9, i in descending order.\nAnswer: 2\/9, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13496+-0.4\nAnswer: -0.26504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 23*z**2 - 2*z - 2. Let a be 44\/(-10) - (2 - (-72)\/(-30)). Let y(c) = -15*c - 28. What is the remainder when r(-2) is divided by y(a)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13690*d + 26180*d - 12492*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 409*b**2 - 1267*b - 12797. Determine v(-412).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38002 is divided by 139?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3\/2)\/(c*c**(-3)*c))\/(c**0*c**7))**(-1\/24) assuming c is positive.\nAnswer: c**(5\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 445*r**2*u**3 - 2218629*r**2 - 209*u with respect to u.\nAnswer: 1335*r**2*u**2 - 209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-327*37)\/((-2)\/18). Suppose 0 = -3*o - 5118 + h. Let d = -865409 - o. Round d to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 15*c**3\/8 - 10787*c**2\/4 + 719*c = 0.\nAnswer: 0, 4\/15, 1438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -0.1 (b) -12\/11 (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 330\/(-45))*(-1242)\/(-63)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177.12588 times 4?\nAnswer: -708.50352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -2, 31, -4 in decreasing order.\nAnswer: 31, 17, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 117, 114, 111, 108?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -107007 divided by 221\nAnswer: -107007\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 249.5 + 895.5. Let l = c + -1145.08024. Let n = 0.08 + l. Round n to five dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*k - 3*g + 45, -2*k = -g - 5. What is the nearest to 7 in -4\/7, 19, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 14 = n + 3, -2 = -2*n. Solve -h*s + 11 = 31 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**4)*n*n)**(-27)\/((n**(-7)\/n*n)\/(n\/(n*(n\/(n*n\/n**(-9)*n))\/n))) assuming n is positive.\nAnswer: n**73","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2\/7, 2.808?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -194245301*d + 165608812 wrt d?\nAnswer: -194245301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Let m be 5\/(-2)*8\/(-10). Suppose 3*i + 17 - 56 = -3*g, -3*i = -4*g + 31. Solve u*b - g + m = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8*i**2 + 3*i - 3. Let q(t) = 3*t**2 - t + 1. Let n(z) = 11*q(z) + 4*x(z). Let w be 13\/(-5) - 33\/(-55). What is n(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 83*o + 56. Give l(41).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2310468 by 12.\nAnswer: 192539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817232 is divided by 8182?\nAnswer: 7214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - ((-2 - -7) + -20 + -22).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 17 + 5 + -7 - 44.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -118 - -475. Let g = -555 + d. Let z = g - -286. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 263*w**2 + w - 659. Let u(a) = 27*a**2. Calculate r(u(y)).\nAnswer: 191727*y**4 + 27*y**2 - 659","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -1 - ((2 - -64) + (45 - (-21 + 74))).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*j - 3*j - 2*j)*(-11 + 4 - 1) - 3 + 2*j + 3)*(4 - 3 - 3) + j + 0*j + 0*j + (-1 + 1 - j)*(-2 + 5 - 4).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2))**(4\/7)*t**(-2\/19)*t\/((t*t*t\/t**(-7))\/t))\/((t\/((t*t**1)\/t))**(-45\/7))**5 assuming t is positive.\nAnswer: t**(-1040\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 3710.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -991292, -991242, -991194, -991148, -991104, -991062, -991022?\n\"Answer: -w**2 + 53*w - 991344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -173 + 601. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1*(-12)\/(-72).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.79 * -0.15.\nAnswer: -0.2685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.5, -1\/5, 5, 1\/7 in descending order.\nAnswer: 5, 1, 0.5, 1\/7, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 10 = -14. Let n(q) = 2*q**2 + 13*q + 29. Let b = 56 + -61. What is the lowest common multiple of n(b) and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-57)\/9 - -3)*-54*7\/70. Solve -5*r + 4 = -4*a, -5*a + 15*r = l*r - 32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.68?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*o - 3068 + 1724 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 262 from -0.1.\nAnswer: -262.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 31 = -v - 2*v, -5*v + 2*b = -73. Let q(x) = v*x - 6*x + 23*x - x. Let g(d) = 2*d**2. Give g(q(m)).\nAnswer: 1682*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 - -7?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 7 = -p, -3*j + 6 = 5*p + 34. Let w = -24\/5 - p. Let f = -0.1 - -0.1. Sort w, f, -0.1 in increasing order.\nAnswer: -0.1, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -6. Suppose 0*i - 13*i - 13 = 0. Let g be 5 + (n - (i + 4)). Solve -4*f + g = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2310a03 (base 12) in base 4?\nAnswer: -121231222203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4)*2)\/(16\/736). Let j be 0*(6\/2)\/(-3). Let n be p\/(j + -1) + -3 + 4. What is the highest common factor of n and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3 - f**2 + 3*f + f**2 - f**2. Let o = 11 + -9. Let t(n) = 2*n**2 - 3*n + 2. Let m be t(o). Determine y(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/7 - 3758*c**3\/7 - 7526*c**2\/7 + 3758*c\/7 + 7524\/7 = 0 for c.\nAnswer: -2, -1, 1, 1881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 11:30 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, 1\/3, -3\/2, 2\/125, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14564 - 14564.07. Which is the second biggest value? (a) 1\/11 (b) -2 (c) -8 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5365.539 rounded to the nearest ten?\nAnswer: 5370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190271 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-12))\/(36\/(-405)*-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204 (base 5) to base 15.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3252260?\nAnswer: 2, 5, 11, 14783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -7*r. Let x = -165 - -170. Let y = x + r. Is -1 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**4 - 2*j**4 + 0*j**4)*(24 - 61 - 17)*(-2 + 0 + 0)*(0 + 3 - 1).\nAnswer: -432*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 40*z - 41. Determine k(20).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 20\/4 - 3. Let s = 15 + z. Calculate the smallest common multiple of s and (85 + -93)*(-1 + 0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from duussjduujdjsuu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*x - 4 - 4 = 0, 20 = -5*u + 5*x. Let t = 63 - 60. Solve -z = -5, u = t*v - 0*z + 4*z - 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -476*f + 1138*f - 479*f - f + 3*f - 4*f + (1 + 0 - 3)*(3*f + 0*f + 0*f).\nAnswer: 175*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 + -148. Let u(b) = -14*b**2 - 16*b**2 + 3*b - b - 5 + i*b**3 + 19*b**2. List the prime factors of u(6).\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2294019 divided by 158.\nAnswer: -2294019\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 41081*l = -41082*l - 31, -3*u - 45 = 5*l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/1 + 1\/((-6)\/(-234)). Suppose -6*r + c = -3*r - q, -r - 3*q = -3. What is the remainder when 39 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1449\/4 - 362. Sort 2\/7, 0.03, 0.2, z.\nAnswer: 0.03, 0.2, z, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54744, -4, -1\/4 in descending order.\nAnswer: 54744, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 364920161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3386994?\nAnswer: 2, 3, 13, 173, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 816537287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -56. Suppose w*q = -5*a + a - 74, -3*q - 79 = 5*a. Let h be q\/(-39)*2\/4. Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2 - 166719*a + 333426 = 0 for a.\nAnswer: 2, 55571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 9 = 39*j - 38*j, -5*g - 3 = 3*j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 3571?\nAnswer: -13\/3571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(1*(-2)\/6). Suppose j*k - 3 = 3. Let x = 20 - 17. Solve -4*s + k*y - 8 = 4*y, x*s + 6 = y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3598\/(-196) - -19)\/((-558)\/31).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - i - 12. Suppose 5*y = -4*q + 4, -2*q + i*y = 11 + 9. Let u be (-2)\/q + 33\/(-42). Which is the third biggest value? (a) -1\/2 (b) u (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368 a factor of 4026254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87964, 175914, 263876, 351856, 439860, 527894?\nAnswer: 615964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6850357 to the nearest integer?\nAnswer: 2617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -980 - -1397. Suppose a - 5*a = -w - 1632, -a - 2*w + i = 0. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/12 and 83\/26?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 401699 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04529975 from -37690.\nAnswer: -37689.95470025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 597 - 1121*r + 2243*r - 597 - 1122*r + 123*r**3.\nAnswer: 123*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -10*z**3 + z. Calculate t(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(-1*sqrt(6))*6)**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 2 - 2 + (-v + 0*v + 3*v)*(-22 - 4 - 57).\nAnswer: -164*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + k - 1. Let c be v(-3). Let a = -1 + c. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 11*z - 5*a - 100, -3*a = z. Suppose -5*p = -z, -y - 75 = 5*p - 586. Calculate the greatest common divisor of 93 and y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*x = 650645, t - 5*x = 3*t - 260243. Let r = 230634 - t. What is r rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*o*t**3 - o*t**2 - 10*o + t**3 - 2*t**2 wrt t.\nAnswer: 132*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16691 - 7488018?\nAnswer: -7471327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18453 by 153.\nAnswer: -6151\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 222\/36 + (5 + -2 - 9). Let i = -0.06 - 1.94. What is the fourth smallest value in -1, -5, i, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13302210 (base 4) in base 12?\nAnswer: -16570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**5\/5 + 4*i**4 - 14*i**3 + 20*i**2 - 13*i + 16\/5 = 0.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -1\/2, 2\/5, -1.51?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r + k + 45, -4*k - 36 = -r. Let i = -12 + r. Suppose -5*z - 4*a = -i, -5*z + a = -0*a - 16. Solve z*l - 5 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/21*g**3 - 134\/21*g**2 + 0 + 44\/7*g = 0. Calculate g.\nAnswer: 0, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 + 2*o**2 + 8*o - 6. Let b(c) = c**3 - 2*c**2 - 7*c + 5. Let i(d) = d**2 + 13*d - 53. Let j be i(-16). Determine j*z(n) - 6*b(n).\nAnswer: 4*n**3 + 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.363 rounded to zero decimal places?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 42*w - 43*w + 2*l, 11*w - 25 = -2*l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3911 - -4328. Calculate the smallest common multiple of 12 and h.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s**(-7\/6)))*s**15)\/(s**6*s*(s**(-16)*s)\/s))**(-10\/13) assuming s is positive.\nAnswer: s**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a millennium in years?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 25*b**3 + 2*b**2 - 1. Suppose u - 4 = -4*n + 4*u, -4*u = -3*n + 3. Calculate the remainder when w(n) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338 divided by -3?\nAnswer: -338\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - 1 - 33 - 6.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 4. Let s be r(-3). Let z be 9 - (s + (-9)\/(-3)). Is 6 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4715245 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 3*d**3 + 21 + 17.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -3\/4, -39, -1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1)*p)**(9\/5))**(-24\/5) assuming p is positive.\nAnswer: p**(-216\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7))**(-3\/5)*(w*((w**0\/w)\/w)\/w)**32 assuming w is positive.\nAnswer: w**(-2246\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122 + 125. Suppose 5 = v - 3*s, -12 = -t*v - 2*v + 2*s. Solve -2 = v*c + 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -946*k + 945*k = -514. Let f = k + -450. Solve -2*w = f - 54 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42848\/3 or -14284?\nAnswer: -14284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a + 904 = 208. Let u = 59 + a. What is the closest to 2\/5 in -10, 2\/3, u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**6\/240 - 3*i**5\/40 - 35*i**4\/6 - 2*i + 5. Let q(s) be the third derivative of m(s). Give q(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 742*u + 1047*u + 238*u + 0 + 0.\nAnswer: 2025*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21906552 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.023, 177, 4, -1\/6, 1.63 in ascending order.\nAnswer: -1\/6, 0.023, 1.63, 4, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = t + 2088, t - 5205 = -5*h - 4*t. List the prime factors of h.\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -8) + -5 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 1. Let h(p) = p**2 + 28 - 3*p**2 - 14 - 16 - p. Calculate -h(b) - 2*t(b).\nAnswer: 4*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12452*h**3*k**5 + h**3*k**2 - 41*h**3 + 3*h**2 - h*k - 3*k wrt k.\nAnswer: -249040*h**3*k**3 + 2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.04 (b) -0.02 (c) -0.4 (d) 18 (e) -3 (f) -4261\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 56058000 to the nearest one hundred thousand.\nAnswer: 56100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 - (-2 - (4 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*t**2 - 28*t**2 + 56*t**2 + (-1 - 3 + 2)*(5*t**2 + 4*t**2 - 3*t**2) to the form i + v*t**2 + s*t and give v.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-5\/6)*r)*((((r**(1\/10)*r)\/r)\/r)\/r)\/r)**(-13\/4))**(1\/7) assuming r is positive.\nAnswer: r**(403\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - (-5 + 175\/30)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**5 - 608*o**4 + 24868*o**3 - 134936*o**2 + 260464*o - 170528 = 0. What is o?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8891*x**4 - 2*x**3 - 10437*x**2?\nAnswer: -213384*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273 - 12 + 285 + 169*g**3.\nAnswer: 169*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3253 is divided by 472.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 5*y + 17, -2*m - 3*y = 3 + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33199629847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3\/5 - 356*z**2\/5 - 13994*z\/5 + 14348\/5 = 0.\nAnswer: -34, 1, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2757ba (base 14) to base 7\nAnswer: 14362323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*b + 24*b + 17*b - 10 = 0. Which is greater: 148\/97 or b?\nAnswer: 148\/97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*u + 4*u, -4*r - 2*u = -6. Let j(q) = 2*q**3 - q**2 - q. Give j(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9402 and 18805\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -17*n + 7. Let o(s) = 14*s. Give o(g(l)).\nAnswer: -238*l + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 40 = -5*j, 2*f = f - 5*j - 16. What is the common denominator of 11\/f*(-42)\/(-63) and -71\/146?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.021 and 1.14.\nAnswer: 1.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a = 34*a + 40 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhzhhhzhzhhzzhzh. Give prob of picking 4 z.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 34*m**2 - 415*m + 1100.\nAnswer: (m - 5)**2*(m + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*p**2 - 221*p**2 - 2 + 111*p**2 + p as l*p + b + x*p**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192962 by -560.\nAnswer: 13783\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 17. Give v(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7401312 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5200 and 27664?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 25*u - 357. Calculate the remainder when y(-11) is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 558 = i. Let v = i + 63. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1708 - 108 = 80*y for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41076, 40629, 40184, 39741?\nAnswer: 39300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 24345 = -61471. Does 42 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.3, -0.65 in increasing order.\nAnswer: -0.65, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5\/3 + 13\/6. What is the nearest to -2\/5 in -1, -13, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(0 - (1 - -1)). Suppose 0 = v + v - i. Let s(b) = 7*b**3 + 2*b - 5. Let o(g) = -5*g**3 - 2*g + 4. Let n(t) = -4*o(t) - 3*s(t). Calculate n(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/7 - 79*f**2\/7 - 12009*f\/7 - 274329\/7 = 0.\nAnswer: -51, -33, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p + 23. Calculate y(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1700, -1694, -1680, -1652, -1604?\n\"Answer: k**3 - 2*k**2 + 5*k - 1704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7478*c - 4120365. Calculate p(551).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**3 - d**2 + 3*d - 3. Let i(w) = -2*w**3 + w**2 - 4*w + 4. Let z(l) = -3*i(l) - 4*v(l). Find the third derivative of z(n) wrt n.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 44\/4 + 0 - 3. Suppose -8*q - 21 = -m*q. Let k be (4 + (4 - q))*4. Solve -3*n + 10 = -5*l, 5*l + 2*n - k - 11 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (sqrt(1100) - (sqrt(1100) - 6*(1 + sqrt(1100)))**2))*1.\nAnswer: 600*sqrt(11) + 27536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -291*g + 848*g + 12*g**2 - 264*g - 265*g - g**3 - 7. Give y(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + m**2 - 7. Let o be 0 - ((6 - 4) + -5). Let f(w) = -w**2 + w. Let l(u) = o*f(u) + n(u). Calculate the remainder when l(-5) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w + 2. Suppose -3*x = -9, 4*y + 6*x = x + 39. Let b be (-6)\/5 - (-304)\/95. Suppose -y*q + b = -22. What is i(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10 + 3\/15*-138. Let k = 28 + d. Let v**4 - 1\/2*v**5 + 0 + k*v**3 + 1\/2*v - v**2 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15887853159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - w**2 + 0*w**2 + 3*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1224*z**4 - 618*z**2 + 618*z**2 + (0*z + z - 2*z)*(1 - 1 - z**3) in the form v + k*z**2 + r*z**3 + p*z**4 + j*z and give p.\nAnswer: 1225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 239, -0.1, 1\/6 in increasing order.\nAnswer: -0.1, 1\/6, 3\/4, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giixygxyxyggg. Give prob of picking 3 g.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*l - 2. Suppose t - 132 = -3*i + 5, -l*t + 5*i + 725 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -895 - -912. What is the remainder when 129 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -133798\nAnswer: 13379.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7 - 3*f**2 - 25*f - 2*f - 5*f - f. Let k(c) = c**2 + 16*c - 3. Let d(u) = 5*k(u) + 2*p(u). List the prime factors of d(12).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (21 - (-1 + -10 + 10))) + 48?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -46581 divided by 46581?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = 34 - 28 + 30 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98.3 + -94. Let d = -0.201 + -4.147. Let q = r + d. What is q rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*y, t - 2*t = 3*y + 16. Let p = y - -6. What is the third derivative of 4*a**2 + a**3 - a**2 - p*a**2 wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 190\/57 - (-2)\/3. Suppose 3*u = -j + 5, 3*u + 9 = i*j + 4*u. Solve 0 = -3*m - 2*k + 2, -4*m + j*k = -k + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 + -2.7. Which is the nearest to 0.1? (a) -1 (b) k (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -3 + -7 - 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 10:28 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 1\/7, -0.019 in decreasing order.\nAnswer: 4, 1\/7, -0.019, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 285 and (190\/4)\/((-15)\/(-30))?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.9 - 3.9. Which is the closest to g? (a) 0.5 (b) 0.4 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 18607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 925 and 185.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323594897.\nAnswer: 7369, 43913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7}. What is prob of picking 3 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.17, -164, 6, -2\/249 in ascending order.\nAnswer: -164, -0.17, -2\/249, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 4*161\/(-92) - -11353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 521155, 521153, 521151, 521149, 521147?\nAnswer: 521145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 38741845 = w - 32858156, -4*w = 2*g + 35799996. Round g to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79123 = 79124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*5*(-1*sqrt(539) + 5) + 6*(sqrt(539)*-2 + 0) + -2)*-3)**2.\nAnswer: -29106*sqrt(11) + 97020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 7594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 832 divide 19284928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 927605\/288 or 3221?\nAnswer: 3221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2178, 8692, 19548, 34746, 54286, 78168?\n\"Answer: 2171*c**2 + c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*h - 128 + 7576, 2*h + 2*i - 2990 = 0. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/16)\/((-13)\/(-8))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -4*k**5\/5 - 13*k**4 - 76*k**3 - 190*k**2 - 200*k - 179. Let p(j) = 0. What is j?\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 504 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/5715 and 27\/635.\nAnswer: 5715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 0.03 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**2 - o**3 - 5*o**2 - 57 + 60 to the form q + d*o**2 + h*o + n*o**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 453 and 85919.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7090330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -113188.\nAnswer: 3\/113188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjkccccjjjcjcijcq. Give prob of sequence cjic.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 2. Let l be h(0). Let k(c) be the second derivative of 0*c**3 + 1\/20*c**5 + c**l - 2*c + 0*c**4 + 0. What is the first derivative of k(u) wrt u?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from uududuuudjuuujujduuu.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 8664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 72.0978 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/5 + 23\/((-10120)\/5236).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -0.8. Let z be 8\/14 - (-7 - (-1584)\/126). Which is the fourth smallest value? (a) -3 (b) z (c) y (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1)*(-2 + 2 - l) + (2 - 3 + 0)*(7*l - l - l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 + 13.97. Let b(o) = o**3 + 5*o**2 - 14*o - 1. Let t be b(-7). What is the second smallest value in 1\/9, t, 3, i?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a4 (base 11) to base 14.\nAnswer: -4c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 4*b**3\/3 + 80*b**2 - 336*b + 172. Solve r(z) = 0 for z.\nAnswer: -42, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -3*b + 20, -30*b - 288031*g - 164 = -288033*g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -332682, -332248, -331812, -331374?\n\"Answer: p**2 + 431*p - 333114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -32.692917704\nAnswer: -19.692917704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -12 - -4 - 47) + (-10 - -2)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = 0. Let a(r) = -3*r**2 + 2*r + 1. Let p be a(-1). Let y = 137118 + -137087. What is the second smallest value in y, p, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-37)\/h)\/h)\/h)\/(h\/(h**(-27)*h))*(h\/(h*h\/(h**(-16\/3)*h)))\/(h*h**9*h*h*h) assuming h is positive.\nAnswer: h**(-253\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4350)\/12 - 2\/4. Let i = m - -383. Solve 3*a = -2*j, -i = -5*a + j - 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682105213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/27 of a day in seconds?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172823?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 0.3, -1\/5, -0.159, -89 in decreasing order.\nAnswer: 2, 0.3, -0.159, -1\/5, -4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2572618 decades in millennia?\nAnswer: 0.002572618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**4 + 20026*j**2*q**2 + 432551*q**2 with respect to j.\nAnswer: 8*j**3 + 40052*j*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 670396, 1340793, 2011190, 2681587, 3351984, 4022381?\n\"Answer: 670397*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4356064 = 5*l + 11929156, -2*c + 4*l - 16285202 = 0. Let x = -1142605 - c. Round x to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuss when four letters picked without replacement from {y: 4, s: 4, u: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -5. Let g = 0 - b. Which is smaller: g or 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 81, 127, 173?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 10*v + 8. List the prime factors of u(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 7*h - 2*h + 37 = 0, 0 = 5*u + 2*h + 103. What are the prime factors of (u\/(-5))\/(3\/15)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2145 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 290 and 285210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/276894 and 9\/14.\nAnswer: 1938258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/3)\/(-44)*-36?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114672?\nAnswer: 2, 3, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6426725.76 seconds?\nAnswer: 10.6262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29, -75, -145, -233, -333?\n\"Answer: z**3 - 18*z**2 + z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 - 3*y**2 - 2*y**2 - 3*y. Suppose 5*p - q + 19 = 0, -5*q + 6*q + 8 = -4*p. Give k(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 - 1196765.4.\nAnswer: -1196864.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 2516*s + 120461.\nAnswer: -(s - 2563)*(s + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g**2 + 11*g**2 + 3*g**3 + 11*g**2.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1804802 or 1804621?\nAnswer: 1804621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 - -118. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2246 = 2990*k + 11216 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 212040 and 513?\nAnswer: 636120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -2, -1, 9569 in ascending order.\nAnswer: -17, -2, -1, 9569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(1 - -5)*-1. Let b = -18 - -23. What is the nearest to v in -1\/4, -2\/5, b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(-1\/16)\/((i\/i**(-7))\/(i*i*i**(1\/5)*i*i)))\/(i**(4\/5)\/i*i*i\/i**0*i*i**(3\/5)\/i*i**(-5)) assuming i is positive.\nAnswer: i**(-101\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/76 and -19\/10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -5 (c) -140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 730326.62 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2183407.\nAnswer: 37, 59011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 39 - j**2 - 32 - 18*j**3 + 15*j**3 + 3*j**2. Let u(y) = y**3. Give -2*u(p) - w(p).\nAnswer: p**3 - 2*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 5. Let o = -4.2 + 7. Let t = o - 2.5. Which is the nearest to j? (a) 2 (b) -8 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 2728*l**2 + 5464*l.\nAnswer: -2*l*(l - 1366)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, c: 14}. Give prob of picking 2 h and 2 c.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13797.17 centuries to months.\nAnswer: 16556604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.9 - -1.8. Let k = 6.6 - 6. Let o = 1 - k. Which is the closest to l? (a) 0.1 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29687862\/11 >= 2698898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/2 + (-26)\/12. What is the third biggest value in -2\/7, 1, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -174.59909837 + 174.6. Round u to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/66753 and -31\/251520.\nAnswer: 5596571520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2 + 10*v + 4. Let w(j) = -2*j**2 - 5*j - 2. Give -5*w(s) - 3*y(s).\nAnswer: -2*s**2 - 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i\/i**11*i)\/i)\/(i**(-24)\/i))**23)**(2\/25))**(-30\/13) assuming i is positive.\nAnswer: i**(-828\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(2\/19)*x\/(x*x**15)*x assuming x is positive.\nAnswer: x**(-245\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 73, -5, -4 in decreasing order.\nAnswer: 73, 5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 567142 or 6238575\/11?\nAnswer: 567142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 - 1 = 0. Let l be ((4 + -1)\/(9\/4))\/(-2). Sort i, l, 1.\nAnswer: l, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 37 = t, -232*v - 2*t = -234*v + 40 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/10 and 32\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06554 + 2.13054. Round f to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1833 (base 16) to base 14.\nAnswer: -2387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -10, 1, -438.\nAnswer: -438, -10, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12256 (base 7) to base 9.\nAnswer: -4374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**2 - 39665*y + 80918640 = 0 for y.\nAnswer: -9616, 1683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 9 = -2*a + g, 0 = -2*a - 4*g. Which is smaller: -13 or a?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26, -159, -514, -1211, -2370?\n\"Answer: -20*t**3 + 9*t**2 - 20*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1699 * 28683.\nAnswer: -48732417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 17*h**2 - 2*h + 37. Let m be d(-17). Suppose -5*j + 9 = -m. Solve 2*y - 6*y - j = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 8. Let p be t(-6). Let w = -195 - -334. Suppose 0 = p*r + n - w, n - 4 = 1. What are the prime factors of r?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from {m: 1, o: 2, i: 2, t: 1, b: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 198 - 136. Let g = 62 - s. Suppose -3*f - 3*f + 768 = g. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7193295, -7193296, -7193297, -7193298?\nAnswer: -7193299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -115a4 (base 13) in base 16?\nAnswer: -7bf9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007090652 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*v + 10, -2*y + 6*y - 2*v = 0. Suppose y*b + 1 = 3*b. Let j(c) = -c**2 + 0 + 1 + 3*c**2 + 6*c**2. Give j(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*b + 6, -r + b + 3 = -b. Let z(l) = -5*l - r + l + 3*l. Let a be z(-4). Solve q - a = -2*t - 3*t, -3*t + 13 = -5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -404 + 2819\/7. Let d be 88\/(-5) - 6*3\/45. Let x = -18 - d. Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*l + 285*l - 57*l + (-7 + 3 + 2)*(2*l - 3 + 3))*(-1 + 1 - l).\nAnswer: -141*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -1 + 1 - 4*p. Let q(b) = -b + 1. Suppose -4*d + 2 = -6*d. Give d*o(r) + 2*q(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101011010 + 1010001110010?\nAnswer: 1100111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 40 = 0, g = -89*h + 84*h + 1. What is the greatest common factor of 1107 and g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 4 (c) 1698490\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (166\/8)\/((-3)\/(-12)). Let z = b + -117. Let a = -6 - z. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2336336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in 1\/3, 1\/8, -0.90265, -15?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 300?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 351?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 + 351*n - 12441. Calculate c(-115).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -2. Let m be 0 + (d - -1 - 2). What is the nearest to -0.1 in -1\/4, m, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/5*9*((-199080)\/378)\/158.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 206 + -17.9. Let y = 188 - u. Which is the nearest to y? (a) 0.3 (b) -4\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 11*j + 4*j - 2*j - 16 = -4*k - 0*k + 4*k, 0 = 4*k - j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 15 = v. Suppose -4*o + o + 63 = 0. Suppose o + 9 = 2*i. Calculate the greatest common divisor of i and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 6:32 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 11) to base 10.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -34*o**3 - 172*o**2 + 514*o - 350. Let v(t) = -97*t**3 - 514*t**2 + 1541*t - 1049. Let a(m) = 17*p(m) - 6*v(m). Factor a(u).\nAnswer: 4*(u - 2)*(u - 1)*(u + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(4\/(-40)*6). Let f(n) = -81*n - 133. Is 17 a factor of f(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - a - 4)*(-4*a - a + 4*a) - 27*a**2 + 65*a**2 + 12*a**2.\nAnswer: 51*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1195979, -2391924, -3587863, -4783796?\nAnswer: -5979723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 38\/79 (b) -5 (c) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/6*(-9)\/(-12). Let y = -9 + 11. Which is the closest to 0.2? (a) r (b) -0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95186682.\nAnswer: 2, 3, 97, 54517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -3 + (-200)\/(-24))*3. Calculate the greatest common divisor of t and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 96450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -606286716 divided by -71052\nAnswer: 8533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + h + 15, -38*h + 43*h - 40 = 0. Solve b = -l + g + 28, -2*g - 10 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2421, -2419, -2425, -2445, -2485, -2551, -2649?\nAnswer: -2785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/12 and 19\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + h - 58, 30*k - 5*k - 3*h = 4*k + 20*k - 9 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -293\/5. Let x = 75.5 - 75. Which is the nearest to m? (a) -0.3 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -a + 28053, -56*a + 61*a - 11235 = -2*m. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m**2 - 16*m**2 + 4*m**2 + 7*m**2 + 22 - 11*m. Let l = 32 - 23. Let s be z(l). Solve s*p + 7 = -9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/4, -0.2, 0.1, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1396794 and 68502.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q + 0*q - 5*q)*(2141 + 2514 + 4104) as p*q + j and give p.\nAnswer: -8759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -8857*u. Let w(b) = -2*b**2 + 8*b. Calculate w(s(z)).\nAnswer: -156892898*z**2 - 70856*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 13*x + 1. Let d(r) be the third derivative of -r**4\/12 - 35*r**2. Determine d(n(p)).\nAnswer: -26*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) 0 (b) 8\/15 (c) 55 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255*x = 256*x - 1. Which is smaller: -1\/63 or x?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 3\/(18\/66))*85. Let l = s + 1256. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**5 - 80*p**4 - 260*p**3 - 240*p**2 = 0.\nAnswer: -12, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 212 and 12?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 212167 (base 8) to base 16\nAnswer: 11477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 23*r**2 - 1. Suppose 0 = i - 0*i - 1. Is t(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -19, 111 in increasing order.\nAnswer: -19, -4, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 50*q**2 + 420*q + 1260. Let y(x) = 7*x**2 + 60*x + 180. Let s(z) = 2*a(z) - 15*y(z). Factor s(g).\nAnswer: -5*(g + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.536 to the nearest integer.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -3*n**2\/2 - 14. Let b(p) = -3*p. Give z(b(a)).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1762 + 1746 + k - 3508.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3813*35.2.\nAnswer: 134217.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -310.7 in 0.1, 0, 5\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(17\/5)*(y\/(y*y\/((y\/y**(2\/5))\/y)))\/y*y*((y*(y*y**8)\/y)\/y)\/y*y**(-3\/2))**(-24) assuming y is positive.\nAnswer: y**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-228)\/19*(10\/(-6))\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6808, 0, -8.\nAnswer: -8, 0, 6808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + 1 + 2 - 2 + (0*i + i - 4*i)*(i - 2*i + 3*i) - 4*i**2 + 3*i**2 + 3*i**2.\nAnswer: -5*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u - 195 - 585 = 86*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2. Let z(l) be the third derivative of l**5\/120 - l**3\/3 - 4*l**2. Let y(a) be the first derivative of z(a). Give b(y(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 75824303 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 670*m**3 - 419 wrt m?\nAnswer: 2010*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 0 - 2 + 24*m**2 + 8*m - 15*m**2. Let t(z) = 8*z**2 + 7*z - 2. Give -7*t(d) + 6*y(d).\nAnswer: -2*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**3 - 3*l**3 + l**3 - 2*l**3 + 0*l**3 + 0*l**3 + (5*l + 3*l - 5*l)*(2*l + l**2 - 2*l) to g*l**3 + i*l + y*l**2 + q and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2289247112873 and 0.1?\nAnswer: 2289247112873.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17463174.\nAnswer: 2, 3, 59, 49331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6441, -25702, -57781, -102678, -160393?\n\"Answer: -6409*y**2 - 34*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (0 + 2)\/(-8) - 1956\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 28 = -2*u, 3*k - 5*u + u + 10 = 0. Let x = 9 + k. Solve x*b + 17 = -2*z, 3 = 4*b - 4*z - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgqqr. Give prob of sequence rq.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 6872.8408 to the nearest 100.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*j + 140 = -5*j. Suppose 3*i = 183 + 234. Suppose -5*p + 4*w + 408 = 0, -4*p + j*w - i = -469. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 272\/(-68) + (-1)\/((-3)\/14). Let -2*x**2 - 2\/3 - r*x**3 - 2*x = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (391 - 391 + 44*g)*(-1 + 0 + 2)*(2 - 4 + 6) as w*g + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13771803 divided by -5?\nAnswer: -13771803\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 3\/15 + (-23334)\/(-30). Calculate the highest common factor of 97 and j.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2*3\/(30\/25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.66 minus 8?\nAnswer: -7.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1676218477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g. Let p(c) = c + 1. Let m(t) = p(t) - 3*z(t). Let b(f) = 0 - f**3 - f + 2 - 3 - f. Let s be b(-1). Calculate m(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 46*f**2 + 18*f + 2021. What is the tens digit of r(-34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + d**2 + d. Let v be y(0). Solve v = -h - 3*h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -24. Let u(s) = -30 + f + 4*s + 14*s - 7*s. Is u(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 3:47 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -3\/4, 4\/3, -6\/53, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -5\/73778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -1 + (31 + -32 - 2) + 1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100110011000010 (base 2) to base 16.\nAnswer: ccc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + 37. Let q = 15 - l. Let v = 35.926 + q. What is v rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/167 in 0.3, -3\/2, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30715416 and 307551?\nAnswer: 952177896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l - 1923 = -7467. Suppose -l*h - 1134 = -311*h. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 b, and 1 v when four letters picked without replacement from mmuiubvvvmvuugiimv?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(9\/48))\/(5\/10). Let j be (32\/4)\/(-4) - (s + -2). Suppose 0 = 5*x + 7 - j. Solve x*v - 6 = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1800015 times 0.04?\nAnswer: -0.00720006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*j - 5955, a = 5*j - 3*a + 14838. What is j rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k + 0 + 1 - 3 + 0 to z*k + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 72157963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 85317.102 milliseconds?\nAnswer: 0.023699195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1089 and 3737448.\nAnswer: 3737448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 12 + 0*d + 2*d)*(4*d - 3*d + d).\nAnswer: 4*d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 149660103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 23890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24320\/(-665))\/128)\/((-2)\/(-5))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -70. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -129882975*r**3 - 74538898 with respect to r.\nAnswer: -389648925*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 11 - -16 - (4 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**3 - 3*g**3 - g**3)*(3 - 3 + g) - g**4 + 0*g**4 + 3*g**4 - 23*g**4 - g**4 - 9*g**4 + (-2*g**2 + g**2 + 4*g**2)*(6*g**2 - 3*g**2 + 0*g**2).\nAnswer: -21*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Let a(w) = -44353*w**2. Calculate a(s(k)).\nAnswer: -44353*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7740 - 364?\nAnswer: 7365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402, -399, -396, -393, -390, -387?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s = 114. Let n be -1 + 7 - (-9)\/3. Suppose -16302 = n*l - 35*l. Calculate the greatest common factor of s and l.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25636 = 2*q - 4*d - 25594, 3*d = -4*q + 26 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j + 3. Suppose 2*o - 2*z = 16, 2*o = -2*o + 2*z + 26. Which is the smallest value? (a) o (b) -0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -16. Let h be (-35)\/11 - ((-35)\/11 + 3). Let f be -3 - -1 - 22\/(-12). What is the nearest to 7 in f, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 1, g: 1, s: 2, i: 1, w: 1}. Give prob of picking 2 s and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by 149433?\nAnswer: -37\/149433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 11. Let n(c) = -5 + 4 - 1. What is 11*n(u) - 2*x(u)?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4977866km to micrometers.\nAnswer: 497786600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 157670893 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2636 - 2635.7. Sort -2, 0, v, 4\/3 in descending order.\nAnswer: 4\/3, v, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 - 60. Suppose h*i - 397 = -5*u + 472, 0 = -4*i + u + 1128. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -158*a**2*n**3*p + 5*a**2*n + 3187*a**2*p + 3*a*n**3*p - 218*a*n**2*p - a*n*p - 2465*a*n wrt a?\nAnswer: -316*n**3*p + 10*n + 6374*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvha when four letters picked without replacement from vdvvvvvvvdvhvaaadvd.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Let x(q) be the first derivative of 2 + 0*q**3 - 1 + 3*q**3 - h*q - 2*q**3. What is the derivative of x(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 93. Calculate the common denominator of (-488)\/42 + (-12)\/g and -99\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, 962, 60, -1, 0, -3 in ascending order.\nAnswer: -3, -1, 0, 60, 108, 962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 736 + 45.\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5613 + 85.\nAnswer: -5528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2 + 110*u - 395. What is x(17)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + -3.9. Let b = 9 + -8. What is the second biggest value in y, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-12) + (-170)\/(-60). Suppose h*n - 5 = 1. Suppose n*j + 2*v - 110 = 0, -4*v = 2*j - 111 + 11. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/743 - 2982\/3715. Let i = -969 - -969.5. Which is the fourth biggest value? (a) -5\/4 (b) s (c) -4 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77850 is divided by 378.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v*(v**(-4\/13)*v)\/v))\/v)*v)\/v**(6\/7))\/((v\/((v*v\/v**(-13))\/v))\/v**(-1\/6)) assuming v is positive.\nAnswer: v**(8009\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty sevenths of a week in minutes?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + ((-26)\/11)\/2. Put -0.1, 1, 4\/5, t in ascending order.\nAnswer: t, -0.1, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 70080905 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**2 + 5*z + 0 + 1\/3*z**3 - 1\/12*z**4. Determine k(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**4 - z**4 - z**4 + (-4*z**3 + z**3 + 5*z**3)*(-126 + 5*z + 63 + 65).\nAnswer: 13*z**4 + 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a centimeter in millimeters?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 8902619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 519*i - 520*i - 19, 0 = 4*b + 3*i - 19 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -2\/5165, -2\/9?\nAnswer: -2\/5165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 965 and 2905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63128 and 13.\nAnswer: 63128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 0 (b) -4\/1133 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 77, 166, 293, 458, 661, 902?\nAnswer: 1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*d = -2*d - 19, 5*y + 2*d = -1. Which is the nearest to y? (a) -4\/7 (b) 1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*v + 42 = 42. Suppose -3*g = -g - 10. Suppose -n + 3*r = -g*n, -1 = n + r. Solve v = -n*b - 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -239? (a) -1 (b) -0.36 (c) 0 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 1. Let z be p(4). Suppose 8 = 2*b + m, -z*b - 5*m = 2*b - 30. Let a = b - -2. Solve 7*k = -3*h + a*k, 5*h = -2*k + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -84. Let r = -26 - o. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/8 + -1\/8. Let h = 70198 - 70197.5. What is the nearest to z in 0.06, -3\/7, 1, h?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75)*-5 + sqrt(27)\/(sqrt(576) + sqrt(9)).\nAnswer: -224*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 10*z - 60 = 0, 1 = 2*p - 3*z + 10 + 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -3\/388900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from glfwdffnddgf.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3098\/3 or -1032?\nAnswer: -1032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 + 8*z - 16 + (3*z + 2*z - 4*z)*(-1 - 1 - 2) - 2 + 35*z - 2 + 6.\nAnswer: 39*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**2)\/x*x)\/x)\/x*x*x**0)\/(x**(2\/5)\/x**(-2\/7)) assuming x is positive.\nAnswer: x**(46\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*u + 23442 = 0, -2*d - 2*d - 2*u = -31280. What are the prime factors of d?\nAnswer: 2, 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 - 15*p\/2 - 27.\nAnswer: (p - 18)*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 223*s. Let v(j) = 23*j + 2. Calculate h(v(c)).\nAnswer: 5129*c + 446","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -9*g**2 + 4*g**2 - g**3 + 2*g**3 + 28*g**2 + 36*g + 29 + 2*g**2. What are the prime factors of l(-12)?\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*s - 6. Let f be 2\/(-6) + 20\/s. Suppose 0*y + f*y = 228. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1.111, 10, 3.2?\nAnswer: -1.111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1\/2 (b) 39.9 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 86?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 10*v + 5*v + 9 = 0, 2*a - 3*v = -4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -198.666 - 1.534. Let o = l + 182. Let t = 19.51 + o. Round t to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1.7, -3\/5, 0.4, 10.3, 8, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31581968 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 382.96 - 375. Let u = -8 + k. Let s = 3 - 6. Put 4, s, u in decreasing order.\nAnswer: 4, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113459, -226935, -340421, -453923, -567447?\nAnswer: -680999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 17 - 144*c + 6*c**2 - 1\/12*c**3. Factor t(y).\nAnswer: -(y - 24)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (224\/2940*-10)\/((-1)\/14)*3?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -7*z + 78. Solve z*j - 17 = 46 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -9*g + 27. Let f be t(3). Solve f = 5*w - 5*a + 17 + 3, -2*a + 3 = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 + 2*m**3 + 2*m**4 + 23 + 8*m**4 - 23 + (4 - 4 - m**2)*(-m**2 + 0*m**2 - m**2) as x*m**3 + t*m + g*m**4 + k*m**2 + l and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 67009 and 67009 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64.1 - -64.54. Round x to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 1 + 17)*(0 + 19*a - 12*a + 2)*(6 + 0 - 1) as f + o*a and give f.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-342)\/(-570))\/(9\/(-130)))\/((-6)\/(-27)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 865*s**3 + 5 - 4 + 3962*s**3.\nAnswer: 4827*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 510322 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 15 = -5*j, -3*f + 62 = 2*j + 75 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (60\/(-126))\/((-2)\/648*2). Let u = q - 77. Let k = 0.031 - -0.369. Which is the biggest value? (a) k (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 6*q - 4. Let m be s(5). Let c be ((-4)\/6)\/(m\/(-3)). Let y = 3.526 + -3.726. What is the second smallest value in c, y, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3*x - 4. Let m be -1 + (-4)\/(-2) - 22\/(-18). Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -8462*u**2 + 5*u + 13. Let r = 63 + -58. Let t be (5\/(-2))\/r*-2*13. Let i be b(t). Round i to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 - 1. Which is the nearest to -1? (a) t (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 660?\nAnswer: -1\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -601*x**3\/3 - 1711*x**2\/2 + 2*x - 130. Differentiate t(h) with respect to h.\nAnswer: -1202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -44188?\nAnswer: 44184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*n**2 + 10*n**3 - 5516379 - 12*n**3 + 5516379.\nAnswer: -2*n**3 + 62*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -21*n**3 + 58*n - 137. What is x(2)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428636 is divided by 240?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, 3, 0.4, 2\/3 in descending order.\nAnswer: 9, 3, 2\/3, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/4)*q*q\/(q**4*q)*(q**12)**(-40))**(-1\/47) assuming q is positive.\nAnswer: q**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15042.8 and -6.\nAnswer: -15048.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 26175?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -57*k**4\/8 + 468*k**2. Let q(t) = -2*t**2. Give q(z(x)).\nAnswer: -58482*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**3 + 3*f**2 - f + 1. What is h(2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-20 + 29 - (-1 - 3 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 - -42?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 123\/(-254) + ((-45)\/10)\/(-9). Let a = -143\/1016 + w. Let o(s) = s + 2. Let p be o(0). Put p, a, -3\/7 in increasing order.\nAnswer: -3\/7, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394157683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 40.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 2. Does 25 divide 79 + (j - (-2)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11683.\nAnswer: 7, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 4:10 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = g + 2*g - 30, 3*q = g + 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 278317 to the power of 1\/2, to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sds when three letters picked without replacement from sssdssdsdsdss.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/73010 and -11\/865690?\nAnswer: 6059830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*s + 6. Let f = -48 + 72. Let y be f\/(-36)*6\/16. What is the nearest to 1 in y, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 7*d**2 + 8*d. Let q be s(8). What is the first derivative of 0*h**3 + 2 + q*h**3 + 2*h**3 - 4 wrt h?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 27 - 7*t + 23 - 53. Suppose 0 = m + 5*p - 11, m = -p - 4 + 3. Let k be r(m). Solve -6*n = -n + k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16\/7 in -0.2, -143, -0.01, 0, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14839768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 85716*j**2 - 9*j - 38. Let f(n) = 28572*n**2 - 3*n - 13. Let b(w) = 17*f(w) - 6*k(w). Let l be b(7). What is l rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13073, -0.07, 35 in increasing order.\nAnswer: -13073, -0.07, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 7*z**2 - 8*z - 19. What is the tens digit of o(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -15*z**5 - 21*z**4 + 39*z**3 + 33*z**2 - 24*z - 12 = 0.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d (base 16) to base 15.\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 - ((6 - -2) + 3 + -16)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1341 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 509 or 522?\nAnswer: 522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**4\/6 - 11*l**3\/6 - 9*l**2\/2 + 8*l - 10. Calculate y(-7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 2*s - 1. Let b be i(1). Suppose v + 6 = 5*j, b = -j - 0*v + v - 2. Calculate the smallest common multiple of 68\/7 + 4\/14 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -1, -3, -55 in decreasing order.\nAnswer: 4, -1, -2, -3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - t**2 + 3*t + 4. Let v be p(-2). Suppose 62 = 2*k - 2*b - v*b, 0 = -2*k - 4*b + 30. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3332, 1, 17, 9, -1\/4 in decreasing order.\nAnswer: 3332, 17, 9, 1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1111332211 - 120?\nAnswer: 1111332031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3 + 6 - 10 - b. Let n(m) = -1. Let a be 0\/(((-3)\/3)\/1). Suppose 4*r = -3*u + 7, a*r = -4*u - 3*r + 7. Give u*n(c) + f(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-517)\/132*2\/(12\/(-9))*576\/72?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.009 + -0.291. Which is the closest to -7\/2? (a) 2\/11 (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2275*o - 294 = -2296*o. Suppose 2*d - 16 = -2*d. Calculate the remainder when (-90)\/(-4) - (-2)\/d is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*r = -13, 7 = 2*k + 3*r - 3. Let u be (-6)\/3*k - -259998. Round u to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 16792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -107772 divided by 6?\nAnswer: -17962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -291 - -2329\/8. Which is the nearest to 0? (a) d (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + 7 - (3 + -2). Let g be 9400626\/(-1224) + -1*b\/(-4). Round g to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d - d - 4*d)*(-2 - 1 + 2)*(-20*d**2 - 2 + 10*d**2 - 12*d**2) as l*d**3 + n*d**2 + f*d + y and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3*q - 3)*(-2 - 2 + 2) - 1131*q + 2262*q - 1133*q + 542 to i*q + o and give o.\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in 9, 1\/4, 148, 4\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4197371 is divided by 1436.\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.21, 0.2, 2, -2\/145, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 a when three letters picked without replacement from auuaaqaqala.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -63 + (0 - (-8 - -4)). Let y = r - -107. Suppose 4*x - y + 12 = 0. What is the remainder when x is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24a7 (base 11) to base 7.\nAnswer: 12341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -103 + 106. Suppose -8*z - 2*r = -5*z + 1, 0 = -z + s*r + 7. Solve 0 = 2*p + 5 + z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z + 11. Let f(o) = -o**2 - o. Suppose 4*s - 2*i - 7 = 3*s, 4*s + 3*i = -16. Let u(y) = s*t(y) - 2*f(y). What is the units digit of u(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 11*w + 20. Let p(g) = -5*g - 10. Let c(s) = -6*o(s) - 13*p(s). Give c(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y\/(y*y\/y**(2\/3))*y*y*y)**(7\/11)\/((y*y**(-24))\/(y*y*y*y\/(y**(-10)\/y)*y)) assuming y is positive.\nAnswer: y**(1406\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -210, -209, -208?\n\"Answer: y - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/3 (b) 122 (c) -1\/4 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 33*z**5\/20 - z**4\/6 - 11*z**3\/6 - 3*z - 2. What is the third derivative of b(l) wrt l?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 292.\nAnswer: 2.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*t + 209 = 210, -t - 2 = -2*r. Solve -4*l = 8, r*y + 0 = -2*l + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1043*a + 250*a - 938*a + 3 in the form i + z*a and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 10:02 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*g**3 + 24*g**3 - 15*g + 3*g + 0*g**3.\nAnswer: -58*g**3 - 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - 41. Suppose -5*n = m - u, 0*n + 8 = 2*m + 5*n. Find the third derivative of -4*o**4 + 3*o**4 - m*o**4 - 5*o**4 - 2*o**2 wrt o.\nAnswer: -240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (446 + 28*m**2 - 446)*(-m + m**2 + m) + 2*m**4 - 4*m**4 - 2*m**4 + (m**2 - 2*m**2 + 0*m**2)*(-3*m**2 + 0*m**2 + m**2).\nAnswer: 26*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 5*i = -17, -13*v = -11*v + i + 13 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 6) + (4 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23865 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 436, 1189, 2430, 4255, 6760, 10041, 14194, 19315?\nAnswer: 25500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 1:37 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1141425 (base 8) to base 11.\nAnswer: -1a3524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*z - 24 + 15*z**2 - 17*z**2 + 18*z + 17*z**2.\nAnswer: (3*z - 2)*(5*z + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**5\/12 + 5*b**4\/6 - 5*b**3\/2 - 8*b**2. Factor q(l).\nAnswer: -5*(l - 3)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 1\/5 (c) -2 (d) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 41*r - 614. What is j(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-17 - -9 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00312841 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r. Let s(a) = -a. Let y(b) = -2*s(b) + x(b). Calculate the remainder when 13 is divided by y(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4255963*z**4 - z**3 + 2*z**2 + 2*z + 18221109?\nAnswer: 51071556*z**2 - 6*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/((-48)\/(-280))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, w: 2}. What is prob of picking 3 q?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 6:09 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2, -2\/7, 1, -1\/42?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3*t = -0*p + 4, 0 = 5*t - 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 1}. Give prob of sequence au.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/2 + -2 + 0. Let g be 2\/(-18) + m\/1. Let o = -5.66 + 3.66. Which is the third smallest value? (a) g (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 - 1 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*h. List the prime factors of h + 107 - (14 + -11).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from bbubbuubbubbbg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n = 5*a - 464, -4*n - 43*a + 46*a = 160 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -48 and -28700354885.\nAnswer: -28700354933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(9\/4))**(-12))**(-12\/7) assuming h is positive.\nAnswer: h**(324\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 302906532241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*u + 4*o, o = -u - 0*o + 5. Suppose -2*q + 2*y + u = 0, -q = 3*y + y - 20. Calculate the smallest common multiple of q and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(20*k - 83*k + 31*k).\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 176411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(84) - sqrt(84)*-1*-4)\/sqrt(12) - (sqrt(224)*6)\/sqrt(8)).\nAnswer: -15*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -67, -135, -221, -331, -471?\n\"Answer: -d**3 - 3*d**2 - 52*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -526853*-3*(8 - 1). Suppose -l = -3*n + d + 3782387, -2*n = 4*l + 59385172. Let x = 5046294 + l. What is x rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 2*m = 0, 19930*b - 19927*b - 4*m = 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2 - 6714195*u + 6714192 = 0. What is u?\nAnswer: 1, 2238064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1435 is divided by 295?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99477*w**3 - 264055*w**2 wrt w.\nAnswer: 596862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -52, -82, -132, -202?\n\"Answer: -10*s**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (16\/64)\/((-7)\/(-12)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**2*t - 20*h**2 - 224*h*t wrt h?\nAnswer: -2*t - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14516 divided by -6.\nAnswer: -7258\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q - 44. Let t(d) = -6*d + 87. Let a(r) = -13*c(r) - 6*t(r). Differentiate a(y) wrt y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from vitttiviittvi.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/5 - x**3\/5 + 2*x**2\/5.\nAnswer: -x**2*(x - 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -558 (base 10) in base 5?\nAnswer: -4213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 20 = -j. What is the units digit of j\/(-22) - (1 + (-2964)\/33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -88387077, -88387088, -88387113, -88387158, -88387229?\n\"Answer: -y**3 - y**2 - y - 88387074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krv when three letters picked without replacement from evkkkrekevkerkkvepe.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14968 or 59869\/4?\nAnswer: 59869\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 3 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238090 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 17.5. Suppose -z - 44 = 2*u, -71 = 4*u - 3*z - 3. Let x be (-4)\/(-14) - u\/(-21). What is the nearest to -0.1 in b, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73.45 - 0.5.\nAnswer: -73.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-5)\/r*r)\/r**(-7))\/(r\/(r\/(r\/(r\/(r*r**(-7\/4)*r))*r*r))*r**(-1\/3)\/r*r))**(3\/31) assuming r is positive.\nAnswer: r**(1\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 7*c**2 - 7*c - 4. Let p be v(-6). Suppose -p*z + 44 + 76 = -4*k, -z - 5*k + 81 = 0. What is the greatest common factor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1387 divide 1702833164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6806 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/2 and -23\/34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2)*(-5)\/(-20). Let q(m) be the third derivative of -s*m**4 + 0 - m**2 - 1\/3*m**3 + 0*m. Determine q(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.03 (b) -2\/13 (c) 81\/34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6074630 to the nearest integer?\nAnswer: 2465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - 110?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(425))**2 + 3.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-3))\/(13\/178971) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.5 - -9. Let f = s + -0.3. Let n = 5.43 - 5.5. Which is the closest to 1\/3? (a) f (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.38 (b) 2 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 0 - (-3 + -34). Suppose 2*n = 3*x + 21, -3*n + x + 0*x = -g. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8276275, -8276276, -8276277?\n\"Answer: -m - 8276274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 11*f - 11. Let c be h(-12). Let p be c\/(3\/(-24)*-4). Find the common denominator of (p + 13)\/5 + (-249)\/54 and 49\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66562544 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1125389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*f + 16, 2 = -2*f + 5*p - 2. Let z(x) = 23*x**3 + 5*x**2 - 4. Is z(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 6:44 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 258 and 7950.\nAnswer: 341850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288008 and 278?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110 (base 2) to base 9.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c. Let h(v) = -4*v - 20. Determine -h(b) - 3*j(b).\nAnswer: b + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -172 + 180. Calculate the remainder when 266 is divided by -4 + (57 - ((4 - l) + 3)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 1714427985.98?\nAnswer: -1714427996.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.437789447 rounded to 3 decimal places?\nAnswer: -0.438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 952 divided by -4867.\nAnswer: -952\/4867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217488598 is divided by 27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/22 and 81\/1722100.\nAnswer: 18943100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860 is divided by ((-1632)\/30)\/((-20)\/50).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 973825441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -2*d**3\/3 + 1. Let l(c) = c. Let x(h) = h. Let a(g) = 7*l(g) - 6*x(g). Determine a(u(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 - 3586*c**3 - 3164253*c**2 + 90718628*c - 639988804.\nAnswer: -(c - 14)**2*(c + 1807)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1972.46 and -361.\nAnswer: -712058.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 170 (c) 33\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 = 0, -4*i + 22 + 0 = l. Solve 38 = -i*u + 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34471 = -9*r + 25928. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 4) + 1 + 6. Let o(p) = -2 - 171*p**3 + 172*p**3 + 3 + s - 3*p**2. Calculate o(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 1. Let g be (-1)\/(i - 6\/4). Let k = 95 + -92. Sort 0.3, k, g.\nAnswer: g, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139\/9 + -16. Let i = -109420\/203 - -539. Let d = -13183\/812 + i. Calculate the common denominator of d and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -11*y + 18, 3*y = 436*t - 437*t + 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 66191583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -279.383 and 1?\nAnswer: 280.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 892039913 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: Let r(b) = b**3 + 9*b**2 + 9*b - 2. Calculate r(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*j - t + 2, -j - 2*t + 13 = 0. Suppose 2*n - 4*z = -2*z + 18, j*n - 4*z - 23 = 0. Calculate the highest common factor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 671243 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 354 - 354.7. Which is the third biggest value? (a) h (b) -3\/8 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 16, 4*z - 25 = 5*h + 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-55)\/650*-24 - (-8)\/(-4). Let z = 222735 + -57911027\/260. Let k = r - z. What is the closest to 0.03 in -0.02, k, 0.1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -i + 2*b - 2, -37 = 5*i - 3261*b + 3237*b for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -12*h**2 - 9. Let v(k) = 4*k. Determine v(m(w)).\nAnswer: -48*w**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -352, -1191, -2822, -5509?\nAnswer: -9516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4521 - -4502. What is the second smallest value in -1, 4, -0.2, 2\/11, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*n - 441, 3*j - 292 = -4*n + 60. Let m = 90 - n. Is ((-254)\/8)\/(m\/(-20)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -10*p + 11*p, 3*c = -4*p + 91. What is the remainder when 43 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115848808*x**5 - 19908534*x**2 - 6 wrt x?\nAnswer: 6950928480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -57. Calculate the common denominator of 8\/11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvggvgfffvf. Give prob of sequence gvfg.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w - 4. Let m be r(-4). Let f(l) = 5*l**2 - 3*l + 4. Let z be f(3). Suppose -3*t - z = -m*t + 2*u, -4*t + 3*u = -180. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 525003 (base 7) to base 6.\nAnswer: 1535123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 7*k - 3. Let v = -34 - -41. Determine p(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/36)\/((-70)\/12)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzii when four letters picked without replacement from zzizzzzzzzzziziz?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -517\/5*c**2 + 0 - 8*c**3 - 2178\/5*c - 1\/5*c**4 = 0.\nAnswer: -18, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.8804281ns to minutes.\nAnswer: 0.000000000048007135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -166c?\nAnswer: -1669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3 = -9. Let h = -0.3 + 0.246. Let x = h - 10.946. Does x = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1285.9465 - 1286. Round z to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 226421 (base 11) to base 9\nAnswer: 607583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 2:17 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -137, -244, -389, -572, -793?\n\"Answer: -19*q**2 - 50*q - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = 4*u - 6, 0 = -j - 5*u + 11. Find the first derivative of j - 2*p**4 - 4 + 5 + 6 wrt p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65.93 - 64. Let c = 3.84 - i. Round c to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 250.847687 - -2267.164043. Let t = 2518 - x. What is t rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/10 - -1\/2. Which is the nearest to -6? (a) u (b) 1\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144581985 divided by -4.\nAnswer: -144581985\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 = -5*h - 5*o, 0*h + 4*o = -5*h + 277. Let g = -33 + h. What is the derivative of 8 - 24*y - 3 - 7*y**4 + g*y wrt y?\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -817045 equal to -817459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/7 - 192*y**2\/7 + 1389*y\/7 - 360.\nAnswer: 3*(y - 56)*(y - 5)*(y - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2308987 is divided by 2612.\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 3*w - 3. Calculate the remainder when n(2) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 1 = 5*c + 24, -5*u + 3*c = -15. Suppose -4*x + 21 = -3*h + 5, -2*h - 8 = u. Let v(n) = -3*n. Let g be v(x). Is 0 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*j - 253*j = 1032*j + 808*j - 101775 for j.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i\/(i\/((i**(2\/11)\/i)\/i*i*i))))\/i**(-9\/10))\/(i\/(i**(10\/7)\/i)*i)**(2\/95) assuming i is positive.\nAnswer: i**(-4607\/14630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (644\/70)\/(7*((8\/1)\/8)\/(-7))?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (5 - 5) - 0 - -2 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 - -0.01. Let x = 1.9 - -0.1. What is the closest to j in 4\/5, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 27*h - 14*h + 34 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404192065?\nAnswer: 5, 1013, 79801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*g = -12. Let l = 6 - -12. What is the remainder when 194\/l + 16\/72 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 3)*(-29*n - 477 + 477) as u + p*n and give p.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(117)*-5.\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1049, 4, 3, 30 in decreasing order.\nAnswer: 30, 4, 3, 1, -1049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*j**2)*(4012 + 622 - 298 + 424 + 735).\nAnswer: 10990*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (81\/12)\/((-6)\/(-32)). Calculate the common denominator of (16\/20)\/(u\/310) and -2 + 1 + (-42)\/(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**4\/4 + k**3\/3 - 5*k**2\/2 - 5*k - 1. What is the remainder when 1 is divided by p(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/315894 and 13\/1745730.\nAnswer: 33168870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 6*c + 2*c = 17*c - 86, -2*i + 2*c - 22 = 0 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20808 and 4248.