diff --git "a/data/dm_maths/full_data/10621_11255.jsonl" "b/data/dm_maths/full_data/10621_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10621_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 3*h = -4*f - 74, 3*h = f - 4*f - 78. What is the common denominator of 1 - 5\/(h\/131) and 46\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3 + (3 - 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 38. Put -2\/3, 0.3, v, 2\/9 in ascending order.\nAnswer: -2\/3, 2\/9, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -45, -161, -385, -753, -1301?\nAnswer: -2065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + y + 1 + 4, 0 = x - 3*y - 15. Put -5, -3, x in descending order.\nAnswer: x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 38902132.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1308*p - 8993 = 973*p + 131 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, y: 6, s: 11}. Give prob of sequence syry.\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -11. Let y = 2.64 - 0.34. Let r = y + -0.3. Put 0.2, l, r in ascending order.\nAnswer: l, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 17*k**2 - 75*k - 14. Give q(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -24*j**3 + 7*j**2 - 9*j + 23. Is k(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -30.108. Let l = -0.055 + m. What is l rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -8. Let t(f) = 5*f + 4. Let v(z) = 4*z + 3. Let w(j) = r*t(j) + 4*v(j). Let y(p) = 3*p. Calculate w(y(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16933510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115974268.5 + 5.\nAnswer: 115974273.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 6*s - 11. Let p be o(5). Suppose -2*y + p = 9. Calculate the highest common factor of y and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*f - 140*f = -7800. Let l = -4 + 8. Suppose 13 = l*v - 27. What is the greatest common factor of v and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2 - 35*u + 216. Let b be s(10). Calculate the highest common factor of b and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 6:33 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*a + 30 - 30)*(2 - 2 - 1)*(0*a**2 - 2*a**2 + a**2).\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443 (base 12) to base 11.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*f + 2*i, -4*i = -2*f + 810791 - 810797 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - -60) + -51 + 17 - -120\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -739 = -16*v - 179. Suppose -86*m = -v*m - 102. Factor 5\/3*d**m - 10\/3*d + 5\/3.\nAnswer: 5*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*k - 2*k + 412 = 0, 2*y - 5*k = 412. Let d = y - 206. Solve -5 = -5*l - d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 5 - 3)*(1 - 3 + 3) + 1 - 5 + 6)*((-2*u - 2*u + 2*u)*(0 + 0 + u) - 3*u + 3*u + u**2).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/18*-6 + 2265. Suppose -4*l - 4*j = -2272, 5*j - q = -4*l + 4*j. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 34038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as -18.637989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m - 4. Let l be f(-2). Suppose 0 = l*q - 10 - 0. Suppose -2*y + 15 = -11. Solve -2*n - 2*z = z - 9, y = q*n - 2*z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.7 - -18.57. Let m = p + -0.07. Let v = m - 0.3. Which is the closest to -2\/7? (a) 2 (b) v (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a5 + 5?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 2*z**2 + 29*z + 57. Let v be t(-2). Suppose 2 + 2 = c. Let o = -10 + c. What is the second biggest value in -4, o, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 6*v = -246, 7952*v - 7957*v + 206 = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 3. Determine l(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5*i - 25, 0*i - 10 = 3*o + 2*i. Let m be ((-1)\/9)\/(-1)*-2. Let y = -1 + 0. Which is the closest to -0.1? (a) o (b) y (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376 = 5*p + 2*a + 364, 5*p = -a - 740. Let q = -127 - p. What is the highest common divisor of q and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/1 - 1978\/387. Which is the fourth biggest value? (a) -2\/5 (b) 4 (c) q (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 + y + 11. Let a be p(-4). Suppose -40*l + 153 = -a*l. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 219, 435, 639, 825, 987, 1119?\n\"Answer: -k**3 + 223*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -981 - -980.99999198. Round z to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 58. Suppose y*s = 23*s - 2328. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2292, 2297, 2312, 2343, 2396, 2477, 2592?\n\"Answer: i**3 - i**2 + i + 2291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04554 + 0.05554. Which is the second biggest value? (a) -4 (b) -291 (c) -2\/3 (d) t (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103\/690 + 2\/115. What is the closest to 3\/4 in -1, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3556918.\nAnswer: 2, 1778459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23636758.\nAnswer: 2, 787, 15017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f**6 + 138159847*f**5 + 46*f**2 - 41*f + 16966.\nAnswer: 480*f**3 + 8289590820*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k + 11*k = 4*y - 28, -2*k = -8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15260 (base 7) in base 8?\nAnswer: -10240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 770 - 2446. Suppose b + 109 = -6*t. What are the prime factors of t*(22\/8 - 4)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v. Let x(q) = 10141083*q. What is s(x(z))?\nAnswer: -60846498*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -19*x**2 - 2*x - 1. Let m(r) = 72*r**2 + 138*r + 2539. Let t(d) = -m(d) - 4*p(d). Differentiate t(o) with respect to o.\nAnswer: 8*o - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -85 + (144 - 86) - (8 + 17)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 358, 330, 282, 214?\n\"Answer: -10*y**2 + 2*y + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (4 + -24))*82\/(-30)*-5.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*(sqrt(7) + -1))**2 + 0 + -5 + 2 + 5.\nAnswer: 8*sqrt(7) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4497, -4490, -4483, -4476, -4469, -4462?\n\"Answer: 7*w - 4504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 1192, -13, 0.22?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/4)\/(-6)*3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1123*s**3 + 1081*s**3 + 1172*s**3 + 1124*s**3 - 4475*s**3.\nAnswer: 25*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 282.80154 + -0.04154. Let y = -282 + s. Are y and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 7:00 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -129959 times -0.014?\nAnswer: 1819.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/25 - 22\/(-10). Suppose -3*y = j*y - 110. Solve -4*c + y = -a, -2*a - 3*c = 3*a - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27655\/7 + 3951. Factor 1\/7*o + 1\/7*o**3 + b*o**2 + 0.\nAnswer: o*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 95*m**2 + 35*m - 2. List the prime factors of w(-3).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b - 41. Let h be (-7222)\/(-299) - (-2)\/(-13). Let t be d(h). Let j = 42 - 8. Solve -3*f = s + 12, -4*f - 5*s = j - t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - d - d + 3*d as v*d + r and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2 = 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -209973 bigger than -209746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2268, 4536, 6794, 9036, 11256, 13448?\nAnswer: 15606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*k**4 - 3*k**3 + 56*k**2 - 14*k + 645?\nAnswer: -312*k**2 - 18*k + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-10)\/(-25)*(-2)\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*k, k = -4*z - 0*k. Suppose -a = -4*y + 55, 5*y - 4*a - a - 65 = z. What is the lowest common multiple of y and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 19*v**3 - 22*v**3 + 6*v**2 + v + 60*v**3 - 20*v**3 as m*v**2 + r + u*v + b*v**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by (84\/18)\/((-723)\/243 + 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 227642 and 88967?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -2*t**4\/3 + 13*t**3\/6 - 2*t**2 - 5*t. Let p be b(6). Let l = 399 + p. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 14*g + 16. Let q be m(-9). Let w = q + 49. Let a = 3 - -5. Calculate the highest common factor of a and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 26. Suppose y = v - 5. What is the remainder when 22 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1330\/(-57) - ((-490)\/(-42) + -12).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-152) - 624\/152. What is the biggest value in u, -35, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w = -50*w + 122766. List the prime factors of w.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1654.1 to the nearest 10.\nAnswer: -1650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + j**2 + 5*j + 4. Let d be n(-3). Suppose -664 = 23*z - d*z. Let v = z + -150. What are the prime factors of v?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 190, 560, 1536, 3412, 6482?\n\"Answer: 49*i**3 + 9*i**2 + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - c - 20, -13 = -3*n - c. Let m(x) = x**2 + 181*x**3 + 0*x**2 - 3 - x - 182*x**n + 3*x**2. Let v = 10 + -6. Calculate m(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -50, 1, 0.2, -268?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 33. Let s(g) = -g**2 + 1. Let y be s(1). Let z be l(y). Suppose -2*m = -m - z. Calculate the greatest common factor of m and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 9, h: 5}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*o = -191*o - 522. Calculate the smallest common multiple of 270 and o.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 31*z + 1. Is c(26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**6 - 147858*r**4 - r**3 - 2416*r**2 + 407?\nAnswer: -240*r**3 - 3548592*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (4 - 1) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/17 (b) 5 (c) -32 (d) 6\/4477\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163497 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - -22. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((10 - (-6 - -13 - -1)) + 16).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v - 6. Give m(7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - k**2 + 4*k + 3. Let q be f(-2). Let z be q\/4 + 39\/12. Let r = 4 - -1. What is the second smallest value in -0.3, z, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**4\/4 - 1945*w**3\/2 - 133487*w**2\/4 + 69660*w - 35316 = 0.\nAnswer: -36, 1, 3924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0499 + -3.0499. Let o = -346\/5 + 69. Put -0.1, k, o, -0.5 in descending order.\nAnswer: -0.1, o, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 88657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 1492.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93.1 + 93. Is -131 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 7, 410, -4, 4.\nAnswer: -4, 1, 3, 4, 7, 410","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.04882?\nAnswer: 0.19528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7982.679g to micrograms.\nAnswer: 7982679000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (-42 + 6 + 5)\/4*-108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 233 - 100. What is the greatest common divisor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**3 - 2*u**2 + u. Give c(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-49)\/35*-2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -12*y**5\/5 - 189*y**4 - 3841*y**3 + 6048*y**2 - 3072*y - 117. Factor m(h).\nAnswer: -3*(h + 32)**2*(2*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (150*a - 4879 + 4879)*(3 - 1 + 1) to the form q*a + p and give q.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1259 divide 16997081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 510 - 507. Suppose -n*g - 5 = 5*c, -5*g - 14 - 9 = c. Solve -25 = -7*b + c*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -32, -26, -20, -14, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 9:13 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 1451319404305 + 1451319404305.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 11, t: 1, s: 1, l: 2, g: 3}. What is prob of sequence ggt?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 - m + 3*m**3 - 5*m**3 + 0*m + 0*m - 1 as o*m + n + t*m**2 + k*m**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from jjjjjjjjjjjk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44425.7 nanograms?\nAnswer: 0.0000000444257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qofk when four letters picked without replacement from qkfollk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yiycycccyyyyyycciy. What is prob of picking 2 c?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85392304?\nAnswer: 2, 67, 79657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*g = 20, 0*v + 3*v + 4 = 4*g. Suppose -4*w = -7*w + 6. Suppose -w*s + 4*s = 24. What is the highest common divisor of s and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1920 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1452)\/(-7293) - (-66)\/(-187).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250733?\nAnswer: 7, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) 0 (c) 6 (d) 771316\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h**5 - 17*h**4 - 23*h**3 - 248*h. Let k(j) = j**5 - 6*j**4 - 8*j**3 - 83*j. Let v(p) = -17*k(p) + 6*y(p). Find the second derivative of v(z) wrt z.\nAnswer: 140*z**3 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, 14, -60, -244, -574, -1086, -1816?\n\"Answer: -6*o**3 - o**2 + 45*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 24*p + p**2 - 8 - 10*p - 4*p. Let k be l(-11). Find i, given that 3*i**5 - 3*i**4 - 5*i**k + 6*i**4 + 5*i**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*sqrt(3168) + sqrt(3168)))\/(2*sqrt(1584) + -1*sqrt(176)).\nAnswer: -54*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 966.99993335 - 967. Round w to six dps.\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (6*sqrt(700)*-3 + sqrt(700) - (-2 + sqrt(700) + 2)))**2.\nAnswer: -360*sqrt(7) + 226801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930530 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*m - 34*m = 77189. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 119441656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103\/654 - 1\/109. Let x = -6 - -1. Sort -0.2, -2\/5, a, x in ascending order.\nAnswer: x, -2\/5, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*q + 1)*(-7*q**3 - 5*q**3 - 5*q**3) as i*q**3 + w*q + d*q**2 + u*q**4 + z and give u.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-30) + (-38)\/12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (-12 + 1)) + -8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 = 18*t - 4*w, 19*t + 18*t + 17*w = 32*t + 11 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 less than -1?\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0044 and -0.1?\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*l**4 + 13*l**4 + 8*l**2 - 6*l**4 wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1571*r**2 + 5103*r - 6. Let j(a) = 1580*a**2 + 5105*a - 7. Let f(i) = 6*j(i) - 7*u(i). Find the second derivative of f(p) wrt p.\nAnswer: -3034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 293 + -259. Suppose -3*t + r = -26. Calculate the highest common factor of 50 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*m = 35, -4*f - 5*m = f - 50. Suppose 0 = -2*p + 3*t - 4*t + 1, f*p - 25 = 2*t. Find the first derivative of 2 + 2*g**3 - 2*g**3 + g**p wrt g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123051*a**2 + 209853*a - 1 wrt a?\nAnswer: -246102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 + 73*c - 38. Let b be a(36). Let p(h) = -464*h - 12. What are the prime factors of p(b)?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8806767 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 18. Let p be s(0). Suppose -2*m + i = m - 87, m = 4*i + p. Suppose -4*b + b = -m. Solve -2 = -3*y + b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14240*q + 2 - 12*q**2 - 14171*q + 9*q**2 + 4 to the form m*q**2 + a + z*q and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1160281*q**3 - q**2 + 7789247*q wrt q?\nAnswer: -6961686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*q = -0*q - 17, -l - 4*q = 1. Let j be l\/((-10)\/8) - -1. Suppose -4*m + j*i = -160, -2*m + 4*i - 14 + 88 = 0. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1121 and 9426.406408.\nAnswer: 10547.406408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 1067357 in descending order.\nAnswer: 1067357, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211213\/74184 - 3\/2248. Let b be 1 + 2*(-3)\/(-33). Let m = b + w. Put m, -4, -0.4, -2\/15 in increasing order.\nAnswer: -4, m, -0.4, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 107241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5513 + -4?\nAnswer: 5509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {x: 4, k: 3, m: 1, a: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 9079\nAnswer: -3\/9079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) - 18\/(-5). Let d(t) = 0*t + t - 58 + 64. Let n be d(-2). Solve 2*v + 3*r = -2 - 1, h*r + 24 = n*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 9*y = 60. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.085 + -1.085. Which is the closest to 0.1? (a) 0 (b) j (c) -1499\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1971 by 1.\nAnswer: -1971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*i - 36 = -79*i. Put 13, 4, 3, i in ascending order.\nAnswer: i, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91000 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3. Let n be (-40)\/d + 2*(-8 + 7). Suppose 184 + n = 6*r. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 + 3*n - 2. Let t be h(1). Suppose i + 2700004 = -t*v, 0*v + 5*v - 2699995 = i. Round i to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54 or -2?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 245*f**4 + 250*f**4 - 122*f**4 + (0*f**2 + 2*f**3 + 0*f**2)*(-4*f - 7*f + f).\nAnswer: 353*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579221551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*g + 2*g + 0*g**2 - 7*g**3 + 0*g**2 wrt g?\nAnswer: -42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 - 39. Is (-4 - (q + 3)) + (2 - 0) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 1:49 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -702*l + 12. Let m(w) = -56*w. Give h(p) - 14*m(p).\nAnswer: 82*p + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*x - 850 = 0, -z + 255 + 179 = 2*x. Suppose 0 = 4*l + 3*f - f - 1632, l - z = 5*f. List the prime factors of l.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.07, -1\/15, -0.5, 33\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -150, -131, -110, -87?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -145.7, 0.08, 0.05?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260049472 divided by 4.\nAnswer: -65012368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -146*h + 739. What is j(4)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1874)\/(-5622) - 1*130\/(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 3, 4, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*(5 + (-2*sqrt(704))**2))*-3.\nAnswer: 50787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*m + 55, 2*i + 3 = -3*m - 9. Let g be (-80)\/(-6) - 6\/i. Solve -105*s**2 + 14*s**2 + 12*s - g*s**2 + 12 = 0.\nAnswer: -2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 + 0)*(4*y**2 + 0*y**2 + 3*y**2) + (11*y - 3*y + 0*y)*(-1 - y + 1) to b*y + h*y**2 + m and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmmmbmbmbmm. Give prob of sequence mb.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41118*l*o**2*z - 4*o**2*z - 68*o**2 + o + z wrt l?\nAnswer: 41118*o**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022102022 - 21?\nAnswer: 10022102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113920?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5967*v**3 - 9*v - 3382*v**3 + v - 3*v.\nAnswer: -9349*v**3 - 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 0*k**4 + 0*k**5 - 3*k + 0*k**3 + 7\/30*k**6 - 1\/2*k**2 + 0. What is the derivative of v(g) wrt g?\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 7. Let i be (2\/12)\/((-32)\/(-4272)). Let j = i - 22. What is the nearest to 1\/3 in q, 0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(297)*1)\/((sqrt(189)*-3 + sqrt(21))\/((sqrt(112) + sqrt(7) + sqrt(7))*-3)))**2*-3.\nAnswer: -96228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 7:53 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2\/7 - 1086*o\/7 - 6624\/7 = 0 for o.\nAnswer: -6, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 25*y - 17 = 27, -4*q = 4*y - 44 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -4 - -3) + (-30)\/10. Suppose 50 = b*f + 14. What is the remainder when 31 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 462, 701, 946, 1197?\nAnswer: 1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3392 = 2*p + 3*u + 845, -6336 = -5*p + 3*u. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*q + 2*n - n, 3*n = 2*q + 19. Let h(b) = 2*b**2 + 2*b + 3. Let w be h(q). Solve 0 = -c - 4*d + 5 - w, 4*c + 5*d + 8 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -244583, -244565, -244511, -244403, -244223, -243953, -243575?\n\"Answer: 3*x**3 - 3*x - 244583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:07 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 19*r + 290. Let y be o(-15). Suppose y*n - 5*x + 9637 = 8*n, 3*n + x - 9629 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2. Let n(r) = 23*r - 3. What is m(n(t))?\nAnswer: 1058*t**2 - 276*t + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (15 + -24)) + -19?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 - 0 - 1*(-5 + 0) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 5 + m + 5)*(-9*m + 9*m - 5*m**2).\nAnswer: -15*m**4 - 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 5:06 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 504\/5*c - 69*c**2 + 5*c**3 + 5292\/5 = 0?\nAnswer: -3, 42\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-24)\/(-28) + -2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 133320013 (base 4) to base 15\nAnswer: 28a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 81*h + 252 = 0, -101*j = -201*j + 104*j + 4*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 27*l**2 + 213*l - 173. What is the thousands digit of c(36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, 6, 2\/7, 1.\nAnswer: -0.14, 2\/7, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -p + 10. Solve 0*f = -p*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 3*h**4\/4 - 5*h**3\/6 - 237*h**2 - 276*h. Differentiate r(o) with respect to o.\nAnswer: 18*o - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 15. Suppose -5*k = -4*j + u, j - 4*j = -2*k - 6. Is 24 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1968*s - 177827 + 177827 - 1197*s.\nAnswer: -3165*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - g - 20. Let n(b) = -b**2 - b - 1. Let t be 1\/2*-1*18. Let c = -10 - t. Let v(y) = c*q(y) + n(y). Differentiate v(x) with respect to x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2 - (-6)\/12)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*q = 2*a - 28, 5*q = 4*a - 100. Is (6*51\/72)\/(1\/a) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from {d: 2, o: 2, b: 1, s: 2, n: 5, v: 8}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 37, 68, 79, 64, 17, -68?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/((-512)\/(-168)))\/(1485\/(-440)).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oehhcoy. What is prob of picking 1 e and 2 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, x: 9, j: 1, h: 1}. Give prob of sequence jx.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-165))\/((-1)\/(-5))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n - 46. What is t(-23)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 1\/4 (b) -1.13 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from bjbbxbkbkjvbjxbbvvb?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 568 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.20651 to two dps.\nAnswer: -17.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6543015 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g - 5*g - g - 6*g in the form q*g + u and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(8*2\/8). Which is the smallest value? (a) j (b) -0.1 (c) 0.25 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 18. Let u = -13 + 15. Suppose -u*m = -5*m + 102. Calculate the remainder when m is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -52 and -35625.618?\nAnswer: 35573.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90\/7*m**2 - 75*m + 0 + 3\/7*m**3.\nAnswer: 3*m*(m - 5)*(m + 35)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 13*j**2 - 5 + 5 - 15*j**2. Let l(v) be the second derivative of -12*v**3 - 15*v + 1. What is g(l(c))?\nAnswer: -10368*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + 1026c47?\nAnswer: 1026c52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - i + 6. Let a(t) = 10*t**2 - 125*t + 465. Let z(w) = a(w) - 15*y(w). Solve z(q) = 0.\nAnswer: -25, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -65.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-18))\/((-89)\/(-219652)). Let l = v + -274. Which is the second biggest value? (a) 1\/8 (b) l (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**7\/7 + 13*d**6\/6 + 40*d**3\/3 + 33. Find the third derivative of s(z) wrt z.\nAnswer: -120*z**3 + 780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**3 - 5*n**2 + n + 10. Let a(m) = -m**3 - m. Let z(h) = 6*a(h) + t(h). Calculate the remainder when 137 is divided by z(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q. Let z(h) = 1 + 3*h - 2 - 7*h. Let c be (0\/2)\/(-2 - -3). Suppose c = 5*w - 8 - 7. Give w*y(v) + 2*z(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from bpbiiiisbuio.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g - g - 2*g)*(0 + 2 - 1 + 3 - 2 + 1 + (1 + 2 - 1)*(2 - 2 - 2) - 1 - 1 + 0 + 2 - 8 + 3) as z*g + y and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19.86682l?\nAnswer: 19866.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + (-10)\/(-4))*0. Suppose u + 4*u + 15 = g. Let i be (3 + u)*(1 + 0). Let o(z) = z**2 + z + 2. What is o(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 135, 218, 313, 420?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10189545 and 1190.\nAnswer: 142653630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2990257903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + -2)*6)**2 + 1.\nAnswer: -1440*sqrt(17) + 61345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - g - 3*g)*(0*g**2 + g**2 - 2*g**2 + 6*g**2 - 2*g**2 - 2*g**2 + (-g + g + 2*g)*(4*g - 3*g + 0*g) + 5*g - 5*g + g**2 + 2*g**2 + 0*g + 0*g).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205849, -411681, -617513?\nAnswer: -823345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 34 = -5*c. Suppose -41*m + 29*m - 58*m + 350 = 0. Put m, -2, c in increasing order.\nAnswer: -2, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 - 215*b**2\/3.\nAnswer: -b**2*(b + 215)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 7 - 4. Let b be 6\/4*(-2)\/(-33). Put a, b, 0.3 in decreasing order.\nAnswer: a, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 234073481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 8*a**3\/5 - 2038*a**2\/5 - 4622*a\/5 - 1028\/5 = 0.\nAnswer: -2, -1\/4, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/12 and -149\/2028.\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + -1.5. Let t = z + -2. Let u = -3 + 0. Which is the closest to -0.2? (a) u (b) 3\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97228.19ml to litres.\nAnswer: 97.22819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Suppose 3*a = -w*a - 15. Let g = a - -2. Is g at least -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 6*g + 9. Calculate the remainder when 26 is divided by x(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2.5. Let x be (-2)\/(-3)*(-45)\/10 - -71. Let s = -68 + x. What is the closest to s in 4, -0.4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t**4 + 0*t**4 + t**4 + (4*t - t - 2*t)*(0*t**3 + 0*t**3 - t**3) + 0*t**4 - 5*t**4 + 4*t**4 in the form q*t**2 + h + c*t + u*t**4 + d*t**3 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 10.4. Let m = d + -0.5. Which is the third smallest value? (a) m (b) 0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + c1b2?\nAnswer: c1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 2:47 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 5*n + 10. What is the remainder when 3 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2138.828 micrograms to nanograms.\nAnswer: 2138828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -635364.8 - 16977424.\nAnswer: -17612788.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28980\/(-85008)*(-4)\/(-10)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.855 + -0.215. Let t = h + 13. Let r = -0.34 - t. What is r rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = y - 8. Let h = y - 16. Suppose -h*c - 60 = -7*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 5020 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 + -64. Suppose -c*v + 305 = -880. Is 30 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: -30 - (13 + -17 + -65)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a week in hours?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 97 - 66 = 5*x, 4*x = 3*s + 25. Let f(l) = l**3 - 4*l**2 + l + 4. Let o be f(4). What is the closest to 1 in -0.2, o, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 378 - 383. What is the fourth smallest value in -1\/3, 3, b, -0.05?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/9)\/((-14)\/(-42)). Let w = -0.3 + 0.1. Sort 5, n, w in decreasing order.\nAnswer: 5, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36.81 - -36.51. Let k = -0.4 + -1. Let x = k + -0.6. What is the second smallest value in -0.4, x, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.344 (b) 14 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00183654 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 105 = 5*p + 22, 65 = -3*p + g. Suppose -f + 4*f = 0, -2*c - 32 = 2*f. Let r = c - p. Solve -3*n = -2*u + r*u + 26, -5*n = -2*u + 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 - 5*r**2 + 5*r**2 + 2 - r**2 - 2*r to b*r + n*r**2 + v and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 4*k - 3*k)*(k - k - k).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3333 + 16979\/5. Are g and 63 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -925 divided by -185?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -38. Let j be 3\/f*(-192)\/(-36). Solve 0 = 3*w + 2 - j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*20816444.\nAnswer: -83265776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 836, 3\/8, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10919567?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) 0.7 (c) -0.534 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -12. Let i = a + 0. Suppose i*t - 2 = 170. What is the remainder when t is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61362 is divided by 67?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from {i: 4, s: 2, c: 4, r: 2}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 942927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.85383 - 0.14617. Which is the fifth smallest value? (a) -5\/2 (b) 4 (c) -1\/8 (d) v (e) -3\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -181\/4 - -45. Let a = 151\/9 + -17. What is the closest to 2\/3 in -4, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**2 + 4*u**2 - 3230*u - 2*u**3 + 2 - 3*u**4 + 3229*u as t + z*u**4 + b*u + c*u**3 + k*u**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -327 - -323. Let s be 3 + 0 + (1 - -1). Put -12, -1, s, p in descending order.\nAnswer: s, -1, p, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-55)\/(-10))\/((-8)\/16). Let n(m) = 5*m**2 + m - 42. What are the prime factors of n(j)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**3 - 2*w**4 - 17 + 17 - 4*w**4 + 14*w + 12*w**2. Let g(a) = 7*a**4 + 4*a**3 - 13*a**2 - 16*a. Let s(i) = 6*d(i) + 5*g(i). Factor s(u).\nAnswer: -u*(u - 4)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 16, 14, -1\/2, 9\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -470\/6149 (b) 8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*h = -30, 4*h + 16 = 2*v - 4*v. Let k be (3*-13097)\/(v\/132). Let q = 2716603 - k. Round q to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3704 divided by -926?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -173.\nAnswer: 3\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xihsgnx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 155*l**2 + 8*l + 462. Let d(g) = -g**2 + g + 5. Let h(b) = -24*d(b) + 3*v(b). What is the first derivative of h(c) wrt c?\nAnswer: 978*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 666 and 1628.\nAnswer: 14652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 3*l - 5. Give r(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s - 54. Let z be d(-10). Solve z*g - 8 = 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/96686 or -1.4?\nAnswer: -3\/96686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a factor of 10040121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 20202.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 8. Suppose -p + 8 = n*p. Sort 4, 0, p in descending order.\nAnswer: 4, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2235*n - 1030*n - 1478*n - 3118 = 31553 for n.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1371b (base 12) to base 10.\nAnswer: 26951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a - a - a + 3 - 3 + 2*a + (2 - 2 - a)*(2 + 2 - 1))*(22*a + 29*a - 52*a) to the form u*a + z + p*a**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -762 and 0.07?\nAnswer: -53.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 2:18 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -479 + 480. Let k(y) = -2*y**2 - 3*y + 1. What is k(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 divided by 2?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(85)*-1 + sqrt(85))*-6*1)\/(-5*((-2*sqrt(20) - sqrt(20))*3 + sqrt(20))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 516336 and 3808672?\nAnswer: 5552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (552\/(-16))\/((-10)\/(-40)*-36*(-2)\/(-12)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = z - 44625, 0 = -5*z - 346*f + 343*f + 223153. List the prime factors of z.\nAnswer: 2, 5, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-4)\/8*4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2*i + i)*(1 - 3 + 4) + (0*i + 91*i - 15*i)*(-1 + 3 - 4).\nAnswer: -144*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 8, 3*c + 15 = -0*z - 3*z. Let s(v) = 3*v**2 + v - 5. What is the remainder when 54 is divided by s(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4216.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0378617 and 23.\nAnswer: -0.8708191","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (29 + -37)*(-30)\/4. Let t = f + -54. What is the greatest common factor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26918 + 37759. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 664600 and 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1222 - 5.1222. What is the second smallest value in 2\/3, -3\/7, -6\/7, y?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 12. Let i(z) = -2*z**2 + 6*z - 2. Let j(k) = 2*k**2 - 7*k + 2. What is v*i(w) + 5*j(w)?\nAnswer: -2*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*14\/(-3)*27585\/9195?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-2) + 0)*804\/7035. Sort -3, 0.4, r in decreasing order.\nAnswer: r, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 322375508.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3773.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - 4. Let p = 19 + r. Suppose 10*v + 21*v - 12*v = 0. Solve p*m + m = v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -544 + 549. Calculate the remainder when 92 is divided by 87\/7 - ((-128)\/28 + l).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - (-7845)\/75*(3 + 184\/(-60)). What is the fourth biggest value in i, 2\/23, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -16*y**3 - 23*y + 1943. Let c(h) = -h**3 - h + 1. Let p(n) = -6*c(n) - z(n). What is the first derivative of p(u) wrt u?\nAnswer: 66*u**2 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4872 = -4871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**8\/168 + j**7\/140 + j**6\/90 - j**3\/3 - 1. Let k(l) be the third derivative of c(l). Factor k(h).\nAnswer: -2*h**2*(h - 1)*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 15 + 19 = 3*j, 5*j - 17 = 2*z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 3*r**2\/2 + r - 16. Let i = 5 + -3. What is the units digit of g(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/1189755 and -43\/4410?\nAnswer: 16656570","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -2*a + 17, 4*a + 7*j - 3*j - 4 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -442489, 5.\nAnswer: -442489, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -446 - -461. Let t be -1 + 2 + -1 - -165. Calculate the highest common factor of t and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 + -88.1. Let d = s - -2.9. Let i = -1.8 - -2. Does d = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (372438\/(-3648) + 102)\/((-85)\/(-124)) + (-2)\/(-16)?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9 + 12)*1\/(-12). Which is the third biggest value? (a) -437 (b) -0.5 (c) -1 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 20 + -40 - -8 - -18 - (1 - 52)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2326592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -580351 from 0.1.\nAnswer: 580351.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, o: 2}. What is prob of picking 3 d?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p - i = 24, i = -4*p - 33. Let t = p + 11. Let c = 0.1 - 0.2. What is the smallest value in 4, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.01 - -0.19. Let g = z - -0.72. Which is the nearest to -2? (a) g (b) -1.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79\/12 - -22\/3. Let d be 8*-1*3\/(-6). Suppose 0 = d*g + g. Is g greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**4 + 2*u**4 - u**4 + (-2 - 1 + 2 + u)*(-6911*u - 2 + 13*u**3 + 6911*u) to o*u + w + m*u**4 + c*u**2 + i*u**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -79\/10531?\nAnswer: -79\/10531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d - 15. Suppose 0*m + 26 = 5*v + 2*m, -5*v = 3*m - 24. Let o be c(v). Round o to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 972 + (4 - (-143)\/(-52))\/((-3)\/12). Sort u, 4, 3.\nAnswer: 3, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.1802\nAnswer: 0.07208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 32 and 9.6.\nAnswer: 41.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*p - 58*p + 14*p + 658*p**2 + 19*p to the form j + q*p + a*p**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32996 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.036 and -1.6?\nAnswer: -20.8576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 24 = -0*r. Suppose -r = f - 0*d - 3*d, 3*d - 14 = -4*f. Suppose n - f = 1. Solve -4*s = 4, 6*s = -n*m + 5*s - 13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8 + 0*g**2 + 2*g - 2*g**3 - g**2 - 9. Give o(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -323 + 326. Let q(l) be the second derivative of 0*l**5 + 2\/15*l**6 - 2\/3*l**4 - 3*l + 2*l**2 + 0*l**y + 0. Suppose q(p) = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*c = -3, -5*o + o + 2*c = -18. Suppose -3*d - 2*j = -74083, -11*d + o*j + 98749 = -7*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -33909.\nAnswer: 19\/33909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -96\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/3 (b) -1\/4 (c) -3 (d) 10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/33 and 41\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1872))*-4 + sqrt(1872)*-2*1 + 2 + 3.\nAnswer: -72*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*u - f + 18 = -243*u, -4*f + 45 = -u - 42 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 64602 (base 7) to base 5\nAnswer: 1003244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -319, -700, -1233, -1918?\nAnswer: -2755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (1 - 4) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/((-12)\/(-9)) - (9 - -1). Calculate the least common multiple of 18 and -2*(n + (-4)\/(-4 + 0)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, y: 3, x: 7, z: 1, c: 1}. Give prob of picking 1 t and 1 y.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -3, 5, 4 in descending order.\nAnswer: 5, 4, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u + 82. Give n(22).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.7 (b) 0.1 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (144\/3)\/2*33\/6. Let g be (27\/u)\/((-48)\/(-64)). Which is the third smallest value? (a) 2\/11 (b) 0 (c) -2 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.7253501 rounded to one decimal place?\nAnswer: 56.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 477101 to the power of 1\/2, to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14550 - d - 14550.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22, 44, 72, 106, 146, 192, 244?\n\"Answer: 3*u**2 + 13*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**4\/24 - d**3\/2 + d**2 + 54*d. Suppose 0 = -3*m + s + 6, -5*m - 5*s = -s - 27. Let n = -8 + m. Determine y(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 753 divided by 753.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 6005, -4\/7 in descending order.\nAnswer: 6005, -3\/7, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from {o: 1, i: 12, n: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a02 + 4?\nAnswer: -19fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmmra.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -60, -49, -36, -21, -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2113 (base 9) to base 13\nAnswer: -924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12397*p**2 + 146*p**3 - 18*p**3 + 348*p**3 + 6196*p**2 + 6201*p**2.\nAnswer: 476*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*h - 87*h - 12. Let m(p) be the first derivative of h - p**4 + 4*p**2 + 0*p - 4\/3*p**3. Let m(b) = 0. Calculate b.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3 = 3*y, z + 0*y = 4*y - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 0*u - 1\/6*u**4 - 1\/30*u**5 + 1\/30*u**6 + 1\/105*u**7 + 0 + 0*u**3 + u**2. Factor p(w).\nAnswer: 2*w*(w - 1)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 - 23*m - 7. Let v be o(-11). Let i(f) = f**3 - f**2 - 5*f - 1. Calculate i(v).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**3\/2 - 896100*s**2 - 3584391*s\/2 - 896097 = 0.\nAnswer: -597398, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*((10120\/(-1236))\/5 - -1). Let t = -3\/103 - r. Is -11 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 6755330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q = 3*w + 121, 4*q + 207 = w. Let c = 58 + q. Determine f, given that 76*f - 6*f**c + f**5 - 61*f - 40*f**2 + 30*f**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1261042944 divided by -6567932.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*h - 2*s + 7*s, h = s - 6. Do -2 and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 9. Let u(j) = j**3 - 3*j**2 + j - 2. What is the units digit of u(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -1. Let t be (22\/(-6) - b)*-3. What is the second derivative of -5*s + 2*s**t + 1 + s - 1 wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101\/7 <= 300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 38. Let w be 3 - (o\/(-35) - (-26)\/(-7)). Suppose w*u + 209 = -78. Find the common denominator of -50\/3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 2*p**2 + 2*p - 2. Suppose -64 = 4*s - 0*s. Let q be 3\/((-2)\/(s\/12)). What is the units digit of d(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4660 + 66?\nAnswer: 4746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 divided by -97?\nAnswer: -688\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1740\/13 - 134. Suppose -2*q = 5*o + 2, -o - 3 - 11 = -3*q. Which is the fourth smallest value? (a) q (b) -0.3 (c) 0.3 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*a**3 + 23*a**2 - 5*a - 151384.\nAnswer: 69*a**2 + 46*a - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 14*x + 30. Is v(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -972 - -1143. Let d = 71 + -33. Calculate the highest common factor of g and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22052.8 - 22053. What is the nearest to 51 in 0.2, x, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 less than 17?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -472\/249 - -4300\/1743. Find o, given that -2\/7*o**5 + s*o**3 - 4\/7*o**2 + 2\/7 - 2\/7*o + 2\/7*o**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 2:52 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30165518 to the power of 1\/2, to the nearest integer?\nAnswer: 5492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -20. Suppose -3 = -2*g + 5*h - 10, -g - l*h + 19 = 0. Suppose 0 = -2*m - 4*q - g, -4*m + 7*m - 3*q - 39 = 0. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10321 divided by 4.\nAnswer: 10321\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7475 + 7474.97. What is the closest to 2 in -2, -5, 10, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/28 and 21\/13661008.\nAnswer: 95627056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**9\/80640 + w**7\/2240 + w**6\/480 + w**5\/60 - 7*w**4\/4 - 47*w**2. Let s(x) be the third derivative of g(x). Factor s(a).\nAnswer: -3*(a - 2)*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 d, and 2 w when four letters picked without replacement from {d: 5, w: 5, k: 1}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/13, 16, 1, -9 in decreasing order.\nAnswer: 16, 1, 2\/13, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**3 - 40*i**2 + 9*i + 89. Determine b(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37.1 less than or equal to -3.82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(0 - -1)*9. Suppose 0 = -2*t + 9 + 7. Let q = t + c. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((5\/(-155))\/(-1)). Suppose g - 243 = -5*s. Let i = s - -43. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2006 - -1976. Put 6, n, 5, -2 in ascending order.\nAnswer: n, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 260 - 264. Let i = 1.2 - -0.2. Let m = -1 + i. What is the closest to 1 in -0.2, m, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4595 - -0.4595. Let l be (-4 + 3 - 0) + 2\/3. Sort l, d, 2, 4\/3 in ascending order.\nAnswer: l, d, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 26. Let o be -12 - -1 - 52\/13. Let s be a(o). Suppose s*p + 52 = 4*c, -5 = -2*p - 1. Solve 4*t - t = -c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1225, -0.4, 2297\/3 in ascending order.\nAnswer: -0.4, 2297\/3, 1225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55744\/7 + -61258\/7. Are -789 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11060703 is divided by 11060699.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23701750, -23701758, -23701766, -23701774?\nAnswer: -23701782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 417405205765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -11*y - 4*y + 32 + 30 - 2. Let z be c(-9). What is the highest common factor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1447 and 47518033?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-3))\/4*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 15) to base 7\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 460*p**4 - 2*p**3 + 337*p**2 + 2*p - 2. Let q(j) = j**4 - j**3 + j**2 + j - 1. Let s(n) = -2*q(n) + y(n). What is the third derivative of s(i) wrt i?\nAnswer: 10992*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -3. Suppose -4*j = 7*a - 3*a - 12, 4*j + 12 = p*a. Let r be (-1 - 22\/(-30))\/(2\/5). Which is bigger: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -0.4, 0.4, -2, -0.5 in increasing order.\nAnswer: -61, -2, -0.5, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135 + -33. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 7*f, 2*z - 37*f = -40*f - 62 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1952)\/366 - (-6 + 1). Let c = -0.03 - -2.03. Put c, -1, -4, x in decreasing order.\nAnswer: c, x, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(55\/(-9)) - -1. Sort 0.02, -0.3, w in decreasing order.\nAnswer: w, 0.02, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -10748.8635.\nAnswer: -10748.8635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 3*s - 15 = 0, 2*h + 15 = 5*h - s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -5, 2798, -3\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 1:05 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 13*f**2 - 70*f + 497. Give q(8).\nAnswer: 769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + i - 15 = 2*i, -44*i = 2*l - 25 + 83 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*c - 9*c - 15*c - z + 32, -4*z - 25 = -7*c + 2*z for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 21*a + 420 = 0. What is the remainder when (-5)\/200*5 + 6148\/32 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 5. Let w(n) be the third derivative of -n**4\/24 + 2*n**3\/3 + 494*n**2. Calculate 5*w(p) - 6*z(p).\nAnswer: p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0481, 0.9, -2\/2727 in decreasing order.\nAnswer: 0.9, -2\/2727, -0.0481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -81, -82, -55, 0, 83, 194?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 12:49 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 4*a - 90 = 62, -12*y = 15*y - 15*a - 990 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + r. Let w be q(4). Let h = 14 + w. Suppose 0 = 4*n - 3*x - 18, 3*n + 3*x = -h + 26. What is the greatest common divisor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 96*g - 190. Let a be f(-2). Let m(l) = -2*l**2 + 2*l + 6. Let u(o) = -2*o**2 + 2*o + 5. What is a*m(x) - 7*u(x)?\nAnswer: 2*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6505104924.\nAnswer: 2, 3, 139, 577, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9539*q + 48564. Determine d(-5).\nAnswer: 869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(243) + -6*sqrt(3)*-1)*-2)**2.\nAnswer: -240*sqrt(3) + 2716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3695584, 0, -5, 4, 48 in increasing order.\nAnswer: -5, 0, 4, 48, 3695584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562 is divided by 154?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(5) + sqrt(80) + sqrt(80) + (0 + sqrt(80))**2 - -3*(-3*sqrt(245) + sqrt(245))**2.\nAnswer: 9*sqrt(5) + 3016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4158 - -387. List the prime factors of t.\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + (-406)\/(-49))\/((-1)\/(-7)). Suppose -65*v + 59*v + s = 0. Solve v*m + 3*o + 32 = 6*o, -2*m - 4*o = -8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(52) + sqrt(78)\/(sqrt(24)\/sqrt(4)))**2 + -5.\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*a - 70 = 359*a + 5*g, 43*g = 5*a - 26 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**2. Let d(c) be the third derivative of 0*c**3 + 0*c**4 + 0*c - 1\/15*c**5 + 0 + 57*c**2. Calculate j(d(b)).\nAnswer: -48*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*y - 28320 - 62086 = -1086*y - 9580 for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -5. Let z = -5 + l. Suppose 27 = z*h - 2*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 7:21 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1837 - 264 = -165*j - 407 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvx when three letters picked without replacement from vvvvvvxvvvvvvvv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4871270 to the power of 1\/2, to the nearest integer?\nAnswer: 2207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -5*o + 65, 11*m - 4*o - 65 = 6*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3230230 (base 5) in base 12?\nAnswer: 27a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + ((-180)\/50)\/((-1)\/(-5)) + -5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6208 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 10*k + 6. Let u be l(-10). Suppose -2*p + u = 0, -4*d + 3*p + 12 = 1. Solve 0 = x - 2*x - q, d = -4*x + q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/9, 1135, -179, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 492.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001137 rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/((-3*sqrt(14))\/sqrt(7))*2)\/(sqrt(32)\/((sqrt(80) - 3*sqrt(80))\/sqrt(10))*6))**2.\nAnswer: 28\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2245931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + 1 + (-3 - -4))\/(-1). Solve 5*d + 21 = n*a + 2, 2*d = 3*a - 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.67 - 0.6. Let r = y + 4.62. Let g = r + 0.61. Round g to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1169, 0.1, 3, 0, 119?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -8. Let b = 11 + u. Suppose -i - 143 = -z, 3*z + 6*i - 4*i - 439 = b. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -1. Suppose 2*m = a*u, -5*m - 5*u = -2*u. Suppose 0 = 3*f - m*f - 39. What is the greatest common divisor of 91 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -6 + (-4 - -4 - -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 5*l + 21, -5*o = -486*l + 491*l - 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -155 divided by -7\nAnswer: 155\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89*m**5 + m**2 - 104*m wrt m.\nAnswer: 1780*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 18837.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 62037360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -247.318637 rounded to 2 decimal places?\nAnswer: -247.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.4167+843\nAnswer: 841.5833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 1. Let r(f) = 7*f + 6. Let b(v) = -5*g(v) + r(v). Find the first derivative of b(a) wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. What is the second biggest value in 1\/2, -2\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 2:18 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u + u**3 + 22 + 3*u - 29 - 8*u**2. Let z be j(7). Put 2, z, -4 in decreasing order.\nAnswer: 2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109.2 + 109.4484. What is r rounded to 2 decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 229*z**2 + 229*z**2 - 457*z**2. Let o(s) = -71*s + 21*s**2 + 71*s. Give o(f(v)).\nAnswer: 21*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 0)\/(-3 + 0). Let n = 40 + -28. Suppose 4*p + n - 72 = c. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*((2 - -1) + -8). What is the units digit of (35\/(-2))\/q*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -437 at most as big as -436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(396)*-6 - (sqrt(99)*-2 + -3))**2.\nAnswer: 684*sqrt(11) + 142965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(378\/(-36))*(-4743)\/62\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 divided by 4?\nAnswer: -151\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9)\/j*j\/(j\/(((j**8*j)\/j*j)\/j)))\/(((j*j**(1\/6))\/j)\/(j*j**(-6)))*((j*j**(-8))\/j)\/j**0*(j**(-1)*j)**(8\/7) assuming j is positive.\nAnswer: j**(-91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 612\/51 + -16 + 2. Let p(d) = -d + 1. Give p(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*y + 2*b - 4, 0 = y + 2*b + 1. Let a(w) = w**2 + 5*w + 8. Let c be a(y). Suppose 13 + c = 5*r. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-12)*2*(-100)\/(-75)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -390?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 12 = -3*b + 2, 2 = -2*u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -976b (base 14) in base 9?\nAnswer: -38800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*a - 6 = -3*a, 8 = 2*t - 4*a. Suppose 2*y = 2*z + 34, 4*y - 2*y + 5*z - 20 = 0. Let j be 2\/(-3) + 160\/y. Solve t*k - j = -2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 752 = -209*l + 348 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 130168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 70*w + 1. Let g(z) = -72*z. Let o(f) = -5*g(f) - 4*v(f). Let u(a) = a. What is u(o(s))?\nAnswer: 80*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (26\/(-260) + 1\/2)*5. Let i(y) be the second derivative of 0 - 6*y + 0*y**j - 1\/6*y**3 + 7\/12*y**4. What is i(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 4:45 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)\/sqrt(200) - sqrt(441)\/(sqrt(28)\/sqrt(4))) + 3 + -5 + 2)**2.\nAnswer: 1008\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Round -1855800 to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 278899123*d**2 + 3 - 278899122*d**2.\nAnswer: d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.4, -1610, 0.1 in descending order.\nAnswer: 0.5, 0.1, -0.4, -1610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20832 and 10402?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eei when three letters picked without replacement from pvgepvebgipg.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 58 and 2378?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.9529047 rounded to three decimal places?\nAnswer: 47.953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697610618.\nAnswer: 2, 883, 395023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -267, -1054, -2349, -4152?\nAnswer: -6463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14914c (base 13) to base 11\nAnswer: 315905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -4927.\nAnswer: -4\/4927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 864 - -1429. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 593919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**2\/3 + 395696*p\/3 + 5938140 = 0. What is p?\nAnswer: -45, 98969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 126546, 253152, 379758?\n\"Answer: 126606*c - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*l**4 - 3*l + l**2 + 23*l**4 - l**3 + 2*l as b*l**3 + s*l + k*l**2 + h*l**4 + y and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9649 = -3*f + 2*o - 9661, 23*o = 4*f + 260 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10186 times -865.1?\nAnswer: -8811908.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 771573 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13104*m**4 + 10435 wrt m?\nAnswer: -52416*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1776, -1563, -1352, -1143, -936, -731?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m - 430 = 10*m. Let i(g) be the first derivative of -2*g**2 + 3*g - 1. What is the units digit of i(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-16 + 5 - -31).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4783 by 30.\nAnswer: -4783\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3418 + 6377*f**3 - 3418.\nAnswer: 6377*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2650834726.