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/1 + (97 - (-47 + 115)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1428 and 2616828?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**4\/12 - z**3\/6 + 2*z**2 - 2*z. Let p be w(3). Suppose -5*v + 49 + 51 = 0. What is the highest common divisor of v and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, w: 9, m: 9}. What is prob of picking 3 w?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**5\/30 - 249*h**2 - 13*h + 1. Let j(o) = o - 272*o**2 - o. What is z(j(w))?\nAnswer: 147968*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6645, -26489, -59555, -105843?\nAnswer: -165353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 - 2 + 10*o - 7*o + 0*o + 4*o + (0*o + o + o)*(4 - 3 - 3) to the form f*o + z and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 2008602.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -76. Suppose -5*w - 4*q + 11 = 44, 5*w + b = -5*q. Put -1, 5, w in increasing order.\nAnswer: w, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 85\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 115*o + 185*o - 2316 + 8016 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 55*d**2 - 19 - 13.\nAnswer: -55*d**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -207957, -207950, -207941, -207930, -207917, -207902, -207885?\n\"Answer: j**2 + 4*j - 207962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -32*108\/(-8) - 3 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16962 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/151? (a) 1\/2 (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(931)*-1 - (sqrt(931) + sqrt(931) + 2 + -3))*-3.\nAnswer: -3 + 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 + 15\/(-6). List the prime factors of (26 + 0)*(-1)\/r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0. Let i(g) = -g**3 - 8*g**2 - 2*g - 10. Let j be i(-8). Let m(f) = 5*f**3 + 0*f**2 - f**2 + j + f - 5. Calculate m(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31783, 34596, 37409, 40222?\nAnswer: 43035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - s**2 + s. Let i be m(-1). Let c be 10 + ((-1)\/1)\/i. Suppose -2*x - j = -c - 15, -2*x + 42 = 5*j. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-5 + (-2 - -3))) + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, s: 1}. Give prob of sequence ee.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34690609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2352)\/(-9) - -2)\/(4\/6). Suppose -4*i + q = 5*u, 0*u - 79 = -u + i. List the prime factors of u.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.273 + -0.033. Let h = 8.76 + o. Let q = -3 + h. What is the nearest to -1 in q, 3\/4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19120 + -19121.80076. Let v = f - -1.8. What is v rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2802*l*t**2 + 1856*t**2 + t + 3 wrt l.\nAnswer: -2802*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -14*h**3 + 237*h**2 + 13*h + 78. Determine w(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 8*y - 448 = 4*g, 0 = -y - 4*g + 132. Let f = -104 + y. Calculate the highest common divisor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 93*o**2 + 25*o + 215. List the prime factors of r(-20).\nAnswer: 3, 5, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25389462666 - 8\nAnswer: -25389462674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117289845.\nAnswer: 3, 5, 823, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 359938349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -485282.37 to the nearest 10000.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/50*8)\/((-10)\/(-25))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 9 + 7 = 0. Factor -16 - 12*j - 76*j**3 - 22*j - 100*j**i - 13*j - 4*j**5 - 28*j**4 - 17*j.\nAnswer: -4*(j + 1)**3*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/10)\/(18\/(-675)*-15)*2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 141.6788807 to the nearest integer.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16233 - -16209. What is the third smallest value in n, 0, 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007649922032 to 5 dps.\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 + 33 = -4*i - 5*g, -2*i = -5*g - 65. Let w = i + -4. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + -12*1\/(-2). Suppose v*p = -n + 112, -n - 2*n = -3*p - 288. What is the remainder when 74 is divided by ((-12)\/(-10))\/(8\/n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + 4*y - 2*y + 2 + 2*y - 2 + (-1 + 1 - 1)*(-3*y + 2*y + 0*y) - 3 + 3 + 6*y + (4 - 3 + 0)*(y + 0*y - 2*y).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-one halves of a millisecond?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 0 - 11\/20*i**5 + 12*i - 9\/2*i**2 + 0*i**3 + 0*i**4. Find the first derivative of m(x) wrt x.\nAnswer: -33*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2825 = -5*w, -5*t + 1783 = w - 1722. What is the third derivative of -449*c**2 + t*c**2 - c**5 - 399*c**2 - c + 12*c**4 wrt c?\nAnswer: -60*c**2 + 288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1643616 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**4\/24 - l**2. Let i(q) = -33 - q - q - 7*q + 0*q. Let t(p) = p + 4. Let k(x) = -4*i(x) - 33*t(x). Determine k(b(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -266 - -3416. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -177.999372 + 178. Round s to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1727? (a) -4\/3 (b) 9685 (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2663728 and 1872?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (1 - (-5517)\/3) + -29 + 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*a = -128*a + 5640. Calculate the greatest common factor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 8.1. Let p = 2.9 + k. Which is the closest to p? (a) -2\/3 (b) 6 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**3 - 4*q. Let c(l) = 2*l + 0 + l**2 + 0*l**2 - 2*l**2 - 2. Let p(v) = v - 1. Let g(o) = c(o) - 2*p(o). What is u(g(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(-8\/3)\/(j**(-15)\/j**(-11)))**(1\/42) assuming j is positive.\nAnswer: j**(10\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -a6c8 (base 13) to base 9\nAnswer: -34670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(2*sqrt(10)*-6).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*s + 6, -2*i + 4*s = 5 - 3. Let x be 1\/2*(-1 - i). What are the prime factors of 9 + (0 - 1\/x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3197 is divided by 123.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1100 = 157*c - 152*c. Suppose c = -20*v + 860. Solve 3*d = 5*x + v, -5*x - d - d = 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/21 of a week?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -9801167 and -9801166 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.205.\nAnswer: -1.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 46380\/(-9)*(-36)\/(-4092). Let x = 498\/11 + k. Is x bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 12:35 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5245144 divided by -37?\nAnswer: 5245144\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 737748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y\/(y**0*y*y))\/y)*y**(-3))\/(y**(-1\/4)\/y)**(-1\/10) assuming y is positive.\nAnswer: y**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-2 - -4 - 3). Suppose -9 = -q*y + y. Suppose -32 = -y*z + a + 9, 3*z - 53 = -2*a. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 2:22 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2. Let z be 0*(-4)\/8*r. Suppose -d - 1172 = -5*h, z*d = 4*h + 3*d - 949. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/5, -0.2, 0.54.\nAnswer: -0.2, 1\/5, 0.54, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 5*z - 15, -6*m + 2*m + 5*z = 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 + 12*x + 84. Calculate s(10).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 476. Let v(p) = 9*p**2. Determine v(g(u)).\nAnswer: 36*u**2 - 17136*u + 2039184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17961523\/3208968 - -3\/44569. Let i = -47\/9 - z. What is the smallest value in i, 1, 6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4 - 3492*x**3 + 824094*x**2 + 5039172*x + 7606143 = 0 for x.\nAnswer: -3, 339, 831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzdsdasux. Give prob of sequence dz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*b + 4*q - 8*q + 25, -24 = -3*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-28) - (-8)\/32.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/5*875\/250)\/(2\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22426376752 - 22426376752 + 22*v.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -0.45, 4\/7, 2\/5, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1377.7636 + -1378. Let z = 0.1 - 0.35. Let f = w - z. What is f rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**8\/168 - 11*s**4\/24 + s**2 + 9. Let b(t) be the second derivative of w(t). What is the second derivative of b(g) wrt g?\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2 - 570*z + 1136 = 0.\nAnswer: 2, 568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 90823*a**2 - a + 12. Let y be i(-4). Suppose -1826816 = t + y. What is t rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d**2. Let j be 6\/(1207\/142 - (1 + 7)). Let k(b) be the third derivative of -j*b**2 + 0 + 0*b**3 - 1\/30*b**5 + 0*b + 0*b**4. What is k(m(z))?\nAnswer: -72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + -651686?\nAnswer: -651664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136 or -1752\/13?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193231, -193235, -193239, -193243, -193247?\nAnswer: -193251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(5\/2))\/((-2)\/(-35)). Let l = v - -69. Calculate the remainder when l is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 48671, 97372, 146119, 194912, 243751?\n\"Answer: 23*g**2 + 48632*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 3*f = -30, 0 = -2*d - 4*f + 9*f + 29 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 17 = -16*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 1409780141?\nAnswer: -1409780135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34295 is divided by 490?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 12:41 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 14 = 26. Solve -10 = 5*p + 3*z + q, 2*p + 2*z + 8 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -279, -418?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 933695 and 245?\nAnswer: 933695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (71 + -53)) + 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - 13 - 27 - (-2 + 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 82 - 100 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + 3.8. Let r = -1841\/15 + 617\/5. Which is the second smallest value? (a) 5\/3 (b) u (c) -1\/2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 34 - 10. Let j = k + -40. Let f be j\/(-24)*(-3)\/(-2). Solve -6 = 2*r - f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20 - -7)\/(-130))\/(3\/(-6)). Put 2, l, 1\/3, -1\/24, 0.3 in descending order.\nAnswer: 2, 1\/3, 0.3, -1\/24, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.37 + 40?\nAnswer: 36.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 924.81 - 929. Which is the second biggest value? (a) 4 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**3\/3 + m**2 - 26*m + 522. Let n(t) = 2*t**2 + 5*t - 53. What is 2*n(h) - 5*y(h)?\nAnswer: -h**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -23*y. Let n(a) = 0*a + 3*a + 2*a - 2*a. What is -24*n(p) - 3*v(p)?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 8:10 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47105.\nAnswer: 5, 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/289 and 61\/10.\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 5*p + 4. Let l be b(-4). Let r be 18\/(8\/(l\/4)). Solve 2*x + r = 3*s, 3*x - 7 = 5*x - s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25811092 to the power of 1\/2, to the nearest integer?\nAnswer: 5080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x = 24*x - 14. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**4\/4 + 2*s**3 - 3*s**2 - 6*s + 1. Let r = -163 - -145. Let l(k) = k**3 + 16*k**2 - 36*k + 5. Let f be l(r). Give m(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 698012.6 years to centuries.\nAnswer: 6980.126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 930*d**4 - 3*d**2 - d - 2540.\nAnswer: 11160*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r. Let i(l) = -11*l + 61981. Determine s(i(w)).\nAnswer: 88*w - 495848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -31a27 (base 11) to base 7\nAnswer: -252356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/183136 and -1\/4.\nAnswer: 183136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*sqrt(48)*2 - -1*sqrt(48)*5)**2.\nAnswer: -2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3043460488.\nAnswer: 2, 380432561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - 2) + -28 + -8 + (-5 - -49)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -636*b - 48. Let d be h(6). Let s = d + 2700. Is ((-2)\/(-8))\/((-3)\/s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqxf when four letters picked without replacement from qqqfffqqfqqxqq?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2 + 6*(sqrt(684)*-1 - sqrt(684)))*-5 + 4)*-4.\nAnswer: -1440*sqrt(19) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86699?\nAnswer: 181, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, k: 1, x: 1}. What is prob of sequence ox?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29877 is divided by 701?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6)*(-9 + 15). Let t(r) = r - 4*r + 3*r - 39 - 3*r. Let i be t(-17). Solve 2*l = -d*o - 3*o + 8, 0 = 3*l + 4*o - i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*k + 10 + 27 = 0, 48 = -3*t + 2*k for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003461595772 rounded to six decimal places?\nAnswer: -0.003462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 - 2*s**3 + 2*s**3 + s**3 + 3*s**3 - 2*s**3 + (-4 + 4 - 2*s**3)*(1 + 0 + 1) + (5*s**2 - 2*s**2 - 4*s**2)*(-1 + 1 - 2*s) - 583*s + 583*s + 129*s**3.\nAnswer: 130*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 - 210*d - 9751. What is v(103)?\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, 161, 160, 159, 158?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 2 (c) 3 (d) 1\/51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2304? (a) -5712\/5 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -757851, -757778, -757661, -757500?\nAnswer: -757295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-54)\/(-5) + (-4)\/5. Suppose 6*l = l + t. Let s be (-15)\/(-2) - (-2)\/4. Calculate the highest common divisor of l and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**3 + 0*n**2 + 5*n**3 - 2*n**4 - 7 + 3*n**4 - n**2 to the form r*n**3 + t*n**2 + s*n**4 + c + a*n and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/21 - (-8)\/(-28). Suppose 5*b + 0*b - 105 = d. Let x be -9 + (8 - 1) + b\/(-2). Is x greater than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 453*v + 38569. What is the thousands digit of q(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025986401 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102475, -102424, -102299, -102064, -101683, -101120, -100339?\nAnswer: -99304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4305 + 22*s + 4278 + 17*s. Let g(q) = 3*q - 2. Let p(l) = -27*g(l) + 2*i(l). Let x(t) = 4*t. Calculate x(p(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -189 times -1\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8814)\/(-72)*6)\/((-2)\/(-16)) a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -52, -3?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, 176, -3, 8.\nAnswer: -11, -3, 4, 8, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10468080169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110111101 + 10001001?\nAnswer: -100100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -889573\/6 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -18*j - 3604. Let r(w) = -26*w - 2. What is r(f(m))?\nAnswer: 468*m + 93702","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.068 * 0.054\nAnswer: 0.003672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -158 - -2688\/17. Let m = -0.2 - -0.4. Sort j, 1, m in increasing order.\nAnswer: j, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 67 - ((-1)\/(-6))\/(1\/(-6))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 37*b**2 - 267*b + 6. Is n(23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -79 + 11*a - 77 + 2*a**2 + 141. Calculate the smallest common multiple of g(2) and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ba - 6216?\nAnswer: -62d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -1, 141.6, -186\/515?\nAnswer: -186\/515","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*p - 120. Suppose -p*b + 24*b + 1668 = 0. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -1\/10, -138230 in increasing order.\nAnswer: -138230, -1\/10, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1336 + -13?\nAnswer: -1351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -277*s - 513. Let p be j(-5). Calculate the highest common factor of p and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 450 and 43164?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f - 4*r + 66, 0 = 5*r - 5. Calculate the remainder when 64 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - o - 1, -2*y = -7*y - 4*o + 22. Suppose -m + 7 = y*m + 4*b, 0 = -2*m + 3*b + 16. Let r(t) = -t - t + m*t. Give r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*m - 127, -5*m + 24 = -t - 14. Let p = 45 + t. Let k(o) = o**3 + 2*o - 4. Let w be k(p). Sort -3, 0, 3, w in descending order.\nAnswer: w, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 173*p*v**3 + 6*p*v + 4290*p - 2281*v**3 + 106*v**2 - 2127 wrt v.\nAnswer: 1038*p*v - 13686*v + 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 2*d + 5. Find the first derivative of -1 - 1 + 4*g**2 - 3 + d wrt g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 9*b**2 + 8. Let t be f(9). List the prime factors of t\/3*(956\/8 + 2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*o + 48, -3*r = -0*o + 4*o + 80. Let j = r + 182. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**20)**(8\/11)\/(l**(-2\/5)\/l**(-7)) assuming l is positive.\nAnswer: l**(437\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 206*j**2 - 19 - 213*j**2.\nAnswer: -7*j**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4\/2 + 295*f**3 - 1195*f**2\/2 + 300*f.\nAnswer: 5*f*(f - 1)**2*(f + 120)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54295 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.17 + 0.146. Let b = -0.0318 - q. What is b rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1*(sqrt(171)*2 + sqrt(171) + 1 - 3*(sqrt(171) + (sqrt(171) + 1 - sqrt(171) - sqrt(171)))))*-5)**2 + -5.\nAnswer: -1800*sqrt(19) + 38870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/81 in 0.4, -1\/89, -0.2?\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**4 + 4*o**3 - o**2 - o + 1. Let v(c) = -7*c**4 - c**3 + 29*c**2 + 3*c - 3. Let s(h) = 15*g(h) + 5*v(h). Let s(a) = 0. What is a?\nAnswer: -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -642 = -4*i + 182. Suppose -33*m + i = -31*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14793598 divided by -242518?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 7*m - 47 = 0, 252669*m + 18 = d + 252672*m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 29. Let d = 22 - h. What is the highest common factor of d and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 + 3*q**2 - q**2 + (q - q - q)*(0*q + 8*q + 7*q) + 3*q**2 + 0*q**2 - q**2 + q - 2*q**2 - q.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-5))\/(45\/(-189)*87\/725).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 25433120941677?\nAnswer: -25433120941680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.085 + -26.085. Let g be (-4)\/14 - 11\/35. What is the second biggest value in v, -1\/7, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9)*u*u*u**11)\/(u**(-7)\/((u**4\/u)\/u)) assuming u is positive.\nAnswer: u**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2. Let r(t) = -48613*t. Determine r(i(j)).\nAnswer: -194452*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1478 - -1481. Solve 0 = -8*a + 7*a + x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -18*u**2. Let x(i) = -6*i**2. Give x(g(z)).\nAnswer: -1944*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*j = -13, -c + 3*j - 5 = 6. Let a be (-5)\/c*(-21)\/(-15). Let n = a - -104. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 8*n**2 + 7*n + 7. Let h be s(7). Let m = -1 + h. Solve -x = -m*x - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8931\/155 + 158\/155. Let m = f + 2083\/30. Find the common denominator of -97\/16 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -156*k**2 + 2*k. Let i(w) be the second derivative of -w**3\/2 - 1019*w. Determine i(f(h)).\nAnswer: 468*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 7*t**2 + t - 8. Let c be v(7). Let o be (-3)\/(-6)*6\/c. Let w = o - -10. What is the least common multiple of w and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 22 = 3*y, -t + 6 + 8 = 4*y. Let f be ((-3)\/1 + -1)\/t. Suppose -f*z + 3 = -5*z. Which is smaller: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*i**3*j*x + 224*i**3*j - i**3*l*x + 15*i**2*j*x + 994754*i*j*l*x - 2*j*l + x wrt l?\nAnswer: -i**3*x + 994754*i*j*x - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 7:00 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ae51 + -3?\nAnswer: ae4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((6\/27)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*s*s**5)**1\/((s**1*s)**(-47)\/((s*((s\/s**(-4\/3))\/s)\/s)\/((s\/s**(-1\/3))\/s))) assuming s is positive.\nAnswer: s**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(272) + sqrt(272) - sqrt(272))**2 + -4).\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 122816200 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 5*d - 30, 14*p + 11 = 17*p + 4*d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18709.677 months to decades.\nAnswer: 155.913975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28857 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42*((-1)\/6*-33 + 112\/(-16)). Suppose 3*n + 2*s - 546 = -s, -5*n + 3*s + 926 = 0. Let c = n + f. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 5\/2*f**3 + 1\/32*f**4 - f**2 + 0*f - 74 - 1\/80*f**5. Determine x, given that s(x) = 0.\nAnswer: -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 13 = 4*g - 35, 27 = 5*z + 3*g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 4 (c) 8 (d) 39 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/8)\/(75\/207420). Let j = p + -2418. Find the common denominator of j and 452\/63 + 4\/(-14).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oozr when four letters picked without replacement from rrozrroro?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*z + 7 = -73*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -7. Let p = 29 - 10. What is the remainder when p is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2.558, 0.3, 1\/7, 0.1, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -12*u - 8 - 4 + 12. Let z(g) = 19*g + 17*g - 88*g + g + 19*g. Give z(m(p)).\nAnswer: 384*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4\/2 + 363*g**3 - 2191*g**2\/2 - 1458*g = 0. What is g?\nAnswer: -729, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-3 + 3 - k) + 135*k + 32*k - 271*k.\nAnswer: -102*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**21)\/w*w)\/w**(-26\/7))\/(w*w*w**9*w\/(w*w**(-31))*w) assuming w is positive.\nAnswer: w**(-121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**4\/3 + g**2 - 45. Let x(b) = -52*b. Give x(o(a)).\nAnswer: 416*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6011507 plus -0.6?\nAnswer: 1.0011507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1009376, -1009359, -1009330, -1009289, -1009236, -1009171, -1009094?\n\"Answer: 6*k**2 - k - 1009381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 77 - 77 + 36*u**2 as d + y*u + t*u**2 and give t.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 50 = 56. Let m be ((-2)\/g)\/((-18)\/(-36)). Put m, -5, 2, -2 in descending order.\nAnswer: 2, m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3159615?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 3:27 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 3*r - 14, -2*v + 3*r = -5*v - 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91*r**6 - 90*r**5 - 4*r**2 + 6*r + 24 wrt r.\nAnswer: 10920*r**3 - 5400*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**13\/(n\/((n**13*n)\/n*n)))**(-2\/133) assuming n is positive.\nAnswer: n**(-52\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 26*m - 53. Let p be ((-782)\/(-136))\/(2\/8). Give v(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g + 8. Let a be i(-3). Suppose 0 = a*t - 10, 2*t - 12 + 5 = c. Suppose 2*o + 6 = 3*s - c, o + 3*s = 9. Sort -1, o, 21 in increasing order.\nAnswer: -1, o, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -987.89 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -28, -66, -132, -232?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**2\/2 - 2*n - 96. Let i = 0 - -2. Let a(o) = 3 + 2 - i + 2*o. Determine -5*a(r) - 8*t(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 928 by 2.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.32 less than 784938?\nAnswer: 784939.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 204580303 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h - 804. Let y = h - -573. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/51842 and 65\/31262.\nAnswer: 16537598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 18*g + 12, -31*y + 27*y = 5*g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 0.074.\nAnswer: -0.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 8, -5, -0.4, 2\/43, 6 in decreasing order.\nAnswer: 42, 8, 6, 2\/43, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 0, -0.248, 0.5, 2\/7, 436, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/40 and 29\/50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -542 divided by -25\nAnswer: 542\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*h*w**4 + 64*h*w**2 + 2*w**5 + 2*w**4 + w**2 wrt w.\nAnswer: -768*h*w + 120*w**2 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 2*t + 2*t)*(-75*t**2 + 4*t + 5*t**4 + 75*t**2) - t**5 + 4*t**2 - 4*t**2.\nAnswer: 14*t**5 + 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4737 is divided by 1543?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 526714, 526711, 526708?\nAnswer: 526705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393640 = 112*f - 177*f. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 3*u - 36900 = -14*z, -12298 = -z + u. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59.897 - -0.103. Let w = q - -618. Let d = w - 677.442. What is d rounded to 2 decimal places?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242, 231, 216, 197, 174?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -48*t + 147. Suppose 6*a - 88 = -70. Let d be n(a). Solve 5*w - 4*z = -3 + 33, -11 = -d*w + z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 2*a - 400816 - 400818 + 801632 + 145*a**2.\nAnswer: 145*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (556\/2780)\/((4\/10)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 208 + 1126 = 0. Suppose 0 = -5*s - k - 153. Is -52 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -s + 1, -22*u = -21*u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 26*v**2 + 604*v + 874. Determine r(41).\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 + 2*i**2 + 5*i - 4. Let v be (8\/10)\/(2\/10). Let w(g) = 10 + 50*g - 5*g**2 - 64*g - 1 + 5*g**3 + 2. What is v*w(p) + 11*k(p)?\nAnswer: -2*p**3 + 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(16\/2)\/2. Suppose -9 = 3*u - 3*r - 21, 2*u = 5*r + k. What is u rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 1159.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/66)\/(1\/7) + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 1)*(-6)\/2. Let m be (-1)\/(((-6)\/(-4))\/l). Let a(i) = 15*i + 1. What is the remainder when a(m) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -119, -119, -121, -125, -131?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7, -6, -41, -110, -225, -398, -641?\n\"Answer: -2*o**3 + o**2 - 2*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 - (114 + -117)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 o, and 1 v when three letters picked without replacement from beyeybebboevebbeevb?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 12*s - 4. Solve 6 + s = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + v + 2, 3*d - 12092 = -2*v. Let h = d - 120869\/30. Let t = -34411\/126 + 2519\/9. Find the common denominator of t and h.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49 and 414.\nAnswer: 20286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16.3 in 4, 2, -1, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*y + 5*n + 26, 0 = 4*n + 8. Calculate the remainder when 2\/(-3)*(-930)\/20 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 13*d - 21. Let m be f(2). Factor m*i**3 - 2*i**4 + 23*i**2 - 35*i**2 + 5*i**3.\nAnswer: -2*i**2*(i - 3)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31245707 rounded to the nearest 100000?\nAnswer: -31200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6)*(-168)\/126*(-30)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 3*w - 1. Let r be v(4). Let t(h) = 319*h + 15954. Let n be t(-50). Solve -r*a + 5*j = -1 - 1, -4*a - n*j = -24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/9 and 62\/315.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30752087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 11*q**2 - 14*q. Let b(a) = 348 - 177 - 171 + 2*a**2. Calculate h(b(k)).\nAnswer: 44*k**4 - 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + 34*w - 32. Let n = 0 - -6. Let r(o) = -o**2 - 17*o + 16. Let x(s) = n*b(s) + 11*r(s). List the prime factors of x(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -57997*c + 1155. Is o(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 2)\/(20\/420) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -180 - -280. Let g = -100 + f. Find the second derivative of 14*y + 10*y**5 + 0*y**3 + g*y**3 + y wrt y.\nAnswer: 200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1419174 divided by -3\nAnswer: -473058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 173 - 166. Suppose -29*b + r*b = -220154. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 1 = 2*j, 2*j - 3 = -1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u + 36 = -24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 5146bb?\nAnswer: 5146ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -21*n**3 + 11*n**2 - 4*n**2 + 22*n**3. Let s be f(-7). Solve -4*l + w + 9 = s, 3*l - 2*l - 3*w - 5 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2.81, -3\/5, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - (2 + 548\/(-4)). What is the highest common divisor of 344 and c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -17835*s. Let k(q) = 19*q - 1. Calculate k(x(b)).\nAnswer: -338865*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233, 167, 57, -97, -295, -537?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -172*f + 34 + 361. Suppose 2*v - 4*v = -s + 4, 3*v + 27 = 5*s. What is the lowest common multiple of s and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -78 + 3a828b?\nAnswer: 3a8213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = -1316 - 2284. Which is bigger: 226 or x?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307687253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2. Let q = 18 + -9. Suppose -7*p + 4*p = -q. Let a(h) = -2*h**2 - p*h**2 + 0*h**2 + 6*h**2. Give a(l(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -97 and 1.893?\nAnswer: -183.621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8*t**2 + 43*t - 3. Let f be o(5). Calculate the greatest common factor of 66 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10*u**2 - 1. Let q(k) = -2*k**2 + 14*k - 19. Let r be q(5). Determine f(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1140)\/(-456))\/((-4)\/(-224)*-4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*d + 4*p + 27, 0 = d - 4*p - 18. Suppose f = d*f. Let n be -230 + 0\/(f - -2). Round n to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -265913.510699\nAnswer: 265909.510699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -13*t**3 - t**2 - t - 1. Let o be g(-1). Let d be (-288)\/(-9)*(-3)\/((-12)\/10). Suppose 0 = o*a - 14*a + d. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 51\/5 (b) 1.3 (c) -0.3 (d) 20 (e) -12 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131*n**5*z - 8*n**2*z**2 - 2*n*z + 4*n + 41*z**2 wrt n.\nAnswer: 2620*n**3*z - 16*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f**3 - 183*f**2 + 352*f - 773. Determine u(21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329 divided by -259.\nAnswer: 47\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z = -5*u + 6*z + 30, 3*z = 5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511*o = -2879*o - 1239*o - 234455 for o.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -86, -697, -2350, -5567, -10870, -18781?\n\"Answer: -87*l**3 + l**2 - 5*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**4 + q - 1. Let x(u) = 16 + 3*u**2 - 202*u**4 - 55 + 201*u**4 + 3*u - 9*u**5. Let v(p) = -l(p) + x(p). Find the second derivative of v(n) wrt n.\nAnswer: -180*n**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1536*d - 1549*d + 64 + 53 = 0. Calculate the lowest common multiple of d and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1058. Let g(n) = n + 2. Calculate -2*g(c) - z(c).\nAnswer: -2*c - 1062","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 0*m + 10 - 2*m + 2*m.\nAnswer: -4*m**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11 - 12\/(-1 - 2). Sort 3, k, 1, -0.3 in decreasing order.\nAnswer: k, 3, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a meter in millimeters?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 9:35 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1942, -2, 1 in decreasing order.\nAnswer: 1, -2, -1942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v\/(v*v\/v**14))\/v*v)**(-28\/3))**7 assuming v is positive.\nAnswer: v**(-980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. Suppose n*x + 20 = 7*x. Let z = -113 - -119. Solve 2*o + 8*p + z = x*p, 0 = -2*o - 2*p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-20)*5)\/(1\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -1555*u**4\/12 + 29*u**3\/6 - u**2\/2 - 1373*u. Find the second derivative of f(x) wrt x.\nAnswer: -3110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8668*v**2 - 43455*v**2 + 8520*v**2 + 8676*v**2 + 8716*v**2 + 8620*v**2.\nAnswer: -255*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2209513 divided by 12\nAnswer: -2209513\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/48 in -2, 7, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337164 is divided by 1694.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Suppose 0 = -j*n + n - 2. Let m be n + -3*10\/(-6). Solve k + m = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**5 - 124*r**4 - 3843*r**3 + 124*r**2 + 3844*r = 0.\nAnswer: -62, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 456934145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -3)\/(((-9)\/(-6))\/(-1)). Factor 4\/3 + 2\/3*y - b*y**2.\nAnswer: -2*(y - 2)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3700*d - 206969. Give n(-56).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 421548 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.594*-0.1862\nAnswer: -0.1106028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49001*n**3 + 38234*n - 4?\nAnswer: 294006*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37114*g**2 + 2*g - 10063 wrt g?\nAnswer: 74228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1114*z**2 + 14*z - 1112*z**2 + 0 to the form l + n*z + p*z**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + 3 + -16 + 9 - -26. Let c = -291 - -419. Calculate the highest common factor of m and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17226361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 5*t**2 - 7*t - 10. Give y(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/19, 28, -0.5, -3\/4, 5, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -2*s**2 + s - s**3 - 4 + 1\/4*s**4. Let y be c(4). Calculate the greatest common divisor of y and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2134743.6 - 16\nAnswer: -2134759.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -201514 - -1?\nAnswer: -201513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*m + 106*m - 34 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2824 is divided by 135?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103301810*f**6 - 2*f**3 - 6862*f**2 - 1690*f wrt f?\nAnswer: -12396217200*f**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 118920977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 4:36 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t - 15. Suppose n - 30 = 7*n. Let z be k(n). Suppose -z*g + 60 = -425. List the prime factors of g.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*y + 6. Which is the third biggest value? (a) y (b) 0 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 5*a + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-10)*(-109)\/(27468\/1050)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 8, 2*m - 54 = -2*l + 58. Suppose 4*v + m = 7*v. Let x be (-51)\/(-2) + (-2)\/4. Solve 5*i + x = 4*u - v, -u = -5*i - 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.012 - -59653.\nAnswer: 59652.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -30, 4, 7 in descending order.\nAnswer: 7, 4, 3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 + 88563*t\/4 + 34844293\/2.\nAnswer: (t + 794)*(t + 87769)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 10*v - 396. Let d be g(42). Solve 9*z - z = -d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3898535 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18927 and 5139.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -68. Let j(n) = -85*n**2 + w*n**2 + 39*n**2. Let z(d) = d**2. Give z(j(f)).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 657*o.\nAnswer: -657*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + 2*sqrt(48))**2.\nAnswer: -772 - 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/((-660)\/(-15))*7*2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*c**3*i**3 + 92*c**2*i**3 + 26*c*i**3 + 5*c*i - c + i**2 wrt c.\nAnswer: 186*c*i**3 + 184*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 37726448 divided by 2\nAnswer: 18863224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.6 (b) 2\/15 (c) -62.4 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341133 is divided by 13119?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 89164529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/2? (a) -18 (b) 1\/7 (c) 14.756 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 14*l - 30. Suppose l*k + 12*k - 1750 = 0. Is k a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 11*q. Let o(w) = 6*w**2 - 10*w + 1323. Give o(t(y)).\nAnswer: 726*y**2 - 110*y + 1323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 4. Suppose -j + 8 = 4*k - 6*j, 0 = 3*k + j - t. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-5)\/(-25)*1\/(-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 8*b**2 - 12*b + 5. Let q(y) = 6*y**2 + y**2 - 771*y + 790*y. Let i be q(-3). Calculate l(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, b: 6}. Give prob of sequence by.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1176258.\nAnswer: 2, 3, 196043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6667 and 2001103?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.74 - 3.8. Let h = -0.06 - p. Let j = 415 - 1659\/4. Which is the third smallest value? (a) j (b) 11 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -341 + 709\/2. Let d = -211\/4 + 53. Find the common denominator of d and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 466050159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 14036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**3 - 4365*u**2 + u - 8815?\nAnswer: 12*u - 8730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 78.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/20 + (-113)\/(-5). Let w = b + -21. Is (642 - -2) + (5 - w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10) + (-1306)\/10. Let w = -75 - k. What is the smallest common multiple of 14 and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-75)\/45*(-5 + (-147)\/(-30)). Let h = -3 + 2. Which is the closest to 0.1? (a) -6 (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34.4 - 34. Let x = -341 + 11589\/34. Let v = -127\/170 - x. What is the nearest to 1 in -1, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/18)\/((-24)\/(-36)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 9 = -3*x, 2*x - 3*x - d + 1 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -368, -503, -638?\n\"Answer: -135*h - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 266999112 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14200 divided by 1420?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**7\/1050 - n**6\/300 + n**5\/300 - 5*n**2. Factor g(o).\nAnswer: o**2*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-644)\/2392*3\/42*4*2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2988 + 8963\/3. Sort -1, f, 5, 1.1, -1\/6.\nAnswer: -1, f, -1\/6, 1.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p*p*p**(-2)*p)\/p)\/p)**(13\/4))**(-45) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 11\/20*v**5 + 0 + 0*v**3 - 2\/3*v**4 - 3*v + 0*v**2. What is the third derivative of l(j) wrt j?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8583498 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/6*1\/10*12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -430890 != -430890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1229255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99281 - 48785 = 789*c for c.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1044, -2639, -5306, -9579, -15992, -25079, -37374?\nAnswer: -53411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/12 - 14\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2079, 2408, 9887, 20358?\n\"Answer: 1496*c**2 - c - 3574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8981373?\nAnswer: 3, 2993791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013685195 to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 1\/6*k**3 + 2 + k + 0*k**2. Let b(r) be the first derivative of l(r). Let u(x) = -3*x**2. What is b(u(i))?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c + 42*c = -450. Is 11 a factor of (c - -3)*(-3)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 + -184. Let d = h - -106. Let s = 52.3 - d. Put s, 0.2, -8 in decreasing order.\nAnswer: s, 0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 69*t - 6. Is q(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from {v: 2, e: 5, m: 3}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3210, 3232, 3254, 3276, 3298, 3320?\n\"Answer: 22*l + 3188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10157800 rounded to the nearest one hundred thousand?\nAnswer: -10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10*z**2 + 3. Let v(m) be the third derivative of m**5\/5 + 2*m**3\/3 - m**2 + 10. Let j(a) = -6*v(a) + 8*w(a). Let k(r) = -11*r. Determine j(k(y)).\nAnswer: 968*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220202202120 + -121?\nAnswer: -1220202210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 12:26 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and (-3 - -2)\/(3\/(-18)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 20. Let r = -21.9 + a. What is the nearest to 0 in -1\/7, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 1140 = 4*w, 0 = 5*w + 17*d - 21*d + 1398. What is the tens digit of -4 + -2 + w\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100286293?\nAnswer: 71, 1412483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23951465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - -7023?\nAnswer: 7016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1063 (base 8) to base 2.\nAnswer: 1000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -31*c**2 + 16*c + 25. Let a(n) = 8*n**2. Let p(x) = -4*a(x) - b(x). Calculate p(-16).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12573 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 140711450699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -77, 2, -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 9. Let q = 142235 - 142239. What is the biggest value in q, 1, -13, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7022*t**5 - 28078*t**2 wrt t.\nAnswer: 421320*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -390 (b) -1.7 (c) -2.88 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 17*r**2 + 455*r - 106. What is d(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 3 - (-92 + (-7 - -2)).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a factor of 6361887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = q + 5*n, -5*q - 1 = -5*n + 4. Let m = -1 - -4. Suppose -m*r - 23 = -3*s - 2, s = -3*r - q. Let u(d) = d**3 - 5*d**2 - d + 3. Determine u(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*w - 997 - 103 = 56*w for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 - i - 1. Let z(w) = w**3 + 13*w**2 + 37*w - 31. Let x be z(-8). Let h(d) = 13*d**2 - 2*d - 3. What is x*v(s) + 2*h(s)?\nAnswer: -2*s**2 + 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -194\/53 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 0 - 7\/24*r**4 + 0*r**3 + 0*r + 16*r**2 + 1\/8*r**6 + 0*r**5. Find the second derivative of s(h) wrt h.\nAnswer: 90*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*v - 2*o, 0 = -2*v - v - o + 10. Solve d - 12 + 9 = -k, -5*d = -v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -1839994*i**3 - 2*i**2 + 3*i - 2. Let l = 48 + -47. Let q be s(l). Let j be q\/(-5) - (1\/1 + -2). What is j rounded to the nearest ten thousand?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 12*i - 187. Let h be w(16). Let b(x) be the second derivative of 0 + 1\/6*x**4 - x**2 + 3\/10*x**h - 2*x - x**3. Factor b(l).\nAnswer: 2*(l - 1)*(l + 1)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*z + 116*z - 63*z - 17 as t + b*z and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 431\/145)\/(21 + (-776)\/40)?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5199.221 meters?\nAnswer: 5199221000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**5\/5 - 122*r**4\/5 - 124*r**3\/5 + 122*r**2\/5 + 123*r\/5 = 0.\nAnswer: -1, 0, 1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5) + 8\/20. Suppose 2*v + f - 15 = t, 4*v - 3*f - 42 = -f. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 + 6*d - 1 - d**2 - 4*d**2. Let j(t) = 3 + t - t + 10*t**2 - 30*t + 1. Let z(a) = -3*j(a) - 16*m(a). What is n in z(n) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/175*(-112)\/(-544).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -4598850\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/9)*m**7)**(-26))**(9\/8) assuming m is positive.\nAnswer: m**(-793\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1310479\/18159 + -3\/12106. Let h = r - 72. Let o = 3\/38 - -143\/114. Which is the biggest value? (a) -1 (b) h (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 61 = 41. Let o = -13 - -5. Let b = -0.2 - -0.1. Sort b, o, l in descending order.\nAnswer: b, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 + 13*k**2 + 9*k - 8. What is o(-6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/947608 and -119\/45852.\nAnswer: 2842824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 - 7*s**3 + 14*s - 14*s + 3*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 8*l**2 + 30*l - 23. Let g = 65 + -59. Let w be z(g). Calculate the highest common factor of 34 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153 = -3*j + 60*w - 366 - 378, 0*j - 5*w = 2*j - 56 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(-4 + 6 + 0)*(-20*f - 43*f - 14*f).\nAnswer: 154*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, 0.01708, 0, -2\/17, 2\/141?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 857 = 1333. Are v and 220 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3689 divide 6884736432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -0.76\nAnswer: 9.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -5948.\nAnswer: -1784.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 986 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74249 * 6.\nAnswer: -445494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (50 - (63 - -6)) + -38\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000704304262 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllllll. What is prob of sequence llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -0.1, -14509, 2\/13?\nAnswer: -14509","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1388 and 24.\nAnswer: 8328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2\/209 (c) -4 (d) 8189\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 9 - (3 - 13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 3*y + (-y + y - 2*y)*(-2 + 4 - 1) - y + 2*y + 0*y + (5*y - 4*y + 2*y)*(-2 + 2 - 2) - 65*y - 58*y - 103 + 102.\nAnswer: -127*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5668*r**2 - 22673*r - 10. Calculate p(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + -15. Calculate the highest common divisor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaraaaaraaaaaaarar. Give prob of picking 1 r and 1 a.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 8\/60 + 3670\/(-525) + 4.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16125 (base 12) in base 16?\nAnswer: 7a2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c - 48 = 0. Suppose 4*k = -k + 60. Calculate the greatest common factor of c and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111306 times -1.29?\nAnswer: -1433584.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b1cd + 3a?\nAnswer: -2b193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 + 75*j**2 - 119*j**2 - 2*j**3 + (1 - 4 + 15)*(2*j**3 - 4*j**3 + j**3) - 4*j - j**3 + 4*j.\nAnswer: -12*j**3 - 44*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/77439?\nAnswer: 2\/77439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - -12 - 54 - 36 - (0 - -8)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 2095861\nAnswer: 6287583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*r**3*w**4 - 3*r**3*w**2 - r**3*w - 446*r**2*w - 3417*r*w**4 - r*w**3 - 9 wrt w?\nAnswer: 504*r**3*w - 82008*r*w - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -343*u + 132967 - 108957 for u.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1967 + 2772. Let h = n + -394. Is h\/((-3)\/(-6)*3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/127, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/4428 and -45\/140179.\nAnswer: 15139332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -367 - -372. Let v(f) = 14*f**2 - f - 38. Is v(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2331.476 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 11 + 3. Let k(s) = s - 2*s - r*s. Let z(t) = 0 + 6*t**2 - 4*t**2 + 0. Calculate k(z(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, e: 14}. Give prob of sequence epp.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-35)\/1340) + (-2)\/(-7). Let r be (3\/2)\/(i\/4). Which is greater: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*l = -1981 + 1585 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/226296 and 163\/5544.\nAnswer: 2489256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/299 equal to 1\/1073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(17\/(-306)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 6:40 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 + 150 = 39*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*o - 22. Suppose 0 = 5*q - 5*b - 50, 3*b - 48 = 2*q - o*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17600 or 18575?\nAnswer: 18575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 - 3*u**2 - 4*u + 7. Let l(g) = 5*g**3 - 7*g**2 - 9*g + 13. Calculate 9*j(b) - 4*l(b).\nAnswer: -2*b**3 + b**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**3*x*z**4 - 2*l**3*x*z + 3*l**2*x*z**2 + 79*l*x*z**3 + 757*x*z + 5*z**4 wrt z.\nAnswer: -96*l**3*x*z + 474*l*x + 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvg when three letters picked without replacement from {g: 2, v: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (20 - 17 - -52) - (25 - 6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1402343 (base 5) in base 10?\nAnswer: -28473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*c = -4 + 21, 2*i + 5*c = 13. Sort i, 41, 3.\nAnswer: 3, i, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -15*l + 6. Let b(y) = 14*y - 7. What is -5*b(d) - 6*p(d)?\nAnswer: 20*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**21\/h**13*h**(-9)*(h\/(h**(-22)\/h))\/h)**(24\/11) assuming h is positive.\nAnswer: h**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 147*y - 42*y)*(-122 - 137*y - 131 + 138*y).\nAnswer: 105*y**2 - 26565*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 575*m - 1704. Let h be o(3). Determine x so that -h + 32\/3*x**3 - 4\/3*x**4 - 88\/3*x**2 + 32*x = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/39? (a) 0.0749 (b) -2 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3333214 (base 6) to base 14\nAnswer: 4529c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, -13182 in ascending order.\nAnswer: -13182, -11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 4*c. Suppose 2*h - 2*y - 10 = 0, 2*y = -c*h - 4*h - 4. Solve 3*j + 11 = 4*k, -h = 2*j - 5*j - 2*k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + (-22 - 7) + -25?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-8\/3)*n\/(n*n\/(n\/(n\/(n*(n\/n**(-5))\/n*n)))*n)*((n*n\/((n*n*n**(-17)\/n)\/n))\/n)\/(n**(-2\/13)*n) assuming n is positive.\nAnswer: n**(760\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 30a?\nAnswer: -30a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-669 + 1339 - 1186*y - 670)*(1 + 2 - 2) + y - 6 + 6.\nAnswer: -1185*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n**3 - n**3 + 0*n**3.\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**7\/70 - 29*k**6\/20 - 47*k**5 - 1323*k**4\/4 + 3645*k**3\/2 + 365*k**2 + 4. Solve y(b) = 0.\nAnswer: -27, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 5*n - 33, -4*k + 0*k + 3 = -n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**2 + 9*q**3 - 7*q**2 + 4 + 1 + 5*q. Let i(u) = -13*u**3 + 5*u**2 - 7*u - 7. Let h(p) = 5*i(p) + 7*w(p). Factor h(t).\nAnswer: -2*t**2*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3115, -6227, -9337, -12445, -15551, -18655?\nAnswer: -21757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**3 - 3*c. Let g(q) = 7*q**3 - 7*q + 1. Let l(x) = 9*a(x) - 4*g(x). Let w = 3 + -2. Let p be (0 - 3\/w) + 3. Give l(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 43. Suppose -11*p + 131 = s. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 56\/6*(-25)\/((-350)\/21). Solve 7*p = -0*p + t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -15d2?\nAnswer: 15d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**4 + 0 + 0 + (0*v**2 - 4*v**2 + v**2)*(0*v - 3*v**2 + 0*v) + 506*v + 26*v**4 - 506*v.\nAnswer: 31*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1111*g - 850*g + 1971*g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = -17 + 209. Let z(g) = -g**2 + 22*g + 7. Calculate the remainder when z(v) is divided by 27*(1 - -1) - 2.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(7623) - sqrt(7623)) + 4 + (sqrt(63)*-2 + -1 - (sqrt(63) - (sqrt(63) - sqrt(189)\/sqrt(3) - sqrt(63)))*-6))*-4.\nAnswer: -120*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43033.03 and 5.\nAnswer: 215165.15","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"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: Suppose -3*d = -754 + 244. Suppose -50917 = 22*v - 52193. What is the remainder when d is divided by v?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 119730 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*q + 25 = -239*q, -y - 132269975 = 5*q. What is y rounded to the nearest one million?\nAnswer: -132000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.092 - -0.092. Let w = 0 + 4. Which is the nearest to p? (a) 2\/15 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5376 by -1792.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 506594 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 589*d**3 + 584*d**3 - 1182*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313 - 673 - 2286*g + 846*g + 360.\nAnswer: -1440*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 5*y**2 - y - 5. Let n be k(-5). Suppose n*m + 12 = -3*m. Let x be 0\/((-5)\/(10\/m)). Solve -5*a - 23 = -2*d, -3*d - 3*a = -3 - x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 9*x**2 + 6*x - 29. Determine q(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2209512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (167 + 6 + 13)*(10*g + 49 - 49).\nAnswer: 1860*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -5 (b) 0 (c) -0.4 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 208099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 15*q - 18. Calculate n(12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 11*b - 10. Let i be h(10). Let f(l) = -l**2 - l + 16. Let u be f(i). Calculate the greatest common factor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-191200)\/4900 - (-2)\/98?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1079484908?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Suppose 4*d - 3*d - 2 = 0, -h + 39 = -g*d. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(44) - sqrt(132)\/(sqrt(72)\/sqrt(6))) + 2.\nAnswer: 2 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26553*c**6 - 38*c**5 - 1387721*c**2 - c?\nAnswer: 3186360*c**3 - 2280*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 492 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17072 = 4*z + 3*v, -17072 = -6*z + 2*z + 2*v. Suppose 0 = 436*u - 432*u - z. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -816, -1\/6, 5?\nAnswer: -816","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 61, 335, 969, 2107, 3893, 6471?\nAnswer: 9985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 637383 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d\/(((d*d**3)\/d)\/d))*d)**(-19\/6))**42 assuming d is positive.\nAnswer: d**(-399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 10)*(-2 - 3 + 4)*(k**3 + 0*k**3 - 2*k**3).\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 14*n - 5. Let m = 309 - 304. Let l(t) = -19*t + 7. Let w(y) = m*l(y) + 7*k(y). Let v(z) = -4*z + 7. Calculate v(w(i)).\nAnswer: -12*i + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 11:52 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*l + 14 + 82. Sort l, 3, 5, -2 in ascending order.\nAnswer: -2, 3, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u + u = 105. Let o(h) = -3*h**2 + 13*h + 3. Let p(q) = -4*q**2 + 19*q + 4. Give u*p(g) - 7*o(g).\nAnswer: g**2 + 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 3072 + 3072.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2818*c**2 + 1154*c**2 - 6436*c**2 - 7032*c**2)*(0 + c + 0).\nAnswer: -9496*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose -m = -1 + r. Let h be (m - 1)*(-5)\/(-2). Sort h, 5, 2.\nAnswer: h, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-6))\/5*-1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3\/5 + 216*j**2\/5 - 2688*j\/5 - 6272\/5.\nAnswer: -4*(j - 28)**2*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 24*d**2 + 81*d + 19. Give x(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1212127625 to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -22 (c) 7 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 737, -9, 1, -3, 6, 3 in decreasing order.\nAnswer: 737, 6, 3, 1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1464763 + 3008783. Let x = i + -2234020. Round x to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 136\/3*f - 142\/9*f**2 + 4\/3*f**3 + 8.\nAnswer: 2*(f - 6)**2*(6*f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7900.0000008747 - -7900. Round n to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, 1.1, 84, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*v + 181*v + 50 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8262518?\nAnswer: 2, 11, 375569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 8:20 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 198*b - 5011. Let i be m(26). Solve 147*p - 60 = i*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 5*k + 10. What are the prime factors of w(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13331 - 4?\nAnswer: -13340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**3*u + 67*l**3 + 7*l**2*u + 120*l**2 + 462*l*u + l - u wrt u?\nAnswer: 2*l**3 + 7*l**2 + 462*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a century in decades?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (4 + -11) - -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 - -41. Let w(a) = -a**2 - 5*a - 8. Give w(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 4*r + 4, -4*d + 7*d - r + 5 = 3*r - 9*r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 + 26*c - 11. Suppose -471*y + 67 - 19 = -477*y. Give a(y).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 2*z + 2*h - 12, 4*z - 18 = h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 5.425. What is g rounded to 2 dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 4:10 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**2 + 27390*p - 26335480 = 0?\nAnswer: 1244, 4234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/6 (b) -1 (c) 2 (d) -4\/5 (e) 951\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.74 - -11. Let n = q - -3.53. What is n rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*o - 2. Suppose -l = -3 + 5. Find the common denominator of -46*l*o\/22 and 7\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-7 - -3) + -3. Let m(i) = u*i**2 + 5*i**2 - 8*i**2. Let t(q) = -3*q. Let g(r) = r. Let z(h) = 2*g(h) - t(h). Determine z(m(y)).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -109?\nAnswer: -10.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*4\/(-48)*-52 + -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 1863\/193?\nAnswer: 1863\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70.71*-2.\nAnswer: 141.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9093582 to the power of 1\/2, to the nearest integer?\nAnswer: 3016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18060456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(15\/(-18)))\/(42\/(-140)). Suppose -4*a + m = -3*a. Let k = 6\/7 + -5\/7. What is the nearest to k in a, -0.9, 2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*t - 33. Let q = 18 - t. Suppose -1 = -3*j - 2*i + q, -5*j + 10 = 4*i. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/2*4\/(-2). Suppose -5*x + 16 + 29 = -5*w, -2*x - 17 = b*w. Let h(p) = p + 8. Is 12 a factor of h(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01079 - -0.08921. Which is the second biggest value? (a) -1.2 (b) 2 (c) 0 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77752 = 265*g - 273*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*b + 3*q, 3*q + 5 = -4. Let v be 2\/2 + -4 + b. What is the third derivative of 12*d**4 + 2*d**6 + 3*d**v - 12*d**4 wrt d?\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39052132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(-1)\/(-3)*(1 - -7). Let v be (3\/2)\/(-3 - (-60)\/s). Let y be (20\/6)\/(2\/6). Solve -v*o = -4*u - 0*o - y, 2*o = 2*u + 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5302054 days in microseconds?\nAnswer: 45809746560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*k - 36 = 0, -n + k + 4 + 4 = 0. Calculate the smallest common multiple of 8 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181897 a multiple of 1183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 47079451 divided by 1?\nAnswer: 47079451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 240, 0.3, 0.1 in ascending order.\nAnswer: 0.1, 0.3, 3\/2, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15358\/8 - (540\/48)\/15?\nAnswer: 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357*j = -345*j + 36. Let m(y) = -8*y - 4. Let v(g) = -7*g - 3. Give j*m(d) + 4*v(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010 - -100?\nAnswer: 10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*1\/(-2)*(-50)\/150. Is d at least as big as 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 4.1. Let l = 2 + u. Let o(c) = c**2 - 4*c + 3. Let a be o(3). What is the nearest to a in 0, 1\/4, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 47 - 6)*(-4 + 3 - w**2 - 4) to i*w + p + d*w**2 and give p.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 266.50743 months?\nAnswer: 22.2089525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 20*r**2 + 3*r - 54. Let f be a(20). Let v = -32 - -50. Calculate the lowest common multiple of v and (13 - 1)\/(f\/4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/2275? (a) 5\/9 (b) 2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-42))\/(16\/(-4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (22\/33)\/(4\/7782). Suppose -5*n + x - 242 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184371066?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -697 + 705. Suppose -4*u - p = -19, -5*p - 2 = -4*u - 1. Are u and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70225.52 weeks in milliseconds?\nAnswer: 42472394496000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 0.7439, -1, 0.3, 49?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3*w + 2)*(-w**3 + 202 - 694*w**2 - 690*w**2 + 1382*w**2) to r + u*w**4 + c*w**3 + q*w + l*w**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1484*z = -1463*z - 103803. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 104, 74, 10, -100, -268?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 + -cc0?\nAnswer: -ca6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6*4\/(-210))\/((-1692)\/(-5922))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*o = -5, -4*r + o = r - 13. Let s(b) = 5*b + 11. Let h(k) = 7 + 94*k - 3 - 92*k. Calculate r*s(p) - 8*h(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57578 is divided by 19106.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -169, 1, -72351, -5 in decreasing order.\nAnswer: 1, -5, -169, -72351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/6327)\/(66 - (-94200)\/(-1425))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i - 746*i**3 + 6150 + 2807 - 293*i**3 - 1194*i**3 - 368*i**3 wrt i.\nAnswer: -15606*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**3 + 5*a**2 + 4*a + 8. Let d(h) = -5*h**3 + 5*h**2 + 5*h + 8. Let p be 9\/12 - (108\/16 - -1). Let q(y) = p*v(y) + 6*d(y). Is q(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klwwwywkwkwkwkydkkww. Give prob of picking 1 y and 1 d.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 43.126.\nAnswer: 8.6252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((1*2)\/(12412\/428)*2\/(-4))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r. Suppose 3*l + 1 = -4*x - 3, 4 = -l. Suppose 0 = -x*f + 4 - 0. Let v(a) = 7*a**2 + a**2 - 7*a**f. What is c(v(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7478, 7623, 7854, 8165, 8550, 9003, 9518?\nAnswer: 10089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 15*d**3 - 18*d**2 + 31*d + 9. Determine s(2).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49453, 49404, 49321, 49204?\n\"Answer: -17*v**2 + 2*v + 49468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -781*f**2 + 2060*f**2 + 5388*f**2 - 3*f + 0*f + 4257*f**3 + 2*f wrt f?\nAnswer: 25542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q + 34. Let d be y(6). What is the third derivative of -4*c**4 - 5*c**d + 10*c**3 + 12*c**2 - 5*c**4 - 2 + 12*c**4 wrt c?\nAnswer: -48*c + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 606414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4167 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 315514661 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twwvvtwttt. Give prob of sequence ttv.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 14 = 3*h - 7*h, 5*h - 3*c = 19 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9486436*d - 9486581*d = -18995 for d.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z - 60. Let s = z - 21. Let r(i) = 2*i**3 - 18*i**2 - 20*i + 2. Let q be r(10). Solve -q*m + s = -1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 428610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2*3\/(-1). Let u be (4 + 6 + -6)*(-1)\/(-30). Sort d, u, -2 in decreasing order.\nAnswer: u, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-56))\/(7*66\/539).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, -75, 4, -1, 0 in decreasing order.\nAnswer: 4, 0, -1, -75, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d**2 + 19*d + 5. Let l(v) = 4*v**2 - 9*v - 3. Let y(h) = 7*l(h) + 3*q(h). What is y(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + 44 + 3*r**2 + 49*r**3 - 3*r - 10*r**3 to t*r + q*r**2 + a*r**3 + w and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134 = 11*t - h, 5*h + 174 - 136 = -4*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**2 + 4603*s + 3437. Calculate o(-1150).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {w: 1, g: 12}?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 335\/(-3216)*-8*(-4)\/10.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**4\/5 - 2394*g**3 - 55425*g**2 + 183024*g - 626028\/5 = 0.\nAnswer: -26, 1, 2, 4013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339438 less than or equal to 1339575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/596 and -7\/24.\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/45)\/(4\/6)*(-2560)\/(-512)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1.1. Let g = -1.4 - -1.2. Let n = 9.36 - 9.56. Which is the closest to n? (a) w (b) -2\/17 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 8:04 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119 greater than or equal to 2122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 r when four letters picked without replacement from {y: 1, r: 2, g: 1, m: 1, z: 1, o: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 536565474 take away 769?\nAnswer: 536564705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + 157. Suppose p = -p - 3*m + 77, 4*p = 4*m + d. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3*h - 4 = -2*h, -3*b - 15 = -3*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(6\/15))\/(5\/(-139520)). What is c rounded to the nearest one thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4 = d, -4*d = 3*n + 2*n + 4. Solve 36 = -5*k - d*l, 2*k - 3*l + 8 = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*36\/36\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - 8*w - 2. Let h be x(4). Is 3 a factor of -1 + 4 - (h - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 7*w**2 - 7*w + 2. Let k be j(6). Let p be (-4 - -2)\/(k\/6). Suppose 7*o = p*o + 12. Solve -2*t + o = -1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/54*-33 + 4. Suppose -2*l + 3 = 1. Which is the third smallest value? (a) q (b) -0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -10*p**3 + 9*p**2 + 78*p + 24. Let k(a) = 21*a**3 - 20*a**2 - 158*a - 53. Determine -11*d(h) - 5*k(h).\nAnswer: 5*h**3 + h**2 - 68*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25327 - -25484. Calculate the greatest common divisor of j and 5809.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.07 + -15. Let o = v - 0.47. What is o rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3423*n**4 - 35917*n**2 - 222845756.\nAnswer: 13692*n**3 - 71834*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**5\/4 + 3939*p**4\/4 + 1253505*p**3\/4 - 26937891*p**2\/4 - 139006854*p - 537922539 = 0. What is p?\nAnswer: -666, -7, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -65.4, -5616.\nAnswer: -5616, -65.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bb5 - 2851a?\nAnswer: -27635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -68\/3 (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00247276 rounded to 5 dps?\nAnswer: 0.00247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7286 is divided by 333?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 29963097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6*l = 30. Suppose 4*n = 5*v - l, 0*v - 3*n + 2 = v. Which is bigger: 5\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5 = 3. Let m(q) = 2*q**3 + 15*q**2 - 7*q + 7. Let r(c) = c**3 + 7*c**2 - 4*c + 4. Let s(z) = f*m(z) + 5*r(z). What is s(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -9.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3395*d + 162960. Determine b(48).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -126*k + 14. Let w(j) = 189*j - 20. Determine 7*h(b) + 5*w(b).\nAnswer: 63*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -10207 - 2462. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 244920\/107 - 2289. Let c be 4\/(-22) + (-477498)\/(-28248). Let w = a - c. Find the common denominator of 3\/8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-3)\/((-24)\/(-16))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16545 is divided by 118.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2307, -2606, -2907, -3210?\nAnswer: -3515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/12)\/(68\/272)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 7*l + 2. Let y be g(7). Suppose -3 = m + o, -11 = 5*m + 5*o - y*o. Let s be m*(-9)\/3 + -1. Solve -4 = -2*q + s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 353096 divided by 7676.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.39878 to three dps.\nAnswer: -0.399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 6 = 0, -4*j - 77*z = -82*z + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24577261 (base 8) to base 9\nAnswer: 11210103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 9*k**2 + 2*k - 3. Let a be f(9). Suppose -19 - 11 = -3*p. What is the remainder when p is divided by (-4)\/(-90)*-3 + 47\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i\/(i\/(i*i**6*i)*i*i))*i*i*i**5*(i**(-1\/3))**30*i**2\/((i\/(i**(-3\/2)*i)*i*i*i)\/i)*i**(-4\/7)\/(i*i\/(i*i*i**(5\/2)*i*i)*i*i) assuming i is positive.\nAnswer: i**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/28 + 10\/(-25) + (-618)\/105. Let j(p) = -p**2 - 9*p - 29. Calculate j(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2596*c**5 + 1011*c**2?\nAnswer: -155760*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*s**5 + 8701353*s**4 - 701044082454*s**3 - 1168424206854*s**2 - 545266821327*s - 77895398307 = 0. What is s?\nAnswer: -1, -1\/3, 161137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(2\/9)*y**(-2)\/y*y)\/(y*(y**6*y)\/y*((y\/y**(4\/5)*y*y)\/y)\/y))\/(y**(-3\/4)\/y**(-5\/3)*y**0*y*y**(-2\/17)\/y*y) assuming y is positive.\nAnswer: y**(-26857\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 58 = -h, -4*y - 59 = -h - 3*y. Suppose 2*d = -2*d + h. Solve 5*q + 40 = d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 395691, 791011, 1185959, 1580535?\nAnswer: 1974739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, o: 2, i: 1, q: 4, f: 1}. Give prob of picking 2 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1369 + 1.2369. What is the closest to -1 in 0.04, h, 3\/20?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 - 76. Let q be ((-6)\/9)\/(4\/(-6))*l. What is the third derivative of -131*d**3 + 131*d**q + 24*d**5 - d**2 wrt d?\nAnswer: 1440*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, h: 6, v: 2, l: 3, t: 1}. What is prob of sequence tleh?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (10 - -4) - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 25*q**2 - 45. Calculate c(25).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/6*28\/7.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 932.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 357 (base 11) in base 10?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857686886 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -325 + 4?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*q - 2*q + 11, -3*q + 18 = -t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/20)\/(126\/(-819) + 122\/(-52)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -135.3 + 135. Which is the nearest to -1? (a) k (b) -4 (c) -1\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1570.3 - 147.7. Let d = t + 1721.222. Let b = d - -0.078. Round b to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 6. Let n be b(-6). Suppose -m + n*m = -2. Suppose 4*k = 2 + m. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1397 is divided by 159.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, r: 1, f: 1, d: 1, s: 2, x: 2}. Give prob of picking 1 r, 2 x, and 1 f.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/257 + -1532\/1285. Let y(t) = -70*t. Let n be y(-1). Let u = 70 - n. Are u and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/9*(-9)\/(-15) - (-6)\/(-10). Which is the biggest value? (a) i (b) -0.5 (c) 1.7 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131417 is divided by 16418.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10877 is divided by 117.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 23*y - 36. Let b be m(12). Let z(q) = q**2 - 5*q + 7. Let i be z(5). Suppose -i*n + n = -b. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -173*(-68)\/19754 - 32\/56.\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, q: 2, w: 1, g: 1}. Give prob of sequence geq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.56025ml?\nAnswer: 0.00656025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8*y = -879 - 8233, 2*l = 4*y + 6068. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*n + 108 - 2 + 15*n)*(-5*n**2 + 4 - 4 + (-3*n + 5*n - n)*(2*n + 2*n - 5*n)).\nAnswer: 12*n**3 - 636*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2031 - -2240. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -26 - 16. Let n be (-8)\/(-6)*j\/(-14). What are the prime factors of (21\/(-6))\/(n\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40 - (1 + 20 + -16)) + 16\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 7*d**2 - 8*d - 8. Let i(w) = -w**2 - w - 1. What is -6*i(t) + r(t)?\nAnswer: -2*t**3 - t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 z, and 1 t when three letters picked without replacement from {z: 1, t: 1, x: 1, n: 1, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzh when three letters picked without replacement from {e: 7, d: 1, h: 2, k: 1, n: 2, z: 6}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - 1066\/10) + -1. Let g = m + 112. Is -1 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16576 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/45 and 91\/9108?\nAnswer: 45540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3\/(t\/(t**(-4\/5)*t)))**(2\/93)*(t\/(t**(-2\/5)*t))**(-1\/6)\/(t*t**(-1\/3)*t\/(t\/(t**5*t))) assuming t is positive.\nAnswer: t**(-3109\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 177969466915 - -3\nAnswer: 177969466918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -672754726*h**4 + 93620797 wrt h?\nAnswer: -2691018904*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 m when four letters picked without replacement from zmmzmzmm.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -236163 - a**4 + 236167 - 8*a**3 - 20*a**2 - 5*a**3 as d*a**2 + y*a**3 + u*a + z + x*a**4 and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = l + 2, b - 3*l = 9. Let q = -24 + 34. Let n be ((-16)\/q)\/((-2)\/5). Solve n*o + 4*v + 8 = b, -2*o - 2*o = -3*v + 22 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 183711*w + 11390076. Determine c(-62).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 20*t. Let y(g) = 36*g + 12*g - 11*g + 1 + 22*g. What is y(q(z))?\nAnswer: 1180*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/36706732 and 23\/2799666.\nAnswer: 330360588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 10*t - 28. Calculate o(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36002303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 18 = -0*f + x, -4*x + 8 = 0. Suppose 3*y = w + 6, -f*w + 18 = 5*y - 3*y. Solve t = -w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 776 + -589. What is the lowest common multiple of z and 1?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486581\/13 smaller than 37428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k**(-3\/5))\/(k\/(k*k**1)) assuming k is positive.\nAnswer: k**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 246812125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 926129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 123*z - 87. Let i(s) = -63*s + 43. Let l(p) = -10*i(p) - 6*t(p). Differentiate l(q) wrt q.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -124 at most as big as 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -17*c - 4. Let n be w(-2). Suppose -3*f = k - 10, 3*k - 2*f = 2*f + n. What is the remainder when 39 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/9)*m)\/(m*m**(-1\/3)*m*m))\/((((m\/(m**(1\/5)\/m))\/m*m)\/m)\/m**(1\/4))*(m**(-4)*m**1)\/(m**(-2\/19)\/m**(-2\/5)) assuming m is positive.\nAnswer: m**(-18089\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*z - 44 = 0, -3*z = -4*q + 3*q + 1. Suppose 68 - q = 3*k - p, -3*k = p - 44. Solve -7*t = -3*t - k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103 + -102.5. Let n be (-2)\/5 - (-56)\/90. Put 1, 2, n, s in increasing order.\nAnswer: n, s, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 45 + 6*m + 7*m + 4*m - 10*m**2 + 9*m**2. Let i be q(19). Suppose 3*n + i*n = 290. What is the highest common divisor of 87 and n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*o + 3 = -2, -3*d - 27 = -3*o. Sort d, -4, 4, 5 in decreasing order.\nAnswer: 5, 4, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjlj when four letters picked without replacement from jjjlljljlmmjjjjjmj.\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-71 - -1) + -226 + (142 - -41)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4592 + -4593. What is the third smallest value in h, -0.06, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*q = 26*q + 27*q + 297. Is q less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbrpbrrbbbrbbrrbbb. What is prob of sequence rbpr?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.396478 rounded to 2 decimal places?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -65*-4\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, 28, -24, -216, -590, -1188, -2052, -3224?\nAnswer: -4746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7967472 and 508?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7398*n**2 + 4*n**3 - 7398*n**2.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -15840*b + 3037. Is d(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/108 + -14 + 15\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from {b: 1, h: 2, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to 260\/207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*i**4 + 3*b**3*i - 6*b**2*i - 563*b*i**5 wrt i.\nAnswer: 12*b**3*i**2 - 11260*b*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**2\/4 + 3063*h\/4 - 11495\/2 = 0. What is h?\nAnswer: 38\/5, 605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2115102 and 59\/549?\nAnswer: 387063666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2120*j**4 - 9667*j**2 + 3*j**3 + 0 + 9669*j**2 + 0 to the form z*j**3 + s*j**4 + f*j**2 + n*j + u and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4675 + 6127. Calculate the remainder when b is divided by 247.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 33 + 19*u + 37 - 70. Let y(d) be the second derivative of d**3\/6 - d**2\/2 + 3*d. Let c(w) = -4*w + 3. Let b(z) = c(z) + 3*y(z). What is b(k(v))?\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1469 + 1472. Let u(y) be the first derivative of -2\/3*y**w + 0*y**2 - 9 + 0*y**4 + 8\/5*y**5 + 0*y. Find the third derivative of u(p) wrt p.\nAnswer: 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 7*y - 2768*y**2 - y - 4*y.\nAnswer: -2768*y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) -1 (b) 71829 (c) 3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 753101041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-2)*((-63)\/(-35) + -1). Solve -5*m - 5*l = 41 + 4, -g*m = -5*l - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2632.47 years in months?\nAnswer: 31589.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -14. What is the closest to g in 3, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 1.787929437255?\nAnswer: 1.687929437255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108724.\nAnswer: 2, 7, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*m = 11, -30 = 5*m - 10. Solve 0*r - 3*r + 5*p + a = 0, r = -5*p - 19 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*c = 457, 2*c - 175 = m - 2*c. Let r = 224 + m. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 2433 (c) 17\/6 (d) 1\/7 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -12829413?\nAnswer: 28\/12829413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.3 (b) 1 (c) -3294844 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2085 = 3*n, -455*f + 3*n = -458*f + 1227. Calculate the highest common divisor of f and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 789*j + 22. Let i = 8 - 5. Is s(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1729 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -6\/7 (b) 2100 (c) -1 (d) 0.5 (e) 5 (f) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2704 and 14164904.\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 24, 28, 32, 36, 40?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-5 - -7 - 4) + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -10, -57, -132, -235, -366, -525?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 - 98*x - 73. Give u(-47).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -199*u**6\/120 + 98*u**3\/3 - 242*u**2. What is the derivative of g(t) wrt t?\nAnswer: -597*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-36397)\/17)\/(0 + -1). Let w = a + -985. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1260864 and 10362?\nAnswer: 197955648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 9*m - 4. What is f(8)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of (2926\/42 + -5)\/((-6)\/(-1638))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-1))**(-3\/5))**(4\/17))**(1\/3) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30 + 891479a?\nAnswer: 891481a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*j - 3*m, 3*j - 5*m - 18 = -3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-9) + (-6682)\/9438. Is 0 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*q**2 - 56 + 6202 - 16*q**2 + 3*q**2 to j*q**2 + x*q + y and give y.\nAnswer: 6146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -1\/2, 45, -0.4, -9, -0.3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.6039411 to 2 decimal places.\nAnswer: -26.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 4*s - 48, -2*l - 24*s - 303 = -s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 13) in base 4?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-6)*2)\/(8\/8). Solve -5*d + 0 = r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 23 + 33 + -26?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 72, 4, -1, 0 in decreasing order.\nAnswer: 72, 4, 0, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5 = -5*t, -3*d - 5*t = -11. Find the third derivative of 0*z**d + 0*z**2 + z**6 - 3*z**2 wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(400) - (sqrt(400)*-1 + sqrt(400))) + sqrt(400) + sqrt(400) + (sqrt(400) + (sqrt(400) - (1*sqrt(400) + sqrt(400))))*-3)\/(-2*-1*sqrt(392)*1).\nAnswer: 5*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -1, -74656401.\nAnswer: -74656401, -1, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 7 + 29 = -5*w, -18 = 4*w - 2*j. Let t be 3 + 0\/w + 4. Is 629 - t\/((-35)\/20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 5*o + 37, -5*o + 29 = -44*v + 45*v. Calculate the remainder when 316 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (265*c + 6168 - 6173 + 37*c + 5 - c - 5 + 0*c + 3*c - 4*c + (3*c - 2*c - 3*c)*(4 - 5 + 2))*(3 - 2 + 0).\nAnswer: 298*c - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10638032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 12*l**3. Let n(a) = a**3 - 2*a**2 - 3*a - 5. Let x be n(4). Let s be (5\/x)\/((-1)\/(-3)). What is the units digit of d(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 115 in -6, -0.1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-25 - -26)) + (17 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12885 and 4875?\nAnswer: 4187625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44085, -176329, -396733, -705291, -1101997, -1586845, -2159829?\nAnswer: -2820943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -16. Suppose 3 = 4*x + 7, 2 = -f - 2*x. Suppose 4*q - a - 35 - 42 = 0, f = -q + 5*a + y. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(136) + -1*sqrt(136))*3 - (sqrt(136) + ((2*sqrt(136) + sqrt(136))*-6 - sqrt(136) - sqrt(136)) + sqrt(136)))\/(3*sqrt(88)\/sqrt(99)).\nAnswer: 4 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/11 + (-1312)\/(-44). Suppose 3*i = -4*w + 360, 4*w - i + 180 = 6*w. List the prime factors of 104 + ((-12)\/w - 26\/s).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**(-9)*(s**0)**(-2\/145) assuming s is positive.\nAnswer: s**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -4*l - l + 4*z, 4*z = -l - 9. Suppose -10*o - 493 - 1957 = 0. What is the tens digit of (-2)\/8*(o - l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + 1)*3 + (sqrt(162) - (-5 + -4*sqrt(162))))**2 - ((-4*(1*sqrt(162))**2 - sqrt(162)) + (sqrt(162) + (2*sqrt(162))**2)*-6)*5.\nAnswer: 1467*sqrt(2) + 33112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, 2, 234 in descending order.\nAnswer: 234, 8, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 1:47 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/3 (b) 1 (c) -0.1 (d) -0.159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 355 + 115 = 0. Suppose 4*j = -4*i - i + 377, 187 = 2*j + i. Calculate the remainder when j is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 259632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2420 > -2408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*x - 2*s, -x - 5*s + 9 = -4*s. Suppose -5*v + v = x*p - 68, 4*v = 20. Suppose 786 = -6*i + p*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003527125744 to six dps.\nAnswer: -0.000353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5722899 rounded to one dp?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqlh when four letters picked without replacement from {h: 1, p: 1, q: 1, n: 1, d: 2, l: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 + l**2 - l**2)*(-2*l - 2*l + 2*l + (3 + 2 - 7)*(l - 3*l + 0*l) - 3*l - l + 3*l + l - 2*l - 3*l)*(-2 + 3 + 1).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0 - 2*p - p**4 + 0 + 1 - 9*p**2 in the form k*p**4 + n*p**3 + o + w*p**2 + a*p and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 17. What is the highest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -238.6, -62 in increasing order.\nAnswer: -238.6, -62, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*u - 300 = 286*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20013202 and 570.\nAnswer: -20012632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -10, 0.239, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/15 (b) 14\/29 (c) 0.1 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 129.2 * 0.3\nAnswer: 38.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 19\/3 (c) 5 (d) -0.04 (e) -2\/9 (f) 4 (g) -1\/34\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -859?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -77528 divided by -881\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100438 + 14486 = -34*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x**2 + 5*x**2 + 1 + 7*x**2 + 0*x**2 - 5*x as h + l*x**2 + n*x and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -119978.4 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c + 3*c**2 + 6221*c**3 + 1204*c**3 - 3*c**2 + 22*c.\nAnswer: 7425*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 12*y + 10. Determine p(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**8\/1008 - 19*d**5\/60 - 4*d**2 + 9. Let s(v) be the third derivative of i(v). Let l(q) = -2*q**2. Calculate s(l(m)).\nAnswer: 80*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 8*n**2 - 2*n. Let c be m(15). Is 19 a factor of 3\/(-21) - c\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558*n**3 + 8517*n**3 - 1099*n**3.\nAnswer: 7976*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34057712 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 2225 + 2223 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - 1*sqrt(1700) - sqrt(17) - ((sqrt(68))**2 + -2 + sqrt(17)))*4 + -3.\nAnswer: -267 - 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15382*s**4 - 2*s**3 - s**2 - 6*s + 4797538 wrt s?\nAnswer: 61528*s**3 - 6*s**2 - 2*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 467, 1896, 4265, 7574, 11823, 17012?\nAnswer: 23141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 620641.5 centuries?\nAnswer: 62064.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 7 + n + 4*n. Suppose 29 = 2*c + 17. What is the common denominator of 22\/9 and f(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -360*b + 349*b + 22605. Is b a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1 (b) 0.53 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -26505, -39729, -52953?\n\"Answer: -13224*m - 13281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**2 - 16*t - 16 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -q**4 + 6*q**3 - 6*q**3 + 135 - 219*q - 38*q + 224 wrt q.\nAnswer: -4*q**3 - 257","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/4 + 5*l**3 - 75*l**2\/4.\nAnswer: -l**2*(l - 15)*(l - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1*2\/68*56\/(-42)\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5 = 1. Let i(t) = 3*t + w*t - 3*t + 2 + t**3. Let d(g) = 3*g**3 + 5*g + 5. Calculate 2*d(p) - 5*i(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023012 to 6 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r - 4. Suppose q + 2 = 0, -2*t = 3*q + 2 + 2. Let c(h) = -h. Let b(w) = t*s(w) - 6*c(w). Suppose 0 = 8*j + 33 + 7. Calculate b(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 58, 5, 2684?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 377419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/(175\/75)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 587977 - 1048145. Let w = b + 2180168. Round w to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from fuouuuffuffuou.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 15*o - 9. Let m be t(1). What is the greatest common factor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 65*a**2 + a - 2. Let h be c(2). Suppose -h = 3*w + 10. Let m = w - -281. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (80\/(-15))\/(-2)*(-54)\/(-8). What are the prime factors of 116*((-4)\/t + 213\/108)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 3:39 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 15*w + 18. Suppose -5*x - u = -23, 0*u = 3*u - 9. Suppose 2*r - x = -32. What is h(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 70*q - 71*q + 6, 0 = -5*l + q + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -584 + 326. Let m(p) = 55*p - 26. Let f be m(9). Let s = f + l. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - 7)*(2 + 0). Let y(t) = 3*t**r + 4*t + 2*t - 6*t**2 - t**3. Is 24 a factor of y(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2136125954 to the nearest integer?\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 1\/651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/(sqrt(27) + sqrt(3)))\/(-1*sqrt(144)) + -3 + sqrt(147) + sqrt(3) + (sqrt(192) + 0 + sqrt(3))**2 + -5 + 5.\nAnswer: 127*sqrt(3)\/16 + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 541600 to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16466.5 - 16466. Sort -14, c, 0, -0.2.\nAnswer: -14, -0.2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7145\/216 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 607348, 1214723, 1822098, 2429473?\nAnswer: 3036848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kki when three letters picked without replacement from {b: 4, i: 4, k: 7}.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f + 7*f + 4*f - 25*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6145, 11964, 17781, 23596, 29409, 35220, 41029?\n\"Answer: -c**2 + 5822*c + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -718*a + 366*a + 353*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271.\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -40.94515 and -455.\nAnswer: -495.94515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**3 + 5 - 3 - 12*m**3 + 5*m**3 - 2*m - 31*m**4 to the form u*m**4 + s*m**2 + r + w*m**3 + a*m and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/171 and -74\/15?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49396865 to the nearest integer?\nAnswer: 7028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1255 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*r + 726, 7*r - 5*r - 142 = x. What are the prime factors of 1\/1*x\/(-2)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3450, 5, -1, 8 in ascending order.\nAnswer: -3450, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**4\/4 - 5*i**3\/3 - 5*i**2\/2 + 4*i + 1. Suppose k - 2 + 7 = 0. What is the remainder when b(k) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 38454, 69203, 99952?\n\"Answer: 30749*o + 7705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331791*x**2 + 331791*x**2 - 5*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 977814809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 7:10 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/60*36799678926\/(-12). Let i = y - -102242182. Let j = 20846 - i. Calculate the common denominator of -7\/22 and j.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 70\/15 - (-4)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + 0*q + 2*q**4 + (2*q**3 + 6 - 6)*(-5*q + q + 0*q) - 3*q**2 - 2*q**2 + 3*q**4 - 2*q**4.\nAnswer: -5*q**4 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*t = -14. Let u = 8 + t. Let p(m) = -m**2 - 5*m - 2. Let j be p(-3). Solve 9 = j*a + u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -11121054?\nAnswer: -11121050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3*d. Suppose -y - 91 = -3*p - 0*y, -2*p - y + 54 = d. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2 - 22*f + 7. Let a(s) = s**2 + s. Let n(b) = -6*a(b) - t(b). Let m be n(5). Sort m, -4, -1, 3 in ascending order.\nAnswer: -4, m, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -392.340595 + 7.324495. Let g = -8.2 - -393.2. Let o = g + h. Round o to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z - 7. Let k be s(9). Let m(p) = p + 21. Let x be m(k). What is the highest common divisor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 120\/(-4)*11\/(-33). Differentiate -2 + 104*i - 19*i + 36 + u wrt i.\nAnswer: 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h + 6. List the prime factors of t(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(19 + -12 + 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times -38?\nAnswer: 2.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(-1*sqrt(75)).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 12*w - 30. Let s be b(-4). Solve -6 = t + s*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = 11*s - 8*s. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - -9) + (-8)\/2. Let z be -4 + 4 - (-3 - x). Find the second derivative of 8*k**2 - 18*k**z + 11*k**2 - 5*k wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 799 + -854133\/1069. Let z = 7473\/5345 - q. What is the nearest to 0 in 0.3, z, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0336 * 8.554\nAnswer: -0.2874144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 1. Let u be y(-5). Let a be 1 - -2 - (-2 + u). What are the prime factors of -2 + (a - -2) + 7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**26\/(a**(2\/39)*a))\/(a**(-1\/6))**(-1\/17) assuming a is positive.\nAnswer: a**(11023\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - 74. Let a = 41 + f. Calculate the least common multiple of 10 and 8\/(-4) + a + -2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 - 3*j + 2. Let z(s) = 10*s**2 + 9*s - 7. Let u(m) = -7*y(m) - 2*z(m). Let x be u(-5). What is the highest common factor of 100 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 945 or -0.04827?\nAnswer: 945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-7))\/((-1980)\/1386)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/5))**(-18))**(-5))**(-32) assuming j is positive.\nAnswer: j**(-1152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-10)*25\/(-10). Suppose r - 3 - 41 = 2*i, 4*r - 201 = d*i. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 1862?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 3356*h + 6716.\nAnswer: -(h - 2)*(h + 3358)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - 47 - (11 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*g = -272*g + 456*g - 4503 for g.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.547 and 0.1.\nAnswer: -0.2547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 (base 12) in base 3?\nAnswer: -20221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880090734?\nAnswer: 2, 3, 4441, 33029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 12:43 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 32, 70, 124?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 + -51. Which is the nearest to -2\/7? (a) n (b) 3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 9 = n. Let q = 11 - n. Suppose 0 = 5*b - q, 4*b + 41 = 5*f + 3*b. Calculate the remainder when 25 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1796.004344 - -1796. What is g rounded to 4 dps?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Let c be (b - -4)*3\/7. Suppose c*k - 16 - 41 = 0. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1964.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58.6 + 58.542. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, n: 7}. What is prob of picking 1 n and 2 l?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2)*(6 + 0 + -4). Is (-11124)\/(-7) - i\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 167*u**5 + 65*u**2 wrt u?\nAnswer: 10020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-3)*-10*(-1)\/10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/16 and 17\/508982?\nAnswer: 4071856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22310992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 8*b - 5. Suppose 5*d = -4*j + 16, 4*d - 14 = -5*j + 6. Suppose 0*p + 3*p + 21 = d. Is k(p) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8721078949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2718, 5473, 8228, 10983?\nAnswer: 13738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2106599 is divided by 3251?\nAnswer: 3202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 0 + 2\/3*a**3 - 1\/2*a**2 - 3*a + 1\/24*a**4. Let h(k) be the first derivative of t(k). Determine h(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4170462 rounded to 3 dps?\nAnswer: 6.417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 141276024 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/41 at most 192874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-1230)\/8)\/5*60\/(-45)*2\/2\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7840*a - 6878 = 2345*a - 34353 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (64600\/(-133))\/((-3)\/63). What is i rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11042, -2, -3, 1 in decreasing order.\nAnswer: 11042, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, f: 2, w: 1, k: 2, h: 1}. Give prob of picking 1 f, 1 w, 1 h, and 1 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 190.55*0.1\nAnswer: 19.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + -10)\/(0 - (-3)\/(-29)). Let l = -8 - 0. Let v = s + l. What is the remainder when 40 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*r = -150, -7*r + 11*r = 16. Calculate the remainder when 1818 is divided by g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 1.93.\nAnswer: -1.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**5\/5 + 92968*f**4\/5 + 5929344*f**3\/5 - 98170112*f**2\/5 - 1233316864*f + 20055459840 = 0. Calculate f.\nAnswer: -23178, -52, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 divided by 6.\nAnswer: -91\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 29*d**3 + 2*d**2. Let r(j) = 2*j**3 + j**2 + j. Determine -m(b) + 3*r(b).\nAnswer: -23*b**3 + b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 - 5*g + 64)*(4 - 5 + 3 + 4 - 6 + 3 + (-1 + 0 + 3)*(-1 + 2 + 1) - 4 - 1 + 4 + 1 + 2 - 1).\nAnswer: -40*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26 + -35?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, -66, 0, 5, 0.5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343.5 take away -15?\nAnswer: 1358.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -524024 - -191482.8813?\nAnswer: -332541.1187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-29)*d*d*d*d**(-31)*(d*d\/((d*d*d**(-19))\/d*d)*d*d)**(5\/9) assuming d is positive.\nAnswer: d**(-136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 164275 <= 164274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 113364 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2865720 divided by 1432860?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 24, 98, 220, 390, 608?\n\"Answer: 24*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 11:41 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10891 by -491.\nAnswer: -10891\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 - -94. Let t be (-9)\/4 + 2\/2. What is the third smallest value in g, t, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*v + 58*v + 85*v + 57*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -38. Suppose -2*k = 3*k - 190. Suppose 3*z - k = z. Solve 2*s - z = -2*s + d, -3*s + 18 = -g*d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**5*q)\/q*q**(-6))**(-44) assuming q is positive.\nAnswer: q**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51268899 is divided by 17089623?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 836\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 5:45 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 10, -3*z - 227 + 5 = -4*i. Suppose 0 = 2*q - 4*s + 5*s - 21, i = 4*q - s. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35075 - 152*q**2 + 70155 - 28*q**2 - 35080.\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 62159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(700) + -6*sqrt(700)*1)*-3 + -1 + -5)*6*-1)**2.\nAnswer: -64800*sqrt(7) + 5671296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*k = 97*k + 79*k + 4950 for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8079977.38 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -14*t + 303. Give j(13).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23789 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.137 + 0.229. Let d = 3.747 - 3.53. Let p = d - s. What is p rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.5 + -2.5. Which is the closest to 0? (a) 3 (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**8*w*w*w\/(w*w**4)*w*w*(w\/w**1)**(1\/4) assuming w is positive.\nAnswer: w**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**18*m**(2\/9))**46)**(9\/7) assuming m is positive.\nAnswer: m**(-6532\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**8\/840 + i**5\/15 - 7*i**3\/3 + 8. Let z(c) be the third derivative of a(c). Find the second derivative of z(r) wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 1, l: 2, u: 4, a: 1}. Give prob of sequence ua.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 8. Suppose 3*a + 4*r + 0*r = 74, -s*a + 162 = -3*r. What are the prime factors of 3\/((a\/(-4))\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n + 0 + 17*n - 1 to the form g + d*n and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*w - 0. Let o = 193 + -178. Calculate the highest common divisor of w and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljjjjjjljjljjjj. What is prob of picking 3 l?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*d**4*n + 233*d**4 + 2*d**3 + 28*d**2*n + d**2 + 3*d*n + 3*n + 423 wrt d?\nAnswer: -960*d*n + 5592*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 221.3 - 221. What is the nearest to 150 in q, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*h**3 - 344*h**3 - 3*h**2 + h**2 + 3*h**2.\nAnswer: -276*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10152021.\nAnswer: 3, 11, 27967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 19000*i**2 - 9309375*i + 1075781250.\nAnswer: 5*(i - 225)**2*(i + 4250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63786081?\nAnswer: 3, 83, 256169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 4. Suppose 2*y + 2*i = 5*y - 4, y + 5*i + 10 = 0. Suppose y = -4*h - 0*h + 16. Suppose -3*r = -5*r - h. What is a(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, e: 1, z: 4, y: 3, r: 1}. What is prob of sequence ryz?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 - -39) + -1 + 12 - -33 - 4.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 206724177 divided by 4257?\nAnswer: 48561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2 + 18*f + 67. Let z(g) = -26*g. Give k(z(n)).\nAnswer: -2028*n**2 - 468*n + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 36*p - 15. Let i = -280 + 303. What is the hundreds digit of t(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.4 + -2.29. Let w = 0.19 + t. Let f = -483 + 483. What is the third biggest value in f, 2\/15, 0.2, w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*(3 + 5 + sqrt(6)\/sqrt(3) + -4 + sqrt(4)\/sqrt(2) + sqrt(160)\/sqrt(5)))**2*1.\nAnswer: 768*sqrt(2) + 1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypppyp. What is prob of sequence yyp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + a + 55, -8*v + 11*v + a - 70 = 0. Solve 8*s + v = -7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 9*l - 10. Let f be q(-10). Let m be f + 2 - (-1 + 5). Let x(c) = c**2 + 2*c + 2. What is the units digit of x(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -358*q - 1094*q + 123 - 965*q. Is g(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 - 44*n**3 - 2 - 152*n**3 + 267*n**3 as c*n**3 + t*n**2 + v*n**4 + x*n + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2676 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 4 (c) -4 (d) -311407\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -22*b - 18. Let n be s(-7). Suppose 10*t = 14*t - n. Calculate the remainder when t is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -93*s - 1200. Determine g(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p + 4*p - p + 1 + 2*p - 1 + (3 + 2 - 6)*(4*p + p - 7*p) - p - 3*p + 2*p + 4*p + 1 - 1 + 4*p - 5*p + 5 - 3 in the form m*p + h and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -1030321?\nAnswer: 1030313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -367, -361, -377, -427, -523, -677?\n\"Answer: -2*c**3 + c**2 + 17*c - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6790, 13538, 20286, 27034, 33782?\nAnswer: 40530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1077121.155 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, g: 1, y: 2, a: 1, o: 2}. Give prob of picking 2 g and 2 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = 2*x - 488. Suppose -7*r = x + 397. Let l = -61 - r. What are the prime factors of l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 0*s + s**2 + 0*s**3 + 0 + 1\/24*s**4. Let f(u) = u - 4*u + 2*u - u. What is f(o(a))?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.51? (a) -2 (b) -11\/127 (c) -0.03 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17.34358ng?\nAnswer: 0.00000001734358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3942*t**5 - 3431*t**2 - 3*t. Let s(f) = 1972*f**5 + 1716*f**2 + 2*f. Let y(w) = -3*j(w) - 5*s(w). What is the third derivative of y(x) wrt x?\nAnswer: 117960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (4 - -2 - 11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53.4 - 53. Sort -1\/2, 0.03, y.\nAnswer: -1\/2, 0.03, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 5. Let u(m) = -m**2 + 4*m + 5. Let o be u(5). Which is the nearest to o? (a) 0 (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 953*j - 945*j - 2 = 46 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3783283.718 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsatykk. What is prob of picking 1 a and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a = 20*a + 12. What is the tens digit of (-3)\/a + (-571)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76894 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40628*f - 19856*f - 20162*f + (0 - 4 + 2)*(f + f + f))*(-f - 3*f + f).\nAnswer: -1812*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/28032294 and 59\/930?\nAnswer: 4345005570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40190 - 24505. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 18\/(-15))*5\/2. Let n be 0 + (k - 9) + 1 + 7. Solve n*z = -31 + 27 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324843?\nAnswer: 3, 19, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0*z**(-5)*z)\/(z**(-2\/7))**(5\/3))**37 assuming z is positive.\nAnswer: z**(-2738\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*y**5 + 42*y**4 - 48*y**3 + 8*y**2.\nAnswer: -2*y**2*(y - 2)**2*(5*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 5*y. Let i be a(-5). Suppose 3*d + 23 = 3*k + 92, i = d - 2. Let v = -16 - k. Sort 3, -3, v.\nAnswer: -3, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*w - 0. Solve 4*d - 4 = w*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 2*o**2 + 2*o**4 + (-830*o + 830*o - 629*o**3)*(-o + 0*o + 0*o).\nAnswer: 631*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -32373\/4, 3 in decreasing order.\nAnswer: 3, 3\/4, -32373\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/9)*u\/u**1*u**(-9)*u\/u**7*u*u)**(22\/9) assuming u is positive.\nAnswer: u**(-2662\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*x + 309 = 912 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -47*(-198)\/15510*115\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 - 66. Let m(b) = -b**2 + 2*b + 5. Let i be m(z). Solve -13 = -5*k + f, i*f = k - 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 3\/4*u**4 + 0*u**2 + 0 + 3\/2*u**3 = 0 for u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - 36 - 18 + 4*a**2.\nAnswer: -a**2 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2*3\/(-12))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3 = f, -2*f + k + k + 14 = 0. Calculate the greatest common factor of 18 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 444*w**2 + 26*w + 99. Does 44 divide u(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49814393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -2*t + 18, -4*a + t - 2*t + 42 - 15 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**5\/130 + 11*b**4\/78 - 31*b**3\/39 + 21*b**2\/13 + 312*b. Factor y(w).\nAnswer: -2*(w - 7)*(w - 3)*(w - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((-32 - (-2 - 0)) + (1 - -3)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 378*t**3 + 6*t**2 + 3*t + 6. Let x(n) = 1134*n**3 + 16*n**2 + 8*n + 16. Calculate 8*d(f) - 3*x(f).\nAnswer: -378*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 16*j**2 + 49*j. Let a(o) = 14*o**2 + 42*o. Let p(m) = -7*a(m) + 6*i(m). Let y(r) = -2*r - 1308. What is p(y(z))?\nAnswer: -8*z**2 - 10464*z - 3421728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 26791, -4, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171370, 342727, 514080, 685429?\nAnswer: 856774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 16) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 9 + 46489*t - 46495*t + 12 + 4 to the form h*t + q and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - (-1 + 1)) + 123\/(-41). Is f less than -26\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(6\/11))\/(z\/(z*z*z*z*(z\/z**0)\/z*z)) assuming z is positive.\nAnswer: z**(61\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 41. Let u be i(0). Suppose 11 = -5*b + u. Suppose 5*n + 3*j = 9, b*n - n - 5*j - 25 = 0. Solve 0 = -3*c - 0*k - 4*k + 8, 3*k = n*c + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142011 + -23714. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 318923800 to the nearest integer?\nAnswer: 17858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -220 + 220. Solve s = 2 - o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -21*p - 18*p. Solve p = u + 12*g - 11*g - 5, 3 = -u + g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3045518 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4508.446 * 2\nAnswer: -9016.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -25*p**7\/21 + 34*p**6\/3 - 212*p**5\/5 + 232*p**4\/3 - 208*p**3\/3 + 32*p**2 - p. Factor y(u).\nAnswer: -2*(u - 2)**3*(5*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111819929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 412754 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: Let d be (-588)\/(-116) + 8\/(-116). What is the nearest to -3 in -0.3, 3, -6, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1653)\/(-76))\/((870\/29)\/120)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-222)\/(-15) + (-3)\/(-15). Suppose 2*q - f = q. Solve k = 4*k + q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 4*y + 8, 105*q + y - 8 = 103*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14\/5 (b) 0.5 (c) 1 (d) -0.871 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*g + 9*g + 4*g**3 + 9*g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -42\/17?\nAnswer: -42\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4744598 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6) + (-56)\/6. Let l be (1 - -1)*(-15)\/f. Suppose -3*x - l*k + 15 = -12, 5*x = -k + 53. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 12.032712\nAnswer: -24.065424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 212005357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 566434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 7*b. Suppose -6*z + 0*z = b. Suppose 0 = -2*s - 5*r - 18 + 3, z = -2*s + r + 15. Solve -i + s = 2*c - 3, -13 = -5*i - c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkjqgqkgssqgq. What is prob of sequence gsk?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*a**3 + 3 - 3 + 1 + 6*a**3 as g*a**2 + d + b*a + f*a**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3 = -4*u + 5, 0 = 5*w + u - 30. Suppose -9*n + w = -2. List the prime factors of 2 - n\/(3\/(-396)).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23 (b) -0.1047 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, t: 7}. Give prob of sequence tt.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (573 - 960 - 1344)*(-3 + 3 - j).\nAnswer: 1731*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -1.09\nAnswer: -2.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -24. Let l(k) = -k**3 + 10*k**2 - 8*k + 13. Let t be l(9). Let y = t + d. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, g: 8, t: 2, o: 2}. What is prob of sequence ggot?\nAnswer: 7\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/5*3\/(16 + (-415)\/25).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*p + 3. Let v be (-3)\/(-9)*-3*p. Solve -3*l - v*f - 9 = -6*f, -21 = 4*l + 5*f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55752004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44.8 - 39.678. Let k = q + -0.122. Which is the third biggest value? (a) 3 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 9:04 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -313.2 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261 + 257 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37*y**2 + 33*y**2 - 14*y**2 - 118*y**2 - 128*y - 36*y**3.\nAnswer: -4*y*(y + 2)*(9*y + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2340 and 59\/7956.\nAnswer: 39780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -0.87281, 292?\nAnswer: -0.87281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 13*s = 1026. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*2*3 - sqrt(343) - sqrt(343))**2 + -2 + sqrt(343) + -1 - -6*(6*sqrt(343)*-4*4)**2.\nAnswer: 7*sqrt(7) + 18972013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*r**5 - 672*r**4 + 672*r**4 + (-3*r**2 + 2*r**2 + 3*r**2)*(r**3 + 2*r**3 - 5*r**3).\nAnswer: -17*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = n - 3*n. Let w(j) = -j**2 + 10*j + 5. What is the units digit of w(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -23\/13, -1\/5, 0, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3322 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n + 94. Let z be y(-9). Let c(m) be the first derivative of 3 - 16\/21*m**3 + 1\/7*m**2 + 4\/7*m + 5\/14*m**z. Factor c(v).\nAnswer: 2*(v - 1)**2*(5*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -9*k**4\/4 - 24*k + 13. Differentiate c(o) with respect to o.\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 - 1587*y - 31 + 2*y**2 + 1584*y - 71 + 20 to the form l*y**3 + r*y**2 + s*y + j and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 4*m - 3. Let l = -2 - 1. Let a be q(l). Suppose 5*y - 42 = 2*s, a = -3*y - 5*s + 19. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 + 3132?\nAnswer: 3300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**3 - 1\/40*b**6 + 1\/5*b**5 + 0 + 0*b - 5\/8*b**4 - 3*b**2. Factor s(c).\nAnswer: -3*(c - 2)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.1, 8, 260, 0.5, 11\/5?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d**4 - 6*d**3 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6 + (-10)\/(-6). Let v be 4\/(-12) + l\/3. Suppose v = -4*a + 67 + 125. What is the highest common factor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6)*n)\/(n*n\/n**1*n))\/(n**(1\/18)*n\/(n*n*n**8)) assuming n is positive.\nAnswer: n**(35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2\/427683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 620108 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from meimi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 1 - (-11 - (-10 + -7 + (1 - -3)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.65 - 1.65. Which is the second biggest value? (a) 4\/3 (b) 1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j - 90*s = -20*j - 356, -14*s + 17*s = -2*j + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*f + 4*p + 36, -5*p = -3*f + 19. Let o(t) = -7*t + f*t + 2 - 2*t. Is o(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(30)*-4*-6)\/(sqrt(100)\/(sqrt(30)\/sqrt(3)) + (sqrt(120) - (2*sqrt(120) - sqrt(120)))\/sqrt(12)).\nAnswer: 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(2*sqrt(6776) + sqrt(6776) + sqrt(6776)) - sqrt(6776)) + -3*sqrt(6776)*-2)\/((3*sqrt(216))\/(sqrt(12)\/(sqrt(4)*-1))).\nAnswer: -77*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*j - 2, -c = 5*j - 4 - 23. Solve -6 = -c*p, 4*r - 2*p - 26 = -4*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4744.\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -0.04603588633152?\nAnswer: -7.95396411366848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.518, 2, -3\/2, 0, -4\/3 in increasing order.\nAnswer: -2, -3\/2, -4\/3, -0.518, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**5\/60 + c**4\/24 + c**2. Suppose -576 = 113*r - 112*r. Let n be r\/(-256)*4\/3. What is u(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 7. Let q be (-32)\/(-22)*10\/(-20). Which is bigger: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*o + 3*w = 21, 0 = 12*o + 4*w - 84. Let z(m) = -m**3 - 6*m**2 - 6*m - 2. Suppose -2*f - 14 + 4 = 0. Let a be z(f). Solve -a*v - 12 = -o*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -213.1 + 213. Which is the nearest to q? (a) -1 (b) 7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1154 + -641. Let v = g - 373. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -121380623?\nAnswer: -121380623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4 + 0 - 4 + 1 + (-5 - 3 + 3)*(5 + 0 - 3))*(-n + n + n**3).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332107787 times -5?\nAnswer: 6660538935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 79 divided by 759082\nAnswer: 79\/759082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7609*g + 40318. What is l(-6)?\nAnswer: -5336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*n**3*x**3 + n**3*x**2 + n*x**2 - 2*n + 8*x**3 wrt n.\nAnswer: -72*n*x**3 + 6*n*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27655382 is divided by 444?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2330 (base 4) in base 12?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = 4*o - j, 9 - 25 = 4*j. Calculate the greatest common factor of o and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q = -10. What is the remainder when ((-12)\/(-30))\/((-4)\/(-260)) is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-231)\/(-70) - 2)*(-8)\/14. Does a = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -4*i + 35, 5*i + 2*c - 40 = -3*c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*81.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 5:23 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7060108.67 rounded to the nearest 10000?\nAnswer: -7060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 19*k + 3*h = 289, 0 = k - 4*h - 44. Solve p = -5, -4*p - 25 = -51*o + k*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1056)\/42)\/(-11) + -2*1. What is the smallest value in -3, 3\/5, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 9, -5, -15, -114, 5 in descending order.\nAnswer: 32, 9, 5, -5, -15, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -232 + -4?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -366*v**2 + 148*v**2 - 14221 + 14221. Let x(s) = -2*s. Determine x(q(a)).\nAnswer: 436*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/2 - (-14)\/(-4). What is the smallest value in -3, v, 1\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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 x = -65 + 65. Suppose 24*h - 21*h = x. Put 4, h, 8 in decreasing order.\nAnswer: 8, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7056 - -7102. Calculate the remainder when 1930 is divided by o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0323 - -0.0666. What is p rounded to 3 decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + s + 1. Let y(b) = b**2 + 3*b + 5. Give g(l) - y(l).\nAnswer: -l**3 - l**2 - 2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -5*f**4\/6 - f**3\/6 - 11*f**2 + 2*f. Suppose n = 35*n - 34. Calculate q(n).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**4\/12 + 3*m**2. Let f(p) be the second derivative of 181*p**3\/6 - p**2\/2 - 72*p. Determine f(s(q)).\nAnswer: -362*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 3 + sqrt(432) - -6*4*sqrt(3).\nAnswer: 3 + 37*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 44*n + 7. Let a be w(-3). Let q = a - -212. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -280*o**3 - 51*o**3 + 117*o**3 + 134517*o**2 - 135085*o**2 - 445*o**3 wrt o?\nAnswer: -3954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19837 is divided by 19265.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12967, -12943, -12893, -12805, -12667?\nAnswer: -12467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w - 1. Let c = 12 + -11. Calculate s(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148 divided by 44.\nAnswer: 37\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/4)\/((-39)\/104). Find c such that -4*c**4 + 3*c**3 + 109*c**2 - 2*c**5 - c**3 - 105*c**h = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (36 - (-5 + 52)) - (94 + (-2 - -2))\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 125977867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k - 2. Let t(o) = 67*o - 35. Let y be 1 + 4 + -7 + -1. Let j(c) = 33*c - 18. Let h(l) = y*t(l) + 7*j(l). Determine 21*a(w) - 2*h(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3 = -3*j. Let n be (15\/(-6))\/(j\/(-2)). What is the units digit of 16\/((6 - 1)\/n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2380)\/28*(-5)\/(100\/32). Calculate the greatest common divisor of x and 3672.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 - 15*o - 2. Let i be 2\/9*1827\/58. What is c(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -93, 0.2 in descending order.\nAnswer: 0.2, -4, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3 + 5*x + 66*x**2 + 2 + 5 + 5*x + 3. Is r(-2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - d17a?\nAnswer: -d188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104365690 by 55.\nAnswer: 1897558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, e: 7}. Give prob of picking 3 e and 1 q.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-1)\/(-14))*98\/(-49)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 42. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 8*q**2 - 3*q + 6. Let j(u) = -u**3 + 17*u**2 - 7*u + 13. Calculate -13*i(o) + 6*j(o).\nAnswer: -6*o**3 - 2*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zczegeeeeqeeaceezee. What is prob of picking 1 e, 1 c, and 1 z?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 l, and 1 w when four letters picked without replacement from wmlle.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4*q - 16, 4*r - 75*q + 74*q - 13 = 0. Solve -2*w - r = 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 4:10 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -155*d - 10. Determine r(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d - 8. Let a = -109 + 105. Calculate i(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2221, -3, -1\/12, 227, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 j when two letters picked without replacement from jytjhjotojtojjt.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 315235380 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 7.4103338?\nAnswer: -6.9103338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-17)\/(51\/(-18)))\/((-4)\/(-126)). Which is greater: 379\/2 or d?\nAnswer: 379\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8952.\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5 + 3111*z**4 - 4675*z**3 - 6225*z**2 + 4673*z + 3114 = 0. What is z?\nAnswer: -1557, -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00046806009 to 6 dps.\nAnswer: -0.000468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1101 and 242468826?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41317?\nAnswer: 79, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 7*d**2 - 7*d + 1. Let o be s(-7). Suppose -3*j - 2*j + o = 0. Solve 0*z + 4*z + 3*a = -18, -j = 2*z + 2*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**14*o*(o**20*o)\/o)\/(o\/(o\/(o**1\/o)))**(14\/3) assuming o is positive.\nAnswer: o**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*p + 356 - 282 = -332 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*6\/(-50)*20\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of z**9\/3024 - z**6\/120 - 4*z**3\/3 - 3. Let h(p) be the third derivative of a(p). Find the third derivative of h(v) wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**2. Let l(u) = -2881*u. Give l(i(o)).\nAnswer: 11524*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 6*g + 21 + 12 + 11*g - 64 to t + y*g and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j - 63 = 0. Let m(t) = t**3 - 5*t**2 - 2*t. Let q be m(5). Let x be 12\/j*(-7)\/q. Which is the smallest value? (a) 2\/9 (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**3 - 33*u + 33*u + (0 + 0 - 2*u)*(-17*u**2 - 11*u**2 + 4*u**2) + 1 + 2 - u**2 + 2*u**3 - 5.\nAnswer: 47*u**3 - u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (10*12\/150)\/(1152\/(-6480))\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 18 = -4*t, -6*t + 31 = -3*t - 5*s. Find the third derivative of -18*b**2 + 3*b**3 - t*b**3 + 17*b**2 wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 163934368 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*q - 0*q - 16, 3*q = -3*c - 12. Suppose q*l + l + 4 = 3*i, 4*i - 2*l - 2 = 0. Let m(w) = 5*w - 19. Let p be m(4). Solve d - p = -i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 1 = p, p = 11*q - 13*q + 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n + 125 = 189. What is the closest to -5 in 9, 3\/2, n?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -15 + 3*n - 40 - n + 72. Let w be f(-11). Sort w, 0, 4.\nAnswer: w, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146949 and 4015.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23335, 93335, 209993, 373303, 583259, 839855, 1143085?\n\"Answer: -h**3 + 23335*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*o = -33*o + 381280. What are the prime factors of o?\nAnswer: 2, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*o + 34*o + 64. Calculate the remainder when 92 is divided by o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bciicbmicmcbcmcckb. Give prob of picking 1 m, 1 b, and 1 i.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 22 (c) 0.1 (d) -2 (e) -136 (f) -0.5 (g) -1\/184\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24115*l**2*q**2 + l**2*q + 3*l**2 - 10*l*q**4 + l*q - 175695*l - 2*q wrt q?\nAnswer: -48230*l**2 - 120*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/495336 or -3?\nAnswer: 1\/495336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20313 - 233110?\nAnswer: -212131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31315065 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40818*i - 621092 - 429272 - 255812 = 0 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**5 + 4*u**5 - 2*u**5 + (0*u**4 + u**4 + 0*u**4)*(2*u + 0*u - 3*u) + 4*u - 4*u + 2*u**5)*(1 - 5 - 11).\nAnswer: -45*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-2*t - 1 + 1) + 6*t - 2*t - 2*t + 0*t + 3*t - t + (-4*t + t + 5*t)*(1 - 2 + 3).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 9*c**2. Let f(v) = 153*v**2 - 127. Give f(s(x)).\nAnswer: 12393*x**4 - 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 3*g. Let f be s(-2). Suppose f*w = 2*q + 10, w + 3*q + 10 = -w. Which is the third smallest value? (a) w (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = u - 39, 0*u - 4*u + 5*z + 126 = 0. Which is the smallest value? (a) u (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614 (base 9) in base 5?\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 - 7*k + 26. Let y(g) = -4*g**2 + 14*g - 49. What is 7*c(s) + 4*y(s)?\nAnswer: 5*s**2 + 7*s - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + (sqrt(243)*-2 - sqrt(243))*-2 + sqrt(243))**2 - (sqrt(243) + -2)*6)*3*2 + -1 + -1.\nAnswer: -324*sqrt(3) + 93382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 6. Suppose -115 = -l - d*l. Let p = l - 6. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 0 - (-247 + 240)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 10*d**3 + 5*d**2\/2 + 5*d - 146. Let b be ((-2)\/4)\/(1\/4). Is f(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.00052 weeks to nanoseconds.\nAnswer: 5443514496000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 4. Let z be 4 - ((-6)\/(-21))\/(4\/56). Let w be s(z). Solve -3 = v + 5*f, 3 - 10 = -w*v - f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*r = -396, -5*m - r - 99 = -6*m. Suppose -3*q = -12*q + m. Sort -5, -1\/4, q, 2\/5 in ascending order.\nAnswer: -5, -1\/4, 2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 952 - 732. Suppose 0 = -t*m + 225*m - 1925. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -206208 or -8?\nAnswer: -206208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -549*l**2 + 1909419*l + 10434.\nAnswer: -3*(l - 3478)*(183*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b75 (base 13) to base 16.\nAnswer: 18cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 158 = -184. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 12, 7*c - 18 = 4*c + 3*q. Suppose -4*d - 5*g = -89, -c*d = d - g - 107. Calculate the remainder when 37 is divided by 4\/(-1)*d\/(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -2\/29, -0.249, -3\/5?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 8:28 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 3306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 9*n**2 - 9*n + 10. Let h be i(8). Is 1\/2 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 43?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 447 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -165*n**2 + 8*n - 2. Calculate x(-1).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4284335 and -0.091184?\nAnswer: 4284334.908816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/8)*z**(-9\/7) assuming z is positive.\nAnswer: z**(-51\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 + 4.05. Let b = -14 + 2. Let p = b - -14. What is the biggest value in 0, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/9)\/(-1)*2\/12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 18 = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 29.\nAnswer: -17\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -631719\/272 + 70432\/17. Let d = 1820 - b. Calculate the common denominator of 7\/8 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 6)*(-44*w - 59*w + 46*w)*(34*w - 60*w + 34*w) to u*w**2 + a + g*w and give u.\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*j**5 - 3 + (-2*j + 0 + 0)*(-4*j + 4*j - 2*j**4) + 2*j**5 + 0*j**5 - 4*j**5 + j**5 - j**5 - j**5 + 0*j**4 - 4*j**5 + 0*j**4.\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -29*u - 11868. What is a(-417)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 405.7082 micrometers?\nAnswer: 405708.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 75. Let i = p - -22. Calculate the greatest common divisor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -34*z + 1. Give u(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 4, -1 in ascending order.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.17364\nAnswer: -0.017364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1178903, 2357796, 3536689?\nAnswer: 4715582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5430.809 centimeters in kilometers?\nAnswer: 0.05430809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*o = 250. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34324242004 + 3?\nAnswer: -34324242001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1445*c**4 - 2254540*c**3 - 879668420*c**2 - 206887200*c - 12168000.\nAnswer: -5*(c + 780)**2*(17*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 3*j**2 - 3*j**2)*(-157 + 142 + j + 11*j).\nAnswer: 24*j**4 - 30*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from occvvcocccrccvvcz. Give prob of picking 2 o and 1 c.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)\/b*b\/(b\/(b*b*b**7\/b)))\/((b\/((b*b\/b**(1\/4))\/b))\/b*(b**(-3)*b*b)\/b) assuming b is positive.\nAnswer: b**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392957?\nAnswer: 392957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1299*(5\/(-10) + 30\/36) is divided by 150.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2 + 0)*0. Let g = -29 - -31. Let z = m + g. Solve z*t + 3*s = -6, -t + 2*s = t - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0095752 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by (((-16)\/20)\/(-2))\/(2\/210).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhrhrhhhh. Give prob of picking 2 h.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4632 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**3\/6 + a**2\/2 + 11*a. Determine j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a century in years?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - 2.8. Let o = 0.0959 - 4.1059. Let t = o - u. Round t to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from {l: 2, t: 2, i: 1, r: 4, m: 6}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368035.\nAnswer: 5, 73607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l = 11*l + 21*l - 24. Solve -31 + 7 = -l*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1240 = 5*v - 5*b, 1213 = -2*v - 3*v - 4*b. Let c be 4\/20 + 6\/((-150)\/v). Suppose 3*m = 23 - 5. Solve -c = -y + m*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599\/6 >= 100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**5\/5 - 524*z**4\/5 - 44404*z**3\/5 - 84004*z**2\/5 + 219792*z\/5 + 51984 = 0.\nAnswer: -57, -3, -1, 2, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 2 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4*-56.64\nAnswer: -226.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5e0c (base 15) in base 10?\nAnswer: -20037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -1. Let h = 1896.1 + -1896.5. Which is the nearest to -1\/4? (a) z (b) h (c) -2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -40, -95, -172, -271, -392, -535?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/35)\/(39\/390) - -18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*v)*(3*v + 4*v - 2*v)*(31*v**3 - 83*v**3 + 39*v**3).\nAnswer: 130*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, -0.024, -2\/127, 1, 0.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-32)*10\/15)\/(2\/(-24)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1584 divided by 212\nAnswer: 396\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + -56 - (-136)\/20.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -61287798 divided by 20429266\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 174 and 174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m - 6. Let q = 0 + -5. Let n(v) = -2*v + 7. Let y(p) = q*l(p) - 4*n(p). What is y(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/2004 and 27\/14.\nAnswer: 14028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 926.758ml in litres?\nAnswer: 0.926758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32001 (base 4) in base 3?\nAnswer: 1020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (185\/(-20))\/(2\/8). Let i = q - -15. Let v = i - -44. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -2\/11 (c) 0 (d) 9 (e) 84 (f) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69\/395 - 2\/79. Let k = 0.8 - -1.7. Let j = -0.5 - k. Sort i, j, -1 in increasing order.\nAnswer: j, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**4 - 33*p**3 + 16*p**3 - 80*p - 20*p wrt p.\nAnswer: 12*p**2 - 102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-36)\/16)\/(54\/9)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 - -7. Let z = -77 - h. Let v be (((-2)\/z)\/(-10))\/(6\/45). Sort 12, v, 1\/2 in increasing order.\nAnswer: 1\/2, v, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/18 and -19\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b + 68*b - 26*b - 22*b - 23*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14966, -14989, -15034, -15107, -15214, -15361, -15554?\nAnswer: -15799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1621620\/66 - (-12 + 1).\nAnswer: 47, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 10*t - 10. Let b be w(-5). Let a be (-8)\/3*135\/b. Solve -c - c = -a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t - 4. Suppose 6 = 5*a + 2*u, 32*a = 37*a + u - 3. Calculate the remainder when t*68 + 3 + a is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44853*q + 1400*q**3 + 19 + 44853*q.\nAnswer: 1400*q**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -5*j + 11, 22*k - 29 - 44 + 2 = -5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6022925?\nAnswer: 5, 103, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 279094 = 10*c + 39784. What is the thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(17) - sqrt(272)))*-5)**2.\nAnswer: -150*sqrt(17) + 3850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8 = 0, -304 = -j - 5*t + 232. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2323 - 2321. Solve 5*z = 2*z - p*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -19, 5.\nAnswer: -19, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 + 0.07. Let p = f - 1. Which is the third smallest value? (a) -5 (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -20*j - 1600. Let w be f(-80). Let y(x) be the first derivative of 3\/20*x**4 + 0*x + w*x**2 - 1\/5*x**3 - 13. Factor y(o).\nAnswer: 3*o**2*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 17*i - 69 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 2*l - l**3 + (251*l**3 - 150*l**3 - 144*l**3)*(23 - 24 + 16) to x*l**3 + r*l**2 + h + d*l and give x.\nAnswer: -646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -4. Let c(u) = -u**3 + 5*u**2 - 4*u + 3. Let v be c(l). Solve 4*r = -v + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111100011111 (base 2) in base 13?\nAnswer: b112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131\/(-2)*(-24 + 22)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unskuannuske. Give prob of picking 1 u and 1 e.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 6:50 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 6*u**2 + 5*u + 1. Let s be v(5). List the prime factors of (s - 6)*(-6)\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -20.5?\nAnswer: 20.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**4\/12 - 8*l**2. Let t(a) = 52*a. Let d(j) = 3901*j. Let h(y) = -5*d(y) + 376*t(y). Calculate k(h(q)).\nAnswer: 94*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.97554 in 1\/3, 3, 0.4, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7157443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 3\/33786835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3564 and 528?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 2*m + 0 + 3 + m - 3 + 3 + (-m - m + 0*m)*(2 - 6 + 2) + 56*m + 114 - 114.\nAnswer: 59*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 3*u - 1. Let o be x(4). Suppose 0*g = -o*g + 3*z + 24, 2*g - z = 13. Suppose g*h = h + 176000. What is h rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 7:04 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c + 2 - 20. Suppose y + 40 = 3*b, 33 = 2*b + y - c. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84.75 + 194.4. Let a = -120 + o. Round a to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-15))\/((-235)\/(-22325)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708539.\nAnswer: 13, 54503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j. Let f be (-2 + j)*(-42)\/12. Let z be (-62 + -1)*(-1 - 0). What is the highest common divisor of f and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 170 - 164. Find the third derivative of 67*k**l + 56*k**6 + 10*k**5 - 10*k**5 - 52*k**2 + 0*k**2 wrt k.\nAnswer: 14760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11669*11.05\nAnswer: 128942.45","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 160822 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011 (base 3) to base 6.\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2. Let l(q) = 23*q**2 + 13. Determine l(z(g)).\nAnswer: 92*g**4 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/30 and -67\/15770070.\nAnswer: 15770070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -30040469704?\nAnswer: -30040469704.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, -173, -569, -1321, -2543, -4349, -6853, -10169?\n\"Answer: -19*w**3 - 7*w**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**5 - 678*x**3 + 22*x - 25.\nAnswer: 20*x**3 - 4068*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -8 - 4*u + 8 + 8*u**2. Let l = -13 - -16. Let t be k(l). Calculate the greatest common factor of t and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.636 - 106.927. Let j = k + 68. Let h = j - -1.23. Round h to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 620, 2506, 5658, 10076, 15760, 22710, 30926?\nAnswer: 40408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/2, -0.2, -37 in descending order.\nAnswer: -0.2, -7\/2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**3 + 13*p. Let r(c) = 9*c**2 - 4*c**2 + c**2 - 3*c**2. Give v(r(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -k + 2*k + 28, -2*k - 1 = -z. Let c = -3430 + 58304\/17. What is the smallest value in z, 2\/15, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*j - 19*j - 43. Let f(m) = -m**3 - 2*m**2 + 2*m + 3. Let w be f(-3). Sort j, w, -2, -5 in decreasing order.\nAnswer: w, j, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1307525 (base 8) to base 4.\nAnswer: 1120331111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36181?\nAnswer: 97, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 8:20 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + 6*(-3 + sqrt(72))**2.\nAnswer: -210*sqrt(2) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -169, -336, -491, -634?\n\"Answer: 6*m**2 - 185*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -16*c**2 - 16*c + 2. Let w(v) = 4*v + 70. Let x be w(-17). Let g(q) = -5*q**2 - 5*q. Let d(j) = x*m(j) - 7*g(j). Determine d(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 3*a. Let u(p) = 2*p**2 + 3*p**2 - 5*p - 3*p**2. Suppose -2*f = 5*t - 4*f - 4, 2*f = 6. Suppose 8*v + 18 = t*v. Calculate v*u(o) - 5*j(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/17 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 14*d - 17. Let r be m(5). Solve -3*p - 4*b - b + 22 = 0, -2*b = r*p - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvtt when four letters picked without replacement from {t: 2, v: 7, j: 2}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 342323 and 2.8.\nAnswer: 958504.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 426, -0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-144)\/(-60)*(-20)\/(-12). Solve 4*l + 4*y - 256 = -224, g*y = 20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 187257*d*s**3 - 7*s**3 - 37*s**2 - 7*s - 5 wrt d.\nAnswer: 187257*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/(-42) - 4\/14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16098 + 16098 - 11887*l + (-l + 0*l + 3*l)*(4 + 2 - 2).\nAnswer: -11879*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -3441\nAnswer: -10323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.225 times -4\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-13)\/((c*c**14)\/c) assuming c is positive.