\nAnswer: 2, 29, 45704047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 1 + 2)*(i + 3*i - 5*i) + 3*i - 6*i + 0*i)*(i**2 - 3*i**2 + 4*i**2) to j + u*i**3 + h*i**2 + t*i and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -822 divided by 3?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000263633 rounded to 7 decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -1 + 0\/(-5). Suppose 5*p - 17 = k, x = 2*k - 3*p + 7 - 1. Let u be (-8)\/84 + k\/7. What is the third smallest value in u, -0.01, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -603*s**6\/2 + s**4\/2 - 519*s**3 + 790. What is the third derivative of d(y) wrt y?\nAnswer: -108540*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from iiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 - 59 + 294)*(-13 + g**2 + 13) to the form y*g + c + b*g**2 and give b.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(-102))\/((-33)\/18 + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (8 + 7) - 50) + -1\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63596487?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhiihhhhhioi. Give prob of picking 1 h and 1 i.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*r + (3*r - 4*r - r)*(0 - 5 + 3) - r + r + r - 19*r + 25*r + 100*r)*(-3*r**2 + 6 - 6)*(2 + 2 - 2).\nAnswer: -654*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + sqrt(343) + 6*(sqrt(7) + 1) + ((4 + -1 + sqrt(700))*-2)**2.\nAnswer: 253*sqrt(7) + 2837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 6*(-3)\/2. Let h = -24 + 44. Calculate the greatest common divisor of r and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + m - 3. Let c be a(0). Let v = c + 31. Let n = v - 4. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282*y + 153*y - y**3 + 129*y.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-2)*8\/(-5). Suppose 636 + 1288 = j*v. Suppose -7*q + 44 = -v. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7079 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**4\/6 - b**3\/3 - 6*b. Factor p(a).\nAnswer: 2*a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000513914 to five decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5*k + 37 = -7*y, -2*k - 10 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*k + 5. Suppose 0*i - k*i = 0. Suppose 69 = 3*q - i*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*sqrt(24)\/sqrt(3))\/((sqrt(48)*-1)\/sqrt(12))*-1.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 + -96. Let u = 18 + -18. Solve 0 = -o - 4, -c*o - 21 = d - u*o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2995437*m**3 + 383*m - 1698 wrt m.\nAnswer: 17972622*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*r + 20 - 279 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = -15*p - 207 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1265*f - 135 = -1325*f - 2895 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8460 = -4*a + 24*a. Does 23 divide (1 + -3)*(5 + a\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 45. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 + (-168)\/(-36). Suppose h*o = w + 179, w = -0*o - 2*o + 73. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 861?\nAnswer: 430.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 4. Suppose -14 = -0*u - 2*u. Suppose y = -5*w + 3, -y - y - 4*w + 6 = 0. Solve c*r + y = -u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-7)*(-10)\/20\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2261081108.6 + 107068451376.6. Let o = -104807369828.00000199 + r. Let n = 440 - o. Round n to 7 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 8 - (-2 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.31 + -0.19. Let v be 1\/(-4) - 2\/(-8). Suppose c - 1 - 7 = -4*a, -2*a + 4 = v. What is the third biggest value in c, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 5, -86 in descending order.\nAnswer: 5, -2\/5, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677486.\nAnswer: 2, 139, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -11. Let t be 2*5\/(-20)*-6. Suppose 0 = 5*b + i*n - 4*n - 39, t*n + 9 = 3*b. What is the greatest common factor of 28 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*f + 84 = -200*f. Let k(x) = -3*x - 17. Determine k(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 916, 2076, 3710, 5824, 8424, 11516, 15106?\nAnswer: 19200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**4\/24 + 7*k**3\/6 - 3*k**2. Let o be n(-5). Suppose o*h - 3 = -h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5870\/3 - 117091\/60. Suppose -17 - 27 = -4*m. Find the common denominator of m\/((-33)\/27 + 3) and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 119*g + 52 + 40 + 41 + 34 - 209. Let p(c) = -7*c + 21*c - 5 + 0. Give 42*p(i) - 5*q(i).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1133 and -509928.\nAnswer: -511061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 + -35. Suppose -2 - g = -2*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 88807, 355103, 798933, 1420297, 2219195?\n\"Answer: 88767*u**2 - 5*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - s**3 - 1 + 2*s**2 - 2*s**2. Let r(a) be the second derivative of -a**5\/10 + a**4\/12 - a**2\/2 - 5*a. Give -2*c(h) + 2*r(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z - 195. Let f(n) = -6*n**2 + 42*n + 206. Let o be f(20). Let q = o - -1418. Which is bigger: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 76869534*z + 492410438114763.\nAnswer: 3*(z - 12811589)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11924 = -27136*z + 27407*z for z.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*s - o, -8 = 3*s - 5*o. Suppose 0 = 3*b - 3*j + 7 - 25, j = -1. Suppose -4*k + 1122 = r - 5*k, -s*k = -b*r + 5605. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - (13 - (-30 - -81)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50241560 and 294816.\nAnswer: 602898720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3292a1 (base 15) to base 9\nAnswer: 4473337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3341 to two dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13614 is divided by 1701.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265289 is divided by 264898?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2 + n + 2. Let w be g(-2). Suppose x - w = -2*p, 135 = 7*x - 2*x - p. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335066425 - 0.2072515?\nAnswer: -335066425.2072515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 15*g - 24 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*b**3*i**2*t + 264*b**3*i**2 - 2*b**2*i*t + 5*b**2*t - 1491*b*i**2*t wrt b?\nAnswer: -90*i**2*t + 1584*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*l - 2324 = 214*l + 1288 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 1, -8, -4898?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -410*b**5 + 253*b**4\/2 + 9835*b**3 + 4549*b**2\/2 - 18056*b + 6230 = 0.\nAnswer: -178\/41, -7\/4, 2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 593029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 129 = h + y, 5*h - 327 = 2*y. What is the highest common divisor of h and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 3*a + 5. Let f be m(-5). Suppose 2*y = -4*y + 174. Let x = -24 + y. Calculate the highest common factor of f and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*(g\/g**(8\/11))\/g*g*g))\/((g**(14\/11)\/g)\/g)*g**9\/(g**(-10)*g*g*g) assuming g is positive.\nAnswer: g**(159\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 + -1.9. Suppose 0 = 4*s - 20, 0 = -4*z - z - 2*s - 530. Let u = -752\/7 - z. Which is the closest to g? (a) u (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**5\/60 - v**3\/2 + v**2. Let b(q) = -q**2 + 11*q - 13. Let m be b(10). What is z(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2834 + -2839. Let l = -6 + 13. Sort l, -3, -4, d in increasing order.\nAnswer: d, -4, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 4:47 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 469*s**4\/3 - 4003*s**3\/6 + 5859*s**2. Find the first derivative of o(q) wrt q.\nAnswer: 3752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432)*3*2)\/(sqrt(9)*1*5 - sqrt(9)).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/24 and 71\/2166.\nAnswer: 8664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (23 - 20) + 8?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvv when three letters picked without replacement from jvvj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-4 + (-27118)\/(-6825))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3491 is divided by 31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -m + 5*g, -60 = -14166*g + 14162*g. Solve 225\/2 + m*x + 1\/2*x**2 = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 99, 228, 419, 678, 1011, 1424?\nAnswer: 1923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 8. Let r be ((-1)\/(-10))\/((-1)\/8). What is the nearest to r in -1, v, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*m + 16. Let o(u) = u**3 - 8*u**2 + 7*u + 3. Let x be o(7). Let l(t) = t + 2. Calculate the remainder when m is divided by l(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 4:21 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*(((u\/(u*(u\/(u*(u\/(u\/(u*u**(1\/10)*u)))\/u))\/u))\/u)\/u*u)\/u*u*u))\/u)\/(u*u**(3\/8))*u**(-1\/3)\/(u\/u**(1\/6)) assuming u is positive.\nAnswer: u**(-677\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2 - 471*r - 12378. Give w(-34).\nAnswer: -988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**28*h)\/h**(3\/11))**47 assuming h is positive.\nAnswer: h**(14852\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2580, 2552, 2528, 2508, 2492, 2480, 2472?\nAnswer: 2468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 177 = -103. What is the remainder when 96 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**2 - m - 4. Let c be u(4). Let f be 296\/c - 5\/45. Solve -p - 12 = -f*z, 0 = 2*z + z + 5*p - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23\/5 - 137\/30. Let m(g) be the third derivative of 2\/9*g**3 - 1\/36*g**4 + 0*g + 0 - 8*g**2 - j*g**5. Factor m(s).\nAnswer: -2*(s + 1)*(3*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 270?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 4*q**2 + 3. Let l be n(4). Suppose 5 = -0*w - 5*w. Let g = 3 + w. Are l and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**4 + 14373*a**3 - a**2 - 134599*a.\nAnswer: -72*a + 86238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -146*l - 4. Let s be o(2). Let y = 1342 - s. Suppose -40*x + y = -31*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from sxssh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 30 = 3*g, -2*i = 47*g - 41*g - 3 - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from {y: 5, t: 3, x: 3, w: 1, p: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.28 (b) -2\/2739 (c) 1\/3 (d) 4 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - i**2 - 4*i - 4. Let v be f(-3). What is the greatest common factor of 104 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.79847 millilitres to litres.\nAnswer: 0.02979847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s = -50*s + 28*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3380\/(-40))\/((-2)\/12). Let w = 511 - f. Sort -4, -150, 1, w in descending order.\nAnswer: w, 1, -4, -150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/3*1 + -5)*79. Let d be 0 + -7 + c\/(-22). Suppose -d + 20\/11*i**2 + 20\/11*i**3 - 18\/11*i**5 - 2\/11*i - 18\/11*i**4 = 0. What is i?\nAnswer: -1, -1\/3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.762 * -8\nAnswer: 46.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dngda. Give prob of sequence dd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4137 - 3549. Calculate the greatest common divisor of 108 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1026 + 970 = -y - 5*m, -3*m + 29 = -4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0039082 to 5 dps.\nAnswer: -0.00391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -2.4, 0.2, 0.007, 0.52, -4?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*d**3 - 102*d + 12615?\nAnswer: -15*d**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 6:40 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 542937 - 1443*g - 542937 to m*g + h and give m.\nAnswer: -1443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-38)\/19 - (-4 + (2 - 0)). Suppose 6*a - 294 = -p*a. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.574 + -888.426. Let k = i - -890.00001532. What is k rounded to seven decimal places?\nAnswer: 0.0000153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*q)*(136*q - 64*q - 7 - 66*q).\nAnswer: 12*q**2 - 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-28)*(622 + -643)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = m - 2*m. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-6))\/(7\/(-105)). Is -20 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/10*(-1)\/(-1). Suppose 0 = 5*m - 5*l - 75, -3*m + 2*m = -4*l - 24. Let x be 6\/9 - 8\/m. What is the smallest value in 2\/5, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*y - 12 = 0. Let r = -1268 - -1273. Which is the fourth biggest value? (a) 2 (b) y (c) r (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -4 (c) 239 (d) 1\/7 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3.8 times 0.42395\nAnswer: 1.61101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.34807 - 0.05193. What is the smallest value in 3\/4, -15, z?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 + 70.01. Let n = 2.01 - u. Which is greater: 26 or n?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 10:54 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -11.4. Let z = -83 - -80. Let v = z + 2. What is the nearest to 4 in v, w, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*k**5 + 4*k**4 - 8*k - 8?\nAnswer: 300*k**3 + 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/19 - (-22463)\/133. Suppose -12*g - 49 = -s. Solve 8*j - g*j = -2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 47 = f, -5*f - 4*r + r + 123 = 0. What is the remainder when 1025 is divided by f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016680746 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 9*b**2 + 9*b + 4. Let n be q(-7). Calculate the highest common factor of 104 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c*s**4 + 835*c*s**2 - 2*c*s + 3*c - 2186*s**5 + 19*s**4 + 21*s**2 wrt s.\nAnswer: 72*c*s - 131160*s**2 + 456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 35*o + 233. Calculate r(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1017 - 158. Is d a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 44*y + 22 = -41*y, f = 4*y - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*n**6 - 2*n**5 - 4*n**2 - 45*n wrt n.\nAnswer: 2880*n**3 - 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 292 and 479756?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 7) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(17) + 1 + -5 + 4 + (1*sqrt(612))**2)*3.\nAnswer: -3672 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -14 + 0*t + 1\/4*t**4 - 31\/2*t**2 + 49\/3*t**3. Find the second derivative of y(x) wrt x.\nAnswer: 6*x + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 15*w**2 - 5*w - 9. Let p be 69\/(-23) - 42\/(-2). Suppose p*k - 80 = -26. Let q(l) = -8*l**2 + 3*l + 5. Determine k*s(z) + 5*q(z).\nAnswer: 5*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 88 = -6*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 74. Is v(10) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -503, -3, -0.5, -29, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5201 + 220*n**3 - 5204 - 185*n**3 + 2*n**2 in the form p*n**3 + j*n + x + c*n**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.295 - 0.205. Let y be 2*(-10 - -5)\/25. Which is the closest to -0.4? (a) y (b) 2\/13 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010100101111110011 (base 2) to base 8\nAnswer: -3245763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -1.123.\nAnswer: 2.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/47440 and -41\/25.\nAnswer: 237200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6487740 rounded to the nearest 10000?\nAnswer: 6490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/11, 15, 0.006658?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -13501 != 3\/431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3271 + -1602. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 2*s**2 + 6*s. Does 28 divide w(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 - y**2 + 6*y + 30. Let t be i(-5). Let m = 652 - t. List the prime factors of m.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) + sqrt(153)\/sqrt(3))\/sqrt(3) - ((1*sqrt(34)\/sqrt(2))**2 - sqrt(17))) + 1 + ((1 + sqrt(1377))**2 - -4*(sqrt(17) + -2*sqrt(17))).\nAnswer: 17*sqrt(17) + 1362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 12 = 0, 0 = -s - s + 5*d + 19. Let q(c) = 5*c - 2. Let r be q(s). Let j = r - 13. Sort j, 5, -2 in descending order.\nAnswer: 5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.048 (b) 17 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1428)\/8 + (-3)\/6. Is (-8 - -9)\/((-1)\/t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 9. Let x be -1 - (-3 - (0 - 2)). Solve x = -0*c + b*c + 4*l - 20, 0 = -4*c - 3*l + 17 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvzvzv. What is prob of sequence vv?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-76)\/180) + (-6)\/27.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyk when three letters picked without replacement from yxkyyoyxxyky?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**2 - 6*k + 3. Determine z(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 1032*a. Let z(h) = -39*h. What is z(x(o))?\nAnswer: -39*o**2 - 40248*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3055591?\nAnswer: 7, 11, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xaxu when four letters picked without replacement from xxuhxxxcxxahxcjxch?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3002664770.\nAnswer: 2, 5, 7, 42895211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5668, -5664, -5658, -5650, -5640, -5628?\n\"Answer: h**2 + h - 5670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 193113.4 and -1288.\nAnswer: 191825.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -149201 - -149200.9799999. Let k = r - -0.02. Round k to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 135 = 8*i. Let r = i - -32. Suppose -399 = -4*h + r*y - 4*y, 0 = h - 3*y - 97. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3819)\/51)\/(15\/189). Let g = -2841\/17 - x. Let v = g + -773. What is the common denominator of v and -10\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1, -4047 in increasing order.\nAnswer: -4047, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**5\/30 - o**3\/3 - 8*o. Let s(f) be the second derivative of j(f). Let x(l) = 3*l. Give x(s(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3 + 477*g**2 + 1947*g + 1467 = 0. What is g?\nAnswer: -3, -1, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8815 = -5*k, 8*m + 8827 = 13*m - 2*k. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/87 + 184\/435. Let z = 7.2 - 6.7. What is the nearest to r in -4, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1110*m - 111?\nAnswer: 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550 - 572 = -66*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.867 - -0.067. Let d = o - -4. What is d rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3)*3\/2. Suppose 5*s - 70 = -2*z, z - 25 - 31 = -4*s. Let v be ((-2)\/(-3))\/(s\/3). Which is the closest to p? (a) -3\/4 (b) 0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3253 (b) 2\/9 (c) 33 (d) -5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 4, 483, 1, -3, 0 in decreasing order.\nAnswer: 483, 61, 4, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-3*a - 7*a + 5*a)*(0 + 0 - 2).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -56. Let n = -174\/5 + o. Which is the third smallest value? (a) n (b) -0.4 (c) 1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -18 (c) -3\/4 (d) -4 (e) 317.37 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2658952l in millilitres?\nAnswer: 265.8952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 46. Let c be w(31). Is 39 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 + a?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2 - 2*n**2 + 2*n**2. Let j(a) = 5*a**2 - 12*a - 6. Let d(r) = -11*r**2 + 26*r + 13. Let f(x) = 6*d(x) + 13*j(x). Calculate f(h(m)).\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 + 0.06. What is the closest to 0.1 in 4, 1\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 63 from -4.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 5*x**2 - 5. What is r(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3082)\/67)\/1380)\/((-9)\/(-4))?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - (-34 - (7 + 63))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 1 + -8 - (0 + 3 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 10*m - 3928. Calculate the least common multiple of 88 and r(68).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 6. Let k(d) = 4*d + 1 + 0 + d**2 + j. Let q be k(-3). Is 1 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1) + -2 - -7. Let v be 1 + 10 + (-8)\/i. Suppose v = 5*b - 16. Are b and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57718.058 rounded to the nearest 10?\nAnswer: 57720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-7 + 4 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 9*l = 4*l + 8, 5*q - 2*l = 10. Suppose n = 5*n + q*y - 62, y + 65 = 4*n. Let f = -17548 - -17551. Solve 14 = 2*h - 3*o, f*h + 3*o = 5*o + n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 3, -5, 24, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drapappidppara. What is prob of sequence pd?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + 81. Suppose -m = -4*o - 21. Let y(c) = o - 49 + c + 25. Calculate y(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 368 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -7 + -11 + (-6 - (7 + -4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2519 divide 6876452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/3019420 and 43\/108.\nAnswer: 81524340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*i**2*j - 7*i**2 + 12352*i*j - 2*i + 28969620*j wrt i?\nAnswer: -8*i*j - 14*i + 12352*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -3*p**5\/4 - 23*p**4\/6 + 45*p. What is the third derivative of v(l) wrt l?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 12. What is y(6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 9*o**4 + 37*o**2\/2 + 15. Find the second derivative of q(c) wrt c.\nAnswer: 216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 - 5*s + 16\/3.\nAnswer: -(s - 1)*(s + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 146213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 233*h**2*m*s**2 - 68*h**2*m*s + 61*h**2*q - 4*h*m*q*s**2 + 23*h*q*s**2 + 98*m*s**2 - 39*m wrt h.\nAnswer: 466*m*s**2 - 136*m*s + 122*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 1:36 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - -49. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3224 - 1277*y + 3224.\nAnswer: -1277*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 12:45 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -381 - 0?\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50001703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, c: 5, v: 6, j: 3, d: 1}. What is prob of sequence cs?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5*p - 28. Let w = -14 - p. What are the prime factors of -2 - -55 - (11 + w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -306 - -68. Is (-17)\/(z\/118 - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 179*g**2 + 64*g + 2334. Let h be c(90). Let r = -3 - -2. Let k(b) = b + 2. Let n(t) = -1. Determine h*n(o) + r*k(o).\nAnswer: -o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2795*x + 777*x + 534*x + 20*x + 1 in the form a*x + p and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -60618, -60569, -60492, -60387, -60254, -60093, -59904?\n\"Answer: 14*j**2 + 7*j - 60639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3995*j*l**4*p + 781*j*l + 2872*j*p + 284*p - 4 wrt l?\nAnswer: -15980*j*l**3*p + 781*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 750556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10598 - -10601. Suppose 6*k - 3*k = -2*v - 4, 3*v - 2*k - 20 = 0. Solve y - v = -5*w, -g*y + 12 = -0*w + w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 46*h - 54*h + 6. What is the nearest to -54\/47 in -1\/6, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 46*t**2 - 301*t + 133. Let n be k(-38). Let c be 45\/30 + (-2)\/(-4). Solve 0 = l - 3*z - 6 + n, 3*l + 4 = c*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*s = -5*p + 50, 4*p + 5*s - 42 = 0. Suppose -22 = 2*u - 5*x, 2*u - x + p + 6 = 0. What is the units digit of 8 + (-3 - (2 + u))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 11 = d. Suppose -d*z - 3*w = -30, -4*w = w. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 2\/15, -82, 13, -104, -6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/(237\/1422)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*t + 60 = 11*t. Calculate the greatest common divisor of t and 235.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p + 43. Let s be y(-21). Let d be s + -5 - (112 + 1). What is the units digit of (-160)\/(-24)*d\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96057 at most as big as 97564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/4*d**3 + 245\/2 + 20*d**2 + 385\/4*d.\nAnswer: 5*(d + 2)*(d + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3436 a factor of 1632140428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 - (0 - 2\/2). Let b = 15 - o. Suppose -y + b*y = v + 46, -5*v - 50 = -3*y. Solve 5*x = y, 0 = g - 5*x + 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 19 = -3*i, 5*i = 3*g - 4*g + 27. Suppose 5*o - i*k - 55 = 0, 5*o = -4*k + 11 - 1. Solve -2*s = -o*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3512, 8913, 14314?\nAnswer: 19715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212100000 (base 3) in base 16?\nAnswer: 8f55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760376667?\nAnswer: 3, 253458889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -252 - -146. Let s = c + 179. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*s - 38, 5*s + 46 = 2*s + 4*t. Let m be 15\/s*-14 + 1\/1. Suppose -m - 10 = -4*g. Solve -x = x + g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17931460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -16c?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/9 + (-2)\/(-6). Suppose p = -0*j + j - 24. List the prime factors of (j\/(-14))\/(-2)*7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 4 = -3*p. Let i = -39 + 38.762. Let g = i - 4.762. What is the closest to p in 0.4, g, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 23001?\nAnswer: 184008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrrx when four letters picked without replacement from xxxxrxrxxxx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 99.46411 decades?\nAnswer: 9.946411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 11 - 19 = m, 3*m - 46 = -3*s + 2*s for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3669 times 1?\nAnswer: 3669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + 10. Let b = 50 - s. Let q = 58 + b. Does 18 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33102093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 118981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6590219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 5 (b) -3 (c) -0.4 (d) 1\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 + 18*p + 86. Let t be i(14). Let x = -276 + t. What are the prime factors of x?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/858 and 3.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*l - 17 = 0, 0*j = 2*j + 3*l + 21. What are the prime factors of j + 9 + (-98)\/(-2)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6, 18, 36, 60, 90?\n\"Answer: 3*h**2 + 3*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126141559, -126141560, -126141561, -126141562, -126141563?\nAnswer: -126141564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 12*k**2 - 16*k - 18. Let i be m(-13). Let u = i - -55. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*r - 402 = 3888 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 - (-3)\/(-12). Suppose 4*x + 2*h - 62 = o, -x + 0*h + 11 = 2*h. What is the remainder when x is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3 - 2 + 3 - c. Suppose -n = 2*n, -5*n - 8 = i. List the prime factors of j(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/39517 + -3003217\/2963775. Find the common denominator of 71\/120 and c.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(128) - ((sqrt(128) - sqrt(128)*2 - sqrt(128)) + sqrt(128))*-2) + (sqrt(128) + sqrt(32))*5 + -5)**2.\nAnswer: -1040*sqrt(2) + 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -646713 divided by 10\nAnswer: -646713\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**4 + 680*i**3 + 23044*i**2 + 189016*i + 166650 = 0.\nAnswer: -303, -25, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*c + 11, -4*c + 2*i - 6*i = -12. Suppose 2*k - 18 = -2*x + 10, 0 = 3*x + 15. Suppose -2*n - 3*n = 2*d - k, -4 = c*n. Solve -3*t + 0 + d = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -12*o - 2. Let a(g) = -g. Determine -4*a(l) + w(l).\nAnswer: -8*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 11:51 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193232 divided by -1.\nAnswer: 193232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1490)\/31 + (54 - (-61864)\/(-1147))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**4 + 6036*q**3 - 493356*q**2 + 5473516*q - 4986192 = 0. What is q?\nAnswer: 1, 12, 73, 1423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*o**5 + 4*o - 5*o + 8*o**5 - 20*o**5 wrt o.\nAnswer: -520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.386379 rounded to two decimal places?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 7 - (-85 - (-11 - 3))) + 4\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 4*s + 12, 18 = -4*x + 4645*s - 4651*s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j**2 + 16*j**3 - 5*j**4 - 4*j**2 - 3*j**4 - 2*j + 0*j**3 to p*j**2 + r + a*j**4 + o*j + x*j**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -11*m + 523. What is n(48)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v = -14. Suppose 4*l - 2 = 3*l. Let x = 3 + l. Solve p = -d - d + 4, 0 = -d - x*p - v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300412 (base 5) to base 6\nAnswer: -111522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 5) in base 2?\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1046*-2.\nAnswer: -2092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 258*d - 4983. Give f(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/105)*h)**(2\/51)*(h*h**32)\/h**36)**(-1\/10) assuming h is positive.\nAnswer: h**(15859\/53550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 6\/5 + 2. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oh when two letters picked without replacement from {o: 2, d: 1, a: 1, l: 2, h: 2, b: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 130996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 465, 1665, 4015, 7899, 13701?\nAnswer: 21805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 35. Let q = -20 - m. What is the biggest value in q, 4\/7, -5\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 943657 + -3901630. Let b = 1447973 + v. What is b rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 a factor of 701638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a hour?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 10 = 2*f, f + 2*q = 4*f - 15. Suppose -40 = -3*s + i - 11, 3*s + 1 = -f*i. Solve n + 5 - s = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/21 and 20\/36 - ((-6)\/(-9))\/(-2).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-261)\/15)\/(24\/(-1280)*16)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -34. Suppose -14*g = -s*g - 48. Let m = 14 - g. Let f(n) = n**3 - 5*n. Let p(l) = l. What is m*f(u) - 10*p(u)?\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 709 + -697. Let d be (40\/(-60))\/(1\/(t\/(-10))). What is b in -1\/5*b**2 + d*b - 3\/5 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20043521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 191, 194, 199, 206, 215, 226, 239?\n\"Answer: o**2 + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3*m = 1210 - 1212, 0 = -4*b - 2*m + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d = -3*f - 12, f - 28 = 4*d. Let b = -901\/2 - -464. Factor 0 + 3\/2*n**f + b*n**3 + 0*n + 12*n**2.\nAnswer: 3*n**2*(n + 1)*(n + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 593786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042.811 plus -0.017?\nAnswer: 1042.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23814 + -23788. Suppose 2*n + 3 - 11 = 0. Solve -n*z = 6 - x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*g + 236 - 340, -5*w - 120 = -5*g. Solve 12 = 5*p - x, 4*p + g*x - 24*x = 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 329 and -6.\nAnswer: -1974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -9293*m + 5129767. Calculate h(552).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 5060.\nAnswer: -5060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749232141?\nAnswer: 3, 7, 35677721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -37*q. Let z(c) = -6*c. Give 6*f(s) - 34*z(s).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -5\/896, -23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 12, -2*t - 3*t = 3*a + 14. Suppose -j = -a*j + 64. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -8*w + 11*w - 408, 0 = -3*w + 3*o + 408. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -15*x - 29. Let a be n(-4). Differentiate 1414*f**2 - 39*f**4 - 83 + a - 1414*f**2 wrt f.\nAnswer: -156*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 0.18, 11, -5?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - l = -2*i - 6, 4*i - 4 = 4*l. Solve 0 = 4*v - 3*o - 28, 5*v = -0*v + l*o + 36 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**4 + w**4 - 4*w**4 + (-6*w**4 + 2*w - 2*w)*(-4 - 8 - 6) + 0*w**4 - w**4 + 0*w**4 to i*w + s*w**2 + t*w**3 + n*w**4 + l and give n.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 5*x**2 - 5*x. Suppose -3 + 1 = -h. Let t = 2 - -1. Let i(g) = -2*g**2 + g**h - 451*g + 450*g + g**t. What is 3*i(c) - p(c)?\nAnswer: 2*c**3 + 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 7:40 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 6*b**2 - 7156. Let w(t) = -67*t - 3. What is s(w(d))?\nAnswer: -804*d - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 15*q + 13*q + 1730, 5*y - 3*q = 2190. List the prime factors of y.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -373.\nAnswer: -1492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860341053 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v - 34. What is a(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0073 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 12:38 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 26143*n - 54791*n + 80934*n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.04507ml in litres?\nAnswer: 0.05104507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2042 = -2*a, 3*y - 2*y - 3*a - 523 = 0. Suppose -3*p + 1819 - y = -3*u, 0 = p - 5*u - 421. Is -3 - (-1 + p\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18348 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 18*q - 72. Let y be n(7). Solve 0*b - 2*v + 8 = -3*b, 0 = -b + y*v - 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3323 - 3323 - j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-504)*12)\/((-4)\/(-28))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, h: 1, f: 3, o: 1, e: 3}. Give prob of sequence fhf.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**6\/360 + 3*f**5\/40 - f**4\/3 + 12*f**3 + 40. Let d(u) be the third derivative of v(u). What is d(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1669 - 1647. Which is the fourth smallest value? (a) -1 (b) j (c) -0.5 (d) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9*y + 124. Let a be v(-16). Let i be 15*((-20)\/6 - -3). Let h = i - a. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 413 - -3091. Suppose -2*z + 3502 = -5*z - 4*t, -3*z - r = 3*t. Round z to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 29. Let g be (-3)\/((4 - 3)*k). Suppose -g*a + 186 = -66. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860404497.\nAnswer: 3, 286801499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 19*s + 211. Let c be k(-11). Let i = -5 + 8. What is the closest to -1 in i, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -90*s + 94*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12368762.\nAnswer: 2, 7, 883483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, z: 1, l: 1, n: 2, r: 1}. What is prob of picking 2 n?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -31475.28 to the nearest ten.\nAnswer: -31480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - y = -27, -4*y = -6*w + w - 42. Let l(u) = u**2 + 5*u + 9. Let i(m) = m**2 + 6*m + 9. Let o(a) = -3*i(a) + 4*l(a). Is o(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000093855 rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2))**29\/(f\/f**(-2\/9))**(15\/4))\/((f**(-1)*f)\/(f\/((f\/((f*f\/(f*f**(-1\/8)))\/f))\/f)))**(7\/3) assuming f is positive.\nAnswer: f**(-743\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5*o + 11 - 6.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 45 (b) -9\/3517 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 24*w**3 - 3 - 54*w**3 + 26*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10052 divided by 2513\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5848 - -5852.917. Let k = b + 0.083. Put -5, 1\/4, k, 8 in ascending order.\nAnswer: -5, 1\/4, k, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 18, 28?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 + 5*y**3 + 9*y**3 - 4*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -165\/628 - -2\/157. Let u = 0 + -0.3. Let z = 0.2 + u. What is the nearest to z in r, -1, 4\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 434, 114, -5, 1\/6 in increasing order.\nAnswer: -5, 1\/6, 2, 114, 434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4432\/8864 - (40\/16)\/(2\/42)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 608585*i + 137266*i - 59 + 59.\nAnswer: 745851*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*(-4)\/(-5))\/(3\/(-15)). Let v be 1\/h*(2 - (-12)\/(-2)). Sort -4, v, 3 in decreasing order.\nAnswer: 3, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j**3 - 287*j**2 + 123*j + 5318. Calculate i(-41).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 625404 and 1688.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 n when four letters picked without replacement from {s: 1, l: 6, b: 1, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2 - 17*v - 91. Give i(-6).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -435, -443, -449, -453?\n\"Answer: b**2 - 11*b - 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = o + 1 - 11, -4*o = u + 11. Let m = -2\/185 + 384\/1295. Is m at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -115.99 - -0.99. Let x = s + 112. Let r = -8 + 8.3. What is the nearest to -2\/11 in r, x, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*c + 54 = 0, 5*m - 5*c - 26 = 2*m. What is the closest to 2\/7 in -2\/5, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = v + 4*a - 56, 2*a = -2*v + 60. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, l: 17}. Give prob of picking 1 h and 1 l.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2194930)\/(-14) + (-2)\/(-7))\/(-508 + 509) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2. Let m(x) = 9*x - 2*x - 4*x + 2*x. Give m(s(c)).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*r**3 + 2 + 12*r - 12*r**3 + 8*r**2 + 25*r**3 - 2*r**4 - 20*r**2 to o + d*r + u*r**2 + n*r**4 + b*r**3 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 6. What is the lowest common multiple of 5 and (4\/2*-5)\/i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1672343 and 1160?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -200221201001 (base 3) to base 10\nAnswer: -373033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 3*m - 156 = -170, -2*q - 12 = 2*m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.3, 0.5, 36, -1\/4, -31 in increasing order.\nAnswer: -31, -1\/4, 0.3, 0.4, 0.5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 117\/27)*147\/(-14). Solve 42*y + m = o + 45*y, 5*o = -5*y + 30 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 22*k + 95. Let n(p) = -29*p - 46. Let w be n(k). What is the greatest common divisor of 18 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31.3 * -899\nAnswer: -28138.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27.6 + -28.81. Let i = d - -1.31. What is the nearest to i in -4, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(539) - (-4 + sqrt(539)*5)) + -4 + sqrt(539) + -1 + 3)**2*5.\nAnswer: -1050*sqrt(11) + 24380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a century in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90325, -90327, -90329?\nAnswer: -90331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1+-62666297\nAnswer: -62666296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37458.33 kilometers?\nAnswer: 37458330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 80, 61, 18, -61, -188, -375?\n\"Answer: -2*q**3 - 5*q + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-22)\/(g**(-8)\/g)*(g**17*g)**(1\/7) assuming g is positive.\nAnswer: g**(-73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 18, 12, 173, 10, -2\/5?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**2 + 1. Let b(r) = 23*r**2 - 36. Determine -b(w) - 5*s(w).\nAnswer: -48*w**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1481 + 2963\/2. Let v = 0.48 - -3.52. What is the closest to 0 in l, 7, v, 3\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 14 = 4*j, 2*c + 1071 - 1076 = 3*j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-18) + 1\/6. Solve -w = -r*w + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 309452 and 429?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1182 - 1215. Let x = 102 - 715\/7. Which is smaller: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113894319 to the nearest integer?\nAnswer: 10672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1448, -3, -2\/9 in decreasing order.\nAnswer: -2\/9, -3, -1448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**3 + 30155*v**2 + 120560*v + 120540 = 0.\nAnswer: -6027, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34317 is divided by 2420.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5\/5 + 318*d**4\/5 + 1548*d**3 - 16446*d**2\/5 + 1677*d = 0. What is d?\nAnswer: -65, -43, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**5 + 3950*z**4 + 579860*z**3 - 168403390*z**2 - 35133446425*z + 35301266000 = 0. Calculate z.\nAnswer: -385, -229, 1, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - g + 453. Let z(f) = -6*f**2 + 4*f - 2266. Let u(r) = 11*t(r) + 2*z(r). Let y be u(0). Is (2\/((-6)\/y))\/((-5)\/15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**(-1))*g*g)*g**(-2))\/(g**3*g*g*g**(-2\/7)) assuming g is positive.\nAnswer: g**(-61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 4*a + 7439, w + 238 - 1722 = 3*a. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 + 24*x**4 + 44*x**3 + 24*x**2.\nAnswer: 4*x**2*(x + 1)*(x + 2)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, e: 16}. Give prob of sequence emm.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 7449416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138*m + 130*m + 174*m)*(2*m**2 + 12 - 12 + 0 - 2*m**2 + 0 + (m - 3*m + 4*m)*(-m + 1 - 1)).\nAnswer: -332*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1554 - 0.3?\nAnswer: 1553.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -1, 11657 in decreasing order.\nAnswer: 11657, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 - 23*j**2\/3 - 82*j\/3 + 160.\nAnswer: -(j - 3)*(j + 10)*(j + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 1, c: 3, b: 2, r: 3, w: 2}. What is prob of picking 2 c?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**3 + 10*n**3 - 3*n**3 - 4*n**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 39.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 19 = 7. Let i = z + 10. What is the first derivative of 0*o**4 + 0*o**i + 2 + o**4 wrt o?\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssddsddsdd. What is prob of picking 3 s?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s - 13. Let w be g(-4). Solve 0 = b - 4*b + 3*j + 27, -w*j - 11 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-one fifths of a hour?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66*u**2 - 75*u - 9.\nAnswer: -3*(u + 1)*(22*u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -5386222 in ascending order.\nAnswer: -5386222, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 462*f + 763*f - 301*f.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/11))\/i*i\/i**(-1\/10)*((i\/(i**(6\/7)*i))\/i)\/i*i**(2\/3) assuming i is positive.\nAnswer: i**(-2309\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -4, -3 in decreasing order.\nAnswer: 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 9. Suppose -12*y + 2*v - 14 = -16*y, 4*v + 12 = 0. Suppose -7*a + 2*a = -y*g + 40, -4*g + 3*a = -33. What is x(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y + 22*y + 5*l = -2135, -3*l = -2*y + 854. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.94849 grams in kilograms?\nAnswer: 0.05494849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -8 - 53*c - 5 + 4*c**2 + 5*c**2 + 16 - 7*c**2. What is r(27)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 120*30\/825\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 4*n + 106, 3 = 3*n - 0 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 2442 = -4*o + 7*j, -4*j = 3*o - 1834. What are the prime factors of o?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5 - 3. Suppose -k*o + 728 + 1272 = 0. Round o to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 482\/(-252) - 2\/(-1). Let z = j - -1\/18. Which is the closest to 0? (a) 3\/5 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 645 divide 62441805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2677 + -2676)\/((-1)\/(-26))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 41468766976 and 12.588?\nAnswer: 41468766963.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319235 divided by 697.\nAnswer: -319235\/697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwqhqkkcqqhykhkckkkq. What is prob of sequence wkqc?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 182454 - 98077. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/(-48))\/((-1288)\/642 + 2). Let m = -161 + r. Let y = m + 46. Sort -4, 3, y in increasing order.\nAnswer: y, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/(-3) - (-9020)\/(-451))\/((-2)\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 7*r = -5*m, 0 = -3*m + 3. What is the hundreds digit of ((-21155)\/(-60) - r\/3)*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-258)\/15)\/((-25)\/125 + 18\/30).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 4:07 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1\/5 in ascending order.\nAnswer: -4, -1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -2219104?\nAnswer: -1109552","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/2 + 1647*s**2\/2 - 340308*s + 1013526.\nAnswer: -(s - 822)**2*(s - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from zznzznzzznnnnnznnzz?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - c**2 - 12 + 12.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5656\/(-202)*((-105)\/(-20))\/3.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/34370 and 61\/1450.\nAnswer: 4983650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 10065 (c) -5 (d) -2\/3 (e) -0.7 (f) 4\/7 (g) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0872 - -3.9128. Let b = -4.229 - -0.029. Let p = o + b. What is the second smallest value in 2, 4, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15, -138, -461, -1080, -2091, -3590, -5673, -8436?\n\"Answer: -16*w**3 - 4*w**2 + w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101022202 + 110120220?\nAnswer: 1211220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -814*q**3 - 3 - 5 - 97*q**2 - 91*q**2 - 90*q**2 + 280*q**2.\nAnswer: -814*q**3 + 2*q**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, -4, 0, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 17*f + 529. Let p be k(-33). Is p at least as big as 1565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940 a factor of 408876610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/25 in -4, -1.7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + t**2 + t**2)*(t + 0*t + 0*t)*(1 + 5 - 3)*(96 - 31 + 18).\nAnswer: 249*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i + 1. Suppose -2*z = -5*z - 3*d + 6, 0 = z + 3*d - 8. Let w be 8\/(z - (3 + -6)). Let u = w - 3. Calculate l(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 195*y - 6593. Give l(26).\nAnswer: -1523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v - 19. What is the tens digit of r(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 432 divided by 28715\nAnswer: 432\/28715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81776912 - 0.6.\nAnswer: -81776912.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7631118 to the power of 1\/2, to the nearest integer?\nAnswer: 2762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 19. Calculate the common denominator of 25\/6 and (-2)\/a - 490\/180.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 22 (b) 4 (c) -2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -13. Suppose 0 = -p*r + h + 41, -h + 3*h + 2 = 0. Calculate the remainder when 17 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, -4, 4.42, -1 in decreasing order.\nAnswer: 4.42, -0.11, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, -64, -243, -522, -907, -1404, -2019, -2758?\n\"Answer: -a**3 - 41*a**2 + 45*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14855 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 984 is divided by 968.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*3 + (-19 - -15). Let t(r) = -5*r**2 - 6*r + r**x + 3*r**2 - 1. What is t(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -255 divided by 27910\nAnswer: -51\/5582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l**(1\/6)*l*l)\/l))**(2\/11) assuming l is positive.\nAnswer: l**(-7\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4 + 970*y**3 + 2382138*y**2 - 2181407602*y + 500936565536 = 0. Calculate y.\nAnswer: -1264, 583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4\/((((x\/x**7)\/x*x)\/x*x*x)\/x))\/(x**(1\/9)*x**0))\/((x**(1\/4))**(-40\/3)\/((x**(-4\/3)*x)\/(x\/((x\/(x*x**(-8)))\/x)))) assuming x is positive.\nAnswer: x**(170\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -11. Suppose 0 = -4*k - k - 10. Let s be k\/9*6\/8. Which is the closest to 1? (a) s (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 14 = -4*p - 8*a, 4*a + 17 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -114204 divided by -28551?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1\/p)\/(p\/p**(-3\/5))*(p\/p**(2\/3)*p)**32)\/((p**1)**(-41)\/((p**(-2\/5)\/p*p*p)\/p**(-1))) assuming p is positive.\nAnswer: p**(251\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1536 - -1537. Put -1.5, z, -1\/5, 4 in descending order.\nAnswer: 4, z, -1\/5, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -227892279 or -227892277?\nAnswer: -227892277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + 59. Sort -1, 1\/13, w in decreasing order.\nAnswer: 1\/13, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96 - 96 - 96*r)*(-3*r + 3*r + 4*r**2).\nAnswer: -384*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*b - 32 = -2*t, 5*b = 2*t + 12. Suppose 2*d - 3*f = -8, -3*d - t*f = -8 - 14. Let v(i) = -3 - 3*i - 1 - 2*i**d - 4*i. What is v(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.6 + 0.6. Let l be -72 + -8 + (-1 - -5). Let k be -5 + 1 - l\/16. What is the biggest value in 4\/7, k, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 34*k + 676 = -35*k, -4*k = -g + 324. Calculate the remainder when 1033 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.318 - -233.382. Let z = -234 + u. Which is the third smallest value? (a) -1\/2 (b) 0.2 (c) z (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - (0 - 7) - (-231 + 212)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 3*v - 66. Let s = 115 - v. Suppose -1273*t - 180 = -1288*t. Calculate the highest common factor of s and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 21 - 57. Solve 2*m + o = 5*m, -3*i = 3*m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**4\/9 - 4808*r**3\/9 - 988066*r**2\/9 - 16390612*r\/9 - 3207488 = 0.\nAnswer: -2179, -207, -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3334902, 6669804, 10004702, 13339596, 16674486, 20009372?\nAnswer: 23344254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (803\/(-55) + 15)\/((-4)\/(-30)). Let f(p) be the first derivative of 9\/2*p**4 + 6*p**s + 0*p + 8 + 0*p**2. What is the third derivative of f(c) wrt c?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27338 - -27340. Factor 24\/5*q**m - 51\/5*q + 6 - 3\/5*q**3.\nAnswer: -3*(q - 5)*(q - 2)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 take away -210296977?\nAnswer: 210296882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (148\/6)\/(10\/75) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55658, -4, -2, -119 in descending order.\nAnswer: 55658, -2, -4, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 159570 = -k, -4*d + 3*k - 1885 = -214640. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -20*o**5 + 7236*o**4 - 81932*o**3 - 2600916*o**2 + 4927552*o + 1088880 = 0.\nAnswer: -15, -1\/5, 2, 26, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 3*q + 14 + 9 + 29 - 4, 0 = -2*m + 4*q + 34 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a hour in minutes?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*i - 10, -53*a + 48*a + 8 = -4*i. Sort -24, -1, a.\nAnswer: -24, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, d: 3, v: 1}. Give prob of picking 1 d and 1 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21241 * -0.2.\nAnswer: 4248.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*h - 130*h - 17 = -3*a, -5*a + 5*h + 5 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -965.168278039.\nAnswer: 965.668278039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, 10\/47, 1\/2 in descending order.\nAnswer: 5, 1\/2, 0.3, 10\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**2. Let n be 24\/(-20)*30\/(-9). Let j be (n\/(-2))\/(-2) + 73. Let p(z) = -6*z - j + 74. Give p(l(t)).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (28\/6 - (-36)\/144)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -314 + -1?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33.83 + -35.83. What is the biggest value in c, -5, 4601?\nAnswer: 4601","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339864?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 47*g**2 - 27*g**2 + 2*g - 22*g**2)*(4*g - 4*g - g**3).\nAnswer: 2*g**5 - 2*g**4 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -4*g + z, -5*g + 71 = 912*z - 909*z for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 2*z - 50, -260*z + 52 = -3*p - 264*z for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 374174*x + 74. Let t be b(-1). What is t rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6701 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 146*s - 9. Suppose -5*k + 3*o = -26, -4*k + 3*k = 5*o - 22. Let p be u(k). Suppose -4*j = -21787 - p. Round j to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 60816032\/(-48) - (-9)\/((-108)\/(-8)). What is l rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 486 divided by 9\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24859375 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -170, -246, -318, -386, -450?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j. Let q be z(3). Suppose 0 = 2*i - 7*i - c + 120, -2*c = q*i - 79. Suppose 0 = 3*r - 13 - i. Solve -r = -4*o - 4*n, o = -n - 4*n + 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**5\/20 - 19*q**4\/6 + 41*q**3\/6 + 95*q**2\/2 - 149*q. Let h be n(-39). Solve -h*m = -12*m - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -125 - -121. What is the smallest common multiple of 21 and (-2 + (t - (-39)\/6))*42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -3*w - 27\/2*w**2 + 12. What is the units digit of m(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 12*v - 5. Let q be b(-7). Let f = 34 - q. Suppose u = f*m - 102, -u + 67 = 4*m - 31. Calculate the highest common factor of m and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*q - 3*q + 5*q)*(2 - 1 - 4) + (0 - 3 + 1)*(-2*q - 3 + 3))*(-586*q**2 - 86*q**4 + 586*q**2).\nAnswer: 172*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.5 (b) 12 (c) 2\/11 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + 0.3. Let w = -53.93 - -0.93. Let o = w + 54. What is the closest to o in 3\/2, c, -0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + 1 + 2 + 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*18\/(-1260)*-14*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58379239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/7 + 3375*u**2\/7 + 947529*u\/7 - 950907\/7.\nAnswer: 3*(u - 1)*(u + 563)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 2)*(-68 + 9*r + 68 + 3 - 3 - r + (4*r - 3*r + 2*r)*(-4 + 2 + 0)) in the form w*r + x and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, v: 3, y: 2}. Give prob of sequence yvey.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 4965*p - 69294. Give m(14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 6*i**2 + 5*i**2 + 3*i**2.\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Let z(v) = -7*v - 52 - 3*v**2 + 94 - 45. Let y(q) = -1. Let c(x) = m*z(x) - 3*y(x). What is the second derivative of c(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12507 to the nearest one hundred.\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 3*o + 32, c + 1954 - 1962 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -291*u**4 + 2*u + 574?\nAnswer: -3492*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 4:03 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77520137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -232*r + 83. Let o(f) = -111*f + 43. What is 6*h(y) - 13*o(y)?\nAnswer: 51*y - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (sqrt(1200)*-1 + sqrt(1200))\/sqrt(4)*2)**2.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 9*q. Let w(x) = -10*x**2 + 40*x**2 - 15*x**2 - 12*x**2. Determine u(w(h)).\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2777.0767 + -2777. Round h to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 4*z - 1. Let w be 16\/6 + 1\/3. Suppose w*x = x + 4. Let y be ((-1)\/2)\/(x\/8). Give m(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**2\/3 + 29*w + 1190\/3 = 0.\nAnswer: -70, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*((-98)\/4)\/(-1). Suppose 5*r - 2*d - 60 = 43, 2*d = -3*r + f. Does 19 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -152963, -305984, -459005, -612026, -765047?\n\"Answer: -153021*j + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008712 rounded to five dps?\nAnswer: 0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-9\/2))**(31\/4)\/(o**(-1\/21))**(-17) assuming o is positive.\nAnswer: o**(7025\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-165)\/(-44) - 4\/(32\/6). Suppose 1583 = t*a - 7099. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 + 20 + 6*y**3 - 7*y**3 - y**3.