\nAnswer: c**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1, 36, 95, 178, 285, 416?\n\"Answer: 12*n**2 - n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37812.\nAnswer: 2, 3, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*u**2*x**5 + 155*u**2*x**3 - 6*u**2*x + 13*u*x**2 + 20*x**2 wrt x.\nAnswer: -180*u**2*x**2 + 930*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/5))**40*n**(-1\/5)*n**(-1))\/((n*n**(-1\/6)*n)\/(n\/(n\/n**(3\/7)))*(n\/((n**(3\/5)\/n)\/n))\/(n**(-5)*n)) assuming n is positive.\nAnswer: n**(3149\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - l + 2. Let f be w(0). Let p(c) = 1 + c + f*c + 0*c. Suppose 0*y = 5*y + 15. What is p(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.799 - 1.699. Which is the closest to 0.2? (a) 0.13 (b) -1\/5 (c) -2 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 - 268 = -r. Let s be ((-10)\/(-3))\/(r\/15 - 8). Find j, given that -5\/4*j**2 + 0 + 5\/4*j**4 + 5\/2*j - 15\/4*j**3 + s*j**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 + 3.8. Let l = -29 - -32. Sort 1, l, s, 2 in descending order.\nAnswer: s, l, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -131 by 22121.\nAnswer: -131\/22121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2))*1)**2 + 0 - (-2 + (0 + sqrt(72))**2) - (-4 + ((sqrt(16)\/sqrt(4))\/sqrt(2) - (3*(sqrt(2) + -1 + sqrt(2)))**2))*4.\nAnswer: -148*sqrt(2) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -4\/24353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 = 5. Suppose -17*c = -4*c + 1287. Let i = n - c. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -19\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295385*p**3 - 2189895*p**3 - 466279*p**3.\nAnswer: -2360789*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 + 2309.\nAnswer: 2439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5756*l + 3*l**3 + 5756*l - 24*l**2.\nAnswer: 3*l**2*(l - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -46b?\nAnswer: -46e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/12*1*-1. Let j = -1.9 - -1.73. Let n = -0.33 + j. Sort x, -4, n in ascending order.\nAnswer: -4, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.28, -57, -2, 2\/3, 5\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -778*l + 1014*l + 787*l + 1342*l + (1 - 5 + 7)*(1 - 1 - l + (1 + 1 + 0)*(-2*l + 3*l + l) - 2 + 2 - 2*l) as y + u*l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 75552 + -2?\nAnswer: 75550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 75*-0.3.\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {n: 4, y: 3, q: 1, m: 5, j: 1, t: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1bc3d0 (base 15) to base 11\nAnswer: 848000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 16. Suppose -p + 13 = -3*w, 3*p + 28 = 5*p - d*w. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4403, -4110, -3325, -1802, 705, 4442, 9655?\n\"Answer: 41*m**3 + 6*m - 4450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - 12121?\nAnswer: -12136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 567569294?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*f = 4673 + 15613 + 1406 for f.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 187 and 33.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 458, -1\/2 in decreasing order.\nAnswer: 458, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4\/8*-4*-1*(-5)\/10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 + -1312?\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-2 - -4))*(-3 + 5). Let i = -1\/6 + 1\/10. Let k = i + 4\/15. Which is the nearest to w? (a) k (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 426.744 - 0.744. Let p = g + -436.28. Let c = p - -1.08. What is c rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65874 is divided by 12982?\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12 - -8 - (-1 - 6). Suppose 4*k - h = 9. Suppose 5*q = k*q + 54. Calculate the remainder when q is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -8. Let j be (2\/(-8))\/(h\/24). Let l be (6 + -11)\/(-2 + 2 + -1). What is the biggest value in j, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**2 - 486*f - 10275 = 0.\nAnswer: -137, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213400240 (base 5) to base 15.\nAnswer: 13239a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 959 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -50094681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 17*s - 26. Let l(c) = c**3 + 5*c**2 - 21*c - 104. Let t be l(-5). Give h(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 614 = -9*l - 479, 5*w + 7 = -8 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4170 = 2*a, 2075 = a - 4*k + k. Does 87 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9)*m*m*m*m\/(m**12\/m))**2*(m**2*m)**(-34)*m**(5\/2)*m**4 assuming m is positive.\nAnswer: m**(-1963\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 4. Let f(g) = g**3 + 8*g**2 + 4*g - 10. Let m be f(s). What is the highest common factor of m and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1472 = 84*y - 107*y. Suppose -5*n - r = -112, -4*n + 4*r + 72 = -8. Calculate the remainder when y is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3\/3 + 81908*f**2\/3 + 838615058*f\/3 = 0.\nAnswer: -20477, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 43063 (base 9) to base 10\nAnswer: 28488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 - 78. Let q = -5 - p. What is the remainder when q is divided by 8\/(2\/(3 + -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -692, -2227, -4786, -8369, -12976, -18607, -25262?\nAnswer: -32941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 + 1 + 2 + 0 to the form p + z*i**2 + g*i and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zndoosnsqno. Give prob of sequence qn.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 8*i - 63. Let b be y(-11). Let f = -80 + b. Calculate the lowest common multiple of 33 and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(2 - 0 - 2). Suppose i = 5*w + 3*t - 22, 0*w - w - 5*t = -22. What is the least common multiple of w and 2 - 1 - (0 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n. Let s(r) = -r**3 - 3*r**2 - 6*r - 6. Let k(o) = -6*l(o) + s(o). Let a be k(-4). Suppose 20 = x + 5*y - a, -179 = -5*x + 4*y. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489282 is divided by 44.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-336)\/(-21) + -16 + -1*23643\/(-3) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 177581923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + q**2 + 0*q**2)*(5 - 2*q**2 - 5) + (q - 5*q + 3*q)*(-3*q**3 + 2*q**3 + 2*q**3) + 2*q**4 - 2*q + 2*q.\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -0.0503 (c) 0.5 (d) 3 (e) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -8*n + 3*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*r + 37734 = 542*r + 674*r for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71599, 71646, 71693, 71740, 71787, 71834?\nAnswer: 71881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 185*u**2. Let v(j) = -14*j. Calculate v(l(p)).\nAnswer: -2590*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -12.42527.\nAnswer: -24.85054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 0 (c) 4\/9 (d) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q = 3*q - 7*q + 286 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14124 + -43?\nAnswer: -14211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**2 - 1560844*h - 10926006 = 0.\nAnswer: -7, 780429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*q**2\/7 + 82*q\/7 + 12\/7.\nAnswer: 2*(q + 3)*(13*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 481, 1031, 1673, 2437, 3353, 4451, 5761, 7313?\nAnswer: 9137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-66 - -12)\/((-2)\/49)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19456 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 55 (b) 0.01 (c) -0.1 (d) 9 (e) 3 (f) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 2*a - 97. Suppose 2*t = -3*j - 2*t + a, -4 = -2*t. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 63\/12 - (-62)\/(-8). Is j less than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + 15. Suppose -5*m + p = 11. Let q = -32 - -31. Sort q, m, 2.\nAnswer: q, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262*h + 61 = -258*h + 1. Solve -6*v - 42 = h*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2191*u**3 - 195991*u**2 + 236349660*u.\nAnswer: 13146*u - 391982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x - 41 = -5*n, 0 = -4*n - x + 24. Solve -2 = n*l - 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20231679*m**3 - 7142239*m**2 wrt m.\nAnswer: -121390074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -12, -2 in ascending order.\nAnswer: -12, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -110382.\nAnswer: -110381.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 7*t**2 + 8*t - 2. Let i be (1\/6*-2)\/((-9)\/297). Let u = i - 3. Let p be w(u). Is -14\/23 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*b + 27. Suppose -b*j - 5 = -23. Suppose n - t = 76999, -5*t + 199155 = j*n + 45150. What is n rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51, 141, 345, 717, 1311, 2181?\n\"Answer: 9*b**3 + 3*b**2 + 18*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 3, 4\/9, 0.2, 2\/9, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**2 - 3*c**5 - 15*c**2 + 10*c**4 - 10*c**4 wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*z**2 + 28344*z - 226*z**2 - 28344*z.\nAnswer: -81*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -95*n + 47*n + 42*n. Determine x(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5*z - 6, 3*z = -113*k + 112*k + 19. Solve -k*s = -4*s - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*l - 9*l - l - 5*l in the form i*l + v and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 6) + 13 - -13?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10154 - -10595. Calculate the smallest common multiple of 8 and w.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20520 and 19248.\nAnswer: 16457040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 7*t**2 + 53. Determine o(7).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 + m**4 - 5*m**4)*(3*m - 3*m + 2*m) + (-2*m**3 + m**2 - m**2)*(3*m**2 + 5 - 5).\nAnswer: -10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 - -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-272)\/(-72))\/((-15)\/135)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1309 + -0.3309. Which is the closest to -1? (a) -1\/9 (b) -3\/2 (c) 3\/5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(3*a - 3*a - a**5) - 51*a**4 - 50*a**5 + 51*a**4 + 2*a.\nAnswer: -52*a**5 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23147, -46254, -69327, -92366, -115371, -138342?\nAnswer: -161279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.6 (b) -2\/7 (c) 1\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**3 - 76*v**2 + 9233*v - 138275. What is c(15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -i - 78, 0*r - 5*i = -4*r + 104. Suppose u - 5*s = 32, -2*u + r = -s + 7. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.03 + -0.03. Let f = -3 + 1. Let s = 5 + -23\/5. Which is the third biggest value? (a) s (b) f (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 7. Let s = 1.5 + -2. Which is the third biggest value? (a) -2 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 159376 and 10456.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2271699, -4543410, -6815123, -9086838, -11358555, -13630274?\n\"Answer: -k**2 - 2271708*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 142*p + 57\/2*p**2 + 1\/3*p**3 + 87. What is the derivative of k(t) wrt t?\nAnswer: 2*t + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u - 13*u - 6*u + u**3 + 24*u + 9 to the form v*u**3 + i*u + w*u**2 + c and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 u, and 2 d when four letters picked without replacement from udydddgydudu?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 + 188 - 41 - g + 157.\nAnswer: -g + 421","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/7 = 186.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -5 (c) -7559 (d) -3.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58 and -1.68.\nAnswer: -97.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 607*-9.51\nAnswer: -5772.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9006 divided by -79.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001665007 rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*f - 5 - f**2 + 3 - 24*f)*(6*f**3 + 0*f**3 + 15*f**3).\nAnswer: -21*f**5 - 42*f**4 - 42*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.984*-0.17.\nAnswer: -0.16728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 200278709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 356 - 228. Suppose 2*g = z + 220, g = 2*z - 15 + k. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 9174961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -42*f - 116. Let l(s) = -27*s - 81. Calculate 8*l(c) - 5*p(c).\nAnswer: -6*c - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -245 + -141?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -116, 3, -2, 2, 262, 0 in decreasing order.\nAnswer: 262, 3, 2, 0, -2, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iri when three letters picked without replacement from {r: 4, i: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*w**2 - 17*w**2 + 54*w**2 - 36*w**2.\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*b**3 - 21*b**3 - 30*b**3 + 50*b**3 - 22*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.32416 litres in millilitres?\nAnswer: 39324.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -37835 divided by -5\nAnswer: 7567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32611 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 32 - (2 + 1 - (-19 - 3)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 5:36 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2. Let u(w) = -7383*w + 258. Let r(i) = 1779303*i - 62307. Let s(j) = 2*r(j) + 483*u(j). What is s(b(l))?\nAnswer: -7383*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 8 + 2. Let n(b) = -b**3 + 11*b**2 - 6*b - 29. What is the remainder when 20 is divided by n(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45114 (base 7) to base 4.\nAnswer: 2301303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139 - -141. What is the tens digit of (-2)\/(r\/(-237)) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**3 - 6*w**3 - 2 + 3 - 10*w**2 - 10*w in the form u*w**3 + m + p*w**2 + i*w and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2600*-0.1\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*y - 1100753 + 417303, 5*t - 2*y - 683457 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1320 and -151\/990?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*p**2 - 11*p**2 - 24*p**2 - 11*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l + 10. Let u(q) = -q + 1. Let f(y) = -k(y) + 6*u(y). Give f(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 - 2*b**2 - 3*b - 2. Calculate a(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 28*k**2 + 3*k - 21. Let s be h(28). What is the greatest common divisor of s and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -663271\/16 - -41459. Calculate the common denominator of -47\/29280 and h.\nAnswer: 29280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1 (b) 452096 (c) 1\/2 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 2*x**5 + 3*x**2)*(50 + 11 + 14) + (459 - 17*x**5 - 459)*(4 - 3 + 1).\nAnswer: 116*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 29*w**2 - 32*w + 59. List the prime factors of t(-28).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 10:15 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -1712180307927?\nAnswer: 1712180307927.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 - (-8 + 6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 67 = -3*x. Let i be (-1 - 18\/x)\/(2\/(-1140)). Let l = i + -100. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 20, w - 21 = -4*j + 8. Let b = 13 - j. Let p(y) = 5*y + 6. What is the remainder when p(b) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036 divided by 4?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 7. Suppose -15 = 4*f - c*f. Let y = -35 - f. What is y rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o**4 - 28108*o**3 + 104024*o**2 + 368688*o + 96192 = 0.\nAnswer: -2, -2\/7, 6, 2004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2\/1317, 660, 5 in ascending order.\nAnswer: -1\/2, 2\/1317, 5, 660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4068058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1711*l + 16323 + 53828 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -41 + (-9 - -29).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -5\/12*i**4 + 0 + 0*i**2 - 5*i + 0*i**3. Let k(m) = 2*m. What is k(w(d))?\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1140 divided by -12.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119\/96 + 3\/32. Let i be ((-4)\/6 + 0)*-3. Factor 4\/3*c + 1\/3*c**i + b.\nAnswer: (c + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -690*f**2 - 18*f**3 - 691*f**2 + 1381*f**2.\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -15*n - 6*n**2 + 5*n - n**3 - 2 - 4*n**2 - 4. Let w = -16 + 7. Let h be i(w). Solve -4*j + k - 2*k + 19 = 0, h*j - 3*k - 18 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 0.48, 5, 6, -1\/3, 0.11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 2*b - 0 - 5, -2 = -2*n + 5*b. Let q be n\/((10\/52)\/5). What is the greatest common divisor of 39 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1407822, 2815622, 4223444, 5631300, 7039202, 8447162, 9855192, 11263304?\n\"Answer: 2*o**3 - o**2 + 1407789*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10501 is divided by 5041?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -131 - -134. Let t(w) = w**2 - 6. Calculate t(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7690*b**2 + 376*b - 754*b + 378*b + 5845*b**2. Let w(h) = h. What is w(i(x))?\nAnswer: 13535*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 1:31 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1664)\/(-552) - 3)*2. Is 1 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 12 - 4 = 0, 5*c + 32 = -3*o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 20, 2*v = -f - 5 + 2. Let d be (3 - v) + (1 - 3). Let t = 2 + d. Solve -7 - t = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2. Let i(w) = -28337*w. What is n(i(h))?\nAnswer: 802985569*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d + 98*d**2 - 46*d**2 + 2*d + 11*d.\nAnswer: 52*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 6*o**2 + 6*o - 3. Let z be d(5). Let c = 1 - z. Let x be (c - 2999)\/((-9)\/(-16800)). What is x rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 12*w - w. Suppose w*o = 12*o - 6710. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 - 67*l - 88. What is the remainder when 283 is divided by x(24)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 u when four letters picked without replacement from {v: 2, u: 2, d: 2, z: 1, x: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 560 and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 7*g + 93 = 0. What are the prime factors of g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.5, 4, -5\/4, -21866 in descending order.\nAnswer: 4, -0.5, -5\/4, -4, -21866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 34*d**2 + 32*d + 44. Let b be t(33). Which is greater: b or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.67971 and -0.17.\nAnswer: 1.4755507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i - 8*i - 2*i**3)*(4 - 4 + i).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 3*h - 3. Let y be r(-5). Suppose 2*v = p + 1, -3*v - 3*p = p - y. Let i = 398\/5 + -80. Which is greater: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 + 3.08. Let x = 5 + -4. Let m = -74 - -71. Which is the second biggest value? (a) s (b) m (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (((-2 + sqrt(1539) + 2 - sqrt(1539)) + sqrt(1539))*1 + 2*(sqrt(1539) - 3*sqrt(1539)*-6))*1 + 3)**2.\nAnswer: 5616*sqrt(19) + 2340883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -91709, -366694, -824997, -1466618?\n\"Answer: -91659*u**2 - 8*u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 94\/527367 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1318 - 724. Suppose q = -q + j. Calculate the greatest common divisor of 27 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.435 times 1?\nAnswer: 0.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4, 3*a + p = -27 + 80. Suppose -a*m - 337 = -19*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49429673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**8\/4032 - r**7\/1008 - r**6\/72 + 17*r**5\/60 + 15*r**2. Let a(s) be the third derivative of y(s). Find f such that a(f) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -6 + 1. Let j be (-2)\/l - (-6488)\/20. Suppose 3*x - a - 196 = -2*a, -5*x + a = -j. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 + 75*c**3 - 185 + 277 - 183.\nAnswer: 75*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**28)**(-4\/11)*c\/c**3*c**9 assuming c is positive.\nAnswer: c**(-35\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 37. Let j = 10 - b. Calculate the remainder when j is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 505 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -0.3, -0.1, -554712?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11889)\/(-7926))\/(12\/(-368)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**4\/12 + z**2. Let w(o) be the first derivative of -22*o**3\/3 + 2043. Give w(m(y)).\nAnswer: -88*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 61070*s - 61073*s - 2*w, 2*s - w - 13 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16988681.9 - 0.063.\nAnswer: -16988681.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Convert 95516.73 weeks to hours.\nAnswer: 16046810.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2. Suppose 3*p + 394 = -179. Let x = -125 - p. Let d = x - 62. Determine c(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2953004.\nAnswer: 2, 127, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53 + 12 - -26) + 38.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**2 + 8*g**2 - 5*g - 2*g**2 wrt g.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 942*c - 915*c = 594 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 - -1 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + (38 - -22 - 32)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002892533.\nAnswer: 3, 47, 7112713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 473 - 448. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 16*z**2 + 18*z + 57. Let h be r(-15). Solve 5*l = 2*l - h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 8. Calculate the remainder when 24 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3759828 and 18?\nAnswer: 11279484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3503025 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**4 - 8*q**3 - 20*q**2 = 0.\nAnswer: -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j = -b - 6, 2*j = -b - 10. Let r be (-45)\/6*(2 + j). Find the third derivative of 2*l**2 + 0*l**4 + 7*l**4 - r*l**4 wrt l.\nAnswer: -192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 619877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284965891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y**2 - 93*y - 56. Is 104 a factor of s(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1095, 4096, 9017, 15858, 24619, 35300?\n\"Answer: 960*l**2 + 121*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38.03 and 0.03.\nAnswer: 1.1409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l - 7. Let n be k(3). Suppose v = -1 + n. Let f = -215 - -1933\/9. Which is smaller: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*r + 24, -5*r - k = 4*k. Suppose f = -j, -4*j + r = -f - 6. Let u be (-8)\/20 - (0 + 110\/(-25)). Put j, u, -3 in ascending order.\nAnswer: -3, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 3*b - 5*b)*(0*b**3 + 0*b**3 + 2*b**3) + 9*b**4 + 12*b**2 - 12*b**2.\nAnswer: 7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10124 (base 5) to base 2\nAnswer: -1010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 + x**2 - 3*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5754800827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 332 divide 35335424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (52*x - 47*x + 18*x**2 + 16*x + 37*x**2)*(0*x**2 - 3*x**2 + x**2) as n*x**3 + l + c*x**2 + r*x**4 + t*x and give r.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a day in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-312)\/13 - 6)*1.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 2\/1585779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 12. Let s be (4 - i) + (-10 - -8). Suppose 2*v = -d + 8, 0*v - s*v + 4*d = -8. Calculate the highest common divisor of 32 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((1*sqrt(252))**2 + 2 - ((1 + sqrt(252))**2 + sqrt(252) + -5) - (sqrt(252) - ((sqrt(252) + 1)*4)**2 - 4*1*sqrt(252)))*4)*1.\nAnswer: 768*sqrt(7) + 16211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -577\/48 - 23\/48. Sort -5, w, 0.3 in descending order.\nAnswer: 0.3, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 833 and 68\/(-14)*(-331 + 135).\nAnswer: 6664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1127 = 4*w, 93 + 127 = -k + w. Is k < -216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Let u = 4 + f. What is the second biggest value in -0.4, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/25 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*d = -83, 0 = 12*y - 18*y - 4*d + 458. Calculate the remainder when 2173 is divided by y.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 230*n + 5. Let y be q(7). Let j = -153 + 148. Is -1*1\/(j\/y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + -2*sqrt(2) - sqrt(6)\/(sqrt(3) + sqrt(9)\/sqrt(3))) + 4.\nAnswer: -5*sqrt(2)\/2 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zczephu. What is prob of picking 2 z and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (0\/1)\/(-1). Let c be (6\/2 - x) + 2. Suppose -5 - 22 = -c*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: What is the second smallest value in 24.787, 1\/6, -2\/21?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184659792 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 + 4 - 3\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 0 - 0\/5. Suppose 0 = -z*c + 8. Let j(x) = x**2 - x. Let n(k) = 2*k**2 - k. Let s(v) = c*n(v) - 5*j(v). What is the second derivative of s(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**4\/2 + 35124*i**3 + 105357*i**2 - 35124*i - 210717\/2 = 0 for i.\nAnswer: -23413, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 277 + -253. Calculate the remainder when 60 is divided by o + -5*6\/30*5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2272909 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -20*k**3 - 26*k**2 - 8*k - 8. Let x(q) = 13*q**3 + 17*q**2 + 5*q + 5. Let p(r) = 5*b(r) + 8*x(r). What is the third derivative of p(i) wrt i?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 59690197 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 3. Let y be a(0). Suppose 0*i = -y*i + 6. Calculate the least common multiple of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + b + 1. Let t(u) = -8*u**2 - 7*u - 4. What is t(s) + 4*v(s)?\nAnswer: -12*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1001 = q + 5*x, -1016 = q - x. Let r = q - -1656. What are the prime factors of r?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + -2247?\nAnswer: -2257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/2))**(-4\/13))**11\/(t**1\/(t\/t**2)*t**(-2)*t*t**(-7)) assuming t is positive.\nAnswer: t**(12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (80\/(-32))\/((-2)\/(-44)). Let w = -37 - h. Suppose w = g - 4. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.6 - -1.6. Let h = -70 - -63. Let b = m - h. Is -8 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.4, 1\/6, -32, 1, -43\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6633\/31 - 214. Let i = -59\/93 + y. What is the second smallest value in 0.1, -1\/8, i?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 g when three letters picked without replacement from {i: 5, g: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (0 + -3)\/(-1). Suppose -m + 3*x + 10 = -10, 0 = b*m + 4*x. Solve 2*y = m*h + 21, -4*h + 6*h - 2*y + 12 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 26 = -5*z + y, -4*z + 4*y + 32 = 0. Calculate the smallest common multiple of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 - 95 = 6*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -3. Suppose 2*v = z*v - 6. Suppose -3*l + l = -5*r + 24, v*l - 12 = -4*r. Sort r, -5, 4\/7 in decreasing order.\nAnswer: r, 4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8874879 - 7*g - 8874879 + 69*g**2)*(-5*g - g + 4*g).\nAnswer: -138*g**3 + 14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*i, -2*l = -4*l - i + 11246. Suppose 3*j = -4*j + l. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -12*p**3 - 7*p**2 - 6*p - 6. Suppose -13*r = -134 + 212. Let g(k) = -11*k**3 - 6*k**2 - 5*k - 5. Give r*g(x) + 5*h(x).\nAnswer: 6*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6894 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3452583 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4619*u - 279. Let w(y) = -33*y + 2. Let s(f) = 2*p(f) + 279*w(f). Let b(o) = -15*o. What is 5*b(a) + 3*s(a)?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673404?\nAnswer: 2, 3, 17, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-77))\/2*(-18)\/(-63).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.428 - 0.072. Let x = -16.4328 - c. What is x rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**8\/1680 + i**7\/840 - i**6\/180 - i**3 + 12. Let u(v) be the third derivative of o(v). Find z such that u(z) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*j**4 + 0*j**4 + 0*j**4 + (-5*j**2 + 5*j**2 - 2*j**2)*(-2*j**2 + 0*j + 0*j) + 3*j**4 - 5*j**4 + j**4.\nAnswer: 5*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.73374 times -0.2\nAnswer: 0.146748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 102*f - 20 = 107*f, -4*o + 12 = -3*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 825*d + 12108. Determine l(-15).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 20. Let j = q - 26. Which is the smallest value? (a) j (b) -0.4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 1 = -3*z. Sort -5, z, 3 in descending order.\nAnswer: 3, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l. Let j be f(-2). Suppose 0 = -j*i + 7*i. Is (-4)\/(8\/(-130)) + i a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*x - 6. Let o be (-1)\/(-4)*(-35 + 35). Suppose v - 2*v - a + 248 = 0, -3*v - x*a + 743 = o. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 - y**2 + y**2 - 2778*y**2 + 2778*y**2 - 95*y**3 + 3*y - 3*y - y**3 + (-2*y**2 + 3*y**2 + y**2)*(2*y + 0*y - 3*y).\nAnswer: -96*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -106479, -106534, -106587, -106638?\n\"Answer: s**2 - 58*s - 106422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 a, and 1 r when four letters picked without replacement from ooaroooaoroododad?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7916 + 12072. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = w + 183803, 0 = 2*r - 0*r + 2*w - 73526. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195897136 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 the nearest to 0.1? (a) -2\/3 (b) 3.6356052 (c) 5\/3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 624 = 3*a + a, 0 = -a - 2*l + 161. What are the prime factors of a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**2 - 46*s**2 + 2*s**2 - 12*s**2 + 2*s.\nAnswer: -49*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*o + 3. Suppose 0 = -0*t + t + 3*f - o, 0 = -5*f + 15. Solve 34 = -t*m + 3*j, -5*j = -7 - 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - a. Let n(x) = -6*x**2 - 6*x. What is -5*d(g) + n(g)?\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*f = -0*z + 16, 4 = -z - f. Let i be (-1 - 0)*z\/1. Suppose 2*w + 3 + 5 = -4*s, -5*s + w = 3. Is s greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1676, -0.1, -0.7, 4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*x - 50, -4*x = 2*p - 0*x - 34. Calculate the common denominator of (2084\/336 - -3) + (-6)\/p and 65\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**3 - 11*w**2 + 23*w. What is the least common multiple of i(3) and 9?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 15*v**2 + 19*v - 14. Let h be w(14). Let n = -53 + h. Suppose -b + 226 = n*j - 285, 4*j + 2*b = 682. What are the prime factors of j?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 343 = 2*g, 0 = -3*a + g + 119 - 465. Let j = -80 - a. Suppose 2*k = -4 + 18. What is the highest common divisor of j and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 2979692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-3 - (3 + -4)) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -0.9. What is the third smallest value in 3, s, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205 - 215 - (2 - 7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1445, 5 in ascending order.\nAnswer: -1445, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhho when four letters picked without replacement from {y: 3, o: 2, h: 3, c: 1, v: 1, z: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5668 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2, 1144, -4, 421?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2748a (base 14) to base 10\nAnswer: 96946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006441365865 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.03, -4.3, 4, 2\/9, 16, -2\/7?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 354182 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1684607 seconds in microseconds?\nAnswer: 168460.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*j)*(5 + 1 - 4)*(11 + 10 - 7).\nAnswer: -56*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 3*w - 4*w)*(2 - 4 + 0) + (-1 + 6 - 3)*(94*w - 322*w - 243*w) - w + w + 2*w.\nAnswer: -944*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - -2 - (-5 - -8). Solve -4*m + 0*m = j*y + 4, -4*y + 4*m - 20 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/1)\/((-9)\/(-6)). Suppose -5*s + g + 14 = 0, 5*g + t = 3*s - 2. Suppose 3 = 2*c - s. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 42\/2843, -5?\nAnswer: 42\/2843","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 - 59. Let f(u) = u**2 + u. Let m(a) = 8*a**2 + 8*a - 1. Calculate r*f(k) - m(k).\nAnswer: -2*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3*j - 249, -2*j + 159 = 2*p + 3*p. Calculate the remainder when j is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zee when three letters picked without replacement from zeez.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/146776 and 73\/8316?\nAnswer: 43592472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1846)\/(-130) - (-2)\/(-10). Suppose -39*j + z - 599 = 0. Let l(g) = g**2 + 14*g - 15. Give l(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 12*x - 7. Let c be y(13). Let m(f) = f**2 - 2*f - 10. Let i be m(c). Calculate the highest common divisor of i and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64432269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/16 and (-804)\/(-120) - (-3)\/(-5)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.12 + -0.22. Put y, -0.4, 0.4 in descending order.\nAnswer: 0.4, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/8*-5*(-52)\/195*162\/108?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, -5\/2, -1, 0.209, -0.6 in descending order.\nAnswer: 0.209, -0.6, -1, -5\/2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (448\/16)\/(2 + -173) and 81\/2?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 4:35 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -13*d - 4 + 3 + 12*d. Suppose -4*o - 8 = -2*x, 2*x - x = -3*o - 16. Let y be (0\/(-2))\/o - -4. Calculate t(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.21 - -0.12. Let i = 0.097 + g. Round i to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 - 3*v**3 + v**3)*(0 + 0 - v) + 155*v**4 - 126*v**4 + 326*v**4 - v**4 + 0*v**4 + 3*v**4 + (-2*v**3 - 5*v**3 + 5*v**3)*(2*v + 4*v - 4*v).\nAnswer: 354*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(33\/(-110)*(-25)\/15).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from wsssvsssssssswssssvv.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 905 and 3247585.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 80*o**2 + 12*o - 41*o**2 + 34 to the form m + p*o**2 + h*o and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + (sqrt(171) + 2*sqrt(171) + sqrt(171) - sqrt(171))**2 + 3.\nAnswer: 3*sqrt(19) + 1542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 684288 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 274.\nAnswer: 9864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abb when three letters picked without replacement from bappoaaaabbaapo?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**4\/20 - 24*z**3\/5 + 864*z**2\/5 + 7*z - 3. Factor w(r).\nAnswer: 3*(r - 24)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05635*1445.\nAnswer: 81.42575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/495 and 73\/171105.\nAnswer: 513315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 135*x - 8. Let q(c) = -139*c + 8. Determine 5*g(r) + 4*q(r).\nAnswer: 119*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94098, 186315, 278536, 370761?\nAnswer: 462990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -7991 + 7991 - 134*f**2 + 2*f**5 + f**3 + 46*f**4 - 6*f**3 - f**3 + 92*f = 0.\nAnswer: -23, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-19)\/(-4) + 8\/32. Suppose -3*q + 4*k = 10, 4*q - k = c - 1. Suppose g = -t + 4, 5*g - q = 3*t + g. Solve 0 + t = 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34876 - 15452. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121 + 121 - 11*o**2 to n*o**2 + q*o + x and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 5*g**2 + 5*g. Determine h(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-40) + (-12)\/5. Calculate the remainder when 11 is divided by k\/(-3) + 60\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44500.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 4*a + 3. Suppose 12 = 3*h, -8*h - a = -3*t - 3*h. What is the remainder when 51 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -3443*q**4\/12 - 2647*q**3\/6 - 87*q - 14. What is the second derivative of a(t) wrt t?\nAnswer: -6886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1243053 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/13))**(1\/47)*(p**(3\/4))**13)**(-9) assuming p is positive.\nAnswer: p**(-214533\/2444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45466147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29970532 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99.7 + -156. Round u to zero decimal places.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9228 divided by 2307\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 749.7 plus -0.004?\nAnswer: 749.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195091941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/(j\/j**(2\/3))))\/j)\/j)**36)**(-28\/3)*((j*j**(2\/3)*j)\/(j**(-5)\/j))\/((j*j**(-2\/11))\/(j\/j**(-3))) assuming j is positive.\nAnswer: j**(18871\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 168\/7909 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 245117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**5\/60 - 7*q**4\/24 - q**3 - 26*q**2. What is the remainder when 46 is divided by s(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.077 + -0.077. Let p = -0.02 - -0.02. Which is the closest to h? (a) -5 (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 n when four letters picked without replacement from {n: 4, l: 3, i: 1, e: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (-81 - -109)) + -24.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-14))**(-4\/17) assuming b is positive.\nAnswer: b**(-60\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 8*z**2 - 13*z + 1. Let f be k(-6). What is the tens digit of 43 + 5 + f\/(28\/16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, 62, 176, 364, 644, 1034, 1552, 2216?\n\"Answer: 3*x**3 + 10*x**2 + 7*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3678394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 394, 3569, 12324, 29449, 57734?\n\"Answer: 465*h**3 - 80*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24450 and 1191810?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956976817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 1\/4 (c) -2\/7 (d) -7 (e) -900 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Is s + -1 + (256 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 17)*(9*d - 16*d - 43*d).\nAnswer: -800*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69.468*-41.26.\nAnswer: 2866.24968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*i - 57 = 0, -4*l + i = -0*i - 45. Solve q = -2*q + 2*w - l, -4*w = q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 9, 0.07, -0.08, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2791605 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 11*t**2 - 279*t - 8. Give g(12).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x + 4510 = -26*x. Let u be (-61)\/915 + x\/(-330). What is the fourth biggest value in -22, u, -1, -2\/3?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, f: 2, u: 3, a: 1}. What is prob of sequence bffa?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 2\/41, -39, -0.1?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 182?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2274, 2276, 2288, 2316, 2366?\nAnswer: 2444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*x - 1955 - 1906 + 75*x - 59*x in the form o + c*x and give o.\nAnswer: -3861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*3 + 0 + -2. Differentiate 5 + d - 5*a**2 - 4 - 5 with respect to a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, m: 4, b: 3, u: 6, a: 3, j: 2}. What is prob of picking 1 u, 1 j, and 1 y?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 50, 93, 124, 137, 126, 85?\n\"Answer: -q**3 + 50*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5827 is divided by 1163.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**3 - 1 - 24*i**2 + 9*i**2 - 8 - 21*i = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - -37)*((-23)\/((-207)\/(-36)) - (-9 - -1))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1 = t, -5*t = -w - 0*w - 21. Suppose -h = -0*h - 2*s - 1, -5*h - w*s = -61. Calculate the lowest common multiple of 4 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**12\/(h**(-1\/9)\/h*h**(1\/5)) assuming h is positive.\nAnswer: h**(41\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -146, -420, -948, -1814, -3102?\nAnswer: -4896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3219946517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 1395.\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18, 72, 126?\n\"Answer: 54*p - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(14\/21 - (-7)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1193, 1264, 1335, 1406?\nAnswer: 1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, x: 5, h: 4, l: 2, u: 1}. Give prob of sequence ll.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -297 less than -8834?\nAnswer: -8537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) 183.5 (c) 0 (d) -3\/2 (e) 5 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 290*r + 79. What is l(0)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 2*k + k + 16, 0 = -4*k + 16. Suppose w = -v - p, 2*p + 7 = -4*v - p. Factor 8*z - 2*z**v + 3 + 4*z**2 + 3 + 0.\nAnswer: 2*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times -71.3738?\nAnswer: 64.23642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.504 - 0.504. Let m = -817\/9 + 91. Put m, 3, i in decreasing order.\nAnswer: i, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18025 and 117523.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004391426?\nAnswer: 2, 3, 5569, 30059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5024258 or 5024257?\nAnswer: 5024258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**2 - 3*v**2 + v**2 + (0*v**2 - v**2 + 2*v**2)*(2 - 5 + 0) - 1893 - 213*v**2 + 1893 - 2*v**2 - 2*v**2 + 2*v**2 to o + p*v**2 + a*v and give p.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1))**(-2\/11)*(p*p**(-1)*p)**(-1\/35)*(p\/((p\/(p*p**(1\/4))*p)\/p*p)*p**2)\/(p\/p**0)**32 assuming p is positive.\nAnswer: p**(-46419\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8480 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u + 1738 + 1454 = 0. Let t = -149 - u. List the prime factors of t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 127*q - 4547 = -28*q + 213 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -1335?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 405 in 6, 4, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, t: 3}. Give prob of sequence toot.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**7*j**2*j)\/((j\/(j**(-1\/2)*j))\/(j**(-1\/7)*j))*((j**(-8)\/j*j)\/j**(2\/3))\/(((j**(-2)*j)\/j)\/(j**(-1\/2)*j*j)) assuming j is positive.\nAnswer: j**(-164\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -i + 2 - 3, 2*i = -2*c + 14. Suppose -6*t = -i*h - 3*t + 67, 71 = 5*h - 4*t. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -8. Suppose -t*j - 3*k = -14, 3*k - k - 9 = -3*j. Let l be (0 - -2)*(-3 + (-63)\/(-14)). Solve g - j = l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**6\/60 - 13*d**5\/30 + 29*d**4\/12 - 5*d**3 - 12*d**2 - 142*d. Let h(f) be the first derivative of g(f). Factor h(b).\nAnswer: -2*(b - 1)**2*(b + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-4))\/(-1) - (-65)\/26?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 1. Let n(k) = -40 + 22 + 8 - 8*k**2. Let j(g) = n(g) - 10*v(g). Find t such that j(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 29*p + 7. Let u be y(-25). Let x be -1*(2 + -1) + 5. Suppose -3*r = 4*w - u - 33, 0 = -3*w - x*r + 105. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2326 - 2326. Solve -196*h + 204*h = b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -13\/27?\nAnswer: -13\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 3 + -6)*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/8))**17 assuming q is positive.\nAnswer: q**(-51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -808*d**5 - 219*d + 3533. What is the first derivative of y(r) wrt r?\nAnswer: -16160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 2577*m + 2573*m + 24 = 0, d - m = 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 924*x + 6483 = 10285 + 15638 + 2736 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94078, 94104, 94130, 94156?\nAnswer: 94182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + 2*t + 1. Let r be u(-3). Let i be ((-1)\/(-2)*r)\/(7 - 6). Suppose 770 + 352 = i*x. What are the prime factors of x?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 4\/50221335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 663 - 669. Let k be (31 + -30)*(4\/6)\/(-2). Let m = -0.06 - -0.36. What is the third smallest value in -4, j, k, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 217 - 212. Suppose 696 + 514 = g*o. Is o a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 489332.5 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 16 = 2*f, 0*d = -4*d + 16. Suppose -f*l + 1818 = -9*l - 5*q, -2*q = -3*l + 5389. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -504, -511, -532, -573, -640, -739, -876?\nAnswer: -1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40021115.\nAnswer: 5, 8004223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*m - 4 + 16 = 0, -v + 2*m = 4. Let t be 1 - (v - (-2 - -1)). Suppose 0 = 5*s - 4*x - 308, t*s + 0*x - 116 = 4*x. Is 22 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*t**3 - 43*t**2 + 8*t + 940739.\nAnswer: 15*t**2 - 86*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5518409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (5 - (10 + -5))) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10383)\/(-79603)*(-9)\/(81\/12)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 27683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*w = -30*w - 50 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + o + 8. Suppose 7*v - 2*v = -4*r + 2, 5*r - 2*v - 19 = 0. Calculate the remainder when f(0) is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 29*d**2 + 2. Let a(p) = 3*p**3 - 28*p**2 - 2. Let g(r) = 3*a(r) + 4*w(r). Let y be g(-32). Solve 3 + y = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 37*x**5\/120 - 5*x**3\/3 - 9*x**2. Let j(o) be the first derivative of i(o). Let z(f) = 2*f**2. Calculate j(z(d)).\nAnswer: 74*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.727 + -0.273. What is the smallest value in -1\/5, u, -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**4)**39 assuming o is positive.\nAnswer: o**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 11:05 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 + 116*o**2 - 231*o - 56. Give n(56).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ab63 (base 15) to base 9\nAnswer: 54733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -5*y - 40, -17 = -4*y + 2*l - 19 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*d + 26*d = -161. Put 0, 2, d in descending order.\nAnswer: d, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/(x*x**(2\/19))*x*x**(-1\/3))\/(x**(3\/5)\/(x\/(((x**(2\/5)*x)\/x)\/x))))\/((x**(-4)*x**1*x)\/(x*(x\/(x\/x**2))\/x*x*x\/(x*x**(-5\/6)))) assuming x is positive.\nAnswer: x**(357\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133945 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.6665 + -6.6845023. Let l = 20 + -20.018. Let v = l - q. What is v rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(2\/20 - 0). Let x(j) = 17*j + 7. Let l be x(-7). Let u = l - -202. Calculate the greatest common divisor of u and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10864 and 13531?\nAnswer: 21000112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5112 and 453122?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(3) - (sqrt(3) + -2))*5 - (4 + sqrt(3))*-3*3)**2.\nAnswer: 1728*sqrt(3) + 9459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**7\/560 + i**6\/180 - 3*i**5\/20 + 11*i**2. Let y(n) be the third derivative of j(n). Differentiate y(z) wrt z.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - b + 4*b + 82, -4*a - b = 60. Let o(x) = 6*x + 73. Give o(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(-3 + sqrt(275))*-4 + 5)**2*6.\nAnswer: -22320*sqrt(11) + 243365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(3\/12*4). Let b(l) = -p + 5*l**2 - l**3 - 3*l**2 + 1 + 3*l. Suppose -1 = -5*x + 9. Give b(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*z - 560, 0 = 3*p - 0*p + 5*z - 821. Let t = -201 + p. What is the greatest common factor of t and 608?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 6:38 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7 + q - 2*q + 5*q - 3*q. Let j(f) = f**2 + f - 2. Let x = -4 - -2. Let s be j(x). Give a(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 3 + 0 - 1)*(-806 - 93*l**3 + 806).\nAnswer: -279*l**4 - 186*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7244 - 311448\/43. Let i = -1379\/20 - -255\/4. Calculate the common denominator of c and i.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1750 + -1708. What is the greatest common factor of 252 and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38953*v**2 - 10*v + 1324.\nAnswer: -77906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15412 (base 10) to base 13.\nAnswer: 7027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*k + 127*k + 1936 = 128 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - h = -156, -3030*p + 3035*p - 264 = -h. Let -1\/6*l**2 - p + 6*l = 0. What is l?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i + 3. Let q be m(2). Let s be -3*-4*q\/6. Let l be (s + 0\/(-3))*-5. What is the highest common divisor of l and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -105.\nAnswer: -105, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -9*x - 5. Solve 4*z - 2*z = -x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 285 and 182343?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2086.6333 * -5\nAnswer: -10433.1665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1585.\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -239*s + 6. Let m be l(4). Suppose 12 = 2*y + y, 3*u - 2*y = -62. Is (-4)\/u + m\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4702980036 to the nearest integer?\nAnswer: 68578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*h = 33, -3*f - h + 59 = -32. Suppose -3*i + f + 341 = 2*b, 4*i - 5*b = 510. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -145 + 382. Let n = 46 + b. List the prime factors of n.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11155, 7, 4 in ascending order.\nAnswer: 4, 7, 11155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 17281.\nAnswer: 345.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 4*x**5\/5 + 12*x**4 - 52*x**3\/3 + 115. Let q(l) = 0. What is l?\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3*i + 69 = 0, -106 = -15*v + 11*v - 17*i + 12*i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -122 + 130. Solve 0 = 5*d + 2 + k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5218*b**2\/9 - 57394*b\/9 + 44\/9.\nAnswer: -2*(b + 11)*(2609*b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/1)\/(1\/(-2)). Let r(x) = -x**2 - 5*x - 2. Let u be r(s). Let f(q) = 2 - 3*q + 7*q + 9*q**2 - 4 - 10*q**2. Calculate f(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 27*a + 18. Let h(f) = -f - 8. Let t(l) = -2*h(l) - m(l). What is the remainder when 40 is divided by t(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 55 - 369. List the prime factors of f.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -27*u**3 - 17*u**2 + 6. Let k(p) = -79*p**3 - 50*p**2 + 16. Let t(q) = 8*d(q) - 3*k(q). What is the third derivative of t(x) wrt x?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32 and -7107.\nAnswer: -7139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(847)*1*4 - (-1 + -1 + sqrt(847) + sqrt(847))))**2.\nAnswer: 1408*sqrt(7) + 54272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5 = b, 2*t - t - 20 = 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3003111 times -5\nAnswer: -15015555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = 2*w + 48, 0 = -270*c + 272*c + 3*w + 58 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(-4*1\/(-140))*2014\/91637\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153.45462 rounded to one decimal place?\nAnswer: 1153.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1998 and 1776?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.7 + 7.7. Let s = -3 - -2. Which is the nearest to s? (a) -5 (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(11) + sqrt(77)\/(sqrt(35)\/sqrt(5)) + -5 + -1*sqrt(11) - (5 + sqrt(891))*-3) + 5)*-2)**2.\nAnswer: 2464*sqrt(11) + 34980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04 - 2.71.\nAnswer: -2.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 121?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -54\/233 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 16*s**2 + 52*s + 9. Let f be w(5). Let u be 1\/f - (-336)\/126. Sort -3, u, 0.91 in increasing order.\nAnswer: -3, 0.91, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 15*x**2 - 8928*x + 1764. Calculate z(595).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.7 in -4\/5, 1\/6, -2\/9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 860 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 - 44. Let v(m) = m - 5*m + p*m + 17. Let l be v(-4). Solve -5*b - l = -2*i - 19, -5*b = 5*i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 82*y. Let k(h) = -2*h**2 - 2. Let b(j) = 1. Let w = 316 - 318. Let t(n) = w*b(n) - k(n). Determine r(t(g)).\nAnswer: 164*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmttmmqtmmqm. What is prob of picking 1 m and 3 t?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 1:01 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1991536681 - -14.\nAnswer: -1991536667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1\/2 (c) -3 (d) 2 (e) 50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 4*g**6\/15 + 7*g**3\/3 - 234*g**2 + 4*g + 361. Differentiate b(p) with respect to p.\nAnswer: 32*p**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80926 times -1650\nAnswer: -133527900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -22*y - 17*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 2. Suppose 0 = -2*k - 4*c - 3 - 5, 2*c + 20 = 3*k. Suppose 0 = -k*u + 2*u + 6. Calculate j(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -293, -649, -1127, -1715, -2401, -3173, -4019?\nAnswer: -4927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 345 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -1. Let q = 3.408 - 3.308. Which is the biggest value? (a) q (b) i (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.191 times -0.48\nAnswer: -0.09168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 + -28 + -47 - (-10 - 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*c - 116 = 0, -25*c - 64 = -2*i - 29*c. Solve 4*v = v - 3*m, 2*v - i = 4*m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 40*f - 1. Let l be v(3). Let m be l*1 - (2 + -2). Suppose -m = -3*z - 41. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 19a8?\nAnswer: -19aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h. Let p(m) = 12*m**2. Give p(x(n)).\nAnswer: 432*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 2 = -2. Suppose 0 = -o + 2, 0 = -c*g - 3*g + 2*o + 2. Let m(u) = 12*u - 9*u - 8*u + u**3 - u**g + 2 - u**2. What is m(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1060, -1621, -2182, -2743, -3304, -3865?\nAnswer: -4426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**3 + x**2 + x + 2. Give f(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 9 - 131. Let k be (-1)\/(-5) - g\/10. Solve k*l = l - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66)\/(sqrt(6)\/sqrt(2)))\/(sqrt(11) - 2*sqrt(99)) + -2)*6*2)**2.\nAnswer: 576*sqrt(2)\/5 + 14688\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and 2.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2910120 and 17945740?\nAnswer: 107674440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -5, 33303?\nAnswer: 33303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -390209.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2735*c**2 - 1998*c**3 - 3833*c**2 - 2365*c**3 - 2800*c**3 wrt c.\nAnswer: -42978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/8 + 53\/72. Which is the closest to -0.1? (a) -108 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/5)\/(213*103\/767865).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 9:12 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**2 + s**2 - 7*s**2 + (-3 + 3 + 1)*(23*s**2 + 22*s**2 - 18*s**2).\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r**2 + r - 1. Let t be v(-2). Let i = 7956 - 7926. Let w = i - t. Solve 3*y + w = -0*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 2*j + 1. Let g(l) = 3*l**2 - 91*l + 9. Let m(q) = -g(q) + 6*w(q). What is the derivative of m(s) wrt s?\nAnswer: 6*s + 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -1442 + 1440 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 772*k**3 + 713*k**2 - 22. Let d(l) = 384*l**3 + 356*l**2 - 12. Let p(v) = -6*b(v) + 11*d(v). Find the third derivative of p(a) wrt a.\nAnswer: -2448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 80*n - 2. Let z be d(-3). Let s = z + 123. Let j = 336 + s. What is the highest common divisor of 31 and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3366 + 3366. Solve f = 4*m - 7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**4 - 17159*q**3\/4 - 3331481*q**2\/4 + 167475*q\/4 + 166617\/4 = 0. What is q?\nAnswer: -561, -297, -1\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**4\/6 + 4*s**3\/9 + s**2\/3 + 17. What is i in y(i) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 7:19 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6.3 (b) -4\/3 (c) -5 (d) 1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/24 and 47\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (63\/28)\/((-2)\/8) - 24780\/(-18585)\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - -14 - 21 - 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.4 + 5.195. Let u = -0.20500089 - v. What is u rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91409 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**4 + 5*f**2 - 4*f. Let m(z) = 2*z**4 + 6*z**2 - 5*z. Suppose 5*k + 13 = -12. Let d(w) = k*h(w) + 4*m(w). Find the third derivative of d(s) wrt s.\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145644*y + 145706*y = 2790 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p - 25. Let x be y(7). Let k = x + 5. Suppose r - k = 2. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 6 + 4*v - 13 - 2*v.\nAnswer: v - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**4*k - 75*h**4 - 2*h**2*k - 52*h**2 + k wrt h?\nAnswer: 24*h*k - 1800*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -617*g - 330 + 274*g + 348*g - 1122.\nAnswer: 5*g - 1452","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33 from -1.42289364064.\nAnswer: -34.42289364064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 11. What is the smallest value in -5, 5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(100)*3)\/((sqrt(135) - -1*sqrt(135))\/sqrt(3)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1172087 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - (-11 - (0 + -4 - (200 + -199)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16, 182, 634, 1516, 2972, 5146, 8182, 12224?\n\"Answer: 24*g**3 - g**2 + g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6 = -0. Let m be 3\/s - -3*1. Suppose 4*g - 40 = 4*h, g - 1 = -m*h - 6. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9679 - 9867. Which is the closest to 1? (a) 0.3 (b) q (c) -1\/6 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 2*j - 2*j + (2 - 6 - 1 + (-3 - 2 + 3)*(-3 - 2 + 3))*(-2*j + 0 + 0) to the form x*j + i and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 4)*50\/(-30). Let o(p) = p**3 + 12*p**2 - 13*p + 4. Let b be o(-13). Let h = b + -8. Sort a, -2, h in increasing order.\nAnswer: h, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -34)\/(6\/(-45)). Let x = -947\/4 + w. Calculate the common denominator of 67\/106 and x.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -36*d + 3. Let j(v) = 22*v + 1. Let z be j(1). Let p = 18 - z. Is w(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10305719 - -10305834.999376. Let x = -16741 - -16857. Let d = b - x. Round d to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - v**2 + 24*v + 40. What is m(0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*x - 37*x + 4542. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17836*f**2*o**3 + 4*f**2*o*q + 17*f**2*q + 3*f*o**3 + 5491*f*o**2*q - 282*f*o**2 - f*o*q wrt f.\nAnswer: -35672*o**3 + 8*o*q + 34*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-4680)*-13*(-10 - -22)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 86*w + 3925. Determine c(-46).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-303)\/621 - (-60)\/135)*(-1)\/(-2)?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.4 (b) 2 (c) 7 (d) -26 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. Suppose -3*z + 111 = -0*z. Suppose 3*t = s*t - z. What is the remainder when t is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148485 is divided by 396?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 1910?\nAnswer: -1913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*o + o**2 + 125*o - 8 - 275*o.\nAnswer: o**2 - 5*o - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 27. What is the remainder when u is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -47, -45, -45, -47, -51, -57?\n\"Answer: -w**2 + 5*w - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.5 - -23. Let u = 6.5 - z. Which is the fourth biggest value? (a) u (b) -1\/6 (c) 9 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19839030 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + d**2 + d - 1. Let s(u) = -3*u**3 - 7*u**2 - 14*u + 2. Let b be -4 - (-3 - (5 - 3)). Let t(c) = b*s(c) + 6*h(c). Factor t(z).\nAnswer: (z - 2)*(z + 1)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 5:13 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -1)*(-3)\/(-5). Let q = 192.8 + -193. What is the third biggest value in -14, q, b?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -26.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (2 - 2 - 4). Suppose r = 5*m + q - 23, 0 = 2*q + q + 6. Suppose -m*o - 20 = -10*o. Solve -6*b + o*b = -5*i + 17, 8 = 2*i - 2*b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**2 + 9*h - 9. Determine n(-7).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -485*p**2 + 188*p**2 + 301*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n - 6*n - 6*n in the form j*n + t and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4088 and 392.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*t = -15*t + 41*t - 988 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.36 or -3571?\nAnswer: -3571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 - 2*l**4 + 0*l**4 + 5*l**4 - 2*l**4 - 2*l**4 + (-13*l**4 - 10*l**4 - 12*l**4)*(-1 + 2 - 3).\nAnswer: 69*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5813 - -5843. What is the remainder when 84 is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l - 9. Suppose -1440*v - 36 = -1422*v. Calculate x(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2191 is divided by 156?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 21 = 5. What is the units digit of (-74)\/u - 1\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1285, -4983, -11147, -19777, -30873, -44435, -60463?\n\"Answer: -1233*l**2 + l - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -24?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 601, 1541, 2907?\nAnswer: 4699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 22303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*l = -12, 2*k - 3*l + 2*l = 16. Solve 5*w - k = 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-8)\/6)\/(4\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-132)\/605 + (-2)\/11. Let p = -736 + 740. What is the nearest to 0.2 in -1\/4, i, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3457 - -51834. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 - 65. Suppose 4*u = 3*p - 120, 3*p + 5*u - 74 = 19. Is p at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (-1 + -3) - (-260 - -209)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 39.\nAnswer: 0, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*v = 138*v + 20825 + 2671 for v.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006434 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -6*r - 588. Suppose 0 = 4*j - 5*p + 2*p - r, -2*p + 98 = 2*j. Let y = j + 17. Is y a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-6)*s*s*s*s)*s\/(s*s\/(s*s**(3\/8))*s))\/((s*s*s*s**6*s)\/s*s\/((s*s**2)\/s)) assuming s is positive.\nAnswer: s**(-53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -25*c - 243. Let o be p(-26). Let r = -301 + o. What is the smallest common multiple of r and 10?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 11 + 5)*(2*x + 1 - 1)*(0*x - x - x).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(30)\/sqrt(6)) + 3 + 5)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2590 divided by -74?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**2 + 50*w - 1188. What is b(12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -991\/2250 + -1\/250. Let w = -3\/56 - 1\/14. Sort w, z, 3, 2 in increasing order.\nAnswer: z, w, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y**(3\/7)*y))\/y)**(2\/77) assuming y is positive.\nAnswer: y**(-6\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.06 (b) -66 (c) 0.0994\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0109755 - -0.0067701.\nAnswer: -0.0042054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450564.232 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28335289709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 18782, -6605, -5 in descending order.\nAnswer: 18782, -5, -6605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 150436908 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79902 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 40260000 to the nearest one million.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t + 0*t)*(-7 + 7 - t) + 11*t**2 - 3*t**2 - t + 2*t.\nAnswer: 7*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 2*j. Suppose 5*t + 2*i = 3*t - 2, 5*t - 1 = -3*i. Let q be h(t). Solve q = -5*f + 9 + 16 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*a + 7*a - 17 = 0, -4*a = 8. Suppose -4*q + 4*i - 7 = l, q - 5*i + 16 = 0. What is the units digit of 7 + 0\/3 + q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**2 + 7*u**2 + 3*u**2)*(2 - 1 - 5)*(3 - 3*u - 3) in the form p*u**3 + h + i*u + z*u**2 and give p.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -37641 greater than or equal to -37641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1382 is divided by 202.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/((-1116)\/(-184) - 6) is divided by 35?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:13 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103220 + -12210302210?\nAnswer: -12211012030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2949 - -2988) + -59 + 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279348?\nAnswer: 2, 3, 23279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1019.0004214 - -1019. What is n rounded to five dps?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6*o - 5*x = 25, o - 5*x - 25 = 0. Let i(l) = -3*l**2 + l + 13. Does 11 divide i(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 259.9013nm?\nAnswer: 0.2599013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -5*h**2\/2 - 2*h + 246. Suppose -3*w + 2*b + 2 = 0, 2*b + 20 = 6*b. Suppose -w*d - 3 = -11. Determine u(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 6. Let m(v) = -v + 5. Let l(d) = -7*m(d) - 6*p(d). Let r be l(2). Suppose -r*w + 476 = -619. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**2\/2 + 302363*r\/2 - 604734 = 0?\nAnswer: -302367, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 34 = 2*w. Suppose 5532 = w*s - 36614. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71134?\nAnswer: 2, 7, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*d = 0, -5*m - 3*d = -4*d. Suppose r = -m*r + 5, 0 = -t + 3*r + 5. Let a(f) = -26*f + 114. What is the remainder when a(3) is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from rrreedddrrrrrerrrr?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*i - 4 + 4 - 619*i + 326*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*(sqrt(208) + 6*sqrt(208)*-1 + sqrt(208)))**2.\nAnswer: -640*sqrt(13) + 83216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1024 (b) 4\/5 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 26 = t, -2*t - 21 = -3*g + 52. Let r = -4 + 8. What is the units digit of t\/(-12) + r\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3*f*z**2 + 5*d**3*f - d**3*z**2 + 83*f*z**2 - f - 12*z wrt z.\nAnswer: 2*d**3*f - 2*d**3 + 166*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.1683\nAnswer: -0.5049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 429*b - 1650. Let h be n(4). What is the highest common factor of h and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1953 = -6612. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 + 168. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 65822 and 344.\nAnswer: 66166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7663*q - 466074 = 32021 for q.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-692)\/14 - 7092\/2758.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15*(0 + -2 + 5) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132522 and 702?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -520281398 divided by -6\nAnswer: 260140699\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3*s**2*v**3 - 624*c**3*s*v**3 + 2*c**3*v**3 - 197*c**2*v**3 - 6*c wrt s?\nAnswer: 4*c**3*s*v**3 - 624*c**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 28*s**2 + 103*s - 11. Let f be a(31). What is the greatest common divisor of f and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f + 26 + 64 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2633575380.1580005 - 2632771302.158. Let t = w + -804075. Let h = t + -3. What is h rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/6)\/((-8)\/(-12)). Let k(x) be the third derivative of -x**3\/6 + x**2. Let b(p) = -p + 10. Let q(i) = o*b(i) - 22*k(i). Differentiate q(a) wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**6\/1140 + s**5\/15 + 22*s**4\/57 - 320*s**3\/57 - s**2 + 425*s. Suppose d(y) = 0. Calculate y.\nAnswer: -4, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 13. Let g = 17.5 - 2. Let a = g - q. Round a to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 30. Let d = 14.14 - q. Let l = d - 0.14. Is -2\/13 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in 8, -0.3, -3\/4, -2321, -1\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8577291 divided by 2\nAnswer: 8577291\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 133793140 to the nearest one hundred thousand.\nAnswer: 133800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/9*1904\/2176*24\/(-70).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.431142 millennia?\nAnswer: 113173.704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 220*c**3 - 3*c**2 + 19*c - 29. Give f(2).\nAnswer: 1757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(-3))\/s*s)\/(s\/(s\/(s\/(s\/(s**(-5)*s))))))\/((s*s**(2\/5))\/s**(-2\/11)))**(-2\/27) assuming s is positive.\nAnswer: s**(-46\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/13066 and -15\/188.\nAnswer: 26132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 5*i + 19, 3*n + 3*i - 13 = 2. Suppose 0 = n*g - 3 - 11. Suppose 0*t + t = g. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -10*b - 9. Suppose 0 = -2*w + o + 5, 4*o + 7 = w - o. Let k(t) = -10*t - 10. Let v(q) = w*k(q) - 3*s(q). What is the first derivative of v(n) wrt n?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -16 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -448 - -462. Let k(x) = x**3 - 2*x**2 + 4*x - 2. Let y be k(2). Suppose -c - 4*g = a, 0*c - 5*c - g + y = 0. Solve 0 = -q - c*q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 5*a**4\/24 - 5*a**3\/3 + 1005*a**2. Let h(u) = 11*u**2 - 4*u**2 - 6*u**2. Determine h(y(o)).\nAnswer: 25*o**2 - 100*o + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 590 and 1921158.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.23, -5, 5, -2, 0.07 in decreasing order.