\nAnswer: y**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 0*i + 3*i - 5*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from haahcahhc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -557792.4 rounded to the nearest 100?\nAnswer: -557800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -104*y + 233. What is the remainder when 33 is divided by t(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7120 divided by 4.\nAnswer: -1780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -229*z**5 - 38*z + 12*z**4 + 155*z**5 - 18*z**4 + z**3 + 6*z**4 wrt z.\nAnswer: -1480*z**3 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(2 - 4 + 1)*(-780 - 69*y + 124*y - 53*y).\nAnswer: -4*y + 1560","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3752*-0.1.\nAnswer: 375.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.1014\nAnswer: -0.2028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (5 - 4 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3373 + -3368. Suppose k - 7 - 7 = -5*d, -6 = 5*d - 4*k. What is the least common multiple of f and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 12:57 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 51795790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7297.28 + -6831. Let k = s + -466. Is -1\/6 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 670159 and 8807804?\nAnswer: 61654628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = -6. Suppose -12 = -j*a + 2*a. Suppose -4*r = -n - 0*n - 9, 0 = 4*r + 5*n - 27. Solve r + a = 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**(-2\/23)\/s*s)\/s)\/s*s**(-3)\/s*s**(-1)*s*s*s**5*s**(2\/11)\/((s\/s**0*s)\/s)*(s\/(s\/(s\/(s*s\/(s*s\/s**(2\/9)*s))*s)))\/s**(-3\/7) assuming s is positive.\nAnswer: s**(52618\/15939)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*v**5 - 8246*v**3 - v**2 - 7418687*v?\nAnswer: 1020*v**2 - 49476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezez when four letters picked without replacement from {z: 3, e: 2, u: 3, r: 8}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 10*d**2 + 2*d. Let s be o(-2). Let t(q) = -45*q - 5*q - 5*q + s. Is t(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 11*w - 2. Let l be s(-11). Let c be 71 + 5 + 6\/l. Suppose 3*t - c = 4*f + 11, 0 = f - 3. Is t a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 59 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1489\/(-348) + (-42)\/(-56) + 4 and 26\/7.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(675\/(-36)))\/((-52)\/10)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(4\/(-12)*3). Let g(y) = -y**3 + 5*y**2 - 2*y - 6. Let r be g(h). Solve r*m - m = -15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - i - 2. Let m be t(-2). Suppose m*a + 52 = -64. Let v be a\/(-3*3\/(-9)). What is v rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158 - -166. Suppose 0 = -k*o - 4*o + 9576. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.354 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 339423 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -3. Let d = -18.2 - n. Let t = 0.158 + d. Round t to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-40))\/(511\/(-365))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 78 = -77. Suppose -4*u = 5*p - 4, 0 = 3*p + 4*u - 5 + b. Factor -2\/9*a**4 + 0*a**3 + 1\/9*a**5 + 2\/9*a**2 - 1\/9*a + p.\nAnswer: a*(a - 1)**3*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -10793, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45648.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15849\/25 + 634. What is the common denominator of s and 79\/40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34.37 - -34. Let r = 0.07 + i. Let x = 131 - 658\/5. Which is the closest to 1? (a) r (b) 2\/15 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 - (-59 + 31 + -6).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20127117849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a centimeter in micrometers?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) 12 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47224208431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.5 + 8. Let n = j - 3. Let l = -0.3 + n. Which is the nearest to 1? (a) -4 (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4734671 greater than or equal to 9469339\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 4\/(-20)*-5. Let g(r) = 32*r**b - 12*r**2 - 8*r**2. Let d(p) = p**2. Calculate d(g(a)).\nAnswer: 144*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**5 - 12*l**4 - 500*l**2 + 2*l + 4*l**3 - 2 + 2 - 10*l + 512*l**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1284\/30 + 4*4\/(-20). Suppose 377043 = 9*r + t*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2892 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, t: 3, h: 4, s: 3, z: 3}. What is prob of sequence ts?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62089700 divided by 25604.\nAnswer: 2425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*a - 734444 = 656534. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 7*p - 2 = 4*v, -2*p - 4*v = 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -93992*b**2. Let a(l) = -l**2. What is a(f(r))?\nAnswer: -8834496064*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r - 173. Let h(m) = 4*m - 171. Calculate 2*h(o) - 3*n(o).\nAnswer: -o + 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 268090 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 32 = -5*i. What is the remainder when 3 + -1 + -1 - i is divided by (-2)\/4*(-5 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -711 + 414?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 6*c**2 - 8*c - 5. Let k = 203 - 210. Give z(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 621 - 47. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-41 - -50) + (7 - 0) + -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -226740 divided by -3\nAnswer: 75580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/111 - (-3584)\/10360.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5441\/5 + -1076. Let b = a - 12. Put 1, 2, b in descending order.\nAnswer: 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1814770799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 9*r - 12. Let c be i(4). Calculate the greatest common divisor of c and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14 - 18 - 64*x + 4 + 275*x**4 + 452*x**4 - 3*x**2 wrt x.\nAnswer: 17448*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -19\/2 (c) 5 (d) 2\/5 (e) -0.2 (f) 177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 4*q**2 + 4*q - 5. Let i be 4\/(-14) + 90\/21. Let g be j(i). Suppose 2*n - n + 2*a - g = 0, 4*n - a - 80 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 14. Let p be (2\/z)\/1 + 1853\/34. Suppose -4*d - p = -9*d. Solve 0 = 2*u + d - 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-2 - (8 - 2 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -12, -217, -3136 in descending order.\nAnswer: -3, -12, -217, -3136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1972 and 357?\nAnswer: 41412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*q + 11, 0 = -i + 5*q - 3*q + 11. Suppose i*s = 2*p - 132, 5*p - 145 - 172 = s. Calculate the greatest common factor of 21 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84250 + -27128443\/322. Let n = 5\/46 + h. Let x = 898 + -893. Which is the nearest to n? (a) 1\/7 (b) x (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*q + (2*q + 2 - 2)*(0 + 5 - 4) - 5*q + q + 3*q + 0*q - 24 + 2*q + 39.\nAnswer: 5*q + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 81810.88nm in micrometers?\nAnswer: 81.81088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 21 - 650 = -23*v, 61 = 2*v + m for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aavavalx. Give prob of picking 1 a, 1 v, and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2245, -4754, -7241, -9694, -12101?\nAnswer: -14450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 - 4*i - 2*i**3 + 0*i**3 + i**3 - 3 - i**2. Let z be c(-2). What are the prime factors of (z - -5)*5\/2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -863 - -1375. Let t = 21 - 23. Is 16 a factor of (t\/(-1))\/(8\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857966 equal to 1857977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 4*p**2 - 3*p + 5. Let n(l) = l**3 - 10*l**2 + 6*l + 31. Let s(f) = 3 + 13 - 2*f - f + 4*f. Let v be s(-7). Let y be n(v). Determine o(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*x - 162*x - 27 + 27.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 63*f**4 + 98*f**2 + 98*f - 1792. Let n(p) = -8*p**4 - 12*p**2 - 12*p + 224. Let g(r) = 49*n(r) + 6*z(r). What is the first derivative of g(h) wrt h?\nAnswer: -56*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 154*m + 1960. Let l be r(-14). Let o(x) be the second derivative of l - 47\/2*x**2 + 1\/3*x**3 - 21*x. Differentiate o(q) wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 5*k + 15, 3*f = -3*k + 1111 - 1141 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -161.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(637) + 0 - sqrt(637))*-6 - (-2 + 0 + sqrt(637))) + 0)**2.\nAnswer: -28*sqrt(13) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*b = 1680, -4*g + 9121 = -2*b + 2457. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2233 and 56028?\nAnswer: 616308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96 + 166. Suppose 4*z - g = 10. What is the tens digit of 4\/z + 148\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**3 - 12*t**3 - 4 + 14*t + 11*t**3 + 2*t**3 to g*t**2 + m + i*t + v*t**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-195)\/(-12) + 1\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243 and 9963.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 17 + 3*k - 8 - 4*k. Suppose -4*r - 5*w + 49 = 0, -3*w = -0*w - 15. Let m be v(r). Solve 0 = 3*n + m, -4*n + 7 = -5*s - n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 + 4*y**4 + 0*y**4 + (-3*y - y**2 + 3*y)*(0*y**2 + 4*y**2 - 2*y**2).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12180496?\nAnswer: 2, 113, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*m - 3 = 0, -4*m = g + g. Let p(t) = -2*t - 6 - 4*t**2 + 3*t - 7*t. Let l(q) = -5*q**2 + 7 + 7*q + 7*q**2 + 3*q**2. Determine g*l(o) - 7*p(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 700930.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4 + sqrt(2736) - sqrt(2736))**2 + 5*sqrt(190)\/sqrt(10) + ((-4*-1*sqrt(114))\/(sqrt(54)\/((sqrt(9) - sqrt(81)) + sqrt(9)) - sqrt(6)))**2).\nAnswer: -460 - 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.5, 3.2, -0.1, 12, -1.\nAnswer: -1, -0.1, 0.5, 3, 3.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31130273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30\/(-9) - -2)*648. Let k be w\/(-14) - 6\/(-21). Suppose i + 9 = k. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194583673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 + 4*x**2 - 3*x - 6. Let b be g(2). Let i be 4*(-4 + (-125)\/b). Solve -4*l - 3*c = i, c = -5*l + 2*c + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 10:40 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + 1 - 1 + (2 - 5 + 5)*(-3 + c**2 + 3) - c**2 + 3*c**2 + c**2 + 1 - 1 - c**2 - 3*c**2 + c**2 + c**2 + (-2*c**2 + c**2 + 2*c**2)*(-1 - 1 + 1).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -4, -5, 3, -3282?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 4*u - 3. Let n be w(-3). Suppose n = -4*x - 5*h + 96, 3*x + 6*h = h + 67. Let j = x - 27. Solve z - j = -0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-2)*6800\/(-2125).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3614217686 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 0*q**5 + 1\/24*q**4 + 0*q**3 + q**2 + 0*q**6 + 1\/70*q**7 + 0*q + 0. Find the second derivative of u(h) wrt h.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2813*t**2*v**2 - 2*t**2 + 2*t*v**2 - 2*t*v + 2596*v**2 wrt t.\nAnswer: -5626*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**8\/28 - 17*k**4\/12 + 19*k**2. Find the second derivative of c(d) wrt d.\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0259 - 0.01913. What is q rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4745585 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 942*o**2. Let b(l) = -l**2 + 7679*l. Determine b(q(u)).\nAnswer: -887364*u**4 + 7233618*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - b + 116. Suppose -2*p - 10 = -g, 6*p + 25 = 2*g + 3*p. What is the lowest common multiple of b and g?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213718 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*s**3 + 1 - 1 + (2*s - 3 + 3)*(-s**2 + 3*s**2 + 0*s**2) + 12*s**3 + 61 - 61.\nAnswer: 31*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 5*p + 6. Let s be (-4 + 3)*(-2 + 2). Suppose 11 = 4*l - 2*b - 11, 4*l - 5*b - 25 = s. Determine o(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(55)\/sqrt(80)*6)**2 + 5.\nAnswer: 119\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5825 + -5830. Let q(a) = -26*a**2 - 5*a - 7. Let n(y) = 0 + 14*y**2 + 3*y**2 + 3*y + 5. Let i(x) = v*q(x) - 7*n(x). Factor i(s).\nAnswer: s*(11*s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 47, 130, 267, 458, 703?\n\"Answer: 27*x**2 + 2*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 5*a**2 - 5*a + 4. Let z be s(4). Suppose -4*n + z*n + 36 = 0. Let m be (1 - -47)*(-6)\/(-8). Calculate the greatest common divisor of m and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 48*w + 389. Let o be h(-8). Solve -4*n + 8*n = -f + 3, -o*f = -3*n - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(-2*m + 2*m - 2*m)*(1 + 0 - 4)*(0 + 0 + 2).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -2*s**3\/21 + 212*s**2\/7 - 22472*s\/7 - 171. Factor k(c).\nAnswer: -2*(c - 106)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, -3\/5, 3, 63?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(3630\/(-88))*15\/6)\/(-60).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 94*n**2 + 156*n - 13. List the prime factors of h(6).\nAnswer: 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1486579004?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 + 6*v**2. Let d(o) = 6*o**3 + 19*o**2 + 1. Calculate -2*d(j) + 7*x(j).\nAnswer: 2*j**3 + 4*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 9. Let h be x(5). Suppose -h*a = 93 + 7. What is the common denominator of a and 14\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10112*m + 11398 = 122630 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1648734*t**3 + 773689*t**2?\nAnswer: -9892404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**3 + 0*m**3 + 2*m**3 - 12*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1138*q**2 - 761*q**2 - 171*q**2.\nAnswer: -2070*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5277.\nAnswer: 3, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*l + 4*f - 322 = 0, f + 0*f + 34 = -8*l + 4*f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 - 111.0316. What is p rounded to 3 decimal places?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2095078?\nAnswer: 2, 1047539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*h - 413*h**3 - h**4 - 4*h**2 + 0 + 1 - 400*h**3 - 18*h + 812*h**3 to the form d + j*h**2 + z*h**4 + v*h + p*h**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6384 is divided by 82.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 3*o + 0*o)*(-40 - 13 - 37)*(-1 - 1 + 1).\nAnswer: -270*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 0 + 1 + -3. Suppose v - 12 = -4*h, 3*h + 2*v + 0*v = 4. Suppose 2*j + 26 = -n + 41, -h*n = j - 81. Put 1, m, n in decreasing order.\nAnswer: n, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**2 - 5 + 652*o**3 - 326*o**3 + 5 - 321*o**3.\nAnswer: 5*o**3 + 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 154799504 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 2006 and -5994 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 136*c**2 - 5*c - 14. What is the hundreds digit of h(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -23 + -1 + -51 + 32 + -3 + 31\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1615 divided by 7?\nAnswer: -1615\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -16. Let x be ((-18)\/4)\/(3\/(-4)). What is the greatest common factor of c and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47290.\nAnswer: 2, 5, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 9*y**2. Let a(r) = 723*r**2 - 2*r - 6. Let g(s) = 3619*s**2 - 11*s - 33. Let w(h) = -11*a(h) + 2*g(h). Calculate b(w(j)).\nAnswer: 4601025*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*n**2 + 16*n**2 - 45*n**2 - 36*n in the form p*n + y + l*n**2 and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 8) to base 6\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 453024 (base 6) to base 13.\nAnswer: 14542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3799, -7657, -11583, -15583, -19663, -23829?\n\"Answer: -l**3 - 28*l**2 - 3767*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8*-4.554294\nAnswer: 36.434352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 times 76732?\nAnswer: 4987580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72862246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4795 and 210.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orborcrcizczob. What is prob of sequence bci?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1357541*s. Let a(m) = m**2. Give z(a(q)).\nAnswer: -1357541*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32 + 34 - 19*s**2 - 53*s**2 + 79*s**3 - 50*s**3 - s**3 + 422*s wrt s?\nAnswer: 168*s - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 466\/5 - (-9)\/(-45). Let m = f + -110. Find the common denominator of m and -33\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(9\/12*(-27)\/(-486)*(-120)\/8).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*u - 19, -2*q + 3*u + 10 = -6. Calculate the remainder when 21 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from mmhbhhkhfpfffffhfhb.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 238, 410, 620, 880, 1202?\nAnswer: 1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.9 - 8. Let r = s - -0.4. Let y be (0 + 0 + (-32)\/8)\/4. Sort 3, y, r, 0.2.\nAnswer: y, 0.2, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 5*y**2. Let x be l(4). Let i = x - 4. Let z(r) = -r**2 + 11*r + 14. Let v be z(i). Solve 0*p - v*p - 6 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 111 and -0.5?\nAnswer: -55.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(15)\/sqrt(3) + sqrt(5) + -3*sqrt(5)*4 + 2.\nAnswer: -10*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*r + 4 + 14, r - 14 = -l. Suppose -5*v + 47 = j, 0*j - 2*j - 5*v = -69. Calculate the greatest common divisor of l and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/4128 and -115\/192?\nAnswer: 8256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3 - 4 + 2 + 0. Let p be (-1 + 1)*(-8)\/(-8). Suppose -13*l + 16*l - 9 = p. Let x(y) = y + 6. Determine l*q(s) + 2*x(s).\nAnswer: 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 13*h. Let q(n) = -1. What is -2*m(z) + 2*q(z)?\nAnswer: -26*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -8. Let t = h - 16. Is 1\/(-3) - 86\/t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -k - 9, 3*k = 6*k - 2*g - 12. Suppose 18*y - 6*y - 144 = 0. Calculate the highest common factor of k and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 557176, 1114347, 1671512, 2228671?\nAnswer: 2785824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10381, -10324, -10193, -9952, -9565, -8996, -8209, -7168?\nAnswer: -5837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 0, 4.\nAnswer: -6, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79347357?\nAnswer: 3, 113, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3087) + (-1 + sqrt(3087))**2 - sqrt(3087)) + (sqrt(252) - ((sqrt(252) + 0 + sqrt(252))**2 + sqrt(252))) + sqrt(252).\nAnswer: -36*sqrt(7) + 2080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -21. Let h = 17 - f. Solve -2*p = -3*x - 11, h*x - x = p - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 389*z**3 - 2. Let f(a) = -389*a**3 + 2*a**2 + 3. Give -2*f(q) - 3*v(q).\nAnswer: -389*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 233556399 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83 - -119) + -21 + -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4.8 + -43\nAnswer: -47.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 118298.6 and -48.233?\nAnswer: 118346.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 greater than or equal to -184\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from {k: 1, d: 1, m: 12}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 10133318.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - k**2 - k**2)*(-32 - 77 - 40).\nAnswer: 596*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -1339*x**3 + 9789*x**2\/2 - 2457. What is the second derivative of h(y) wrt y?\nAnswer: -8034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1252 and -0.1.\nAnswer: 0.01252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 29 = 5*c, -l + 4*c - 10 = l. Let a be 3 + l + -1205 + -4. Let s = a - -2476. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2 = -2*x, 4*o + 0 = x + 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -0.9. Let f = 9 - 8.3. Let n = f - a. What is the smallest value in -0.3, 4, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l. Let u be n(-1). Let m be u\/6 - 50\/(-15). Let h(f) = -5*f + m*f + 3*f. Determine h(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.599943 millilitres in litres?\nAnswer: 0.004599943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4 - 1064\/912)\/(8\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -4 - (16 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138 by 3.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - l**2 + l + 3. Let q be j(-4). Let t = q - 20. Suppose 17*b - t*b + 100 = 0. Solve 4*h + h + b = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + ((sqrt(3520) - (sqrt(3520) - sqrt(3520)*-2)) + sqrt(55))\/sqrt(11) + 3)*6.\nAnswer: -90*sqrt(5) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 608.4 minus -3629.5?\nAnswer: 4237.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 9) to base 10.\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 225, -3*s - 216 = 1241*z - 1238*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 795, 14\/15, -0.08?\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -674*d + 26 = -661*d. Solve -5*u = -u + d*s - 2, -u - s = 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1304 - 709. Is 35 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d - 4*d + 3*d + (-2*d - d + 5*d)*(-3 + 0 + 2) + (-7 + 3 + 2)*(0*d + d + d).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -29*p**4\/4 + 3*p**3 + 42. Find the third derivative of j(b) wrt b.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 381.59129 to zero decimal places.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3870 and 6870?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 164 - 152. Suppose p = 2*f + 8. Solve -f*z + 5 = 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + v**2 - 1)*(-11 + 32 - 23 - 26*v) to u*v**3 + h*v**2 + g + s*v and give u.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.11 + -2.11. What is the second smallest value in -1\/8, 1, h?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-8))\/((-1)\/((-12)\/45)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mklkkimikikglikks. What is prob of sequence gm?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2181, -2055, -1919, -1767, -1593, -1391, -1155?\n\"Answer: a**3 - a**2 + 122*a - 2303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(5\/2)*k**(1\/6)*(k*(k\/(k*k\/(k*k*k**(-1\/9)))*k)\/k*k*k)\/k*k**(-6) assuming k is positive.\nAnswer: k**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2a2 (base 11) to base 16\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 36 = 12. Let t be -1 + -1 - a\/((-6)\/(-3)). Let 4\/3*g + 4\/3 + 1\/3*g**t = 0. What is g?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192641 is divided by 96252?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3338 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 17 - 3. Suppose 4 = -4*r + b*q, 2 = -4*r + 3*q - 2. Is -1\/6 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40273803 is divided by 10068445?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 1, -f - 2*w - 68 + 66 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*k - 133 = 15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -3 + -1 + (sqrt(1700)*-2 - sqrt(1700)) + 2)**2.\nAnswer: 112*sqrt(17) + 13332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*c**4 + 3*c**3 + 3*c**2 - 1736*c wrt c?\nAnswer: 360*c**2 + 18*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 16) in base 3?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 899728976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-876)\/(-2760) - (-268)\/(-15410)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p. Let u = 19 + -17. Let h(a) = 39*a**2 - 74*a**u + 38*a**2. Calculate h(o(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1769, 1745, 1, 0.5, 2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4793366*x - 7804510 wrt x.\nAnswer: -4793366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/9, 1, -345?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40460958?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, l: 11}. What is prob of sequence ll?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcaqavcvccsv. Give prob of sequence sc.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1137298910 to the nearest integer?\nAnswer: 33724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 3. Let j be s(4). Suppose -j = -g + 4. Find the first derivative of -8 - k**2 - 2*k**2 + g wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((-54)\/60)*1*-426 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2510000 rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -188*z - 1227. Determine y(-14).\nAnswer: 1405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 239953 - 144.09.\nAnswer: 239808.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -33*g**2 + 66*g - 3. Let y(z) = -17*z**2 + 4 - 2*z - 4*z - 59*z + 49*z**2. Let a(h) = 4*x(h) + 3*y(h). Find the second derivative of a(l) wrt l.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 27 = 6*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t - 181*t**2 + 91*t**2 + 89*t**2 - 20*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3480 and 5829.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 7. List the prime factors of n(-11).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206646977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 9 = r + 43, 0 = 3*r. Solve -6*b + 2*b - 2*n + 26 = 0, -2*b = -5*n + f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 2. Suppose j = -5*n - m + 34, -1 = -n + m. Suppose 5*r - n*c = 850, 0*c - 850 = -5*r - c. Is r a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18732781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - -0.68. Let j = 5.08 - o. Suppose 4*a + 5 = 1, 3*f - 3*a - 6 = 0. What is the second biggest value in f, j, -1\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -848, -1748, -2658, -3584, -4532, -5508, -6518?\nAnswer: -7568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -10.955. Let d = -0.049 - p. What is d rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*y**2 - 51*y**2 - y**5 + 28*y**2 wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -68?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 31. Let g(z) be the first derivative of 35 + 17*z + 5\/2*z**2. Let q(d) = 2*d + 6. Calculate a*q(c) - 4*g(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -h - 7, -5*h + 22 = -3*r + 1. Let l = h - 4. Suppose -4*t - 2*g = -3 - 11, 0 = t - 3*g + 14. Which is the nearest to t? (a) 1\/3 (b) 0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 355603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (((-168)\/133)\/(-12) - 3855\/29944)*4 and 18\/7.\nAnswer: 2758","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 5*o**2 + 8*o - 2. Let k be v(3). Suppose 0 = -3*p - 5*c + 26 + 24, -k = -4*c. What are the prime factors of -3*5\/p*-31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 7*z**4\/24 - 37*z**2 - 10*z. Let b(p) = -219*p**2. Determine k(b(u)).\nAnswer: -1533*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 12 = -4*p, 0*x + 6 = -2*x. Let q(k) = -k**3 - 8*k**2 - 8*k - 6. Let g be q(-7). Let c = g + 2. Solve p = -3*i + c - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**2 - r. Let n be z(1). Suppose 4*t + q = -q + 14, -t + n*q = 19. Sort -4, t, 4.\nAnswer: -4, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-6))\/s*s*s*(((s\/s**20)\/s)\/s*s)\/s)\/(s*(s**(22\/9)\/s)\/s)**(-1\/6))**(-36) assuming s is positive.\nAnswer: s**(2674\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 12*v**3 + 119*v**2 - 8*v - 4. What is l(-10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a8 - -8?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -66 - 220?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 12*f + 17. Let c be x(13). Solve 5*k = 9 - c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52634.97l to millilitres.\nAnswer: 52634970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 < 53714\/143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 6:38 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13.968 times -99.6\nAnswer: 1391.2128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -566\/7, 3, 4, 0.02?\nAnswer: -566\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3422\/8931 - 1\/687. Suppose g = -2 + 1. Does h = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + (-2 + ((sqrt(171) - (-2*sqrt(171) + -3)) + sqrt(171))*5)**2.\nAnswer: 1560*sqrt(19) + 68568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4051203411?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3)**(27\/2)*x\/(x**(2\/3)\/x)*x*x*x*x**(1\/3) assuming x is positive.\nAnswer: x**(271\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6467 or 6475?\nAnswer: 6475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 + -88. Let i = -27 - w. What is the nearest to -2\/11 in i, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -27*k + 5. Let q be k - 370*(-2)\/4. Calculate the greatest common divisor of 138 and q.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1928 - 1752. Let k(p) be the third derivative of -5*p**4\/24 + p**3\/6 - p**2. Let u be k(-3). Calculate the greatest common factor of v and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020503504 to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3.656628um?\nAnswer: 0.003656628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1\/2. Is b at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325231.\nAnswer: 325231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -2*a**3\/3 + 6. Let m(v) = -4*v. Calculate n(m(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 626363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1*sqrt(121)*-2 - sqrt(121))*-3)\/((sqrt(11) - sqrt(132)\/(sqrt(12) + 2*sqrt(12))) + -3*sqrt(11)*1).\nAnswer: -27*sqrt(11)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 222*o**2 - 221*o**2 - o**3 + 5*o - 2 - 6*o. What is b(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 181 = -173 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w = 4*x + 18, -4*x + 4*w - 24 = 0. Let i be 1\/(-3) - x\/15. Suppose -a - 5*o = -1277 - 555, i = -5*o - 5. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 4:46 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**4 + 1176*i**3 - 192867*i**2 + 6640524*i + 6834564 = 0. What is i?\nAnswer: -523, -1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14 - (-602)\/(-42)) + 20\/6. Find the third derivative of 95*p**3 + 3 + 11*p - 21*p - 3 + 9*p**2 + 49*p**l wrt p.\nAnswer: 864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124.4 + -119. Let w = m - 5.9. Suppose -h + 2 = -2. Sort h, w, 0.4.\nAnswer: w, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 13*n + 5. Let a be q(13). Let v = 13 + a. Let d(w) = v*w**3 + 14*w**3 - 31*w**3. Give d(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19698636?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 6*n**2 - 3*n + 6. Let a be b(8). Let k = -25 - a. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45844 + 182006 + 5730 = 20*u. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/63 + 0 + 411\/27. Solve 0 = 5*q - h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - g + 4*g)*(3*g + 2*g - 3*g) + 0 + 2*g**2 + 0 + g**2 - g + g + (12*g - 44*g - 14*g)*(-5*g + 0*g + 4*g).\nAnswer: 59*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (31 - (-5 - -3)) + 1?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c + 3. Let g(n) = -9*n - 7. Let x(k) = -3*g(k) - 7*l(k). Let w(r) = -r. Calculate x(w(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h + 26*h - 50 = 15*h. Which is the nearest to -4? (a) -0.01 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v + 140 = 0. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1\/2 (c) 3\/713 (d) 18.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -118 + 97 + (3 - 0) + 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - c - 33459 = 0, -133822 = -4*t - 34*c + 36*c. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*h + 4*k, -3*k = 2*h - 6 - 4. Let c = -5 - -1. Put c, h, 0.3 in decreasing order.\nAnswer: h, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103823 a multiple of 441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h + 42. Let z be r(8). Solve z*s - 7*s + 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 (base 12) in base 5?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 166*d - 6147. Calculate b(37).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 3*c = -l, -9*l - 12*c = -14*l - 23*c + 8*c + 7*c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 837649 or 837648?\nAnswer: 837649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**2 + 5*w - 4. Determine o(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 78.95?\nAnswer: 79.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaatppaapptpppaat. What is prob of picking 1 p, 2 t, and 1 a?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 3777*y = 3776*y - 4, -4*b - 5*y = 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 5*l - 5*l + l to the form o + n*l and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -26b351 (base 13) to base 5\nAnswer: -220014232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -28035636231184\nAnswer: -28035636231183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 29*l**2 - 253*l - 31. Let q be s(-36). Let k = -5.4 - -5. Which is the second biggest value? (a) k (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 318 * 0.19832.\nAnswer: 63.06576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 t, and 1 i when three letters picked without replacement from {i: 3, t: 11, e: 4}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29364 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 7*n**2 + 5*n - 5. Let x be 0 + -4 - (-10 - -12). Calculate b(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6452748, 6452747, 6452736, 6452709, 6452660, 6452583, 6452472, 6452321?\n\"Answer: -n**3 + n**2 + 3*n + 6452745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101154 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20040 and 4007165.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92545622?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 10. Is c equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.219051986 rounded to 3 dps?\nAnswer: -0.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 842784?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t - 39*t**2 - 23*t**2 - t + 43.\nAnswer: -62*t**2 - 11*t + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/20205 and -62\/135?\nAnswer: 60615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*w - 53*w + 1805 + 1198. Calculate the remainder when w is divided by 90.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 350 and 686.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*b**2 - 253*b - 244*b - 234*b + 731*b - 81*b**2.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/8 - 25*z**2 + 4301*z\/8 - 5445\/2 = 0. What is z?\nAnswer: -220, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 1 = -11*v + 8*v, -3*b + 22 = -v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 0*b + 3*b)*(16*b**4 - 30*b**4 + 20*b**4) + 2*b**5 - 3*b**5 + 0*b**5.\nAnswer: -13*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150516 and 309394?\nAnswer: 5569092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42.71 - 63.28. Let x = g + 20.6. What is the second biggest value in 3, x, -2\/15, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 95 + 7 = 0. Suppose -n = c - 6. Sort -2\/7, c, -3 in ascending order.\nAnswer: -3, c, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4\/6) + ((-1644)\/48 - -35)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 13872?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12571822?\nAnswer: 2, 6285911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/(-28288)*8048 - -29.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m - 6. Let y be i(5). Suppose -26*r + 384 + 292 = 0. What is the smallest common multiple of (y\/12)\/(2\/12) and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 12:51 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -116249, -116179, -116083, -115961?\n\"Answer: 13*s**2 + 31*s - 116293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5 + 108*y**4 - 2036*y**3 + 1812*y**2 + 2032*y - 1920 = 0.\nAnswer: -40, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6159 - 6191.21. What is c rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2593630?\nAnswer: 2, 5, 13, 71, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1229 = -4*t - 2910, 4*v + 3*t - 16613 = 0. Suppose 5*f + 1381 = w + 4*f, -3*w + f = -v. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g + 1. Determine n(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/6062163 (b) 7\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30125 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/4, 4, -46\/7, 1\/4, -1\/2 in decreasing order.\nAnswer: 4, 1\/4, -1\/4, -1\/2, -3, -46\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556516153 to the power of 1\/4, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43204\/1543 - (-3)\/((-3)\/8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l + 25*l + l in the form w + r*l and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 174311299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 78540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-210)*-4*14\/(-8)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, j: 1, x: 1, p: 1, b: 4}. Give prob of sequence bb.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from ggeellgg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -45*l - 308. Give m(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*x + 33*x - 69*x + (2 + 1 - 4)*(23*x - 58*x + 27*x) to g + u*x and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/3 + -1 + 0. Suppose -m*i + 261 = -i. Suppose 0 = 193*y - 164*y - 522. What is the remainder when i is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/28)\/(5\/7).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29.7 + 30. Let d = 1756.97 - 1756.6700032. Let a = q - d. What is a rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13427 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-177 - -156) + (1 - -41)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.1595 and -0.5.\nAnswer: -3.6595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 5)*(q**4 + 0*q**2 + 0*q**2) + 0*q**4 + 3*q**4 - q**4 - q**2 + q**2 + 2*q**4 + (-12 - 6*q + 12)*(0*q**2 + 2*q**3 + 0*q**2).\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 13*y - 95. Let q be p(-18). What is the hundreds digit of (4\/10)\/2 + (-3514)\/q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 231096*r.\nAnswer: 2*r*(r - 115548)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1473258 (base 9) in base 13?\nAnswer: -227528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 6:11 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r + 3. Let n be p(2). Suppose 2*l + 2*h = -0*h + 4, 3*h = 15. Is l not equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/1512 and -127\/12?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*m + 374*m**2 - 378*m**2 - 329*m - 83*m.\nAnswer: -4*m**2 - 508*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 735043*p**2 - 8 + p - 13 - 735045*p**2 + p**3. Determine a(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(3888) + 5)*-4 - -3*(-4 + sqrt(3888)*6 - sqrt(3888) - sqrt(3888)))**2.\nAnswer: -18432*sqrt(3) + 249856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5970471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1562 + -1556. Calculate the lowest common multiple of 125 and v.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854065.5 millilitres in litres?\nAnswer: 854.0655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.074 times -14.1\nAnswer: 1.0434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 239 + -138. Let a = g - 79. What is the remainder when 107 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 5*u + 135 = 90*o - 94*o, -75 = 5*u - 4*o for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1395 = -50*p - 866 + 411 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 18 = -13*s - 4*s, -420 + 427 = -3*s - 4*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 6:40 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(81\/18 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25410 - 144?\nAnswer: -25554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6742962796?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 - 2214*j - 2448306.\nAnswer: -(j + 2142)*(j + 2286)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/10)\/((-330)\/(-50) - 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + sqrt(95) + -2*sqrt(95) - sqrt(95))*-5)\/((sqrt(150)\/sqrt(3))\/sqrt(10)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4. Let h be f*(0 + 2)\/(-2). Suppose -2*j - 4*i + 10 = 0, h = -0*j - 5*j + i + 14. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9736)\/65718)\/((-4)\/1917)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 3)*274\/42. Let l = -1651\/105 + z. Calculate the common denominator of -43\/10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44233234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 22. Let f be (-1)\/(-2)*(w - 5). Suppose f = -0*y - y - 3*q + 3, 3*y - 49 = q. Solve 2*c + 2 = u - 5, 0 = -5*u + y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5030*c + 5027*c - 123 = 0, -c - 39 = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*sqrt(208) + 4 - ((sqrt(208)*-1)**2 + -4))*-2*3 + -5.\nAnswer: -7205 - 576*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1313652536 - 4?\nAnswer: -1313652543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j**3 - 8695*j**2 - 407719*j + 66447927 = 0.\nAnswer: -1027\/5, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -65, -118, -177, -236?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17431*s - 1221 = 17468*s for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*w + 12. What is the remainder when 9 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + -72. Suppose f + 0*f - 155 = 0. Let u = c + f. Calculate the highest common divisor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - -9) + -12 - 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.07 and 11.8.\nAnswer: 71.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2836 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3701 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + -27 + (56 - 68 - -26) - -54.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6)*((-260)\/(-55) - -1). Let k be 5\/3*(2 + 1). Which is smaller: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 4*v + 34 + 67, -v = 5*y - 157. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 4*a + 17, -2347*h + 2343*h + 68 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -653*s - 48 = -j - 654*s, 0 = 4*j + 36*s - 38*s + 72 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 5*z + 125. What is the tens digit of a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6.141673 millennia?\nAnswer: 61.41673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2201 divided by -2201.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 44\/242*(-165)\/(-10). Solve -4*d = -58*g + 61*g + 35, -y*g = d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123 + 122.961. What is the smallest value in p, 4, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263 (base 12) to base 8.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-4)\/(-18)*-3. Suppose s*j + 2*j - 24 = 0. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 31*t + 240. Let b(z) = z**3 + 12*z**2 - 11*z + 13. Let w be b(-13). Let i be k(w). Solve i*h + 2 = 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, i: 5, x: 3, l: 4}. What is prob of sequence iif?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**5\/60 - 17*g**4\/24 - g**3\/6 - 74*g**2 - 2. What is v(12)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.95562 to 2 dps.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48607492 greater than 48607492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 2*o + 0*o)*(-126*o**2 + o + 57*o**2 + 55*o**2).\nAnswer: -28*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1082037 and 5643.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*i + 23, 30 = 5*z - 5*i - 15. Solve -54*m = -58*m - z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 179.1 - 172. Let m = w - 8. Round m to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 20. Which is the third smallest value? (a) -0.6 (b) p (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 228 = -d, 18 = 3*d + 9. Calculate the remainder when w is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + z + 0*z)*(-3*z + 2*z + 0*z) - 2*z**2 - z + z + z**2 - 1 + 1 - 2 + 2 - z**2 + 38*z - 24*z + 2 + 2*z**2 - 19*z as m + x*z + c*z**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 14065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 5*m - 2. Let l be r(-6). Suppose -4*p + l = -68. Suppose -2*q - q + p = 0. Calculate the least common multiple of 8 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 5316*u**2 - 3367602*u + 221625720.\nAnswer: -2*(u - 60)*(u + 1359)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 3*g + 2. Let r be c(-2). Suppose 2*d - 4 = -r*d. Let t(o) = 2*o**2 - 3*o + 1. Let l be t(d). Solve -b - 21 = 5*m - 3*b, 3*m + l = -2*b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z + 16*z = -70*z + 1638 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 329*b - 104*b - 92*b - 118*b - 17*b**2 as d + v*b + r*b**2 and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 606 and 12.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 11) to base 10\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -2*l + 10, -117 = -3*l + 2*c - 110 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 512788364?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**3 - 2*g**3 - 3*g**3 + (g**2 - 5*g**2 - g**2)*(2*g - 6*g + 3*g).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a factor of 182988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 4. Determine m so that -m**2 + j*m + 5*m**2 - 4*m + 2*m**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + sqrt(1300) + 0 + sqrt(1300))**2*6 - (2 + ((5*sqrt(1300)*1 - sqrt(1300))**2 - ((1*sqrt(1300))**2 + 0))).\nAnswer: 1680*sqrt(13) + 11992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 11208*m - 33653. Let q be w(3). Let d(g) = 6*g. Let h be 43\/3 - (-2)\/(-6). Let o = -24 + h. Let x(t) = -t. Determine o*x(i) + q*d(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 3*n - 3, -11*n = -3*u - 14*n + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -100, -174, -248, -316, -372, -410?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2635499.64854+0.087\nAnswer: 2635499.73554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 5*t + 149 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7794.608ng?\nAnswer: 0.000000007794608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*sqrt(2448)*1 - sqrt(2448))**2 - sqrt(2448) - (sqrt(2448) - 4*1*sqrt(2448))).\nAnswer: 72*sqrt(17) + 7344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 240276*p + 240288. Give i(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**2 + 3*k - 1. Suppose -13 = 3*h + j, 2*h - 3*h - 5*j = -19. Let c(g) be the first derivative of g**2\/2 + 8*g - 3. Let z be c(h). Calculate w(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + 44\/(-8))*2*-1. Suppose 0 = o*a - p - 17, -4*p = -4*a - 0*p + 28. Solve 4*h = a*h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(128))**2 + 4.\nAnswer: 83\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 - -25. Let s be (-6)\/(-18) + (-76)\/(-6). Let k = s + -3. Calculate the greatest common divisor of w and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34737.\nAnswer: 3, 11579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*k + 39 = 159 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -3\/20*c**5 - 3*c + 0 + 1\/3*c**3 + 1\/4*c**4 + 3\/2*c**2. Is v(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/((-6)\/(-24)*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 11*k + 80. Let f = 7 + 1. Let w = k - f. Solve -w*x = 4 - 12, 5*g + 2*x = 33 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -73964 (b) 938 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-10) - 22104\/(-45) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 1895*z - 56188. Determine x(29).\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**4\/3 + 70*c**3\/3 - 4244*c**2\/3 + 18752*c\/3 + 48960 = 0.\nAnswer: -68, -4, 10, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -220010?\nAnswer: -220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 1. Calculate q(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxxxwxxwwwwwxwwxwxx. What is prob of sequence wx?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m + 26*m - 9*m - 9*m + 5*m. Let g(l) = 4*l + 25. Calculate g(o(u)).\nAnswer: 8*u + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(152)*1 - -5*sqrt(152)*1)\/(-4*sqrt(32)*1).\nAnswer: -7*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -7*x + 125 - 41, -p + 8*x = -3*x + 186 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 27*j + 849. List the prime factors of y(0).\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**2 + 54655448*b - 109310912 = 0.\nAnswer: -13663864, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*q = 6. Let d be 16\/(-5) + (-4)\/5. Let u = -3 - d. Solve t - u = q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*y + 4, -64*y + 7 = -61*y + d. Which is the nearest to 0.3? (a) -2 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-7) - 30\/42. Let i(n) = n**3 + 2*n**2 + 2*n + 1. Let d be i(q). Factor -2\/5*v**4 + 2\/5*v**2 + 2\/5*v**3 + d*v - 2\/5*v**5 + 0.\nAnswer: -2*v**2*(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 313 + 321 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40488*g**4 - 10918?\nAnswer: -161952*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrrrj. Give prob of picking 1 z, 1 r, and 1 j.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33\/5 of a day?\nAnswer: 9504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(v**2 + v**2 - 3*v**2) + 3 - v**2 - 3 + 0*v**2 - v**2 + 0*v**2 - 7*v**2 - 16*v**2 + 8*v**2.\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 6. Let x be p(2). Solve -5 = -3*v - 2*v - x*i, 0 = -3*i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11, -3, 1 in increasing order.\nAnswer: -11, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/17, 0.5, 0?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2. Let v = 12 - 9. Let h(d) = 45*d**2 - 7*d. Let r(k) = -22*k**2 + 3*k. Let i(c) = v*h(c) + 7*r(c). What is s(i(a))?\nAnswer: -361*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/8)*n*n*n**(-1\/7))**(-50)\/((n*n**(-1)*n)**21)**(-2\/3) assuming n is positive.\nAnswer: n**(-2033\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o = -230. Let j be -36*(5 - (-34)\/(-6)). Suppose -2*h = -h - j. What is the remainder when o is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.059189? (a) 5 (b) -5 (c) -0.11 (d) 5\/6 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 9:32 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 201304 (base 13) in base 12?\nAnswer: 2bb37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20333023 (base 4) in base 15?\nAnswer: ad91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.27 + -25.73. Let b = a - -25.9978. Let f = b - 0.004. What is f rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1332 - -444244?\nAnswer: 1001131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 36. What is the nearest to l in 0, -2\/29, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/((-110)\/33) - -2420 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a - 35 = 2*a + 27. What is the biggest value in -0.292, 1, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -533, -1128, -1943?\nAnswer: -2978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3418*c = 3413*c - 21, -f - 4*c = 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n + 33. Suppose -61 - 39 = -10*y. Let b be j(y). Let g = 715 + -719. Sort g, -22, b in decreasing order.\nAnswer: b, g, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -175.4248 (b) 8 (c) 1\/10 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 111100?\nAnswer: -111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/180 and -11\/97245.\nAnswer: 388980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (189 - 175) + 1 + 2 + 1 + -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -79 + 21. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(4) + -4 + (sqrt(128)*-1)**2 - (-3 + sqrt(98) - (sqrt(2) + 5 + sqrt(98))).\nAnswer: 2*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7488 - 7371. Calculate the highest common divisor of 42471 and f.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + 1*((-1 - -2) + -2). What is the nearest to 2 in 9, c, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 740 divide 1665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -723 + 728. Let w be 5\/7*18\/(-15). What is the second biggest value in w, v, 0.1, -1\/10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 4, 26, 66, 130, 224, 354?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**4 + 25*m**3 + 12823*m**2 + 3216868*m wrt m?\nAnswer: 24*m**2 + 150*m + 25646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = -4*a. Find the common denominator of ((-1)\/(-10) - 1134\/90)*68\/2720 and 2\/12*37\/a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -920, -5, -3, 5 in increasing order.\nAnswer: -920, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 72300869 and 1.14.\nAnswer: 72300870.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -930 - 3*y + 460 + 462. What is s(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 9292433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93 - 28. Which is the biggest value? (a) 0.5 (b) q (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.53 + -5.8. Let t = j - 0.56. Is t > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + a + 2. Let j(u) = -u**3 + u**2 + 1. Suppose -4*p - 14 = 5*y, -4*y + p - 3 = -4*p. Let q(m) = y*j(m) + v(m). Factor q(z).\nAnswer: z*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (25 + -16) - -10 - (-45 + -6)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d - 219164 + 0*d + 219164 + 0*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(2\/(-4)) + 400\/40. Let b(q) = -8. Let x(d) = -d - 1. Determine f*x(p) - b(p).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 28 = 4*o, -4*o = -9*o - 3*u - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 171.9979 + 2.9321. Let u = 351.78 + p. Let w = -523 + u. What is w rounded to one dp?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.1474 + -4.6387. What is g rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*z - 632 - 3353 + 1828 = 3947 for z.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + i + 70, 10*t = 5*t + 5*i + 90. Solve 3*q + q + t = 3*z, 4*z - 5*q = 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1296 divided by -6.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*h**2 - 750*a**3*h - a**2*h**2 + 3*a*h + 1909031*h**2 + 341 wrt h?\nAnswer: 2*a**3 - 2*a**2 + 3818062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 not equal to 66.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95 + 97. Let g(z) = -z**2 + 4. Let u be g(0). Suppose -u = v*f - f. Which is greater: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 45*p - 26. Let o(k) be the first derivative of 23*k**2\/2 - 13*k + 11. Let t(s) = -3*m(s) + 5*o(s). What is the first derivative of t(f) wrt f?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - -0.8. Let p = -99.7 + 95.59. Let y = p + 0.11. What is the smallest value in t, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -10*m - 16. Let i(g) = -23*g - 33. Let s(h) = -3*i(h) + 7*z(h). Suppose 1 - 7 = u. Let w be s(u). Is w > -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -771 - -408. Let o be -364 + 3\/1 + -3. Which is greater: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**4\/24 + 7*q**3\/6 - 3*q**2. Let t be s(7). Solve 5*m - t = 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2618758?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2227 - 1971. Solve c = 4*w + 8, 0 = -5*c + 4*w - k + 248 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 a factor of 7190987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 57 from 3.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*d - 21*d. Which is the nearest to d? (a) -1 (b) 0 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three fifths of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-260)\/(-585))\/(404\/303*-2*(-34)\/8)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*u + 2)*(0 + 0 + 4)*(0 + 1 - 3).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -7\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4 - 14 + 2015*t**3 - 2014*t**3 + 8*t + 4*t - 9*t**2. Calculate f(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11537051.\nAnswer: 2129, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15153807.\nAnswer: 3, 5051269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**4 + i**3\/6 + i + 162. Calculate y(-2).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 7) in base 6?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 52552032?\nAnswer: 52552036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(125) - (-2*sqrt(125) + 0 + sqrt(125))**2 - ((sqrt(125) - (-1 + sqrt(125))) + 5 - sqrt(125))) + 3.\nAnswer: -390 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1178 and -79\/6?\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 3*y - 4. Let g(v) = 23*v + 7. Let a(c) = -7*c - 2. Let l(o) = 14*a(o) + 4*g(o). Calculate l(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110*v**2 - 47*v**2 - 42*v**2 to r*v + b*v**2 + j and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**4\/12 - 17*w**3\/6 + 3*w**2 + 26*w. Let o be x(19). Let t = 48 - o. Put -2, t, 3, 1 in decreasing order.\nAnswer: t, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7\/(k*k*(k*k*k**(-1\/4)*k*k)\/k))\/((k*k**(6\/7))\/k**(-1\/7)) assuming k is positive.\nAnswer: k**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -114216\/515 or -221?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 4. Let p be b(0). Let c(x) = -2*x**3 + 14*x**2 + 2*x - 9. Let n be c(7). Sort p, n, -5 in descending order.\nAnswer: n, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.023, 935, 18.\nAnswer: -0.023, 18, 935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d + 868 = 8*d. Find the common denominator of -30 + d - (-334)\/24 and (-4)\/6 - 183\/99.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1083116 and 368.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-57)\/(-12) - 0) + 3\/12. Suppose 138*w + 96 = 146*w. Let h(c) = -c**2 + 10*c - 3. Let a be h(6). Solve -3*o - o = -p*b - a, -4*b + w = 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/513)\/((-6)\/(-189))*140\/49?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -119\/3 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 12*z**5\/5 + z**4\/2 - 19*z - 102. What is the first derivative of k(t) wrt t?\nAnswer: 48*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11000 - 2111101020?\nAnswer: -2111020020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 11) to base 8\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14097, -14065, -14015, -13947, -13861?\n\"Answer: 9*i**2 + 5*i - 14111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 + 5 + 1)*(-3297*c - 2 + 3266*c - 2) in the form i + q*c and give i.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14, -54, -126, -236, -390, -594, -854?\n\"Answer: -f**3 - 10*f**2 - 3*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 145*o - 2350. What is u(16)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 0.4313, 0.1 in ascending order.\nAnswer: -22, 0.1, 0.4313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 510*v**2 + 510*v**2 + 3*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1312)\/(-2232))\/(-82))\/(2\/(-18)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -186 - -461. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 13*c**2 + 323*c - 31. What is d(-23)?\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2615 and -10.7.\nAnswer: 27980.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/36, -175, 2, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 138*j - 22*j**2 - 20*j - 129*j in the form g + w*j**2 + n*j and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 252 = 12. Calculate the remainder when 31 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 410 + -267. Suppose -f - 6 = -19. Calculate the highest common divisor of f and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = 4*t, 4*l + t = -0*t + 21. Let h = -81 + 158. Suppose -l = 3*b - h. What is the greatest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, -61, 4, 19, 0.3, -50, -9?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (2\/2 + 0). Suppose -541*c + 515*c = 0. Solve c = -3*l + v*j - 24, 4*j = -j + 25 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 138030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81852978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 11*t - 200. Let r be j(19). Let o(w) = w**3 - 9*w**2 - 4*w + 12. Calculate o(r).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4863266 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3244977*r**2 + 716*r + 313 wrt r?\nAnswer: 6489954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/63756 and -65\/13524?\nAnswer: 446292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97737.\nAnswer: 3, 32579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -21*o**3 + 2*o - 1. Let p be w(1). Let b = p - -17. Is 72 + (b + -3)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12816 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 2215.\nAnswer: 11075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, 7, 0.3, 2\/17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**10*c)\/c*c\/(c\/(c**(-5)\/c)))**16*((c**(1\/9)\/c)\/(c*c**(-2\/3)))\/(c*c*c**1*(c*c\/(c**(-3\/7)*c)*c)\/c) assuming c is positive.\nAnswer: c**(3676\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (1*12)\/(-2). What is the remainder when (-4)\/10 - (-785)\/25 is divided by (-6)\/27*-24*k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.126753 rounded to three dps?\nAnswer: -0.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6307125 (base 8) to base 2.\nAnswer: 110011000111001010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g + 10. Let x be z(-7). Let a(k) be the first derivative of 3*k**2 - k + 9028. What is a(x)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3414 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 4*v + 438 = 455, -4*c = v + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -36 (c) 3 (d) 0 (e) -478 (f) 0.04 (g) -0.02\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 5*p**2 - 2*p + 8. Let j be h(-4). Let w(o) be the second derivative of 1\/6*o**3 + 1\/2*o**2 + j - 2*o. Differentiate w(v) with respect to v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -4*h - 6*n - 4, h + 4*n = -1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 634920 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 9*r**2 - 8*r + 6. Let c be q(-8). Let l(m) = 6*m + m**3 - c*m + 5*m**2. Let f be l(-5). Is f equal to 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 22. What is the highest common divisor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -179 - -69. Let m = -63 - y. Find the second derivative of -40*h + 3*h**5 + 3*h**5 + m*h wrt h.\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 0)*(-1)\/4. Let f be 9\/3 - 3\/1. Is f at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*a + 17 + 33, -5*r + 42 = -3*a. Suppose r = 3*k - 3. Factor -441*h**k + 40 - 23 - 84*h**2 + 177*h + 37 - 6*h.\nAnswer: -3*(3*h - 2)*(7*h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 6:44 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**4\/4 - 10*a**3\/3 + a**2\/2 - 7*a - 5. Let v be x(10). Suppose 8*i + 3*j - 37 = v*i, 5*i - 43 = 3*j. Are i and 9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*v + 17, -a + 17 = 4*v + 4. Which is bigger: -0.5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -9*a. Let o(x) = 5*x. Let w(d) = 6*f(d) + 11*o(d). Let p = -10 - -7. Let q(k) = 6*k. Let t(y) = -5*y. Let l(i) = p*q(i) - 4*t(i). What is w(l(s))?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -39 + 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/17 - 104*f**2\/17 - 1800*f\/17 - 10368\/17.\nAnswer: -2*(f + 16)*(f + 18)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blu when three letters picked without replacement from {f: 2, b: 1, u: 1, l: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1273)\/(-469) + (-4)\/(-14). Which is the nearest to -2? (a) -2\/7 (b) -4 (c) u (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 5 = -4*q. Let b be (2 + q)*(-2)\/(-6). Is 9 a factor of ((-11)\/b)\/(1\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.03881 kilograms to grams.\nAnswer: 73038.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-36)\/(w*w\/(w\/(w**(-25)*w))*w*w))\/(((w\/w**(1\/16))\/w)\/(w\/(w*w\/w**(16\/7)))) assuming w is positive.\nAnswer: w**(-1529\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17143366.66 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05316 and 16758292146.\nAnswer: 16758292146.05316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + c + 2 - 4*c**2 + c + 5*c**2 to q*c + a + s*c**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -16 - 0. Let v be (g\/(-48))\/(1\/(-2)). Let r = 2 - 3. Which is bigger: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/18*3)\/((-1)\/3). Suppose -4*k + 4*f = -8, -f + 3*f = 4*k - q. Suppose 4 = -4*s, g - 2*s - 68 + 23 = k. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20135.451 rounded to the nearest ten?\nAnswer: 20140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 10 = -0*o. Let a = -7 + o. What is the remainder when 11 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(720) + 1.\nAnswer: -4 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4104919463?\nAnswer: 29, 83, 1705409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*j - 9, -2*y + y + 1 = 0. What is the common denominator of 1\/j - (0 - 5) and 7\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 5:01 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2636.6 - -1941385626\nAnswer: 1941382989.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -219641077, -219641084, -219641103, -219641140, -219641201, -219641292, -219641419?\n\"Answer: -z**3 - 219641076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -46.8. Let b = n - 2.7. Suppose -6 = 3*v - 0. What is the second biggest value in b, 2, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 10 + 18 - 44 + 16.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 363?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 + 70. Suppose d = 2*o - 2*h, 2*o - h + 2 = -0*h. What is the fourth biggest value in 0.1, 2\/11, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*d + 13*d - 58. Suppose 9 = 3*p - 6. Let t(c) = -6*c + p*c - 13*c - d*c. Let z(s) = s. Give z(t(a)).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349936 is divided by 642.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 + 69. Suppose -325 = -l + s*h, 4*h = -l + h + 349. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1637*c**2 - 3275*c**2 + 1638*c**2 + 16*c**3.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 100\/219481?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**3 + 2*x**2. Let d(f) = -17*f**3 + 9*f**2 + f. Let h(r) = -8*r**3 + 2*r**2 - 1. Let w be h(-1). Calculate w*t(a) - 2*d(a).\nAnswer: -2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 135*p - 2556. Let l be f(19). Let h(y) = -y + 3. Give h(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 460807 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**3\/3 + 4*a**2 + 6*a - 4. Let x be r(-8). Let f be 2*1 - (-28)\/1. What is the greatest common factor of f and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -72*c**2 - 14*c + 16. Let y be m(6). Let l be (y\/21)\/((-3)\/((-126)\/(-4))). What is l rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3 - 9 + 18 + d**2 + 12 + 4*d. Let b be x(6). Suppose 28 = -8*q + b. Calculate the remainder when 33 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 13*l - 316 = 306, -15*k + 11*k - 6*l + 282 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21749.6 and 0.2.\nAnswer: -21749.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 5*v + 35, 2*k + 97 = v + 87 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6104053*k**2 - 9505366 with respect to k.\nAnswer: 12208106*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/24 - 1591\/1032.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1232, 1210, 1180, 1148, 1120, 1102, 1100, 1120?\nAnswer: 1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 o, and 1 d when three letters picked without replacement from nwwwwnwwwhdkdnknokok.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19.59 equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(-5)*79\/4 and 159\/(-9)*12\/16?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 7) in base 4?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.92219.\nAnswer: -0.92219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(18) - sqrt(325)*-2)**2.\nAnswer: 12493\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -14*a - 44. List the prime factors of h(-12).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = z - 168. Let c be (3\/(-4))\/((-3)\/36). Let t = 18 - c. Calculate the remainder when z is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91\/440 - -1\/40. Let i(g) = g + 3. Let m be i(5). Let x = -9 + m. Which is bigger: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8*539 - (19 - 26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -436*p**4 + 4242288*p**3 + 153068032*p**2 + 1376774208*p - 25313472 = 0.\nAnswer: -18, 2\/109, 9766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12\/125 (b) -17 (c) 3 (d) 272\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-11)\/5)\/(4\/10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/o**27)\/o**22)**(-3))**11)**(-9\/10) assuming o is positive.\nAnswer: o**(-7128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5633 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -16, -0.5, 6\/11, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -69 (b) 0 (c) 1\/3 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-3 - -4 - 3)) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601079?\nAnswer: 601079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -0.4 (b) 5\/2 (c) 2\/13 (d) 0.1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 + (3 - 10) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/11 - (-65)\/(-1144)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 12:57 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -33c9?\nAnswer: -33cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/3*3\/(-4). Let c(f) = -4*f + 7. Is c(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + b + 18 = 0, 0 = 5*f + 4*b + 4 - 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1066860257.\nAnswer: 31, 37, 911, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -1 - 3*(1 + sqrt(3))**2 - (sqrt(54)\/sqrt(32))\/sqrt(9))*2 + 1.\nAnswer: -25 + 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21011 (b) -3 (c) 2\/3 (d) -0.3 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 10:37 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/s**0*s*s)\/s)**(-2))**(2\/11)\/((s**(4\/3)\/s)\/((s**3\/s)\/s))**15 assuming s is positive.\nAnswer: s**(98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 15*c - 270. Determine k(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100\/3 - -2003\/60. Let x(h) be the third derivative of -j*h**5 + 0*h - 4*h**2 - 1\/2*h**3 + 0 + 0*h**4. Differentiate x(y) with respect to y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 536893 + -537005.2868. Let h = -0.1132 + v. Let n = 188 + h. What is n rounded to 0 dps?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 3 = 2*p. Let r be (-63)\/(-12) - (-1)\/(-4). Suppose -31 + 11 = -r*m. Calculate the remainder when p is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 9*z - 3*g + 233 = 0, -181 = -4*z + 3*g. Calculate the lowest common multiple of 10 and z.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001250195 rounded to 5 dps?\nAnswer: 0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249288613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 27.989. Let t = p + -0.681. Round t to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 17*j + 99. Determine c(-12).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/23))**(-3\/14) assuming k is positive.\nAnswer: k**(-3\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8309 in 48, 2, 5?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170 divided by -5?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.026 - 1.974. Which is the smallest value? (a) -5 (b) 0.4 (c) 5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -39. Put -0.5, -0.2, v in ascending order.\nAnswer: -0.5, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8433\/(-4685)*((-3)\/2)\/((-3)\/(-20))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13675 - 13487. What is the remainder when 562 is divided by r?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, r: 5, v: 8}. Give prob of picking 3 v and 1 x.\nAnswer: 392\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -5*c - 2*g, c - 17 = 5*g. Suppose -c*l = t + 3*l - 59, 10 = 5*l. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - (-2 - 1))\/1. Let y(q) be the first derivative of 0 - 2*q**3 + 3 + 5 - c*q**3. Let m(b) = b. Give m(y(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3570 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1080, 2540, 4 in ascending order.\nAnswer: 4, 1080, 2540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 2*x - 31*x. Find the third derivative of -9*c**x - 11*c**2 - 90*c**4 - c**3 + c**2 wrt c.\nAnswer: -2160*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 455853 + -0.3\nAnswer: 455852.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 984 and 77684?\nAnswer: 19110264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/6 and -71\/12466?\nAnswer: 37398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 11*w. Let z(t) = -31224*t**2 - t - 2. Calculate z(h(p)).\nAnswer: -3778104*p**2 - 11*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14839955 a multiple of 1923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**24)**22 assuming a is positive.\nAnswer: a**528","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luanj. What is prob of sequence nla?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -673 + 1002. Suppose h*x - 333*x = 28. Which is smaller: x or -22\/3?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*m - m = -6, 0 = -4*m. Let y(h) = 47 + 8*h**s - 17 - 30. Let i(o) = -8*o**2. Determine i(y(d)).\nAnswer: -512*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 292 + -288. Suppose j*u = 2*u, a + 5*u = 260. Calculate the remainder when a is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3959540 and 3492.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17635975 to the power of 1\/2, to the nearest integer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0*q - 4*g + 35, -g = q - 11. Let w(l) = -2*l - q*l + 6*l + 0*l. Let d = -15 - -11. Let x(p) = p. Calculate d*w(t) - 18*x(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubuttuu. Give prob of sequence ub.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164934 and 14994.\nAnswer: 164934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176 + -362 + 188 + (-24 - 1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.7 + -21. Let l = t - 1.712. Round l to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111912 (base 11) in base 2?\nAnswer: 101011011111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205289 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2978 by 456.\nAnswer: -1489\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/2 of a litre in millilitres?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*(sqrt(119) + -2*sqrt(119) - sqrt(119))*-1)\/((sqrt(448) + (1*sqrt(448) - sqrt(448)) + sqrt(7))*-6) + -4)**2.\nAnswer: -16*sqrt(17)\/3 + 212\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + p - 2*p = -9, -9 = q + 3*p. Let v = q - -10. Solve -2*z - v = -5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**4\/12 - 4*q**3\/3 - 2*q**2 - 2*q. Let j be (-4)\/(40\/18)*-5. What is the units digit of o(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48\/120*(-1 - (-66)\/51). Let a*y**3 - 26\/17*y**2 - 58\/17*y - 30\/17 = 0. What is y?\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 3*x + 6*x)*(-x + 0 + 0)*(-4 + 7 + 2).\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/14*(13 + (0 - -2)) + 1606\/803?\nAnswer: 13\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 1. Let p be z(-1). Let x = p + 4. Let l(v) = 12*v**3 + 6 - x - 3. Give l(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (5 + -4 + 0 - 0) + 11\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1. Let f(w) = 2*w - 2. Let y(c) = -c + 1. Let d(h) = f(h) + y(h). Let v(g) = -d(g) - 4*m(g). Differentiate v(n) wrt n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*i = 12. Let l be (-2)\/(-3) + (-4)\/i. Let q(z) = -2*z + 11. What is the tens digit of q(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 4315 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 21621929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54463 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24097903.\nAnswer: 2063, 11681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3. Let r(y) = 2*y**3 - 3*y - 2. Let l(g) = r(g) + t(g). Let u(p) = -1319*p - 1321. Let d be u(-1). Calculate l(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 148112\/(-34) - (3 - (4 - 3)). Let z = r - -4357. Find the common denominator of z and 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 918 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24466588987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 5\/15)*102\/4. Suppose -17 = -3*b + 5*t + 11, t + 2 = 0. Suppose 34 = b*f - 5*f. Calculate the highest common divisor of d and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255 (base 13) in base 12?\nAnswer: -2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 84*z**2 - 60*z - 37. Let u(k) = 28*k. Calculate s(u(o)).\nAnswer: 65856*o**2 - 1680*o - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*u + 2. What is the common denominator of (135\/(-10))\/(u + -8) and -2*(-53)\/40*-2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 951179923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2377.41 to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18816 - -18830. Let c = 716 - 494. Calculate the remainder when c is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5 + 18*y**4 - 16*y**3 - 18*y**2 + 17*y.\nAnswer: -y*(y - 17)*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 5, -k - 1 = -2*q + 3*q. Let z(y) = -4*y - 8*y + k*y + 13*y. Let x(p) = -5*p. What is z(x(d))?\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**2 + 106*t + 44. Is x(-6) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 58\/5, -8\/9, 13?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -4\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20184641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a hour in seconds?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2))**(-6\/13))**(-24)\/((r*r**(3\/5)*r*(r\/(r\/r**6))\/r*r*r*r)\/(r**1*r*(r\/(r*r**(-3\/4))*r)\/r*r)) assuming r is positive.\nAnswer: r**(-341\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 + -8. Let h = b - 83. Let n = h - -31.5. Which is smaller: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y + 12*y**2 + 13*y - y + 38 - 11*y**2.\nAnswer: y**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 830.18 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 36044225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuzumzumzuumzzm. Give prob of sequence mzmz.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 12?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.220413 to the nearest integer.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/3, 0.3, 30.5, 10.176?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.53 in -4\/9, 2, -12?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 2, v: 4, i: 1}. What is prob of sequence vr?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.1, -0.428, -2.26?\nAnswer: -2.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z**4 - z**4 + 8*z**4)*(6 - 2 + 0) - 3*z**4 - 1 + 2*z**4 + 3 to the form y*z**2 + a*z**4 + w*z + m*z**3 + d and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-4) - 3\/12. Is l bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42301.46l in millilitres?\nAnswer: 42301460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4 = 2*x. Let d be (-8)\/2*(-3)\/(-8). Let n = -235 + 234.7. Which is the third smallest value? (a) d (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791204611 to the power of 1\/2, to the nearest integer?\nAnswer: 28128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 68807273999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 20*m = -5*m - 81 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2085 and 1404138.\nAnswer: 975875910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*h + 223438 = 130*h. What are the prime factors of h?\nAnswer: 2, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200938175 + 1392?\nAnswer: 200939567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -27.772 times -29\nAnswer: 805.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 3. Let v be u(-3). Suppose -2*l = -v*l + 2. Let n = -2 - -3. What is the greatest common factor of l and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -39. Suppose h = -7*i + 372 - 99. Calculate the greatest common divisor of 975 and i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(4 + (-14)\/4). Is (-2)\/(-4) + 21\/f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4449991747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-25) + 126\/35\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 7*w - 2. Give g(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11011866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 393088 divided by 664.\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33023*p**2 - 57*p + 4150447 wrt p.\nAnswer: -66046*p - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*a*h**2*i**3 + 23*a*h**2*i*m + 48*a*h**2 - a*h*i**3 + 11*a - h*i**2*m + 4*h*i**2 - 50*i**3 + 2*m wrt h?\nAnswer: 102*a*i**3 + 46*a*i*m + 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6 - 2*a**3 - 5.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 666.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*l - 18 = 135*l. Suppose -2*r + l = 5*u, 6 - 1 = u + 5*r. Put 4, 8, 2, u in descending order.\nAnswer: 8, 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001754186 rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -78 (b) -137483 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/84*-7*(-480)\/262680?\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 2*t**2 + 3. Suppose -2*x + 9 = x. Let d be m(x). Let z(y) = 8*y**2 - 5*y - 2. Let s(h) = -7*h**2 + 4*h + 2. What is d*s(f) - 5*z(f)?\nAnswer: 2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v**2 + v + 20. Let t(u) = -7*u**2 + 19. Let s(w) = 5*d(w) - 6*t(w). Calculate the remainder when s(4) is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -240 and 542.2608319.\nAnswer: 302.2608319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 906 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-4))\/(135 - (-343334)\/(-2544))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1145 by 108.\nAnswer: -1145\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2 - 16*g + 21. Let n(d) = d**2 + 5*d - 7. Let j(y) = -6*l(y) - 17*n(y). Calculate j(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 221577186 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1464654 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*1*4 - sqrt(102)) + -4*((sqrt(102) - 5*sqrt(102)) + sqrt(102)))\/((sqrt(96) + (sqrt(96) - 2*3*sqrt(96)) - sqrt(96))*-1).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2. Let m(x) = -258*x + 69*x - 6 + 66*x + 62*x + 65*x. What is m(v(k))?\nAnswer: 16*k**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 40*s**2 - 414*s - 764. Determine a(12).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28*(-9)\/72*(-6)\/(-56)*2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 0 - 15. What is the remainder when -3 - f\/((-6)\/44) is divided by (-45)\/(-6)*(-12)\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1124 - 1106. Solve 15*d = t*d + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 11:34 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-3100)\/((-744)\/(-12)))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3529, 6957, 10383, 13807, 17229, 20649, 24067?\nAnswer: 27483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 + -599 + (3 - -38)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1944*p - 120335. Determine f(62).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 3, 17, 0.11, -17\/3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-1045))\/((-588)\/231) - (-2)\/(-38)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 42\/19, 2\/5, 1\/8 in descending order.\nAnswer: 42\/19, 2\/5, 1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 20. Calculate the remainder when q is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320443034 (base 6) to base 8.\nAnswer: 25377136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -288 + -103. Let o = n - -574. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 3*c + 218 = 9*q, -3*q = 8*c - 3*c - 158 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((6*6*(sqrt(272) - (2*sqrt(272) - sqrt(272))))**2 - ((-1 + sqrt(272))*2 + -5)**2).\nAnswer: -1141 + 112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(76)\/(sqrt(8)\/(sqrt(4)\/sqrt(2))).\nAnswer: -3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 5*x - 46. Let t = 1 + -2. Let b = t - x. Solve b = -4*s + 3*o - 19, 0 = -s - 3*o - o + 19 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11281 is divided by 2814?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from {z: 1, u: 2, m: 1, f: 1, r: 1, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 8*r - 65*r + 3168. What is the remainder when 1679 is divided by r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/36)\/(((-33)\/(-11))\/(-9))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -26\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -13.1. Sort -5, 1, y in descending order.\nAnswer: 1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2910292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-21)\/(-7))\/((-3)\/(-2)). Let o(y) be the first derivative of y - n - 1\/2*y**2. What is o(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 12*v**2 - 17*v - 30. Let f be o(10). Let q be ((-6)\/(-16) + 0)*2. Which is the closest to q? (a) f (b) 1\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-586500)\/(-14076)*(-12)\/(-50).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + 10 - (2 - 2). Let i = -11 - -21. Let l = -6 + i. Solve l = -2*v + n*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9))\/((-2)\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -555449, -555450, -555451?\n\"Answer: -g - 555448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + -0.5. Let g = s - -5. Let q = 125 + -124. What is the closest to -0.1 in 0, q, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, q: 9}. Give prob of sequence qquu.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012747511 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -10*z**3\/3 + 7*z**2 + 4*z. Let m(x) = -4*x + 1. Let t be m(-4). Let f(c) = -7*c + 5. Give t*f(k) - 6*n(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5769 is divided by 89?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (52\/286 - 2997\/(-33))\/(-40) and -29\/112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -5*g**8\/336 - g**4\/24 - g**2. What is the second derivative of v(o) wrt o?\nAnswer: -100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*p + 5431 = 866 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {v: 5, e: 13}?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + sqrt(275)*-1 + 1 + (sqrt(275) - (sqrt(275) - (1 + sqrt(275) - sqrt(275))*-1)) + sqrt(275))**2 + 1 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.331 + -0.031. Let j = -1.07 + -0.93. Let o = h + j. Put -0.2, 0.5, o in ascending order.\nAnswer: -0.2, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2490284924 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-5*-4*2*sqrt(136)*-6)\/(sqrt(40)\/(sqrt(5)*2) - -4*sqrt(40)\/sqrt(5)))**2.\nAnswer: 435200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*u + 0 - 3 = 0, 0 = -2*z - 2*u + 12. Solve -14 = f + 5*t, -3*t - 3 = -z*f + 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119893 to the power of 1\/2, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, j: 4, r: 2, c: 1, n: 4}. What is prob of sequence jr?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/5)\/(7 - 66\/10). Suppose -5*k = -4*f + 115, -62 = 5*k + z*f + 18. Which is smaller: k or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8870.823ml to litres.\nAnswer: 8.870823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 = b + 16, -210 = 5*b + 3*r. Let j(c) = 4*c + 2. Let m be j(8). Let v = b + m. Let f(s) = 5*s - 1. Let d(i) = 6*i - 2. Give v*f(q) + 4*d(q).\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -10*w**3 + 3*w**2 - 13*w - 28. Let s be v(-5). Calculate the greatest common divisor of 12 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 4 + 6. Let b(f) = 2*f**2 + 4*f + 2. What are the prime factors of b(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 3*c + 23. Let g be b(6). What is the nearest to 0.1 in g, -1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 4:24 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/6*(-12)\/(-8). Suppose 0 = -y - p*y + 10. Find the first derivative of -7*d**3 - 6 + 15*d**3 - y*d**3 wrt d.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 5*j + 64. Suppose 0 = j*k + 14*r - 11*r - 2097, 3*r + 1683 = 4*k. What is the highest common factor of 252 and k?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*r**2 + 2 - 8 + 7)*(1 - 4*r - 1).\nAnswer: 88*r**3 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-60))\/(1*3\/(-2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2163511413?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 531013*o + 868217 with respect to o.\nAnswer: 531013","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (11 - 5) - -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-1\/11)*p**(-16\/5) assuming p is positive.\nAnswer: p**(-116\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/125 and -29\/95.\nAnswer: 2375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-134)\/(-3) - (-2)\/(-3). Suppose m = -o + 113. Suppose -3*t + l + 69 = 2*l, -3*t + 4*l + o = 0. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 44 - 11. Solve -4*w + 6 = 5*z + 1, 3*z = -4*w + k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -38*m - 323. Calculate s(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*z - 1310181, z + 4419*x - 4423*x = 655083. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 285\/30*(-104)\/52.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/32 + (-3)\/(-4). Let i(g) = 7*g**2 - 62*g - 4. Let p be i(9). Solve p*b - a + 7 = 0, 2*b + d*b = -5*a - 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 5*s**2 + 3*s + 17. Give h(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*f + 2 = -16, 4*s + 5*f + 38 = 0. Let g be (s\/4 + 2)*7. What are the prime factors of (g\/(-14))\/(1\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-55)*1*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyefbefefeefelfe. Give prob of picking 1 b, 1 e, 1 f, and 1 y.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -0.080095.\nAnswer: 0.380095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*o - 475*o - 3*c = 17, 295 = 73*o - c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -442 + -1?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 1. Suppose 0 = -j - 3*f + 2, 0 = f + 2*f + 6. Let p be x(j). Let n = 10 - p. Which is the third smallest value? (a) -3 (b) 0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9144 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 + 2 + -7078 + 6962.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 10. Let s be u(-8). What are the prime factors of s\/3*(-408)\/16?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/837 or 13\/4?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1200111102201 (base 3) to base 6\nAnswer: 31105544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 40 = -0*c + p, 5*c = p + 107. Suppose -5*x + 94 = -c. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - 5*k + 5. Calculate t(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 6. Let f = 33 - 23. Let b be z(f). Suppose 0 = -5*p + b*p + 20. Calculate the highest common factor of 30 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213183518?\nAnswer: 2, 41, 673, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2813*t**3 + t**2 - 3*t + 2. Is r(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1699 is divided by 583.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s. Let v(u) be the third derivative of u**5\/20 + 4*u**2. Give a(v(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-42836)\/(-226))\/((-36)\/1). Let w = u - 127\/113. What is the common denominator of w and -93\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s**3 - 5*s**3 - 19*s + 9 - 9 to u*s + a + q*s**3 + w*s**2 and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*o**2 - 54*o?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 7 (b) -6\/11 (c) -2\/7 (d) -175 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 - 4*h**2 - 1. Let x be 2 + (2 - 0)*1. Let j(p) = -p**3 + p**2. Let q = 146 - 145. Determine q*f(t) + x*j(t).\nAnswer: -2*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -13292 < -13294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2703.7 - -2704. Suppose -14 = 5*p - 2*l, 3 = -p - 3*l + 7. Let o be (p\/10)\/((-12)\/(-45)). Which is the nearest to z? (a) 0.3 (b) o (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + 83?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 163772 or 163770?\nAnswer: 163770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**7\/5040 - h**6\/180 - h**5\/20 + 2*h**2. Let c(l) be the third derivative of u(l). Calculate c(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojo when three letters picked without replacement from {j: 3, o: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 23*s**8\/56 + s**4\/4 - 6*s. Find the third derivative of m(q) wrt q.\nAnswer: 2760*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -9, 5, -18, -4 in decreasing order.\nAnswer: 5, -1, -4, -5, -9, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -19a0?\nAnswer: 1995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 (base 14) in base 11?\nAnswer: -36a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 + 1 = 0. Let r be (-4)\/10 + b\/10. Suppose 2*m + 5*a = -r*m + 36, -5*a = 4*m - 52. Solve k + k = -m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1584676*m - 1652. Let y be l(2). What is y rounded to the nearest 10000?\nAnswer: 3170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 255675 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18733 by -11.\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, v: 6, i: 1, u: 4, x: 2}. Give prob of sequence vd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*u + 8792 = 0, 4*u = 20*z - 24*z + 8828. What are the prime factors of z?\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/8)\/((-427)\/21865816).\nAnswer: 37, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/8)\/y*y\/(y\/y**6*y)*(y**(-7)\/y)\/(y**(-16)*y*y))**(2\/15) assuming y is positive.\nAnswer: y**(83\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 123\/4 (b) -3 (c) 7 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -30. Let k(p) = p**3 + 4*p**2 - p - 2. What is the remainder when k(-3) is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/10*108\/81.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(120) + sqrt(120) + -1*sqrt(120)*2 + sqrt(120))\/(3*(sqrt(36) + sqrt(4))))\/(-6*-4*-1*(sqrt(54) - sqrt(6))).\nAnswer: -sqrt(5)\/576 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -12604509205.8587.\nAnswer: 12604509205.5587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 64, 116, 188, 280?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64412817 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1135\/57 + -790\/19. Calculate the common denominator of (34\/30)\/((-52)\/10) and m.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (750\/80)\/((-6535)\/20912).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.6589186 nanograms?\nAnswer: 0.0000006589186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 57\/821?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/36 and 21\/33352.\nAnswer: 300168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -35*s - 40. Let l(g) = 34*g + 39. Let m(n) = -5*l(n) - 4*t(n). Let o(a) = -5*a - 6. Let j be (1000\/1500)\/(1\/(-105)*2). Calculate j*o(y) + 6*m(y).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10098330 divided by 14223\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/66 and -3 + 2 - 605\/90.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3409 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311739332?\nAnswer: 2, 23, 3388471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435869423.\nAnswer: 11, 39624493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**3 + 4*d**2 + 3*d - 9. Let i(g) = -7*g**3 - 7*g**2 - 5*g + 18. Let u(o) = -3*i(o) - 5*j(o). Determine u(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*z**3 + 39369*z**2 - 39369*z**2 - z - 156*z**3.\nAnswer: -176*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*s**4 + 2*s**2 + 0*s - 23 + 0*s**4 - s**4 + 3*s + 29*s**4 as a*s**2 + y*s**4 + x*s + q*s**3 + m and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.642414l in millilitres?\nAnswer: 4642.414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 308812217 to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibmmbiii. Give prob of sequence mbim.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 5)\/(12\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + sqrt(133)*-3)*2 + sqrt(133))\/(sqrt(49)\/sqrt(448)).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 404*-25930\nAnswer: -10475720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(3*u + 4*u - 5*u) - 3*u + 5*u - u - 5*u + 2 + 0 - 4.\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 797 = -799. Suppose 0*w - 7*w = -h. Let i = w - 27. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5073388 and 35330?\nAnswer: 25366940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 5*y**2 - 1\/4*y**4 + 8\/3*y**3 + 0 + 0*y. Let w(f) = -2 + 2*f + 1 - 4. Give -5*s(z) - 16*w(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/84*9\/2 and 2\/(-4) - (-134)\/(-12).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 2. Suppose 18 + 27 = 5*y. Let d(s) be the first derivative of -2 - 5\/2*s**2 - y*s. Give 2*d(h) + 9*g(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + i - 64. Let a be u(-9). Solve -2*w + 4*h - 2 = 0, -11*w - h - 17 = -a*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-2)\/3*(-90)\/48.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*z + 4 = q + 65*z, 2*q - 12 = 2*z. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + k - 9. Is 7 a factor of j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/32, 2\/5, 5, 0.0108, -3 in decreasing order.\nAnswer: 5, 2\/5, 1\/32, 0.0108, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117342003 by 3.\nAnswer: 39114001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1037 - 1032. Which is the fourth biggest value? (a) 0.13 (b) g (c) -3 (d) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141 + 50 + 39)*((1 - 4 + 1)*(-5 + 0 + 0) - 1 - 1 + 0 + 0 + 4 - 3)*(-10 + 10 + f**3).\nAnswer: -468*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8217275 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 15*s**2. Let b be k(-1). Suppose -3*n = 3*r - b, 3*n - 14 = -r - n. Find the common denominator of -1 + 6\/(-21) + r and 109\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*(-3*(sqrt(320) + sqrt(320) + -1 - sqrt(320)) + 3 + 1*sqrt(320)))**2.\nAnswer: -19200*sqrt(5) + 131600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1200713, -1200633, -1200539, -1200425, -1200285, -1200113, -1199903, -1199649?\n\"Answer: o**3 + o**2 + 70*o - 1200785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 426*b. What are the prime factors of g(1)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 89*w**2 + 337*w - 86. Let o be v(-85). Is 174 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 8*y**2 - 43 + 77*y - 30 - 62*y. What is the remainder when 280 is divided by x(8)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Suppose -4*x = -j*b + 14, -b + x + 4*x + 4 = 0. Let t be -2*(-1*2 + 0). Put t, b, 2 in increasing order.\nAnswer: 2, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*i**4 - 114*i**2 - 1592.\nAnswer: -68*i**3 - 228*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**3 + 3*a**2 - a. Let q(z) = -z**3 + z**2 - z. Let j(k) = -3*l(k) + 3*q(k). What is the third derivative of j(c) wrt c?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2330220 + -1?\nAnswer: 2330214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 13*y - 6. Let s be l(2). Calculate the greatest common divisor of s and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w - 34*w = -3*o + 73, 0 = -o + 5*w + 21. Solve -o*d + 21*d = -25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -46. Suppose -v = 1, j = -c*v - 8509 + 3172. Let z = -3290 - j. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 24*m**2. Let d(r) = 17*r. Give d(j(a)).\nAnswer: 408*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 154? (a) -12\/13 (b) -33 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/105*54\/(-14580)*-189?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, k: 2}. Give prob of picking 1 k and 2 x.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 48*t**3*u**2 - 179526*t**3*u - 456830*u**2 + 8 wrt t?\nAnswer: 144*t**2*u**2 - 538578*t**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -459 - -881. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -3736 + 3732, -4*g - y = 60 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 3*a**7\/35 + 11*a**4\/8 - 31*a**2. Find the second derivative of n(j) wrt j.\nAnswer: 216*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/9*(-73)\/146. Solve 2\/3*m**2 + r*m**3 + 0 + 4\/9*m = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -633, -980, -1337, -1710, -2105?\n\"Answer: -z**3 + z**2 - 343*z - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 392 and 84?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**4 - 4*v**4 + 2*v**4)*((v + 0 + 0)*(-2 + 2 - 1) - 3*v - v + 5*v + (2*v - 5*v + v)*(0 - 1 + 2)).\nAnswer: 10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10\/9, 3, -11, 7.\nAnswer: -11, -2, -10\/9, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 2. Let u(f) = -7*f**2 + 11*f - 49. Let z(h) = -3*s(h) - u(h). Is z(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -65, -99, -133, -167, -201, -235?\n\"Answer: -34*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 411 + 224. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.9920418 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0.042.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-5)*(-30)\/12. Let v(l) be the third derivative of 8*l**h + 7\/108*l**4 + 0 - 1\/135*l**5 - 1\/9*l**3 + 0*l. Suppose v(f) = 0. Calculate f.\nAnswer: 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90539241?\nAnswer: 3, 13, 2321519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -118*r + 480 - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-468)\/(-945) + 3\/(60\/(-8))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p + 84. Let r be j(-8). What is the highest common factor of 36 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -10*l**2 - 293*l - 1154. Determine d(-4).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 560216 and 24.\nAnswer: 1680648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13587599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 92212520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Let y(a) = 20*a - 26*a - 9*a + 102*a + 75*a. Calculate h(y(n)).\nAnswer: -162*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.784 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - i = 16, 2*s + i + 2*i - 29 = 0. Suppose 9*f + 12 = -49*y + 54*y, -5*y = -4*f + 3. What is the second biggest value in -0.03, s, f?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2496) + 3*sqrt(2496) + sqrt(351)\/(sqrt(9) - (sqrt(9) + -2*sqrt(9))))\/(-1*sqrt(300)*6).\nAnswer: -13*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 68.3 and -0.7.\nAnswer: -47.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 53841426 and 744.6.\nAnswer: 53842170.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from geggzgz. Give prob of sequence gzz.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48542084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/19 bigger than -46\/453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven halves of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -3 - 1 - -2. Suppose i = y*i. Suppose i = t + 4 - 0. Sort 0, 5, t in increasing order.\nAnswer: t, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/57)\/((-24450)\/(-1718835))?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 569495769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -373 + -10. Let m = 382 + t. Is -1\/11 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -793691426, -793691428, -793691430, -793691432, -793691434, -793691436?\nAnswer: -793691438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*u - 5129 = -5051. Solve 37 = -u*i + 27 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*c**2)*(256 - 135 - 131) as s*c**2 + j*c + d and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4.5. Let d = 84486 - 84486. Let p = 0.1 - 0. Put d, g, -4, p in decreasing order.\nAnswer: g, p, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + -26 + (64 - 40)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1539, 6083, 13663, 24285, 37955, 54679, 74463, 97313?\n\"Answer: p**3 + 1512*p**2 + p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*m + 1. Let z = m + -6. Let v be (-4)\/6 + (-17)\/z. What is the highest common divisor of v and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -3*r**6\/40 - r**4\/3 + 25*r**2. Find the second derivative of k(z) wrt z.\nAnswer: -54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-122)\/(1\/4*-2). Suppose 2*t = -i + 84, c - 41 = 2*i - 3*t. Suppose x = i + 35. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17394876 by 9.\nAnswer: 1932764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58302*q**3 - 19433*q**3 - 19403*q**3 - 19427*q**3.\nAnswer: 39*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 24*l**2. Let z(y) = 7 - 10 + 3 + 3*y + 4*y. Give s(z(q)).\nAnswer: 1176*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41184.8771 + -41191.67710054. Let o = q + 6.8. What is o rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 945, 946, 947, 948, 949?\nAnswer: 950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 2*g**2 + 7*g + 2. Let r be u(4). What is the highest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -9*z - 2099. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636 = 5*m + b + 619, 2*m - 5 = -b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4969 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*q - 7797 + 7951 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7546.588 milligrams?\nAnswer: 7.546588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854448.\nAnswer: 2, 3, 7, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5852 is divided by 875?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-15)\/(-110))\/(6\/166) and (3 - 6) + (-22)\/(-32).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-36) - (-96)\/27. Which is greater: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/14*(-25)\/((-175)\/(-42))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, v: 5}. Give prob of picking 4 v.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 62*b - 13. Let l(t) = -58*t + 15. Calculate -2*l(c) - 3*n(c).\nAnswer: -70*c + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -36\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/43, -79625\/47, -0.4 in increasing order.\nAnswer: -79625\/47, -0.4, -3\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.01, 111, 1, -80?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:35 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s + 114*s - 783 = 101*s for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 45\/18*(-1)\/1*3600\/(-375)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28.6 - -29. Let u = 139.7 - 139.5. Sort u, 0, t, 6.\nAnswer: 0, u, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -290400 and -1.349.\nAnswer: 391749.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -25350103 (base 8) in base 4?\nAnswer: -111131001003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6371.5774 - 6371. Round f to 2 dps.\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4 - 7 - 3 + 3*q. Let s be d(4). Let k(h) = h + 6. Let x be k(0). Is x at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26820*h**3 + 13*h**2 + 201.\nAnswer: 160920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.035 and 188200.1.\nAnswer: 188200.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 961800 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -8*z**3 + 3*z**2 + 2*z. Let d be j(-5). Suppose -2*w - 43 = -d. Suppose -w = -7*y + 14. Calculate the highest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008802394 to 4 dps.\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1179*n - 5483*n = -21520 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*i + 24. Suppose i + 117 = 3*z. Find the third derivative of -z*v**6 - 2*v**5 + 41*v**6 + 2*v**5 - 15*v**2 wrt v.\nAnswer: -720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/6 + (-2948)\/(-24). Let h = u - -511. Is h\/5 + (-3)\/(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 - -143\/3. Let u be 3\/(6\/80)*30\/75. Suppose 25 - u = -3*f. Which is the nearest to -0.1? (a) 0.1 (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 940 and 105045?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**4\/24 + 2*p**3\/3 - 7*p**2. What is the remainder when 30 is divided by f(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/6*27\/(-12)*-2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000269532385 rounded to 6 dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -12*n - 57. Let t be p(-5). Find the third derivative of 27*w**t + 0*w**3 + 47 - 47 - 17*w**2 wrt w.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41310042 to the power of 1\/2, to the nearest integer?\nAnswer: 6427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 285 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -37*g. Let z = -1 - -5. Suppose -19 = -a + z*v, -v - 1 = -3*a + 1. Is x(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l. Let i(k) = -3*k + k**2 + 3*k + 2*k**2. Give i(b(t)).\nAnswer: 75*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -17. Suppose 0 = 4*n + p - 250, -r*p + 119 + 133 = 4*n. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 4*g - 4 = 0, -162*g + 62 = 16*h - 348*g + 187*g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100101110011 (base 2) to base 13.\nAnswer: 6904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.366 and -0.1?\nAnswer: 0.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 10\/121, 0, -2, 5, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/42 + 148\/28. Suppose 194 = o*i + 9. Suppose -102 + i = -5*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5395.946ml?\nAnswer: 5.395946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - a = 5*s - 35, s = -5*a - 11. Suppose 3*m + s*f + 49 = 2*m, -4*m - f - 121 = 0. Let r = 66 + m. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -302420*k**2*y**2 - k**2*y - 55325*k*y - 3*k + 3*y wrt y?\nAnswer: -604840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22100 - -1000413?\nAnswer: 1023013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 + i**2 + 5*i - 6. Let m be o(2). Let x(u) = u**2 + 11*u + 26. What is the least common multiple of x(m) and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 504816*0.07\nAnswer: 35337.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 223\/(-24) + 60508\/6483?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 8) to base 3\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*j - 26, 2*h + 3*h + j - 10 = 0. Suppose -3*v + 1835 = 5*p, -36*p - v = -32*p - 1475. Let m = p - 367. Solve 0 = m*q + h + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6457*z - 11871. Determine o(2).\nAnswer: 1043","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 26, 20, 10, -4, -22, -44?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 5*w + 2*w)*(26 + 17 + 94)*(10*w + 2 + 33 - 8*w).\nAnswer: -274*w**2 - 4795*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f - 3226*f**2 + 5*f + 3207*f**2.\nAnswer: -19*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d**4 - 39*d**3 - 147*d**2 + 219*d - 45 = 0. What is d?\nAnswer: -3, 1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*c + 5*u, -29*u + 26*u - 9 = 0. Suppose 810 = c*v - 1065. Factor -1875\/4 - 225\/2*t**2 + 15*t**3 + v*t - 3\/4*t**4.\nAnswer: -3*(t - 5)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5645 - -5653. Suppose -3*f = 3*y + 63, 0 = -f + 3*y - 1. Let c be f*(0 - 9\/2). What is the highest common divisor of c and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - -5) - (6 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 302104122 (base 5) to base 13\nAnswer: 33339a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 6 = -4*o. Suppose 0 = -p + 4*t - 5 - 1, 4*p = -5*t - 3. Let f = p + o. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and -1.8.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**3 + 467*k**2 - 3703*k wrt k?\nAnswer: -12*k + 934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) -16\/13 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c + 6*c**3 - c - 18 - 201*c**2 + 25 + 225*c**2 + 65 wrt c?\nAnswer: 36*c + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*1*4*5)\/((sqrt(30) - (sqrt(1080) - -2*sqrt(1080) - sqrt(30)))\/sqrt(6)).\nAnswer: -5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*u - 56799 = 214*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 <= -954\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/1)\/(8 + (-18 - -8)). Let j(b) = -5*b**2 + b - 1. Let n be j(1). What is the third biggest value in n, 5, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 2910?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*(1*sqrt(77)*4 + sqrt(77) + sqrt(77)))\/(-3*((sqrt(70) + sqrt(70)*1)\/sqrt(10) + sqrt(126)\/sqrt(2))).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 2:54 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88024.00070859 + 88024. What is i rounded to 5 dps?\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31591452 and 456.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56020009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -153699255 + -0.4?\nAnswer: -153699255.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/127, -0.06, 3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(2272 - 60*d - 150*d - 2255).\nAnswer: 420*d - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 - 17*a**2 - 7*a - 6. Let i be h(9). Suppose -5*g = -33 - i. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138880 and 480?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/80)\/(12\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2770442 divided by -458?\nAnswer: 6049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -10 (c) -1 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -942 equal to -943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -166 + 12c0?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-782 - 790 - 801 + 2399)*(5*z**4 - 5*z**4 + 3*z**4) to the form a*z + h + v*z**3 + o*z**4 + t*z**2 and give o.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 147938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, r: 8}. Give prob of picking 3 r.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.149 + 1.991. Let l = -0.14 + c. Let i = 1.8 - l. Which is smaller: i or -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-225)\/50)\/(3429\/41910)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/5*(-190)\/(-76).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 637667 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 91871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*t + 4 = 0, 2*k + 4 = t + 3. Let a be (1*63)\/(-3) + k. Let h = 48 + a. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.93 (b) -2\/13 (c) -0.1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34496 and 2470776?\nAnswer: 19766208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -h - 2*q, -2 = -3*h - 2*q + 1. Let f(d) = 3*d**2 + 2*d - 1. What is f(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1107 + 41*n - 902 - 40*n + 831 to the form x*n + t and give t.\nAnswer: -1178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/2063484 and -16\/9.\nAnswer: 2063484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 12*y + 0 + 2 - 15. Let p(n) = -n**2 - 11*n - 12. Let h(r) = -6*p(r) + 5*w(r). Determine h(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 16) in base 4?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14911, -29821, -44731, -59641?\nAnswer: -74551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -4.7. What is the closest to 0.5 in 2\/5, 0, 5, m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24480 is divided by 348?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -237, -458, -661, -840, -989?\nAnswer: -1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00167 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.824 - -2.05. Let k = c + -0.23. Round k to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/8 and 49\/1416414.\nAnswer: 5665656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c - c - 3 + 1 + 4*c. Let h be r(2). Calculate the greatest common divisor of 20 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 26*r - 16375. What is r rounded to the nearest 10?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1343448 + 1343448 + 3157*l to v + n*l and give n.\nAnswer: 3157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 5*y + 6. Let x be f(-4). Suppose -4*l = -s - 0 - 17, 2*s + x = 0. Calculate the highest common divisor of l and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09012 + 3\nAnswer: 3.09012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -143.431 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*s - 87*s + 906 + 370 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -7. Calculate the remainder when 3\/(-3*(-9)\/756) is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33221141 + 1?