\nAnswer: 7.23, 5, 0.07, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 - -108. What is the remainder when 105 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 25*p**2 - 108*p + 151. What is b(20)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -1, 26, 28, -94, 1 in decreasing order.\nAnswer: 44, 28, 26, 1, -1, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f + 7. Let l(v) = 9*v - 21. Let a(z) = -6*l(z) - 17*w(z). Let x be a(-2). Calculate the highest common divisor of 52 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48553630 rounded to the nearest 10000?\nAnswer: -48550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0148488292 rounded to four dps?\nAnswer: 0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 10 - 8 + 2*p)*(-5*p**3 + 3*p**4 + 5*p**3).\nAnswer: 6*p**5 - 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -1\/8*z**4 + 10*z**2 + 0*z**3 + 0 + 0*z. Let h be (-2)\/(-8) - 11\/(-4). What is s(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*q + 8 + 14 = 0, 0 = 5*q + 20. Let p = 27 - s. Suppose 2*r - 19 = -p. Solve 0*o = -r*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3 = -2*u, -133*u + 129*u = -7*z - 7 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.037? (a) 13909.8 (b) 5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + m**2 + 2*m + 7. Let f be c(3). Let y be (6 + 2 - 2)\/(-1). Let h = f - y. Which is smaller: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/8 (b) 205\/3 (c) 408 (d) 1\/2 (e) 0.018\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -28\/15, 1\/5, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 2:27 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2527333 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: What is prob of picking 2 e and 2 h when four letters picked without replacement from {h: 3, o: 1, u: 2, e: 3, k: 2, t: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40232, 0.4, 2\/7 in ascending order.\nAnswer: 2\/7, 0.4, 40232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**7\/42 - u**6\/10 + u**5\/10 + 64*u + 27. Let b(y) be the first derivative of g(y). Factor b(l).\nAnswer: l**3*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 - 51. Let z = k + -9. What is the second derivative of 44*g - 1521*g**3 + 42*g**z + 1521*g**3 wrt g?\nAnswer: 504*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 5*w**2 + 2. Suppose 0*p = p - 5. Let a be j(p). Suppose 0 = -a*g - n + 38, 0 = 2*g + 3*n - 32 - 10. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*2\/88)\/((-1146)\/(-191)).\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 - 134009 + 267869 - 13*u**2 - 133860 + 6*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/4 and -33\/694?\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g = 16*g. Suppose 5*y - 5 = g, -5*p - 3 = -5*y + 2. List the prime factors of 15 + (p - -2) + -3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7857543 and 267.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 833 and 652589098.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + 5*a**2 - 6*a - 1. Let z be s(-4). Is z >= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 4:04 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -149062*c**4 - 2*c + 21756?\nAnswer: -1788744*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 0*p**3 + 1\/4*p**4 - 2*p**2 + 0 - 2*p. Is z(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4806 and 354.\nAnswer: 283554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69758268?\nAnswer: 2, 3, 2039, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 18485583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6880*n**5*u**2 - n**5 + 2*n*u**2 - 876*n wrt n.\nAnswer: 137600*n**3*u**2 - 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3359*s - 223 = 3348*s + 2*m, -5*m = -4*s + 64 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 11*u**3 + 6*u**2. Let g = -88 + 82. Let w(z) = -45*z**3 - 25*z**2. What is g*w(s) - 25*p(s)?\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -92.01 rounded to 0 dps?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4611)\/58)\/(-2*3\/8). Let x = 109 - m. Solve v + x = 5*v - n, 0 = -2*v + n + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*t + 3 = -r, 0 = 4*r - 5*t - 27. Let s be 3 + (r - 3) + -5. Is ((-1)\/(-3))\/(s\/(-90)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12554243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -895 - 25*r**2 + 875 - 10*r - 15*r - r**3. Let t be n(-24). What is the nearest to t in 6, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62\/3 - -676\/33. Let b = 0.05 + 3.95. Suppose 2*h = -3 + 5. Put t, h, b in ascending order.\nAnswer: t, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 5*d + 680 = 669, c = 2*d + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353 = -2*x + 5*o, -4*x - 2*o + 746 = -4*o. What is the remainder when x is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/12)\/((-2)\/(-15)). Suppose 0 = -3*j - 2*j - 5*f + z, -j + 2 = -f. Suppose j*r + 1 = 7. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssg when three letters picked without replacement from ssg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.5 - 4.2. Let p = 18 - h. Put -4, p, 0.3 in descending order.\nAnswer: 0.3, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 20*h - 4. Let j(l) = -l**2 - 19*l + 3. Give -5*j(s) - 4*q(s).\nAnswer: 5*s**2 + 15*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 66 + 26. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*g + 5*c - 3*c = -658, -12*g - 3*g - 3*c = -19*g - 7*c - 8 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -329 + 237.9. Let m = a - -91. What is the nearest to 0.2 in 4, m, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjfl when four letters picked without replacement from tjtljfk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607687 is divided by 101277?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.687 + 0.213. Let x = o + -17. What is the closest to x in 1, 0.2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/122 and -55\/1438?\nAnswer: 87718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - -1 - (-1 + -4). Let h(b) = 0*b**2 + b - 4*b**3 - x + b**3 + 5*b**2 + 4*b**3. Let g be h(-5). What is g rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4505 times -0.2?\nAnswer: -0.0901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, x: 2, s: 5, h: 1, m: 1}. Give prob of sequence xh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 - -119. What is the second derivative of 14*s + 17*s - 17*s + 9*s - k*s**2 wrt s?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 1349\nAnswer: -11\/1349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1\/3836637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*t = -2*w + 41, 2*t = -8. Suppose -5*a = p - 5*p + 69, -p + 3*a + 12 = 0. Calculate the remainder when w is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12435151510 + -3?\nAnswer: 12435151504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/32)\/(2\/20). Let o = v - -7\/8. Sort o, 1, -1\/4.\nAnswer: -1\/4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/63*(-12)\/8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71001 divided by -23667?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(3500) - sqrt(3500))\/(sqrt(5) - (sqrt(5) - (sqrt(5) + sqrt(80)*3))).\nAnswer: 20*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.49.\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 842 (base 11) to base 12\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 b when three letters picked without replacement from gbbgaccyggcx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7784)\/(-49) - (-1)\/7. Suppose -d = -2*t + 93. Suppose 2*c + t = r - c, 2*r - 252 = 3*c. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(2\/19)*j))\/(j*j**(5\/4))*(j\/(j**(-6)*j))\/(j*j\/j**7*j*j))**(-24\/11) assuming j is positive.\nAnswer: j**(-234\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01322544 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2195 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 18 = -i, 0 = -i + 3*q - q + 18. Solve 12*j - i = 18*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 899, 887, 875, 863?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44\/5 + -553\/60. Suppose z + 3*i = -13 + 3, -2*i - 7 = z. Do z and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 5*q**2 - 7617340*q + 2901193433780 = 0.\nAnswer: 761734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - 1 - (4 + 1 - 6). Let z(v) = -129*v - 8. Is z(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 + 44*x**2 + 35*x - 28. Suppose -273 = 2*d + 11*d. Is n(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 5. Let p = 38 - j. Calculate the smallest common multiple of (-18)\/(-27)*(-21)\/(-2) - -5 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1, 4, 3, 969, 5, -5 in descending order.\nAnswer: 969, 10, 5, 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - k**3 + 2 + 8 + 4 to the form p + n*k**2 + x*k**3 + j*k and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1200321 (base 4) to base 15\nAnswer: 1c86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y - 36. Let a(l) = 1. Let u(c) = -36*a(c) - j(c). Let b(q) = -22*q. Determine b(u(n)).\nAnswer: -132*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 43810000 rounded to the nearest one hundred thousand?\nAnswer: 43800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3)*-5 + sqrt(42)\/(sqrt(6)*-3))**2.\nAnswer: 1792\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 - 2*a**2 + 17 - 18*a + 13. Let g(h) = 3*h**2 - 19*h + 2. Let o be g(7). Let b be q(o). Is -1 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -t**2 - 1686*t - 7936 - 73*t + 11496 + 500*t - 2084*t wrt t.\nAnswer: -2*t - 3343","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11072)\/(-80))\/(-173)*6*10\/(-376).\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 17 + 3 = 0. What is the units digit of ((-469)\/15 + 4\/z)*-6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6*x + 2*x - 14*x + 7*x.\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5849*v - 1962*v - 1443*v + 794*v + 5759*v + 1558*v + (0 - 1 + 0)*(2*v + 2*v - 3*v) + 3*v - 5*v + 4*v as i*v + x and give i.\nAnswer: 10556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -213 - -183. Let y be ((-72)\/u)\/(-4*(-2)\/100). What is the greatest common divisor of 12 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 33*c - 175 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4636349620 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + h = -8, 2*h - 7*h = -c - 16. Let o = 7.81 - 8. Let x = -0.29 - o. Put -2\/7, x, c in ascending order.\nAnswer: -2\/7, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 46*z**3 - 10*z**2 - 54*z + 10. Let m(i) = 15*i**3 - 3*i**2 - 18*i + 3. Let x(c) = -3*d(c) + 10*m(c). Find the second derivative of x(j) wrt j.\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/(-18) - (-62)\/4. Let s = n - 11. Solve s*m - 6*m = 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291 + 2538*r + 2527*r + 2531*r + 2533*r - 10130*r.\nAnswer: -r + 291","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -1\/144 (c) 29.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 103*m + 102*m - 4 = 0, 5*m + 14 = 2*v. Let z(p) be the second derivative of 10*p + 0*p**v + 0*p**3 + 1\/2*p**4 + 0. Let d(f) = -4*f. Give z(d(k)).\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105 + 108. Suppose -1 = 3*y + 5*h, o*y - 2*h = 14 - 1. Solve 0*l + y*l - 6 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -11\/24*u**4 + 2*u**2 + 0*u**3 + 0*u + 0. Let r(o) = -o**2. Calculate y(r(w)).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**3 + 65*m. Let r(v) = -194*v**2. Calculate r(o(y)).\nAnswer: -6984*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 19988 divided by -6\nAnswer: -9994\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*b = -3, -y + 17 = -5*b - 4. Let g = y - 7. Which is bigger: g or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-4)*(-13)\/(273\/(-36))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**2. Let u(r) = -1228*r - 60378 + 60378 - 7*r. What is u(f(k))?\nAnswer: 4940*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than 5486510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((0 + 1)*1)\/(1\/(-17)). Which is bigger: -22 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -19.8. What is d rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11120 and 5282.\nAnswer: 211280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q + 31*q + 25 = -b, -5*b + 5 = q. Suppose 3*r - 28 = -4*m + 10, -4*r = -m - 38. Solve b = -r*d + 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 1.80814?\nAnswer: 1.084884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 3*k + 3. Let z = -61\/2 - -30. Which is the nearest to k? (a) -1\/4 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 17\/8, -2\/3, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgkwugwkw. What is prob of sequence wwk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5708342 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 3:55 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (36\/(-16) - -2)\/(1\/(-212)).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 5*k + 2. Let n be v(7). Let y be (-4)\/(-10) - n\/(-30). Let q = 2 + -1.7. Which is bigger: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = -5*g - 2*c, 4*g - 5*c + 5 = 0. Suppose -u = 4*w - 24, g*u - 3*u = w - 17. Solve l = 2*l + j + 3, 4*j + 14 = -w*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/12 + 583\/66. Suppose c = -b + 4*b. Solve 0 = 5*i - 5*g + 10 + 10, -b*g = -4*i - 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w**2 + 57*w - 57. Determine d(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (133 - 27) + (-1 - -1). Let s = g + -82. Suppose 16*y + s = 4*y. Let t(m) = m**3 - 3*m - 2. Give t(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*w - 37. Let r(g) = g**2 - 8*g + 36. Let k be -1*5*180\/(-50). Let p be r(k). What is the highest common factor of w and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -165b - -17?\nAnswer: -1644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 8. Let w(q) = -8*q + 0 + q**2 + 5 + a. What is the remainder when w(8) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/12 and 5\/1104.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -15, 2 in descending order.\nAnswer: 2, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p - 72*p - 55*p + 2310 = 0 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43222079*l**2 + 40082480 wrt l.\nAnswer: 86444158*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -15*s - 18. Let q be n(-1). Suppose 2*m = -5*a + 11 + 9, 5*m + 8 = 2*a. Let k be (3 - m)*(-4)\/(-4). Sort 4, q, k in descending order.\nAnswer: 4, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/242 + -842\/363. Find the common denominator of u and -107\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 - 4*o - 1. Let i(b) be the third derivative of 1\/24*b**4 + 0*b + 0*b**3 + b**2 + 1\/60*b**5 + 0. Determine 7*i(p) + 2*l(p).\nAnswer: p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**24*(i**(-1\/4))**46 assuming i is positive.\nAnswer: i**(73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 29*t + 13. Let o(f) = -f**2 - 14*f + 7. Let j(p) = -9*o(p) + 4*u(p). Is j(-12) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -22\/3, 5, 56, -4, -0.3 in descending order.\nAnswer: 56, 5, 2\/3, -0.3, -4, -22\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4548478 millennia to centuries.\nAnswer: 4.548478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3042)\/2535)\/(((-12)\/10)\/2). Let r be (-6)\/(-3) + -2 + 2. Suppose 0 = -4*c + r*c + 4. Solve t*w - 4 = c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 8*x**2 - 23*x - 31. Let l be u(-10). Which is greater: l or -2\/383?\nAnswer: -2\/383","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4 + 92\/8. Suppose -2*v = -0*u + 2*u - 98, -4*v = -4*u - 156. Calculate the highest common factor of v and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(4\/3))\/n**(1\/3))\/(n**(-2\/3))**19)\/(n**(1\/9)*n\/n**8*n**(-3)\/(n\/(n**3\/n))) assuming n is positive.\nAnswer: n**(212\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + r**3 - 2*r**3 + 3 - 3 + 1. Let n be -2 - (-4)\/(8\/6). Let a(z) be the first derivative of -2*z**4 + 3*z**2 + 8*z - 48. What is n*a(j) - 6*s(j)?\nAnswer: -2*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234502 to the power of 1\/2, to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -2*l**2 + 9*l - 14. What is the units digit of n(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 14640*t + 0*t**2 + 14640*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 362703, 725408, 1088105, 1450788, 1813451, 2176088?\nAnswer: 2538693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726271 is divided by 24207?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/39 + (-19338)\/39 + -1. Let m = x + 4471\/9. Which is the nearest to 2\/7? (a) 2 (b) m (c) 0.4 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -749, -644, -457, -182, 187, 656, 1231?\n\"Answer: s**3 + 35*s**2 - 7*s - 778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33051 and 184.\nAnswer: 264408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in 1\/8, 1, -195, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - 18. Suppose -u - 27 = -4*u. Calculate the remainder when t is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 4*m + 1. Let b be c(-2). Let z(k) = -2*k**3 - 108*k**2 + 110*k + 3. Let x be z(-55). Solve -4*y - 4*o = -x*o + b, -4*y - 14 = -2*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1142555382*t**2 + 1043525355*t?\nAnswer: 2285110764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 2*u - 3*u)*(u**2 + u**2 - u**2) + 11191*u**2 - 2*u**3 - 22353*u**2 + 2 + 11175*u**2.\nAnswer: -4*u**3 + 13*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - g + 1\/8*g**3 - 7\/8*g**2.\nAnswer: g*(g - 8)*(g + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45702 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (1 - (4 - 4) - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-1)*430\/(-51084)*18\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 m when three letters picked without replacement from {j: 1, r: 6, m: 3, k: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {q: 2, u: 3, v: 1, l: 4}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -79, -2, -3 in descending order.\nAnswer: -2, -3, -4, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -7. Suppose s = -d*s + 64. What are the prime factors of -2 + s + (1 - 3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/32484 and 173\/30?\nAnswer: 162420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 10:52 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 8:24 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 73 - 22 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bet when three letters picked without replacement from {y: 3, b: 5, c: 3, e: 4, t: 3}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -11*i + 1. Suppose 4*k + 5*m - m = 4, -5*k + 5*m = -5. Give c(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -23758604.\nAnswer: -23758600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 6:58 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -17*f**2 + 1190*f + 2. Let i be d(70). Calculate the greatest common divisor of 446 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 47. Let o = 10 - 5. Which is the biggest value? (a) -5 (b) o (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 58\/319 - ((-15)\/99 + 0). Let t(w) be the second derivative of 5*w + 1\/21*w**7 + 0*w**2 - z*w**3 - 1\/3*w**4 + 0*w**5 + 0 + 2\/15*w**6. Factor t(i).\nAnswer: 2*i*(i - 1)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.16 + -0.84. Let v = -1 + -1. What is the third biggest value in w, v, -3\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -2 + 8*k**2 - 8*k + 1\/6*k**3 + 1\/12*k**4. Determine c(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.2 times -0.03\nAnswer: -0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vttv when four letters picked without replacement from {v: 3, t: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l - 14 = -20*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/187 and 7\/51.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-9)*(-21)\/2. Suppose 3*x = 6*x - 210. What is the greatest common divisor of x and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4*t = 10. Suppose t = -3*u + 14. Is 4 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 238*d**6\/5 - 1669*d**2\/2 - 15*d + 26. Find the first derivative of p(q) wrt q.\nAnswer: 5712*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a decade in years?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*l + 4. Let q be (0 - l)\/(1\/(-72)). Calculate the greatest common divisor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 0 - -22*2. What is the units digit of -2 - -2*i\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3867*i + 20 = -3873*i + 7742*i. Let t = -5.04 + 0.04. Which is smaller: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17816*k - 891252 - 1353564 = 0 for k.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 9. Let j be v(-6). What is the remainder when 6 is divided by 4\/(((-28)\/j)\/7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhhh when four letters picked without replacement from adaahaxahdadhadd.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -6*d**5 - 992*d**4\/5 - 5904*d**3\/5 + 11136*d**2\/5 + 1952*d = 0.\nAnswer: -122\/5, -10, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/246976 and -85\/87168.\nAnswer: 1481856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from {v: 4, r: 2, f: 2, d: 7, j: 5}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 18*w - 22*w + 4195 = 0, -p + 1381 = -3*w. List the prime factors of p\/9 - 28\/(-126).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**2 + 881*b + 7894. Calculate z(-9).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 708 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 4, -4*y = 5*o - 2*y - 142. Suppose 9*b - 3*j + 119 = 5*b, 5*b + 140 = 2*j. Let a = b + o. Solve -4*i + 5 = 3*s, -5 = -2*s + a*i + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112659 and 6176364?\nAnswer: 104998188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16296704 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: What is the hundreds digit of 88321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*j - 2*y, 3*j = -166*y + 164*y - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 280738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**2 - 5 + 0*z - 3*z + 22 + 11.\nAnswer: -11*z**2 - 3*z + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*g - 2*g = 30, -2*h + 2*g = -6. Let q be 0*1\/2 - (-4 - h). Suppose -6 = -4*l + q. Solve -3*c - 4 = l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751623 is divided by 107374.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.67724g to kilograms.\nAnswer: 0.06067724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*n = n + 78, -4*n = 5*k - 166. What is the highest common factor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -10783*d**2 + 24477*d + 65. Let m(z) = 1797*z**2 - 4079*z - 10. Let r(i) = 2*a(i) + 13*m(i). What is the second derivative of r(c) wrt c?\nAnswer: 3590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7324311*q**3 + 7324314*q**3 + 1 - 7.\nAnswer: 3*q**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 25 = 17. Let g(i) = -i. Let d(m) = 4*m**2 - m + 1. Let a(f) = 2*d(f) + 4*g(f). Let w be a(2). Calculate the greatest common divisor of w and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134 (base 8) to base 16\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 4. Let d(m) = m**3 + 9*m**2 - 10*m + 5. Let s be d(r). Suppose 0 = -s*q + 3*y - 9, -4*y + 15 = y. Solve -n + q*n + 2 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b. Let n(t) = -238*t**2 + 3*t - 11. Let g(p) = -79*p**2 + p - 4. Let l = 366 - 362. Let y(v) = l*n(v) - 11*g(v). What is y(m(h))?\nAnswer: -747*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*h, 0 = -2*x - 3*x + 3*h + 61. Calculate the remainder when 189 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 4:21 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*m + 19*m - 18*m as l*m + n and give l.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 6:01 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 120192467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-329)\/35 - -10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 2. Solve 21 = -5*w - u, -w + 2*u - 4*u - n = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 137 = 3534. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-33 - (-17 - (-11 + 6)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkkfufufffufwffufu. Give prob of picking 1 f, 1 u, and 1 k.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 2 - 2*q + 0)*((-4*q**2 + 2*q**2 + 3*q**2)*(-2*q**2 + 4*q**2 + 0*q**2) - 14*q**4 + 15*q**4 - 13*q**4).\nAnswer: -20*q**5 - 20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*r + 1, r - 5*r = 2*v + 148 - 156 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*u + d, u + 3*d = 4*d. Let s be (-6)\/((2 - u) + -6). Suppose s*r - 4*r - 16 = 4*i, -i + 15 = 5*r. Solve q + o + 16 = 5*o, 12 = r*q + 3*o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 12. Let u be i(8). Let r = -2 + 9. Let k = r + -4. Which is smaller: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9152, -14802, -20452?\n\"Answer: -5650*j - 3502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a century in months?\nAnswer: 14160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 121*h**2 + h. Let x be n(-1). Let w = x + -115. Solve 2*a - 3 = w*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 6. Suppose -k*w + 333 = -227. Does 20 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, w: 3, o: 3, m: 1}. Give prob of sequence xwx.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29 - 4bd438?\nAnswer: -4bd40e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 3*v**2 - 6*v - 5. Let y be d(-4). Let l = y + 5. Let -7*j**2 - 17*j**2 - l*j - 2 - 6*j**4 - 20*j**3 - 4*j = 0. Calculate j.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 29 = 3*n, -268*n - 2*s - 226 = -240*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -234 (base 13) to base 15\nAnswer: -1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4 = 4*x, x + 4*g - 6*g = 1. Let t(c) = c**2 + c. Let o(i) = 4*i**2 + 3*i. Give x*o(y) - 6*t(y).\nAnswer: -2*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.00130544\nAnswer: -0.000261088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sull when four letters picked without replacement from uhsulssssslhhhuhsu.\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41328674 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 n(w) = 9*w - w**3 - 5*w**2 - w + 9 - 2. Calculate n(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1. Let c(p) = p + 9. Let u(x) = -c(x) + 3*y(x). Let k = 29 + -23. Let v be k\/(-8) + 33\/44. Give u(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -39*f + 246 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 455 - 413 - (-9 + -8 + 43)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 891306369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47511766627 + 117747270949298141\/2478276. Let s = j - -67926308777\/3424977432. Let z = 3\/5528 - s. Find the common denominator of 19\/4 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_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: Expand (4 - 1 - 2)*(r + 729891810*r**5 - r - 729862104*r**5).\nAnswer: 29706*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 585 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-a - 2*a**2 + a)*(2 + 2*a - 2) - 4*a**3 + 2*a**3 + 3*a**3 + 4*a - 4*a + 4*a**3)*(3*a + 21 - 21) to z*a**2 + l*a + i + b*a**4 + n*a**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 9:16 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/6)\/((42\/(-60))\/7). Let h(y) = 20*y**2 - y. Let c be h(1). Suppose c = 4*n - s. Solve p = n*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**5\/60 - p**4\/8 + p**2. Let u(t) = t + 5. Let x be u(-1). Calculate k(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1771 divided by -47.\nAnswer: -1771\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - c**2 + c**2)*(3*c - 5*c + c - 1).\nAnswer: c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 925*a**5\/6 - a**2. Let y be r(2). What is y rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 14) to base 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153 - 78. Let v = 77 - c. Suppose -5*q - 2*y + 45 = 3*y, 3*y = 5*q - 21. What is the greatest common factor of q and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**3 - 2*t**2 - 7. Suppose 6 = -w + x, 13 = -3*w + 2*x - 3. Let c be h(w). What is the highest common divisor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 3*m**4 - 2*m)*(-5 - 7 + 8)*(192 - 468 + 161 + 180).\nAnswer: -780*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 676184\/68 - (-54)\/459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*y = 282*y - 649 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**3\/4 - 2130*s**2 - 17292933*s\/4 + 1841394553\/2 = 0?\nAnswer: -4357, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273351 and 101265.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1940, -3684, -5428, -7172, -8916, -10660?\nAnswer: -12404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.78431 centuries in years?\nAnswer: 5978.431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**4\/4 + 3*j**3 + 4*j**2 + 10*j - 2. Let r be b(10). List the prime factors of (-3 + 13)*(-6)\/r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 12:08 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9248\/16973 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7078.\nAnswer: 2, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 75760580 divided by 1778\nAnswer: 42610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 9:50 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.3 - 16. What is the nearest to 1 in 3, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 12 = 2*s. Let d(f) = -31*f - 2. Let x(p) = 47*p + 3. Let t(l) = -7*d(l) - 5*x(l). Is t(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 13*h + 22559. Calculate a(-157).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 434 times 4\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-1 + sqrt(2736))*-1 + -4)*1 + 1)**2.\nAnswer: 336*sqrt(19) + 10993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204794 is divided by 4110.\nAnswer: 3404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 198 + -193. Suppose n*c + 15 = 5*a, -9 = -8*a + 3*a + 3*c. Solve -2*w = -3*x - 3 + 10, -2*w + 4*x - 6 = a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 + 5*i**3 + i**3)*(2*i - 2*i - 2*i)*(-1 + 6 - 3) + (0*i - 2*i + 3*i)*(-4*i**2 + 4*i**2 - 3*i**3) - 6*i**4 + 0*i**4 - 4*i**4.\nAnswer: -37*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 16 = -3*o - 2*w, -4*o + 3*w + 36 = 0. Suppose -4*j = r - 12, 4*r - 1 + 7 = 2*j. Let k(x) = r*x - 4*x + 1 + 3*x + 2*x. What is k(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000060281424 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-1)\/(-2))\/(((-7564)\/16)\/61)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.18 - -2.78. Let j = v - -24. What is the third smallest value in 0, j, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 169*q - 3*q**3 + 169*q.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x. Let u(r) be the second derivative of 2*r**6\/45 + 7*r**3\/2 + r**2 + 40*r. Let v(m) be the second derivative of u(m). What is v(g(a))?\nAnswer: 256*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -168 + 174. Let z(h) = -72*h**2 - 27*h. Let d(i) = -215*i**2 - 79*i. Let l(g) = f*d(g) - 17*z(g). Find the second derivative of l(k) wrt k.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1 - -1) + (-12 + 17 - 12)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 546*f*i**4 + 2*f*i + 4*f - 41*i wrt i.\nAnswer: 6552*f*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/12 - 22\/(-24)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 - 3*i - 3. Let p be 1\/1 + 1 + 0. Let w(j) = -j**2 - 2*j - 2. Let g(z) = p*c(z) - 3*w(z). Let x(m) = 2*m**2 - 3*m**2 - m**2. Give g(x(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2. Let c(y) be the second derivative of 0*y**3 + 0*y**2 + 2*y + 0 + 1\/12*y**4. Give w(c(t)).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/2 + -2 - 1. Let o = 12 + -6. Let d(p) = -10*p - 7. Let s(n) = -21*n - 15. Let y(z) = o*s(z) - 13*d(z). What is y(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaqlllqlljl. Give prob of picking 1 j, 1 a, and 2 q.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3230459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*d - 11*d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -1. Suppose 2*s - 10 = 2*p, -4*s - 5*p + 2 = -0*s. Solve -2*t + l = -s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 944000 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0.4. Let m = 8414 - 8414.4. What is the second biggest value in w, -1\/6, m, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -190 in decreasing order.\nAnswer: 5, 3, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 1. Let t(y) = 1 - 5*y - y - 6 + 2*y**3. Give t(k) + 5*v(k).\nAnswer: 2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.073 - 0.933. Let g = 0.987 + s. Round g to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002586926 rounded to four dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 126647?\nAnswer: 2\/126647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 - -555227)\/(56\/1680). What is q rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 159\/6 - (2 + 9\/(-6)). Suppose -t*l = -29*l + 33. What is the remainder when l is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/153 and -117\/138890.\nAnswer: 1250010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 173867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -145. Let q = 112 - k. Suppose f = -2, -5*f + 0*f - 30 = -4*b. Solve 5*v - d - 27 = q, -v - 28 = -b*v + 4*d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -578*c - 662*c + 1240*c - 4*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + -8845953?\nAnswer: -8845963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110)*2)\/sqrt(5))\/((sqrt(12)\/sqrt(3))\/sqrt(2)))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 25 = 2*r - 3*h, -2*h = -3*r + 21 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 9*r**2 - 2*r + 1. Let u be w(1). Let n(j) = u - 11*j + j**3 + 3 + 8*j**2 + 2*j. List the prime factors of n(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 4*z + 68 = 0. Let m = z - -38. Suppose 0 = -m*w - 3*b + 39, 14 = -w + 4*b - 0. Solve 0 = 2*y - w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 + 0*a**3 + a**3 - 4*a**3 - 7*a**3 - 2*a**3 - 3*a**3 + a**3 + a**3 + (4*a - a**2 - 4*a)*(-2 + 2 + a).\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -629, -3841, -12555, -29519, -57481, -99189, -157391?\nAnswer: -234835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20101 - -20594. What is the greatest common divisor of 68 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + u - 32. Calculate the lowest common multiple of 35 and c(8).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1. Let b(p) be the first derivative of -p**3\/6 + 5*p**2\/2 + 9*p - 30. Let m(s) be the first derivative of b(s). Give 2*m(l) - 9*u(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199323528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - 46*k + 46*k.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = 2*t + 9, -4*h = 3*t + 29. Let x = h - -15. Calculate the lowest common multiple of x and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*w - 19, 6*w + 19 = 3*w - 4*l. Is 11 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**4\/4 - k**3\/3 + 3*k**2\/2 + k + 3. Let y be w(-3). Let b be (-10)\/15 - y\/3. Let z(g) = -g**2 - 5*g - 6. What is z(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4*c - 5 = 3, 5*m - 4*c = -48 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 29*b**2 + 13*b + 4. Let v(y) = 162*y - 31*y**2 + 1 - 38*y**2 + 76*y**2 - 159*y. Determine 6*p(d) - 26*v(d).\nAnswer: -8*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - i - 35. Give x(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5788, 6\/15607, -3 in ascending order.\nAnswer: -5788, -3, 6\/15607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 6, 2, 1.\nAnswer: 1, 2, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3807*c**2 + 6907*c**2 + 1490*c**2 to s*c**2 + g*c + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 5*r = -28, -4*g + 7482*r - 106 = 7501*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 1024?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 11*z**4\/12 - 65*z**3\/3 + z**2 + 6*z. Does 56 divide a(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**3 - 6*t**3 + t**3 + 18 in the form s + k*t**3 + j*t**2 + w*t and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 3, -0.3, -1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 341*q - 1369. Let z be p(-4). Which is the third biggest value? (a) 0.2 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (64524\/(-190))\/(3\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 + 13735*p**2 - 3574600*p + 222590220.\nAnswer: 5*(p - 122)**2*(p + 2991)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, 224, 173, 78, -73, -292, -591, -982?\nAnswer: -1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/702032 and -63\/3546472?\nAnswer: 205695376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*m = 3*h - 65, 27 = h + m. Suppose -5*l = 5 - h, -38 = -2*j - l. Are j and 16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -537 - 156. Let g = -238 - r. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 8 + 4)*(2 - 2 + 2*a)*(2*a**2 - 13*a**2 - 11*a**2) as u + v*a**2 + o*a + g*a**3 and give g.\nAnswer: -1276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36439 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**4\/4 - 13*h**3\/6 - 30*h**2. Differentiate g(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 18 + 36 = 3*h, 23 = h - 5*t + 61 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(50\/(-15)) - (-15)\/25.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 10*d**2 - 6 + 10 to the form c*d**2 + k*d + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*((2*sqrt(140))\/sqrt(4))\/sqrt(7) + (1*sqrt(640))\/(sqrt(128)*-1))**2.\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7392228?\nAnswer: 2, 3, 53, 59, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 528\/35 - 21447\/1540. Calculate the common denominator of g and 18\/10 + 27993\/(-21285).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480495 is divided by 501?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 + 0*n**2 - 2*n**2 + (-n**2 + 4*n**2 - n**2)*(-1 + 1 + 1) + 3*n**2 + 195*n - 195*n + 0*n**2 + 0*n**2 + n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 808164*b**2*q**2 - 6*b**2 - 4*b*q + 2*b - 63899*q**2 + 2 wrt b?\nAnswer: 1616328*q**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 23176?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0634, 2\/5, -1\/182?\nAnswer: -0.0634","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 155.923 - 156. Let i = t - 1.483. What is i rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777611445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 1 - (0 - (-14 - -20))) + -18.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.557 (b) 2 (c) 3 (d) 13 (e) 1 (f) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yckyyckykuuk. Give prob of sequence yyc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 3:01 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, -43, -102, -185?\n\"Answer: -12*q**2 + q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*h + 70*h + 407*h - 47*h + 139*h - 297 with respect to h.\nAnswer: 514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 5, 12, -2\/5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from jjsaxsjjb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -12*q**2 - 11*q. Let c(p) = -p**2 + 6*p - 6. Let b be c(4). Let h(w) = -2*w**2 + 4*w**2 - 3*w**b - w. Give -22*h(o) + 2*s(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*4*6*(-6*(3 + sqrt(1700)) - (0 + (-3 + sqrt(1700) + sqrt(1700))**2 - sqrt(1700))).\nAnswer: -655396 + 6720*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/7))**28)**(-3\/11)\/(((f**(-2\/9)\/f)\/f**(-5))\/(f\/(f*f*(f**(-1)\/f)\/f))**(2\/11)) assuming f is positive.\nAnswer: f**(-554\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + h**2 + h + 2. Let i(d) = 19*d**3 - 3*d**2 + 7*d - 5. Determine i(s) + 3*j(s).\nAnswer: 16*s**3 + 10*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 4*p = -4, -17*z - p + 17 = -14*z + 3*p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -133.999983952 + 134. What is y rounded to seven decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**11*h\/(h*h**8))\/(h**6\/(h*h**2*h)) assuming h is positive.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40980 and 3780?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*h + 14, 3*h - f + 19 = 4*f. Suppose 1 = -h*c + 79. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -359 + 320. Let p(q) = -q**2 - 35*q + 158. Let a be p(l). Solve a*f = 4, 5*h + 5*f = 25 - 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*v + 20 = 3*m, -2*v = 5*m - 15. Suppose m*s - s = 40. Solve -4*k - 4*b - 45 = b, 0 = 4*k - 2*b + s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*q = -582*q + 1168*q + 3*c - 17, -47 = 3*q - 5*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 2*d - 8. Let u(v) = v + 8. Let i be u(-5). Suppose -4*j = q + 18, 0*j - 4*j - i*q - 22 = 0. Let p be x(j). Solve 3*z + z = p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2 - 2*a + 4*a - 4 + 4*a**2 - a**3. Let x be v(4). Let -2*z - 14 + 31*z + 4*z**4 + 3*z - 24*z**2 + x = 0. Calculate z.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -25*f. Let g(p) = -399*p. Give 2*g(y) - 33*w(y).\nAnswer: 27*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 690 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -2694\nAnswer: 2\/1347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/87*(-12)\/(-28). Let c = q + -629\/2030. What is the common denominator of 63\/10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 556 and 156653?\nAnswer: 626612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218353, 214850, 211347, 207844, 204341?\nAnswer: 200838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315761 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.2, -3, 5, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 17\/1 + (2 - (1 - 9))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (816\/20)\/4 - (-1)\/(-5). Suppose 4*r - x*r = -30. Suppose -6 = r*p - 3*p, -324 = -b - 5*p. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 + 79*b + 44. Let l be x(40). Suppose 0 = l*f - 866 - 178. List the prime factors of f.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.86705 - 1.36705. Let j = -1 + 0.97. Put j, 2, x in descending order.\nAnswer: 2, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89199378967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from vjivbivvbjjibvvvmb.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 1523 - 1563 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 740 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {p: 2, t: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k, 2*q + 4*k = 0. Suppose -5*p - 2*m - m - 2 = q, 3 = -p + 2*m. Is -3\/8 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5 = 0, 8*k - 42*k + 20*k + 8*k + 11*k = -3*a + 45 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 15. Suppose 3*r - b = -9 - 14, 4*r + 4*b = -36. Let z be t(r). Is -2 - (z - 4) - -90 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 52*i - 273. Determine y(-42).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1630 is divided by 533.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 q when three letters picked without replacement from ezeqezzezeq.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 4. Suppose 3*m = l*m. Suppose 0 = -m*s - 5*s + 30. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1365 by 21.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.66 and 0.033?\nAnswer: 0.38478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.6094867 days?\nAnswer: 52659650.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 517 + -450. What is the remainder when g is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4395.426 millilitres?\nAnswer: 4.395426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 - 5*f**2 + 11*f**2 to the form n + w*f + v*f**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3873 less than -0.1?\nAnswer: 0.2873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 55263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-175)\/(-42)))\/(4\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 11*m**5 - 9 + 3*m**5 - 3*m**3 + 3*m**3 + 2*m**5 + 0*m**5 + m**5 - 2*m**5 + (-4*m**2 + 4*m**2 - 2*m**2)*(2*m**3 - 3*m**3 - m**3).\nAnswer: -3*m**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from zzzeezzzeze.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/o**(-12)*o*o*o**7 assuming o is positive.\nAnswer: o**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 227, 133469, 10 in descending order.\nAnswer: 133469, 227, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21598347899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121 - -1023. Let f = -2707\/3 + g. Which is the third biggest value? (a) f (b) 0 (c) -0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z - z + 2*z)*(3 - 3 + 2*z) + (-4 + 2 + 5)*(67*z**2 + 64*z**2 - 141*z**2) to j + p*z + q*z**2 and give q.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 - 2*w**3 + 0*w**3 - 10*w**3 + 58 - 58 + (-4*w**3 - w**3 + 3*w**3)*(3 + 0 - 1) to c*w**2 + n*w**3 + v + t*w and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 - 17*w**2 + 32*w - 132. Let p be b(-11). Suppose k - 113 = -3*t, 0 = 2*k - 0*t - 5*t - 259. Which is bigger: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 265763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 29. Let t = -19 - -15. Which is the biggest value? (a) 1\/2 (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1767, 704, 3, 5 in ascending order.\nAnswer: -1767, -7, 3, 5, 704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2b53 (base 13) to base 10\nAnswer: -6321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = -22*i - 4*u + 4, -22 = -5*i - 4*u. Suppose 5*r - 96 = -g, 2*g - 20 = -3*r + 32. Calculate the lowest common multiple of i and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3510311.5 rounded to the nearest 1000?\nAnswer: -3510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37099580 is divided by 10181?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1954, -3876, -5798, -7720?\n\"Answer: -1922*d - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 2, 0.037, -4, -415, -0.4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43913824 + 3?\nAnswer: -43913821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/(-12 + (-88)\/(-8)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16396642*l**3 + 1273*l**2 + 4901*l wrt l.\nAnswer: 98379852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 0*u**6 + 0*u + 0*u**2 + u**3 - 2\/7*u**7 + 0*u**4 + 0*u**5 + 4. Find the third derivative of b(g) wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 142. Suppose 7*r - 4*r - 12 = 0. Suppose 0*n + r*n - w = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 2*i + 6. Let u be q(-5). Suppose 13*a = -13 + 78. Let r be a - 0\/(-2 + 7). What is the second biggest value in -4, u, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*n - 16*n + 43*n)*(-3*n**3 + 0*n**3 - 5*n**3) to k*n**2 + f*n**4 + x + u*n**3 + s*n and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/51 + -89\/102. Let x = -0.2 + 0.1. Which is greater: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2548 and 2002.\nAnswer: 28028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3630) - sqrt(30)*-3*3)\/(3*(1*sqrt(150) + sqrt(150))*-2).\nAnswer: -31*sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 314*d**3\/11 - 3122*d**2\/11 + 7670*d\/11 + 450\/11.\nAnswer: 2*(d - 5)**2*(157*d + 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 12:23 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1596.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.094 - -0.0912. Round g to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6783126*j**4 - 14449794*j + 2 wrt j.\nAnswer: -81397512*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 8:34 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 482 - 446. What is the highest common divisor of 144 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34)\/(-2*sqrt(2)) - (sqrt(17) - 2*sqrt(272))) + -2*(-1 + -1 + sqrt(17)))**2*5.\nAnswer: 180*sqrt(17) + 7205\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = -l + 1, 3*l - j = -8. Let m(c) = -c + 2. Let v be m(0). Find the common denominator of 4\/(l - (v - 2)) and -4\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36529?\nAnswer: 36529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 14, w: 4}. What is prob of sequence www?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-117)\/130)\/(((-12)\/5)\/2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -52c (base 14) to base 4\nAnswer: -33330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 96257123687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 40 = -3*a - 89, 127 = 4*n - 5*a. Suppose -123 = -5*u - 3*m, -4 + 0 = -4*m. Calculate the lowest common multiple of u and n.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1930306 (base 12) to base 4.\nAnswer: 110023002312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13761759?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 46*w**2 - 46*w - 558. Let z(x) = 22*x**2 - 23*x - 268. Let f(g) = -10*i(g) + 21*z(g). What is f(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*y - 37*y + 4*p + 18, -4*y + 5*p = -23 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/2 - 2953*y**2\/2 + 5903*y\/2 - 2951\/2 = 0 for y.\nAnswer: 1, 2951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 180.559022 to the nearest integer.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + z - 1)*(0 + 2 + 0) + 2 + 5*z - 4*z - 4*z.\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13311 and 7191.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697254 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.32863ml in litres?\nAnswer: 0.00232863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2 - 2*l - 4. Let o(v) = 4*v**2 - v - 4. Let a(d) = 5*h(d) - 6*o(d). Let u be a(3). Is -1 - 2 - (u - (2 - -87)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 15*p**2 + 24*p + 40. Let h(d) = d**3 - 2*d**2 - 8*d + 3. Let y be h(-3). Does 13 divide j(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 55*d**2 - 45*d - 6. Does 13 divide f(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -176*n**4 + n - 177 wrt n?\nAnswer: -2112*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137*k**5 - k**4 - 16886*k**2.\nAnswer: 8220*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1153 + 1157. What is the closest to b in 3\/5, -0.3, -25, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10\/9 (b) 9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 537370889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 - 60*p**3 + 46*p**3 + 116*p**3 + 21*p**3.\nAnswer: 124*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (69 - -2)\/1 + -2. Let p(d) = 22*d - 78. Let c be p(8). Let g = c - a. Solve w - 16 = 4*h, 5*w = 4*w - 5*h - g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + x - x - 5*x + 40 - 40 + 4*x - x - 4*x + (2 + 2 - 5)*(2*x + 5*x - 5*x) - 2*x + 5*x - 4*x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-2))\/((-993)\/993)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 4:14 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 5*x**4\/24 + 5*x**3 - 45*x**2. Let n be q(-6). Suppose n = -2*f + 3*f - 85600. What is f rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, 23, 300, 967, 2180?\nAnswer: 4095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 2272*n**2 + 6400*n**2 - 27 as s*n + j*n**2 + u and give j.\nAnswer: 4128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, -6, 45 in descending order.\nAnswer: 108, 45, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/20 (b) 34 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 43. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 10 - 1)*(-k - 2 + 2)*(9*k**2 + 11 - 11)*(-k**2 + 4*k - 2*k**2 + 2*k**2).\nAnswer: 99*k**5 - 396*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4536 and 729?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 22*l + 5. Let a be r(22). Let h(z) = 3*z**2 + 4*z - 8. Let s(v) = -3*v**2 - 3*v + 7. Calculate a*h(n) + 6*s(n).\nAnswer: -3*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -31*l**3\/3 - 7*l**2\/2 + 5*l - 9241. Let k(j) = -16*j**2 - 4*j + 3. Determine -3*g(v) + 5*k(v).\nAnswer: 13*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.95997 * 0.02.\nAnswer: 0.1191994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3 - 36396*v**2 - 122415678*v - 94982925456 = 0. Calculate v.\nAnswer: -1497, 21192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/(-8)*6\/(-18). Let w = 175 + -176. What is the closest to w in l, 5\/8, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*l - b, 4*b + 19 = 5*l + b. Solve -3 = x - 3*t + 6, 2*x - l*t + 6 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -13*u**9\/252 + u**6\/60 + 29*u**5\/60 + u**3 + 23*u**2 + 3*u. What is the third derivative of s(z) wrt z?\nAnswer: -3120*z**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 38*j**2 - 2*j - 2. Let v(x) = 155*x**2 - 9*x - 9. Let b(f) = 9*d(f) - 2*v(f). Let q(l) = 3*l - 1. What is b(q(g))?\nAnswer: 288*g**2 - 192*g + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*a + 44 - 152 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 39 - 4*d + 10*d)*(-8 + 8 - 6*d) + 5*d + 2*d + 8*d**2 - 5*d**2.\nAnswer: -9*d**2 + 241*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j - 34*j + 88*j - 304 = 38*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 8:07 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -132 and -664\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-36)*(-36)\/(-120)*75\/(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13581 + 27281 - h - 16390 to q + z*h and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/1*2\/(-6). What is the nearest to -2\/3 in g, 2, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 156, 233?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n - 32*n - 360 = 0. Suppose 3*r + n = 474. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124472563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h - 4. Let p = 7 - 9. Let x be a(p). What is the second smallest value in -0.3, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/120*-4)\/((-2)\/(-2))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**4 + 9*c**4 + 14*c**4 + (-c + 2*c**2 + c)*(-2*c**2 - 10 + 3 + c**2) to l*c**2 + r*c**3 + w + o*c**4 + k*c and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 5\/4)\/(995\/1592)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 13. Let n be s(17). Suppose 13 + 43 = n*y. Solve -11*t + 3 = -y*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -493582354 - 582817646 = 24*m. Round m to the nearest one million.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*w + 155*w - 12 + 8 - 7 + 6 to i*w + t and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**3\/z)\/(z**(-3\/5)\/z*z))\/(z**(-2))**(-2\/19) assuming z is positive.\nAnswer: z**(417\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221073 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cco when three letters picked without replacement from ocooccocccc.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -99*p + 96*p. Solve 5*v - 1 = -4*d + 8, 0 = -4*v + p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*x + 5*n = -45, 0 = -5*x + 2*n - 3. Let i be 2\/(-5) + (-142)\/(-30). Let y = -0.2 - -0.6. Sort i, y, 1, x in decreasing order.\nAnswer: i, 1, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/7054067 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -132130?\nAnswer: 132121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -93) + (7 - 3) + -5. Let q = -6 - -4. What is the tens digit of a*-4*q\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y. Let q(c) be the first derivative of -39 + 1\/3*c**3 + 33\/2*c**2 + 0*c. What is q(s(w))?\nAnswer: w**2 - 33*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -65. What is the remainder when (9125\/292)\/25*692 is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33130 - 11?\nAnswer: -33201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 z, and 1 t when three letters picked without replacement from vtzfvfvttvvvvvvv.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 810597 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 30 = -7*g. Let j = -6 + g. Solve j*m - c + 2*c - 1 = 0, 2*m + 5*c = 23 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 - 90*o + 4. Let j be a(30). Factor -25*t**2 - 6*t**3 + 6*t**3 + t**j - 7*t**3 + 31*t**2.\nAnswer: t**2*(t - 6)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**4 - 6*s**3 - 2*s**2 - 6*s. Let f(l) = -l**5 + l**4 - l**3 - l. Let o(y) = b(y) - 6*f(y). What is the third derivative of o(q) wrt q?\nAnswer: 360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 - (-13 - (12 - 13)) - 13 - -8.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t = 13 - 13. Let z be (6\/4)\/((-12)\/(-16)). Let s be z\/(-4) - 3\/(-6). Is s smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 47 (b) 0.105 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1012659318 by -6.\nAnswer: 168776553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 222 and 4?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 13590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 351.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 2*c + 0*c)*(4*c**2 - 8*c**2 + 15*c**2) - 4*c**3 + 3 - 3.\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15163040 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-3)\/12)\/((-20)\/70*28).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 + 2*x**3 + 172*x - 65 + 4 - x**2 - 169*x - 59 to u*x**3 + w*x + g + d*x**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 113*m + 25704. Calculate h(-223).\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 8:14 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/2 + 511155*y + 17381004.\nAnswer: -3*(y - 340804)*(y + 34)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 419*r**2 + 61480*r + 276776823 wrt r?\nAnswer: 838*r + 61480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-22) - (-588)\/1056.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -39, -1.\nAnswer: -39, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + h = -h - 28934, -2*h = -5*u + 36166. Let o = u - 159057\/22. What is the common denominator of o and -33\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1338 + 1394 + 0*s**3 + 1297 + 2*s**3 - 3858.\nAnswer: 2*s**3 + 171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 10385*b + 7967. Let z(x) = 5142*x + 3984. Let d(q) = 4*k(q) - 9*z(q). Differentiate d(o) with respect to o.\nAnswer: -4738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26910 and 690?\nAnswer: 26910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 236, -5, -1, -1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -6.43.\nAnswer: 19.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5624948 to the power of 1\/2, to the nearest integer?\nAnswer: 2372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 54 = -320*k + 317*k + 35, -4*k - 108 - 141 = 210*r + 191 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-45)\/(-63)*56\/24?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000710989 rounded to five decimal places?\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {z: 1, c: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45893148361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**4\/12 - 5*s**3\/3 + 7*s**2\/2 - 2*s + 26. Calculate q(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6173779 take away -0.021065?\nAnswer: -6173778.978935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 15 = 5*c, 5*k + c = -2*c + 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkbvckvcvkkcvxk. What is prob of picking 3 c and 1 b?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((40\/6)\/((-144)\/1080))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11579, 11580, 11581, 11582, 11583, 11584?\n\"Answer: k + 11578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 27 (b) -0.1 (c) 0.5 (d) 0.3 (e) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/67782 and 83\/228800.\nAnswer: 54225600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6159681 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.22 - 687.22. Let y = g - -683. Suppose 3*f - 11 = -4*v, -f + 4 = 2*v + f. What is the second biggest value in y, -3, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25185 is divided by 1663.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-5 - 2) + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(1100)*4) - (sqrt(34) + -6*sqrt(408)\/sqrt(12))\/sqrt(2).\nAnswer: 201*sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 = 7. Let b be 14*((-2)\/k)\/(-1). Let f = 11 - b. Solve -n = -6*n - f*q - 2, n = 4*q - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -16. Let k be 86 - 5\/(25\/(-5)). Let c = k + -82. Solve g = u - c, -4*u + 20 = -5*a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*b - 3*z, 2*b - 2*z = -4*z + 10. What is the closest to b in -1, -1\/2, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-39))\/(8\/(-48))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 349390560?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, l: 3, f: 2, w: 2, j: 1, y: 2}. What is prob of picking 1 j, 1 f, 1 p, and 1 y?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 - 312\/65\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 - -1.88. Let o = 2 - w. Put 0.3, -0.4, o in decreasing order.\nAnswer: 0.3, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5 - 11 = 0. Let u = 6 + 23. Let y = 35 - u. Solve k*b - 18 = -y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-60)\/2)\/((-20)\/10). Factor f**2 - 6*f**3 - q*f**3 + 20*f**3.\nAnswer: -f**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57000 divided by -4750\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 227 - 226.999833. Round u to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -370\/3 - -371\/3. Let s = -3 + 1. Which is the nearest to 0.1? (a) z (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012761 rounded to six decimal places?\nAnswer: 0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20097 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/26928 and -131\/343332.\nAnswer: 1373328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 take away -4969.9?\nAnswer: 4958.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005055 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/6)*c\/((c\/c**(-6))\/c*c) assuming c is positive.\nAnswer: c**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a meter in centimeters?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 141\/7 + 4\/7*r**3 - 704\/7*r + 559\/7*r**2.\nAnswer: (r - 1)*(r + 141)*(4*r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44878094 to the nearest integer?\nAnswer: 6699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 h when three letters picked without replacement from hxxxxxxxh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-158)\/168 + 10 + -9. Let k = b - -4\/21. Determine h so that 1\/4 + k*h**2 - 1\/2*h = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1098 divide 2773495296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54.811121 - 61.81113. Let w = 0.98 - -6.02. Let f = d + w. What is f rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3280 - -3279.8. Which is the closest to 3\/4? (a) -6\/97 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25521 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -44. Suppose v - 6 = -2*h, p*v - 2*h = v + 66. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-54)*-426 + 26\/117. Solve l = -3*x - 4*u + 9, -5*x + 31 = -4*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - m - 4*m)*(0*m**2 + 2*m**2 + 0*m**2) - 3 + 3 + 5*m**3 + 5*m**3 - 7*m + 7*m.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**3*t**2 - m**3 + m*t**4 - 24*t**2 - 1761 wrt t?\nAnswer: -2*m**3*t + 4*m*t**3 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4.8 (b) -1.8 (c) -879\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038690 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: Collect the terms in -9343563*q + 73533*q - 1 + 1.\nAnswer: -9270030*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5828168\/3 at most 1942722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -6 + 4 - (3 - -2). Let k(i) = 18*i**2 - 2*i - 13. What are the prime factors of k(x)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 1. Suppose 8*z - 111 = 3*z - 2*t, c = -3*t. Suppose 3*r - 21 = 5*o, -3*r = -0*r - 4*o - 24. What is the remainder when z is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.5993 to one dp.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g - 9. Let i(k) = -k + 1. Let b(f) = -f**3 + f - 6. Let a be b(0). Let v(o) = a*i(o) - u(o). Calculate v(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 4*q**2 + 4*q + 4. Let j = -40 + 59. Suppose -5*l - j = 6. Does 9 divide p(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11.2 (b) 1\/4 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*v + 1479 - 1500 = 0, -4*v = -5*u - 28. Suppose 4*f - 140 = -f. Solve -x + 5*y = -f - u, -2*x = 4*y + 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29209, 29207, 29205?\nAnswer: 29203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -22.5. Let n be -1 + 58\/35 + (-32)\/40. What is the nearest to 1 in q, -4, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -972*z + 1345*z - 2 - 376*z - 843*z**2.\nAnswer: -843*z**2 - 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w. Let t be g(-3). Suppose -f = -i - 10, -f = t*f - 5*i - 45. Suppose 3 - 23 = f*v. What is the nearest to 0 in v, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -108 - -109. Suppose 15*w = 14*w + i. Solve -7*d + 6*d = -w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8012 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110011111111 (base 2) in base 13?\nAnswer: 7152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**2 + 4269844*y + 4557891946084 = 0.\nAnswer: -2134922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 37*f - 115. What is z(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.1 * -313.3.\nAnswer: 3164.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -6. Let v = -12 - n. Let x = v - -20. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/216 + (-2)\/(-9)*1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 12, -2, 5113, -5 in descending order.\nAnswer: 5113, 12, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + m - 3. Let z be h(0). Let l(x) = -80*x - 75*x + 50 + 151*x - 52. Let t(o) = -8*o - 3. What is z*t(c) + 5*l(c)?\nAnswer: 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101 - -106. Let m(z) = 127*z + 49. What is the units digit of m(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4322, 4141, 3960?\nAnswer: 3779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12 - -13 - -29*(3 + -2). Let b be (-3 + 1)\/(g\/945). Let m = b + 62. Which is bigger: m or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 8274*r**3\/5 - 8742*r**2\/5 + 468*r\/5 = 0.\nAnswer: 0, 78\/1379, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101001 - -100?\nAnswer: 110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4062696 divided by 33\nAnswer: 123112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -67. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.119 - -43.7179.\nAnswer: 43.5989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from wtiwuuwwwtuurut.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 7:01 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*l**5 - 7*l**2 - 3054*l?\nAnswer: -1300*l**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7298 - 0.8.\nAnswer: 7297.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.39408 - -104?\nAnswer: 116.39408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -3*k - 3, -3*v = 67*k - 71*k + 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 78 = -83*a + 27*a. Suppose 0 = -2*i - 3*i. Sort 2, i, a in ascending order.\nAnswer: i, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h**4 + 327802*h**3 + 780637*h**2 - 577650*h + 93672 = 0 for h.\nAnswer: -3, 2\/7, 1\/3, 15612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5 = -5*a. Let l(s) be the first derivative of -s**5\/60 + s**4\/6 + 5*s**3\/6 - s**2 + 2. Let d(c) be the second derivative of l(c). Determine d(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22.5 - 16. Let k = -8.44835 - 0.05165. Let v = k + r. What is the closest to 1 in 0.01, v, 5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1239 and 7959.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -23*o**6 - 7*o**5 - 24*o**2. Let x(l) = 22*l**6 + 6*l**5 + 23*l**2. Let d(i) = -6*f(i) - 7*x(i). Find the third derivative of d(p) wrt p.\nAnswer: -1920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -592, -107040 in decreasing order.\nAnswer: -2, -5, -592, -107040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.1496469 micrograms?\nAnswer: 149.6469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2))**(-29)\/((((y\/(y*y*y\/((y\/(y\/((y**(-4)*y)\/y))*y)\/y))*y)\/y)\/y)\/(y\/(y**(1\/2)\/y)))*((y**(2\/5))**(-27))**(-1\/30) assuming y is positive.\nAnswer: y**(-141\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/5, 3\/41, -7.89 in ascending order.\nAnswer: -7.89, -5, 3\/41, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/7 (b) -4 (c) -1.5 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 18*v - 27. What is x(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67649762?\nAnswer: 2, 23, 601, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 685620285 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23692, -47411, -71156, -94927?\n\"Answer: -13*d**2 - 23680*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 21*l**2 - 3*l + 10. Let m(y) = -55*y**2 + 7*y - 22. Let a(b) = -3*m(b) - 7*z(b). Let k(g) = -3*g. Determine k(a(c)).\nAnswer: -54*c**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (-52)\/16) + (-12390)\/(-8). Suppose 4711 - a = 17*o. Suppose -t = 5*s + 47 - o, -t + 189 = -5*s. What are the prime factors of t?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 72 = 4*d - 3*i, 0 = d - 2*i - 18. Sort 1, d, 4 in increasing order.\nAnswer: 1, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96372381 is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7*k - 73 = -10*k, 12 = m - 2*k. What is the highest common factor of m and 6058?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10}. Give prob of sequence uu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-11) + (-784)\/(-44). Let u = 51 - l. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/1)\/(220\/110)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-152)\/76)\/(2\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -10 (b) 5 (c) -1\/8 (d) 2\/27 (e) 0.37 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a millennium in years?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 98*j + 2811. What is the ten thousands digit of v(75)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 822011627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 10*d + 37. Let f be h(-6). Let k = f + 26. What is the smallest common multiple of k and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 319 and 232?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8\/5, -5\/2, -0.5, 299657\/10?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -22. Suppose 2*y = -i*s - y + 16, 2*s = -2*y + 8. Solve o - s = -7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 48.76. Sort 2, 0, w in increasing order.\nAnswer: w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000304829689 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 6*s + 5. Let v(b) be the first derivative of b**2\/2 + b + 7. Let z(c) = a(c) + 2*v(c). Determine z(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 313.56365 to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a factor of 606528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -754 (base 12) in base 10?\nAnswer: -1072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*u - 8 = 0, u - 22 = 2*t. Is -8 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -7) + -6 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 372020407?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (64\/(-48))\/(2\/(-3)). Is 5 a factor of (-10 - -14)\/(s\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15110*u = 369277 - 1804727 for u.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-61)\/((-3538)\/9))\/(3\/2).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -107*i + 673. What is u(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*w = 500, -2*w + 94 - 90 = 0. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2 + 3 + 3. Let z(m) be the first derivative of 0*m - 16\/3*m**3 + 0*m**j + 17 + 7\/4*m**4. What is the third derivative of z(i) wrt i?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 7 + 5. Suppose z*l = 37 - 10. What is the highest common factor of 36 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 3 + 8\/4. Let k(g) = 4*g**3 + 5*g**2. Let m(z) = -3*z**3 - 4*z**2. Give d*k(p) + 5*m(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 1788. Let n(d) = 19*d - 14. Let z(m) = 15*m - 11. Let v(r) = -11*n(r) + 14*z(r). Give v(h(y)).\nAnswer: -y - 1788","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6494, -11369, -16244, -21119, -25994, -30869?\nAnswer: -35744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 935245 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/7*n**4 - 64\/7*n + 48\/7*n**2 + 0 - 1\/7*n**5 + 20\/7*n**3 = 0 for n.\nAnswer: -4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 16. Suppose 0 = -5*b - 204 + 224. Solve k*t = t - b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*c + 4*c, 3 = 5*s - 3*c. Sort s, 4, 12, 21 in decreasing order.\nAnswer: 21, 12, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 221 = l + 4*l, 54 = b - l. Let z = 818 - 768. Which is smaller: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -50*c - 200. Let f be l(-4). Solve f = -6*j + 9*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*k - 3 + 3*k)*((-4*k + 2*k + 0*k)*(-2 + 5 - 1) + 149*k - 137*k - 46 + 55).\nAnswer: 8*k**2 + 17*k + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2889*a - 222463. What is c(77)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(2\/(-15))*18\/90. Factor -9\/2*q**2 - 3\/2*q**3 - 9\/2*q - n.\nAnswer: -3*(q + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 7768 = -4*h, -2*n + 2*h + 42 = 2628. Is n != -1299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27336458.47 to the nearest one thousand.\nAnswer: 27336000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217 - 0.86.\nAnswer: 216.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(77)*1)\/sqrt(7))*1.\nAnswer: -1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*g = -14*g - 13*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 24*o - 944. Let m be c(52). What is the highest common factor of 209 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6107 - -5132?\nAnswer: 11239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -655*m**2 + 4. Let n(x) = 184050*x**2 - 1125. Determine -1125*d(f) - 4*n(f).\nAnswer: 675*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1\/6, 0.1, -4\/3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651490 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d21 - 1?