\nAnswer: -33221140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 1:11 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (5\/6)\/(28\/168)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 348111*k**5 - 1722579*k**2?\nAnswer: 20886660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-5 - (-4 + 5)) - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 smaller than 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/21 + (-4)\/(-14). Suppose 0 = -p*a - 4*a + 2*m + 2, -18 = 4*a + 2*m. Let n be (32\/4)\/a - -7. Put n, 0.2, -4 in decreasing order.\nAnswer: n, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 0*d**4 + 3\/2*d**3 + 0*d**5 + 0*d + 1\/10*d**6 + 0 - 2*d**2. Differentiate a(o) wrt o.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3330612\/17 greater than -195918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 27 = -5*v - 3*w, 0 = -3*v - 5*w + 20. Suppose 0 = -3*x - 5*n - 6, 0*n + 21 = v*x - 2*n. Is -5 + -1 + 1760 + x*1 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 6156 and 10513308.\nAnswer: 283859316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1679262 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3092 = 11*d + 1013. Calculate the least common multiple of 231 and d.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -10. Let u = -391 + 761. Suppose 8*o - u = 3*o. What is the remainder when o is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 55*l + 458. Let t be c(-45). Solve 2*s + 16 = 4*u + t, -3*u = 3*s + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*h**5 + 16377*h**4 + 12*h**2 - 2*h + 186 wrt h.\nAnswer: 1560*h**2 + 393048*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2.1765 * -12\nAnswer: 26.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -27. Find y such that -t - 9*y + 3*y**2 + 4 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-14))\/(1088\/(-13328))*(-96)\/(-14)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -125*u**3 - 16070825*u**2 + 6428345*u - 642835 = 0.\nAnswer: -128567, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -140 - -126.3. Let z = 17.7 + l. Is 10 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x + 29. Let u(a) = 5*a - 59. Let r(p) = -7*h(p) - 4*u(p). Let q be r(-18). Which is smaller: 16 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -53, -65, -61, -35?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s**2 - 2*s - 1. Let t(d) = -46*d**2 - 5128*d + 3302456. Let j(v) = 6*q(v) + t(v). Factor j(o).\nAnswer: 2*(o - 1285)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8529831l to millilitres.\nAnswer: 852.9831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9270 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 53566, 53534, 53478, 53398?\n\"Answer: -12*h**2 + 4*h + 53574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.075 - 13561852689470.\nAnswer: -13561852689469.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21\/2 - -55\/6. Let x be (32\/6)\/((-3)\/27). Calculate the common denominator of q and (-2)\/(-8) - (-796)\/x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/559746 and -39\/29355568.\nAnswer: 264200112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -10*c**2 + 8*c + 12. Let z(v) = v**2 - v - 1. Suppose 0*y + 3*y - 66 = 0. Let k(f) = y*z(f) + 2*r(f). What is the units digit of k(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 317*a - 10 + 9 + 1 to the form x*a + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeq. Give prob of sequence qa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from rrnnnnmnmnnn.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f - 2478 - 372 = 0. Let w = f - -251. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*(sqrt(275) - (sqrt(275) + -1))*5*6 + -3.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (148\/(-24) - -6)*(-6)\/(-4). Which is the closest to -1? (a) 3 (b) 22\/15 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 17*p. Suppose 4*t + 64 + 4 = 0. Let m be j(t). Solve k + 0*k + 5 = 0, -5*a + 5*k = m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/4521 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5, 0 = -2*d + 5*w - 24 - 9. Is d <= -108\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 + 194?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2508.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25051, 25038, 25025?\nAnswer: 25012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*y - 169 = -589, -z + y + 97 = 0. Calculate the remainder when 230 is divided by z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*g**3 + 2)*(0 - 2*g + 0) + (-2*g + 2*g + g**2)*(0*g**2 - 3*g**2 + 5*g**2) - 3*g**4 + 0*g**2 + 0*g**2 + 3*g**4 + g**4 - 2*g**4.\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*c - 2 = -7, -2*c - 14 = -2*y. Is 3 a factor of ((-66)\/24)\/((-1)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18315 = 10*i + 155*i. Suppose -5*a - 49 - 191 = 0. Let m = i + a. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(15\/(-2) + 5). Let p be 6\/(-14)*8\/(-6). Is z < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577445?\nAnswer: 5, 11, 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 73? (a) 22 (b) -0.3 (c) -0.7 (d) 0.016\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 3:52 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -12634034.\nAnswer: 5\/12634034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 494, 547, 628, 731, 850, 979, 1112, 1243?\nAnswer: 1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**(3\/2)\/v*v)\/v)*v)\/(v\/v**(2\/45)*v) assuming v is positive.\nAnswer: v**(-41\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000602360044 rounded to seven decimal places?\nAnswer: -0.0006024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -65, -132, -199?\n\"Answer: -67*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119 - -125. Calculate the smallest common multiple of 70 and p.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -46*d**4 + 5*d**3 + 5*d**2 + 15*d + 2155. Let b(y) = -23*y**4 + 3*y**3 + 3*y**2 + 9*y + 1078. Let n(m) = -5*b(m) + 3*v(m). Differentiate n(f) wrt f.\nAnswer: -92*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 5:00 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 + 0*k**2 + k**2 - 2 + 0 to the form f*k**2 + t*k + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 6034488.\nAnswer: 18103464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 0.453.\nAnswer: 0.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/(((d\/d**(-1))\/d)\/d)))\/(d\/(d\/d**(2\/73)))*d**(15\/4)*(d\/(d**(-6)*d))\/d assuming d is positive.\nAnswer: d**(2255\/292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**3 - 8*s**2 + 81*s + 84. Calculate b(7).\nAnswer: 1631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 19.9874. Let b = a + 3.0426. Let h = b + -0.03. Put h, -2, 2 in decreasing order.\nAnswer: h, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 226*v**2 + 30914*v + 215. What is u(-96)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 7*m**5\/60 - 4*m**3\/3 + 7*m**2. Differentiate d(q) wrt q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5195.604nm in centimeters?\nAnswer: 0.0005195604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 286.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3509672 meters to millimeters.\nAnswer: 350.9672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -42, -120, -280, -552, -966, -1552?\nAnswer: -2340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.5 + -9. Suppose -2*q - r - 33 = 0, 3*q + 66 = 7*r - 3*r. Let d be 3*(-1 - q\/21). Put -3, l, d in decreasing order.\nAnswer: l, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82677 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4831541ml?\nAnswer: 0.0004831541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -9 - (4 + -8 + 31)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/4 - 357\/12. Let q be (-1)\/2 - 39\/a. Let p(n) = -n - 5. Let k be p(-7). Are q and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/18)\/((-3)\/(-9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/5 in -5, -3\/8, -1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442968509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 5*l + 2*u - 1, -2*u - 9*u = -2*l + 117 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 381 = 3*f, 0*m + 625 = 5*f + 3*m. Let y be (1 + (-2)\/4)*f. Find the first derivative of y - d**4 - 56 - 4*d**3 + 4*d**3 wrt d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(-4*(-2)\/(-48)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/2*1)\/(18\/24). Let p(h) = 4*h**3 + 16*h**2 + 12*h + 13. Let u(r) = -1 + 6 - 1 - 4*r - 8 - 5*r**2 - r**3. Let x(k) = -2*p(k) - 7*u(k). What is x(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3813\/(-21607) - ((-369)\/68)\/1?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31 + -86?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12133 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*c + 7. Let d be (c\/18)\/(2\/(-12)). Let p be (-16)\/(-6) + 6\/(-9). What is the highest common factor of d and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -106, -394, -866, -1522, -2362, -3386, -4594?\n\"Answer: -92*g**2 - 12*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by -4?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in five quarters of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220225 and 26795.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -8*o**3 - o**2 - 10*o + 8. Let l(h) = 8*h**3 + 2*h**2 + 15*h - 12. Let d(y) = 3*f(y) + 2*l(y). Let s(k) = -2*k**3. Give -2*d(w) + 10*s(w).\nAnswer: -4*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j - 3*j)*((1 + 0 + 1)*(-3*j + 3*j + 2*j) + 330 - 330 - 35*j) + 5*j**2 - j**2 - 2*j**2.\nAnswer: 64*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 68*k**2 - 7\/6*k**4 - 3\/5*k**6 + 8\/105*k**7 + 0*k**3 + 0 + 1\/84*k**8 + 4\/3*k**5 + 0*k. Factor f(p).\nAnswer: 4*p*(p - 1)**3*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 5*x**2 + 4*x - 7. Let f(p) = -p**2 - 13*p - 6. Let b be f(-12). Give a(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owwwpppppwpwpwppo. What is prob of sequence wp?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -329299.\nAnswer: -15\/329299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 12, -2*x - 3*x - 189*m + 668 + 145 = 8*m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3539913.\nAnswer: 3, 13, 139, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 7*i + 3. Let u(p) = p**2 - 2. Let s be u(i). Suppose -s*n = -0*n - 791. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 e when four letters picked without replacement from {x: 2, n: 1, v: 1, e: 11, d: 1}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3 + 7. Let v = -73 - -154. Let g = h + v. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-70)\/105)\/((-4)\/67638) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -60.7. Let c = 1.8 - q. Let r = c - 7.5. Sort -0.4, 0.1, r, 1\/2.\nAnswer: -0.4, 0.1, 1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13 and 19?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**8\/420 - t**5\/30 + t**3\/3 + 1. Let s(i) be the third derivative of b(i). Find the second derivative of s(p) wrt p.\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50282045231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r - r**2)*(-2 - 1 + 5) - 21*r**2 - 15*r**2 - 11*r**2 - 5*r**2 + 5*r**2 - 7*r + 4*r**2.\nAnswer: -45*r**2 - 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2933 is divided by 795?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 65212 divided by -143?\nAnswer: -65212\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4) + (-21)\/30 - (-6 + 13860\/2025)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -54?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43129 and 10948?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1035*f + 198. Let r be w(-5). Let v = -2084 + 10554. Let b = v + r. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + c. Let k(l) be the second derivative of -l**4\/12 - 197*l**2\/2 + 163*l. Let v(n) be the first derivative of k(n). Calculate g(v(a)).\nAnswer: -8*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 1:28 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 49*s = -450. Suppose 3*f + s = v - 5, -5*v - 2*f + 19 = 0. Solve 0 = m - 3*b - 7, 6 = 2*m - v*b + b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m*u**3 - 1022*m*u**2 - 5*m*u + 3*u**3 + u - 163 wrt u.\nAnswer: -12*m*u - 2044*m + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m**3 - 13*m**2 - 195*m + 203. Calculate w(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 10*n**2 - 11*n - 12. Let h be g(-9). Is (-7 - 381\/h)\/((-3)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*d + 1 + 5*d)*(0 + 0 - 2 + (-3 + 3 + 3)*(3 - 1 - 3))*(-2 + 0 - 2).\nAnswer: 40*d + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*1\/5*-5. Sort 5, z, 7, 3 in ascending order.\nAnswer: z, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/8*1\/(10\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 738 a factor of 4236858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -3 + 5 - 9 - 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117 - -149. Suppose -q*n = -23*n - 1242. Calculate the highest common factor of n and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23043234 (base 5) to base 3.\nAnswer: -101110200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojjojojjjjjoujjjmjoj. Give prob of picking 1 u and 2 j.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 615 (base 15) in base 16?\nAnswer: 55a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 86*32613\nAnswer: 2804718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 16558*s. Let f(r) = 55*r**2 + 43*r. Give f(k(n)).\nAnswer: 15079205020*n**2 + 711994*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*k = -3*q, -5*k = 4*q. Suppose t + 5*r - 33 = -q*t, 156 = 4*t - 4*r. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**4 - 6942*g**3 + 5*g**2 - 2*g + 453.\nAnswer: -24*g - 41652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.13 - -7.13. Let p = -5.000000133 + b. Round p to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2370 + 2514. What is the least common multiple of i and 126?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 29 + 1 = 0. Let h be (-2)\/z - (-38)\/14. Suppose -2*u - u + 107 = 5*r, -3*u = h. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 28*x - 36*x. Is -301*x\/(-2) + 11 + -8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/39 + (-680)\/26. Let d be s\/6 + 4 - 16502433\/360. Let f = d + 45838. Calculate the common denominator of f and -27\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-21)\/(-42) + 7*1191\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2, 46, 75, 0.3, 2 in descending order.\nAnswer: 75, 46, 2, 0.5, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f. Let b(h) = -3 + 9*h**2 + 3. Give b(x(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(((-16)\/(-48))\/((15\/(-9))\/(-5))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f + 4037 = 68181. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5076946?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.3739 micrometers in nanometers?\nAnswer: 117373.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**2 + 5*z. Let y(x) = 2*x**2 - 738. Calculate n(y(r)).\nAnswer: 20*r**4 - 14750*r**2 + 2719530","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from {b: 7, z: 12}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, u: 9, e: 3, z: 2, t: 1}. What is prob of picking 2 z and 1 t?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-41)\/95*6\/4. Let o = v + -20\/19. Find the common denominator of o and 89\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - 109 + 57 + 3*x**2 + 102 + 4*x**3 - x**3 to h + b*x**3 + a*x + u*x**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1063 - 1003. What is the highest common factor of h and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/9))**(-2\/33)\/(b**(-10)\/(b*b*b*b**(2\/9)*b)) assuming b is positive.\nAnswer: b**(4228\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**7\/84 + z**6\/120 + 7*z**3\/6 + 11*z**2. Let k(g) be the first derivative of n(g). Find the third derivative of k(u) wrt u.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 33*c + 993. Calculate f(-18).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/19)*(d*(d**(-3)*d)\/d)\/d*d*d*d)\/(((d*d*d\/(d*d\/d**7))\/d)\/d**(2\/15))*(d\/d**(-1\/2)*d*d)**(11\/4)*((d\/d**(-1\/2))\/d)**(4\/13) assuming d is positive.\nAnswer: d**(83197\/29640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.337 to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/3)\/l**1)\/((l*l**(-1\/3))\/l**(2\/19)))**42 assuming l is positive.\nAnswer: l**(-1512\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*v = 12 + 14, 3*n - 3*v - 33 = 0. Suppose 2*f - n = -3*f. What is the third derivative of f*l**2 + l**2 + l**5 - 4*l**2 wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1567*x**2 + 14 + 7 - 21 as p*x**2 + k + t*x and give p.\nAnswer: -1567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3313012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2748*d**3 - 395*d**3 - 733*d**3 + 1315*d**3 - 1832*d**3.\nAnswer: -4393*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3002024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 2*g + 2. Suppose -n + 2*w = -3, 2*n + 21*w = 23*w + 4. Let a(q) = q**3 - 12*q**2 + 17*q - 18. Let b(u) = n*a(u) + 4*o(u). Determine b(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -12*r - 7*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 27. Let v be 3\/12 - 14\/j. Suppose v*z + 15 = 5*r + 98, -3 = -r. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -2*s + 2*x, 0 = x - 29 + 24. Calculate the remainder when 204 is divided by s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h - 3 + 39. Let o = 50 - 9. What is the remainder when o is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9808719629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = h - 1131, -2*d + 4489 = 4*h + d. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 29320\nAnswer: 21\/29320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24*(-16)\/(-576))\/((-14)\/(-273)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 605 + 39a?\nAnswer: 9a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101850722 or 101850725?\nAnswer: 101850722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + 48 + r**3 + 48 - 105.\nAnswer: -r**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282956386?\nAnswer: 2, 141478193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 8*f**2 - 8*f - 3. Let i be d(-7). Let b be 6 + -5 - (0 - i). Solve k = -0*k + l - b, -2*l = 5*k - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g + 6. Suppose -464 = 5*o - 2*p - 154, -3*p = -o - 75. What is the least common multiple of (1*2)\/((-66)\/o + -1) and y(-2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, 4, -12 in descending order.\nAnswer: 10, 4, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4 + 5760006\/(-4). Round w to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64724729180 - -3587756463302002\/55431. Let j = v - 7\/2053. Let y = 15751\/30 - 2586\/5. Calculate the common denominator of j and y.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*l**4 - 1596*l**3 - 980*l**2 + 60 wrt l?\nAnswer: 744*l - 9576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/1215, 1\/5, -4, -2.4, -0.05, 2\/15, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 316, 1158, 2562, 4528, 7056, 10146, 13798?\nAnswer: 18012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63395880059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + 1)*2 + sqrt(833) + sqrt(833)*2 + 5)**2.\nAnswer: 490*sqrt(17) + 20874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 3 - (0 - 2) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1297 divide 573965672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9308, -9432, -9556, -9680, -9804?\nAnswer: -9928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1671?\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010010111111010 (base 2) to base 4.\nAnswer: -22113322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*b**2 - 31*b**2 + 9*b**2 + 199*b**4 - 412*b**4 wrt b?\nAnswer: -5112*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 36. Calculate the lowest common multiple of f and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 2 (b) -0.985 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-375)\/(-14000)*280*(-7)\/((-196)\/(-24))\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 - 2*p**3 - 2*p**3 + (3*p + 0*p - p)*(0*p**2 - p**2 - p**2) + 2*p**3 - 4*p**3 + p**3 + (-16*p**3 + 22*p**3 - 10*p**3)*(1 - 2 + 3).\nAnswer: -15*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-25))\/(4\/(-4)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 20 + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56\/(-6)*(-3)\/(-10). Let p = 12\/5 + f. Suppose 4*x - x + 1 = 2*h, 4*h - 6 = 2*x. What is the third biggest value in p, 5, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/30694380 and 16\/33?\nAnswer: 337638180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-2 + -7 - (2 - 16)) + -13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 >= -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from jjkjjkjjwjjjjjjjwjkj.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3659, 3665, 3671, 3677, 3683?\n\"Answer: 6*f + 3653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 3:44 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/99 and 85\/34983.\nAnswer: 384813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 8*y**2 + 166*y - 32. Calculate o(9).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 224 - 100 = 0. Let l be 1 - z\/(-1) - 4. What are the prime factors of (2 + (1 - l))\/(-2)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 181, 540, 1223, 2338, 3993?\nAnswer: 6296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -7*f. Suppose f = 5*c - 5*r - 115, 3*c + c - 88 = 5*r. Factor -14*g**3 + 5*g**3 - 2*g**2 + 3*g**4 - 3*g**3 + 36*g + c - 4*g**2.\nAnswer: 3*(g - 3)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-66)\/(-10)*((-4)\/4)\/(-3))\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 143 + -74. 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: In base 14, what is 31da - -c?\nAnswer: 3208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, u: 1, e: 2, f: 4}. What is prob of sequence euef?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a milligram in micrograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 0*a**3 + 1 + 3\/4*a**4 - a**2 + 0*a. Find the second derivative of s(g) wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 385 = w. Let i be 9\/(-21) + (-47)\/w. Let k = -2\/21 - -16\/21. What is the closest to 2\/7 in k, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 215120.9 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*c**5*s - c**5 - 2*c**3*s + 3*c**2*s - 27*c**2 + c wrt c?\nAnswer: 2580*c**2*s - 60*c**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/8 - -41\/56. Let g = 7 - 6.4. Let h = -0.3 + g. What is the second biggest value in -0.3, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + j - 1 = 10, 2*l + 5*j = 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h\/(h*h**12*h)*h)\/h)*h*h)\/(h*h**(-13)\/h)*((h**1*h)\/h)**(-21) assuming h is positive.\nAnswer: h**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9965 to two decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -12*w**4 + 6. Let o be (-7)\/14*(6 - 2). Let f(n) = 37*n**4 - 17. Let u(a) = o*f(a) - 7*t(a). Differentiate u(x) wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 67 - 63)*((f**4 + 2*f - 2*f)*(-2 - 1 + 1) + (2*f + 6*f + f)*(2 - 2 - 3*f**3)).\nAnswer: 3973*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**4 - 1382*v**3 + 1630*v**2?\nAnswer: -48*v - 8292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-60))\/(3\/(-6))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13334 + -2248. Calculate the remainder when r is divided by 168.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 2. Let r be l(4). Suppose -i + 5*o = -23, o - 7 = -i + 2*o. Suppose p = 2*f + 375, i*p = -2*p + r*f + 1891. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 5:31 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + y + 390 = 0. Let w(f) = f**2 + 19*f - 207. What is the lowest common multiple of y and w(-27)?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -31. Solve y = a + a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (126\/70)\/((-6)\/(-10)). What is the third biggest value in l, -32\/7, -0.5?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-3))\/(3\/(-54)). Is 5 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 - r + 18. Calculate c(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 + 1296\/6 + -5. Find i such that 9*i**2 - 6*i**2 + p*i + 301 + 3167 = 0.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (4482\/5)\/((-333)\/90 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 22221020220000200?\nAnswer: 22221020220000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.05 - -16. What is q rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 198 = 2*z, -5*q - z = -5*z - 1026. Calculate the remainder when 637 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**3 + 30*d**2 - 5*d - 99. Give h(-7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/18 + 77\/(-30) + 600\/375. What is the biggest value in y, -1\/6, -0.1, -14, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 12 = -4*k - 4*h, -4*k - 3*h = -16. Suppose k*u - 106 = -1. Calculate the highest common divisor of u and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-6 + 2 - 5)*(-2*c**2 - 2*c**2 + 5*c**2)*(-7 - 21*c + 7).\nAnswer: 189*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 86 - 4 = -j, 39 = 2*i + j. Let b = i + -7. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 3:57 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 5*f = 4*o + 435, -15 = 5*f. What is the greatest common factor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 996*y - 84. Let j be m(15). Let f be 2 - j\/36*(0 + -3). Round f to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24402230 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -119320780, -119320782, -119320784, -119320786?\n\"Answer: -2*t - 119320778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 351076 and 5437333?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15046297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 94.79156 millennia?\nAnswer: 1137498.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 317960 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.254448 times -1.6?\nAnswer: -8.4071168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 277 divided by -7752\nAnswer: -277\/7752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 56 = -v. Suppose -2*z + 52 = 7*j - 2*j, 0 = -3*j. Let w = z + -5. What is the greatest common factor of v and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 2:06 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 6 = 7*t. Is (38\/t)\/(2\/(-12)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -2\/7 (b) -0.3 (c) -1\/4 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 + 27*l**2 - 6*l - 493. Suppose -3*u + 166 = o, -u - o + 52 = o. What is the remainder when g(8) is divided by u?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikk when three letters picked without replacement from kiikiikiikiiikkk.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0868 minus -0.7?\nAnswer: 0.7868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1546*w - 1544*w = -6*k + 8, -2*w + 3*k = 19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 60*x**2 - 25*x - 2160. Determine h(61).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -182*a - 143*a - 17260 + 5235 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 4*a**2 + 6*a - 13. Let v be g(-11). Suppose 2*u - 1043 = -3*r, 5*r + 19*u = 18*u + v. What are the prime factors of r?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2. Let n be (-21 - (0 + 0))*8\/12. Let z = 16 + n. Let h(b) = -2*b + z*b + 16*b**2 - 6*b**2. Calculate l(h(v)).\nAnswer: 200*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -73, -60, -57, -70, -105, -168?\n\"Answer: -m**3 + m**2 + 17*m - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 32*l - 50. Let i be d(-16). Let t = -560 - i. Let b = 11 - 7. Solve -9 = 3*a, b*s + a = -t*a + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 197 + -76. Let a = u + -121. Are a and -2\/473 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((975\/715)\/(9\/99))\/((-2)\/2*1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (38\/(-190))\/((-1)\/190)*-2. Sort h, -5, 4, 2, -4.\nAnswer: h, -5, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -9. Let u = -11 + 10.81. Let w = 0.49 + u. Put -2, l, w in ascending order.\nAnswer: l, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 3*v = 7*v - v + 3*g - 29, 11*g + 22 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 3, -11687, -4, -5.\nAnswer: -11687, -5, -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 491634 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 262593220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1243, 2313, 3061, 3325, 2943, 1753, -407, -3699?\nAnswer: -8285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 240912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b + 2*b)*(-2 + 3 + 1)*(1 - 2 + 4) + 5*b + 2*b + 5*b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 6)\/((-4)\/3 - -2). Let p(z) = z**3 + 3*z**2 + 2*z + 2. Let f be p(q). Let l(h) = -h**2 - 4*h + 3. Calculate l(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5469 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/629 and -35\/333.\nAnswer: 5661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12033260 (base 7) to base 11.\nAnswer: 6698a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2\/2 + 100698*a - 201397\/2 = 0.\nAnswer: -201397, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l - 3. Suppose 5*q + 7 = -4*c - 6, q + 11 = 2*c. Let u(v) = -4 + 4 - v + 5. Let n be u(c). Give t(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 94*h + 1446. Determine r(-13).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189\/4 - 225\/4*g + 3\/4*g**5 - 33\/4*g**4 + 39\/2*g**2 + 39\/2*g**3 = 0. Calculate g.\nAnswer: -1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*a + 15, 2*q + 2*a = -2*a - 6. Let u(z) = -2*z - 3*z + 5*z - 2*z + 1. Let h be u(q). Solve 4*j = -2*t + 8, j = 2*t - 5*t + h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/22 and -63\/1720.\nAnswer: 18920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1050 + -715. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 314 - 190. What is the remainder when v is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**3 - 4*t**3 + 38*t - 5 - 5*t**4 - 74*t + 37*t in the form b + s*t**3 + r*t**2 + v*t + f*t**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22120 (base 11) in base 6?\nAnswer: 404315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253315736 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ythv when four letters picked without replacement from hygtv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1123032 (base 5) in base 10?\nAnswer: -20392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 69*i**2\/7 + 1321344*i\/7 - 114900\/7 = 0.\nAnswer: -19150, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 7*t**2 - 14*t - 6. Let u be y(-4). Let s(w) = 4*w. Let z be s(u). Let v be (-1006)\/z + 6\/(-24). Round v to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134493*b + 60525 = -135300*b for b.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0957 from -603.\nAnswer: -602.9043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 + -55. Let s = q + -36. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r + 192 = 0. Let y be ((-2)\/(-184))\/(24\/r). Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225557*s + 407080*s - 253224*s + 336611*s.\nAnswer: 716024*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5751 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16694 + -8547. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 5*z - 15. Determine i(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -5 - (3 + -1 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1464*z - 3 + 2402*z - 2 + 5 in the form n*z + j and give n.\nAnswer: 3866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27330, -44309, -61288, -78267, -95246, -112225?\n\"Answer: -16979*t - 10351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 240958*m**3 + 3*m**2 + 3*m - 320 wrt m.\nAnswer: 1445748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/1)\/(-4))\/((-2)\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45925385 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*v - 3*v. Let a(t) = -2*t - 6. Let s be a(v). Suppose -s*q = -q - 1. What is the least common multiple of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 103 + 19?\nAnswer: 11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(44)*4 - sqrt(11))**2 - sqrt(121)\/sqrt(44).\nAnswer: -sqrt(11)\/2 + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - o + 3 = 0, -o - 3*o - 18 = -k. Let v(j) = 3*j + 3*j + j**2 - 2 - 2*j**2. Determine v(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 66*w**2 - 3*w + 13. Is n(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -124721, -124714, -124707, -124700, -124693, -124686?\n\"Answer: 7*n - 124728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267382.\nAnswer: 2, 133691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*i + 213, 0*b = i - 3*b - 37. Let w = -27 + i. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 1, l: 3, k: 3, y: 2, a: 5}. What is prob of picking 1 v and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1951.\nAnswer: -4\/1951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 4638497.2.\nAnswer: 1391549.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 984\/187?\nAnswer: 984\/187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/3 + 782*l**2 + 1566*l + 2350\/3.\nAnswer: -2*(l - 1175)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-463*b - 393*b + 577*b)*((-5 + 1 + 3)*(-6 + 4 + 0) + 0 + 4 - 2)*(-1 + 1 - 3) to the form s*b + x and give s.\nAnswer: 3348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 207679, 831628, 1871543, 3327424?\n\"Answer: 207983*d**2 - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.6, 4\/5, 13\/5, -4.2?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11134807?\nAnswer: 43, 258949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 11:23 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 832?\nAnswer: -5\/832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49948341 divided by 723889.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x - 8. Let j be x + 2 - (-21)\/7. What is the highest common divisor of j and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b = -5*l - 5, 292*l - 296*l + 2*b - 4 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16671199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, t: 6, y: 8, n: 2}. Give prob of picking 1 f, 1 t, and 1 y.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11, -2, -158, 1890, 1 in increasing order.\nAnswer: -158, -11, -2, 0, 1, 1890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*f - 12. What is the second biggest value in f, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19a - -1437a3?\nAnswer: 143981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 22 + 84*k + 72.\nAnswer: 84*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6)\/w**(-15))**20)**(-32\/3) assuming w is positive.\nAnswer: w**(-1920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 4:51 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 5. Let p(c) = c. Suppose -2 = 3*x - 2*h, -18*h = 3*x - 22*h - 2. Calculate x*p(g) + d(g).\nAnswer: -g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -268 and -0.13.\nAnswer: 34.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-98)\/4*36\/(-21). Find the second derivative of 5*r - z*r - 16*r**5 - 4*r wrt r.\nAnswer: -320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 69. Let l(c) = c**2 - 149*c + 3410. Let w be l(28). Solve a = j + w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.31 - -0.06. Let z be ((-2)\/7)\/(((-15)\/(-21))\/(-1)). Which is greater: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*p - 209*p + 3724 = 0. Solve -p = 2*k - 258 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 plus -9564?\nAnswer: -9627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19.87 less than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-150)\/5*(-14)\/3. Suppose h + 3*h + c = 0. Let k be (-15)\/h*(-4)\/(-3). Is k <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 478\/480 - 10\/(-25). Let y = -1\/16 + o. Which is the second smallest value? (a) 1 (b) -0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 274.619 + 0.381. Let m = -275 + s. Which is the fourth biggest value? (a) m (b) 5 (c) -13 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21308 = -810*t + 6728 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 + 40*d - 11. Let w be h(13). Suppose 3*r = f - 62 - 33, -w*f - 2*r = -190. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*s + 2*x + 34, -5*s + 22 = 4*x. Solve 0 = -h - 4*v - s, 0 = h + v + 2*v + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -354, -796, -1240, -1686, -2134, -2584, -3036?\n\"Answer: -m**2 - 439*m + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 70*m + 1062. Let j be p(21). Solve 6*v + 9 - j = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*n = 24, 5*u + 5*n + 34 = 2*u. Let c be -2*(u\/(-3) + 1). Is (c + 5)\/(2\/98) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1335550 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsuufswwwwf. Give prob of picking 1 w and 1 f.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*z**2 + 33*z**2 + 2*z**3 - 2 + 2*z**3 + z + 2*z**4 as o + n*z**2 + l*z**3 + r*z + i*z**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u**3 + u - 1. Let t be i(1). Let v = t + 15. Suppose -18 = s - v*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8)*t**(-13))\/((t\/(t*t**(2\/7)))\/t*t*t\/t**(-2)) assuming t is positive.\nAnswer: t**(-166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 605717401 to the power of 1\/2, to the nearest integer?\nAnswer: 24611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**4\/9 + 2*s**3 = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 191815.28 - -59?\nAnswer: 191874.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**4\/6 - 4*d**3\/3 + 2*d**2 - 153*d. Suppose 4*s - 45 = -s. Let f be t(s). What is the highest common divisor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + -72 + 0 + 11 - (3 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 f when four letters picked without replacement from {y: 2, f: 7, p: 3}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-3*4\/(-6)). Suppose n = -d - d + 204. Let b = 21098 - 21077. What is the remainder when d is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-3)\/(-25)*(-10)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.1, 37, 5, 219?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (54\/(-15))\/(3\/(-50))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*s, 2*o + 3*s - 333889 = -67061. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -36064 and -0.53.\nAnswer: -36064.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2187)*-1 + sqrt(2187))\/(sqrt(9) + (sqrt(288) + sqrt(18))\/sqrt(2) + -1*sqrt(81)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*b - 64 = -15*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42\/17 + 160\/51. Factor j*r**2 - 4\/3*r + 2\/3.\nAnswer: 2*(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -20*k + 18. Suppose 3*o = -4*z - 2276 + 2254, 0 = -o + 5*z + 37. What is q(o)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 408*q*t**3 + 8*t**3 - 2*t**2 + 10 wrt q.\nAnswer: 408*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 26 = -16*k. Find the first derivative of 4*x**2 - k - 12*x**2 + 10*x**3 + 10*x**2 wrt x.\nAnswer: 30*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793 is divided by 55.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 4*f. Let i be (-33)\/(-9) + (-7)\/(-168)*8. Give d(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-9 - -8 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (57 + 62 - 120 + 3*s)*(-2 + 0 + 0)*(-1 - 2 + 0) in the form h + c*s and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -284732, -285941, -287150?\n\"Answer: -1209*a - 283523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 149 + 29*d**2 - 5*d - 153 + 37*d**2. What is the units digit of m(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 6*r**2 - 3*r + 6. Let i be a(3). Let f(w) = w - 3. Let x be f(-11). Let m be 2\/(x\/(-4) + -3). Solve -i = -4*k + m*c, k + 19 = 5*k + c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/5 - 94882*b\/5 + 27395872\/5.\nAnswer: -2*(b - 287)*(b + 47728)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1015247911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -2*j**5\/45 - 11*j**4\/54 - 10*j**3\/27 - j**2\/3 + 15*j. Factor k(t).\nAnswer: -2*(t + 1)**2*(4*t + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.4, -2.5, 25, 1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -52.5 and 1?\nAnswer: -52.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -26*n - 223 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -37\/8. Which is smaller: x or 7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/230)\/((-2)\/(-1))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -423303 (base 5) to base 14.\nAnswer: -5267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3) + -9 + 11 + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10166000 rounded to the nearest 100000?\nAnswer: -10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -1\/900*z**6 - 5 + 1\/20*z**4 + 0*z**2 + 1\/150*z**5 + 0*z + 7\/3*z**3. Let f(y) be the third derivative of h(y). Factor f(p).\nAnswer: -2*(p - 3)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 2*u**2 + 3*u**2)*(-394 + 11166*u**2 - 368 + 762).\nAnswer: 44664*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1841, -7343, -16497, -29291, -45713?\n\"Answer: 2*r**3 - 1838*r**2 - 2*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/sqrt(3)*6 - (1 + sqrt(1539)).\nAnswer: -3*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 103785086?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110 - -548\/5. What is the closest to l in -0.04, -3, -6?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10285129 and -0.03?\nAnswer: 10285129.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28 - 33 - (1 + -8). Let b be (-2)\/(-3) + (-129)\/(-9). Let k = 28 + -23. Solve k*d = y*d - b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + -15bb?\nAnswer: -15b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -95? (a) 2\/11 (b) 4\/191 (c) 2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, a: 3}. Give prob of sequence aw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - (-30 + 17) - (6 + -29 + 16)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 14140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 605*i + 21648. What is k(-30)?\nAnswer: 3498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 13. Let s be z(5). Let x = 0.26 + -0.3. Which is the biggest value? (a) x (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {s: 1, m: 1, p: 3, e: 2, n: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-238)\/(-2)*(680\/(-72) + 8 - (-28)\/63)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 1 - k**3 + 1\/2*k**6 + 3\/5*k**5 + 3*k**2 + 0*k - 9\/4*k**4. Find g, given that u(g) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/5)\/((-300)\/(-500)). Let x(u) be the first derivative of 0*u**3 - 3\/2*u**t + 12 - 16\/5*u**5 + 0*u**4 + 0*u. Find the second derivative of x(p) wrt p.\nAnswer: -192*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 34 = -12*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - z**2 - 9*z + 6. What is d(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 3\/229 (c) -32 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4383904811.\nAnswer: 11, 13, 23, 107, 12457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 27, 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k + 5*k + 0*k + 2*k**2 - 4*k + 3. Let p be c(-2). Suppose -a + 16 = p*o, 0 = -5*o + 2*o + 12. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18478 is divided by 330?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of (-2)\/((-12)\/(-603))*(11 - 37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7912082681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 0*u**2 + 2*u - 3*u**2 as n*u + d*u**2 + p and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - s + 35952 = 0, 2*d - 8*s + 12*s - 23968 = 0. Does 56 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/4167 and -75\/926.\nAnswer: 8334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*n = -50*n - 79. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 84.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13638.\nAnswer: 2, 3, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**4\/24 - 8*t**3\/3 - 16*t**2. Calculate h(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.63, 85, 3, 2\/7, -5.8?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/17759?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 6*z**2 - 5*z + 6. Suppose -2*a = -3*w - 0*w - 2, 2*a = -4*w + 2. Let o be (-25)\/2 - a\/(-2). Let l = -7 - o. Calculate m(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 + 48. Which is the second biggest value? (a) -0.2 (b) 0.06 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*r + 5*z - 0, 5*z = 15. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2 + 2*z**2)*(36*z - 6*z + 44*z).\nAnswer: 148*z**3 - 148*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 10:29 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55049, 110089, 165141, 220211, 275305, 330429, 385589, 440791?\n\"Answer: j**3 + 55033*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(100) - (1*sqrt(25) + sqrt(25))*6)*-6)\/(-2*sqrt(605)*-2 + 3*sqrt(605)*2).\nAnswer: 12*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-12)\/(((((f**0\/f)\/f)\/f*f)\/f)\/f)*f*f**(-1\/13)*(f**14\/f*f)\/f assuming f is positive.\nAnswer: f**(77\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {x: 4, v: 2, n: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4219*a**3 + 11*a**2 - 239*a. Let x(d) = -d**3 + d**2 + 4*d. Let w(j) = -k(j) + 12*x(j). Find the third derivative of w(p) wrt p.\nAnswer: -25386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2792 + 22856962931.\nAnswer: 22856965723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04319 rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 6*q**2 + 4*q - 1. Let u be m(-5). Let h = 11 - -1. Let n be (-3)\/(-8)*u\/h. What is the nearest to 0.1 in 0.1, n, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1, 0.03, 2\/5, -2\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2, 0.3, 81, -11318, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 440*y - 4039. Determine w(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {k: 1, p: 2, o: 1, f: 1, w: 1, d: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3489643 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: Let c(k) = -k**2 - 8*k - 11. What is c(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 60*k**2 - 750*k - 2. Determine v(17).\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449*u + 5 = 446*u - 2*n - 2, 3*n - n - 8 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279 - 25202*v + 147 + 25185*v + 132.\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*g**2*s - 57928*g**2 - 38*g*s + 12*s with respect to s.\nAnswer: -32*g**2 - 38*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 9*z**2 + 11*z - 13. Give n(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9949, -19820, -29613, -39328, -48965, -58524, -68005?\nAnswer: -77408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**4\/m*m))**13*(m**(-4\/3))**19 assuming m is positive.\nAnswer: m**(-232\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 137141 and 15184819?\nAnswer: 4729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/961, 0.1, -3\/4, -6?\nAnswer: -2\/961","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112105*p**3 - 49*p + 2704?\nAnswer: -672630*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-64))\/(840\/(-2100))?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - 40*l**2 + 2*l - 45. Give z(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/114)\/((118\/1062)\/((-1)\/3))\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 92196157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/39786 and -77\/228.\nAnswer: 79572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*v - 27*v = -138 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, s: 4, b: 3, d: 2, l: 4, m: 2}. Give prob of sequence lml.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -0.2 (b) 1 (c) 2 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 19\/38*(-42280)\/302\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 359494, 359776, 360058, 360340, 360622, 360904?\n\"Answer: 282*i + 359212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613747 is divided by 190?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 7. Let v be p(10). Suppose 0 = -3*o + 2 - v. Which is the nearest to 1\/4? (a) o (b) -2\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.813 + -17.9. Let a = y + -3.913. Let r = 0.13 - 0.43. What is the fourth biggest value in a, 3\/2, r, 1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -480, 46.25, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 3:56 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 5:08 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26052029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -369*k**5 + 329*k**2 + 2*k.\nAnswer: -22140*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39859393?\nAnswer: 7, 167, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h + 1589 = -21*h - 61*h - 2015 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 - -89. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u + 2. Let h(i) = 4*i + 1. Let o(f) = 3*h(f) - 2*y(f). Give o(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1 - -6) + 3)\/(114\/1539). What is the highest common factor of 825 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 g when three letters picked without replacement from {a: 4, g: 1, u: 12, r: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-14) - (-400)\/28. Suppose -5*w = -4*g + 349, -4*g + 67 + 291 = -2*w. What is the highest common factor of r and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/1377398 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4*z - 15 = 0, -696*t = -692*t + 2*z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8622?\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43492927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -0.3, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 6620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 496803831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 8:15 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 22 = -3*d, -d - l - 6 = -3*d. Suppose -5*f - k + 0*k = -15, d*f = -4*k - 4. Let t = f + -2. What is the closest to t in 3, 2\/3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, y: 5, u: 7}. What is prob of sequence ju?\nAnswer: 49\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6800 and 72.\nAnswer: 61200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)*f*f**(2\/7)*f\/f**(2\/7)*f*f*f**4)\/(f**2*((f*f**2)\/f*f*f)\/f)**(-3) assuming f is positive.\nAnswer: f**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2. Suppose 0 = m - 3*m, -3*o + 2*m - 12 = 0. Let x be w(o). Is (8\/x)\/(2\/60) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -912 + 912. Let f(c) = -c**3 - c - 39. Give f(v).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 + 82. Solve -w = 5*o + 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 + 33*a. Let j(o) = -102*o**2 + 52*o**2 + 53*o**2. Give j(h(w)).\nAnswer: 12*w**4 + 396*w**3 + 3267*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 3)*(-14*o - 7*o + 4*o)*(-2035*o**2 - 2103*o**2 + 3750*o**2) to v*o + y*o**3 + c + g*o**2 and give y.\nAnswer: -13192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/26 (b) -19 (c) -967\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 25.2. Let m = -1.8 + 2. Which is the nearest to m? (a) 2\/5 (b) -1\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4) + -3 + 10 + -14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/2 - 27*d**3\/2 - d**2\/2 + 27*d\/2.\nAnswer: d*(d - 27)*(d - 1)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11988 - 191809\/16. Sort -0.1, -176, p in decreasing order.\nAnswer: p, -0.1, -176","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*t**3 - 830*t**3 - 11 + 11.\nAnswer: -1101*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*n**2 - 3)*(45*n - 74*n - 15*n) to the form p + r*n**3 + q*n + o*n**2 and give r.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258234765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 92191663271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 5*g**3 + 4*g**3)*(2 + 2 - 2) + (-11 + 4 - 11)*(-2*g**3 + g**3 + 3*g**3).\nAnswer: -34*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*s - 305 = 2*s, -2*s = -5*z + 305. Let c = -61 + z. Which is smaller: -2\/155 or c?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6509 and 25187?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**5 - 37*a**4 + 3*a**3 + 54*a**2 + 3. Let q(r) = r**4 + r**3 + 5*r**2 + 1. Let z(c) = -b(c) + 3*q(c). Find the third derivative of z(j) wrt j.\nAnswer: 180*j**2 + 960*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 8*m**2 + 6*m - 5. Let i be p(-7). Let h(a) be the first derivative of 1 + 3\/2*a**i - 2*a - 1\/3*a**3. Find o such that h(o) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36, 379, 1370, 3339, 6616, 11531?\n\"Answer: 55*x**3 - 6*x**2 - 24*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 8764.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p + 3*p + 0*p. Let t(j) = -20*j**2 + 38*j**2 - 17*j**2. Determine a(t(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, c: 4, j: 7}. Give prob of picking 2 n and 1 j.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8960 by 1792.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + b**2 + 9. Is x(0) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z + 165. Let b = z + 277. Suppose x = -10, 861*d - 864*d - 151 = 22*x. Calculate the remainder when b is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 23. What is the remainder when h*((-28)\/12 + 3) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -92835 - 9?\nAnswer: -92843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7999912 - 0.8. Round g to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-62)\/93 + 1\/((-6)\/(-40)). Let v(i) = -5*i + 3*i + t*i - i. Let z(n) = -3*n**2. Determine v(z(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 3:49 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55333628?\nAnswer: 2, 7, 1976201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 11973456?\nAnswer: 11973456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -18*q**2 - 6*q - 6. Let s(g) = 53*g**2 + 16*g + 16. Let r(a) = -8*k(a) - 3*s(a). Let n(y) = 3*y**2 + 2. What is n(r(v))?\nAnswer: 675*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*b - 79*b + 750*b**2 + 27*b**3 + 174 - 708*b + 197*b = 0.\nAnswer: -29, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*261\/63)\/((4\/(-9))\/(1526\/(-981))).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 56 from 4.2.\nAnswer: -51.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22 (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1074*s - 454. What is the units digit of x(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -3 - ((9 - 26) + 22 + 0)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 49*n = 504. Let f(r) = r - 10. Let w(z) = -6*z + 7. Let l(s) = s - 1. Let d(b) = 5*l(b) + w(b). Let t(u) = n*d(u) - 3*f(u). Determine t(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 2)\/((-21)\/28). Suppose h*q + 11 = p, 4*p - q = -0*p + 14. Suppose -15 = -p*j + 3. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 26 + (-3 + 4)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428226 is divided by 142722.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 52 + -5?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/(((z*(z*z*z**(1\/2))\/z)\/z)\/z))*z))\/z)**1\/(((z\/((z**(-1\/13)*z)\/z))\/z)\/z*z*z*z**(-2)*z) assuming z is positive.\nAnswer: z**(-41\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * -41141.\nAnswer: 1398794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/2 (b) 0.0488 (c) -1 (d) -3\/4 (e) -1\/4 (f) -1.36 (g) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 138?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.745 + -3\nAnswer: -2.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g - 28. Let s be d(6). Suppose 2*h + 2*h + 2*i = 632, -3*i + 320 = s*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 11*n - 12. Let l be k(-10). Let j be (0\/(-3) + 0)\/l. Solve -5*c = 4*q - j*c - 32, 3*q = 5*c - 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15200 at least as big as -15199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10211, 20409, 30619, 40847, 51099, 61381?\nAnswer: 71699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*k + 6*k = 14, 0 = 2*y + 5*k + 28. Suppose 4*f + 20 = -4*m + 116, 2*m = -f + 44. Let i = m + y. What is the lowest common multiple of i and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148301410 a multiple of 3562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109725 and 57627.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 7, k: 2, m: 1}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*p**3 + 2 + 6*p**3 - 3 + (-34 + 34 - 2*p**3)*(-3 + 0 - 2).\nAnswer: 31*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-13\/2)\/(i*i**(-34))*(i\/(i*i**(-2)*i*i))\/i**(-1\/4) assuming i is positive.\nAnswer: i**(107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/140*4*4\/(-6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55403473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 33830846.\nAnswer: -33830846.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -28*f**5 - 40*f**4 + 44*f**3 + 24*f**2 = 0.\nAnswer: -2, -3\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34867887 + -12419877. Suppose -23*z = -19*z - 2*w - m, 5*z - 28059995 = -w. Round z to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 391753 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 + -1. Suppose -5*s + 751 + 1934 = 0. Let u = 537 - s. Which is the nearest to u? (a) -1\/4 (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 20*o + 19. Suppose 0 = 2*t - 11*t + 144. Let p be d(t). Let j = -44 + p. List the prime factors of j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.89908 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2 - 10*j + 0*j**2 + j**2 + 9*j - 3*j**2. Let a be z(2). Let x be ((-6)\/a)\/(12\/(-8)). Are 0.2 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -4a75?\nAnswer: 4a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 3:42 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 22 + 23 = 0. Let k be q\/(13\/2 + -5). What is the tens digit of 149\/k*-2 - (-8)\/40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -1. Let w = 86049 - 86047. Which is the closest to m? (a) 3 (b) w (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454 + 781 = -71*h + 99 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4499504137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8519859*i**2 + 4139562*i?\nAnswer: 17039718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 7 - 35 = 0. Suppose -s*q + 8037 = -2876. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 848603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 + 13 = -10*x + 51 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 290\/(-90) - 2\/9. What is the biggest value in n, -45, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**7\/42 - w**6\/10 + w**5\/20 + 7*w**4\/12 - 2*w**2 - 15*w. Factor b(d).