\nAnswer: d20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 520, 2139, 4850, 8653, 13548, 19535?\nAnswer: 26614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0*o + 4 + 0*o - 5*o. Let n(a) = a - 1. Let m(z) = -j(z) - 4*n(z). Let v(q) = -4*q. Calculate v(m(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-6))\/(3\/(-8)). Let s = 74 - 73.5. Which is the closest to -1\/3? (a) 0.2 (b) h (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.7 - -18. Let l = 1 + 4. Which is the third smallest value? (a) -0.2 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 5*x**3 + 17*x + 4. Let u = 15 + -53. Let w = -44 - u. Let a(k) = -7*k**2 - 8. Determine w*m(h) - 13*a(h).\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10}. What is prob of sequence tt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 61*u**3 + 806*u**2 - 65*u + 13. Determine p(-13).\nAnswer: 3055","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h + 4. Let c = 23 - 29. Let z = 13 + c. What is p(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2 = 3*b, -3*b - 3047 = -5*p. Suppose t + 2*l = 127, -7*t + p = -2*t + 5*l. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 5*g - 5*g)*(5 - 10 - 5) + 6 - 6 + 5*g.\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13172 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 171342467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 q when three letters picked without replacement from {q: 3, d: 9}.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -3 (c) -0.266 (d) -0.3 (e) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 1. Let m(w) = 2*w + 8. Let y(v) = -10*k(v) - 2*m(v). Let p(q) = q - 1. Let f(n) = 11*p(n) - 2*y(n). Give f(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/870?\nAnswer: 1\/870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*l + 3*y + 26, 1120*l = 1121*l - 4*y - 31 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 4*b + 3*b)*(b**2 - 3*b**2 + 4*b**2) - 429*b - 19*b**3 + 429*b + 0*b**3 + 2*b**3 - 4*b**3 + (3*b**3 - 6*b**3 + b**3)*(-2 + 1 - 2).\nAnswer: -19*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j. Let l be o(1). Solve 2*c + 4 = -l*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*q + 206*q - 594*q + 626*q**2.\nAnswer: 626*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f**(-4\/9)*f*f)\/f))\/f**(-6)*(f\/(f\/f**5*f))\/f**(-2\/3) assuming f is positive.\nAnswer: f**(100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 36 - 4 - 2*o**2 + 33 - 3*o**2 + 3*o**2 - 4*o**3 in the form t*o**3 + q + c*o**2 + v*o and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 34.7 + -34.3. Which is the second biggest value? (a) 16\/3 (b) -0.4 (c) y (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/40)\/((-3)\/18)*(-120)\/510?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.1 + 5. What is the smallest value in -1, 1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22048 - 22004. Let n = 6 - 3. Suppose 2 = n*y - 4. Solve 3 = 4*a - i, y*a + 5*i - b = -15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 780 - 765. Suppose 3*o - v*z + 10*z = 3995, -4*o - z + 5319 = 0. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 448484133 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23145 (base 7) to base 4.\nAnswer: -1130121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 9*n**2 - 7*n - 3. Determine z(-4).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 - 63*p + 36. Let b be j(31). Suppose 475 = -2*m - 0*m + 3*l, l - 1220 = b*m. What is m rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**3 - 42*g**2 + 196*g + 240 = 0.\nAnswer: -1, 10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*w - 499*w - 18872 = 0 for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 118.18 - 117. Let b = 60.82 + z. Let n = b - 61.9. What is the biggest value in -6\/7, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 7:43 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -68, -121, -178, -239?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3 - 1 - c + 0*c**2 + 1 + c**2. Is k(14) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 4*t**2 + 95 + 2\/5*t**5 + 3*t + 0*t**4 + 27*t**3. Find the second derivative of u(w) wrt w.\nAnswer: 24*w**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27470, 27467, 27464, 27461, 27458?\nAnswer: 27455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 0*i - 5*i = 5, -3*x - 2*i - 2 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 73*n**2 + 2548*n. Let p(h) = 17*h. Determine p(t(l)).\nAnswer: 1241*l**2 + 43316*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*d - 12, -5*a + 5*d - 64 + 44 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -76 - -7884.56.\nAnswer: 7808.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2708209 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 6 + 10. What is the derivative of 0*d**3 - 4*d**3 + 5 + 2*d**f + 5*d**3 + 55 wrt d?\nAnswer: 8*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2218 and 117\/10?\nAnswer: 11090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*c*z**3 - 2*c*z - z**6 + 6*z**2 + 10 wrt z.\nAnswer: 504*c - 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - 13. Let u be a(-2). Let w(d) = -13*d + 17. Give w(u).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35 or -946?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 7*j**2 - 5*j - 2. Let a be t(8). Suppose -a*z - 25 = -27*z. Suppose -s + 6*s - 45 = -z*w, -2*w = -4*s. Solve 2 = w*r - 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1\/7 (b) -5.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-55) - (-6)\/33?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 184824 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*r + 34*r = 117*r + 22540 for r.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence te when two letters picked without replacement from etheethhhhe.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25420 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266426677.\nAnswer: 11, 37, 654611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16806269, 16806271, 16806273?\n\"Answer: 2*g + 16806267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*m + 8, -9*r - 80 = -m. What is the closest to r in 2, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 168 - 85 = 5*d, -5*a + 85 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 less than or equal to -996\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/3 - 58*m**3\/3 + 61*m**2\/3 + 118*m\/3.\nAnswer: -m*(m - 2)*(m + 1)*(m + 59)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*o**4 - 9*o**3 - 2*o**2 + 910*o + 10*o**3 - 904*o to m + r*o + j*o**4 + q*o**3 + w*o**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 17. Let u be (((-6)\/2)\/3)\/((-2)\/20). Determine v(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -17*o + 1. Let l be k(-3). Suppose -h - 23 = -2*m, 0*m - 3*m + 5*h = -l. Let y = -9 + m. Which is the smallest value? (a) -4\/9 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -72, -3\/2, -63, 54, -4?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -3*x - 4*p, 0 = -2*x + p - 4*p + 87. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286132698?\nAnswer: 2, 3, 71, 73, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 630\/19635*(-1462)\/258?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3160.6 + -3161. Sort g, 3, 55 in decreasing order.\nAnswer: 55, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12719 and 2672807.\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m - 81 = 27*m. Suppose -m*w + 1191 + 465 = 0. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1691*m - 400*m + 1066*m - 5043 + 7400 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (270\/(-50))\/(18\/(-270)). What is the highest common factor of y and 10287?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.3, -8, 23.53, 2\/11, 64, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48683321 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -228*f + 5368. Determine u(23).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5 + 1. Suppose c*m - 921 = -m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/18*(-1 - 121). Suppose 5*b - s = -3*a, -1 = 3*a - 7. Let f(h) = 41*h**3 - 2*h**2 + 2*h - 1. Calculate the remainder when f(1) is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 15) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 2*l**2 + 2*l**2)*(-4 - 2*l + 4) - 3*l + 3*l - 4*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(0 + (-1 - -2)). Suppose i = 9*l - 4*l. Suppose 5*a = -5, l*w - 21 = -3*a - 0. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 + -27)\/((-1)\/(-2)). Suppose -9*z = 351 - 1080. Let p = z + y. Solve -2*d - p*k - 33 = 0, 6 = -4*d - k + 3*k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c - 81. Let m be v(14). Find the second derivative of 33*g**2 - m*g - 21 + 1 + 11 wrt g.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 3*b**2 - 2*b + 11. Let j be n(-4). Calculate the highest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14122 (base 5) to base 10.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 6:23 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 3*m = 7, -s - 5*m + 12 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 4*c**2 - 2*c + 4. Let n be d(-6). Suppose 3*z + g = 49, 5*z - n = -g - 7. Solve h - 5*h = -z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12951012 and 960.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -6*t + 870. Suppose -28*v + 23*v = -t. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1530818 is divided by 86?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**5 + 25*x**4 + 40*x**3 + 20*x**2.\nAnswer: 5*x**2*(x + 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1748.8884 to the nearest ten.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqpa. What is prob of sequence aa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9773 + 15977. Calculate the lowest common multiple of a and 44.\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h - 39. Let k(x) = x + 6. Suppose -120 + 12 = 4*o. Let d(p) = o*k(p) - 4*l(p). Calculate d(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 2*q**5\/35 + q**4\/4 - 2*q**3\/3 + 5*q**2\/14 + 503. Factor g(d).\nAnswer: d*(d - 1)*(d + 5)*(2*d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4554601351 to the power of 1\/2, to the nearest integer?\nAnswer: 67488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 3*z + 1 - 3*z)*((4*z + z**3 - 4*z)*(0 + 0 + z) - 8*z**4 - 3*z**4 - 10*z**4).\nAnswer: -20*z**5 - 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23589 < 23590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35897 - -89103. What is the ten thousands digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 67*o**2 - 10*o + 21. Let w be v(-9). Let g be -4 - w\/(-30) - (-2)\/5. Suppose -4*i - i + 446 = -4*x, 2*i = -x + g. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 + 18*t + 81. Let n(l) = l**2 - l + 1. Let j(z) = f(z) - 4*n(z). Is 28 a factor of j(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -448 or -447?\nAnswer: -448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 > 40303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 74989 = -2*f, 6*f = 9*f - 3*u - 112470. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b + 33*b = 0. Suppose -4*v + 180 = -4*x, b*v = 5*v + 2*x - 211. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(216))\/sqrt(8).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*m + 1422 = 0, 26*i - 31*i + 3625 = -5*m. What is the highest common factor of 35 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23287*o**3 + 23210*o**2 - 2*o.\nAnswer: -139722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8919 or -2685070\/301?\nAnswer: -2685070\/301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 17*g**3 - 17*g + 11. Let q(x) be the first derivative of 2*x**4 - 4*x**2 + 5*x + 22. What is 6*a(r) - 13*q(r)?\nAnswer: -2*r**3 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -4, -5, -56.62, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -0.4, 2.28, -3 in decreasing order.\nAnswer: 2.28, -0.4, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 273 + -3001\/11. Is -2\/5 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -500 by 25.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/199 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o - o**2 + 3*o)*(254*o - 1855 + 1855)*(-14 + 7 + 12*o + 7) to u*o**3 + h*o + m + q*o**4 + c*o**2 and give q.\nAnswer: -3048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 18*l + 1. Let o be s(-15). Let k = o - 28. Find the second derivative of -7*q + 9*q + 6*q + k*q**4 wrt q.\nAnswer: 216*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 83710449, 83710480, 83710531, 83710602, 83710693, 83710804, 83710935?\n\"Answer: 10*j**2 + j + 83710438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3248*l + 58439. What is s(-18)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 200234603?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4*f + 63, 3*f - 1004 + 2073 = 3*i + 1006 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/15 - (-31756)\/(-1230) - (-560)\/(-11480)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 6:14 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 588814 (base 9) in base 8?\nAnswer: 1263662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9092429 is divided by 527.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22327 and 2756513.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 13*c**2 - 10*c + 15. Let m be t(-12). Let q = -4 - m. What is the least common multiple of q and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 + -29. Let h = -89.162 + -2.778. Let d = a - h. What is d rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (3 - (10 + (-2 - 4))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-26)\/3)*180\/115 - -6.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 834600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 - -0.02. Let u = -90 + 1352\/15. Which is the closest to 1\/2? (a) r (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 525 = 58*n + 81*n - 36*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - y - 3360. Let m(f) = -2*f. What is m(b(j))?\nAnswer: -2*j**2 + 2*j + 6720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 6 = 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/4)\/(3\/6*-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, j: 1, e: 2}. What is prob of sequence je?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khbisxhis. What is prob of sequence ki?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, a: 1, n: 9, j: 3, h: 2, e: 1}. Give prob of sequence sa.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -19, -31, -43?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1055202*l**2 - 65*l - 592. Let r be w(-8). Round r to the nearest 100000.\nAnswer: -67500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 0*h - 13*h**2 + 1\/6*h**5 - 7\/8*h**4 + 0 + 1\/120*h**6 - 5\/2*h**3. Does 15 divide x(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4.4. Let z = 0.002 - 4.002. Let s = -8.5 - -8. Which is the second biggest value? (a) z (b) s (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/9)\/((-12)\/(-54)). Suppose -u*v - 5 = -14. Solve 0 = -j - o - 3, -2*j - 3*j - 19 = v*o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1011 greater than or equal to -1012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112 by 6.\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g**2 + 234*g + 6. Give d(39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 - -28. Let d = w + 52.000047. What is d rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3444 and 118503.\nAnswer: 115059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**4\/12 - 8*l**3\/3 + 5425*l**2 - 1. Let i = 10 - 2. What is m(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b - 20*b - 36 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-18))\/((-30)\/24)*(-3)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = 1. Suppose p*o - 25 = -2*o. Suppose 0 = -o*u + 96 + 259. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21f3 (base 16) to base 8.\nAnswer: -20763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*x - 2*x = -32, x - 11 = -2*f. Suppose 0*n + n + 2*k = -5, 3*n - 25 = 4*k. Calculate the remainder when f is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Suppose -5*o = -4*o - 6. Let u(g) = g**3 - 4*g**2 + 6*g + 4. Let s(v) = o*f(v) + u(v). Calculate s(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12813.7967 rounded to the nearest one hundred?\nAnswer: 12800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 8:25 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 - 4*j**2 - 11*j - 20. Let l be g(-4). Let x be (284\/30)\/2 + 56\/l. Which is the closest to 0? (a) x (b) -1\/2 (c) 3 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -667, -0.1, -0.129?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, -15\/7 in descending order.\nAnswer: 9, 2, -15\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000396 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - -5352360?\nAnswer: 5352377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3 - 76416*r**2 - 30504828*r - 3068624016 = 0. Calculate r.\nAnswer: -25068, -202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 + (-444)\/(-48))*8. Solve -5*q = -2*s, 2*s - x = -q + 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**4\/24 - k**3\/2 - 5*k**2 + 12*k. Calculate l(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from ffyfffyyffffyy.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -68? (a) 1 (b) 151 (c) 10.7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, m: 2, g: 8}. Give prob of sequence nmn.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92 - -90.98. Let x = n + 0.02. Let k = x + 2. What is the smallest value in k, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**8\/5040 + r**7\/420 + r**6\/90 + r**5\/10 - r**3\/6 + 15*r**2. Let a(y) be the third derivative of s(y). Factor a(z).\nAnswer: 4*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64328 and 40?\nAnswer: 321640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from hhhhgsvghl.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 205 + 20\/(-2 - 2). Suppose -12 = -k*b + 199*b. Solve -b = 5*x - 9*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69318089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3\/5 + 18*u**2\/5 + 22*u\/5 - 42\/5 = 0. What is u?\nAnswer: -7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064341189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 25 + 4*k**2 - 6*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - (2*sqrt(76))\/sqrt(2))\/(sqrt(128)\/sqrt(4)).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60958*p**4 - 2710*p - 2 wrt p?\nAnswer: -731496*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**6\/270 + l**5\/135 + l**4\/27 + 3*l**2. Suppose s(v) = 0. Calculate v.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 0*h + 2*h)*(3237 - 1515 - 1601)*(-1 - 3 - 3)*(0*h - 2*h + 4*h).\nAnswer: -1694*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/3*(-9)\/6*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 32 (b) 14 (c) 4 (d) -0.395\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69800 rounded to the nearest one thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 15*i**2 + 4*i - 192. Determine r(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 2)*(-15 + 15 + 4*y**2) + (5*y - 3*y + 0*y)*(4*y - 4*y - 4*y) in the form v*y + n*y**2 + k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -17*r**2 - 624*r + 1875. Determine v(3).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/62 and 19\/13087270.\nAnswer: 13087270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4781?\nAnswer: 7, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -8998*c**4\/3 + 71980*c**3\/3 + 3010*c**2 - 71980*c\/3 - 32\/3 = 0. Calculate c.\nAnswer: -1, -2\/4499, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -200 - -226. Let c be 4 - (0\/h - 2*-1). Solve i = 6*i + 4*q - 3, -c*q = 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 0 - 144*w**2 - 28*w - 13 + 150*w**2 - 8. Is c(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -6. Let z = o + -1. Suppose 4*a + 4 = 3*l, -4*a + 0 - 4 = l. What is the smallest value in z, 0.4, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q + 5 - q + 9 - 18. Let w(s) = -3*s + 15. Determine -15*f(x) - 4*w(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**5 - 83*g**3 + 480*g**2 wrt g.\nAnswer: -60*g**2 - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 1564.\nAnswer: 6256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -683*a - 6079 - 17143 for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 2925312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*w**4*y**2 - 2*w**2*y + w*y**2 - 9*y**2 wrt w?\nAnswer: -744*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5, o = -4*v + 18. Let i be 12\/30*10 - (o - -4). Solve 2*d - i = 0, -3*l - 4*d = d - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17652 by -2942.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from {k: 2, a: 16}?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*h - 69*h + 4*p + 16042, 3*h - 5*p - 24060 = 0. What is the thousands digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 less than -3123.88?\nAnswer: -3123.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i = 16. Suppose o + i = 5*o. Let n be (-5 - -6) + (o - -3). Solve -5*m - n = 5*v, -4*v + m + 0 = -16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2538.14486 to the nearest integer.\nAnswer: -2538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5 - 12*h**4 - 32*h**3 - 4*h**2 + 30*h + 16.\nAnswer: 2*(h - 8)*(h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 (base 10) in base 5?\nAnswer: -2224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1043 - -1931. Let j = q + -894.03. Let y = 6 + j. What is y rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107585784?\nAnswer: 2, 3, 1494247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 93 - 21 = 4*a, 4*a - 46 = -2*l. Calculate the remainder when ((-10)\/4 + 2)*-76 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*s = -15*s + 54 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1931*g + 36 = 1919*g. Do -2 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 260a2 - -4?\nAnswer: 260a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 7. Let d(t) = t + 6. Suppose -o + h + 12 = -5*o, 0 = -4*o - 5*h - 12. What is o*d(y) - 2*x(y)?\nAnswer: -y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 4*i**2 + 4*i + 3. Let o be a(4). Let y = -10 + o. Suppose -y = -4*g + 47. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -1, 0 = -4*v - 2*o + 197 + 201. What is the remainder when v is divided by ((-13)\/(-2))\/((-1)\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -312*q - 3\/4*q**2 - 32448.\nAnswer: -3*(q + 208)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102.7 + 103. Which is the nearest to 2\/5? (a) w (b) 2 (c) 8\/7 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-178)\/(-532) + ((-157)\/(-14))\/(-157).\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 453 - 31. Suppose 0*s + j - i = -s, 0 = -s - 4*j + 425. Find f, given that s + 2*f + f**2 - 421 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 24 = -o - 3*w, -o + 26 = -5*w. What is the nearest to -0.1 in o, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5099, -5089, -5079?\n\"Answer: 10*k - 5109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 2 (c) -2 (d) 5 (e) -6.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 32*v + 27. Let f(h) = -63*h - 60. Let m(b) = 3*f(b) + 5*z(b). Find the first derivative of m(r) wrt r.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-1)*g)**(2\/19)*g**(-9)*(g*(g*(g\/g**(3\/10))\/g)\/g)\/g)**19 assuming g is positive.\nAnswer: g**(-1687\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (38\/(-6) - (-5)\/25*35)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -7*b - 4*b + 28, -2*l + 9*b - 13*b - 404 = -26*l for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13827251, 27654500, 41481749?\n\"Answer: 13827249*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16527 or -16593?\nAnswer: -16527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 13.93. Let f = 2.5 + -3. What is the smallest value in v, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 6:38 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -22*f - 11. Let o be t(-4). Let a = 123 - o. Calculate the remainder when 182 is divided by a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 2, h: 1, f: 1}. Give prob of picking 1 h and 1 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49903*y - 49880*y + 598 = 0 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -251\/20? (a) 1 (b) 4 (c) -4\/3 (d) 0.1 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fttttfwjttttpa. Give prob of sequence jt.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 33. Which is the second biggest value? (a) -0.5 (b) u (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(5)*1 + (sqrt(5) - (sqrt(50)\/(3*sqrt(10)) + sqrt(5))) + (sqrt(35) - sqrt(35)*-1*4)\/(sqrt(63)*-4).\nAnswer: 9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -646261 + 2111461. What is b rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 * 5806266.\nAnswer: 754814.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 11:58 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 5*w**2\/2 + 11*w + 1. Let h be k(-6). Let d = h + 59. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(((-27)\/6)\/(-3)). Calculate the greatest common factor of 16 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (360 - 359 - (1 + (0 - 4))) + -14 - -18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 3 - (1 + -1 + 4)) + 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (745*h**2 + 32*h**2 - 201*h**2)*(h + 2 - 2)*(1 - 4 + 4)*(4*h + 3*h - 5*h).\nAnswer: 1152*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*505.\nAnswer: -3030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -50*v - 339. Let f be c(-9). Put f, 2\/3, -2, 3\/2 in descending order.\nAnswer: f, 3\/2, 2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15858 divided by 15858\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -d + 8, -7 = -5*o - 3*d + 9. Suppose -37 = -19*k + 1. Solve -k*f + o = -2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14136 + 43006. Calculate the highest common factor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/72*46 + -2. Let f = -29\/36 + u. What is the third biggest value in f, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14*(-13 + 14) + 2847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 968, 1316, 1660, 2000, 2336, 2668?\n\"Answer: -2*h**2 + 354*h + 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 + 8*w + 4. Let i(u) = 2*u + 21. Let n be i(-7). Suppose -t = 2*t + 2*o + n, 3*o - 3 = 0. What is the units digit of f(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 3*v**2 + 2. Let r be -3 - (-1 + -1 + 2). Let h be g(r). Solve -b = h*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000343611 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10411188?\nAnswer: 2, 3, 83, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrz when three letters picked without replacement from rzrrzrrrzrrrrzrrzrr?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -3443*y**5\/60 + 34*y**4\/3 + y**3\/6 - 122*y**2 - 3*y + 6. What is the second derivative of i(t) wrt t?\nAnswer: -6886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2050\/41 - (1 + -4 - -1). Suppose -7*w + f = -11. Is 7 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, w: 3}. What is prob of picking 2 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 68, 120, 190, 284, 408, 568, 770?\nAnswer: 1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/1452*407)\/(-10*(-7)\/(-420))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + 7960 + 7\/(-7). Suppose f = 15*h - 2894. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/13)*a)**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 4522.\nAnswer: 4522.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8148947 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-498)\/(-84) - 2) + ((-52)\/56 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.107 - 0.014.\nAnswer: 0.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + h)*(-3*h**2 - 2*h**2 + 2*h**2) - 15*h**3 - 6*h**3 - 28*h**3 in the form g*h**2 + o*h**3 + b + j*h and give o.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**4 - x**3 + x**2 - x - 1. Let w(c) = -c**4 - 6*c**3 + 6*c**2 - 15*c - 6. Let b(i) = -w(i) + 6*z(i). What is the second derivative of b(q) wrt q?\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + (8 - (0 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 132265.5cm in micrometers?\nAnswer: 1322655000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - y + 18 = -3*o, 32 = -4*y - 5*o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 1:40 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 3*m**2 + m - 3. Suppose -x - x = -4, 2*n - 5*x + 16 = 0. Determine g(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 325.40438 to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 568693230 to the nearest integer?\nAnswer: 23847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 11:42 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-6)*l*l*l\/(l**4\/l*l))**(3\/14))**1)**(-1\/26) assuming l is positive.\nAnswer: l**(9\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvp when three letters picked without replacement from pvbpcjb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 62?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -3*c**4\/2 - 16*c**3\/3 - 16*c + 13. Let l(f) = -f**3 - 3*f**2 - 3. Determine -11*l(k) + 2*z(k).\nAnswer: -k**3 + k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3728 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -118 and 0.025476.\nAnswer: -3.006168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*n - 1890 - 452 = 1150 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**5\/450 - x**4\/45 - 4*x**2. Suppose f(j) = 0. What is j?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 576308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7598 - -7630. What is the lowest common multiple of 1540 and t?\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 2*a + 5. Let g be d(6). Let p = g - 21. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5149\/7710 + 3\/2570. What is the closest to 0 in b, 2\/7, 0.77?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -12*c**2. Let k(a) be the first derivative of -a**4\/24 - 13*a**2 + 19. Let u(p) be the second derivative of k(p). Give u(x(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4785 + -6739124.87.\nAnswer: -6743909.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5146, -15426, -32556, -56530, -87342, -124986?\n\"Answer: g**3 - 3431*g**2 + 6*g - 1722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 - 91. Let g = 0 - -22. What is the third derivative of -g*c + 22*c - 3*c**2 + f*c**3 wrt c?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*g + 1398 - 373 = -2157 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l - 35748 = -35328 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(112) + ((2*sqrt(56) - sqrt(56))\/sqrt(8))**2.\nAnswer: -16*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*y**3 - 3*y**4 + 9*y**3 + (4*y**3 + 32*y**3 - 4*y**3)*(2 - 4*y - 3*y + 5*y).\nAnswer: -67*y**4 + 64*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 29 = -14. Let z = 8 - n. Calculate the remainder when 12 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/7 + 20*x**2\/7 - 54*x\/7 - 72\/7 = 0. Calculate x.\nAnswer: -12, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(560\/32)*(-5)\/(-16)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 74 + 376 = 0. Suppose h - 344 = z. What are the prime factors of h?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 9 = 3. Suppose 5*k = -5*n + 10, -3*k + 1 = y. Is ((-6)\/n)\/2*-31 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - 0.6. Which is the closest to 6? (a) y (b) 3\/2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 32*i - 23. Suppose 0 = -49*c + 54*c - 35. What is the units digit of j(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -469?\nAnswer: -32\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 127*h**6 - 164436*h**5 + 34*h**2 + 5009*h + 72 wrt h.\nAnswer: 15240*h**3 - 9866160*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k. Let y(d) = 426*d - 10. What is y(o(w))?\nAnswer: 1278*w - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*i + 2*z, -2*z = 3*i - 4*z - 46. What is the remainder when 69 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62460 is divided by 443.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57431*t + 5*n + 27 = -57429*t, 2*n + 12 = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 12, l: 3}. Give prob of sequence clll.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 10:11 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -947362 or -947364?\nAnswer: -947362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnnnnssnnnnnsnnnn?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**13*f)\/(f\/((f*f**(-4\/3))\/f))*((f\/(f*f\/f**(2\/7)))\/f)**19)**(11\/3) assuming f is positive.\nAnswer: f**(-10373\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**5\/20 + 2*z**4\/3 + 4*z**3\/3 - 16*z**2 + 3*z + 25. Calculate t(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18442, -18428, -18396, -18340, -18254, -18132?\n\"Answer: k**3 + 3*k**2 - 2*k - 18444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 5:04 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 1:45 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-9 + (3 - -1)) - -3) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 34584 and -4.06?\nAnswer: 34588.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 383171353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 56, 1, -14, 87, 33, 3 in ascending order.\nAnswer: -14, 0, 1, 3, 33, 56, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**3\/5 + 8994*u**2\/5 + 653127*u\/5 + 11693076\/5 = 0. Calculate u.\nAnswer: -2924, -43, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(sqrt(7)*2)**2*2*-6.\nAnswer: -2688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -6, 2 in increasing order.\nAnswer: -6, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2196010 divided by 2?\nAnswer: -1098005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3440 and 9460.\nAnswer: 37840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a8a2 (base 13) to base 7.\nAnswer: -2066345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 d when three letters picked without replacement from {d: 10, e: 10}?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48455 or -48454?\nAnswer: -48455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.183 in 0.2, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.110163 centuries to decades.\nAnswer: 91.10163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x**(-3\/7)\/x)))\/(x\/(x**(-14)*x)))\/(x**5\/x)**(-2\/15) assuming x is positive.\nAnswer: x**(-1564\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 174ac (base 14) to base 16\nAnswer: e4c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/49 - ((-10)\/8 + (-6345)\/(-756)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*sqrt(19)*2)**2 - (2 + sqrt(304) + 5 + sqrt(304))**2.\nAnswer: -112*sqrt(19) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**5\/5 + 13*i**4\/5 + 3*i**3\/5 - 16*i**2\/5 - 4*i\/5 = 0. Calculate i.\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 7*f = -22*f + 667 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*v = 9, 102*a + 2*v - 7 = 107*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24816 - -24818. Solve 12 = -x*k - 2*i, -40*i + 39*i = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/73 and 3\/10658.\nAnswer: 10658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -46*o**2. Let y(z) = 9*z**2. Let h(v) = -3*i(v) - 16*y(v). Let x(f) = -4*f. Calculate x(h(t)).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 3*o**2 + 2. Let v(g) = -3*g**3 - 10*g**2 - 7. Let f(s) = -8*k(s) - 3*v(s). Let m be f(-5). What is the tens digit of 5\/m*-4*339\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*r + 264 = -2829 - 427 for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 90.044*-2001\nAnswer: -180178.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - -3 - 6\/3. What is the third biggest value in d, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-2)*7\/7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 5*c - 7. Let h be o(-6). Let t be (-9)\/((-18)\/220) + h + 4. Let w = 28 + t. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m + 3. Let g(d) = -d**3 - d**2 + d - 5. Let n(o) = -o**2 - o. Let u be n(-1). Let z be g(u). What is the units digit of w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 283, 5 in decreasing order.\nAnswer: 283, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -251328 divided by 3\nAnswer: -83776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 11:11 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-25 + (-23 - -24 - -73))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4)*0\/(-2). Let f = -161 + 157. Let r be (-2)\/10*3\/1. Which is the third biggest value? (a) f (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 4*r + 4*r)*(-3 + 5 - 4)*(6 - 6 - 7*r).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1 - 4*q + 2*q**2 - q**2 - 2*q**2. Let p be d(-4). Let o = 5 + p. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t + 1413570 + 19613963 + 1688620 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 359060033 to the nearest integer?\nAnswer: 18949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 2:29 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 5\/3 (c) -112 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1312215 (base 6) to base 14\nAnswer: 1c243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 n, and 1 w when three letters picked without replacement from {k: 1, n: 2, d: 2, w: 1, u: 2, m: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -51.63495?\nAnswer: -516.3495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 78 - 18. Suppose 6*v = -18 + i. Calculate the remainder when 10 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 - 0.05. Let m = -0.04 - r. Let t = 3.3 + 0.7. What is the closest to -0.1 in -3, t, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51783 = 4151*p - 14633 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-88)\/4 - 1)\/(2\/(-4)). Suppose n*p - 47*p = -106. Let t = -48 + p. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 257852 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + 0 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/7 - 0. Which is the nearest to 2? (a) r (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 62828.\nAnswer: 62828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -13*a - 1. Let u(f) = -15*f**2 + 1. Let y be u(0). Give k(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 216, 279, 382, 525?\n\"Answer: 20*i**2 + 3*i + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from mttdmmtm.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -40, -36, -36, -40?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34672 and 1920356.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 = 2*w - 20*w - 9*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -818, 3, -1, 4, -4 in descending order.\nAnswer: 4, 3, -1, -4, -818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 40\/3*x - 44*x**2 - 28\/3*x**3 = 0. Calculate x.\nAnswer: -5, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 + j - j**2 - j + (-14*j**2 + 9*j**3 + 14*j**2)*(0*j - 4*j + 2*j).\nAnswer: -16*j**4 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.206 take away 1808.42?\nAnswer: -1802.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j - 2*j - 10*j - 16*j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -1)\/(8\/12). Which is the third smallest value? (a) -16 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400) + sqrt(400)*-2)\/(sqrt(5) + (sqrt(605)*-2 - sqrt(605) - sqrt(605)) + sqrt(5)) + sqrt(10)\/(-1*sqrt(288))*3)**2.\nAnswer: 845\/7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2*k = 4, -98*w + 14 = -102*w + 2*k for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 328 and 408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 625 + -644.028. Let q = -19 - g. Let w = q - 39.028. Which is smaller: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -1.6, -3, -1.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009162182651 to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -882*h**2. Let f(s) = 10*s + 13*s - 28*s + 6*s. What is l(f(d))?\nAnswer: -882*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 - -17.4.\nAnswer: -92.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w = 5*g + 24, 5*g = -25. Let m be (15\/6 + w)*2. Suppose -5*x + 7 = -t, -5*t = -3*x - 2 - m. Calculate the least common multiple of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 183*q + 3788. Determine h(24).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9001766, -18003536, -27005306, -36007076, -45008846, -54010616?\n\"Answer: -9001770*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 8:59 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14873354?\nAnswer: 2, 167, 44531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(4\/9))\/t**21*(t**(-2\/123)*t)\/(t\/t**(-11)) assuming t is positive.\nAnswer: t**(-10912\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1457.468 + -1460. Round g to 1 dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2405500139 to the power of 1\/2, to the nearest integer?\nAnswer: 49046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*t + 24, 0 = 2*t - 3*t - 4*w + 6. Let k(m) = 4*m**2 - m + 1. What is the least common multiple of k(1) and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*a**3 - 187 + 187)*(6*a - 4*a - 3*a) + 3*a**2 - 2*a**4 - 3*a**2 + (-4*a**2 - 2*a**4 + 4*a**2)*((-3 + 3 + 2)*(1 + 2 - 16) + 0 - 4 + 3).\nAnswer: 33*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -252422\/3 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -297 - 123. Let x = b + 425. Solve -5*o + 0*v + 3*v + 25 = 0, 0 = x*o + v - 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72092970?\nAnswer: 2, 3, 5, 83, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-15))**(-8)*(h**(2\/81)*h)\/(h\/h**(-30\/7)) assuming h is positive.\nAnswer: h**(65624\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41 - 22 - 4)*(-5 + 3 + 3)*(3*w**2 + w**2 - 3*w**2) as h*w**2 + s + t*w and give h.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*b - 56*b + 18*b + 15*b as h*b + q and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -0*z - 63. Suppose -3*h + z = 6. Suppose 5*v - d - 27 = 0, 2 - h = -v - 3*d. Solve 0 = v*i + 2*y + 6 - 4, i = 5*y - 22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72020604 + -6974?\nAnswer: 72013630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + d - 2. Let m be x(-3). Find h, given that m*h**3 - h**4 - 2*h**4 + 5*h**3 - 3*h**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, t: 7, y: 4}. Give prob of picking 1 y and 1 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = -2*s, 0 = -4*v + 3*v + 4*s + 29. What is the remainder when v is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8741.191 centuries in months?\nAnswer: 10489429.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1510615, 1510611, 1510605, 1510597?\n\"Answer: -t**2 - t + 1510617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 25*i - 42. Let u be c(17). Is u less than 94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/9 + 172\/(-3). Let c = 84 + x. Calculate the remainder when 77 is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*k + k**3 + 202*k.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (140\/(-84))\/((-1)\/3). Suppose -19 = -u*l + 1. Solve 4*b + l = -4*g, -3*g + 6*g + 2*b = -4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1006*n + 1026*n = 680 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 15 + 15 = -20 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1684529 to three decimal places.\nAnswer: 0.168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10277 + -323645.\nAnswer: -313368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*d - 180, -d - 3*w = 2*w - 45. Suppose 2 = -2*b + 12, -x - 4*b + d = 0. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.468 + 0.668. What is the nearest to h in -2, 9\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**3 + 3*k**2 + 11*k + 12. Let f be p(-3). Let w = -78 - f. Put -5, -4, w in increasing order.\nAnswer: -5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 8 = -9*l. Let x(v) = 2*v**3 + 37*v**2 - 2*v - 111. What is the least common multiple of l and x(-18)?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175696 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((14 - 24) + 12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**4 - 1\/3*n + 1\/3*n**3 + n**2 + 0 = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 5*x - 3. Let h be y(-4). Let l(s) = -s**2 - 7*s - 3. Let u be l(h). Calculate the remainder when 3*4 + u + 4 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 2*u + q + 20, -2*u + 2*q = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-5*-1*sqrt(45))\/(sqrt(45)\/(-1*sqrt(5))) - (sqrt(25)\/sqrt(5)*-6 - (sqrt(5) + 1)*-6)**2).\nAnswer: -36 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2450927, 4901837, 7352749, 9803663, 12254579, 14705497, 17156417?\n\"Answer: a**2 + 2450907*a + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 40*l + 21*l - 49038. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/120 and -52\/21?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4791, -37797, -127065, -300633, -586539?\nAnswer: -1012821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 263023019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82 - -28. Which is the biggest value? (a) 0.4 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-12)*27\/(-18)*(-1)\/(-3)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t. Let m(n) = 2*n. Let l(k) = 2*m(k) - 2*u(k). Let s(w) = -29*w + 7*w + 7*w. What is l(s(o))?\nAnswer: 30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**4 + 6*v**4 + 23*v - 21*v)*(2 - 3 - 2).\nAnswer: -21*v**4 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -239*w**5\/5 + 22*w + 89. Differentiate f(m) with respect to m.\nAnswer: -956*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1454695390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**5 - 159*p**4 - 17214*p**3 + 1011456*p**2 - 2875392*p = 0.\nAnswer: -78, 0, 3, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4331 and -0.52?\nAnswer: 0.225212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-8)*g*(g*g**1\/g)\/g)\/(g\/g**(-2)*g)**(-3\/17))**(2\/15))**(2\/49) assuming g is positive.\nAnswer: g**(-428\/12495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q + 11. Let j be y(3). Let o(t) = -3*t**3 + t**2 + 3*t - 1. Let i be o(j). Let s be (1\/3)\/((-5)\/i). What is the nearest to s in -0.1, 1, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + 10*r**2 + 20*r - 20*r + (-2*r + 0*r + 3*r)*(r**2 - 3*r**2 - 3*r**2).\nAnswer: -4*r**3 + 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = p + 2*x, -5*x + 16831 = -5*p + 16816 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1997 rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 80 + 350 = 0. What is the least common multiple of (9\/6)\/((-6)\/(-8)) - p and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 2. Let a be t(0). Suppose 24 = a*z - 64. Suppose 6*w - 2*w - 4*g = z, -32 = -3*w + 2*g. Solve w = -l - l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3133 + 40576?\nAnswer: 43731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1303 is divided by 103?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.054?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 10 = 2. Suppose 3*l - 1 = -m. Let r = 0 - -1. Is r less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 142.567 in 2\/3, 5.1, 0.3, -5?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 0*v + 2 + v)*(202*v**2 + 2585 - v - 101*v**2 - 100*v**2) to the form a*v**2 + t*v**3 + j + f*v and give f.\nAnswer: -5172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*3\/(-4)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/37432720 and -101\/71122168.\nAnswer: 711221680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -9, 1, 0.4, 0.26, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f**2 - 111*f**3 - 8*f**2 + 8 + 110*f**3. Let n be r(-15). Solve 2*h = 5*l - 16, h + 3*h = n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from tqqttqahtqaaqmqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, q: 6, e: 7}. What is prob of picking 1 e and 2 q?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -461. What are the prime factors of d?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 1693, 0.067?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a week in hours?\nAnswer: 476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/78? (a) -10 (b) 5\/3 (c) 1\/5 (d) -0.3 (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4157696 divided by -4768?\nAnswer: -872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r - 36*r = 3*y - 18, 3*y + 3*r = -6. Suppose o = 2 - 4. Let p be (y*o\/(-44))\/(4\/(-8)). Which is the closest to 3\/4? (a) -0.3 (b) -0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -79?\nAnswer: -31.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(6*-1*sqrt(1872) + ((sqrt(1872) - (1 + sqrt(1872)))*-6 - sqrt(1872))))**2.\nAnswer: -4032*sqrt(13) + 367056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*l + 6*y - 10*y - 107 = -130 + 308, -6*y + 25 = l - 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18200 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222 + -320303?\nAnswer: -320021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - (-2)\/5. Let j = 50 - 48. Find the third derivative of -j*h**6 - 3*h**2 + 10*h**6 - 4*h**6 + a*h**6 wrt h.\nAnswer: 480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/13212528 and 23\/8808352?\nAnswer: 26425056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**2 + 889 + 379*q + 77*q + 639 + 315 wrt q?\nAnswer: 4*q + 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iilppippeleileilbl. What is prob of sequence eepi?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 - 0.3. Let x = -0.5486 - -0.0486. What is the closest to t in x, -3\/4, 7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 12*m**4 + 10*m**4 - 3*m**3 - m**3 - 27 + 2*m**3 + m**2 in the form p*m + s + k*m**4 + o*m**3 + c*m**2 and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 10*w**2 - 9*w. Let p be k(9). Suppose p*t = 2*t - q - 4, 3*q + 12 = -5*t. Let s(h) = -h**3 - h**2 - h - 2. Determine s(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/(1*33\/11).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1308 and 110382120.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1500.381 - -0.1529.\nAnswer: -1500.2281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 53 - 71*y**2 + 110.\nAnswer: -71*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 170 + -154.9. Let v = x - 15.09921. What is v rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -k - 2*t, -2*k + 1802*t = 5*k + 1804*t + 24 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l - 76. Let j be s(8). What is the common denominator of 35\/j + ((-60)\/6 - -9) and 8\/45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 1 = -4*a + 39, -2*f = 98672 - 98668 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*l - 4*h, 3*h = -l + h - 3. Suppose -w = 4*g - 140, -l*g + 2*w + 128 = -3*w. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 7*w. Let l(a) be the first derivative of -17*a**2\/2 - 566. Calculate r(l(f)).\nAnswer: 289*f**2 + 119*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180349.\nAnswer: 41, 28789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 471833191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -486621466 smaller than -486621466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 139538 + -a0?\nAnswer: 139458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2828 - 1353 - 1475 + 48*n**3.\nAnswer: 48*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -40, -2, -3, 16 in descending order.\nAnswer: 16, -2, -3, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1821 = -10*j + 1469. Calculate the greatest common divisor of j and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 468 or 465?\nAnswer: 465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r. Let h = 1357 - 1362. Sort -3, 3, h, r in descending order.\nAnswer: 3, r, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*l = 4 + 2, 5*k = 4*l + 3. Let o be k\/(3 + (-64)\/20). Which is the nearest to -0.06? (a) o (b) 7 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80660071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v - 21. Let o(u) = -4*u + 40. Let c(a) = -4*o(a) - 7*z(a). Let j(t) = 4*t + 1. Let h(b) = c(b) + 3*j(b). Let g(l) = 3*l - 5. Give 9*g(w) - 4*h(w).\nAnswer: -w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + t = 724, -3*s - 2*t + 839 = -249. Does 24 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 52*k + 1. Let l(b) = b. Give -6*l(h) + z(h).\nAnswer: 46*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-30)*-5*9 - 1. Is (-946)\/(-12) + 1 - v\/(-12) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*j + 69. Let x = j - 16. Suppose 30 = 2*z + x*m - 3*m, 5*z + m = 39. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 158 + -156. Let y(m) be the third derivative of 1\/24*m**4 + 0 + 0*m + m**d - 1\/6*m**3. Differentiate y(o) wrt o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100000000010011 - -1101?\nAnswer: 101100000000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -320 - -1540. Calculate the remainder when c is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 529162 = -4*z + 529154, 9 = -3*z - 4*a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + (2 + -3 + sqrt(1872))*5.\nAnswer: -4 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129642 by -43214.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38237759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(5) - sqrt(5)))**2*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 57, 1.\nAnswer: -8, -1, 1, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2 + b. Let t be y(3). Suppose -t = 4*l - l. Let r be ((-22)\/55)\/(2\/l). Solve -r*f - 3*m = 19, -3*f = f + 2*m + 26 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633645 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5737297183.5 and -1011?\nAnswer: 5737296172.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k = 0. Suppose 2*a = 14*a - 192. Suppose 4*w - 4 - a = k. What is the remainder when w is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 156 = 3*w. Suppose -g = -4*x + w, -6*x + 4*g = -x - 54. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)\/(sqrt(81)*-1).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -60\/11*a**4 - 4\/11*a**2 - 6\/11*a + 182\/11*a**3 + 0 = 0.\nAnswer: -1\/6, 0, 1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**3 + 4807*a**2 - 5605*a?\nAnswer: 18*a + 9614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -265*d**2 + 97*d wrt d?\nAnswer: -530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3077, -5598, -8119, -10640, -13161, -15682?\n\"Answer: -2521*f - 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*q - 7*q - 12 = 0, 0 = -3*g - 3*q + 6. Let h(d) = 22*d**2 + 7*d - 2. What are the prime factors of h(g)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from cccxccxcxccccxcx?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from knleklbnlbkq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 153.\nAnswer: -2, -1, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/630 + m**4\/252 - 2*m**3\/63 - 2*m**2 - 15*m. Let s(c) be the first derivative of r(c). Let s(b) = 0. What is b?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**8\/336 + z**7\/70 - z**6\/40 + z**5\/60 - 4*z**2 + 9. Let v(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 63 + 49. Suppose -5*w - 399 + 479 = 0. Suppose o = 32*b - w*b. Solve k + b = 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 9. Suppose -5*g = -5*o + 60, -3*o + 4*g = -0*g - 37. Let k = -16 + o. Let m be l(k). What is the greatest common divisor of m and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 3*m**2 - 40*m + 6. Let i be o(10). What is the highest common factor of i and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 4. Let p(z) = 1. Let m(l) = -3. Let j(n) = m(n) + 2*p(n). Give 2*j(b) - q(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 52, 68, 84?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2535*q**3 - 74*q + 74*q.\nAnswer: -2535*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -42895600 rounded to the nearest one hundred thousand?\nAnswer: -42900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -175214243.7000047 - -175214233. Let g = v - -10.7. What is g rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4164 = 11*b. Suppose -1 = -7*f - b. Let k = -71 - f. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + x - 7037 = 0, 4*d - x = x + 5624. What are the prime factors of d?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000 divided by -200\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-2)\/12*-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 9 - g**3 + 16 as t*g**2 + y*g**3 + o + h*g and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 323 + 110. Let b = 7359\/17 - j. Let y = 5 + -5.3. What is the nearest to y in 3, -0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - s + 2. Let n be u(0). Let f be 0\/n - (3 - 4). Is (0 - f) + 14 + -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.07, 2\/5, 1472, 2, -0.7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 263 = -83. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 + 2 - 6*o**3 + o**4 + 1 - 2 + o**2 to s*o**4 + n*o + z + f*o**2 + h*o**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x**2 - 5*x - 4. Let q(g) = -g**2 + 7*g - 1. Let z be q(6). Let f be z*((1 - 1) + 1). Let c(w) = -6*w**2 - 4*w - 3. Calculate f*c(t) - 4*v(t).\nAnswer: -2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 129*t**3 - 221*t**2 + 6*t - 2. Let c(d) = 386*d**3 - 664*d**2 + 21*d - 7. Let r(j) = -2*c(j) + 7*v(j). What is the third derivative of r(u) wrt u?\nAnswer: 786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 148\nAnswer: 148.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*c - 6600 - 4363 = 4723. Solve 499*y = c*y + 35 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/((-15)\/(-9)) + -1. Solve -i = -2*r + r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*w**2 - 3555*w - 157975 = 0. Calculate w.\nAnswer: -89, -355\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 + 2454. Let w(h) = -3*h. Give l(w(o)).\nAnswer: -18*o**2 + 2454","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 82823 (base 12) in base 11?\nAnswer: 107131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 35999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 50?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39039853 and -0.24?\nAnswer: 9369564.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 132 + 204 = 3*c, 0 = -h + 3*c + 177. Let u = -936 - -955. Calculate the greatest common factor of u and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625488 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 33 = -45. Suppose 3*j + 52 = 5*u, -j + 9 = 2*u - s. What is the remainder when 20 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 27. Solve -2*w + 2 = 2*f, -3*f - g*f - 22 = -4*w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = -3*v + q, -16 = -4*q. What is the third derivative of v*f**2 + 2*f - 3*f + 2*f**5 + f wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 12) in base 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20, -2\/141, 1, -2\/45?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36\/162 - 320\/(-18). Suppose -5*x - 1 = -2*y, -2*x - x = 5*y - m. Solve -3*w + 4*w + x = -3*a, -4*a - 33 = -5*w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 24*x + 27*x - 47*x + x**2 + 102. What are the prime factors of q(0)?\nAnswer: 2, 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) 3 (b) 1\/8 (c) -0.08 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -112532?\nAnswer: 112521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*2 - ((0 + sqrt(7))*-1)**2 - -4*6*(sqrt(56)*4 - sqrt(56))\/sqrt(8).\nAnswer: -7 + 92*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqsp when four letters picked without replacement from wpwwwwwqwswwwwwswqq.\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/36154 and -26\/3.\nAnswer: 108462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5480566 centimeters to meters.\nAnswer: 0.005480566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753 = -15*d + 798 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0.5 (c) 282.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**3 - r**2 + r + 1. Let z(h) = -h - 10. Let f be z(-8). Is o(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -15*n + 35. Suppose 2*u = -2*l + 14, 2*u + 6 = l + n. Solve 3*x = u*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -743 - 217 = -5*t. Suppose -5*w = -w - t. Let a = w + -11. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*o - 33*o + 8360 = 0. Let m = -425 - o. Calculate the highest common factor of m and 465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 378569870 and 7220.\nAnswer: 3610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-18))\/2*0. Solve h = 5*a - 3*a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 943*d - 947*d - 2, 0 = -t - 4*d - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (189\/(-525))\/(6\/(-10))*5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 8:42 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, a: 1, d: 6, u: 1, m: 3}. Give prob of picking 1 m and 2 d.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -60a37 + -5?\nAnswer: -60a3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -13*a + 5. Let m be f(-7). Suppose 4*s - 352 = -m. Suppose 3*v - s = 8. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 33 + 15. Let w be 6\/(-4)*(2 - z). Solve -6*f = -f - w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28033 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**3 + 5*s - 14. Let o(r) = 4*r**3 + 6*r - 15. Determine -6*f(d) + 5*o(d).\nAnswer: 2*d**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 9 = -3*y + 3, -31*h = y + 2*y + 87 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(637)*-2 - sqrt(143)\/(sqrt(11) + sqrt(176))).\nAnswer: 213*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 + 2*l**4 + 0*l**4 + (-6 + 125*l + 6 - 4 + l + 4 + (3 - 2 - 3)*(l + 5*l - 4*l) + 3*l - 4*l + 0*l)*(2*l**3 + 0*l**3 + l**3).\nAnswer: 366*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 34615.\nAnswer: 34615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 44.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 (base 12) in base 16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12205092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 11*o - 6 + 4*o - 13*o. Suppose 4*h + j + j = 14, -h + 8 = -j. What is u(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2))\/(1\/10). Suppose -5*w + 3*z = h, -z + 25 = 3*w + 4*z. Suppose w = -4*s + 643 - 183. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 5*d + 2. Let u be k(5). Let w(v) = 8*v - 5 - u*v + 2*v**2 + 1 - 3*v**2. Calculate w(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 94*v + 12*v**3 - 94*v + (8 - 11 + 8)*(-5*v**3 + v**3 + 0*v**3).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 - 136*o**2 + 144*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2 - 19374*v - 1483976 = 0. What is v?\nAnswer: -76, 9763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1690)\/21125 + (-38)\/150.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 441564410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74471.481 milliseconds to days.\nAnswer: 0.0008619384375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 10 = -0. Sort -4, 2, s in ascending order.\nAnswer: -4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 1 - (-194)\/(-12*50\/(-570)). Which is greater: 185 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + u**2 - u. Let b(s) = 3*s**3 + s + 2. Calculate -b(c) - f(c).\nAnswer: -2*c**3 - c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d + 13. Let q be -2 + (6 - 2) - 7. Let n be s(q). Suppose -2*a - 5*x = -x - 92, -n*x - 56 = -a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 2*z - 3. Let m be t(-4). Let c be (-4)\/7 + 20\/35. Suppose -2*w = -c*u - 4*u + 14, -2*u + 1 = 5*w. Sort u, -2, m in descending order.\nAnswer: m, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**5 + 165*b**4 - 726*b**3 - 1236*b**2 + 1800*b = 0. Calculate b.\nAnswer: -2, 0, 1, 6, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 1687 = 4265. List the prime factors of n.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 16 = -4*b + 20, -15*g - 116 = 5*b + 259 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1091*v**2 - 1082*v**2 - 69*v**3 + 152*v**3 - 86*v**3 + 2173*v**2.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75805423.\nAnswer: 53, 1430291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37294 is divided by 731.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3202100 (base 4) to base 12.\nAnswer: -8468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358183348.\nAnswer: 2, 89, 1006133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o = -6*o - 216734. Suppose -12*l + o = 4225. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(-2 - 2 + 14)*(5*r**3 - 4*r**3 + 3*r**2 - 18*r - 2*r**3).\nAnswer: -30*r**3 + 90*r**2 - 540*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -151 - -85. Let a = p - -144. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -25*a + 6. Let r(v) = v - 1. Let p(l) = -g(l) - 6*r(l). Let w(k) = -2*k. What is w(p(m))?\nAnswer: -38*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2 - 31630*y = 0. Calculate y.\nAnswer: 0, 31630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 16*w + 41750 = 0. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**4 + 5619*c**3 - 1599354*c**2 + 30289380*c - 148607400 = 0.\nAnswer: -2126, 10, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 204*a**2 + 46132*a - 136452.\nAnswer: -4*(a - 83)*(a - 3)*(a + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 2*k + 7*k**2 - 6*k**2 + 2*k.\nAnswer: 4*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.6 + -1.7. Let i = 23.5 - 9.2. Let r = -15.7 + i. Are r and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - 2*sqrt(3))**2*-2 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkqi when four letters picked without replacement from {n: 1, i: 2, y: 1, u: 1, q: 1, k: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 4*m**2 + 1. Let r be s(-4). Let w(p) = r - 8*p - 4 + 7*p. Let z be (-99)\/44*(-12)\/(-9). Give w(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4266?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (29 - -77) + (1 - 5). Let i = 99 - u. Calculate the remainder when 16 is divided by (-2)\/(-3) - (-1 - (-37)\/i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from haihlwpli?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2145 and 30.04.\nAnswer: 30.2545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4134*n**2 + 3*n - 5. Give x(1).\nAnswer: -4136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 11:19 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - i**2 - 2982*i**3 + 458*i**3.\nAnswer: -2524*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4942467\/80 + -61780. Find the common denominator of h and -149\/168.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/80 and 9069\/(-10752) - ((-624)\/56)\/13.\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77\/249 - -2\/83. Let g be (-10)\/(-15) + ((-12)\/(-18) - 1). Factor -g*l**4 + 0*l - 1\/3*l**3 + 0 + r*l**5 + 1\/3*l**2.\nAnswer: l**2*(l - 1)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -196368 + 196368 - 6*x + x**2. Give a(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8567 - 8571. Which is the third biggest value? (a) s (b) 61\/5 (c) 0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**3\/5 + 151476*w**2\/5 - 286948512*w + 2580083280 = 0?\nAnswer: 9, 18930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 9. Let n = 22 - 16. Let j be w(n). Let k be -1 + -1 - (j - -1). Sort k, 1\/3, -0.4.\nAnswer: -0.4, k, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**9\/756 + g**6\/360 - g**3\/3 + 4. Let x(c) be the third derivative of w(c). Find the third derivative of x(k) wrt k.\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4367641\/3 >= 1455880?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 55821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*g**4 - 10*g**3 + 0 + 4*g**3 - 2526*g + 2 + 2526*g as d*g**4 + h + s*g**2 + p*g**3 + y*g and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*c = 110*c - 1024. Determine y so that -4\/9*y**5 - 2\/9*y**2 + 0 - 2\/9*y + 2\/3*y**3 + 2\/9*y**c = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*m = -2*m + 6, -3*r - 2*m + 2 = 0. Suppose -3*t = 3*x + 85 - 115, -2*x + 11 = -t. Calculate the highest common divisor of x and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*6*(-65)\/(-273) - 2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -13 + 11 + (0 - -10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 - (-520)\/(-100) - 34392\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 66\/88 + 204\/120 and -77\/51874.\nAnswer: 518740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83\/(5312\/320) + (-137)\/27\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 15) to base 9\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-4) + (-204)\/22. Let s = -1062\/143 - t. Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 481.4449 kilograms?\nAnswer: 481444900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -7*d + 127*d**5 - 124*d**5 - 18*d**3 + 24*d**2 - 2*d = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + t**2 + 11*t**2 - 17*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a*a**2*a*a))**40\/(a**(2\/47)\/a**(-9)))**(-2\/77) assuming a is positive.\nAnswer: a**(2270\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 109570*m - 657492.\nAnswer: 2*(m - 6)*(m + 54791)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -26, -52, -78, -104, -130, -156?\n\"Answer: -26*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07 + 0.07. Let i = m - 0.14. Which is the closest to 0? (a) 2 (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92861 - 0.03.\nAnswer: -92861.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - 32*d - 36. Calculate k(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, g: 13}. Give prob of picking 2 k.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**5\/20 + 5*g**4\/12 - g**3\/6 - 3*g**2\/2 + 3*g. Let a be c(-5). Suppose -27*w = 2*w - 58. Solve w = -a*t + t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 13*u - 16. Give i(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-200)\/(-70) + -3)*4)\/((25 - 42)\/4522).\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -12. What is the units digit of 11\/33 - (-106)\/q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -6*j - 2*g - 55, j - 4*g = -27. Are 34\/373 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**3\/6 + x**2\/2 + 3*x + 1. Let r(w) = 3*w + 2. Calculate -10*l(t) + 6*r(t).\nAnswer: 8*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d**2 - 193*d - 26. Let v(n) = -2*n**2 + 39*n + 31. Let t be v(21). Let p be u(t). Solve w + p*s - s - 8 = 0, w - s = 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g*l**4 - 2599*g*l**2 + 14*g*l + 2*g - 1418033*l**4 - l**2 + 1 wrt l?\nAnswer: -72*g*l - 34032792*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 1. Let w(d) = -11*d**2 + 2*d + 6. Let y(x) = -5*h(x) - w(x). Let b(o) = -15*o**2 - 2*o - 1. Let s(n) = -2*b(n) + 2*y(n). What is s(1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202122394 to the power of 1\/3, to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1175 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + j + 0)*(-3*j - 2*j + 3*j) + j - 4*j**2 + j + 2*j**2.\nAnswer: -4*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.03 (b) -1\/4 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.10594ng in milligrams?\nAnswer: 0.00006610594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6517 + -5759. Calculate the remainder when b is divided by 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*v - 81 = -160*v. Solve 0 = 20*h - 11*h + v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*n - 10*n - 110808 = 0. List the prime factors of n.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4083.\nAnswer: 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3197329 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002963 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2\/5 + 104*q\/5 + 448\/5 = 0. What is q?\nAnswer: -4, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c = -2*c, 0 = 3*g + 3*c - 18. Let s(r) = -6*r - 11 + 2*r**2 - r**2 + 0. What is the smallest common multiple of g and s(9)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (43 + -69 - 2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + (11 - (7 - 1)). Is 63 a factor of 2 + 398\/(4 + v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*7*18\/84?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o. Let x(u) = -461*u + 149*u + 139*u - 3. Calculate a(x(k)).\nAnswer: 173*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663.6711 nanometers to centimeters.\nAnswer: 0.00006636711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 981*o**2 + 113475*o - 19551. Give b(-847).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.51 + 5.494. Let n = 0.45 - i. What is n rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and 909.\nAnswer: 54.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*w + 101 = 0, -53 = -2*o - w - 4*w. Let h = o + -4. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 - 318*d + 233. Calculate r(90).\nAnswer: -4087","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 86*r**2 + 53*r - 52. Let j be c(1). Suppose 0 = 5*q - 33 + 8. Suppose -q*d = 17 + 8, -3*k + j = -3*d. What is the highest common factor of 16 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 186, -1\/4 in increasing order.\nAnswer: -1\/4, 5, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 26*g + 12. Let q(v) = 2*v + 3. Let b(z) = -l(z) + 4*q(z). Let a(x) be the third derivative of x**5\/60 + 7*x**2. Calculate a(b(h)).\nAnswer: 324*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 534 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -171349, -171308, -171241, -171148, -171029?\n\"Answer: 13*b**2 + 2*b - 171364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 31 = -25. Solve -2*i + j*i - 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.93 + -0.07. Let w be ((-20)\/55)\/(1 - 3). Let t = 24.41 - 24.61. Which is the fourth smallest value? (a) w (b) n (c) -6\/11 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14272097 and 532?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 4*u + 2. Let x be f(2). Let o be x\/7 + 120\/28. Let m(t) = t**2 + 6*t - 3. Is m(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 594 divide 1060036730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51624.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28396676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 36582552?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -43*z - 101150 + 459638. List the prime factors of z.\nAnswer: 2, 13, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10032*n**2*p + 4*n**2 + 11*n - 37*p**3 + 14411 wrt p?\nAnswer: 10032*n**2 - 111*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 930 - 912. Let l(s) be the third derivative of -1\/30*s**5 + 0*s**t + 1\/6*s**4 - 2*s**2 + 0 + 0*s. Find the second derivative of l(m) wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 20*c**2 - 10*c - 195. Let g be s(-20). Solve g*n = -12 + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 - -57.3. Let x = 1.3 - -0.5. Let w = x + r. What is the nearest to 0 in -3, 0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -28 + (-54 - (107 + -106))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-3 - -10) - 3 - -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2656040111 + -3?\nAnswer: -2656040114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2450442*h**3 + 1031835 wrt h.\nAnswer: 7351326*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(357\/102)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k + 8*k)*(-2*k - 2*k + 2*k - k - 2*k + 4*k + (-k + 6*k - 3*k)*(-2 + 4 + 0) + 1 - 1 - k - k - 2*k + 5*k + 2 - 2*k - 2 - 1 + 2*k + 1).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-264)\/176 + (-338)\/4. Which is greater: -90 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22833 and -69829.9285?\nAnswer: 46996.9285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 1167784?\nAnswer: 5838920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -14*c**2 - 7*c - 7. Let o(r) = -5*r**2 - 2*r - 2. Let n = 10371 + -10365. Calculate n*w(s) - 21*o(s).\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*d + 7 + 3, -28 = -2*q - 2*d. Let i be (-4)\/(-24)*q + -2. Is i greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (6 - 5 - -3) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 149389834, 298779680, 448169526, 597559372?\n\"Answer: 149389846*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39744 and 12972.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128b (base 13) to base 16.\nAnswer: a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3167 + -3166.6. Sort k, 4, -28 in increasing order.\nAnswer: -28, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1014 - 1021. Is q greater than -146\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272836 is divided by 1404?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4))\/((-12)\/(-944)). Let i(g) = -g + 8. Let d be i(13). What are the prime factors of y\/d - 15\/25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*n + 4*n - 32 = 0, 12 = -4*n. Suppose 0 = -t*v + 17*v - 25. Put v, 2\/11, 1\/3, -1 in decreasing order.\nAnswer: 1\/3, 2\/11, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/10522650 and 37\/1770885?\nAnswer: 726062850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogo when three letters picked without replacement from oxgxxggxo.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (464\/156 - 3)*6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 161 (base 8) to base 14\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3*z = 53, -5*v + 3*z - 48795 = -48841 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + q + 1. Let f be (1 - 0)*(2 + (-3 - -2)). Let k(x) = -x**3 - 2*x - 2. What is f*k(i) + 2*b(i)?\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789128 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 41 (b) 2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*w + 342 - 102. Let d be (-1134)\/(-10) - ((-24)\/w - -1). Let q = d - 110. Solve -j + q*j = o - 19, -j - 3*o = -7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/23 or -1\/19?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43.211 - -43. Let g = a + 0.2764. Round g to three dps.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1674016 litres in millilitres?\nAnswer: 167.4016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18979143.\nAnswer: 3, 6326381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8*2\/(-2))\/((-10)\/25). Suppose 0 = -h*j + 22*j - 20. Suppose 0 = j*i + i - 2*i. Solve 5*v = -5*u + 15, i*v - 4 = -2*v - 3*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408860?\nAnswer: 2, 5, 20443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.63756 rounded to 2 dps?\nAnswer: 8.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 2 + 11 - 8*k**2 + 6*k**2 - 9*k**3.\nAnswer: -9*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1454 + 123.1546. Let c = 113 - m. Let i = c + -1.2. Round i to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4304.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*z = -239, -3*x + 3*z + 0 = -177. Calculate the lowest common multiple of x and 84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 103*z**4\/6 + 34505*z**2. Let y(w) be the second derivative of -w**4\/6 + 3*w. Give i(y(j)).\nAnswer: -824*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -481, -966, -1453, -1942, -2433, -2926?\nAnswer: -3421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1241023 - 0?\nAnswer: -1241023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9152 - 401*q**3 + 388*q**3 + 13015 - 25*q**4 wrt q.\nAnswer: -100*q**3 - 39*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -55, 5, 61, 0.028, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 - 5*d**2 + 19*d - 30. Calculate the remainder when v(-16) is divided by 140.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 355316 and 728.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x = -33. Let n(w) = -31*w + 5*w + 14*w + x*w + 9. Let c be n(7). Let j(o) = o**3 - o**2 - 2*o + 1. Determine j(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.418143736 from -1573.\nAnswer: -1572.581856264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9520 (base 15) to base 8.\nAnswer: 75452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 8, 11*s - 3*h + 3*h + 47 = -2*s - 2*h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*j + 10680 = 0, 2*a - 5*j = -0*j + 7114. Let x = a + -1958. Let h = 22487\/14 - x. Find the common denominator of 3\/8 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3655, -3565, -3481, -3403, -3331, -3265?\n\"Answer: -3*j**2 + 99*j - 3751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2485\/(-15225) + 1284\/(-12412).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 4764?\nAnswer: 14292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/56)\/((-14250)\/400).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -132334214 (base 5) to base 16\nAnswer: -a319b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - p**2 - 1 + (2 - 2 + 1)*(p**2 + 2 - 2) - 3 - 2*p**2 + 3 + 38 - 38 - 5*p**2)*(4 - 4 + 3*p - 4*p + 4*p + 2*p + (5 - 3 - 1)*(2 + 2*p - 2)).\nAnswer: -49*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**8\/6720 - k**7\/630 - k**6\/120 - k**5\/40 + 5*k**4\/24 - 2*k**2. Let a(f) be the second derivative of d(f). Give a(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*w + 4*w + 10*w)*(-2*w + 0*w + w).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -67*u**2. Let p(l) = -22*l. Give p(b(y)).\nAnswer: 1474*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 47 + -13 + -17 + -52 + (4 - 7)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30 + 17 + 23)*(7 - 31*l - 7)*(0 + 4 - 3) to the form t*l + n and give t.\nAnswer: -2170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 25 = -f + 6*f, z + 3*f - 15 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2 = -4*t + 4, 2 = -t - 2*v. Suppose 3*r = n - 2, -3*n - 5*r = t*n - 10. Which is the closest to n? (a) -0.3 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(5\/3)*v*v**9)\/(v*((v\/v**(-5\/7))\/v)\/v*v\/v**39) assuming v is positive.\nAnswer: v**(1049\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97726955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75835 - 75834. Let v be 0*2\/(2 - 4). Let i = v - -1. Solve 2*k - t = i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0718 - -0.0953. Round h to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 * -227276.\nAnswer: 50000.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3256092 by 30149.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m + 0*m + 2*m + (-5 - 3*m + 5)*(4 + 1 - 4) + 2 - 2 + 7*m + (1 + 0 + 0)*(-3*m - m + 3*m) - 4*m + 0*m + 2*m as r*m + b and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*n**3*o**3 + 47*n**3 - 304*n - 145*o**4 wrt o?\nAnswer: 39*n**3*o**2 - 580*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - -56 - (3 + 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.301483 litres in millilitres?\nAnswer: 6301.483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -73*z**3 + 7*z**2 - 9*z - 3. Let i be a(3). Let y = i + 3307. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1090, 1012, 790, 352, -374, -1460?\n\"Answer: -12*i**3 + 6*i + 1096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 5:14 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4 - 9 = 3*f, -7*f + 6*f - 8 = f + 3*j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**4\/g*g))**(-7\/12)\/(g\/((g*g**(-9\/5))\/g))**14 assuming g is positive.\nAnswer: g**(-1141\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514*q + 5409 = -8469 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.85*-9384.\nAnswer: 7976.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 1 = -h. Let f(j) = -1 + 191*j + 0 - 5 - h. Let w be f(7). Round w to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22931 + ((-5)\/(-4))\/(((-52)\/16)\/(-13))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143 - 141. What is the nearest to 3 in f, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6347)\/75010*(-1080)\/264?\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71254880 is divided by 71254871.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, t: 1, w: 1, o: 6, b: 3}. Give prob of picking 1 p and 1 w.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + i**2 - 5*i + 7. Is o(5) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.083 - 0.106. What is c rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -455396 divided by -9.\nAnswer: 455396\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 4138879 and 4138884 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**3\/3 + 11*b**2\/2 - 738. What is y(5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 133 - (-10 + 9)*3. Let b = 245 - k. Let o = -128 + b. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519171776?\nAnswer: 2, 47, 172597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21, 1, -3.84, 11, -520?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (10 + -32 - 21).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 + 0*d**3 + 3*d**3 + (-4*d**2 + 0*d**2 + 3*d**2)*(1 + d - 1) - 16*d**3 - 15*d**3 + 14*d**3 - 2*d - 1006*d**3 + 8*d**2 + 1012*d**3 - 22*d**2.\nAnswer: -10*d**3 - 14*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 3\/1 + -3. What is the units digit of (7 + s)\/(4 - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*h = 69, 7*r - 3*r - 4*h = 48. Let t be (-471)\/(-2) - 81\/(-54). Suppose t = 16*v + 29. What is the greatest common divisor of v and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10852640.\nAnswer: 2, 5, 67829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1458) - (sqrt(1458) - (sqrt(1458) - -2*sqrt(1458))))*-1)\/(sqrt(600) + sqrt(600) + 2*sqrt(600)*-4) + -5.\nAnswer: -5 + 9*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h**2 - 13*h**2 + 0*h**2 + 304*h - 3*h**2 - 129*h**3 + 26*h**3.\nAnswer: -103*h**3 - 2*h**2 + 304*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/((-64)\/(-53934)) + (-2)\/(-16).\nAnswer: 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347324*j = q + 347327*j - 57, -3*q - 109 = -5*j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -182? (a) 0.3 (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 4 = 2*f. What is the lowest common multiple of (1\/2)\/(8\/192) and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 768.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 4 + 0 + 6)*(35*z + 29*z + 43*z).\nAnswer: -107*z**2 + 214*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116 and 636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g. Suppose 4*b - 6 = 2*b, b = 3*j. Let n(d) = -d**2 - 2*d. Let m(u) = j*n(u) + 2*r(u). Let f(z) = 6*z. Give f(m(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7140.\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005 != 916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30.8 - -31. Suppose -2*s + 36 = -7*s - 4*b, 2*s + 2*b + 16 = 0. What is the third biggest value in 1\/4, g, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 563999, 2255988, 5075969, 9023942, 14099907?\n\"Answer: 563996*v**2 + v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*b - 73*b - 14*b - 1639*b - 1553*b.\nAnswer: -2979*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/3)*u)**(-9\/7) assuming u is positive.\nAnswer: u**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 434 - 223. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, 5, -4, 3, -114244, 6 in descending order.\nAnswer: 6, 5, 3, 1, -4, -7, -114244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-18))\/(4\/(-6)). Let u = 23.5 - 23. Let l = -0.4 + 0.4. What is the closest to l in p, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44135510 (base 6) to base 4\nAnswer: -11002012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4101*1 - -2 - (9 - 8). Let j = -2431 + x. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + h**2 + 1 - h**2. Let k be c(1). Suppose 14*g - 2*j - 10 = 17*g, 0 = g + 2*j + 6. Sort g, 5, k in descending order.\nAnswer: 5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 0)*(4 + 7 - 44*g + 41*g).\nAnswer: 9*g - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -34.25. Let l = -0.75 - k. Which is smaller: l or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -140572 - -140568. Let z = 6 - 5.6. Sort x, -0.05, z in ascending order.\nAnswer: x, -0.05, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -134.93 + 134.9. What is the second smallest value in d, -0.5, 2, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/3 - (76 + 4). Let w = 114 + u. Calculate the highest common factor of w and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -664 - 1812 - 13*k**2 - 644 + 3120.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 902 times 469213?\nAnswer: 423230126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b + 3. Determine q(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**2 - 215*a - 220 = 0.\nAnswer: -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/2586560 and 73\/2586560.\nAnswer: 2586560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 5*i + 8*i)*(i + 2*i + 0*i)*(0 - 7 + 5).\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.0835816 nanoseconds in weeks?\nAnswer: 0.00000000000005304825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**5\/20 - v**4\/4 - v**3\/3 - 3*v**2\/2 + v. Let d be i(-2). Let j = 8 + d. What is the remainder when 14 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -117 (b) 59 (c) -6 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -3 + 278\/2. Suppose -5*v - u = -5*g, 101 = 5*g + v - 9. List the prime factors of g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 5:30 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6633967 is divided by 374?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/22)\/((-153)\/(-2244)*(-2)\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 12059110 - 12059110.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**12*m)\/m**(5\/3) assuming m is positive.\nAnswer: m**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 + 119 + 38*k.\nAnswer: 38*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/78 and -82\/2078193.\nAnswer: 4156386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7*p - 4. Let d(f) = 1. Let y(u) = u - 3. Let q(i) = -2*d(i) - y(i). Suppose -35*m = -29*m - 18. Let g = m + -2. Determine g*r(v) + 6*q(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(3) - sqrt(240)\/sqrt(5)) + sqrt(3) + sqrt(3))**2 - (sqrt(147) + sqrt(147)*2 + -5 - sqrt(147) - sqrt(147)).\nAnswer: -9*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 11*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 678.645 and -21268?\nAnswer: 21946.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.8 in -257, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*n - 2)*(2 - 4 + 0) + 0*n + 2*n - n - 1194 + 1194 + 30*n.\nAnswer: 35*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(1 - 187\/33). What is the nearest to -0.1 in i, 5, 3\/2, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -344.\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**4\/10 + 6*d**3\/5 + 24*d**2\/5 + 8*d - 60. Factor y(x).\nAnswer: 2*(x + 2)**2*(x + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 780 = -4*a - j, a + 4*j - 260 = 0. Suppose 5*q = -g + 791, -2*g = 4*q + a - 1818. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3958 + -2355. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 + -2 + 4 + -2. Let g(h) = 8 + 5 - h**2 - 9*h - 2. Is g(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -18*r + 27. Let u(s) = -1. Let t(g) = -2*n(g) - 54*u(g). Let m be t(1). List the prime factors of 3 - (m\/4)\/(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56143.2 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20509116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + a**2. Let n(l) = -16*l**3 + 5*l**2. What is n(r) - 5*u(r)?\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132316 and 3724?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5607693229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 5*z - 7. Let b be o(6). Let g be ((-62)\/22 - 6\/33)*b. Find the second derivative of 3*v - g*v - 12*v**2 + 5*v - 11*v wrt v.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 733 and 971225?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -14. Put -1\/2, 3, b in decreasing order.\nAnswer: b, 3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(2\/41))\/h*h)\/(h\/h**(-13\/5)*h*h) assuming h is positive.\nAnswer: h**(-953\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 478 = -b + 485, -5*n - 3*b + 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 46*l + 152. Determine z(41).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 41889*q**5\/20 - q**4\/24 + q**3\/6 + 5*q**2. Let w be o(1). Let i = 66667 - w. What is i rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - i + 12 = -2*i, -s - 4*i = -20. Let k(o) = 4 - o - s. Let r(x) be the second derivative of -x**4\/6 - 4*x**3\/3 - x. What is -8*k(u) + r(u)?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 7*v**2 + v - 3. Let l be r(7). Let q be ((-15)\/l)\/((-36)\/48). Solve -3*j = q*g + 22, -2*j - 3*g - 12 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486841183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 6 + 9. Let f(v) = -v + 3. Let g be f(n). Let w(m) = 12*m - 39860 - 39858 + 3*m**2 + 79720 - 8*m. Calculate w(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 25?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -1242.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*f + 1398, f - 49 - 419 = 3*z. Is 48 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 726643 (base 12) to base 2\nAnswer: 110110110001000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7217 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: What is the remainder when 83 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 e, and 2 k when four letters picked without replacement from {w: 7, j: 1, m: 2, e: 4, k: 4}.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74203\/38 - 36104\/19. Find l, given that -3*l**2 + 207\/2*l + w = 0.\nAnswer: -1\/2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*d - 3*j, 0 = -4*d - j + 5 - 3. Let a(c) = c + 39. Calculate a(d).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2575*m**5 + 3*m**2 - 436 wrt m.\nAnswer: -154500*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1060*p**2 - 6*p + 5. Let y be (498\/(-84) + 6)*14. What is the tens digit of w(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + 0 + 0 + (21*r**2 - 4 + 4)*(2*r + r - 2*r + (-2*r - 2 + 2)*(0 + 1 - 2)).\nAnswer: 61*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996536449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*h - 52925 = 1231*h for h.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 26 = -41 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djeebbtetejeeb. Give prob of picking 1 j and 1 t.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002176 to seven decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2531 - 0.481?\nAnswer: 2530.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58632, -58634, -58646, -58674, -58724, -58802, -58914?\nAnswer: -59066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 7*c - 13. Let o be s(-2). Put o, -29, -3, -1 in descending order.\nAnswer: o, -1, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/18*(58212\/(-273))\/77\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n. Let k(i) be the second derivative of -i**4\/24 + i**2 - i. Let l(t) be the first derivative of k(t). Give g(l(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -6937, 3, -917.\nAnswer: -6937, -917, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -225*d**4 - 19 + 3 - 5*d**3 + 71*d**2 - 10*d**3 + 17*d**3 + 223*d**4 to the form u*d**4 + g*d + t*d**3 + b + o*d**2 and give o.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2734 + -1574. Is z a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q. Let i(b) = 13*b**2 + 11*b - 11. Let y(d) = -d**2 - d + 1. Let z(k) = 2*i(k) + 22*y(k). Determine z(v(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**4 - 191*z**3 + 3*z**2 + 30. Let b(a) = 128*a**3 - 2*a**2 - 20. Let j(s) = -7*b(s) - 5*v(s). What is the third derivative of j(w) wrt w?\nAnswer: -120*w + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 5:15 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 64927 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + -6*sqrt(150))*-3)\/(6*1*sqrt(98)).\nAnswer: 29*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*(sqrt(180)\/sqrt(10) - sqrt(18)))\/(4*sqrt(6)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1387 - 1387. Solve 2*a + a + 3*i - 9 = 0, z = 5*a + 4*i - 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 - 9006219*b**2\/2 - 18012441*b\/2 - 9006221\/2.\nAnswer: (b - 9006221)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 10771 - 10771 - 356*x + 1526*x + 1567*x in the form j*x + f and give j.\nAnswer: 2737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1705282 divided by -2.\nAnswer: 852641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 at least -1674\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-15)*(-4)\/1. Let s = -49400 - -49290. Which is the third smallest value? (a) s (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*j = j + 39, 0 = z + 3*j - 15. Let h be 0\/2 - (-21)\/z*3. Solve h*x = 4*x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, 0.5, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 1. Let s(f) = 14*f + 3. Let h(p) = -3*n(p) - s(p). Let t(a) = 2*a. Determine h(t(y)).\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2. Let v(f) = 7*f - 1. Let h(q) = -13*q + 8. Let t(o) = h(o) + 4*v(o). Determine t(z(m)).\nAnswer: -45*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1333\/2 or -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, w: 8, o: 2, a: 1}. What is prob of picking 1 w and 1 o?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -37. Let m be ((-1)\/2*d)\/(-1). Let v be (7\/(21\/9))\/m. Sort v, -7, -2 in decreasing order.\nAnswer: -2, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5*k = 9, 201*y - 205*y - 4*k - 24 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1580\/37947 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a kilogram in grams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 136 = 5*t - 44, -5*r - 7388*t = -7385*t - 225 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let i be -60*2\/14*-133. Suppose -k - i = 2*k. What is k rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 56*m**2 + 14*m - 28. Let d be n(2). Suppose d + 0 = 4*r. Let q be (-4)\/(-10) - 66\/(-10). What is the highest common factor of q and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.6 - 9.549. Let m = 136.25 - 136.199. Let h = s - m. Which is greater: 7\/5 or h?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 19. Let f(n) = -2*n + 22. Let u be f(11). Let d = -1 + 3. What is the smallest value in d, c, 3\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -10, -22, -34?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*m**3 + 292*m**2 - 608*m + 64.\nAnswer: -4*(m - 4)**2*(9*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3\/4 - 81*n**2\/2 + 1649*n\/4 + 453 = 0.\nAnswer: -1, 12, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -438, -971, -1526, -2103, -2702?\n\"Answer: -11*d**2 - 500*d + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5194 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18220801 to the nearest integer?\nAnswer: 4269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k = 25*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-1*(4 - 3)). Suppose -r*q + 7035 = -2*p, -2*p = -0*q - 4*q + 9380. Suppose 21*h = 26*h - q. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 983*t + 119423. Determine l(142).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 617370 and 35035?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 14345*r**2 + 10672095*r - 544403475.\nAnswer: 5*(r - 1407)**2*(r - 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*h + 2*h**2 - 11800*h**3 + 11807*h**3 + 60*h as j*h**2 + c*h + q*h**3 + b and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0312? (a) 1\/3 (b) 0.1 (c) -16 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 25*h**2 + 34*h - 40. Let b be v(24). Suppose -10*s = -9*s - b. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-14) + (-324)\/420.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*q + 151*q - 469*q + 158*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-130)\/238 - 12\/(-102). Let s = 93\/2 - 45. Which is the smallest value? (a) s (b) t (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmmembmmmbm. What is prob of sequence mmbe?\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*(576\/27 + -18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d5ea + -70?\nAnswer: -d65a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 37, 14575?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.28132 - 0.28. What is i rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1174\/485 + -2\/97. Factor 16\/5 - 24\/5*r + u*r**2 - 2\/5*r**3.\nAnswer: -2*(r - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**4\/5 - 31*s**3\/5 - 2157*s**2\/5 + 8991*s\/5 - 6804\/5 = 0.\nAnswer: -36, 1, 3, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -121. Let n be (-16)\/m + 65684\/11. Let a = n + -5976. Calculate the common denominator of a and 3\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -18. Let u(s) = -s - 5. Let y be u(x). Let m(h) = 2*h**y + h**2 - 5*h**2 - 2*h**2. Let q(o) = 4*o. What is q(m(l))?\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 637647839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(3*(-4)\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1.3 (c) 4 (d) 7 (e) -4 (f) -0.81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 236, 381, 490, 551?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - o + 10 = 0, 3*d - 5*o + 5 = -6. Suppose -5*l - 13 + 46 = -2*f, d*l = 2*f + 19. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 0 - 7*w + 5 - 1 - 11*w**2 + 6*w**2 + w**3. Calculate x(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/2403 and -79\/655485.\nAnswer: 5899365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - v = -3*v + 12, 2*w + v - 5 = 0. Let m be (-23 + 24)\/(w\/940). Suppose m = -0*c + 2*c + 3*o, 3*o + 690 = 3*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-444)\/2331*261\/29?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1155, 1158, 1181, 1236, 1335?\n\"Answer: 2*v**3 - 2*v**2 - 5*v + 1160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 323 - 720. Let s = -371 - o. Calculate the highest common divisor of s and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 12:04 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 2*f - 2. Let u be j(4). Let v be u\/88 + 2\/(-8). Is v < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3328070?\nAnswer: 2, 5, 47, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-889*d - 660*d - 271*d + 511*d)*(2 + 0 - 4)*(1 - 3 + 4).\nAnswer: 5236*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4153*f - 235313 - 1408 for f.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, v: 3, w: 3, h: 3, i: 3, b: 1}. What is prob of picking 1 h, 1 z, 1 i, and 1 b?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 493130902?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2252d - -5?\nAnswer: -22528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 706 and 25669101?\nAnswer: 51338202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -137113511*c*o**5 + 109*c*o - 173033*o - 6 wrt o.\nAnswer: -2742270220*c*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19)*-1 + 0)*3)**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d\/(d*d**3)*d*d)**1*(d*d**(1\/6))\/(d*(d\/((d*d**(-2\/25)*d)\/d))\/d))**(-1\/10) assuming d is positive.\nAnswer: d**(-463\/1500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 9) in base 3?\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2 - 3548*z - 855270 = 0. Calculate z.\nAnswer: -215, 1989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5*-4727.5\nAnswer: -23637.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l - 1. Calculate the remainder when 33 is divided by w(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797261821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -b1a06?\nAnswer: -b1a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1805 and 688788?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 0 + 5\/12*a**4 + 2\/3*a**3 + 3*a**2 - 1\/20*a**5 + 22*a. Calculate h(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*n**2 + 2*n**3 + 1 - 81*n**2 + 2 as l*n**3 + x*n + p + a*n**2 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 249, 46, -1093, -3642, -8075, -14866?\n\"Answer: -79*i**3 + 6*i**2 + 332*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4584684*i**3*j + 9*i*j + 2783*j - 65129 wrt i.\nAnswer: 13754052*i**2*j + 9*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27898*o**2 + 337*o + 69?\nAnswer: 55796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 210 (b) -88124 (c) 0.4 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.045141 centuries?\nAnswer: 904.5141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.64 + -0.14. Is 0 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a hour in seconds?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0388559 * 0.003.\nAnswer: 0.0001165677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (-19)\/(-7)) + (-6)\/21. Let l be -3*3\/(-27)*-201*z. Let x = 68 - l. Which is smaller: x or 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.4 - -1.4. Let i = 4 + -1. Suppose g + 17 = -0*g - 4*q, i*q + 11 = g. Put a, g, 0.1 in decreasing order.\nAnswer: 0.1, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 90.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 1. Let i(k) = -5*k**2 + 11*k - 5. Let r(c) = -i(c) - 2*q(c). Let f be 10 + -1*(4 - 1). Is r(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 8*i + 14. Let d be b(-10). Is ((-14)\/6)\/(d\/54) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o + 87. Let h be n(26). Let k be ((-16)\/6)\/((-15)\/h + 1). Solve -4*m - k*s + 16 = 0, 4*s + 2 = 2*m + 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821 is divided by 318?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 5*w. Let s be m(5). Let u(o) be the third derivative of o**4\/24 - 7*o**2. Determine u(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 + 0 + 0 + 3 + (-11 + 50 - 37)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-320 + 320 - 1922*s)*(1 + 2 - 4).\nAnswer: 1922*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -7.2. Let t = m - 12. Which is the third biggest value? (a) t (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-6))\/(2\/40). Solve 3*h - 5*c - f = 0, -7*c = -4*h - 2*c + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 1494*x - 326648.\nAnswer: -(x + 266)*(x + 1228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -13)\/(((-14)\/2)\/1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 0 + 0*z + 1\/84*z**4 - 27*z**2 - 1\/420*z**6 + 1\/21*z**3 - 1\/210*z**5. Factor b(n).\nAnswer: -2*(n - 1)*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(20\/(-18))*(-49)\/(-49).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + -0.1. Suppose 5*q - 10 = -0*q. Suppose q*m = 2*w + 14, w = -4*w - 3*m - 19. What is the third smallest value in w, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 - 587*u - 19202. Give f(-256).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**7\/1050 - v**6\/150 - v**5\/75 - 95*v**2 - 3. Factor x(i).\nAnswer: -i**2*(i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -880 - -863. Let t be (5 + -4)\/(2\/(-50)). Is s at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.32 minus 0.87?\nAnswer: 136.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1695.9374 + 0.0626. Let o = 1696.000000797 - b. What is o rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anr when three letters picked without replacement from ranaarnarannnarnanar.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-10)\/(-5))\/(32\/70) and -85\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**3 + 3*h**2 - 3*h - 3. Let x(l) = l**2 + 39*l - 373. Let w be x(8). Let s(c) = -5*c**3 + 4*c**2 - 4*c - 4. What is w*s(k) - 4*r(k)?\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 701, 1400, 2099?\nAnswer: 2798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, z: 2, e: 3, n: 2, s: 3, w: 6}. What is prob of sequence wzw?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002588 rounded to six decimal places?\nAnswer: 0.000259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 20354?\nAnswer: -6106.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2810 divided by -1405\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 137*u**6\/30 - u**5\/20 - 13*u**4\/4 - 2*u**3\/3 + 285*u. Find the third derivative of a(s) wrt s.\nAnswer: 3288*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 32.8. What is the second biggest value in 0, -3, 9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 4 (c) 0.2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -594.2 - -593.3. Let q = 0.36 + 0.04. Let j = 0.7 - q. Which is the closest to u? (a) j (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473616593?\nAnswer: 473616593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n. Let s(w) = w**2 - 3*w. Let d(f) = -3*q(f) + 4*s(f). Let r(x) be the first derivative of -73 - 4274*x + 4274*x - x**2. Calculate r(d(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s + 8*s - 8*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 554 divided by 2.\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142114 by -142114.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 15097*o + 3774.\nAnswer: (o + 3774)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, t: 7, m: 3, v: 1, z: 4}. What is prob of picking 1 v and 1 m?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 22*g = 195. Let p(w) = -w**3 + 2*w**2 + 4*w - 7. Let j be p(5). Let s = g - j. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w - 4. Let t be b(-4). Let d be 2\/(-6)*0 + t. Let y(j) = 3*j**2 + d*j**2 - 3*j**2 - 5*j**2. Let n(u) = -u**2. Determine n(y(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (2 - -9) - (51 - (68 - 20))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10396410*d**3 - 3805546 wrt d?\nAnswer: -31189230*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 370 + 100. Suppose -5*u = -3*r + 62 + 433, -2*r - k = 5*u. Calculate the common denominator of u\/80*82\/8 and 25\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 856282 is divided by 873?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or 13\/15?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + s + 1. Let a(p) = -p**3 - 3*p**2 + 6*p + 8. Let k(h) = a(h) - 6*i(h). List the prime factors of k(2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/3*(-9)\/2. Suppose -120 = 3*l - b*l. Suppose o = -4, -o + l = 2*w - 0*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.4 take away -719.682226?\nAnswer: 813.082226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m - 254 = -2*s, 6*s - 29*m + 66*m = 35*m + 34 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3653 + 2753. Calculate the lowest common multiple of w and 9.\nAnswer: 57654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 6447d?\nAnswer: -64480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 607 - 190 = 4*g, 3*g - 324 = -f. Calculate the remainder when 2105 is divided by g.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*h - 21*h - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 72 + 5*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1. Let a(s) be the first derivative of 37*s**2\/2 - 60*s + 75. Let w(f) = a(f) - 3*g(f). Differentiate w(r) with respect to r.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - v + 0)*(-3 + 3 - 2) - 2*v - v - 6*v)*(-17 - v + 8*v - 5*v).\nAnswer: -14*v**2 + 119*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 8) to base 12.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 636724633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**8))\/(z*z\/((z**(5\/2)*z)\/z))*z\/(z\/(z**(-1\/12)*z))*z*(z\/z**19)\/z*z)**20 assuming z is positive.\nAnswer: z**(-1415\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + z**2 - z**2 + (27*z - 27*z - 12*z**2)*(-2 + 0 + 5) - 19 + 43*z + 46 - z**2 - 25)*(2*z**3 - 4*z**3 + 0*z**3).\nAnswer: 76*z**5 - 86*z**4 - 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5*t = -20, t + 24 + 8 = 7*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -169670, 3 in increasing order.\nAnswer: -169670, -34, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107253424.\nAnswer: 2, 2521, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168331?\nAnswer: 168331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18582 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + (5 + sqrt(700)*-1 + sqrt(700) - (sqrt(700) + -1 + 3) - 1*(sqrt(700) + -1)*2))**2.\nAnswer: -600*sqrt(7) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14d (base 16) in base 6?\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -217 - -212. Put o, 0, -2, -23 in decreasing order.\nAnswer: 0, -2, o, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a**2 - 4. Let z(n) = -20*n**2 - 3*n + 9. Let t(u) = -21*u**2 - 4*u + 9. Let q(v) = 3*t(v) - 4*z(v). Determine -5*d(i) + 2*q(i).\nAnswer: -6*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -8, 5, -3, 4 in decreasing order.\nAnswer: 5, 4, 2, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-10)*(-18)\/7425*50\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 0*z**2 + z + z**2 + 3*z**2. Let u be w(-1). Let p(y) = y**3 + y. Let s(q) = 5*q**3 + 3*q. Give u*p(a) - s(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -88677.46 minus -4.42?\nAnswer: -88673.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*d**3\/5 - 733196*d**2\/5 + 19199260971*d\/5 - 5485443282\/5.\nAnswer: (d - 52371)**2*(7*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13527\/10 - -1363. Calculate the common denominator of s and ((-128)\/30)\/(6\/10).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**4\/12 - z**3\/6 + z**2\/2 - 267*z. Let i(s) = -6*s**2 + 4*s - 1. Give i(a) + 2*k(a).\nAnswer: -4*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 1199.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -9. Let t(u) = u**2 - 3*u + 16. Let r be t(-12). Let a = -97 + r. What is the greatest common divisor of a and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*h + 545*h = 17842 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 - 24045*q - 24042.\nAnswer: -3*(q + 1)*(q + 8014)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2923*a + 4*x - 21 = -2918*a, 5*a = -4*x - 29 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 1\/30*r**4 + 1\/50*r**5 + 0*r**2 - 14*r + 0 + 0*r**3. Determine u, given that o(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f + 5. Determine z(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1948 (base 14) to base 16.\nAnswer: -11dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1. Let d be 14\/(-28)*(0 - -2). Let y(g) = -17*g + 7. Let s(l) = d*y(l) - 3*q(l). What is the derivative of s(k) wrt k?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - 3) + 0)*90\/36\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, x: 2, j: 4, m: 2}. What is prob of picking 1 d and 1 m?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -277*d**2*l**3 + 7*d**2*l**2 - d**2*l - 8*d**2 + 2*d*l**3 wrt l?\nAnswer: -1662*d**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qdqddhlqddhqd.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 + 7477615490396?\nAnswer: 7477615490395.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4. Let d be (t\/(-4))\/((-10)\/4). Factor -1\/5*j - 3\/5*j**4 + 3\/5*j**2 + d*j**3 + 0.\nAnswer: -j*(j - 1)*(j + 1)*(3*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3738*c - 5301 = -285651 for c.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddjddjdddjdddad. What is prob of sequence jadd?\nAnswer: 39\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**3 - i**2 + 5*i - 1. Let h = 1 - -2. Suppose -9 = 3*j + 3*f, f - 6*f - 7 = h*j. Let c(n) = 3*n**3 - n**2 + 4*n - 1. Calculate j*x(d) + 5*c(d).\nAnswer: -d**3 - d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - o + 1. Let n(h) = -6*h**2 + 10*h - 4. Let j(z) = -n(z) - 4*r(z). What is the second derivative of j(l) wrt l?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d0 + -3?\nAnswer: -d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(3*d**4 + 0*d**4 - 4*d**4) + (-18*d + 9*d + 29*d)*(d**3 - 7*d**3 + d**3).\nAnswer: -98*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529500?\nAnswer: 2, 3, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 422 and 151498.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250759 is divided by 51.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102022 - -22?\nAnswer: 102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdheheqdhdhp. What is prob of sequence ehd?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 159 - 96. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s*s*s**5\/s)\/s))\/(s\/(s\/(s\/(s**6\/s)))))\/(s**0\/(s\/((s**(-1\/7)*s)\/s))))\/((s**(-2\/7)\/s)\/(s*s**(-3))*(s**0)**(-30)) assuming s is positive.\nAnswer: s**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to -104\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-121)*-4*(-33)\/72\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 29*b - 22. Let y be v(28). Suppose 0*t - 3*t = 0. Let z be t\/(0 - (-9)\/3). Solve y = 3*p - z*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(196\/6307) - (-8)\/28 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n - 28. Let t be h(22). Let x = -54 + t. Let r be (-8)\/6*x\/(-56). Which is the second biggest value? (a) -3 (b) 1\/2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6871097 or -185519602\/27?\nAnswer: -185519602\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = q - 3. Let k(p) = 15*p - 17*p**2 + 0 - 13 - q*p. Let i(b) = -135*b**2 + 3 - 129*b**2 - 102*b**2 + 370*b**2 - 2*b. Calculate 9*i(x) + 2*k(x).\nAnswer: 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 858?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0370198999 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1819165 micrometers to centimeters.\nAnswer: 0.00001819165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -787\/43660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*l - 1, -5*b - 2 + 7 = 5*l. Let x(f) be the second derivative of 0*f**b + 1\/10*f**5 - 2\/3*f**3 - 5*f - 1\/6*f**4 + 0. Factor x(t).\nAnswer: 2*t*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o - 4*o + 5*o - 16. Let u(x) = x - 3. Let n be 3 - (-3 + -53)\/(-4). Calculate n*u(a) + 2*y(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + 56. Let n be 3\/(1*6)*-124. Let r = n + z. What is the remainder when r is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c + 6. Let m(o) = o - 423. What is -m(f) - s(f)?\nAnswer: 4*f + 417","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/165 or -869.9?\nAnswer: -869.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/4230 and 133\/30?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 6*s - 11. Let h be v(7). Let u be (h + 6)*(0 - -1). Solve -4*i = -u*i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0. Suppose -56*y + 43 = 3*u - 60*y, y + 58 = 6*u. What is the remainder when u is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j + 100. Let y be d(20). Suppose y = -v - 5, -2*b = -0*v - v - 11. Solve -3 = b*f + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2181, 4382, 6579, 8772?\n\"Answer: -2*u**2 + 2207*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 + 10 - 10)*(2*u**2 - u**2 + 0*u**2) to the form m + w*u**2 + f*u and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 + 4*z**2 - 7*z**2 + (2*z**2 - 4*z**2 + 3*z**2)*(3 + 1 - 2) + (-5*z + 5*z - 2*z)*(-2 + 2 + 2*z))*(-3*z - 3*z + 4*z).\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -4. Let c = 27 - 28. Let i = p + c. Is i at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 75\/9 - 4\/(-6). Suppose 2*b + 2*c - m = -179, -4*b + 4*c - 348 = 0. Let r = b + 201. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 845846.4 hours?\nAnswer: 3045047040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 9.104, 12\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**6\/120 + k**4\/3 + 65*k**3\/6 + k**2 + 1. What is the derivative of x(j) wrt j?\nAnswer: 3*j**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -166 - 196. Let m = -361.999999534 - w. What is m rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 470 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 126199831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*k + 161 + 124. What is the highest common divisor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 16 = 5*i. Suppose -o = -j - 16, 1 = 2*o + 5*j + i. What is the least common multiple of o and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -d - 0*d. Suppose -3*b + 76 = 2*n, -5*n + 223 - 7 = b. Suppose -3*i + n = -61. What is the remainder when i is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 18\/7*q**2 + 2\/7*q**3 + 0 + 0*q = 0. Calculate q.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10987 - 0.33\nAnswer: -10987.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 284.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-four fifths of a kilogram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6918*q**2 + 72*q - 610651 wrt q?\nAnswer: -13836*q + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 6*u - 3*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j - 3*j + 2*j**3 - 5*j**3 + 3*j**3 + 3*j**3 + (4*j - j - 5*j)*(1 + 2*j**2 - 1) - 4*j**3 - 3*j**3 + 5*j**3 + (6*j - 21 + 21)*(j**2 + 0*j**2 + 0*j**2).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8410739333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 4. Let u = 232 + -228. Solve 7 = -5*x - 5*d - 3, c*x + u*d = -12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14223 - 0?\nAnswer: 14223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25861, 51799, 77737, 103675, 129613, 155551?\nAnswer: 181489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0*n - n - 12, -3*t = -3*n + 9. Suppose 4*a - 24 + 0 = n. Let m = 43 - 22. What is the remainder when m is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 3*z - 0*z - 11, -h - 5*z = 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -45, -35, -21, -3, 19, 45, 75?\n\"Answer: 2*c**2 + 4*c - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3104, 5, -29 in increasing order.\nAnswer: -29, -2, 5, 3104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -11 (c) 2 (d) 5\/2 (e) 509 (f) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (4 - 1))\/(1\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5 + 4 - 2 - 3 + (-1 + 5 - 2)*(-4 + 3 + 3))*(5 - 5 - 8*b**2).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 26*w = -60 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -56233, -56142, -56051, -55960, -55869, -55778?\n\"Answer: 91*j - 56324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 167, -2\/7, 2\/21, -1, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(4\/(-3))*4\/6. Calculate the remainder when (i - 28\/12)*(4 + -658) is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cddnxwnnxxcnxn. Give prob of picking 2 n, 1 d, and 1 x.\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 799, 1724, 2649, 3574, 4499, 5424?\nAnswer: 6349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -39525316?\nAnswer: 39525316.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 337264741*q**3*w - 41*q**2*w - q**2 + 4363*q + 2*w - 51 wrt q?\nAnswer: 2023588446*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**6\/120 + d**5\/10 - d**4\/8 - 7*d**3\/6 + 3*d**2 + 77*d. Calculate h(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d6d4 (base 15) to base 8.\nAnswer: -273461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*m + m. Let h be (m - 2)\/3 + 1. Solve -i = -0*i + h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3444 divided by 6.\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10)*(-45)\/78)\/((-1131)\/(-1508)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -9*d**2 - d. Let t(x) = -8*x - 14. Let z(g) = 5*g - 37 + 10 + 35. Let a(r) = -4*t(r) - 7*z(r). Give l(a(w)).\nAnswer: -81*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.356 to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/15 + 532034*a\/15 + 1241576.\nAnswer: -2*(a - 266052)*(a + 35)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g - 11. What are the prime factors of f(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8.145345 milligrams?\nAnswer: 0.000000008145345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*m**2 + 204*m**2 - 168*m**2 - 292*m**2 - 394*m**2.\nAnswer: -610*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*h = -31, -5*h + 15 = 2441*j - 2456*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((53108\/(-680))\/71)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/57 (b) -11 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(17) + 0 - sqrt(17))*-3 + sqrt(34)\/sqrt(50))**2.\nAnswer: -2*sqrt(17) + 642\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1251 and 5.\nAnswer: 6255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9524, 9323, 9044, 8693, 8276, 7799, 7268, 6689?\n\"Answer: l**3 - 45*l**2 - 73*l + 9641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(110)\/sqrt(2))\/(sqrt(11) - -5*(sqrt(11) - sqrt(99))).\nAnswer: -2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*(6*(sqrt(1573) - (sqrt(1573) + sqrt(1573) + 1)) - (2 + sqrt(1573))*6))**2 + -5.\nAnswer: 171072*sqrt(13) + 8166088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 3*y + 91, -4 - 7 + 2 = 5*y - 2*y for f.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - -232. Let l be (-134)\/(-46) + 24\/i. What is the closest to 1\/2 in 18, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-30)\/6)\/25.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a year in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 29 = 5*f, w + 0*w + 2*f = 8. Let a be (w\/4)\/((-3)\/(-40)). Let p be 2\/(-8) + 63\/12. What is the greatest common factor of p and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 86 - 92 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*i + 2*i. Let o(g) = -g**2 - 8*g - 8. Let d be o(-6). Solve -m**3 + 4*m - 2*m**i - d*m + m**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/3)\/(u\/u**(-7)))\/((u\/(u*u**(2\/17)))\/u*u*u*u\/(u*(u*u**(-2\/15))\/u*u)*u))**(3\/20) assuming u is positive.\nAnswer: u**(-2639\/1700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-9) - (-24)\/18. Suppose -2*f + o + 16 = -o, 2*f + 5*o = -19. Factor -3*m**f + 26*m**3 + 6*m + 27*m**p - 2*m**3.\nAnswer: 3*m*(m + 1)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-259\nAnswer: 103.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 2*b - 2*b)*(2 - 28 - 33).\nAnswer: -118*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l. Let s be ((-585)\/25)\/3 - (-1)\/(-5). Let u(q) = -2*q. Let w(x) = s*u(x) + 3*n(x). Let o(d) = -42*d. What is w(o(y))?\nAnswer: 84*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/1)\/((-4)\/(-20)). Let s(t) = 9*t + 13. Let r be s(-3). Let w be 0 + 8 + 11 + r. Solve l = w*o - 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 5986?\nAnswer: 5990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -41410, -82818, -124228, -165640?\n\"Answer: -m**2 - 41405*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -3. Suppose w = 4*g + 4 - 0. Let o be g + 1 + 4\/1. Solve -2*t = -q + 2*t - 4, 0 = 2*q - o*t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2223 and 14573?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1622 - 4?\nAnswer: -1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2096 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6 + 1)*(i**3 + 1761 - 875 + i**4 - 903) in the form q*i**3 + l*i + n*i**2 + x + g*i**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 681 = 5*m + 331. What is the highest common divisor of 42 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -19 + 0*n + n**2 - 3*n + 14. Let m(o) = 2*o**2 - 5*o - 2. Let s be m(-1). Calculate the least common multiple of q(s) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06212 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {m: 3, d: 7, c: 4, l: 1, h: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 186 and 1837?\nAnswer: 341682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 10 = 3*i + 2, 2*i + 21 = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.813 + 0.187. What is the nearest to -0.1 in -3, 2\/29, p?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5774 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40.1 - -44.1. Which is the nearest to r? (a) 1\/4 (b) 0 (c) -0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.18 and -9?\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 191 - 151*j - 5*j + 147*j in the form a*j + x and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2976 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)*(((v\/v**(10\/9))\/v)\/v)\/v)\/(v*v\/((v*(v**(-9)\/v)\/v)\/v*v)*v*v*v*v*v*v)**(-28) assuming v is positive.\nAnswer: v**(4511\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -23 - ((-2 - -13) + 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 89 + 2 + 12.\nAnswer: 2*p - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, u: 1, s: 11}. Give prob of sequence so.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -323 + -130044?\nAnswer: -130400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.062 + -27. What is t rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 5*n + 2, 2*n = -o + n + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, 7\/26, 0, 5, 0.016 in increasing order.\nAnswer: -1.2, 0, 0.016, 7\/26, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -284479 (base 11) in base 8?\nAnswer: -1545304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000111100000 (base 2) in base 7?\nAnswer: 150664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 4, -13, -3.\nAnswer: -67, -13, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1 + -1*sqrt(468) + 0 - (-2 + -1 + sqrt(468) - (sqrt(468) + -1 + sqrt(468) + 1)))**2)*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 2*r**2 - r + 1. Let n = 4 + -2. Determine s(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x + 3. Let g be r(-2). Suppose -c - 2*c + g = 0. Let v = -360 + 357. Sort v, 2, c, 3.\nAnswer: v, 2, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.42 (b) 0.3 (c) 2 (d) 39 (e) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-21))\/((-123651)\/17486)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 645, 942, 1239, 1536?\nAnswer: 1833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 12:36 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -103\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103513331 (base 8) to base 3.\nAnswer: 1020100221120021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 8*q**2 - 55*q - 36. Let m be n(8). Solve 41*y = m*y + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 560 and 3824?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44576550*0.1.\nAnswer: 4457655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6399257 and -909961.\nAnswer: 5489296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 5:10 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1140 - 2267\/2. Let x(i) be the first derivative of 0*i + 10 - f*i**2 - 4\/3*i**3. What is the second derivative of x(w) wrt w?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 0*o**3 + 0*o**3)*(-o - 1 + 1) - o**4 - o**4 + 0*o**4.\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 q when two letters picked without replacement from ceucofq.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 5*k - 7. Let c be v(-4). Is 28 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-33)\/(-44))\/(15\/16). Let c(o) be the first derivative of -z*o**5 + 0*o**3 + 4 + 0*o**2 + 0*o**4 - o. Differentiate c(u) with respect to u.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -357499*g**4 + 50*g**2 + 7046 wrt g?\nAnswer: -8579976*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 a when four letters picked without replacement from iiaaaai?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 s, 1 e, and 1 k when four letters picked without replacement from {s: 1, c: 1, r: 2, k: 1, i: 1, e: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 + -107.6. What is the closest to q in -1\/7, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 5:13 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(2\/15))\/h**(2\/3))\/((h**4\/h*h)\/h*h*h**(-1)))**0 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 24 = 2*c, 3*c + 2*r = -2*r + 22. Let j(u) be the first derivative of -3 + 3\/2*u**2 - u - u**3 + 1\/2*u**4. Calculate j(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 0.054.\nAnswer: 0.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/(q\/(q**(-1\/9)\/q*q))*q))\/(((q\/(q\/(q**(-1\/3)*q*q)))\/q*q)\/q))\/(q**(-1))**(-37) assuming q is positive.\nAnswer: q**(-329\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1539*x - 828 = -1527*x. Which is the smallest value? (a) x (b) -4\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 5:39 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -440355 (base 6) in base 7?\nAnswer: -211133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884153 is divided by 441697.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 8*m + 5. Let q be s(4). Suppose -v + 140 = -q. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*530\/180 - -6?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -157 - 343450?\nAnswer: -343627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i**2 + 2*i + 2. Let g(f) = -2*f**3 + 42*f**2 - 46*f + 115. Let m be g(20). Let h(p) = 13*p**2 + 4*p + 4. What is m*o(y) + 2*h(y)?\nAnswer: -4*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317948627 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 6:25 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {p: 5, f: 2, e: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**3\/3 - 5*p**2\/2 - 7*p - 38. Let l be n(7). Solve -5*f + 4*o + l + 23 = 0, -f + 7 = -o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220224461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -88*w - 9639. Determine y(-110).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -0.5 (b) -70\/19 (c) -2\/3 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 86985*o - 2954022.\nAnswer: -3*(o - 28961)*(o - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 148 = 27. Let g be 2\/(-10) - (-63)\/f. Let o be 0 - (-4)\/8*g. Put 0.5, o, 2\/9 in ascending order.\nAnswer: o, 2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6263, 12530, 18795, 25058, 31319, 37578?\nAnswer: 43835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2609130*z**2 + 2*z + 7846003 wrt z?\nAnswer: -5218260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-4\/3)*t**(-32)*(t\/t**12)**4 assuming t is positive.\nAnswer: t**(-221\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4188 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 0.39, 1\/2, -0.5, -1862, 0.29?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**5\/2 - 1229*l**4 - 710451*l**3\/2 + 1076726*l**2 - 4910*l - 1435632 = 0.\nAnswer: -264, -1, 2, 2719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s**3 - 4*s**2 + 3*s. Let h(m) = 15*m**3 + 8*m**2 - 7*m. Suppose -14*q = -9*q - 30. Let y(r) = q*h(r) + 13*k(r). Factor y(n).\nAnswer: -n*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-14 - (-6 + -12) - (1 + 11))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 4*h - 4*h)*(-10*h**3 + 2*h**3 - 2*h**3)*(-70 + 70 + 88)*(7 - 1 - 4)*(3 - 2 + 1) to the form b*h**4 + k*h + a + z*h**2 + v*h**3 and give b.\nAnswer: -3520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 235869 <= 235869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1584 divided by -3.\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*g + 280*g + 309*g = 20310 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 10, -0.5, 0.3, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27004575 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 44 = z, 2*z + 2*z = 5*k + 212. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1150\/1725*102\/833.\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g + 10. What is k(7)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-29302)\/(-1176) + (-1)\/(-12). Solve -4*f = -4*y + 20, -22*y + 27*y = -5*f - n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149374.\nAnswer: 2, 74687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18706014953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7066, -7105, -7144, -7183, -7222?\n\"Answer: -39*q - 7027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdrm when four letters picked without replacement from {l: 10, d: 1, r: 3, m: 2}?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(-1 - (-15)\/4). Suppose t*w = 10*w + 11. Let d = w + -4. Solve 13 = 4*o - d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t - 15. Let f(o) = -17*o + 37. Let p(d) = -2*f(d) - 5*l(d). Let m(j) = 6*j - 7. Suppose -3*c - 2 = 1. Let q = -10 + 5. Calculate c*m(z) + q*p(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 35*d**2 - 20*d + 37. Let q = -125 + 154. Let o be g(q). Let i = o + -2363. Round i to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 16 in ascending order.\nAnswer: -1, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 2*b**2 + 3*b + 4. Let n be h(-3). Let q be 2\/(n\/2006)*-1. What is the tens digit of q\/(-51) + 2\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**8\/20160 + g**7\/7560 - g**6\/2160 - g**5\/360 + g**4\/4 - 3*g. Let f(t) be the third derivative of h(t). Factor f(s).\nAnswer: (s - 1)*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 - 5*s**2 - s**3 + 434*s**2 - 8*s**3 to the form d + l*s**3 + h*s + y*s**2 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 284628119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 5 + 5)*(-2 - d + 2)*(-4*d - 3*d + 6*d) + (6*d**2 - 3*d**2 + 0*d**2)*(26 - 14*d**2 - 26).\nAnswer: -40*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 14*y**3 + 22*y**2 + 85*y + 42. Let j(n) = 5*n**3 + 7*n**2 + 28*n + 14. Let t(z) = 4*b(z) - 11*j(z). Let f be t(-6). Solve -w = -f - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 79798720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*d**6 + 143*d**3 - 20*d**6 - 167*d**3 + 271 + 2*d**2 wrt d?\nAnswer: 2640*d**3 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000061858759 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhpgggghggpgeghghgph. What is prob of picking 1 m and 2 p?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*w**4 - 88*w**3 - 5*w + 90*w**3 + 0*w**2 - w**2 wrt w.\nAnswer: 144*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104017 and 3481?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45317644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*(-2*((sqrt(5) + 1 + sqrt(5))*-4)**2 - (sqrt(5) + sqrt(405) + 5)).\nAnswer: 276*sqrt(5) + 1352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a week in minutes?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*v - 60, 0*l + 2*l = -2*v + 36. What is the greatest common divisor of v and 752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.1 (b) 3\/2 (c) 3\/5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i - 2. Let p be z(2). Solve 3*c - 4 = -2*x, -5*x - c + 17 = -p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkkk when four letters picked without replacement from kvvkkv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3090 - -2939 - (3 + (-2 - 0) - 4).\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 1\/8 (c) 1\/6 (d) -514 (e) 2\/3 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 238 (base 11) to base 16.\nAnswer: 11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*c + 2*n + n, 0 = 2*c + 5*n - 19. Suppose -5 = -u, -c*k - 5*u = -4*u - 21. Let v be 1\/36 + (-2)\/k. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**(-3\/4))))\/m**3*m*m**(1\/5)*m*m**(-1\/3) assuming m is positive.\nAnswer: m**(-53\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 358, 715, 1238, 1933, 2806, 3863, 5110?\nAnswer: 6553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312 divided by 104.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002745 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = -4*u - 10*x - 9, -2*u + 2*x - 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 429 and 9.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/161 and -38\/15?\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14744 divided by -1843.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 548*z - 278*z + 6397*z**2 - 270*z.\nAnswer: 6397*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1395.1836 + -1392.6580996. Let v = -0.52550036 + y. Let k = v + -2. Round k to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -25. Suppose -i - 26 = -v, v = 2*v - 3*i - 16. Calculate the remainder when v is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -5) + -9 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32149, 63927, 95705?\nAnswer: 127483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6603.0246 milliseconds to hours.\nAnswer: 0.0018341735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -318146.9 - -318147. Let d = 4 + -6. Let f(q) = -q**3 - 3*q**2 - 3*q - 2. Let o be f(d). Which is the closest to -2\/7? (a) o (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24900000 to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*t, 0 = -7*p - 13*p + 21*p. Let c = -1\/724 - -407\/32580. Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/6)\/(-2))\/((-2)\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -1, 0.2, 0.4 in increasing order.\nAnswer: -29, -1, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 9 = w - 5*x, -4*w - 8 = 4*x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1028 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-seven halves of a micrometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 23 = 0, 2*k + 34*y - 17*y + 75 = 14*y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**2 - 1\/3*r**3 + 3*r - 2. Solve f(x) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.58 times -10?\nAnswer: 475.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 18*t + 3. Let h(v) = -125*v - 134. Let r(s) = -h(s) - 7*q(s). Let l(j) = -71*j. What is r(l(z))?\nAnswer: 71*z + 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -676244818.1 - 23.\nAnswer: -676244841.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 238*a + 144. Let i(j) = j - 2. Let y(x) = 10*i(x) + n(x). Differentiate y(b) wrt b.\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/4 + -4 - (-24 + 5)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k + k - 2126 + 2156. Give g(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.807521 kilometers in meters?\nAnswer: 3807.521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2209*s - 1883*s - 914 = -4174 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -16) + 5\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -237348 - 2*i**2 + 33*i + 21*i + 237345 to d + g*i**2 + y*i and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*k**4*z**2 + k**4 + 2*k**2 + 39*k*z - z**2 wrt k.\nAnswer: -564*k**2*z**2 + 12*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1793*r**3 + 6002*r**3 + 2074*r**3)*(-1 + 1 + 2).\nAnswer: 12566*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 12:35 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 + 292*p - 292*p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t - 59 - 146 = 26 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.104531714 to 5 dps.\nAnswer: -0.10453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.0021?\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 86*h**2 - 2*h - 24. Let v(c) = -29*c**2 + c + 9. Let d(t) = 3*i(t) + 8*v(t). Let r(q) = 7*q. Calculate r(d(z)).\nAnswer: 182*z**2 + 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -73997941 minus -0.1?\nAnswer: -73997940.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**5 + 4*w**4 + 10155*w**3 + 243455*w**2 wrt w?\nAnswer: -120*w**2 + 96*w + 60930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - 99 = -k. Let l(o) = -108*o**3 + 2*o - 99. Let y(w) = -431*w**3 + 9*w - 395. Let u(s) = k*l(s) + 2*y(s). Differentiate u(x) wrt x.\nAnswer: 330*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -163746274 = -163746275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b - 19*b - 10*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -266.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*x + 23 - 5 = 0, 9 = 3*x. Let z(q) = -t*q + 2*q - 4 - 4 - 4. What is z(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 3*n + 5. Suppose 3*a - 1 + 13 = 0. Determine s(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/sqrt(3) - sqrt(44))*-3)\/(sqrt(72)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-90)\/27 - -9) + 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -9*p**3 + 4*p**2 + 7*p + 3. Let r(k) = 5*k**3 - 2*k**2 - 4*k - 2. Let x be 1 + -4 + 4 - -6. Determine x*r(n) + 4*u(n).\nAnswer: -n**3 + 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(405) - sqrt(405)) + -2 + -2)*-2)**2.\nAnswer: 576*sqrt(5) + 6544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -14*c - 30. Put c, 0, 117 in descending order.\nAnswer: 117, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5508.96 + 15207.08. Let u = 20665.04001 - s. Let a = u + 51. Round a to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.064\nAnswer: 0.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**4 + 231*n**3 - 10814*n**2 + 133140*n + 311400 = 0?\nAnswer: -2, 30, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/11))**(10\/13)\/(n**18*n*n**(-9\/10)*n))**(31\/2) assuming n is positive.\nAnswer: n**(-840503\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - 81. Suppose -24*c + 900 = -19*c. Let m = q + c. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -1419*k - 24. Let z(v) = -532*v - 9. Let x(a) = 3*q(a) - 8*z(a). Let p(j) be the first derivative of -j**2\/2 + j - 1. What is -3*p(n) + x(n)?\nAnswer: 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 - -8)*(-52)\/(-8). Let n = -86 + l. Suppose 0 = 2*t - 10, n*b + 4*t - 1045 = -0*b. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 488*d**2 + 22*d - 11. Let q be z(5). Let n = -3259 + q. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2\/16314477 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9*(-4)\/(-216))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c + 4*c + 2*c)*(-9 + 0 + 2)*(3*c + c + 0*c) in the form v + a*c + w*c**2 and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2025 divided by 19\nAnswer: -2025\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + p = 3*p - 14, -4*p + 10 = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24139\/14 - -1718. Find the common denominator of (-33)\/11 - (-71)\/(-10) and d.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 19. Let t be k(-45). Solve 16 = -10*z + t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 7*h**4\/12 - h**3\/3 + 6*h - 17. Let y(k) be the first derivative of n(k). What is the remainder when y(2) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/13, 0.3, -4, -1, -165?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 154 + 152 - y**3 + 4*y - 6*y**2. Let h(o) = -4*o**3 - 16*o**2 + 13*o - 7. Let f be (2\/(-3))\/(1\/3). Let r(j) = f*h(j) + 7*s(j). Factor r(k).\nAnswer: k*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-650)\/200)\/(-13))\/(1\/(-140)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-6)\/8)\/(36\/29) and (-815)\/(-448) - (-3)\/(-7)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 12*v - 12. List the prime factors of n(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269726493?\nAnswer: 3, 2287, 39313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 181 - 176. Suppose g - 1138 = -f, -3*g + 3410 = -6*f + z*f. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 23*g**2 - 2. Let f be h(-23). Is 7 a factor of ((-506)\/33)\/(f - (-48)\/27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -161, -84, 107?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14 - -26)\/(2*1). Suppose s*m - 13*m = 0. Factor 56\/9*d**2 + m + 8\/9*d + 98\/9*d**3.\nAnswer: 2*d*(7*d + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2.1. Let i = -0.1 + l. Let z = 295 + -297. Which is greater: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**6\/60 - g**5\/5 + 3*g**4\/4 - 4*g**2. Find a, given that t(a) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q + 5. Suppose -o - o - 25 = -q*b, 4*b = -o + 20. Suppose 7*j - 6*j - 4*n = 0, -b*j = 3*n. Solve -3*f - 3 = -j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 13*l**2 + 3*l - 45. Determine z(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -428\/49 at most as big as 0.03193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*a**3 - 578 + 1204 - 584 as m + w*a**3 + d*a + k*a**2 and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -35. Which is the closest to -1\/5? (a) -3 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 38.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 - 3*m + 4. What is p(4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19 (b) 2\/21 (c) -4\/11 (d) 2\/7 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 9*q + 43 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11542 - -21621. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 628*p = 625*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) -5 (c) 0.1074 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -141 + 140.5. What is the fourth smallest value in i, 4, 1\/3, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 126 = -2*z, 0 = 3*i + 6. Let t(o) = o**3 + 6*o**2 + 3*o - 2. Let q be t(-3). Calculate the highest common factor of q and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260391433*t**2 + 260391433*t**2 - 5*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1163 + -645. Let f = -518.1 + x. Which is the biggest value? (a) 1\/6 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1934?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -9058 and -2042318.\nAnswer: -2051376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*m + 39*m - 507 = 0. Let w = -144 - m. Find the second derivative of 1027*c + w*c**2 + 18*c**2 - 1061*c wrt c.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -618819954 + -72.36.\nAnswer: -618820026.