\nAnswer: -(d - 1)**2*(d + 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 - 2*h - 2. Let v(z) = -14 - 13 + 29 + 5*z. Let n be v(-1). Let b(d) = -3*d**2 + 3*d + 3. Calculate n*p(w) - 2*b(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 9*s**2 + 6*s + 1. Let u(i) = -i**2. Let m(l) = j(l) + 5*u(l). Let f(p) = p**3 - 32*p**2 + 60*p + 5. Let r be f(30). Calculate m(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*p - 4 = u, 11 = 5*u - p. Let y = -1 + 4. Solve -y = u*k - 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 15) to base 9\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -148 + 220. Suppose 31*c - 33*c = -d. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.03 (b) 1 (c) 1101\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*r = 22, -3*r + 27 = 4*c + 7. Let y be c\/(-3)*(-27)\/6. Suppose y*p = -1 + 28. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-110)\/(-25))\/(4\/10). Let j = b - -13. Is 15 a factor of 0 - -55 - j\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/2 of a year?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 195362503200*c**3 + 781463764560*c**2 + 55007282*c + 968.\nAnswer: 2*(c + 4)*(312540*c + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4944781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111951339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*f - 9. Let l = 7 + f. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2. Let c(s) be the third derivative of 0 + 0*s**3 + 3*s**2 + 0*s - 1\/24*s**4. Determine n(c(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -319*x. Let z(s) = -506260*s. What is -4760*u(l) + 3*z(l)?\nAnswer: -340*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 764, 766, 768, 770, 772, 774?\n\"Answer: 2*y + 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 733551357 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - 2. Is -7 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - 859268?\nAnswer: -859256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 2:09 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23d3 (base 16) to base 10.\nAnswer: 9171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqhq. Give prob of sequence hq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1403 + 1492. What is the remainder when q is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 m when three letters picked without replacement from {m: 2, f: 2, u: 1, v: 1, d: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(4318\/(-508)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2505 - 2442 = -21*h. Sort 3, -5, h, -1234 in decreasing order.\nAnswer: 3, h, -5, -1234","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1475 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -12, -42, -86, -150, -240, -362?\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(13)*-1*5 + 6*(sqrt(104)\/(sqrt(8)*1))**2.\nAnswer: 10*sqrt(13) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 290068, 580129, 870190, 1160251, 1450312, 1740373?\n\"Answer: 290061*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 88, 28, -3, 4 in ascending order.\nAnswer: -5, -3, 3, 4, 28, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j - 12. Let k be (j - 1)*(-2)\/(-6). Which is the third smallest value? (a) -3 (b) k (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15346103.\nAnswer: 197, 77899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w - 0. Suppose -z + 3*j - 10 = -2*j, -2*z = w*j - 32. Suppose 4*g + 973 = 3*i - 258, 0 = -5*g + z. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/25, -3, -9 in descending order.\nAnswer: 3\/25, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**(1\/8)\/n*n)\/n))**42\/(n**(1\/2)*n**7))**(-18\/13) assuming n is positive.\nAnswer: n**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 431?\nAnswer: -42c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 0, -4*j - j = -k - 10. Suppose -209 - 149 = -j*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(d + 7*d + 0*d) - 57*d - 59*d + 118*d - 23.\nAnswer: -6*d - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 760841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iffvffuivippfpuxfvvi. Give prob of sequence px.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*q + 3*y, -4*q + 3 = -8*y + 3*y. Let j(g) = -g**3 + 8*g**2 - 6*g - 9. Let m be j(q). What is the tens digit of (m - -2) + 81 + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -168 + 353. Let r = c + -733\/4. Find the common denominator of (3*3\/(-14))\/((-888)\/(-2072)) and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 63, 14.\nAnswer: -4, 14, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 5374.\nAnswer: 5374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/1160? (a) 0 (b) 10 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5 + 2 = 0. Let q(a) = 6 + 2*a**3 - 3*a**2 - a**s - 5*a + a**2. What is the lowest common multiple of 18 and q(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -24. Let f = y + -1. Suppose -f*g + 2 = -4. Is 3 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3687773855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 401 - 710. Let u = -91 - b. What are the prime factors of u?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 8. Suppose 3*j + v = 50. Let b = j - 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8108498187 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 67)*(-1)\/3. Suppose f = -3*n - 29, f + 7 - 44 = 3*n. Let u = n - o. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 279*s**2 - 1111*s - 6. Calculate y(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 334, 708, 1098, 1510, 1950, 2424, 2938, 3498?\n\"Answer: m**3 + 2*m**2 + 361*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 677 - 677 + 3*s**3 - 140*s**2 + (3 - 3 - 2)*(2 + 2*s**3 - 2).\nAnswer: -s**3 - 140*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(13)*-4 + -3)**2.\nAnswer: 24*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 0, 15 = 5*m + 2*l + 3*l. Suppose -4*h + h - 22 = -5*k, 0 = 4*h + 16. Solve -11 = j + k*i - 2, -m*j + 5*i = -17 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/(-143) - (-54)\/(-11) - -2732 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + 41. Suppose -14 = -4*o - p. Is 4 a factor of (-3)\/(-2 - o\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24294.\nAnswer: 2, 3, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 0*i + 0*i**4 + 1\/7*i**7 + 0 - 12*i**3 + 0*i**5 - 33*i**2 + 0*i**6. Differentiate m(u) wrt u.\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**6\/180 - c**5\/12 - c**4\/2 - 20*c**3\/3 + 17*c**2 + 1. Let l(h) be the first derivative of k(h). What is b in l(b) = 0?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69198735?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7 - w + 2*w - 3*w + w. What is the remainder when 11 is divided by y(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 + s**2 - 4*s**2)*(s - 1 - 9 + 0 + 6 - s - 5*s + 4*s + (-2*s + s + 0*s)*(3 + 1 - 3)).\nAnswer: -4*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 87\/2 of a microgram?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*-1.9\nAnswer: 0.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from zzzlezefffeeflzfcl.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 12*h + h + (-1 - 3 + 6)*(1 - 2*h - 1) - 4*h + 3*h - h.\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.566 + 0.53. Let a = h - -0.636. Is a != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18622 to two dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 - 66. Let x = l + -19. What is the second biggest value in x, -4, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197, 652, 1315, 2192, 3289?\nAnswer: 4612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1 - 2*c**2 + 6*c**2 + 6 + c**3 + 6*c**2. Let u be g(-10). What is the greatest common factor of u and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -539450*u + 269725*u + 269724*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 - 24*t + 3. Let s be h(8). Which is the nearest to -0.05? (a) -1\/4 (b) s (c) 40 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5173448407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 13. Let z(x) = 3*x + 9. Let o(y) = 13*y + 35. Let b(r) = j*z(r) - 2*o(r). Let k be b(-9). Solve 24 = 3*f + k*v - 5*v, -f + 5*v = -24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, b: 4}. What is prob of picking 3 b?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**5\/(y\/y**(-6))*(y\/(y\/(y*y**(-1\/5)*y)*y))\/y*y\/((y**(-3\/2)\/y)\/y) assuming y is positive.\nAnswer: y**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h**2 - 1. Let b be q(1). Suppose 3 = b*v - 6. Solve -v*f - f - 4 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 - 3*b + 1. Let y(h) = 10 + 5 - 5*h - 3*h**2 - 14. Let n(j) = 5*t(j) - 3*y(j). Give n(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -243 + 246. What is the greatest common factor of f and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.738619ml to litres.\nAnswer: 0.007738619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -123, -158, -193?\n\"Answer: -35*s - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/5 - 664*s\/5 - 264 = 0. Calculate s.\nAnswer: -330, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 206177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.2, 4, 6, -0.0705 in decreasing order.\nAnswer: 6, 4, 3, 0.2, -0.0705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -277090*s - 9975238. Calculate j(-36).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725 + 49258 + 11687 = 3011*t for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2086690885 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -850 and 0.11.\nAnswer: -93.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185267095?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5096 and 2600?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 127 = -i - 0*i, 0 = t + 5*i - 8. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from mkmmkkmmmmmmmmkk.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a + 26*a + 28. Let j be 1524\/(2 + a + 4\/(-3000)). What is j rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -148*j**2 + 358*j**2 - 98*j**2 + (j - j + 2*j)*(-14*j - 24 + 24).\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1281 + -695. Suppose -6*t = -t - 3*n - 602, 5*t - c = -n. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185828 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1227*v**2 - 1 - 1219*v**2 + 1.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1872 in -1, 0.037, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.8 - -2.7. Let n = -0.2 + 0.7. Let r = f - n. What is the biggest value in 0, r, -1\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttqqqff. Give prob of sequence tftt.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 2 (c) -0.3 (d) -0.1 (e) -5 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26703, 26745, 26861, 27087, 27459, 28013, 28785?\n\"Answer: 6*b**3 + b**2 - 3*b + 26699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.83 + 0.07. Let s = -21 + g. Let n = s - -2. Sort n, -2, 2 in increasing order.\nAnswer: -2, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 8*p**2 + 15*p + 11. Let j be o(-11). Suppose -7*c + 7124 = -3*c. Let b = c - j. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90*s**4 + 317 with respect to s.\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/16 + 390\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 19, -26, -89, -170, -269, -386?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = -25*b + 2226. Suppose 0 = 10*h - 5*h + 315. Let p = b + h. Is p a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19528 at most 19527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16 and 30\/41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 15) to base 7\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3833933 to the power of 1\/2, to the nearest integer?\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 = 6. Suppose -2*k = 5*m - 10, m - 20 = -0*m - 4*k. Let l be ((-12)\/(-15))\/((-1)\/(-10)). Solve -4*f + y = -z - m, 2*f + 2*y - l = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -161 - 7794?\nAnswer: -7945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(1 + 1\/(-1)). Suppose 3*l + m = h - 2, 2*l + 12 = -2*h. Suppose 2*g - 15 = -g. Put 1, l, g in increasing order.\nAnswer: l, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -423?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*i - 124 = 81*i + 780. Suppose -4*l = -4*h, -5*l + 4*l + 2 = 0. Put i, h, 4, 21 in descending order.\nAnswer: 21, 4, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 226, 123, 6, -131, -294?\n\"Answer: -z**3 - z**2 - 93*z + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4202 + -2386. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298405 is divided by 210?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 5 = 11*w - 13*w + t, 16*w + 3*t = -72 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + (sqrt(264)\/(sqrt(6) - sqrt(486)) - sqrt(44)) + -3 + -2).\nAnswer: 27*sqrt(11)\/4 + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2 and -155\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 2)*(-2 + 6*b + 5*b**2 - 6*b) + (0*b + 2*b - 4*b)*(5*b - 3*b - 4*b) + 2*b**2 - b + b to c*b + q + i*b**2 and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pep when three letters picked without replacement from ehpeeexpe.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00423536 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002609074 rounded to 7 dps?\nAnswer: 0.0000261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**2 + 24. Let b(n) be the second derivative of 3*n**3\/2 - 2*n. What is b(q(v))?\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 + 53 - 8*a)*(-3*a - a**4 + 3*a) - 23*a**4 + 31*a**4 - 12*a**5 + 14*a - 12*a.\nAnswer: -4*a**5 + 8*a**4 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55\/3 + -18. Which is the closest to -2? (a) 0.4 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*s + (-s + s - 4*s)*(1 + 2 - 4) + 1270*s - 241*s - 93*s - 192*s - 202*s.\nAnswer: 548*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32, -202, -668, -1580, -3088?\n\"Answer: -25*u**3 + 2*u**2 - u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1500 - 972. Let j(s) = s**3 + 10*s**2 + 9*s + 47. Let g be j(-11). Let d = g + t. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4510 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.06 - 0.06. What is the closest to 1 in -2\/7, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 12:14 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 1042 = 36*h - 1186 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/8 of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 3:57 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 3*d - 5. Let u be b(7). Suppose -r = 5*g - u, -g + 5*g - 16 = 0. Let n = r - 0. Calculate the highest common divisor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*p + 88 = 0, -5 + 113 = 4*c + 3*p. Let f = 34 - c. Solve 4*l = -z + 3 + 4, f = 5*l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*q + 602 = 47*q - 40*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 326*s**2. Let a(q) = -13*q**2 + 2*q. What is a(v(p))?\nAnswer: -1381588*p**4 + 652*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39338 is divided by 3276?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dzzzdzzmm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r - 10. Let c be a(4). Let u be 3\/1*(1 + c) + 5. Suppose -4*i + 1008 = -0*i + 3*j, -5*i + 1267 = u*j. Is i a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + (-4)\/(-8))*4. Suppose 0 = -j*t + 6 + 44. Suppose d + 5 = 0, -4*z + 32 = -d - 9. What is the remainder when t is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379 = -5*w + 4*f, -f + 5 = -5*w - 386. Let z = 81 + w. Suppose -z*a + 1 - 3 = 0, 2*m - 353 = a. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/1408, 190, 2 in descending order.\nAnswer: 190, 2, 1\/1408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, i: 3, y: 1, c: 1, l: 3}. Give prob of sequence lil.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 525314814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -20, -24, -36, -56, -84?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3211303332 (base 4) to base 14\nAnswer: 1a7086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1436 = -5*c + 2*w, 4*w + 50 = c + 348. What is the tens digit of c\/(2 - 168\/78)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 286\/33*6\/91. Sort 1\/6, r, 3\/50, 12 in ascending order.\nAnswer: 3\/50, 1\/6, r, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -749 + 67411\/90. Let w(c) be the third derivative of -1\/315*c**7 + 0 + 1\/18*c**4 + 1\/9*c**3 - f*c**6 + 4*c**2 + 0*c + 0*c**5. Factor w(g).\nAnswer: -2*(g - 1)*(g + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 2, l: 1, g: 5}. What is prob of picking 2 o?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/21)*y*y*y*((y\/y**(-5))\/y)\/y)\/(y\/(y**1\/y))**(-45)*(y*y*y*y\/y**1*y)**(-46)\/(y\/(y**(-2)\/y))**(-43) assuming y is positive.\nAnswer: y**(859\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h**2 - 6*h - 8. Let x = -56 + 54. What is the units digit of t(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/(-6))\/(-2 - -1). Suppose w - 140 = -5*o + 68, b = -2*w. Is o a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.1151344 to three decimal places.\nAnswer: 25.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(2736) - -2*sqrt(2736) - sqrt(2736)) + -2 + 4 + sqrt(2736) + 1 + sqrt(2736)))**2 + 3.\nAnswer: 1152*sqrt(19) + 175143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2477*f**3 + 15*f**2 + 100*f + 45. Is j(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqm when three letters picked without replacement from qmqmqmmmmmmmmm.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**4\/8 - 9*l**3\/2 - 243*l**2\/4 - 729*l\/2 + 51. Factor h(v).\nAnswer: -(v + 9)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -11*v**7\/210 - 5*v**5\/12 + 14*v**2. Find the third derivative of w(y) wrt y.\nAnswer: -264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*l + 674*l**2 + 83*l + 3319*l**2 + 87*l + 77*l.\nAnswer: 3993*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1504 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32422 (base 6) to base 11.\nAnswer: -3401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93039?\nAnswer: 3, 31013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 2) + (-20)\/4. Do m and -10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*x + 33, 16*y - 59 = 14*y + 3*x. Suppose 0*s + s = 14. Let k = 23 - s. Calculate the remainder when y is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 33*s - 3389. Let j be h(-77). Let q(r) = r - 47. Let g(y) = -y. What is j*g(a) + q(a)?\nAnswer: 2*a - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 183\/9 - (1 + (-4)\/6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 257 + -115. 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: Let i(c) = c**3 + 17*c**2 - 18*c + 8. Let y be i(-18). Suppose -313 + 41 = -y*n. What are the prime factors of 300\/51 - 6 - (-3166)\/n?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116 - -516413?\nAnswer: 516264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 4*i = -513 + 503, -13 = -j + 4*i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-42)\/15)\/(2\/10). Let g = 16 + v. What is the nearest to 1 in -2, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0722 and -145561600416?\nAnswer: 145561600416.0722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.942 and 0.08.\nAnswer: 0.31536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -103559, -1\/4, -0.5, -3\/5.\nAnswer: -103559, -4, -3\/5, -0.5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33104428997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 9*c + 3. Let b be m(6). Suppose b = y - 4*u, -5*y - u = -3*u - 51. What is the second derivative of 0*n + 19*n**2 + 3*n - y*n wrt n?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, i: 1, l: 2, o: 1, q: 1}. What is prob of sequence oi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 + ((-34)\/4 - 111\/74).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128*r**3 + 1395*r**2 wrt r?\nAnswer: 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 12*s**2 + s + 5. Let x(c) = c**2 + c + 1. Let o(u) = -b(u) + 4*x(u). Is 13 a factor of o(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2366091\/2925 - (-4)\/50.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 1:59 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 5*v - 1. Let y be t(-4). Let w = 6 - y. What is the second derivative of -w*c - c**5 + 7*c - 3*c**5 + 0*c wrt c?\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4 = 5*g + 115, -5 = -5*g. Suppose 0 = -3*s + c + 55. What is the third derivative of 8*t**3 - 17*t**3 - 6*t**2 - s*t**3 wrt t?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 14*t - 1\/33*t**3 + 1\/66*t**4 + 0*t**2 + 0. Factor f(w).\nAnswer: 2*w*(w - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4484 = 2*a - 11*i - 4434, a - i + 7 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 71?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5563016*k**2 + 28*k**3 + 31*k**3 - 5563016*k**2 - 15*k**3.\nAnswer: 44*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m = -4*j - 78 - 39, j - 22 = -5*m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t + 84 = 4*s, 45 = 2*t + s. Calculate the greatest common factor of 120 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 10*o**2 + 8*o + 75. Let v(i) = -7*i - 3. Calculate 8*v(w) + 3*z(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -151710*0.0393\nAnswer: -5962.203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7192297 to the nearest integer?\nAnswer: 2682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -180.85 - -181. Let y = 0.25 - c. Let q = 0.3 + -1.3. What is the closest to q in -3\/7, y, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -2\/629 (b) -11 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -619, -2123, -4647, -8191?\n\"Answer: -510*t**2 + 26*t - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517690.\nAnswer: 2, 5, 51769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*p - u, 4*p - 8 = -u + 17. What is the highest common divisor of 25 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-209 + 109 + 71)*(-4*m**2 + 4*m**2 - m**2)*(-1 - 8 - 15) as f*m**2 + a*m + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/(-27))\/(8\/(-18)). Suppose -4*j + 5*j = y. Solve j - 8 = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7451125 - 4?\nAnswer: -7451130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42132*x = -42131*x + 20 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22427 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -3, 3\/2, 80.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1156 divided by -2\nAnswer: -578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j + 32. Let p be o(6). Let n be (-13)\/2 + (49\/p - 4). List the prime factors of 82*1 + 1 + n + 8.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 545 = -805. What is the remainder when d is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 307.08 - 302. Let c = d + -0.08. What is the closest to -1\/2 in -0.3, c, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14782\/37 or -399?\nAnswer: -14782\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143855, -143854, -143853, -143852, -143851, -143850?\nAnswer: -143849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 11:37 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.082 - -0.282. What is the closest to -3 in 0.06, v, 0.4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18\/5 + 188\/55. Let b(p) = -p**2 + 5*p + 8. Let y be b(6). Suppose g - 23 = 3*q - 4*g, -y*q = 5*g - 18. Which is smaller: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -14. Suppose -c - f = g, -g - 4*c - 18 = -0*c. Let u be ((-3)\/(g\/9200))\/1. Round u to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*w = 197*w + 31 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3149 = -32*y + 3533 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 2*j + q, -3*q - 24 = -2*j + 3*j. Let w = j - -21. Solve 0*v = 3*v + w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -198 in ascending order.\nAnswer: -198, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3500756.3 + -800268\nAnswer: 2700488.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 5:13 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 755 = 97*b + 2*b - 136 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*u + 38, 36 = 2*s + 2*u. Let a = s + -21. What is the derivative of -8*q**a - 10*q**2 - 5*q**2 + 7*q**2 - 29 wrt q?\nAnswer: -32*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8404)\/(-33) - 2\/(-6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1804045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*f - 34, r - 3*r = 3*f - 11. Find the third derivative of -86*w**6 - 38*w**2 - 37*w**2 - f*w**2 - 185*w**2 wrt w.\nAnswer: -10320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 7. Let z = -4 - p. Determine h, given that 3*h**z - 5*h - 3*h**3 + h + 3*h + h**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 7 = -2. Let f be (0\/(-4))\/b + 4. Suppose 0 - 1\/4*n**5 + 0*n**2 + 0*n**f + 1\/4*n**3 + 0*n = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3803 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -9.6. Let l = v - 3.6. Suppose 7*q - 6 = 4*q. What is the smallest value in l, -0.1, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -19122000 rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1611 - -8057\/5. Which is the nearest to 1\/3? (a) 2\/29 (b) -2\/9 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -102122323131?\nAnswer: 102122323202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22133 * -998.\nAnswer: 22088734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(11\/((-15268)\/8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -361*v + 343*v - 36 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497193777 a multiple of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -962*y**2 - 134*y**2 + 1229*y**2 - 131*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -10\/93 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 650875 and -7616864.\nAnswer: -6965989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-3 - (-3 - (-8 + 1 - 2)))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**2 + 6*u - 9. Let w(m) = -13*m**2 - 12*m + 19. Calculate -5*v(o) - 2*w(o).\nAnswer: o**2 - 6*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3135 - 2863. What is the highest common factor of h and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2032 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 - 9. Let u(x) = 18*x + 220. Let f(p) = 9*p + 120. Let v(g) = -11*f(g) + 6*u(g). Give v(q(l)).\nAnswer: 36*l**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 13\/((-195)\/42).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*((-6)\/10)\/(212\/(-265)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2080341 + 2080341 + 77*l**3 - 454*l**3.\nAnswer: -377*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 54 = -19*l - 19 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in -5, -4, -5\/3, -5\/2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 946.014 + -944. Let k = -8 + 6. Let v = x + k. What is v rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 21\/(-9))\/1. Let s = -0.27 - 0.03. Put s, -2, n in ascending order.\nAnswer: -2, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 132*x. Let t be 1 + -4 - (5 + (-21)\/(5 - -2)). Let m(j) = -24*j. Calculate t*n(a) - 28*m(a).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 41*z**2 + 832*z - 762. Determine g(-56).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -211*b**6\/60 - b**4\/12 + 31*b**3\/6 + 98*b**2 - 2*b. Find the second derivative of q(h) wrt h.\nAnswer: -2532*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(168\/582))\/((9\/(-36))\/((-301)\/172))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 4*v - 2*v - 7, -9 = -2*c + 3*v. Suppose -2*g + c - 1 = 0. Let j = g - -1. Solve j*a - 4 = -0*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6)\/(y\/(y\/y**(1\/23)))*y**(2\/7)*y**8 assuming y is positive.\nAnswer: y**(361\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 88697905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppdpdbpddpddbp. Give prob of sequence pbpb.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o + 1. Let m(y) = 101*y - 5. Give -m(d) - 5*t(d).\nAnswer: -81*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 1. Let b(d) = -d. Let j(k) = -4*k - 1. Let i(a) = q*j(a) + 7*b(a). Let g = -24 - -22. Let s(c) = 2. What is g*i(z) + s(z)?\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 23a17?\nAnswer: -23a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6498526817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -18*((-80)\/30 + 2). Let j(c) = 5*c - 7. Let v be j(5). What is the greatest common divisor of v and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)*y**(-4\/11)*y)**(-3)\/((y*y**2)**(-13)\/(y**9\/y**(-7))) assuming y is positive.\nAnswer: y**(617\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 1. Let o(q) = -2*q + 13. Let z(c) = -o(c) + 5*y(c). Let h be z(5). Suppose -5 = -x + h. Calculate the highest common factor of 21 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 1 = -3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*c**3 + 9*c**3 + 4*c**3 + 11*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 88 = -7*z. Let r = -69 - z. List the prime factors of -5*(-5)\/(r\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -4700.\nAnswer: -4704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 16*l**3 + 4*l**2 + 4*l + 4. Let v(y) = -17*y**3 - 5*y**2 - 5*y - 5. Let i = 2042 + -2037. Determine i*h(j) + 4*v(j).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -817*h**3 - 1261?\nAnswer: -2451*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107025 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 - 92*k - 332. Calculate the remainder when 1050 is divided by l(-9).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 102 = q + t, -q + 94 = t. Suppose 3*j + q = 8*j. Suppose 10 + 6 = 2*i + 4*m, 0 = 2*i + 3*m - 17. Calculate the remainder when j is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 854.\nAnswer: 7686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 4*b**4 - 59*b**3\/6 + 3*b**2 - 2. Is k(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 4*r - 10. Let k be f(8). Let g be 0 - (k\/(-10) + 2). Let o = 1 - 1. What is the closest to 0 in g, o, -1\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*j**3 - 8 - 6*j + 8 as h + t*j + f*j**3 + z*j**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0107 - 0.3893. What is the third biggest value in 6\/41, 12, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -47.18, -0.3, 5, 2\/13, -2\/11347?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 + 46. Let r = g + 58.99999941. Round r to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-91)\/(-28))\/(-13))\/(237\/6). Which is bigger: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1669 - 709 + 1558 - 1029 + 1845)*(15*b**2 - 3*b**2 - b**2).\nAnswer: 36674*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -2*t**5\/5 - 4*t**2 + 4*t. Differentiate a(d) wrt d.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88404?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9932.\nAnswer: 2, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and (-106)\/(-6) - 6\/(-18)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 20*y - 190. Let h be j(-6). Solve h*d - 4 = -2*a, 0 = -4*a + 6*a + 5*d + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**6\/30 - 3*g**5\/10 - 2*g**4\/3 + g**3 + 9*g**2\/2 - 79*g. Let j(t) = 0. What is t?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 25872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -65163 divided by 203\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 4*y**2 - y + 6. Let a be d(4). Let f be ((-2)\/(-4))\/(2*a\/952). Calculate the highest common factor of 17 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -2, -2*s - 105 + 117 = -4*n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2. Let b = 55 - 54. Let k(m) = m + 1. Let l(j) = -10*j - 5. Let i(x) = b*l(x) + 5*k(x). What is i(u(p))?\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/sqrt(3) - -1*(-1 + sqrt(19)).\nAnswer: -1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 167721179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 2. Let b(p) = -10*p**2 - 26. Let m(q) = b(q) + 12*t(q). Let f(d) = -4*d**2. Give f(m(k)).\nAnswer: -16*k**4 + 32*k**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148971 is divided by 152.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 7:40 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -87247, -87280, -87335, -87412, -87511, -87632, -87775?\n\"Answer: -11*q**2 - 87236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 9:42 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26327152.\nAnswer: 2, 17, 151, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 16. Let s = n - 37. Solve 3*u - 10 = 4*l, -3*l - s*u + u - 18 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 17?\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 3*b = 0, 4*i - 2*b + 7*b = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -523, 10, -895 in descending order.\nAnswer: 10, -523, -895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 16*h + 12. Let l be m(-15). Which is the second biggest value? (a) -0.2 (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 2. Let k(u) = 75*u - 226. Let o be k(3). Sort a, 0, -5, o in descending order.\nAnswer: a, 0, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*y = 134*y + 7426 + 5548 + 6424 for y.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/15 - 154\/220)*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 2*t**2 + 2*t - 2. Let w be g(-3). Let v = w - -1. Find the common denominator of 27\/20 and (v\/(-32))\/(7\/623).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1468131 + 2.9.\nAnswer: 3.0468131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 22 = -w + 11*w. Suppose 4 = 3*m - m. Calculate the remainder when 135 is divided by (1\/(-2))\/(m\/(-92))*w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-332)\/6*5\/(-3)*44532\/49480\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -58000*f. Let r(c) = c**2 - 4*c - 8. Let z be r(6). Suppose 2*m + 24 = z. Let w be h(m). Round w to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooe when three letters picked without replacement from ehfeeghohesggeegseoe.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*3 + 90 + -90.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 5*p + 1. Let x be g(5). Suppose 2*v + x = 3*v. Let f be (-21)\/(-14)*(-2)\/6. Which is the biggest value? (a) 0 (b) f (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x + x)*(-x + 6*x - x)*(-4 + 0 + 3) + (-4*x + 6*x + 0*x)*(x - 3*x + x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 815976 and 1512.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 9 + -1*8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 0)\/(60\/(-6))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41 or 314?\nAnswer: 314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158 or -160?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 87 + 820 - 40*v**2 - 357*v - v**3 - 29 = 0. Calculate v.\nAnswer: -21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**4 + l**3 - 1. Let i(h) = -3*h**4 + 4*h**3 + 8*h**2 + 2. Let t(z) = 2*i(z) + 4*u(z). Factor t(f).\nAnswer: 2*f**2*(f + 2)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r - 60*r = -16*r + 1078 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m**3 - 391830*m**2 - 17993964*m + 4018008 = 0. What is m?\nAnswer: -46, 2\/9, 14558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqxz when four letters picked without replacement from {x: 4, q: 2, m: 4, w: 2, z: 2}.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/132 and 13\/6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 260316 - -2078.\nAnswer: 262394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52208.3ns in seconds?\nAnswer: 0.0000522083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x**2 - 89*x - 55. Determine r(15).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 30425 = -4189. Is (f\/(-27))\/((-2)\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -16630?\nAnswer: 16633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-162))\/((-10)\/(-9))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 24*o - 25*o**3 - 32*o + 28*o**2 + 30 + 49*o**3 - 28*o**3.\nAnswer: -4*(o - 4)*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Let o(g) = g. Let z(k) = 7*o(k) + 6*x(k). Let d(p) = p**2 - 2*p - 2. Let r(u) = 3*u**2 - 7*u - 7. Let i(s) = -14*d(s) + 4*r(s). What is i(z(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9290+2.539\nAnswer: -9287.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 16, -3*s - 36 = -n + s. Let w be (-72)\/n*(-30)\/4. Let x = -19 - -37. What is the greatest common divisor of x and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152, -108, -40, 64, 216?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*f**3 + 101150*f**2 + 11*f + 142458 wrt f.\nAnswer: 252*f + 202300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1218 divided by 21.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/(2\/4*-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/30 and ((-2)\/42)\/((-19)\/(-1577)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14355334 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -3*z + 16, 58*z = -3*w + 53*z + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 2 - (-1 + -4). What is the third derivative of -f**4 + 5*f**4 + 0*f**4 - f**q wrt f?\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 11. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1927885 is divided by 922.\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 3)\/((-36)\/(-90)). Suppose -a*i + 5*c + 1225 = 0, -2*c = i + i - 474. Does 39 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430173 (base 11) in base 2?\nAnswer: 10101000000011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*z - z - 10*z in the form w*z + a and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-840)\/(-336)*8\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 5*d**4\/12 - 559*d**2 - 2*d. Let h(m) = 136*m**2. Give w(h(n)).\nAnswer: 1360*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.23219t in micrograms?\nAnswer: 66232190000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 + 2*u**2 + 0*u**2 + (-6 - 95 + 4)*(u**2 + 0*u**2 + u**2) as b + j*u**2 + y*u and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - s = 4*s - 130, -2*n - 5*s = -52. Suppose -10*u + n*u - 2912 = 0. What is the least common multiple of 2 and u?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19828681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3789\/2526)\/(1*(-1)\/14)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 1437059852198?\nAnswer: -1437059852202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 366119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4) + 40*52\/45760.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -465558341*i**2*s - 1152391385*i*s wrt i.\nAnswer: -931116682*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m**3 + 3*m**2 - m. Let q(w) = w**3 + w**2 + w + 1. Let n(g) = -j(g) - 3*q(g). Is 45 a factor of n(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13460 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**19\/((b**(2\/13)\/b)\/b))**(-25) assuming b is positive.\nAnswer: b**(-6775\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2542 by -6.\nAnswer: -1271\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1647.904 decades to months.\nAnswer: 197748.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1080 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-99)\/(-6)) - 1825\/(-55). Suppose -40*t = -43*t + w. Suppose 10*k - t*k = 2*y, -y = -k + 9. Calculate the lowest common multiple of 5 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23649 + -4?\nAnswer: 23645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*g**5 + 1141*g**2*m**2 + 471782*g*m**2 wrt g.\nAnswer: 340*g**3 + 2282*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7606.\nAnswer: 2, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (589 - 589) + -2 + 28 + -1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, 4, -6 in increasing order.\nAnswer: -6, -3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-7)*6\/(-6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 500 and 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 103, 0.1 in descending order.\nAnswer: 103, 3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 44*a**2 - 430*a + 949. What is n(3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 705269993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12555 = -6*i - 3*i. Suppose -s - 1745 = -5*n, 3*n = -2*s - 335 + i. Let v = n - 146. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1538, 1238, 892, 476, -34, -662, -1432, -2368?\n\"Answer: -4*q**3 + q**2 - 275*q + 1816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45445 = 64*a - 44037 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -7.29, -4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010180625291 rounded to 6 decimal places?\nAnswer: -0.010181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12585 divided by 6.\nAnswer: -4195\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1151, -3, 1 in decreasing order.\nAnswer: 1, -3, -1151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 3*w. Let r = 73 - 75. Let a(b) = -4*b**2 + 7*b + 1. Determine r*a(t) - 5*k(t).\nAnswer: -2*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110011011101001111010 (base 2) in base 8?\nAnswer: 36335172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -x - 2*z - 3, -3*x + 5*z = -10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/4)\/((-13495)\/(-5398))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17735 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 83*m**8\/42 - m**6\/120 - m**4\/24 - 1237*m**3\/3 + 1581*m**2 + 2. What is the second derivative of x(r) wrt r?\nAnswer: 13280*r**3 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 9 - 3 = 0. Let h be l\/(-2)*(-32)\/24. Suppose -h - 13 = -5*a. Solve 5*x = 5*w, -a*w - 3*x + 25 + 5 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6003 (b) 2 (c) -3974\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 9*q**2 + 25*q + 27. Let y be t(-5). What is the greatest common factor of y and 216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 2\/(-6) + (80\/6 - -5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 8325.\nAnswer: 8325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 317048 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**4\/7 + 356*m**3\/7 - 1446*m**2\/7 + 1816*m\/7 - 104 = 0.\nAnswer: -182, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-6)*2\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.9 times 117?\nAnswer: -22569.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8585, 7701, 6817?\n\"Answer: -884*y + 9469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 50, -5, -2, -4 in increasing order.\nAnswer: -5, -4, -2, -1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4725437671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 921*z**3 - z**2 + 11*z - 2. Let a(r) = r**3 - 5*r + 1. Calculate -2*a(q) - o(q).\nAnswer: -923*q**3 + q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 271 (b) -1\/3 (c) 3\/5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) - (-4*sqrt(10)\/sqrt(5))**2).\nAnswer: -160 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3792 is divided by 136?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 7. Suppose -u*h + 9 = -6. Let k(l) = -l**3 - 5*l**2 - 2*l - 5. Let x be k(-5). Solve -2*w - x = h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 303, -9\/5, -1\/4, -4?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235919 is divided by 729?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 821 - 53. Let z = x - 37. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjjqurca. Give prob of picking 1 a, 1 j, 1 u, and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -36*a + 30. Let w(u) = -5*u + 4. Let x(y) = -2*t(y) + 15*w(y). Let c(p) = 7*p**2. Give x(c(o)).\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (84 + -36 - 12) + -85\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u**11*u)))\/(u*u\/(((u**(2\/9)\/u*u)\/u)\/u)*u)*(u**(2\/11)*u)**(-36))**26)**8 assuming u is positive.\nAnswer: u**(-727376\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 45311, 45339, 45367, 45395, 45423?\n\"Answer: 28*a + 45283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 11:17 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*h - 144, 0 = h + 2*o - o + 24. Let f = h - -58. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111 (base 2) to base 15.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f + 14. Let n(i) = i - 1. Let t(z) = 6*n(z) + v(z). Let a be t(8). Solve -s = a, 20 = -5*u + u - s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 12*b - 20. Calculate the remainder when n(6) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.406888 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2. Let h(a) be the first derivative of 4 - 1\/24*a**4 + 2*a**2 + 0*a**3 + 0*a. Let d(k) be the second derivative of h(k). Determine d(u(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31292 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: Let j = -0.16 + 1.16. Which is the closest to -2\/7? (a) j (b) -4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 2*o**2 + 2*o + 533. Let z be g(0). Let l = 653 - z. Does 20 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7757\/34947 + 1\/3883. What is j in 2\/9 - v*j**2 + 2\/9*j**3 - 2\/9*j = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 464132 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 2. Calculate the greatest common factor of g and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -5*m + 2*v, 3*m + 572 - 611 = 2*v for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2115, -4319, -6579, -8895, -11267?\n\"Answer: -28*g**2 - 2120*g + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3292141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -22. Let c = o + -6. What is the closest to 2\/3 in -3, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - (2\/(-2) - 1). Let n be ((-8)\/(-10))\/(l\/20). Let p(x) = 2*x**2 - x**2 - 3*x**2 - x**n. Let s(a) = a. Calculate p(s(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 - 5*m**2 - 5*m - 2. Let v be h(-2). Let b be (-33)\/(-15) + v\/(-20). Determine o, given that 0*o + 4\/3*o**b - 2*o**4 + 2\/3*o**3 + 0 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 65240\/245 + (-4)\/14. Let s = -254 + j. Solve s*d - 10 = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 56*r + 143*r + 5 - 52*r - 73*r as d*r + u and give d.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1014*c + 1012*c = 5*f - 19, 5*c - 55 = -5*f for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u - 11 - 65 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1041223 (base 5) to base 6.\nAnswer: 220441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 77 (b) 8 (c) -3 (d) 2\/3 (e) -7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 2 = 0. Suppose -v*g = -6*g + 16. Solve 2*d + 4*h = -0*h + 6, -12 = -g*d - h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11176000 rounded to the nearest 100000?\nAnswer: 11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - -13. Suppose -5 = 5*p + i. Let l be (-3)\/p - 14\/(-4). Solve -3*k - l = -10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*w - 4*w + 3*u, 5*w - 3*u = -10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -23686*o - 189494. Give l(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3 - 11393*k + 11363*k + 24. Let a = 21 - 23. Let d(f) = 0*f - 3*f + 6*f - 2. What is a*u(b) - 21*d(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**3\/5 - 42662*t**2 - 1129703120*t + 418044734600 = 0.\nAnswer: -53510, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (26 - 15) + (-2 - 5)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -2.7 (c) 4\/15 (d) 0.15 (e) 18 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 0, -3\/5, 3\/4, -0.06?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**4 - b + 2. Let z(d) = -29*d**4 + 5*d - 9. Let r(n) = -9*m(n) - 2*z(n). Find the second derivative of r(h) wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 1 (c) -1.6 (d) 54 (e) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -651 times 2\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -106*t + 116. Determine g(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 746834520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 44?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70881.\nAnswer: 3, 23627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 3*k - 14 = 0, -5*n - 3*k = -6 + 32 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -1\/3, -2, -0.4, -2\/3, -0.7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451123846 = -9*z - 119221846. Round z to the nearest one million.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jujj. What is prob of picking 3 j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 11. Let a = 3 - 0. What is the closest to 1 in 4, g, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14232 times -1.5?\nAnswer: 21348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 2:03 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421679 is divided by 233.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -126*f - 167*f + 328*f - 3045 for f.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/83)\/a)\/(a**(-3\/2)\/a)*(a**(5\/6))**(-4\/9))**(12\/7) assuming a is positive.\nAnswer: a**(10018\/5229)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 10 = 6*i. Let c(o) be the first derivative of -o - 5 - 1\/3*o**3 + 1\/4*o**4 - o**2. What is c(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10093904731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fddddyyywydddddyddd. What is prob of sequence df?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6 + 0)\/((-10)\/120). Let l = 8 - h. Solve -j = -0*d + 2*d + 1, 4*j - l = -4*d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (4 - (-4 + 16)) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 21*v**4\/10 + 832*v**3\/5 - 588141*v**2\/10 + 2408012*v\/5 + 1472184\/5 = 0.\nAnswer: -644\/3, -4\/7, 9, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 - -4) - (-1 + (-11 - -17)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -748*h = -753*h - 3*c - 26, -5*h + 5*c = 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*f + 2, 5*w - 54 = -4*f - 14. What is the greatest common factor of f and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a kilometer in meters?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/5)\/x)\/x*x*x**(2\/3)*x)\/((((x**(-6)\/x*x)\/x*x)\/x*x)\/x**(2\/7)) assuming x is positive.\nAnswer: x**(646\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f**2 + f**2 + 9*f**2 - 235471552035*f - 6*f**2 + 235471552035*f.\nAnswer: 19*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eei when three letters picked without replacement from eeeeedieeee?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*b = -0*y - 403, y - 431 = 2*b. Let j = y + -887\/2. What is the common denominator of j and -11\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 4*j + 37.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9048044 decades in centuries?\nAnswer: 0.09048044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 1957*l + 360708. Give t(206).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 62 = 4*f. Suppose 3*m = -2*d + 24, 2*m + 0*m = 4*d - 32. Calculate the smallest common multiple of (-1)\/(-2*2\/f) and d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3982711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01234045 rounded to 4 dps?\nAnswer: -0.0123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6492)\/(-344076) - 3605\/53.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6640 is divided by 162?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Suppose -5*w - z*c + 8 = c, -5*w + 4*c = -36. Suppose o + 171 = w*a, -2*o - 3*o = -3*a + 124. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 20.2. Suppose -165*y - 431 = 107*y + 657. Which is the closest to j? (a) -1\/4 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3*z = 12, 44*z - 42*z = 3*f - 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6554501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 15*b**2 - 12*b - 8. Let d be u(7). Suppose 5*t - 1 = 4*h + 6, -3*h - 4*t = -18. Suppose 3*r + 2*a = d, -h*r + 2*a + 407 = -a. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 31494 = y + 5177, -4*z = -4*y - 26292. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h*q**2 - 44*h*q - 127*h - 759*q**2 - 177 wrt h.\nAnswer: 2*q**2 - 44*q - 127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 - -100101?\nAnswer: 111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -136*o**2. Let t(g) = -21*g + 5. Let q(d) = -75*d + 18. Let n(l) = 5*q(l) - 18*t(l). Calculate n(j(z)).\nAnswer: -408*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3429 > -3429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11775 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1247556 is divided by 14639.\nAnswer: 3241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**5\/20 - i**4\/3 - 5*i**3\/6 - i**2\/2 - 15*i. Let w be b(5). Which is smaller: -3\/28 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*j + 5*j + 14561 = 0, 2 = 2*j. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49184*c**5 + 373*c**2 + 5*c - 2.\nAnswer: 2951040*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-189)*(-6)\/(-4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a - 3*a + 4*a + (-120*a + 59*a + 60*a)*(3 - 3 - 2) to the form m*a + z and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**2\/2 + 8*c + 56. Let x be ((-6)\/10)\/((-15)\/225). Let z(r) = -2*r + 17. Calculate x*q(j) - 4*z(j).\nAnswer: -j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(0 + 3\/(-9)). Let g be 6\/(-12)*(-1 + y). Let f = g + 2. What is the lowest common multiple of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*z - 2404 - 2799 = 0, 3*z - 3903 = 3*a. What is a rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 665864*q**2 + 665867*q**2 - 1331693*q**2.\nAnswer: 38*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**2 - 8496*z + 4511376 = 0.\nAnswer: 1062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 + 127. Suppose 7 = f - 21. Calculate the remainder when f is divided by (-1)\/(-4) + (q\/4 - 5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 22. Sort w, -1, -5.\nAnswer: -5, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1372 is divided by 1364.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 2804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 13) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 + 7*v)*((2 + 0 + 0)*(-3*v + v + 0*v) - 2*v + v + 2*v).\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -8. Let z(t) = 6 - m + 2*t - 5. Let y(p) = 12*p**2 - 16*p - 16. Let j(v) = v**2 - v - 1. Let d(c) = 16*j(c) - y(c). Calculate d(z(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-16 + 0) - (-22 + -60 + 58)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -17. Is -2 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(96\/(-18))*4\/(-9)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 4*j + 12*j**2 + j + j - 10*j + 6*j.\nAnswer: 12*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 133121798 to the power of 1\/2, to the nearest integer?\nAnswer: 11538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 494771839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + 3813\/(-3627)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1114, 2230, 3348, 4468?\nAnswer: 5590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 5. Let o(d) = -9*d**2. Calculate b(o(u)).\nAnswer: 81*u**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.01 (b) -0.2 (c) 0.5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l**2 + 8*l - 13. Let m = 5 + 17. Suppose 13 + m = -5*y. Let j be q(y). What is j rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(84) - 3*sqrt(84)*-4) + sqrt(84)))\/((sqrt(972) - sqrt(972)*-5 - sqrt(12))*6))**2.\nAnswer: 8575\/25281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/10 of a milligram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 - 7*v. Let c(q) = -2*q**2 - 4*q. Let z(r) = 5*c(r) - 3*u(r). Let i be z(1). Let d = 2\/53 - -41\/318. Is d smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**5\/3 - 10*y**4\/3 - 4*y**3 + 4*y**2\/3 + 14*y\/3 + 2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -457 - ((-49)\/7)\/(-7). Let j = d - -466. Solve j*l - 44 = -12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45210, 5, -2087 in ascending order.\nAnswer: -2087, 5, 45210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 x, and 2 d when four letters picked without replacement from odussddsxdsssdsosdd.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 120*m + 32. Let y(x) = -40*x - 11. Let d(n) = 3*b(n) + 8*y(n). What is the hundreds digit of d(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 35089. Let i(b) = 5*b. Determine i(g(k)).\nAnswer: -10*k - 175445","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o**(-2\/19)\/o)**(-9)\/((o**1*o*o**(-3\/2))\/(o**4\/o*o**(2\/31))) assuming o is positive.\nAnswer: o**(4137\/1178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5284 is divided by 151?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -351, -5, 8, -2\/3 in descending order.\nAnswer: 8, -2\/3, -5, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 39 (b) 10058 (c) -0.061 (d) -4 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -1121*q**4\/12 + 209*q**3\/6 + 258*q - 2. Let o(i) = 32*i**2 - 6*i. Give -6*f(y) - 209*o(y).\nAnswer: 38*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 12:43 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3064990 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 58 = 5*f, 4*f + 913*h = 889*h + 152 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13020.6 + 13021. Let x = 12.9 - 13. What is the smallest value in a, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 643bd (base 14) to base 3\nAnswer: 110022021101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.4 - -22.7. Let y = -0.38 - -0.08. What is the biggest value in j, y, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 14555288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 4:46 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -25*v**2 - 122*v - 445. Calculate j(-8).\nAnswer: -1069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 298713, 298712, 298711, 298710, 298709, 298708?\n\"Answer: -i + 298714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2 - 9*r. Let x(z) = -5*z**2 + 10*z. Determine 3*s(y) + 2*x(y).\nAnswer: 2*y**2 - 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 9) in base 10?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 - j - 1. Let o be m(-1). Which is greater: 5 or o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 3*n**2 + 3*n**2 - 12*n**2 + 4*n.\nAnswer: -5*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27775 in 3\/16, 5\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-206 - -184)\/((-2)\/(-27)*-1). What is the highest common divisor of 66 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssmm. Give prob of picking 2 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(sqrt(567) + 1))**2 + -5 + 2*(-1 + sqrt(567))*4*6.\nAnswer: 1404*sqrt(7) + 30619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/9)\/j*j*((((j\/(j*j**5\/j))\/j)\/j)\/j)\/j)\/(j**(-2\/13)\/j*j*j*j**(-5\/6)) assuming j is positive.\nAnswer: j**(-1927\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16578 and 1674?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 + 0*n**2 + 2*n**2 + (-n - 2 + 2)*(18 + 7*n - 18) to the form l + i*n + s*n**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*b - 697 = -61*b + 4503 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i + 2 = 0. Let z be 2 - (i - (3 - 2)). Suppose 2*x = -2*p + 260, p - 266 = -z*x - 3*p. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 1\/2, 327, 0.3, 26, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8381, -16661, -24943, -33227, -41513, -49801?\nAnswer: -58091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 m, and 1 f when four letters picked without replacement from fgimffffjfkfmf?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -250595*k + 28066643. Determine x(112).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -8. Let k = l - 4. Suppose 3*j + 0*g = k*g + 46, -g - 5 = 0. Calculate the remainder when 34 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408.2937 rounded to the nearest ten?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2350712 and 8.\nAnswer: 2350712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**5\/2 + 489*i**4\/2 + 29211*i**3 - 1442237*i**2 - 514723767*i\/2 + 17408514321\/2 = 0.\nAnswer: -197, 33, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q - 8*q + 9 - 9 as k + t*q and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f*i**3 - 9*f*i**2*x + f*i*x - 298*f*x - 5*i**3*x + 601*i**3 - i**2*x + 21*i**2 - 2*i*x wrt i.\nAnswer: -18*f - 30*x + 3606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2*u)\/(u*u\/(u**(-3\/8)\/u)*u)*(u*u*u**3*u)\/u**(-2\/13) assuming u is positive.\nAnswer: u**(497\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**4 + 42*s**3 - 189*s**2 - 1572*s - 1344 = 0?\nAnswer: -16, -4, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 732.288 micrograms in grams?\nAnswer: 0.000732288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from {i: 1, c: 1, o: 2, u: 4, m: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f. Suppose 5*d = -1 + 6. What is the remainder when (13 - -59) + d*-1 is divided by m(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -252 - -259. Solve -5*g + 7*u - 3*u + w = 0, 0 = -4*g + 5*u + 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.48695 - -25.5. What is g rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*x - x. Suppose -6*u + x = -11. Solve -3*r = -2*w, 0 = -0*r - 3*r + u*w for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:42 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3275 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 7*h**2 - 6*h + 4. Let u = -40 - -34. Calculate the smallest common multiple of o(u) and (1\/2)\/(2\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1952\/41895 - 2\/931. Let x(l) = -l**3 + 3*l**2 - 3*l + 3. Let n be x(2). Let s = n + 0. Is r less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m = -33*m - 60 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 55*u**4\/12 - 3*u**3\/2 - 3*u**2 + 196*u. Is l(-4) a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3571 or 5700?\nAnswer: 5700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lsss when four letters picked without replacement from {d: 3, l: 4, w: 1, s: 11}?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m. Let l(f) = -f**2 - 133724*f. What is l(c(d))?\nAnswer: -d**2 + 133724*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/(-276) - 38*18\/48?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32624100 to the nearest one million.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**4 + 2*g**2 + 81*g + 9016.\nAnswer: -8*g**3 + 4*g + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5382 is divided by 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from pwzwzzzwzw.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c*c\/c**(-3))\/c))\/c)\/c**(-1)*c\/(c\/(c*c*c*c**(1\/8)))*((c**(-5)*c)\/c)\/c)**(17\/2) assuming c is positive.\nAnswer: c**(-799\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-3) + 4\/(-6). Let x = 5 + -5. Let s(i) = -i + 2*i + x - 1. Let m(w) = -w**2 + 5*w - 2. Calculate c*s(k) + m(k).\nAnswer: -k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 - 10*o**3 - 16*o**2 - 8*o.\nAnswer: -2*o*(o + 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -1)\/(-5 + 4). Let d(i) = i + 3. Let b be d(0). Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 7. Suppose -u - 252 = -5*u. What is the greatest common factor of z and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 28, 32, 5 in descending order.\nAnswer: 32, 28, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 304.9 - 323. Round f to zero decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 137151, 137152, 137153, 137154?\n\"Answer: g + 137150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 4*n + 2*n)*(4*n - 4*n + 2*n**2) - 5*n**3 + 5*n**3 - n**3 - 5*n**3 + 5*n**3 + 4*n**3 + 3*n**3 - 5*n**3 + n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/7 (b) -4.50399 (c) 1\/9 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o + 6. Let g be h(1). Suppose 3*x - 14 = -5, 3*x - 1 = g*l. Solve -38*s - l = -42*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52040371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 5. Let n be (s - 3)*56\/(-4) + -4. Let i = n + -49. Solve i*v = 7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in -1\/15, -1\/3, 7\/6, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 4\/41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40d7 + -77d?\nAnswer: -4876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3195458240 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10\/97, -0.4, -2.77?\nAnswer: 10\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114140 and 1317?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*l - 14. Solve -a + 0 = -l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/19 + -100\/133. Let t = 1837 + -1838. Put b, 2\/9, t in decreasing order.\nAnswer: 2\/9, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*q - 31*q - 16*q)*(1 - 2*q**4 - 1) + (6*q**4 - 2*q**4 - 2*q**4)*(2*q - q - 3*q) + 0*q**5 - 4*q**5 + 2*q**5.\nAnswer: 158*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -71, -805, -2773, -6593, -12883, -22261, -35345, -52753?\n\"Answer: -103*j**3 + j**2 - 16*j + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3753 or 3755?\nAnswer: 3755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4065 at most 4065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 1\/4*w**3 + 0*w - 46 - 3\/20*w**5 + 1\/24*w**6 - 1\/4*w**2 + 1\/16*w**4. Determine z so that m(z) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/52832 and -133\/234.\nAnswer: 475488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**3 + 329*s**2 + 332*s**2 - 661*s**2 + 18*s**3.\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*y - 65342 = 17785, -24*y = 24. What is v rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.28 + -0.28. Let n = 0.26 + h. Let k = -10.15 + 8.15. Which is the nearest to n? (a) -6\/11 (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 4\/9, 4, -0.2, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-9))\/((-4)\/(-6)). Let m = -421 + 428. Sort 1, m, i, 2.\nAnswer: i, 1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -705, -694, -669, -624, -553, -450, -309, -124?\n\"Answer: s**3 + s**2 + s - 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 797 + 207\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + o + 6*o)*(0*o + o + o) + (-2*o + 2*o - 6*o**2)*(2 + 10 - 1).\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38, -58, -98, -164, -262, -398, -578?\n\"Answer: -l**3 - 4*l**2 - l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457508 rounded to the nearest one thousand?\nAnswer: 1458000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 3*j + 7 = s - 18*s + 86, 4*s - j = 48 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -137\/20*d**5 + 0*d**4 + 0 + 27*d + 0*d**3 - 89\/2*d**2. Find the first derivative of a(j) wrt j.\nAnswer: -411*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198\/42 + (-4)\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, g: 1, p: 3, k: 2}. Give prob of picking 1 g and 2 k.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, z: 2, b: 1, r: 4, o: 1, v: 2}. Give prob of picking 1 z, 1 p, and 1 o.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 12*v + 223. Let p be t(22). Suppose 31*l = 34*l - p. Let u(g) = 3*g + 2. Let k(z) = -1. What is l*u(s) - 2*k(s)?\nAnswer: 3*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -6*m + 68. Suppose b - 5 = m. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 1421*c**2 - 4*c - 2. Let z be t(-1). Let q = z + -946. What is the common denominator of ((-4)\/36)\/((-51)\/q) and 59\/30?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56082343 to the power of 1\/2, to the nearest integer?\nAnswer: 7489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -943, -585, -369, -295, -363, -573?\n\"Answer: -71*g**2 + 571*g - 1443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 24971581?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 11, h: 2}. What is prob of sequence hiih?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 2*j**3 + 6*j**3)*(0*j + 2*j - 4*j).\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11211 + -110323?\nAnswer: -55112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -3c2?\nAnswer: 3c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/(78\/16 - 3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -337\/66413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**5\/300 + 149*q**4\/30 + 44402*q**3\/15 + 2*q**2 + 96. Factor a(k).\nAnswer: (k + 298)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26850, -26567, -26284, -26001, -25718, -25435?\nAnswer: -25152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0509 - -0.07?\nAnswer: 0.0191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 6, -2, -12, -24, -38, -54?\n\"Answer: -q**2 - 3*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95 (base 15) to base 9.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.11*-3\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5303, -5305, -5307, -5309, -5311, -5313?\n\"Answer: -2*i - 5301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - 0.1. Let o = k - -2.3. Let n = 3 - o. What is the nearest to 2 in 0.4, n, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**3*j*j*j\/j**31)**(-5) assuming j is positive.\nAnswer: j**115","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 720 and 8064.\nAnswer: 40320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - o**2 - 163*o + 895. What is w(9)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**2 + 25*q - 39. Give f(6).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14102?\nAnswer: 2, 11, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6 - 11\/3. Let k be (3 + -1 - z) + -2. Let p(v) = -v + 2. Let t be p(k). Put t, 3, -1 in descending order.\nAnswer: 3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17966 = 159*q - 32 + 4962 for q.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 8 = -4*t, 3*t + 24*k - 22*k = 16. Solve 8*y = -t*m + 4*y + 12, -3 = -5*m + y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + m**2 + 22*m + 1. Let y(g) = -8270*g**3 + 4*g**2 + 88*g + 4. Give -4*b(s) + y(s).\nAnswer: -8266*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3556397021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*j**4 + 10*j**4 + 105*j**4)*(0 - 2 + 1) + 0*j**4 - 4*j**4 + 5*j**4.\nAnswer: -169*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**8\/8960 + t**7\/1120 - t**6\/320 + t**5\/160 - 2*t**4\/3 + 12*t. Let r(m) be the third derivative of a(m). Factor r(v).\nAnswer: -3*(v - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27026 (base 8) to base 9.\nAnswer: -17158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 3*b**2 - 3*b - 3. Let j(m) = m**3 + 4*m**2 - 6*m - 7. Let s be j(-5). What is u(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*u = -49*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3519 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 0.5 (c) 0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 5:43 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101013 (base 5) in base 16?\nAnswer: 13de7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*sqrt(48) - (4 + 2*sqrt(3))**2).\nAnswer: -160*sqrt(3) - 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 1)*(-221 + o + 221 - 3*o)*(77*o - 169*o - o) as r*o + w + a*o**2 and give a.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91 - (1 + -1) - (9694 + -9662)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 916.3192cm to kilometers.\nAnswer: 0.009163192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a day in seconds?\nAnswer: 41472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44313 smaller than 44354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9 - (-22 + (8 - -4)). Let t(k) = -265606*k**2 + 1 - 1194393*k**2 - 2. Let a be t(z). What is a rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 - -78. What is the remainder when 47 is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22 - 18?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*(sqrt(22) + (sqrt(1782) + -1*sqrt(1782) + sqrt(1782) - sqrt(1782))))\/((1*(sqrt(120)\/sqrt(5) + sqrt(24)))\/sqrt(12)).\nAnswer: -4 + 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**3\/3 - 3*j**2\/2 + 3*j. Let s(b) = b + 1. Determine o(t) + 3*s(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60986.\nAnswer: 2, 30493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, s: 4}. Give prob of picking 4 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2723742 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1166728 minutes to milliseconds.\nAnswer: 7000.368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + a - 64, -3*o + 3*a = 2*a + 47. Suppose 5*k + 93 = -37. Let z = o - k. Calculate the remainder when 32 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (16 + -38) - (25 - 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 + 3*r + 14. What is s(-3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 335*k**5 + 1206*k - 4?\nAnswer: 6700*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 4021*s**2 + s - 4236*s**2.\nAnswer: -8257*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grtb when four letters picked without replacement from {r: 1, b: 1, t: 2, g: 2, c: 4}.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.2. Suppose -5*b = 20 + 55. Let y be 3 - b*(-5)\/21. What is the closest to g in y, -5, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*j - 201809 + 689505 = 0. List the prime factors of j.\nAnswer: 2, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1 + (45 - 33 - 27)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 + 8*d**2 - 3856*d + 369. Give q(-46).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 3*v + 7. Let z be p(4). Is (-2 + -1)*(-5094)\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4755, -37821, -127573, -302355, -590511, -1020385, -1620321, -2418663?\nAnswer: -3443755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 8*j**2 + 339*j + 128. Let o be r(-42). Let q(h) = 2*h - 8. Let d be q(6). Determine s so that 0 + 0*s + 2\/7*s**o - 2\/7*s**d + 0*s**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 11*y + 20. Let u be k(3). Suppose f + 48 = u*n, -5*f - 35 + 45 = 0. Calculate the remainder when 96 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/22 - 268940\/1246729.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17\/12, -8, -6.3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 11*f. Let a(u) = 143*u**2. Determine a(o(i)).\nAnswer: 17303*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p. Let h(t) be the third derivative of 17*t**5\/60 + 17*t**4\/24 + 1723*t**2. What is h(v(s))?\nAnswer: 17*s**2 + 17*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1584 and 352?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7003 = o - 8758. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 e when four letters picked without replacement from {s: 2, o: 1, e: 3, l: 4, t: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-1 - 6\/(-3)). Let t be -5*(m\/(-3) + 0). Let r = 5 - 5. What is the third biggest value in t, r, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10*(-4)\/48*-66)\/((-9)\/(-135)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 130 + -265. Let p = 3.2871 - -132.3829. Let a = q + p. Round a to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494648 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y**2 + 10*y - 1. Let k be x(-5). Suppose 3*b - 66 - k = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*s + 3*b, -12*s + 42 = -8*s + 3*b. Solve s*g = 41 - 5 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -2 (c) 0.4 (d) -72 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 180240*p + 3424564. Determine q(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + y + 45. Let a be j(6). Let m(d) = 2*d + 38. What is the units digit of m(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -0.068, -4\/7, 0.3, 10\/7 in descending order.\nAnswer: 10\/7, 0.3, -0.068, -4\/7, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87686 is divided by 10953.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 55 - 22 = 0. Let d = h - -32. Suppose 3*p - d - 18 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1482 is divided by 95?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1212)\/(-1428) + (-4)\/28. Which is the third smallest value? (a) 0.4 (b) 0.2 (c) r (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2086 + -2082. Let v(h) = 4*h - 11. Give v(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169 + 1641 = -181*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5311202741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*q - 5423 = 4793 - 11026 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21607.255 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1588 - 694. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38045?\nAnswer: 5, 7, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 38*o + 1. Let s(z) = 4*z + 97. Let v be s(-28). What is the remainder when r(2) is divided by 5\/(v\/3) - (-1 - 16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 3, 4, 1, 2531, 11 in descending order.\nAnswer: 2531, 11, 4, 3, 1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2771*h**2 + 5*h + 6. Let v(l) = -2766*l**2 + 4*l + 4. Calculate -3*r(n) + 4*v(n).\nAnswer: -2751*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2*p - 4 = 0, 11*p - 6*p - 2 = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r**2 - 4. Does 18 divide z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v. Let r(f) = -817539*f. Calculate l(r(z)).\nAnswer: -817539*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1806 + 866 = 0. Suppose 176 - u = -2*c. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -780*o = -285*o + 68*o + 11823 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2899, -5978, -9419, -13402, -18107?\nAnswer: -23714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lylylyyyylllllly. Give prob of sequence ylly.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2774?\nAnswer: 2, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + o - 1. Let a be d(1). Let z = a - -1. Suppose -3*y - 1 = -3*g + g, -g + 14 = z*y. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 less than 377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219908183?\nAnswer: 11, 53, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7930 or 7812?\nAnswer: 7930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**2 - s + 1. Suppose 3*q + 2*y + 16 = 0, 11 = -2*q - q - y. Let j be (6\/9)\/q*-3. Give g(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -205240, -206145, -207040, -207919, -208776?\n\"Answer: y**3 - y**2 - 909*y - 204331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**2 - 82*x + 4. Calculate h(20).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3 + 24*y**2 - 2452*y - 4968 = 0. What is y?\nAnswer: -27, -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 14*h - 1736. Let s = -214 + h. Sort -7, -2, -1, s.\nAnswer: -7, -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*c - 3*r, -16*c + 17*c + r - 9 = 0. What is the remainder when 79 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/9 + 14\/147*-1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49455 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5107, -5098, -5015, -4822, -4483, -3962?\nAnswer: -3223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -16. Let d be 38\/84 + 2\/v. What is the third biggest value in -0.2, d, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 647176572.\nAnswer: 2, 3, 7, 61, 42101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232321213 (base 4) to base 8.\nAnswer: 567147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = j - 4*j. Suppose f - 5 = 0, 2*f = 3*c + 7*f - 61. Let d = c + j. Which is greater: d or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 5. Let r = -12 + 7. Calculate a(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 9) in base 12?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89224307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2. Let o(g) = -150*g**2. Determine l(o(a)).\nAnswer: -67500*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*c = -394*c + 136*c + 145*c - 5202 for c.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from gggyyggggggg.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -233\/6 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-65*84\/560)\/1)\/(((-9)\/(-48))\/1)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001281 to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 16. Let w(j) = -j - 4. Let t be w(-7). Suppose 5*d - t*d - 18 = f. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 53. Let g = 816 - 420. Let l(b) = -g*b**2 + 0 + 4 + 393*b**2 + 2*b. Let i(z) = 3*z**2 - 2*z - 3. Calculate w*l(c) + 4*i(c).\nAnswer: 3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16395977041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-2 + 1 - (-4 + -3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 9.6, -2\/7, -2 in descending order.\nAnswer: 9.6, -1\/4, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 - 6021 + 6019 + y**2.\nAnswer: -y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 0.4 (c) 5 (d) 0 (e) -5\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4))**49\/(y**(-6)\/(y**(-2\/5)*y)))\/((y**(2\/7))**(-1\/3)*y**(-2\/27)\/y*y*y**(-3\/4)) assuming y is positive.\nAnswer: y**(-8941\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644 a factor of 332365932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 7*l - g + 2705 = 0, 5*g = l - 541. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63377.514ms in hours?\nAnswer: 0.017604865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -12 (b) 2\/13 (c) 0.097 (d) 150\/13 (e) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/88 and -1\/6024864?\nAnswer: 66273504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 4324707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 14*l - 4031. Give p(71).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w + 11 = -5*m, 2*m - 5*w = 4. Sort m, -2, 55 in descending order.\nAnswer: 55, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 527 - 8?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 5)*8\/2. Let z(v) be the first derivative of -v**4\/4 + 4*v**3\/3 + v**2\/2 - 4. What is the remainder when 5 is divided by z(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 0.29 (b) 2\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 644 - 444. Suppose 2*a + g = 6*a. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/5, 0.1, 0.5, -50544, -28?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 136*a**2 - 5*a - 90. What is the hundreds digit of c(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqciyc. What is prob of picking 1 y, 1 i, and 2 c?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 9:24 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 3*g + g - 15, -z - 4*g - 3 = 0. Let i be 4\/z + (-670)\/15. Let u = i + 48. Solve -w - 6 = -u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**4\/30 - 2*o**3 + 676. Solve v(a) = 0 for a.\nAnswer: -45, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 1 (c) -5.7 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1117 + 2.7500174.\nAnswer: 1119.7500174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16226 at least as big as 1671316\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 0*v**2 - 137\/20*v**5 + 73\/6*v**3 - 6*v - 2 + 0*v**4. Find the second derivative of b(r) wrt r.\nAnswer: -822*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1.125538 minutes?\nAnswer: 67.53228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 15611 (b) -1\/7 (c) -5 (d) -3\/5 (e) -22 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 135*a. Let b(i) = 7*i**2. Calculate o(b(u)).\nAnswer: 49*u**4 + 945*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -79. Suppose 0 = 3*g + 3*n - 279, 2*g - 151 = -3*n + h. Let l = -58 + g. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -92 (b) -0.1 (c) 2\/5 (d) 3 (e) 3\/2687\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3418 and 15014.\nAnswer: 25658926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 4, 2, 6 in descending order.\nAnswer: 6, 4, 2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111853 - -168900. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 874394517 to the power of 1\/3, to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/16)\/(3\/(-3))*32.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3107481 smaller than 3107482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1\/3, 3, -3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**4\/12 + 23*h**2. Let y(q) = -3*q - 4*q + 3*q. What is i(y(r))?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6103 + 6106 + 3*b + 54*b - 12209.\nAnswer: 57*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.39299 + -1409\nAnswer: -1408.60701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7140841.\nAnswer: 7140841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430070 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dssdssssddssssddsss?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 9199*f + 3458916. Determine l(-376).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(252) + -3 + sqrt(252) + 4)**2.\nAnswer: 24*sqrt(7) + 1010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 141215664 (base 7) to base 5\nAnswer: 4324332232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 + 7113*z - 56937. What is o(8)?\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3156 by -172.\nAnswer: 789\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13103 is divided by 512.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 274089 to the power of 1\/2, to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18291405 is divided by 457.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-156.888.\nAnswer: 470.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2277 (base 12) to base 14.\nAnswer: 157d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4052 divide 514624260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -265489*v - 2717*v**2 + 265489*v to c*v**2 + r + j*v and give c.\nAnswer: -2717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from vvvvvnn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 6:38 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**2 - 9*x + 4. Let d(q) = 6*q**2 - 8*q + 5. Let u(h) = 6*d(h) - 5*m(h). Let f be u(7). Let y = -18 + f. Solve 0*i - y = -4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*o = 39630, f - 168*o = -166*o + 7938. Is f a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, 78, -4, 3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 43*t - 385 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2\/15 (b) -1\/4 (c) -0.2 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 12712366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 630 + 1515 = -t, 711 = o + t. Let u = o + -13. What is the remainder when u is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - 3*1*sqrt(114))\/((sqrt(48)\/sqrt(2))\/sqrt(4))*-6.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 83\/2130 in 0.5, 1, -161?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j**2 - 30*j**5 - 43*j**3 - 29*j**3 + 85*j**4 + 17*j**3 = 0. What is j?\nAnswer: 0, 1\/3, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, -0.108, 1\/8, -5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61 in 12060, 0.15, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3))\/((-8)\/(-3516)). Let w = -199 + t. Is 17 a factor of (w\/4)\/(21\/42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.099 - -1.901. What is the nearest to 1 in o, 3, -3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-32)*58\/87. Which is the nearest to -0.2? (a) 59 (b) 0.1 (c) f (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 1826 = 1693 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(192)*1*-5 + -1 + sqrt(192) + 4)**2 + 4)*-4*2.\nAnswer: -3072*sqrt(3) + 49360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -0.2, 1, -2, 116, -1 in increasing order.\nAnswer: -2, -3\/2, -1, -0.2, 1, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 689244.1 millilitres in litres?\nAnswer: 689.2441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140 + 60 - 110) + -113.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, u: 1, i: 1, z: 1, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1558538 to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 370 + 147. Calculate the highest common factor of 94 and v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7477 + -12526. What is the hundreds digit of 16\/(-6)*s\/68?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - k + 41 = -2*k, 36*h - 481*k = -476*k - 182 - 162 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 30043 * 2\nAnswer: 60086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 5 = 2*m. Suppose -3*r + 6 = -p, 3*p - 3*r - m*r = -6. Solve -2*o + g + 4 = o, -4*g = -p*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*h - 89 = 52, -3*b - 132 = -2*h. Let x = -19 - b. What is the remainder when x is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 + 0 - (7 - (-4 + 3 - (70 + -72)))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40081\/6 - 6701. What is the common denominator of t and -25\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 0\/(-7))\/(-47). Which is smaller: 2\/11 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1624\/808 - (0 - -2). Let t = -107\/606 + r. Put t, 1\/4, -1\/2 in decreasing order.\nAnswer: 1\/4, t, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2. Let g(v) = -3*v. What is g(j(c))?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 794190 and 12574675?\nAnswer: 75448050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10637 and 0.2?\nAnswer: 10636.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-33)*b)\/(b**32*b)*b**(-13)*b\/(((b*((b**(-12)*b*b)\/b)\/b*b*b)\/b)\/b) assuming b is positive.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 - 5 = 0. Let r = 216 + -219. Let b = j - r. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 523709 and 118441.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 1:31 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3\/6 + 29*g**2\/2 + 22*g\/3 - 602 = 0.\nAnswer: -86, -7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 126*k**4 - 7 wrt k?\nAnswer: 504*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**2 - 6*s + 5. Let a(v) = 3*v**2 - 21*v + 5. Calculate -3*a(r) + 2*i(r).\nAnswer: -r**2 + 51*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*n**2 + 1137*n + n**2 - 1137*n)*(4 - 6 - 1) to the form t + w*n + d*n**2 and give d.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/11, 0.0158, 4\/3833, 3 in descending order.\nAnswer: 3, 2\/11, 0.0158, 4\/3833, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 799*a + 771*a - 1474*a + 773*a + 281*a.\nAnswer: 1150*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 364577521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**4*v)\/(v\/v**(-3))*(v\/(v\/v**(-2\/5)*v*v*v))**25)\/((v\/(v*v**4))\/v**(-4)*v\/(v**1\/v)*((v*v**(-2\/11)*v*v*v*v)\/v)\/v*v) assuming v is positive.\nAnswer: v**(-966\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -100100010101001?\nAnswer: 100100010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) 5 (c) 704487 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b. Let r(c) = c**3 - 6*c**2 - 2*c + 45. Let k be r(4). Let w(f) = -5*f - 1. What is k*i(q) - w(q)?\nAnswer: 10*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 10 = -4*s - 8, -5*s + 5 = 3*o. Let b be 7*(-2 + 7) + 5 + s. Let y = -30 + b. Solve 0 = -2*f + 3*n - 2*n + 2, -y = -2*f - 2*n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17.53 and -0.5?\nAnswer: 8.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 9 (c) 5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1079, 4303, 9673, 17189, 26851, 38659?\nAnswer: 52613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81.37 + 66.073. What is w rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u = 36*u - 396. Let r be (-120)\/(-64)*(-3)\/(u\/8). Which is the biggest value? (a) -0.02 (b) 4\/17 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1123 - 133836725.\nAnswer: -133837848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/21 - 2*n**2\/3 - 2*n\/21 + 2\/3 = 0 for n.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11282 - 372266\/33. Let a = k - -1043\/528. Calculate the common denominator of 7\/2 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 9*s**2 - 7*s - 58. Give o(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1799, -1794, -1777, -1742, -1683?\n\"Answer: k**3 - 2*k - 1798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**3*u**3 - 39369037*d**3*u**2 + 115*d**2*u**3 + 10*d**2*u - 2*d*u**3 - 88*u**3 wrt d.\nAnswer: 12*u**3 - 236214222*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -775*s + 2 - 2 - 1404*s - 467*s as f + j*s and give j.\nAnswer: -2646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 624652 and 77?\nAnswer: 6871172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 - 2*y**2 + 3*y**2 + y**2 - 22*y**3.\nAnswer: -22*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*18*6\/4. Suppose 5*a - 2*a + t = 0. What is the remainder when 15 is divided by 2*12\/(a\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -84?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2092*f*k**3*z**2 - 4*f*k**3 - 4*k**3*z + 622*k**3 + 2*k**2*z**2 + 2*z**2 wrt f.\nAnswer: 2092*k**3*z**2 - 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghi when three letters picked without replacement from {h: 8, i: 1, g: 1, z: 2, m: 1, k: 3}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2548378534?\nAnswer: 2, 13, 19, 41, 125821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6450947 by 59183.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k - 21*k + 6*k + 0*k + 86 - 2*k. Determine d(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -135*a**5 + 42*a**5 - 87*a**5 + (-3 - a + 3)*(11 - 7 + 3)*(-2*a**2 - 5*a**4 + 2*a**2).\nAnswer: -145*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -101, 2\/93, -1.3?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.1 - -18. Let m = -7 + 11. Let l = m - 2. Sort l, 0, t in ascending order.\nAnswer: t, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1313915, -2627833, -3941751, -5255669, -6569587?\n\"Answer: -1313918*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from {a: 11, w: 2, x: 1, u: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15124.3 and 0.23.\nAnswer: -3478.589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5713, -5716, -5707, -5680, -5629, -5548, -5431, -5272?\nAnswer: -5065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.71 + 0.09. Let y = d - 2.8. Let o = -2.11 - y. Round o to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.036 + 2.736. Let j = w - -2.3. What is the biggest value in -3, j, -0.06?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (6 + -8) - (-5 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173834 is divided by 794?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 25, -4113 in descending order.\nAnswer: 25, -68, -4113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3240531 or -3240532?\nAnswer: -3240532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d + 5*d - 5*d. Let v(f) = -2087*f + 2087*f - 4*f**2. What is v(r(a))?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111000032 (base 4) in base 14?\nAnswer: -90c58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c**3 - c**2 + c**2)*(2*c + 2*c - 6*c) + 0*c**4 + c**4 + 0*c**4)*(-88 + 49 - 34)*(c - 3*c + 3*c).\nAnswer: 73*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 u when four letters picked without replacement from bbubbbbbbuubbu.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*o + 36, 4*o + 2*b + 1 = 7. Let i(p) = -o + 4 - 16*p**3 - p**2 + 3*p**3 - p. What is the units digit of i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -18*k**2 + 0*k - 1\/2*k**4 + 0 - 1\/60*k**5 + 5\/2*k**3. What is the remainder when 39 is divided by h(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 4, -2, 1, -34 in increasing order.\nAnswer: -34, -2, 1, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91608708 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1105178 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 - 2 = 0. Let w(i) = i**3 - 2*i**2 + 3*i. Let c be w(2). Let l(r) = -r**3 + 5*r**2 + 5*r + 5. Let v be l(c). Is v greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rupmrrmmurplrpuppwr. Give prob of sequence pwm.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 40 = -0. Let j(x) = -x**3 - 9*x**2 - 2*x - 12. Let z be j(-9). Let w(f) = f + 7. Let g(v) = v + 8. Let y(q) = o*g(q) + z*w(q). Determine y(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/d**6))\/((d\/((d**4\/d*d)\/d))\/d)*(d*d*d**(1\/4)*d)\/d*d**(-2) assuming d is positive.\nAnswer: d**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -263 (base 9) to base 2.\nAnswer: -11011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by 2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdjseekud. What is prob of picking 1 d and 1 s?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/5, -2\/9, 12 in descending order.\nAnswer: 12, -2\/9, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v**(2\/7)*v)\/v)*v)**15)**(-6\/31)\/((v\/(v\/v**2*v)*v)**(4\/5)*v**(-5\/4)*v**(-2\/7)) assuming v is positive.\nAnswer: v**(-9279\/4340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 33. Let n = -1 - -5. Find the third derivative of 3*l**4 + 0*l**4 - 3*l**n - p*l**6 + 12*l**2 wrt l.\nAnswer: -2400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g + 3*h = 3, -5*g + 3*h - 9 = 0. Calculate the smallest common multiple of (-134)\/(-14) - g\/7 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 4. Let d(k) = -2*k - 9. Let l(g) = -4*d(g) + 9*z(g). Let v(q) = -2*q. What is l(v(f))?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -76244 - -0.26997.\nAnswer: -76243.73003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7 = w - 0*w, 0 = -5*c + 20. Let j(n) = -9*n - 19. Let u(a) = -5*a - 9. Let v(z) = -3*j(z) + 5*u(z). List the prime factors of v(w).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25657 smaller than 25777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 = -4*d. Suppose -2*s + 14 = 3*l - s, -3*s = -d*l - 9. Suppose l*q - 2*c = 178, -4*q + 264 = -0*q + 4*c. List the prime factors of q.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from {l: 2, w: 1, g: 2, z: 1, f: 1, k: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*c = 192*c - 35378. What are the prime factors of c?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -24584.\nAnswer: -1\/12292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -452481 and 2.\nAnswer: -904962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a + 28. Give l(-11).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 9*l**2 - 8*l + 42. Let g be m(5). Let c = g - 179. Is c a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**5\/30 + 97*z**2 - z. Let s(n) = 42*n**2. Give s(l(w)).\nAnswer: 168*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1078 less than -1078?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 70?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -13 + (5 - 3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 111 (b) -1 (c) 3.791\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 113322 (base 4) to base 3\nAnswer: 2002200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 936\/39989 or 1?\nAnswer: 936\/39989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2653, -21065, -71037, -168349, -328781, -568113?\n\"Answer: -2630*x**3 - 2*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5 + 5 + (sqrt(2736) - (-4 + 3*sqrt(2736))) + -2*sqrt(2736) + 1 + 0)**2.\nAnswer: -1440*sqrt(19) + 44003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7627357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**5 - 4 + 4)*(0 + 2 + 0)*(3 + 4 - 5) - 4*x**4 + 4*x**4 + 2*x**5.\nAnswer: -6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -64, -34, 44, 194, 440, 806, 1316?\n\"Answer: 4*a**3 + 2*a - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 1256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -430 (base 7) to base 4.\nAnswer: -3121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/5 and 101\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.9 less than 3.7?\nAnswer: -41.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 - 5*z**2 - 4*z. Let a be b(-3). Let v(y) = -y**2 + 12*y + 7. Let n be v(12). Let s = a - n. Calculate the highest common factor of 56 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 2*u + 314 - 324, 4*z = -3*u + 19 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 12:00 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 324480 - 18*z - 324480. Suppose 0 = -5*t + 2*b - 9, t - 1 = -4*t - 3*b. Let d be a(t). Calculate the highest common divisor of 27 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Let g(a) = -7*a**3 + 0*a**3 + 2*a + 1 - a**k - a - 2*a. Is 14 a factor of g(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -18, 0, 18, 36?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*l = 21, -4*l + 20 = -0*l. Calculate the remainder when 10 + 0 + (-5)\/5 is divided by (0 - b) + (5 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smssmssmssm. What is prob of sequence smms?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 35659?\nAnswer: 3565.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqqx when four letters picked without replacement from xqyvqxdqxqjqyqd?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/406987 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 19. Let l be b(-28). Solve l*v - 3*v + 24 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4528, 9042, 13578, 18148, 22764?\n\"Answer: 2*d**3 - d**2 + 4503*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 284 - 113. What are the prime factors of a?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6505891547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*p - 10725 = -403*p + 15*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*64\/(-120)*1.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, d: 1, c: 2, q: 4}. What is prob of picking 2 c and 2 e?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12321, -2\/5, 2, 0.4 in decreasing order.\nAnswer: 12321, 2, 0.4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**1\/w*w)*w*w**(-1\/2)*w*(w**(-2\/5))**(-4\/7))\/(((w**4*w)\/w**(-3\/4))\/(((((w*w\/w**6*w*w)\/w)\/w*w)\/w)\/w*(w*w**(4\/3)\/w*w)\/w)) assuming w is positive.\nAnswer: w**(-2809\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 702.489 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 22*x**2 + 22*x - 3. Give z(21).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 5*z**2 - z - 15. What is l(5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -2\/5 (c) -1\/4 (d) -3 (e) -0.24 (f) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8740 and 380.\nAnswer: 8740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 490994807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-8))\/(2\/(-24)). Let x be (2 - 3 - -1)\/(8 + i). Solve x = -4*g + 3*m + 3, -2*g + 0*g = -2*m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) -1.8 (b) -0.1 (c) 117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.4 + 3.53. Let x = l - 0.186. What is x rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1275 times 1964.8\nAnswer: 2505120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 25. Let o be -6*((-5)\/2 - -2). Suppose -5*x = -u + 44, -o*x + 2*x + 4*u - 5 = 0. What is the tens digit of v(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 29*w + 91. Calculate u(32).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1632871.92 to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 17 = 3*x + 10*m, x + 9 = -4*m. Solve x = -r - 2*y, -2*r - 4 = 2*y - 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 13 - (0 - (3 - 6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-21))\/(-5)*(-3)\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 1 + 31. Let r be (16\/s + -2)*6. Suppose 5*o = 3*i - 5 + 551, 3*o - r*i = 321. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 167*y - 4721. Calculate l(-131).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 0 - 3)*-101. Let k be ((-10)\/9)\/5*-454. Let t = u - k. Is -1 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c = -62*c + 93*c - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*a - 15*a + 280 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -166*v - 1497. Determine m(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 10094 = -4*p + 10102, -10*x + 20 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -128, -201, -274, -347, -420?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1386, -2797, -4208?\nAnswer: -5619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + c)*(6*c**3 - 5*c**3 + 5*c**3)*(c + c - 6*c) + 4*c**5 + 4 - 4.\nAnswer: -20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Suppose -u + 0 = -4. Let t be (u\/(-6))\/((-2)\/6). What is the closest to d in t, -3, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -9, -2, -4, 0.\nAnswer: -35, -9, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 7:24 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41 - -3) + (-19 - -26) - -14.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 10*b - 8. Let t be g(-6). Let q = t + 49. Let n = q + -8. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 11.02. Let d = -7.02 - o. Let k = -7 - d. Which is the biggest value? (a) k (b) -3\/8 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.346842 meters to millimeters.\nAnswer: 346.842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 186 = 9*l. Let b(a) = a**3 - 36*a**2 + 65*a + 102. Let v be b(34). What is the third biggest value in 3, l, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, f: 2}. Give prob of sequence cc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1275022 = 5*a - 3*t, -6*t + 3*t + 1274998 = 5*a. Suppose -2*y + 0*i + 101990 = -5*i, 0 = 5*y + i - a. What is y rounded to the nearest one thousand?\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-54))\/(18\/(-297))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*j - j - 21, 0 = -3*d + j + 9. Suppose 4*k - d = 5*u + 12, 16 = 4*k - 2*u. Suppose -m + 68 = k*v - 20, -v = -2*m - 22. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39398242 is divided by 3966?\nAnswer: 3964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 3*k**2 - 7*k - 6. Calculate u(6).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180162?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*z**5 - 68*z**2 + 168*z.\nAnswer: 60*z**3 - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) 4 (c) 0 (d) 1\/8 (e) -14839 (f) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 54 (b) -0.04 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.0145323 minutes?\nAnswer: 0.000242205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 106453, 212903, 319353?\n\"Answer: 106450*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3304\/3136 - 1)\/((-3)\/(-120)*(-1 + 3)).\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.4 (b) 18\/73 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34.93 + -35. Let o = -5.07 - d. Let k be 1*(2 - 5)*-1. Which is the third smallest value? (a) o (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**4 + 10*u**4 - 7*u**4 + (u**4 - 2*u**4 + 2*u**4)*(-2 + 2 - 1) + 2*u**4 + u**2 - u**2.\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -1347101545.\nAnswer: -1347101557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1)*f*f)**(4\/11))**50 assuming f is positive.\nAnswer: f**(200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -34 + 209. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 70 = 4*o. Suppose -4*v - 2*w = -o, -2*v = 2*w - 4 - 14. Suppose -v*b + 22 = -14. Calculate the smallest common multiple of b and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3222135 by 2385.\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 21 (b) -5\/4 (c) 9\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5030 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 31*h - 55*h - 2 + 21*h - 2*h**2 + 4*h**3. Give s(-2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4*14\/21)\/((-2)\/3). Suppose -5*b - 827 = -p*a, 5 + 5 = 2*b. Suppose -a - 517 = -5*t. List the prime factors of t.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + 2*u**4 - u**2 + (0*u + 5*u - 4*u)*(-u**3 + 2*u**3 + 2*u**3) + (4*u - u**4 - 1 - 4*u)*(-6 + 3 + 2)*(24 + 1 + 4).\nAnswer: 34*u**4 + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5632\/(-3072) + 133\/(-6)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 11 + 3 = 0. Let v(f) = 6*f + 8. Let q be v(a). Solve q*u - 5 + 1 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 10. Let r = h + -12. Does 34 divide 2\/(-3) - 1232\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 0.1 (c) -1\/2 (d) 75 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 7*l**2 - 37. Let s be v(6). Let g = 0 + 2. Let a(t) = 3*t**2 - 3*t**2 + 1 + 2*t**2 + g*t. Calculate a(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/19336 and -69\/729934.\nAnswer: 2919736","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -99253 (base 11) in base 12?\nAnswer: -6b440","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 - (-9 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -384 + 114. Round q to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94 by -4.\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4424442287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**5 - 595*a**4 + 9130*a**3 - 23770*a**2 + 22555*a - 7315 = 0.\nAnswer: -133, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1dd3b0 (base 15) to base 2\nAnswer: 101100100111111000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9842 + -9507. What is the remainder when v is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(510)\/(sqrt(10) + sqrt(160)))\/(sqrt(3) + (sqrt(60)\/sqrt(4))\/sqrt(5) - sqrt(3)).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 85, -169, 7, -5, 1\/2, 0.4 in descending order.\nAnswer: 85, 7, 1\/2, 0.4, -5, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 9 + 63 + 35 + -44.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9)\/l*l*(l**(-1\/2)*l)\/l)\/(l\/l**(1\/3)*l**(-7)\/l)*(l*(l*l\/(l**(-3\/7)\/l)*l*l)\/l*l**(2\/5))\/((l*l**(-1\/7))\/(l*(l\/l**(-1))\/l)) assuming l is positive.\nAnswer: l**(8837\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 36983379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.4328 to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -975 greater than or equal to -63371\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(1\/2)*c*c)\/c*c*c))**49*(c\/c**5)\/c*((c*c**(-4\/3)*c)\/c)\/c assuming c is positive.\nAnswer: c**(-773\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -24, -962 in descending order.\nAnswer: -9, -24, -962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**3 - 2 + 5*x + x**3 - 19*x**3 - 4*x + x in the form t*x**3 + v*x**2 + y + d*x and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + 6 + -4 + -17 + 26\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-4))\/(5\/10). Factor 3 - p*v**3 + 0 - 12*v + 5 + 7*v**3.\nAnswer: 4*(v - 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 + 0*h**2 + 0*h**2 + 7*h**3 + 15 - 15 + (-3*h**2 + 3*h**2 + h**2)*(-4*h + 0*h + 2*h) to n*h**2 + s + v*h + u*h**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 8827 and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 2 - 2 = 272*o. Suppose 3*v - 10 = 4*f - 2*f, 0 = 4*f + v + 6. Sort o, 3, 4, f.\nAnswer: f, o, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -4*g + 5*z, -194 = 3*g - 5*g + 2*z - 170 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 4)*(-t - t + 4*t) + t + 2*t - t)*(-424*t - 242357 + 242357 + (0*t + 4*t - 5*t)*(3 - 3 - 1) - 5 + t + 5).\nAnswer: -2532*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 467.1317ng to kilograms.\nAnswer: 0.0000000004671317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.95, 1, 1\/4, -0.5, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*k + 3 + 1 = 0, k - 4 = -2*n. Let c(u) = 3 - 3 + 2*u + 2 - n. Give c(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 48, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4)*m)**(18\/11)*m**(-2\/5)\/m**3 assuming m is positive.\nAnswer: m**(-149\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 2. What is the second derivative of -y*b - b - 4*b**2 + 0*b + 0*b wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2529043, -2529055, -2529067, -2529079, -2529091?\n\"Answer: -12*b - 2529031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 8 + 10*t**3 + (0*t - t**2 + 0*t)*(5*t - t - 3*t) + (t**2 + 0*t**2 + t**2)*(4*t - 2*t - 4*t) + 0*t**2 + 0*t**2 - t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-11 + (-15 - (0 - 5)))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8137509 and 379.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 19*n - 96. Is 6 a factor of q(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/4, 5, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2119803 and 38.8.\nAnswer: -82248356.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/4 and -49\/365.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3557793 divided by 3.\nAnswer: -1185931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {s: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47054923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 2*m + 1\/3*m**3 - 1\/2*m**2 + 2. Calculate the lowest common multiple of 16 and z(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 409991.7kg to grams.\nAnswer: 409991700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28 - 4?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 37795448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**5 + 16948060*q**4 + 16948058*q**3.\nAnswer: 2*q**3*(q + 1)*(q + 8474029)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 16*u - 10. Let k be (-4)\/(-2) - (-3)\/(-3). Let i be (-2 + 0)*(0 - k). Which is smaller: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44*r**2 - 4 + 145*r**2 + 357*r**2 - 18*r**2)*(3*r**2 - r**2 - 4*r**2) to the form g*r**4 + j*r**3 + s*r**2 + h + x*r and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 203*g - 63. Let r(p) = p - 15. Give c(l) - 4*r(l).\nAnswer: 199*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 103, 75, 33, -23, -93, -177?\n\"Answer: -7*y**2 - 7*y + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/307 or 1?\nAnswer: 4\/307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 26, -13, -108, -283, -562, -969, -1528?\nAnswer: -2263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 19 = -4*g, 15*m + 4 = 4*g + 11*m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/41761755 and -167\/11931930?\nAnswer: 83523510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78235 + 39163 + 39146 = 2*c + 4*a, 0 = -3*c + 4*a - 69 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-27)*21 + 10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84497636 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5038988573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 255065*l**4 - 56772 wrt l?\nAnswer: 1020260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.018, -0.05386, 3, 0.1, 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -5*q**3\/2 - 5*q**2 + 42*q. Calculate the smallest common multiple of 11 and s(-1).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 6084*k - 2413474.\nAnswer: -2*(k - 2573)*(k - 469)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 123*d**3 - 138*d**3 - 9 + 33 + 18*d - 16*d + 94*d**3 in the form f*d**2 + s + m*d**3 + z*d and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 7*i + 10. Let p be a(7). Let w be (-6)\/5*(-225)\/p. Suppose 25 = 2*l - w. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*u - 10 = 35*u. Suppose -3*p - 81 = -u*p. Let f = 88 + p. Which is the third biggest value? (a) -2\/7 (b) f (c) -1\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + 2*c + 2*c)*(5*c + 0*c + 2*c).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -927 > 3679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00120077092 rounded to six dps?\nAnswer: 0.001201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1837144*d**2*j**2 - d**2*j + 1420012*d**2 wrt j.\nAnswer: -3674288*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3699012211 less than 27?\nAnswer: -3699012184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/10)\/((-97)\/(-592670)). Is -2444 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.2 times -0.01?\nAnswer: 1.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85670070.\nAnswer: 2, 3, 5, 131, 21799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3007066352?\nAnswer: 2, 17, 11055391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 29190 and -578379534?\nAnswer: 578408724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 358196 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 3)*(2*i - 2*i**2 + 15*i**2 - 11*i**2) to the form j + u*i**2 + g*i and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23506 and 1449.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 891*c**3 - 222*c**2 - 6*c - 5498. Find the second derivative of k(q) wrt q.\nAnswer: 5346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9*z)**(-33) assuming z is positive.\nAnswer: z**(-330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1225)\/(-28) - (-1029 - -1068)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/6570 and 17\/5256?\nAnswer: 26280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000001000111 (base 2) to base 4.\nAnswer: 2001013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5 = p, 4*h - 1 + 37 = -4*p. Let o be p\/(154\/(-21))*4\/3. Suppose o*w + 66041908 = -10358092. Round w to the nearest one million.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, k: 4, t: 2}. Give prob of sequence vtvk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1148.12559 nanoseconds?\nAnswer: 0.000000000013288490625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/2)\/3*(-68)\/51\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 15, 0.15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 3*w - 35 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m*z**3 + 3*m*z - 48315*m - 720*z**3 wrt z?\nAnswer: 3*m*z**2 + 3*m - 2160*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 15*y - 7. Let g(k) = 8*k - 3. Let s(a) = 7*g(a) - 4*p(a). Let l be s(-3). Let c = l + 20. Solve 3*i + 2*f + 8 = 0, -c*i = f - 5*f + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 17035*u + 1128400.\nAnswer: -5*(u - 65)*(u + 3472)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2254, 5, -3, 0 in ascending order.\nAnswer: -3, 0, 5, 7, 2254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 a when four letters picked without replacement from wgakmkakkkakakk?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -32, -1\/4, 155, -9\/4, 2\/9.\nAnswer: -32, -5, -9\/4, -1\/4, 2\/9, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 7. Suppose 4*d + 6 = 5*a - 0*a, -3*d = -2*a + 8. Let j be 4*(a + (-2)\/(-4)). Determine i(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 13 = -7*u. Let k(c) = c**u - 35 + 2*c**2 - 29 + 64. Let y = -12 - -16. Let a(l) = l**3 + 3*l**2. Determine y*k(j) - 3*a(j).\nAnswer: j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136 and 22134?\nAnswer: 88536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - 18*b**5 - b**2 + (2*b + 2 - 2)*(6*b**4 - 4*b**4 - 3*b**4) - 3*b - 2*b**5 + 3*b + b**5 - 4*b**5 + 0*b**5.\nAnswer: -25*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r**2 - 5*r - 3. Suppose 261*y + 58 = -203. Let i(n) = n**2 + n + 1. Determine y*j(h) - 3*i(h).\nAnswer: 3*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 751.46.\nAnswer: -75.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 484*o**5 - o**4 - 763*o wrt o?