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.55419792 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*u - 0*o + 20, 0 = -4*u - o + 8. Suppose 3*w - 24 = -u. Solve w*a - 3*a = -3*i + 17, -5*a + 22 = 4*i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**4\/3 - 2*p**3\/3 - 4*p**2\/3 + 8*p\/3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4512 + -4512. Let y be (-1 + 4\/5)*-4. Suppose 0*w + 0 + s*w**2 - y*w**3 + 2\/5*w**4 = 0. What is w?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 204*a**3*t**4 - 4*a**3*t**2 - 376*a**3*t + 311*a**2*t**5 - 2*a**2*t + 11*a*t wrt t?\nAnswer: 4896*a**3*t + 18660*a**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -22, 1, 80, -34 in ascending order.\nAnswer: -34, -22, 1, 2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5317 or -5314?\nAnswer: -5317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 9:34 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**(-1\/3)\/k)\/k)*k*k)**(-5\/8)\/((k\/(k**(1\/11)*k))\/k**(2\/41)) assuming k is positive.\nAnswer: k**(-4321\/1353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 19 = 5*f - 42, -4*q + f + 67 = 0. Suppose q = 3*v + 12. Suppose -v*d + 0*d = -6. Solve -5*r = 3*y - 10, y - 5*y + 6 = d*r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1494.291 and 247317637.\nAnswer: 247316142.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-41)\/(-54))\/(14\/4). Let f = 3\/232 - 545\/6264. Let u = f + r. Which is the second smallest value? (a) u (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.5375 to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*d**3 - 56\/5*d**2 - 12\/5*d**4 + 8\/5*d + 0.\nAnswer: -2*d*(d - 2)**2*(6*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 - -0.28. Let a = 332 + -315. Let k be a\/51 - 22\/48. What is the smallest value in w, -3, -1\/2, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -102572, -204867, -307170, -409481?\n\"Answer: -4*y**2 - 102283*y - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -48, -52, -66, -90?\n\"Answer: -5*k**2 + 11*k - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, -5, 1\/5, -6.2, 0 in ascending order.\nAnswer: -6.2, -5, -6\/11, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 60.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*l - 4*j, 3*j = 3*l - 2*j - 2. Let t(f) be the first derivative of -1\/2*f**2 + l*f - 1. Determine t(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 + 0.6. Let z = -0.5 - h. Which is the third smallest value? (a) -0.3 (b) z (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 + 2*a**3 - a**3)*(0*a**2 + 3*a**2 - a**2) + 0*a**5 + 0*a**5 + 2*a**5 + 3.\nAnswer: 6*a**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1499644 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*h + 102 = -3*n, 0 = n + 2*h + 13. Let k = n - -24. Suppose -16*v + 61 = -51. Calculate the least common multiple of v and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4266*j + 10 = -4269*j - 5*n, -3*j + 5*n = 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u + 78. Let y = -18 - u. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468510275 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 415 = -7*c. Suppose c = 4*p - 9. Solve 4*z + p = 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.84? (a) -1\/3 (b) 0.2 (c) -1 (d) 578\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19623*f*n**4 - 803*f*n - 19*f wrt n.\nAnswer: 235476*f*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -33*b + 51*b - 20*b. Let i(w) = 6*w**2 + 3*w - 3*w. Determine u(i(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3\/4 (b) 30 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110 by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*p**3*t**2 + 99*p**3 + 3777065*p**2*t**2 + 305*p**2 - 773*p wrt t?\nAnswer: -6*p**3*t + 7554130*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 103597, 414384, 932363, 1657534, 2589897, 3729452?\n\"Answer: 103596*b**2 - b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (15\/4 - 4) + 11535\/12 + -2 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 6:40 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 6. Let v be 3\/2 - (-399)\/y. Calculate the common denominator of 1 + (-3 - v\/(-6)) and 67\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 6*b**2 - b - 4. Let s be o(-6). Let v(h) = -3 + s + 5 - 4*h + 2. Let y(c) = 3*c - 5. Calculate -4*v(f) - 5*y(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + 2. Let s = l - -28. What is the remainder when 2 + (-55 + 11 - -267) is divided by s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -121*r**2 + r**3 + 18*r**2 - 159*r - 554*r + 25947 + 36*r**2 + 32*r**2 = 0.\nAnswer: -27, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 5, 2, -9\/2, 0.0166 in decreasing order.\nAnswer: 5, 2, 0.0166, -0.1, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26877 and 11781.\nAnswer: 6208587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*b = -30. Let h = 13 - b. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 r when three letters picked without replacement from rkyykkykykkkrykkkkkk.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9350737?\nAnswer: 11, 43, 53, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17023788, 17023756, 17023702, 17023626, 17023528?\nAnswer: 17023408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2016 - 2.0324. Let s = u + 1.4544. Let c = 0.78 + s. What is c rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4018.8 - -4019. Let k = -0.1 - 0.1. Let m = 12 - 11.7. Which is the nearest to k? (a) h (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s + 7. Let l(g) = -3*g + 5. Let a = 1031 - 1036. Suppose 5 = k - 2. Let m(q) = a*d(q) + k*l(q). Let b(u) = 3*u. Give m(b(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 187574 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43384493?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38125084, -76250170, -114375256, -152500342, -190625428?\nAnswer: -228750514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 24 = -5*w. Let y = 63 - w. Let d = -33 + 59. What is the greatest common factor of y and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 3:19 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3688016 and 20.\nAnswer: 7.376032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, v: 2, u: 3, e: 3, k: 1, c: 1}. Give prob of picking 3 e.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-3)*(3 + -2). Suppose z*y - 30 = h, -y + 5*h + 6 = -24. Does 18 divide y*6\/75*60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 - 79 + 2*b**4 - 4*b**2 + 0*b**2 - 2*b + b**2 + 18 + 2*b**2 in the form j*b**2 + s*b**4 + z*b**3 + o + d*b and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + 0)*(-4)\/24. Let o be (-5)\/20*k*8 - -5. Solve o*x - 4 = 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-34)\/2070 - (10 + 12760\/(-1265)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 120?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/14*4\/12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 90.90171 micrometers?\nAnswer: 90901.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 0. Let p(z) = z**2 - z. Let f be p(v). Let i = -2 - -5. Solve f = -i*l + 2*t - 4, 0*l - 5*l - 15 = -5*t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 7:55 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*w + 74*w - 1450 = -57*w for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -2\/5 (c) -11 (d) -2.8 (e) -3 (f) 0.34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -13*r + 12. Let t(l) = 6*l - 5. Let h(b) = 5*t(b) + 2*u(b). Let v(i) = -9*i + 1. Calculate 5*h(c) + 3*v(c).\nAnswer: -7*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 12 = 4*p - 7, -2*p + 10 = -2*n. Suppose -d + 40 = -p*d. Let k(a) = -5*a + 16. What is the remainder when k(d) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, q: 4}. What is prob of picking 4 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*-1)\/(-1)*4. Let j = 302 - 258. What is the greatest common divisor of w and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 10*d - 8. Suppose 151 = -y - d*h + 3628, 4*h = y - 3437. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*(-5*(1 + (sqrt(5) - (sqrt(720) - sqrt(5)) - 6*(sqrt(5) - (sqrt(5) + -1 - sqrt(5))))))**2.\nAnswer: -391500 - 48000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454954.\nAnswer: 2, 17, 13381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23905 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 66, 73, 82, 93, 106, 121?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*l**3 - 1304 + 1304.\nAnswer: 274*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + (-136)\/(-20))*60. Let p(m) = 3*m**3 - 6*m**2 - 7*m - 6. Let h be p(-6). Let g = f + h. What is g rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3542 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k + 18. Let f be j(-3). Which is smaller: f or 8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzzzzzzu?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 9*w**2 - 7*w + 3. Let u be (4\/(-6))\/((-14)\/147). Let p be j(u). Calculate the highest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*m**3 + 18*m**3 - 14*m**2 + m**4 + 2*m + 17*m**2 - 2*m**4 in the form t*m**3 + n + c*m + v*m**2 + p*m**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/6)\/((-26)\/(-19539)). Suppose -2022 = -2*u + c, -4*u + 5*u = -4*c + g. Round u to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/8, 3, 179\/5?\nAnswer: 179\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 112813.\nAnswer: -1128130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(93 - 93 - 120*s) as j + p*s and give p.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrpdppprrdrd. Give prob of sequence rp.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 115, 3, 4 in descending order.\nAnswer: 115, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 112045403 (base 6) in base 2?\nAnswer: 111110110110000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*t**2 - 1665*t + 24412.\nAnswer: -16*t - 1665","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q*q**9)\/q)\/q*q)\/q**9 assuming q is positive.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1420131 (base 5) to base 9\nAnswer: -44314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2 - 10*c + 15. Let f be x(6). Suppose -2*m + f = m. Suppose m = 2*a - 7. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172167 + 341626 - 2*o - 169459.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccsscywc. Give prob of picking 1 c and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -35690 (base 11) in base 4?\nAnswer: -30203023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 14*w**2. Let o(g) = -1665*g. Determine i(o(t)).\nAnswer: 38811150*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52322.5 - -52322. Let p = 27.5 + -23. Let k = -0.5 - p. What is the closest to 3 in k, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.0631*2\nAnswer: 2.1262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 2*l + 17, 0*b - b - 4*l = -1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 20 = -0*m - h, -3*m + 5*h = -34. Suppose -150 = -m*q - 2*q. Suppose -4*g + y + 17 = 0, 5*g - y - q = -9. Which is bigger: g or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77*(-60)\/(-1120))\/((-165)\/(-352))?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 171 + -169. Solve -16 = 4*l, -4*g - 2 - j = 2*l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222012 - 1021?\nAnswer: 1220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -187 + 331. Suppose 548 = 3*d + 4*s, 1309 - 363 = 5*d + 2*s. What is the highest common factor of y and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 12*m**2 + 11*m + 8. Let h be s(-11). What is the greatest common divisor of h and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-27) - 2024\/(-6). Suppose -5*d - 2*n + q = 0, 2*d - 4*n + 260 = 6*d. What are the prime factors of d?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 10 = -2. Let p(j) = -6*j + 3. Let o be p(-3). Calculate the greatest common factor of k and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 divided by -13?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 1. Let k(r) = 5*r**3 + 2*r**2 + r + 4. Give -4*d(o) - k(o).\nAnswer: -o**3 - 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.11537 micrometers to kilometers.\nAnswer: 0.00000005611537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 + -78. Let h(x) = -f - 14 - 8*x + 31. Let c(m) = -2*m**2. Determine c(h(q)).\nAnswer: -128*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkz when three letters picked without replacement from {z: 6, j: 8, k: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + (-5*-2*sqrt(297))\/(-1*sqrt(176)*-2))**2.\nAnswer: 45*sqrt(3) + 1251\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*26.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1687 + 603 - 614)*(3*d**3 - d**3 + d**3) as j*d**2 + n*d**3 + y + p*d and give n.\nAnswer: -5094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -4. Suppose -i*f = -0*f - 3*v - 258, 4*v = -2*f + 196. Suppose 2*k + 0*k = f. Calculate the highest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 1\/7, -2\/7, 38 in increasing order.\nAnswer: -4, -2\/7, 1\/7, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3, 8\/9, 14, -15\/11?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmlm when four letters picked without replacement from {l: 2, m: 17}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5700000 = -5*l + 2*l. What is l rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 - -50?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, g: 1, b: 5, d: 1, w: 3}. What is prob of picking 1 g and 2 w?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b\/((b**(-2\/13)*b)\/b))\/b))\/(b*b\/b**(-14\/3)))\/((b*b**(4\/11))\/b**(2\/3)))**(-2\/29) assuming b is positive.\nAnswer: b**(1864\/4147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 2392.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 13. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + n**2 + 1. Let c(r) be the second derivative of -2*r**5\/5 + r**4\/2 + 3*r**2 + 2*r. What is -c(d) + 6*j(d)?\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 8*p + 16. What is j(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 70\/3 (c) -104.58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 88458*m. Let u(o) = 1352*o**2 - 2*o. Determine u(l(s)).\nAnswer: 10579153616928*s**2 - 176916*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (9 + -10 - 6) + (-24 - -22).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/8*4160\/(-195)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 4*g + 5. Let l be o(-5). Let v be 2 + (0 - (-36)\/(-21)). Let k be 1 + 1 + (-120)\/57. What is the smallest value in l, v, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q**2. Let p(y) = -14*y**2. Let w(d) = 17*m(d) + 6*p(d). Let n(b) be the first derivative of -2*b**3\/3 + 4. What is n(w(a))?\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/35)*p\/p**11*p*p*p*p*p**(2\/3)*p**6 assuming p is positive.\nAnswer: p**(76\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 724\/1835 + 2\/367. Which is the closest to p? (a) 5 (b) -4 (c) -1\/4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1711, 1709, 1705, 1699?\nAnswer: 1691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28803*y + 8 - 4 - 6 + 2 - 28806*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1191)\/(-592) - (8 - 6) and -65\/12?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191409 is divided by 63803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5\/9 - 232*i**4\/9 - 5704*i**3\/9 + 61504*i**2\/9 = 0.\nAnswer: -62, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*z = -d + 111*z - 19, -z - 165 = 23*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 118, 128, 142, 160?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (-41 - -34 - (4 - -13)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1978 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 42491460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x**2 - 140*x. Let r(a) = 5*a**2 + 140*a. Determine 6*o(d) + 7*r(d).\nAnswer: -d**2 + 140*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*b + 14*b - 62*b.\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5108027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.55942ml to litres.\nAnswer: 0.07955942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + 0)*870\/232. What are the prime factors of f\/(-10) + 147\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 20037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -23*o**3\/6 + 6*o. Let b(m) = -2*m**2. What is x(b(h))?\nAnswer: 46*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136106, -270021, -403936, -537851, -671766?\nAnswer: -805681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-6) + 130895\/10. Suppose -4*w - 10*w = -p. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 6) to base 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180086 is divided by 3531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2 - 23*u**2 + 25*u**2 - 4*u - 6*u. Let p be i(-4). What is the highest common divisor of 35 and p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -286.8328876 and -10.\nAnswer: -296.8328876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2674297230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2062*j + 2041*j + 84 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 4. Let o(i) = i - 6 + a - 6. Let j be o(8). Let r(v) = 2*v - 2. Calculate r(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n - 75 = 0. Solve -10 = 5*c - n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 64, 80, 94, 106, 116, 124?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7404*r**3 + 21*r**2 - 3*r + 42 wrt r?\nAnswer: -44424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2120790\/378 + 4\/9. Calculate the highest common divisor of 31 and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2859 and 375482?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n + 284 = 119 - 114. Solve 5*o + 3*f = n, -12 = 4*o + 9*f - 13*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 7:34 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 120162402*k**4 + 103184461 wrt k?\nAnswer: 480649608*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -0.5 (c) -1 (d) 0.042 (e) -5 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/28 and 89\/280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbdb when four letters picked without replacement from {j: 3, d: 3, b: 2, y: 3, p: 2}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + x**2 - 2*x + 1. Let o be j(0). Let b(c) = 0*c**3 - 1 + 2 + c**3. Let m(n) = -8*n**3 - 2*n**2 - 2*n - 6. Give o*m(z) + 6*b(z).\nAnswer: -2*z**3 - 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/sqrt(11)*3 - (sqrt(931) + sqrt(931) + -2)**2) + 1.\nAnswer: -3727 + 59*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 301134 + 333?\nAnswer: 302022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 709.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -16*s + 4*s**2 + 3*s + 2*s**2 - 5 - 5*s**2. List the prime factors of r(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 258505911?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 1778. Let k(w) = -64*w. What is y(k(t))?\nAnswer: -64*t - 1778","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 246654 a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299 = 5*x + p, 4*x + 116 - 336 = 4*p. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42400 - 132344?\nAnswer: -215144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -25. Suppose -3*t + b = c + 3*c, 0 = 5*t - 2*c - 62. Suppose -11*i = -t*i. Solve -4*s + i = 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 - 12*r + 82. What is c(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.398 and 0.2.\nAnswer: -0.0796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-14)\/f)**16\/(f\/(f*f**(31\/3)\/f)*f\/(f**(-2\/81)*f*f)) assuming f is positive.\nAnswer: f**(-18605\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -603545*u**2*w**4 - 4*u**2*w + 2*u*w - 34*u + 2*w**2 - 64*w wrt w?\nAnswer: -14485080*u**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -18*p - 34. Let y be w(13). Let x be 3\/(-2)*(-2)\/1. Let u be y\/(-12) + 2\/x. What is the highest common divisor of 207 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-405)\/(-1188))\/(6\/(-33)).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/6, 5\/11, 26, -1\/12?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.1 + 1.9. Let a = w - 2. What is the closest to -5 in 0, a, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(228) - (sqrt(228)*-2 + sqrt(228) - sqrt(228)) - sqrt(228)) + sqrt(228))*-5)\/sqrt(12)*1.\nAnswer: -15*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -95a - 26?\nAnswer: -983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4*j**2 - 23*j**2 + 3 + 3*j**3 + 18*j**2.\nAnswer: 3*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/9 - -7\/9. What is the third smallest value in 1\/3, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**5\/5 + 692*p**4\/5 + 13920*p**3 + 643072*p**2\/5 - 135790592*p\/5 + 201326592 = 0.\nAnswer: -128, 8, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -518061 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 13 = 5*p + 1, -2*k + 4*p + 14 = 0. Suppose -3*m - 4*i + 3 = -k, i - 14 = -4*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 886631037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 a factor of 1879836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**5 + 1467*g**3 + g**2 + 10*g + 86 wrt g?\nAnswer: -60*g**2 + 8802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22755958*d**4 + 52361369*d wrt d.\nAnswer: -273071496*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 13*g**2 - 13*g + 20. Let q be w(13). Let j = -142 - q. Suppose 2*u = 0, 5*h = -3*u + j*u + 20. Solve 10 = h*a - 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*a + 3 = 0, -4*o + 9157 = -5*a. List the prime factors of o.\nAnswer: 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*m + 4*m - u, -5*u - 15 = 0. Solve 0 = 5*o - m*a + 7, -10 = -3*o - 5*a + 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-3)\/(-7))*219474\/(-2389828).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8746530 divided by -5.\nAnswer: -1749306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/4*-41)\/(37\/(-296)). Let l = 87 + -46. What is the greatest common divisor of t and l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 19, -3, -2 in ascending order.\nAnswer: -9, -3, -2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 127892, 255785, 383678, 511571, 639464, 767357?\n\"Answer: 127893*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(171)) + 1 - ((0 + sqrt(19))*2 - sqrt(19) - sqrt(19))**2 - (sqrt(38)\/((sqrt(22)*3 - sqrt(22))\/sqrt(11)))**2.\nAnswer: -2*sqrt(19) - 15\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232452 divided by -6.\nAnswer: 38742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*m - 203 = 0, 2*s - 49 = 5*m + 156. Solve 11*b - 56 + s = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + h = -7, -13*d = -8*d - 2*h + 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4\/2 + 16*d**3 + 37*d**2\/2 + 5*d.\nAnswer: d*(d + 1)*(d + 5)*(5*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(-2) + (12 - 3))\/(-1 + -1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -114587 or -114588?\nAnswer: -114587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 13. Suppose j - u*j = -35. Let h(l) = 3*l**2 - 10*l - 4. Let i be h(4). Solve i*a = 2*a + 4*q + 6, 4*q + j = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 8. What is the remainder when 34 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/1860 and -41\/1550.\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*5*(1 + sqrt(2000)) + -2*sqrt(2000)*1*-6)*-5*4)**2.\nAnswer: 5200000*sqrt(5) + 135450000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 + 9*n - 1. Let d(a) = -3*a**2 + 14*a - 2. Let p(t) = -5*d(t) + 8*i(t). Suppose -m = z - 2, 2*z + 1 - 13 = 2*m. Give p(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 5*o. Let g be c(5). Let u = 9593 - 9549. Sort g, u, -2.\nAnswer: -2, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 11*o - 13. Let b = 24 - 20. Let x be c(b). Calculate the highest common factor of 93 and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -367900 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 363\/(-484) - (-19)\/36. Let u = 10 - 10.2. Which is the nearest to u? (a) -1\/3 (b) 2\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -73\/4 or 1\/1687?\nAnswer: 1\/1687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 6260349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9bb (base 16) in base 6?\nAnswer: -15311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3582395 smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1500 divided by -750\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 2*f - 21, 30*f - 25*f = 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((0 + (0 + sqrt(252))*3*5)*4)**2*6*1.\nAnswer: -10886400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4 = -u, -4 = -4*o - 4*u. Let g(w) = -w - 7. Let d be g(-3). Sort o, d, -5 in descending order.\nAnswer: o, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 549 - 566. Let m be 18 + u - ((-2 - -1) + 0). Solve m*g + 1 = -1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by (2 - -2 - 9)\/(-1 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2266*d**3*l**2 + 2982*d**3*l + 10168*d*l**2 + 1790*d*l wrt d.\nAnswer: -13596*d*l**2 + 17892*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p**4\/5 - 4349898*p**3\/5 - 5219826*p**2 + 30449034*p\/5 = 0 for p.\nAnswer: -724977, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 51. Suppose -f = -0*f. Let k = 0 - f. Solve -y = -h - 5*y + 25, -2*h + a*y - 10 = k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 626.9?\nAnswer: -632.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkkl. What is prob of sequence klk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 4:41 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/81 and (-92)\/18 + 14\/(-32 - 10)?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - (-16 - (-30 + -8)) - 79?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**4\/12 - v**3 + v**2\/2 + 6*v. Let f(x) = -2*x**3 - 19*x**2 - 7*x + 22. Let j be f(-9). What is g(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233177502?\nAnswer: 2, 3, 61, 637097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1412 (base 6) in base 15?\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.29 - -7.29. Let n = -1.3 + 1.5. What is the fourth biggest value in -0.4, h, n, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119065, 238126, 357187, 476248, 595309, 714370?\nAnswer: 833431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 9*d + 844. Suppose a = d + 652. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/2)\/(5 - 3). Suppose g = -2*s - 8*s + 720. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 10. Let c(k) = k + 9. Let d(s) = -5*c(s) - 4*t(s). Let i be d(-10). Suppose i*g + g - 72 = 0. What is the highest common factor of g and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 9*s - 4. Let v be g(11). Let d(t) = -3*t**2 - t**2 - v + 18. Let u(i) = -3*i**2. Calculate d(u(a)).\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 145488 and 312.\nAnswer: 1891344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/2704812 and 103\/9016040.\nAnswer: 27048120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 544243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7 + 0*o**2 - 968*o**3 + 338*o**3 + 16*o**4 + 459*o**3 + 4*o**2 + 364*o**3 - 19*o wrt o?\nAnswer: 384*o + 1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 11 = 1. Let z be -6 + (-3 + 3)\/g. Let a(m) = m**2 - 3*m. Let w(u) = 2*u**2 - 5*u. Suppose -3 = -t + 7. What is t*a(n) + z*w(n)?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let j = 3 + d. Let q = 3.05 - 0.05. Which is the third biggest value? (a) q (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*sqrt(77)*-1)\/(sqrt(112)*2) + -5)*-1.\nAnswer: sqrt(11)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383 = -3*x - b + 285, -5*x - 4*b + 1118 = 0. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26287, 52951, 79963, 107329, 135055, 163147?\n\"Answer: v**3 + 168*v**2 + 26153*v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/4, 8, 4\/7, -6, 0.5 in descending order.\nAnswer: 8, 1, 4\/7, 0.5, -1\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 + -2132015?\nAnswer: -2132035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1991\/9 + -221. Suppose -r = -4*r + 9. Suppose 6 = -4*v - 0*v - r*f, -4*f - 8 = 3*v. Is o bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**4 - 26*h**3 + 5*h - 12?\nAnswer: -36*h**2 - 156*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-11 - (2 - 6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 7*t. What is r(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 2. Let h be (-4 - (-4 + 1))*7. Let y be c(h). Let x(j) = -j**2 - 6*j - 6. Calculate x(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16, -34, -54, -76, -100, -126?\n\"Answer: -i**2 - 15*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5465.391 meters?\nAnswer: 546539.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/3039 and -74\/35455.\nAnswer: 106365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/7, -16, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -19750.\nAnswer: -19750.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 39*i - 344. Let o be a(-24). Suppose 0*m = 4*m - 512. What is the greatest common factor of m and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -38, 3, -10, -1 in descending order.\nAnswer: 3, -1, -10, -16, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/210 and -187\/90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -9*t - 126. Calculate j(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/2 of a centimeter?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*(sqrt(2448) + 1) - -3*(2*sqrt(2448))**2))*2 + 0.\nAnswer: 24*sqrt(17) + 58754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764\/5*m**2 - 428*m**4 + 0 + 1266\/5*m**3 + 5*m**5 + 17*m = 0.\nAnswer: -1\/5, 0, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 13292844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 26*l**3 + 28*l**3 - 5*l)*(0*l - 2*l + l)*(-4 + 1 + 4).\nAnswer: -2*l**4 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 15*s**2 - 18*s - 30. Let n be l(-14). What is the greatest common divisor of 208 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722795803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 16. Let o(v) = 4*v - 48. Let a(c) = 2*o(c) + 7*u(c). Let l be a(-11). Suppose 8*p = l*p + 96. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4921\/4 - -1230. Let b = 149\/15 + -43\/5. What is the nearest to -0.2 in 1\/7, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 441 + -438. Solve 0 = -j - 8*y + 11*y + 8, 0 = 3*j - q*y - 18 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 + -137 + (-1092)\/(-22)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111958 or 112063?\nAnswer: 112063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + z + 27. Let o be u(5). Let r(v) = 8*v + 4. Let m be r(o). Calculate the highest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - 46 - (-7 + -1 + 71)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -781760, -781759, -781758?\n\"Answer: y - 781761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0038795 rounded to five decimal places?\nAnswer: 0.00388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -54901 divided by -2387\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -4.\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21951 greater than 21947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021475075 to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3193089714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1 = -1. Let l(m) = 2 - 2 + m - 5. What is l(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 476, 1191, 2240, 3623, 5340?\nAnswer: 7391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2. Let a(q) = -7*q**2 - 17*q**2 + 21*q**2. Determine c(a(f)).\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00083539 to five decimal places.\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -439 divided by -439\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 - 17*k**2 - 9*k - 6. Let q be o(-8). Solve -p = -3, q*m - p + 4 = p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -90 (b) 1 (c) -0.0027 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*z + 388 + 414 = -4896 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -c + 8, 32 = -3388*x + 3411*x + 4*c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.279 - 158.069. Let u = y + 157. What is u rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537098?\nAnswer: 2, 17, 15797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5731 + 1173?\nAnswer: 7124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158 - 28. Suppose -10*n + z = -350. Calculate the greatest common divisor of 72 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 70938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (88\/825*-5)\/(2\/5). Let y = 0.3 - 0.5. What is the fourth smallest value in y, -1, 0.09, f?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 7, s: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 5*q. Let b(v) = v**3 - 12*v**2 - v + 17. Let u be b(12). Let k be p(u). Solve s - 3*s = k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -6, -9, 2\/11, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 - 3031*y**3 + 9084*y**3 - 3055*y**3 + y**2 - 3037*y**3 - 4*y**2.\nAnswer: -39*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -266*h + 1492 - 162 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -54*h**2 + 685*h + 1016. Give j(14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5\/13 - 686*o**4\/13 + 57788*o**3\/13 + 177500*o**2\/13 + 178882*o\/13 + 59858\/13.\nAnswer: 2*(o - 173)**2*(o + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27\/5*v - 9\/5 - 8\/5*v**2.\nAnswer: -(v + 3)*(8*v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*v = -z - 3, z + 4*v - 6 = 0. Let p be (6\/30)\/((z\/(-5))\/2). What is the second smallest value in 1\/4, 4, p, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*o = 46*o + 50. What is the second derivative of 29*h - 21*h**3 - 53*h**o + 18*h**5 + 38*h**5 wrt h?\nAnswer: 60*h**3 - 126*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88436 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 777, 946, 1237, 1656, 2209, 2902, 3741?\nAnswer: 4732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g + 54 - 37 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 585 and 423.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -780*i + 20694 = -778*i - x, 3*i - 31028 = -5*x. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -520632.15 less than 4.554?\nAnswer: 520636.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, p: 5, i: 2}. What is prob of sequence ipp?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 + (-77)\/33. Which is the nearest to 2\/9? (a) l (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1394, 2811, 4238, 5681, 7146, 8639, 10166, 11733?\n\"Answer: f**3 - f**2 + 1413*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 246877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000505 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 64.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 4*u**2 - 2*u - 1. Let g be t(2). Suppose g*p + 2*p = 70. Calculate the highest common factor of p and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 7. Suppose -4*r + x*r = 3*i - 1038, -5*r + 360 = i. Suppose -4*f - i = f. Round f to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315307833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 8:50 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 4. Find the common denominator of 0\/1 + (-25)\/9 and (44\/165)\/((-1)\/b).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9120332.5 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l - 57 = 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 5) to base 2.\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91 * 0.5.\nAnswer: -45.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(16)\/sqrt(2)) + (sqrt(171) - (sqrt(171) + -1 - sqrt(171)))**2 + 3.\nAnswer: 7*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/7 - 100*r\/7 - 208\/7.\nAnswer: 2*(r - 52)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9262243, -9262245, -9262247, -9262249, -9262251, -9262253?\n\"Answer: -2*f - 9262241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-2)*f)**(-2\/119)*f**(-10)*f\/(f\/f**4) assuming f is positive.\nAnswer: f**(-716\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - 8596787423803\nAnswer: -8596787423803.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-3)*(9\/6 + 0). Let m(k) = k**3 - 21*k**2 - 23*k + 27. Let v be m(22). Sort g, 3, 11, v in ascending order.\nAnswer: g, 3, v, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 202124167 to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxyo when four letters picked without replacement from {y: 4, o: 7, g: 4, x: 3}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.04 (b) -0.08594 (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300417?\nAnswer: 3, 13, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 0 + -5)*-1)**2.\nAnswer: -10*sqrt(13) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 4*c - 2*c. Let p(n) be the second derivative of -1\/3*n**3 + 322 + 0*n**2 + 2*n. Determine p(o(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a minute?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 108 + 7. Suppose 0 = -0*g + g - c. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-36)\/(-44) - (-4)\/22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -296, -468, -660, -878, -1128, -1416?\nAnswer: -1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -31*u**2\/4 + 55*u\/4 + 7\/2 = 0.\nAnswer: -7\/31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, t: 1, c: 4, x: 1, e: 1}. Give prob of sequence ebx.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 244173475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 221 - 96. Suppose -4*u + y = -751. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/29*(-8)\/12*(-696)\/64?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 10*l**2 + 3. Let a(h) = -h**2 + 8*h**2 - 899 + 20*h**2 + 906 - 6*h**2. Determine 6*a(o) - 14*r(o).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*a = 44, 4*a = 3*a. Solve u = 5*d + 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51.3 - 51. Let j(t) = 6*t + 2. Let v be j(-1). What is the closest to -3 in 3\/5, y, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbnkblbbll. What is prob of picking 3 l and 1 k?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 6*j**2 + 7*j + 4. Let y be c(-7). Solve -2*b - y = 3*f - 24, -3*f + 32 = 5*b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -295982163\nAnswer: -295982163.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 d when three letters picked without replacement from {j: 1, u: 1, d: 4, t: 7, g: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*m + 7 + 2, -3*m - l = 3. Solve 8 = 4*q - 3*u, -2*q + m*u + 3*u = 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 39. Let v = j - -12.9999989. What is v rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(19\/(646\/187))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 8:58 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 5:38 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 77.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t + 150. Let v be b(24). Solve -2*h - 8 = 0, 5*r + 3*h + v = -1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27216.5 rounded to the nearest 100?\nAnswer: 27200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 87559054 and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012495744 to five decimal places.\nAnswer: -0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + sqrt(425)*1)*-6*-3*5.\nAnswer: 450*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 1, -0.1, -0.31, -0.27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 129\/(-84))\/(9\/(-6)). Which is smaller: y or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 28*l - 87. Let s be m(-24). Solve s*z + 28 = 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 20*f**2 - 21*f + 16. Let v be b(19). Let o = v - -487. List the prime factors of o.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129300000 rounded to the nearest 1000000?\nAnswer: 129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = -n, -2*n + 6*n + 10 = -5*u. Solve d = -0 + u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/4*((-1472)\/40)\/(-46).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 8 = 22. Let f be (v - 0) + (-12)\/(-12). Solve -15 = -6*r + f*r - 5*q, -r - 2*q = -5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 194 - 234. Let n be t\/(-32) + (-2)\/8. Solve 5 = o + n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*k + 7*k + 24. Suppose -b - 2*g = -97 - 848, k*b = 3*g + 3824. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1251?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1467, -1510, -1553?\nAnswer: -1596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(60\/(-54069))*1. What is the highest common factor of 269 and b?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89593 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4\/4 + 76635*y**3\/2 - 488835042*y**2 - 14697408960*y - 27439171200 = 0. What is y?\nAnswer: -28, -2, 25560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**2 + 5*x - 30 = 0. Calculate x.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 220, 203, 176, 133, 68, -25?\n\"Answer: -g**3 + g**2 - 13*g + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6409267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*1 + 413\/59. Solve -3*p + m*p = -9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02805112504 to five decimal places.\nAnswer: 0.02805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(8\/(-1))*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192504930 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -2\/3*r**3 + 0*r + 0*r**4 + 0*r**2 - 3 + 2\/5*r**5. Find the third derivative of k(t) wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -47640016.\nAnswer: 1\/23820008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewed when four letters picked without replacement from wewieiejeeedwewhwwew.\nAnswer: 49\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106977420 by -8355.\nAnswer: -12804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 215, 33, -2, 13, 5.\nAnswer: -5, -2, 3, 5, 13, 33, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**3 + 3*p**3 - 22*p**2 + 10*p - 3 - 6*p - 3*p. Let s(r) = -r**3 - 21*r**2 - 3. Let g(l) = 3*s(l) - 2*t(l). What are the prime factors of g(-19)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/(-4)*141\/(-94).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 284 + -284. Which is the smallest value? (a) -4 (b) -1\/3 (c) l (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 v when four letters picked without replacement from jhheemteehjttev?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 43. Let t = 11 + n. Suppose t = -2*y + 49 + 15. What is the remainder when 60 is divided by y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33731 and 758000?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 64 = 48*g + 183 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9229920 divided by -4\nAnswer: 2307480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/7)*x*(x*x**(-7))\/x*(x*x**(-5))\/(x\/x**3))\/((x**1)**(-1\/3))**(6\/11) assuming x is positive.\nAnswer: x**(-613\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1179*k**5 + 2*k + 2*k - 1698*k**5 + (-4*k + 2*k + 3*k - k**2)*(3*k**3 - k**3 + 0*k**3) - k**4 + k**4 - k**5.\nAnswer: -522*k**5 + 2*k**4 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 19 + 3. Suppose 3*k - 12254 = -0*c - c, d*k - 5*c - 16307 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/2 - -4)*(-16)\/6. Solve 5*r + v = -2*v - 18, f*v - 5 = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a48db + 23?\nAnswer: a4920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1479828 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17910 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2345447 to 2 dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sttttstt. What is prob of picking 3 t and 1 s?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23229 + 1.\nAnswer: -23228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -9 (c) 4378 (d) 2 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7943.6 * 65.3\nAnswer: -518717.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000592 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -2*n + 2*g, 0 = 6*n + 129*g - 125*g - 176 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14532083\/2523410954 - 15249784678069415839\/10353138781454590. Let m = 518\/74597 - n. Let q = m + -1473. Is 0 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 4252137*x - 2126090*x - 2126096*x + 1.\nAnswer: -49*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11231\/2312 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 - r**2 - 3*r**3 + (-7*r**2 + 3*r**2 - 11*r**2)*(-4*r + 0*r - 6*r) to the form h*r + t*r**2 + v*r**3 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = 11*x - 428. Suppose -19506 = x*r - 63*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -1 (c) 2\/337 (d) 4\/5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 333*r - 6622. Let w be y(20). Solve 39*o = w*o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s - 5. Is 11 a factor of l(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/8)\/(4*(-2)\/(-32)). Let y be (1080\/225)\/(11\/h). Do -2 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + v + 42. Let d be q(-6). Suppose -7041 + d = 3*g. Round g to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 19*t + 71. Let b be r(-17). Let n(a) = -b - a + 105 - 30 - 39. What is n(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000992 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (26\/6)\/(1\/3). Suppose 0 = 4*l + w - 173. What is the tens digit of (-218)\/(-10) + 8\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/10)\/(8\/288*-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 2)*(2 + 1 - 1 + (-6 + 2 + 3)*(3 - 2 - 2))*(4 + 0 - 5)*(382*x**2 - 382*x**2 + 20*x**5 + x).\nAnswer: 300*x**5 + 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*h - 8*h**2 - 15*h)*(-7*h - 35 + 35).\nAnswer: 56*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**13\/q)\/(((q**(1\/3)\/q)\/q)\/q) assuming q is positive.\nAnswer: q**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3929512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102729585*n - 94216714 with respect to n.\nAnswer: 102729585","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**5\/110 + 5*c**4\/6 - 56*c**3\/33 - 16*c + 43. Solve k(h) = 0.\nAnswer: -56, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2 + 14968 - 13 - 3\/((-15)\/(-40))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -821, -1634, -2543, -3416, -4121, -4526?\nAnswer: -4499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 43 = -22 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 5*z. Let i be -112*(z + 0 - 2). Let f = -2914\/13 + i. Which is the smallest value? (a) 3 (b) -2\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 2) to base 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.81 + 0.19. What is the closest to a in 0.1, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + (sqrt(60)\/(2*sqrt(192) + sqrt(192)) - (-4 + sqrt(5) + (1 + sqrt(5) - sqrt(5)) - sqrt(225)\/sqrt(5))) + -5)**2.\nAnswer: 25*sqrt(5)\/3 + 3125\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 621, 1526, 2431, 3336?\nAnswer: 4241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1387\/43104 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 30 = -5*k, -4*k + 0*k = -3*y + 3. Suppose 0 = -0*g - k*g + 6. Which is the third smallest value? (a) g (b) -0.2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 37475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r**2 + 10*r - 9. Let i be j(1). Let u(x) = x**3 + 5*x**2 + 13. Determine u(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + -1*sqrt(1053) + 3 + 3 + sqrt(1053) + 0)**2 + (sqrt(468)*2 + -1*sqrt(78)\/sqrt(6))**2.\nAnswer: 108*sqrt(13) + 2662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68)*2 + 1*sqrt(68)*1)\/(sqrt(16)\/(1*sqrt(4))*-3).\nAnswer: -5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/7 + (-82)\/(-14). Suppose -4*r - d = -26. Let v be (1\/(-5))\/(-4 + 4 + -1). Put -2, r, v in decreasing order.\nAnswer: r, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/5 - 862846*h\/5 = 0. What is h?\nAnswer: -431423, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25887, 51775, 77663, 103551, 129439?\n\"Answer: 25888*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10*-77*(-7)\/7. Calculate the remainder when 120 is divided by ((-3)\/(-7))\/(10\/j).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212010 is divided by 59?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8184780 divided by 3954\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**2 - a + 1. Let v be x(1). Suppose 4*r + c = -v*c - 3, -4*r + 18 = -2*c. Solve -r*s - 4*b = -2*s, 3*s + b - 11 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2611 and -39429304.\nAnswer: -39429304.2611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2340 a factor of 588355560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 4*m + 1. Let n be k(4). Suppose -n = r - 36. Suppose -99 = -3*q + 2*t, -4*t + r*t = 0. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333421 (base 5) in base 16?\nAnswer: 2dd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1707983*u**3 + 2*u**2 - 1197*u + 197 wrt u.\nAnswer: -10247898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, i: 1}. What is prob of sequence qq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 0, -0.2, 2\/11 in decreasing order.\nAnswer: 5, 3, 2\/11, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (40\/(-5))\/((-1)\/4000*1). Let j be 27090\/43*z\/(-6). Round j to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39480804?\nAnswer: 2, 3, 11, 167, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 212494618?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f + 2*f - 3*f + (17 + 10*f - 17*f + 6*f)*(-1 - 3 + 5) to v*f + h and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16131 - 8070 - 8064 + 103*g.\nAnswer: 103*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10702971?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (18724 + 19018 + 16055 - 6717 + 12338)*(-j**2 - j**2 + 4*j**2 + j) in the form b*j + y + p*j**2 and give b.\nAnswer: 59418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*s**2 + 37*s**2 + s**2.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(-3*5\/30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.28359535 + -0.7335959. Let x = -0.45 - g. Round x to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-58)*((-611594)\/73)\/71 + -2?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 19 = 5*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**5 + 27*k**4 + 63*k**3 + 33*k**2.\nAnswer: -3*k**2*(k - 11)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5332.8252 - 5333. Round x to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 take away 7988183?\nAnswer: -7988182.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103911.6017 + 103894. Let d = j + 17.6. What is d rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1. Let y(s) = 5*s**2 - 20*s**2 + 8 + 7*s**2 + s**3 + 8*s**2. Give -6*p(l) - y(l).\nAnswer: -l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 1. Let f be z(-3). Let x(q) = -q**2 + 21*q - 100. Let p be x(5). Let l be p\/90 - (-410)\/(-18). Sort l, -3, f in ascending order.\nAnswer: l, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 2, q: 3, h: 1, a: 4}. Give prob of picking 2 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrlr when four letters picked without replacement from lrrrrrrrrrrlrrl?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 12*x + 3. Let i be k(-10). Let w = i + 101\/6. Which is the third biggest value? (a) w (b) 7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 11:26 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172255, 688983, 1550197, 2755897, 4306083, 6200755, 8439913?\nAnswer: 11023557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 29. Solve 2*g = -3*b - k, -2*g - 2*b = -5*b - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 514*f - 511*f - 48. Solve 8*o - f = 12*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-15)*-5*156\/(-4)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1275 + 3675. What is w rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -20. Let h = m - -50. What is the closest to -0.1 in h, 1\/5, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 134*a + 137*a + 6, 3*w + 4*a = 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i + 0*i - 11*i - i - 7*i + i + (0 + 1 + 0)*(0*i - i + 2*i) - 5*i + 3*i + 4*i + 2*i - 6*i + 2*i.\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 1219*m**3 - 11*m**2 + 11*m - 277. Let z(u) = 407*u**3 - 4*u**2 + 4*u - 93. Let c(v) = -4*h(v) + 11*z(v). Differentiate c(q) with respect to q.\nAnswer: -1197*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + z + 0 = -8, 3*j = -5*z - 16. Let b be 10\/j*(-24)\/40. Differentiate -b + 72*u - 2 - 76*u with respect to u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3.2. Let f(t) = 2*t + 3. Let w be f(-4). Let r be 4\/(-3)*3\/w. What is the nearest to -2\/3 in r, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4, -9580, 15.\nAnswer: -9580, -12, -4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 1974093.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2 + w**3 + w**3 - 3*w**2 + 2 in the form f + j*w + l*w**3 + y*w**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58359 + 101322. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1478 divided by 92?\nAnswer: -739\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**3\/3 + w**2\/2 - w + 4. Give l(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53\/7, 5431, -0.3.\nAnswer: -0.3, 53\/7, 5431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27751079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8)**(-45) assuming b is positive.\nAnswer: b**(-360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {u: 2, j: 7, o: 2}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4059220 and 275.\nAnswer: 20296100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-11 + 7))\/(33\/231)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*b - 0*b - 24, 4*y + 2*b = 42. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6044 = -10*p + 2466. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (4 - 11) + -25?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 136884959.\nAnswer: 5\/136884959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 19860?\nAnswer: -1986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 183)*(-9 + 4) + -4. Suppose 895*u = r*u - 18. Suppose 0*v - v = -4. Solve j - u*j = v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238924, 239825, 241326, 243427, 246128, 249429, 253330?\nAnswer: 257831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -811.\nAnswer: -23\/811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/2 + 2\/4*-6. What is the third derivative of 91*n**2 + 5*n**4 - 11*n**j + 7*n**4 + 9*n**4 wrt n?\nAnswer: 240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (8 - 16) - -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1662*o + 782708. Calculate v(-471).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 32 = -4*t. Let a(h) = -37*h + 20*h - 7 + 14*h. Let u be a(-5). What is the greatest common divisor of t and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -957 + 957.3. Let z be 3\/30 + 2*(-5)\/50. Which is the closest to -0.3? (a) l (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l - 23. Let u be b(-7). Let d(q) = 3*q**2 - 2*q. Let g(j) = -15*j**2 + 11*j. Determine u*g(r) - 11*d(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 210 and -37?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5614*n + 6 - 6 - 866*n.\nAnswer: 4748*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -56*a**5 + 2*a**2 - 58*a - 2. Let b(w) = -223*w**5 + 9*w**2 - 232*w - 9. Let p(f) = -2*b(f) + 9*j(f). Find the second derivative of p(x) wrt x.\nAnswer: -1160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -8*m**3 + 3*m**2 - 3*m - 2. Let f(l) be the first derivative of l**4\/4 + l**3\/3 - l**2\/2 - 9225. What is -3*f(d) + j(d)?\nAnswer: -11*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -762560, -762631, -762796, -763103, -763600?\nAnswer: -764335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 581941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -14*d**3 - 5*d**2 - 4. Let f(t) = -t**3 - t**2 - 1. Let y(r) = 4*f(r) - j(r). What is the third derivative of y(x) wrt x?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*619740\nAnswer: -9296100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10387 - 10392. What is the nearest to -0.2 in 10, -1, 4\/7, c?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674664 at least as big as 674857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/35960 and -127\/2480?\nAnswer: 71920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o + 13*o**2 - 23*o - 3 - 34*o**2.\nAnswer: -21*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1118 divided by 13.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0133 (b) 1661 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 1 + 1)*(-723*o - 2*o**2 + 947*o + 1 + 980*o).\nAnswer: -2*o**3 + 1204*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iltffdfttd. What is prob of sequence ilt?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o - 4. Suppose -s = -2*i + 12 + 3, 4*i = -5*s + 9. Determine b(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 11:52 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27768565.\nAnswer: 5, 11, 17, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 586.303 rounded to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2700 and 2250.\nAnswer: 13500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 730112052 to the nearest integer?\nAnswer: 27021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -315, -774, -1403, -2178, -3075, -4070, -5139?\nAnswer: -6258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(2))\/sqrt(12) + sqrt(12)\/sqrt(4)*1)**2*6.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89479, 89013, 88543, 88069, 87591?\nAnswer: 87109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 198 - 222. Suppose -4*j + 84 = 4*q - q, 0 = 4*j + 4*q - l. Suppose -5*z + 3*z + 8 = 0. Solve g + z*u + j = 0, -2*g + 4*g = -3*u - 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488 = 4*j - 60. What is the remainder when j is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.591 times -0.4\nAnswer: -6.6364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22044385*v + 35325208 wrt v?\nAnswer: -22044385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**3 + u**2 - 2*u - 13. Let t(z) = 9*z**3 + 2*z**2 - 5*z - 26. Determine 5*p(i) - 2*t(i).\nAnswer: 2*i**3 + i**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.536 take away 26.09?\nAnswer: -27.626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from oozoooozoooo.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/16)\/((-2)\/52). Let q be ((-84)\/(-91))\/6 + (-152)\/(-26). Find the third derivative of -h**2 + 5*h**2 + 7*h**6 + s*h**q wrt h.\nAnswer: 2400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*4*(4 + sqrt(567)) + -2)**2.\nAnswer: 164160*sqrt(7) + 1342468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 314075880 a multiple of 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 119625\/4 - 29906. Let k = -5.92 + -0.08. Put -19, m, k in increasing order.\nAnswer: -19, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 389*z - 1360*z + 241*z. Let v(l) = -2*l**2. Calculate v(t(k)).\nAnswer: -1065800*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3009a87 (base 12) to base 2.\nAnswer: -100010001111001011000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-5)\/z*z*z*z**(11\/4)*z)\/(((z\/z**3*z)\/z)\/(z*z**(6\/5))) assuming z is positive.\nAnswer: z**(99\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*k + 24 = 186*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681155 a multiple of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -4\/9 (c) -1\/5 (d) 80.8 (e) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 2*r**2 + 17*r - 10. Let n be j(5). Suppose 0 = 3*l + o + 25409998, n = -3*l + 4*o + o - 25410010. What is l rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36.6 + -40. Let n = 3 + h. Suppose -2*p + 6*p = 0. What is the closest to p in 1, n, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -17. Let x be -2 - b - 134\/(-2). Suppose -s = -4*r - x, 4*s - 3*s = 3*r + 67. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/(-4)*(-3 + 1). Suppose 4*u + 24 = -2*y, 3*y + p = -2*u + u. What are the prime factors of (y + 0)*(-35)\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -36.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 48.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 + 318*d**3 + 7995*d**2.\nAnswer: 3*d**2*(d + 41)*(d + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - -469\/9. Let a = 18.58 - 18.58. Sort -2\/5, n, a.\nAnswer: n, -2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 17*x + 70. Let h(s) = s**3 - 5*s**2 - 3*s. Let i be h(5). Let w = x - i. What is the smallest common multiple of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 - 22. Let v(x) be the first derivative of -x**3 + 106. What is v(p(m))?\nAnswer: -12*m**4 - 264*m**2 - 1452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 373*g + 8 = -377*g, -5*o + 3*g = -4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 540678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 12*c**2 - c + 2. Let d be y(2). Suppose -8*b = -4*b - 12. Suppose -b*v + d + 24 = 0. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4.4 (b) 17\/196 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 2, 0.1, -89394.\nAnswer: -89394, 0.08, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 2:07 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2217427.\nAnswer: 29, 76463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*v. Let g(r) be the third derivative of -r**4\/24 + 25*r**3\/2 - r**2. Let u be g(v). Calculate the highest common factor of u and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 1:58 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173333.\nAnswer: 29, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f**3 + 16*f + 13. Let i be ((-6)\/7)\/(3\/21). Is v(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1205*a**2. Let r(s) = -90660*s. What is o(r(i))?\nAnswer: -9904178898000*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 180948627 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: What is the cube root of 1016995157 to the nearest integer?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9414105.\nAnswer: 3, 5, 569, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 442*d*r**4 - 2*d*r**3 + 20818*d - r**5 - r**2 wrt r.\nAnswer: 10608*d*r - 12*d - 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 44 = -3*q, -4*g + 2*g + 8 = 0. Let u = -9 + q. Let n(a) = 137*a**2 + 2*a + 1. Let i be n(u). What is the highest common factor of 17 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) 0 (c) 40 (d) -2\/141 (e) -3\/160\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -164 (base 9) to base 6\nAnswer: -351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 2.7, 62?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 426*t**3 + t**2 + 2*t - 2. Suppose 4 = 2*u, -6*u = -3*i - u - 7. What is the units digit of y(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4513, 9029, 13545?\n\"Answer: 4516*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/40 and 33\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x + 5*x - x**2. Let d(c) be the third derivative of c**5\/20 - c**3\/6 + 4*c**2. Let y(h) = 1. Let j(f) = -d(f) - y(f). Give j(g(n)).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 - j**3 + 5*j**3 + 2988*j - 2*j**3 - 2 - 2985*j to the form k*j**3 + p*j + d*j**2 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8741, -8669, -8597, -8525, -8453, -8381?\nAnswer: -8309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 30. Let o be f(14). Find the third derivative of 3*s**3 + 14*s**3 + 4*s**o + 3*s**3 - 10*s**3 wrt s.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29ce (base 16) to base 8\nAnswer: -24716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**3 + 22 + l**3 - l - l**3 + 2*l**3 - l**2. Suppose 0 = -2*h - 2*w - 8, -5*h + 4*w + 20 = -w. What is the remainder when 64 is divided by r(h)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -10549219?\nAnswer: 12\/10549219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + 63. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*946 + (2 - -2). Suppose -14*z + h + 492 = 0. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify o**14\/o**(2\/31)*((o\/(o\/(((o**10\/o)\/o)\/o)*o))\/o*o)**10 assuming o is positive.\nAnswer: o**(2292\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 355608369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6036462, 12072913, 18109364, 24145815, 30182266, 36218717?\nAnswer: 42255168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 - 46 - (13 - -24).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 585 + -615. Let f = -26 - -6. Let q be g\/f*(-4)\/(-3). Solve 4*w = -5*c + q, -w - 2 = 3*w + 3*c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 431 + 2118. Let y = -35283.119 - -37830.66. Let r = y - g. What is r rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/28 and -89\/6168386.\nAnswer: 12336772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 14*b + 50 - 21 - 20*b + b - 19.\nAnswer: -5*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 0*h**3 - h**3 + 5*h**3 - 2*h**3 + 0*h**3 + (0*h - 2*h + h)*(2 - h**2 - 2).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 141400?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35798, 0.3, -0.4, -0.3, -11 in descending order.\nAnswer: 35798, 0.3, -0.3, -0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*t - 4*t + 21. Let f(k) = -10*k - 6*k + 2*k. List the prime factors of f(t).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9692 is divided by 1934?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60700 and 48.\nAnswer: 728400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -4\/13 (b) 2\/5 (c) 3 (d) 1\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 27*k**2 + 10*k + 9. What is the remainder when 100 is divided by n(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((680\/(-119))\/2)\/(1\/(-7))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 21*c = -15, -3*c = 4754*k - 4756*k + 15 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*l - 22, -l = 3*o - 3*l - 13. Suppose 0 = -3*k - 5*f + 11, 3*f = -5*k + 2*k + 9. Solve -n = -k*n + o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81411*s**4 - 766*s - 16?\nAnswer: -976932*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 4*f - 2*f)*(1 + 0 + 1)*(1 - 5 + 2)*(33*f - 4*f + 0*f)*(-199 + 199 - 22*f) as o*f + r + l*f**2 + c*f**3 and give c.\nAnswer: 5104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.94 - -30. Let u = 1.52 - h. Let n = 1.5400083 + u. Round n to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**11*l)\/l**19*(l**21)**(13\/3))**28 assuming l is positive.\nAnswer: l**2352","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -5) + -15 - -18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354, 94, -166?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0.98. Let t = 0.06 - -0.14. Let c = i - t. What is the third smallest value in 0.4, c, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 209\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16095, -16098, -16101, -16104, -16107, -16110?\n\"Answer: -3*r - 16092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 - 376*m**3 + 23226*m**2 - 454796*m - 1005536.\nAnswer: 2*(m - 67)**2*(m - 56)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*g*m**2*p**2 - 69*g*m**2 + 2*g*m*p - g - 2*m**2*p**3 + 7*m**2*p - 2*p**2 wrt p?\nAnswer: -76*g*m**2 - 12*m**2*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.523136 + -1.\nAnswer: -1.523136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -76 and -75 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v - 2. Let d be g(-3). Let c(f) = -f**3 + 3*f**2 + 4*f + 2. Let i be c(d). Factor -i - 2*s**3 - 1 + 2 + 2*s + s**4.\nAnswer: (s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 18 = -d. Let v(t) = -8*t**3 - 15*t**2 - 5*t - 5. Let p be v(-2). Calculate the highest common factor of d and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-28)\/10)\/(15\/(-75)). Suppose 29 = 4*k + 3*z, -84*z + 83*z = 4*k - 31. Solve -k*w - 26 = b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/74503 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5469, 21897, 49307, 87723, 137169, 197669, 269247?\n\"Answer: 4*d**3 + 5467*d**2 - d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1810 = -5*c - 2*i, 4*c - i = -2*i + 1445. Suppose -3*b + c = 2*b. Suppose 0 = -2*j + 2*z + b, -2 = -z - z. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7))**(-10)\/(l**(-3\/7)*l**(-1\/8)) assuming l is positive.\nAnswer: l**(-129\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 145, 228, 311?\n\"Answer: 83*r + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 934*u + 21868 + 3534 + 9755 = 8071 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108653081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98061?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25469 (base 13) in base 10?\nAnswer: 68870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.4 + 1.2. Let q = 5 + -5.2. Let o = q - r. Which is the closest to -0.3? (a) -2\/3 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 a when four letters picked without replacement from aifieeaaaaia.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 99, 50, -41, -186, -397?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-0.04.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -144*z + 140*z. Factor 22*a + a**2 - 4*a - 11*a - z*a.\nAnswer: a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-119)\/(-34) - -11 - (21 - 9))*-10.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -4. Calculate the lowest common multiple of 2 and (1 - 2) + 7 + i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = r - 94, 3*q + 280 - 97 = 2*r. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -5. Calculate the remainder when 2 + (-11)\/88*0 + -1 + 15 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 841*n - 899*n + 939*n + 889*n + 1016*n in the form j + z*n and give z.\nAnswer: 2786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -505 + 710. Let t = 225 - v. What is the highest common divisor of 100 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.29624 - 24337425.6\nAnswer: -24337425.89624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 373 (base 14) to base 16\nAnswer: 2b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 2) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.014? (a) -0.5 (b) -0.2 (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 820 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1906663*p**2 - 10*p + 3*p + 953320*p**2 + 7*p + 953332*p**2 + 0*p.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(2\/7)*c*c))**(-30))**(1\/13) assuming c is positive.\nAnswer: c**(480\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3*4198035\nAnswer: -12594105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9267, -18613, -27949, -37269, -46567, -55837, -65073, -74269?\n\"Answer: j**3 - j**2 - 9350*j + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + p + 6 = 0. Suppose -945 = p*k - 4308. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t + 3. Suppose -3*s + 25 = 8*k, -15 + 40 = 3*k - 2*s. Let m(j) = 3*j + 3. What is k*z(b) - 6*m(b)?\nAnswer: -8*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*l + 11 + 6*l + 8*l + 8 to the form u + t*l and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by 374302.\nAnswer: -19\/187151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -6851*h**8\/336 - 2937*h**5\/20 - 7733*h**2. What is the third derivative of x(z) wrt z?\nAnswer: -411060*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + b + 72*b**2.\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68224\/185 - -5490\/37. Let n = t - -8661\/40. What is the common denominator of 212\/66 + (-24)\/36 and n?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 284*v + 1979. What is i(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/9)\/(-3*(-1)\/(-9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f + 1. Let j be 1 - (-2 - (0 + -2)). Suppose 7*w - 102 = -10*w. Let d(s) = s. Calculate j*h(t) + w*d(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1472, -1475, -1478, -1481, -1484?\nAnswer: -1487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -35*f**2. Let u(p) be the first derivative of -29*p - 27*p**2 + 29*p + 26*p**2 - 37. Determine x(u(y)).\nAnswer: -140*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402765 is divided by 30979?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(1485\/12))\/((-4)\/(-6))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*c + 42 = 43*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cibcccccccibcbiccicc. Give prob of picking 3 i and 1 c.\nAnswer: 52\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 + 5*d + 8. Let z(v) = -3*v**2 + 10*v + 15. Let c(q) = -5*b(q) + 3*z(q). Determine c(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7) - 112\/(-49). Let m = -2 + r. Suppose m = -6*x + 3*x. Solve f + 2*f - 6 = x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t + 0 - 1\/80*t**5 - 1\/24*t**3 + 0*t**2 + 1\/24*t**4. Factor n(z).\nAnswer: -z*(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnw when three letters picked without replacement from nfwafal?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -766*j + 1532. Determine b(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2. Let p(s) = s - 1. Let j(t) = 354*t - 236. Let z(h) = -j(h) + 236*p(h). Determine z(v(x)).\nAnswer: 118*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 4:00 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5))\/((-242)\/220)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 26. Let m(x) = -9. Let k(a) = 11*m(a) - 4*r(a). Let y be k(0). Factor 14*p**4 - 9*p**2 - y*p**3 - 2*p**5 - 11*p**3 - 15*p**2 - 8*p**2.\nAnswer: -2*p**2*(p - 4)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 11*z**2 + 5*z - 6*z.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/l)**(2\/47)\/(l**(-4))**(-1\/26) assuming l is positive.\nAnswer: l**(-276\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (36 - (26 + -3))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3728722089?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f - 25. Let n(d) = -3*d - 12. Let u(g) = 5*n(g) - 2*q(g). Let v = -18 - -10. Let i be u(v). Calculate the greatest common divisor of 126 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/(-264) + 18 + (-4824)\/264?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -335 (c) 1 (d) -2\/5 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*d + 4. Suppose d*j + 10 = -2*j + 2*y, -20 = 2*j - 4*y. Let x(a) = -a**2 + 4*a - 3. Let g be x(3). Is j greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + sqrt(96)\/sqrt(144))\/(1*sqrt(8)*1) + ((sqrt(108)\/sqrt(3))\/sqrt(2))\/(sqrt(6) - -5*(sqrt(6) - (sqrt(6)*3 + sqrt(6)))).\nAnswer: 23*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}