\nAnswer: 9680*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 543 - 532. Solve 13*d + 10 = m*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1244, 1039, 596, -91, -1028, -2221, -3676, -5399?\nAnswer: -7396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8619, -0.3, 0, -0.01, 0.6, -25?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*w = -1134, 0 = 2*j - 4*j - 2*w + 2236. Suppose 1934 + j = 8*p. What are the prime factors of p?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1905750\/(-85400) + 8\/122.\nAnswer: -89\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 52*1*(-1)\/2. Suppose 6*z - 4*z = 74. Let r = z + x. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36696, 73394, 110092?\n\"Answer: 36698*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*j + 54*j + 30 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1841)\/(-789)*(-600)\/(-14)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from {g: 11, o: 2, m: 1, v: 1, d: 1, s: 3}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 79*l**2\/8 - 4509*l\/8 + 29925\/4 = 0. Calculate l.\nAnswer: 21, 2850\/79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-3183818)\/(-440) + 1\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3335 = 1718. What is the remainder when i is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2))**(1\/3)\/(g*g**1*g)**(1\/8))\/(g**4\/(g**(-2\/17)*g)*(g*g**(2\/3)*g)**(19\/4)) assuming g is positive.\nAnswer: g**(-6865\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 300 - 424. Let q = z + 1502. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4503, -4335, -4045, -3633, -3099, -2443, -1665?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 224 + 74. Suppose c = 2*t - 1140. List the prime factors of t.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3870368 = -29656352. Let p = -28492992 - g. What is p rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 14\/(-21))*(-5)\/2.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-9*q + 6*q - 6*q)*(q**2 + 2*q**2 + 0*q**2) + 1 - 1 + 2*q**3)*(0 + 2 + 0).\nAnswer: -50*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 11 = 9. Suppose -4*t + 44 = -t + i*q, 31 = 2*t + 3*q. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u + 53. Let j = 52 + -58. Is z(j) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-75.19.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367309.\nAnswer: 367309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/16 - 1)*-12. Calculate the greatest common divisor of 36 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1503*m + 56723 - 2*m**2 - 56722 + m**2 + m**2 + 0*m**2 + m**2 + (-3*m + 0 + 0)*(0*m - 3*m + 2*m) to the form t + x*m**2 + n*m and give n.\nAnswer: 1503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -377*v + 55. What is w(2)?\nAnswer: -699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 518 - 514. Suppose 23 = a - 13. Suppose l*r - a = -4*z, 0*z - 4*z + 30 = 3*r. Calculate the lowest common multiple of 22 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(187)*-1*-5 + sqrt(187) + (sqrt(187) - (4*(-1*sqrt(187) + sqrt(187)) + sqrt(187))) + sqrt(187))\/(((sqrt(132)*-1 - sqrt(132))*4)\/sqrt(12)))**2.\nAnswer: 833\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137*p**3 - 232*p**2 wrt p.\nAnswer: 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 15*p**2 - 35*p**2 + 18*p**2. Let q(x) = 2*x + 6*x + 2*x - 2*x + 1. Determine u(q(h)).\nAnswer: -128*h**2 - 32*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + 1138*m - 1967*m + 1094*m + (0*m + 3*m - 4*m)*(-m + 3*m + 0*m).\nAnswer: -3*m**2 + 265*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 1:44 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.1499996s?\nAnswer: 149.9996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1. Let a(y) = 2*y - 14. Give a(c) + 8*f(c).\nAnswer: 2*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8490 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1165 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*(0 - -6))\/(-2). Suppose -d + 143 = -4*u - p*d, 0 = 3*u - 5*d + 81. Let l be 18\/8 + 8\/u. Sort -4, 0, l in descending order.\nAnswer: l, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - (-3 + -237)\/(-5). Let d = 164 + m. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 93210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19290?\nAnswer: 2, 3, 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.11 + 6.11. Sort q, 5, -5\/6, 4\/7.\nAnswer: -5\/6, 4\/7, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313.8281 millilitres in litres?\nAnswer: 0.3138281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 162.7 and 0.339752?\nAnswer: 55.2776504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 3*t - 2*t)*(-1 - 2 + 1 + (-4 - 2 + 4)*(-8 - 2 + 5)).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 208 - 108. Suppose -98*w - 12160 = -d*w. What is w rounded to the nearest 100?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6624a (base 15) in base 14?\nAnswer: 863a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 8*m**4 - 9*m**4 + 4*m**2 - 4 - 7*m**2 in the form x*m**2 + y + l*m**4 + f*m + n*m**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 18*y - 2. What is l(14)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14431, -29009, -43587, -58165, -72743, -87321?\nAnswer: -101899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) + ((sqrt(300)*-2 - sqrt(300))*1 + sqrt(300) - sqrt(300) - sqrt(300))**2 - (-2*sqrt(363) - sqrt(3)*-2*-6).\nAnswer: 44*sqrt(3) + 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203570, -407123, -610676, -814229?\nAnswer: -1017782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*d + l + 6, -10 = 2*d + 5*l. Let p = -10 - -16. Suppose 0 = 2*w - k, -2*w + 2*k - p*k = 0. Are d and w non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -31*d**3 - 2*d - 2. Let v(u) = u**3 - 28*u**2 - 376*u - 155. Let t be v(38). Let k(f) = -32*f**3 - 3*f - 3. Calculate t*p(m) + 2*k(m).\nAnswer: 29*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -4\/9 (b) 2 (c) -3 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 + 58*t**3 - 3*t**2 - 57 + 3*t**2.\nAnswer: 58*t**3 + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/523 and 181\/10080.\nAnswer: 5271840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1400 + -10100. Does 44 divide 2\/3 - k\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 8*x**2 - 12*x + 31. Let o be m(9). What is the third derivative of -57*l**2 + 20*l**2 + 23*l**o + 72*l**4 - 76*l**2 - 17*l**4 wrt l?\nAnswer: 1872*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/18 + (-5)\/(-6))*3. Let p be h - (-8)\/(-6) - 1\/(-3). Let d(g) = -3*g - 3. Let z be d(p). Is 4 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2899498023?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.055361608 to 3 dps.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2209015 + 549015. What is b rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 0.5. Let s = -4.1 + -8.9. Let t = 13 + s. What is the closest to t in v, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*g. Solve 3*j - 6*j - 9 = g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 1. Suppose 0 = -2*p - 1 - 7. Let b be r(p). Let q(m) = -b + 7 + 3*m. Let h(f) = -2*f**2. Determine q(h(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*x - 34 = 0, -25*f + 4*x - 23 = -31*f - 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*h - 1234 + 1486 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -6324.\nAnswer: -1\/1581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 391128487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1153604 to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z - 18. Let a = -29 + 76. Suppose a = 8*s + 167. What is the remainder when 132 is divided by o(s)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -89, -119, -191, -323, -533, -839, -1259, -1811?\n\"Answer: -3*o**3 - 3*o**2 - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.6 + -18.60025. Round f to five dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h. Let x(s) = 11*s**2 + 3*s - 3. Let u(b) = -13*b**2 - 4*b + 2. Let i(f) = 3*u(f) + 2*x(f). What is c(i(z))?\nAnswer: -17*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*h**3 - 7*h**3 - 87*h**3.\nAnswer: -201*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 + 7*h**2 - 3*h**2 + 3*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = 4*n + 3*k + 10, 5*n = 5*k - 110. Let j = -16 - n. What is the remainder when -1 + 20 + (0 - -1) is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u**2 + u**2 + 3*u**2)*(317*u - 123*u + 444*u)*(-2 + 3 - 5) in the form s + h*u**3 + p*u**2 + q*u and give h.\nAnswer: -2552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -1 + (3 - 10) - 4 - -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 14*k**3 - 2*k**2 - 5*k + 10. Let f be d(2). Suppose 319*h - 321*h = -f. Calculate the highest common factor of 39 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-2))\/((5\/(-20))\/(-1)). Let r(g) = g**2 - 8*g + 5. Let f be r(b). What is the second smallest value in -1\/3, 3, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 10:11 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460338?\nAnswer: 2, 3, 73, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 11*v - 1. What is the smallest common multiple of 12 and l(10)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 11 = 3. Let u be (10\/a)\/((-5)\/10). Let l = u + -2. Solve d - 2*d - l = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**3. Suppose 10*a = -13*s + 15*s + 86, a - 23 = 5*s. Let c(g) be the third derivative of -g**6\/60 - g**5\/60 + 3*g**2. What is s*h(f) + 4*c(f)?\nAnswer: f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 170 = 5*c, 95991*d + 102 = 95988*d - 4*c for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27202954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -2 (b) 0.12 (c) -0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**2*i**2*w**2*y - 5*c**2*i**2 - 11*c**2*w**3*y - 233*c**2*w**2 + 3235*i**2*w**3*y - 4*i**2*y wrt w?\nAnswer: -66*c**2*y + 19410*i**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -z + 12*d, -5*d + 5*d + 2*d + 3 = -3*z + 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20c835 (base 13) in base 9?\nAnswer: 1403640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -22*v + 26. Let k(d) = -d + 1. Let j(t) = -6*c(t) + 156*k(t). Let s(b) = -21*b. What is j(s(p))?\nAnswer: 504*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95772?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4242001 (base 7) to base 8.\nAnswer: -1754705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/32*5\/(-5)*2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.142 + 2651736.67.\nAnswer: 2651736.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-44)*((-1012)\/(-23))\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbgbbgbgbb. What is prob of picking 4 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/13, 0.165, 1\/7, 571, 2\/5 in ascending order.\nAnswer: 1\/7, 0.165, 4\/13, 2\/5, 571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -26250 divided by 3\nAnswer: -8750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -98910, -197851, -296778, -395685, -494566, -593415?\n\"Answer: q**3 + q**2 - 98951*q + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**3\/6 + s. Suppose 308 = 4*d - 0. Let q(c) = -4*c - d + 77. Determine q(t(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/4, 130, 2, -0.2.\nAnswer: -0.2, 1\/4, 0.4, 2, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*g - 8 - 7 = 0, 2*m + 4*g - 12 = 0. Suppose m = -27*w + 219 + 537. What is the smallest common multiple of w and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.58 - -0.88. What is x rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 89 - 7 = 97*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 359 - 359.00000356. Round l to seven dps.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 1 = 5*m. Suppose -2*u + 7 + 5 = 0. Suppose -r + 62 = q, m*r = u*q - q + 146. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -898 - -632. Let t(d) = d**3 - 22*d**2 + 26*d + 13. Let l be t(20). Is l at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t + 1. Let f be o(11). Calculate the greatest common divisor of f and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-9))\/((-12)\/72))\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 6*a - 1. Let x be o(3). Suppose -12*t + 12 = -x*t. Solve -q + 0 = -t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**2 + 9*p**2 - 11*p**5 + 8*p**5 + (p**2 + p**2 - p**2)*(2*p**3 - p**3 - 3*p**3).\nAnswer: -5*p**5 + 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(243) + -3)**2 + -2 - (4*sqrt(768))\/(sqrt(28)\/(sqrt(56)\/sqrt(8))).\nAnswer: 22*sqrt(3) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2534*z**2 + 5*z + 548 + 387 - 2535*z**2.\nAnswer: -z**2 + 5*z + 935","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40 + -1026?\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 755620901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microsecond in nanoseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010102200211 (base 3) to base 7.\nAnswer: -12415540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/4 - 624*y**2 - 9971*y\/4 - 1869.\nAnswer: -(y + 1)*(y + 3)*(y + 2492)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -28*c - 188. Let o(k) = 23*k + 189. What is -5*l(x) - 6*o(x)?\nAnswer: 2*x - 194","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - w + 1. Let d(b) = -10*b**3 - 10*b**2 - 22*b + 12. Let a(g) = g**3 - g**2 - 1. Let t(l) = -10*a(l) + d(l). Determine -44*m(u) + 2*t(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from {x: 2, u: 3, h: 5}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2. Let j be y(2). Suppose 0*u = u - 2, -j = -3*w - 2*u. Find the second derivative of 0*t**w + 0*t**4 + 2*t - 2*t**5 wrt t.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17404 - 3?\nAnswer: 17401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -11470, -4, 1\/4 in decreasing order.\nAnswer: 1\/4, -4, -6, -11470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3334005 (base 6) in base 7?\nAnswer: 1266644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1562 divided by -311.\nAnswer: -1562\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 315900082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 o when four letters picked without replacement from oqoiioiqqigoqggi?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - -3. Let g(d) = 2*d**3 - 6*d**2 - 53*d - 11. Let s be g(7). Let z = s - t. Which is the closest to 0.08? (a) -2 (b) 1\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/3*156\/(-104) + -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/102 - (-2)\/6 - (-2)\/(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5303 + -10607\/2. Put a, -4, 5, 0.23 in decreasing order.\nAnswer: 5, 0.23, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 6*h - 7. Let a be k(2). Solve -4*i - 4*z + 32 = 0, -4*i - 5 = -5*z - a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 - 12*l - 14. Let y be q(7). Calculate the highest common divisor of 637 and y.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -2*z**2 - 2*z - 25. Let m(x) = 5*x + 2. Let s(n) = -6*k(n) - 5*m(n). Calculate s(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/9 + 4682*w**3\/9 + 338218*w**2\/9 - 3809882*w\/9 + 385220 = 0. What is w?\nAnswer: -2266, -85, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139986210, -279972425, -419958642, -559944861?\nAnswer: -699931082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66231 and 5605328.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210 - -10?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 + 47 = -2*z - 4*q - 49, 4*z = -32*q - 492 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7894145 months in centuries?\nAnswer: 0.00149117875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 76565449.8ms?\nAnswer: 0.1265963125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26828 by -1625.\nAnswer: 26828\/1625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1 + 3 + 2211*w + 764*w.\nAnswer: 2975*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-379574)\/(-72))\/13 + 4. Let q = m + -1629\/4. Calculate the common denominator of q and -29\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v**2 - 9*v**2 + 9*v**2 in the form a + h*v**2 + o*v and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*c - 69 - 139. Suppose -20*n + c*n + 372 = 0. Is 93 not equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2. Let s(m) = -742*m**2 - 2*m + 194. Give s(y(c)).\nAnswer: -742*c**4 + 2*c**2 + 194","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 41*h**2 - 84*h + 149. Calculate u(39).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11690551 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 i when four letters picked without replacement from buigivvbgvsuuiv.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-4)\/18)\/(48\/(-36)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7*12 + (3 - 5) + 0. Let f = g + 85. Let i be 1*f\/(-4)*0. Sort -4, -2, i in increasing order.\nAnswer: -4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/21 and (-2138)\/(-196) + (-116)\/(-174) - 11.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -191*u - 3405. Is 24 a factor of d(-51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5871768.\nAnswer: 2, 3, 7, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-75)\/(-36))\/(-5))\/(25*61\/(-4270))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 150*b - 1577. What is the tens digit of m(46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 7*i**2 + 7*i + 5. Does 7 divide k(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/((-68)\/24))\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74783 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*c**2 - 573*c**2 + 84*c**2 + 26*c - 26*c + 197*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10363.31 millilitres to litres.\nAnswer: 10.36331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2223936 and 2492424?\nAnswer: 2332908864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/414 and -67\/154400.\nAnswer: 31960800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 5:48 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -83*j**3*z + 564737*j**3 - 7083*j**2*z**2 - 2*j**2 + z wrt z.\nAnswer: -83*j**3 - 14166*j**2*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 1 + 1 + -2. Let j be 4 - 4 - 5\/y. Find the third derivative of j*w**6 - 2*w**2 + 2*w**6 - 5*w**6 wrt w.\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbjbbbbjbbhbw. Give prob of sequence jj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39569287.\nAnswer: 3271, 12097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.205017 hours in milliseconds?\nAnswer: 15138061.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498026*c = 3*w + 498021*c - 56, 2*c = -5*w + 52 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -87917, -87916, -87915, -87914?\n\"Answer: d - 87918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*t + 6*t - 2*t)*(416*t + 995*t - 7 + 697*t + 8) in the form r + z*t**2 + p*t and give z.\nAnswer: -2108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-24) - -2 - (-50)\/1200*(-492)\/69?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 20 = -0. Let w(o) be the third derivative of 0*o - 1\/120*o**6 + 0 - o**2 - 2\/3*o**3 + 1\/10*o**5 - 1\/6*o**4. Determine w(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*97.\nAnswer: -1940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**4\/2 + 2*p**3 - 3*p**2\/2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -164069222\nAnswer: 3\/164069222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 37975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14476320 and 330?\nAnswer: 159239520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y = -297*y - 40*y - 51*y + 4998 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 11:21 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a5a4 + 4?\nAnswer: a5a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 969 + 2*f**2 + 209 + 4047*f - 3*f**2 + 141*f**3 - 4048*f with respect to f.\nAnswer: 423*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2\/4 + 1771*u\/4 + 8322 = 0. What is u?\nAnswer: -1752, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1331) + (sqrt(1331) - (-1 + sqrt(1331)))) + 4 + 1 + sqrt(1331) + -5 + sqrt(1331)*-2*6 + 3)**2.\nAnswer: 1122*sqrt(11) + 384668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/5 - 1131*r**2\/5 - 69768*r\/5 - 237168.\nAnswer: -3*(r + 36)**2*(r + 305)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/1548 and -32\/71.\nAnswer: 109908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5. Let x = g + 5. Solve 0 = -0*a - x*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2372*o**4 - 68790*o**3 + 147006*o**2 + 124*o = 0.\nAnswer: -31, -1\/1186, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -312514, -624884, -937114, -1249204?\n\"Answer: 70*i**2 - 312580*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 13. Suppose -3*v + 7 = -5. Let x = b - v. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1607)\/33747)\/((-2)\/7).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 193*p - 1120. Let m be q(6). Solve i - 4 = -m*z, -2*i = -5*z + 2 + 26 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 39235470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/12))**(-33) assuming r is positive.\nAnswer: r**(-143\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-1 + -1 - -4). Let s(x) = x**a + 2*x**2 - x**2 + 2*x**2. Let r(q) = q**2. Calculate s(r(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 595729?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39390 and 877110.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + c**3 + 15 + 4*c**3 - c**2 in the form o + z*c**2 + i*c + g*c**3 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 779 and 40057.\nAnswer: 761083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*q + 15*q + 2 + 7*q + 2 in the form p + g*q and give g.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (278*b + 34*b - 27*b)*(-2*b + 2*b + 5*b) + (0*b + 2*b - 3*b)*(-2 + 2*b + 2) to the form c*b + j + y*b**2 and give y.\nAnswer: 1423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from qrrereer.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 965 + (-2 + -3)\/(-5 + 6). Calculate the greatest common factor of t and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 2*p + 4 = 0, 12*p + 16 = 4*l + 9*p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 36, 15 in descending order.\nAnswer: 36, 15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2682*p**3 - 97*p**2 - 7*p + 47. Let o(d) = -4470*d**3 + 163*d**2 + 12*d - 78. Let l(k) = -12*n(k) - 7*o(k). Find the third derivative of l(m) wrt m.\nAnswer: -5364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 858680 by -214670.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 399060 and 12?\nAnswer: 399060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 28*b + 3. Let c be r(-24). Solve c - 111 = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 48*x**2 + 0*x - 23\/8*x**4 + 0*x**6 - 1\/60*x**5 + 1\/42*x**7 + 0 + 0*x**3. What is the second derivative of y(v) wrt v?\nAnswer: 60*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 464629604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/10 and 69\/59176?\nAnswer: 295880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31414332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 136303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19957 is divided by 1121.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - 4 - -8) + 28 + 11 - (0 - 2)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -307269 divided by -78.\nAnswer: 102423\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 196 = -1. Let p = x + 55. Let w = 27 + -11. What is the least common multiple of p and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55864 is divided by 461?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26180)\/(-605) + (-2556)\/781.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 4*r**5 + r**5 + 2*r**5 - 5*r**5 + 0*r**2 + r**5 + 0*r**2 + (-5 + 2*r + 5)*(r**4 - r**3 + r**3).\nAnswer: 5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2547 * 0.4.\nAnswer: -1018.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*i**2 + 90*i**2 + 1945*i**4 - 1943*i**4 + (0*i**4 - 2*i**4 + i**4)*(4 - 1 - 4) as j*i**4 + x*i**3 + q*i + o + v*i**2 and give v.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23870723361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937 is divided by 132?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z**2 + 31*z**2 + 155*z**2.\nAnswer: 167*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from qwcmc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9971, 19638, 29301, 38966, 48639, 58326, 68033, 77766?\nAnswer: 87531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 + 3*n - 424. What is t(-12)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 60 (b) -4\/5 (c) 4 (d) -2\/9 (e) -2 (f) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/23 or 0?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + -1*sqrt(2736))*-6 - 6*(2 + sqrt(2736))*-2)*6)**2 + -1.\nAnswer: 466560*sqrt(19) + 31945103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12))\/(-1)*765\/85.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 58*s**2 + 113*s**2 - 7 - 439*s**2 + s - 2*s to q*s**2 + j*s + d and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, a: 1, d: 3, r: 8, f: 2, l: 1}. What is prob of sequence dff?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 344782615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7352 and 220560?\nAnswer: 220560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1657 - -1747. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4446 + -0.77\nAnswer: -4446.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (35 + -61) - (0 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4686563434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1152 divided by 702?\nAnswer: -64\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -276530*f**4 + 30230*f**2 + 3.\nAnswer: -6636720*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*t**2 - 59*t**2 + 723*t**2)*(-1 + 1 - 1)*(-4 + 0 + 2).\nAnswer: 1146*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1618 + 1758. What is the greatest common factor of 63 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.4, -80, 1\/7, -242.01, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1.3. What is the smallest value in 2\/5, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 10 = -3*p + t, 2*t + 2 = 0. Let b be (30\/(-2))\/p - 2. Let z(n) = -2*n**2 - 3*n + 2. Let l(h) = -2 + 5 - 4 + 2*h**2 + 2*h. Give b*z(f) + 4*l(f).\nAnswer: 2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, t: 1, w: 1}. What is prob of picking 2 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 51 - 49 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.074 + -3.926. Let h = 33 + -100\/3. What is the third smallest value in v, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -4 + -5 + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d + 11. Let g be u(-7). Let m(l) = 2*l**3 - 8*l**2 + 14*l - 6. Let s(y) = -y**3 + 3*y**2 - 5*y + 2. Give g*m(h) - 8*s(h).\nAnswer: 2*h**3 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 298, 261, 230, 211, 210, 233, 286?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(9\/(-6) - -1). Suppose k - z = 15. Calculate the greatest common divisor of 76 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23\/2, -2\/7, -4, 7.\nAnswer: -4, -2\/7, 7, 23\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2209626.9 months in decades?\nAnswer: 18413.5575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1734721ng to kilograms.\nAnswer: 0.0000000000001734721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -i + 4. Let n(d) = d**i - d + d**2 + 0 - d**3 - 2*d**3 - 1. Let x(b) = -b**3 + b**2 - b - 1. What is -n(s) + x(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15*((-4)\/42 - 21\/(-49)). Suppose m*l - 4 = l. Let u(d) = -7 - l + 3*d + 10. Let t(h) = 4*h + 2. What is -4*t(a) + 5*u(a)?\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(0*a + a + 0*a) + (a - 2*a + 0*a)*(0 - 2 + 1)*(25 + 14 - 9).\nAnswer: 29*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 279 - 262. What is the greatest common divisor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1 + 2*q**2 + 1 - 3*q**3. Let b(x) = 16*x**3 - 11*x**2. Suppose 587 = j - 183. Let g be (j\/210)\/((-2)\/12). What is g*s(l) - 4*b(l)?\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/15 + 23\/30. Let j = -28\/11 - -26\/11. Let l = 3502 + -3502.1. Which is the closest to q? (a) 4 (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.92 + 183.92. Let u = 178.996 - o. Which is bigger: 0.2 or u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 18*i**2 + 16*i + 19. Let c be h(17). Suppose -2*u + 3*b + 19 = 0, -u = -0*u + c*b + 8. Solve j = 4*q + 14, 0*j + 2*q + 4 = u*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84393 * 0.039.\nAnswer: -3291.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 156381, 156230, 156079?\n\"Answer: -151*d + 156532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32\/55 - 2\/11. Let q = -5175 - -5178. What is the nearest to -0.1 in q, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229143?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -41443022 (base 5) in base 14?\nAnswer: -8d288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**3 - 6*a**2 - 12*a + 5. Let o(t) = 14*t**3 - 18*t**2 - 35*t + 16. Let j(d) = 11*i(d) - 4*o(d). Let u be j(7). Put 1, -6, u in ascending order.\nAnswer: -6, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**5\/2 + 42*n**4 - 249*n**3 - 24*n**2 + 1719*n\/2 + 594 = 0.\nAnswer: -33, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -233*t**3\/3 - 189*t - 262. What is the first derivative of v(i) wrt i?\nAnswer: -466*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1257*q**2 + 0*q - 99*q**2 + 0*q.\nAnswer: 1158*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 1:39 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(144\/40*70\/(-42))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.7 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 45*l**2 - 82*l - 566. Give c(47).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 627*b**3 - 26065*b**2.\nAnswer: 3762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 707276.3l in millilitres?\nAnswer: 707276300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 4 + 3 + -5. Let j(a) = 3*a**2 - 5*a + 2. Let k be j(m). Suppose k*s + 64 = 18*s. What is the remainder when 77 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)*g)**(-50)*(g*g\/g**(-1\/3))**(-2\/81))\/(((g**(-2\/7)*g)\/g*g)\/g**6*(g**(4\/3)*g*g)\/(g\/(g\/(g**(2\/9)\/g*g*g)))) assuming g is positive.\nAnswer: g**(5302\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3*u = -w, 0 = -4*w - u + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34516.71 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 7*r**5\/4 + 201*r**4 - 1269*r**3 + 77*r**2\/2 + 18717*r\/4 + 6345\/2 = 0.\nAnswer: -846\/7, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1539 is divided by 419.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7192*z + 1359. Is 44 a factor of h(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 + 0.04. Let i = 3.3 - 3.3. What is the third smallest value in 1, i, -1\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*y**2 + 69*y - 69*y + (-3 + y**2 + 5 + y**2)*(-3 + 1 + 3) as d + i*y + n*y**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from tttbbbtttbttttbttt.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1143360\/(-29775) + (-190)\/(-5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*y - 116*y = -3752 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10868874 and 186413?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 4 (c) 2\/107 (d) 12 (e) 0 (f) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -5, 4, 1563.\nAnswer: -5, 3, 4, 5, 1563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*t - 64*t = -120*t - 552. Suppose -2*o + o = 5*n - 114, -n + 20 = 3*o. Calculate the greatest common factor of n and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66305f (base 16) to base 13.\nAnswer: 1506371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.82 in 91.2, -0.5, -0.49, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 9*j - 12. Let f be p(1). What is q in f + 0*q**3 + 6\/13*q**5 + 8\/13*q**2 + 0*q - 14\/13*q**4 = 0?\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -2*v - 126. Let r be (v - 15) + (-13)\/5. Factor 2\/5*y**2 + r*y + 0.\nAnswer: 2*y*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.7 + 0.7. Let d = n + 3. Let l be (-5 - (2 - 4)) + 0. Sort d, l, -2\/7 in decreasing order.\nAnswer: d, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16124300 to the nearest 100000.\nAnswer: -16100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 3*p. Let j(r) = r**2 + r + 103. Let h be j(p). Let q = -63 + h. Is 20 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 2*s - 18, -3*z - 5*s = -2*z - 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6) + 12 + -50 + 34.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-325)\/143)*-5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -927*x**3 + 63 - 915*x**3 - 30 - 33 + 1839*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2215\/8 - 278. Calculate the common denominator of x and -2 - (2\/9 - (-9)\/(-1134)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 1:52 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 21*l**2 + 22*l + 26. Let u be n(-20). Let c = u - -17. Suppose -4*i - c*k = -21, 3*i = 5*k - 2*k + 21. Solve 0 = 2*p - 0*p + i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9*b**2 + 156*b - 463. Let j be y(3). Solve 86 = 6*d + j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**2 + 27*g - 27*g - 6*g**2. Let d(r) = 9*r. Give b(d(i)).\nAnswer: -729*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4987057*m + 27710363.\nAnswer: 4987057","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + b - 4*b**3 - 21*b - 2 - 3 - 16*b**2 = 0 for b.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 + 2*b**3 - 4*b**2 - 3*b**3 + 7. Let a(v) = -3*v**3 + v**2. Let y be a(-1). Suppose -y*m + 18 = -7*m. Determine c(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 351 and 117.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5 = h, -3*h - m - 20 = -6*h. Suppose 16256 - 78017 = -519*k. Calculate the highest common divisor of k and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y = 13*y + 54 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11302101210 (base 4) to base 15.\nAnswer: 1ee599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -34, -0.131?\nAnswer: -0.131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1681b (base 15) to base 11.\nAnswer: -4a692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 207 = -31. Let j = 338 - 330. What is the remainder when y is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3870 and 2150?\nAnswer: 19350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1 - 3*y**2)*(15 + 51 + 1)*(-474*y - 2*y**3 + 474*y).\nAnswer: 402*y**5 - 268*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 divided by -1856?\nAnswer: 101\/1856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6939397 - 0.694. What is p rounded to six dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 226 = 4*a, -4*z = -6*a + 10*a + 488. Let s = z - -127. Solve -s*f - 42 = -10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 11*u + 98. Calculate p(-13).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273503.\nAnswer: 3, 7, 11, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 2*u**2 + 0*u)*(10 + 1 - 4)*(2*u - 3*u - u)*(-14 + 9 + 16).\nAnswer: 308*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.523 - -433.\nAnswer: 432.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 596 + -591. Factor 491*z + 31*z**4 - 476*z + n*z**5 + 25*z**2 + 20*z**2 - z**4 + 60*z**3 + 5*z**2.\nAnswer: 5*z*(z + 1)**3*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194350, 388718, 583086, 777454?\nAnswer: 971822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 0*k - 1 - k**2 + 2*k)*(4*k - 2*k - 4*k).\nAnswer: 8*k**3 - 4*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37111810 divided by 37111810.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - l + 28. Let b = -41 - -68. Let r = b + l. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 19*s**2 - 13*s + 13. Let k(l) = 3*l**2 - 2*l + 2. What is 39*k(t) - 6*z(t)?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 9:30 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 84 = -4*d, -1522*d - 123 = -1527*d + r for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-10)*h*(h*h**(-6\/5))\/h*h*(h*h\/(h\/(h**(-2)\/h)))\/h**(-11) assuming h is positive.\nAnswer: h**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -51 - 33. What is the remainder when 137\/5 - 2\/5 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 632\/52 + 2 + 56\/(-26). Let d(p) = -p**3 - 6*p**2. Let w be d(-6). Let z(i) = -i + 6. Let h be z(w). Calculate the highest common factor of h and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -2, 4\/13, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.922 take away 0.161753?\nAnswer: 1.760247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -178*b**2 - 21*b - 5. Let m be u(-5). Round m to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 8*m - 30. What is the third derivative of -11*z**5 - 13*z**5 - 3*z**2 - 17*z**5 + 39*z**m wrt z?\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11152 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*v + 12. Suppose v = -0*s - 2*s. Let r be (-1)\/s - 18\/(-4). Solve r*j + 4*y = -5, -3 = 3*j + 5*y - 3*y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2976319 or 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 204 in decreasing order.\nAnswer: 204, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33)\/(-16) - (2 + 0). Let y = -192.61 - -2.61. Let d = y + 187. Put c, d, 3 in decreasing order.\nAnswer: 3, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-1))\/(2\/(-2)). Let w be (16 - 1) + p\/(-1). Suppose -30 = -5*v - 2*t + t, w = 3*t. Solve 5*q + 9 = 4*d - 6, 26 = v*d + q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + 7470 = -76615 - 5285. List the prime factors of d.\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24654, -49457, -74266, -99081?\n\"Answer: -3*g**2 - 24794*g + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.98041 take away 1.9264?\nAnswer: 16.05401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 364*i**2 - 2655 + 1316 + 1337.\nAnswer: 364*i**2 - 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-121 - (-10 - -10)) + (-6 - -6 - -8) - 6.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086340400 to the power of 1\/2, to the nearest integer?\nAnswer: 32960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/50)\/((100\/(-8))\/(-5))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28539464?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*2*sqrt(108) + (-2 + sqrt(6)\/sqrt(2) + sqrt(3))**2 + sqrt(9)\/(sqrt(3) - sqrt(27)) + -3.\nAnswer: 8 + 103*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q + u = -3, -4*u = 2*q + 12. Suppose q*k + k = 4. What is the common denominator of 562\/(-48) + k\/(-6) and 89\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109 + 197. Suppose 4*i = 5*y + 2*i - o, 5*i = 5. Calculate the least common multiple of 20 and y.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 0*b**3 + 0*b**2 - 10*b - 5\/12*b**4 + 0. Let y(l) be the first derivative of -l**2\/2 + 2. Give y(u(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000717 rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-r**2 + 0*r + 0*r)*(5*r - 2*r - 2*r) - r**3 + r**3 - 7*r**3)*(-6*r - 3*r + 5*r) to l*r + f*r**2 + s*r**3 + b + m*r**4 and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18524287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 231?\nAnswer: -693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p*p**(-1\/4)*p)*p)\/p*p)**(-13\/2)*(p**3)**(-2\/43) assuming p is positive.\nAnswer: p**(-2843\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l - 1. Let z(w) = -w - 1. Let v(n) = -k(n) + 2*z(n). Let o be v(1). Solve m + 6*u - 12 = 3*u, 0 = -o*m + u + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58? (a) -0.1 (b) 0.3 (c) 1\/5 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/3 - 58\/(-6). Let s = a + -1. Let v be (-1 + (6 - 4))*72. What is the greatest common divisor of v and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 3, p: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 15*k**2 - 73*k - 3. Let a be g(19). What is the highest common divisor of a and 486?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 13*s. Let b be 7\/56 - (-117)\/24. Suppose -48*u = -49*u + b. Let a(w) = -w + 4*w - 2*w + u*w. Calculate a(q(l)).\nAnswer: 78*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 7*f**5\/60 + 31*f**4\/12 - 43*f**3\/3 + 9*f**2. Is a(-45) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 6)*(5 + 0 - 3)*(o + 0*o + 0*o).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003573085 to six dps.\nAnswer: -0.003573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 289 divided by -51487.\nAnswer: -289\/51487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from {v: 2, h: 2, k: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6004258*v**4 + 2*v**3 + 142705905*v.\nAnswer: 72051096*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -11*w**3\/3 - 3*w**2 - 35. Let p(i) = -11*i**2 - 5*i. Calculate 7*p(f) - 6*q(f).\nAnswer: -11*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (0 + -1)) + -91 + 147694 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -195064 less than or equal to -195065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8*n**2 + 57*n**2 - 51*n**2. Let k(q) be the second derivative of 7*q**4\/12 - q**2\/2 - q. Determine a(k(d)).\nAnswer: -98*d**4 + 28*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1502610 divided by 300522\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14.6 * 12540\nAnswer: -183084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239107289 is divided by 206?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2716 times -0.2\nAnswer: -543.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**5\/30 - d**4\/6 + 2*d**2. Solve k(j) = 0 for j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -86349.1 from -4.\nAnswer: 86345.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2\/13 - 567220*d\/13 - 479974 = 0.\nAnswer: -11, 283621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 2. Let a be z(-6). Let t = -2 - a. Suppose t*w + 36 = 4*o, -w = -o - 2*w + 3. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 836491, 836492, 836493, 836494, 836495?\n\"Answer: k + 836490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2538*j**3*y**3 - 2*j**3*y + j**3 - 655*j**2*y**3 - 99*j**2*y - 20*y + 8 wrt y?\nAnswer: -15228*j**3*y - 3930*j**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1907148430 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 y = 0.044 + 1.956. Which is the second smallest value? (a) -4 (b) -30 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -20. Solve i = -5*q + 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-22)\/(-12) + (-1)\/(-6))*-1. What is the nearest to y in 1\/4, -134, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 19. Calculate the remainder when (-1 - t)\/((-10)\/15) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + 1.6. Let y = v - 2.1. Let d(l) = l**3 - 5*l**2 + l - 6. Let x be d(5). Which is the nearest to x? (a) y (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 23. Let s = -3.5 - -0.5. Let d = -983 + 982.7. Which is the closest to t? (a) s (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1453*s - 1612*s - 196*s)*(-s**3 + 0*s**3 + 0*s**2 + s**2).\nAnswer: 3261*s**4 - 3261*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -7*w + 88. Let z be 15\/(-28) + ((-180)\/16)\/w. Do 1 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -1\/2 (b) 1 (c) -1894\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0 - 2 = 5*c, 16 = 2*c - 4*n. Let j be (c\/(-3) - 0)*-3. What is the first derivative of 0*s**j + 2*s**2 - 1 + 2*s**3 - 2*s**2 wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 166494389 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 4. What is w(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -409, -432, -455, -478, -501, -524?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 72046 * -0.1\nAnswer: -7204.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 25*c**2 - 2*c - 1. Determine r(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 106524030*k**3 - 248480191 wrt k.\nAnswer: 319572090*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + 8*r + 6. Let o(b) = b - 2. Let n be o(-3). Is i(n) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1261303282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2808*o - 1397*o - 1390*o - 1344 = 0 for o.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -18*h + 12. Suppose -6*c = -3*l + 120, -5*l = -2*c + 6*c - 130. Calculate the least common multiple of u(-2) and l.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16*40\/224)\/((-4)\/14)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11\/(77\/25) - 3) + 612\/7. Solve -d - r = -94 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 543340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + a = 1, 12*k - 3*a + 9 = 16*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38, -212, -688, -1616, -3146, -5428, -8612, -12848?\n\"Answer: -25*k**3 - k**2 + 4*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6255.555cm in micrometers?\nAnswer: 62555550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from xqequkk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 343067 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -52*r**3 - 3*r - 3. What is the remainder when f(-2) is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.201 (b) 1\/6 (c) 1\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwjjajjnajj. Give prob of picking 1 w and 1 a.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83 + 72 - 5335*z + 5333*z)*(2*z**3 - 4*z**3 - z**3).\nAnswer: 6*z**4 - 465*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 9*n + 12. Suppose -3*i - 8 = -2*i. What is the units digit of r(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5962.5 + -5963. Which is the nearest to -1? (a) q (b) 22.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/(-4)*(-6)\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 9*o - 6. Suppose 5*a = 2*x - 5*x + 102, -5*x = a - 38. What is the smallest common multiple of t(4) and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*n**2*r**2 + 3*n**2 + 11*n*r**2 - 78*r**2 + r - 3 wrt n?\nAnswer: -24*n*r**2 + 6*n + 11*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4 + 11474*k**3 + 487106*k**2 - 9645218*k - 33009648 = 0.\nAnswer: -56, -3, 17, 5779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 12880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 21 = 3*j, j - 5*k + 3 = 5*j. Let v be (-4 - j) + 3 + 4. Do 6 and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1017 and 108.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -28.4\nAnswer: 113.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.66 - -0.015631874.\nAnswer: -6.644368126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2986.\nAnswer: 2, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31277113, -62554231, -93831351, -125108473, -156385597?\nAnswer: -187662723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3525, 14695, 33345, 59463, 93037?\nAnswer: 134055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p - 1. Let s(z) = -z + 1. Calculate -4*s(n) + y(n).\nAnswer: 2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -142907 - -1286162\/9. Let u = -1 + 1. Which is the third biggest value? (a) u (b) 1\/3 (c) -5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - -9. Let m = 20 - g. Sort -4, 2, m.\nAnswer: -4, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59808.09 rounded to the nearest one thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41364 - 28655. List the prime factors of j.\nAnswer: 71, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 2, -1 in descending order.\nAnswer: 38, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -6 - -2) + -4 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -1) + (13 - 18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**4\/12 + 11*q**3\/6 - 3*q**2\/2 - 99. Let w(k) be the second derivative of m(k). Calculate w(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35467 and 5.\nAnswer: -177335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-273)\/13)\/7*(-4)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, u: 3, f: 7, y: 2, r: 3}. Give prob of sequence ft.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 - 73. Suppose 17 + 4 = -3*w. Let o(t) = t**3 + 10*t**2 + 15*t + 15. What is the remainder when o(w) is divided by h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -923610 greater than -52645714\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -13 + 17 - (-83 + 1). Let o = 161 - k. Suppose 3*p = -n + 288, 0 = -2*p - 4*n + 257 - o. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-18))**(-1\/11)*k*(k*k**(-32)*k)\/k*k**(1\/18) assuming k is positive.\nAnswer: k**(-5605\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -31*l - 21. Let j be u(-1). What is the greatest common factor of j and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*n - 22 = 262*n + 3*q, q - 22 = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57437348 is divided by 4004?\nAnswer: 3972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + y**3 + y**5 + (y**3 - 2*y**3 + 2*y**3)*(405*y**2 + 68*y**2 + 3*y**2).\nAnswer: 477*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*i - 477. Let x be -1 + (-3)\/(-2) + i\/(-6). Suppose 4*m = x - 0. What is the smallest common multiple of 10 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4012324 (base 5) to base 9\nAnswer: -106045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/21 - 8\/84*-141. Find the second derivative of 113*s**2 - 113*s**2 + t*s**5 - 10*s wrt s.\nAnswer: 260*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 803\/28 - 129\/7. Calculate the common denominator of -4 + 1 - 1875\/(-708) and b.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 217402 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 prob of sequence yyzy when four letters picked without replacement from {y: 5, z: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 2)*5\/3. Suppose 11*h = 48*h - 185. Let f = 0.0209 + -0.4209. Which is the third smallest value? (a) f (b) k (c) h (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**5\/50 - 19*s**4\/10 - 56*s**3 - 784*s**2\/5 + 2*s + 12. Factor h(b).\nAnswer: -2*(b + 1)*(b + 28)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = i - 7*i - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 12:55 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1488.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 - -0.1. Suppose 5*v - 2867 + 2873 = 3*r, 0 = -v + 4*r - 25. Which is the closest to 1\/3? (a) v (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -70 - 28. Let c be 1974\/(-294) - t\/(-2). Factor 0*z - 2\/7*z**2 + c.\nAnswer: -2*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n + 504*n**3 - 3287*n**3 + 17 + 2*n - 2379*n**3 wrt n?\nAnswer: -30972*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -1031, 0, -7, 2, -4 in decreasing order.\nAnswer: 2, 0, -4, -7, -20, -1031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 28. Suppose 5*t + 2*z - 10 = 101, 3*z - 9 = 0. Let q be s(t). Let i(f) = 7*f**2 + 1. Let b be i(-1). Is q < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2217 - 370. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/2950 and -37\/10030.\nAnswer: 50150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270 and (-8)\/(-140) - 272\/(-140).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*c = -172 - 14. Solve -5*k = c*i - 4, -k - 2 = -i - 3*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 1:14 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190111.\nAnswer: 17, 53, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47358 - 6440587\/136. Find the common denominator of g and -65\/252.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1988534 + 13345051715\/6711. Find the common denominator of -95\/24 and f.\nAnswer: 53688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 25*d**5 + 220*d**4 + 655*d**3 + 760*d**2 + 220*d - 80 = 0.\nAnswer: -4, -2, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/141188 and -23\/20.\nAnswer: 705940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 10*u - 168. Let k be (0 - 150)\/(u\/112). Suppose -45*z + k = -44*z. What is z rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - d = -3760, 5*d + 15040 = -3*j + 7*j. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 200\/9, -0.001, 3, 4.7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 56. Suppose 6*t - d = -4. Which is smaller: t or 1\/120?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(22\/3))\/d**6)\/(d**(2\/3)*(d\/(d\/d**(-1\/83)))\/d*d) assuming d is positive.\nAnswer: d**(-1078\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1\/6, 0.11, 0, -1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2. Suppose y*r + 3*q = -3*r + 15, 0 = 5*q. Solve -r*m + 24 = -1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmwm when four letters picked without replacement from {p: 4, m: 6, t: 5, w: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/456175?\nAnswer: -2\/456175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5706631?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c = -3*c + 24 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36364, 72753, 109142, 145531, 181920, 218309?\nAnswer: 254698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + -3)*-6*5*1)**2 - 4*1*-1*sqrt(175)*-2.\nAnswer: -27040*sqrt(7) + 165600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 1 - (12 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -159778?\nAnswer: 95866.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7877*o**2 - 29104*o**2 - 17379*o**2 - 5744*o**2.\nAnswer: -60104*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) + (-4)\/14. Suppose -2*o = -o. Let h = -1 - -3. Solve h*s - 2*k = o, 3*s + 3*k + 2*k = r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**2 - 10*c + 11. Let b(i) = -i**2 + 2*i - 2. Let q be 3\/6 - (-105)\/10. Calculate q*b(j) + 2*x(j).\nAnswer: j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 0.08.\nAnswer: -2, 0.08, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.9 + 0.9. Let l = 1.6 - 1.4. Which is the nearest to -0.1? (a) l (b) 1\/6 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -687.9 and -0.1.\nAnswer: 68.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**6\/280 - j**5\/14 - 3*j**4\/8 - j**2 - 20. Let d(l) = 0. Calculate l.\nAnswer: -7, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/14)\/(15\/(-175)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2129*c*z - 9*c + 21 wrt z.\nAnswer: 2129*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29331619?\nAnswer: 47, 73, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194272.2 seconds to milliseconds.\nAnswer: 194272200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 170?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(1\/((-27)\/54))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1013063\/11211 - 8356\/101. Let s = 26\/37 + a. Find the common denominator of s and -39\/19.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0170091 and 1.09?\nAnswer: 1.0729909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)*1 + 2)*-1*-5 - ((sqrt(405) + sqrt(405) + 1 + -5 + 1)**2 + -3))*-4 + -5.\nAnswer: -612*sqrt(5) + 6459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppqppplllplcpwwppwp. Give prob of picking 1 l and 1 p.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k + 20 = 0. Suppose z - 6*z = -3*g + 136, -k*g + 200 = -2*z. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 512097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -901*v**4 - 1330*v - 2.\nAnswer: -10812*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -21*r**3 - 2*r**2 - r + 5. Let x(k) = -21*k**3 - 2*k**2 - k + 6. Let h(d) = 6*u(d) - 5*x(d). Let t be h(-1). Solve 2*f = -3*f + t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2 (b) -0.4 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 2*h**7\/105 + 2*h**6\/15 + 6*h**5\/25 - 2*h**4\/15 - 14*h**3\/15 - 6*h**2\/5 - 15*h. Let f(j) = 0. What is j?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.8 and -3.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 + 7*y**2 + 4. Let m(t) = 2*t**3 + 6*t**2 + 3. What is 5*m(f) - 4*o(f)?\nAnswer: 2*f**3 + 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 14, -4, 1, 100 in decreasing order.\nAnswer: 100, 14, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 29 + 20 = 0. Which is smaller: v or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9046 + 4521 + 4518 + 14*f)*(4 + 4 - f**3 - 2*f**4 - 4).\nAnswer: -28*f**5 + 7*f**3 + 56*f - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 49 + 13. Suppose 0*z - 4*f = -2*z + h, 68 = 3*z - f. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 71\/5 - (-4)\/(-20). Let i be 4\/w - (-120)\/70. Let p(s) = -7 - i - 9*s + 10*s. Give p(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*(-10)\/3*(-23040)\/7200. Let f = 0.1 - 0.3. What is the smallest value in i, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19409126 rounded to three decimal places?\nAnswer: -0.194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4651741 (base 8) to base 5\nAnswer: 311013112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 7*u**2 - 33*u + 14. Is y(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-1 + -1))\/2. Suppose -5*h + i = -1183, -4*h + 946 = -t*h - i. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105548, 422190, 949934, 1688786, 2638752, 3799838?\nAnswer: 5172050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k - 25 = 0. Suppose 60 = 4*n + 4*l, 3*l + 37 - 2 = 5*n. Suppose 0 = 5*h - k, -n = -3*i - 0*h - 2*h. Solve -m = -i*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*r - 30. Let d be ((1 - -2)\/3)\/(-1) - 64. Let h = 68 + d. Solve -j = -r*j - 5, 4*j - 8 = -h*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6*i = -14. Let h(f) = -2*f - 2. Give h(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3027746 and 4.\nAnswer: 6055492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-750)\/225)\/(1\/(-12)*45\/(6840\/(-64)))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-23)))\/s)\/(s**25\/s) assuming s is positive.\nAnswer: s**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 787643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Let k = 0 + z. What are the prime factors of (15\/k)\/((-6)\/(-12))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417301\/416 greater than or equal to 3406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359*l - 138*l + 216*l - 387*l - 228*l + l.\nAnswer: -895*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 71063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -6*x + 7*x. Let d = 58 + x. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.998 to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(624\/224)*(-3)\/4*-2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1820, -1828, -1848, -1886, -1948, -2040, -2168?\n\"Answer: -i**3 - i - 1818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94178 and 868?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -471.99458 + 472. What is i rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 60 and 0.2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3737*0.4776.\nAnswer: 1784.7912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1149 and (-5)\/(60\/(-41379)) + (264\/(-32) - -7)?\nAnswer: 3447","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-30)\/(-25))\/2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -1.5, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 5. Let p be u(9). Solve 0*c - p*a + 20 = c, 0 = c - a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-70)\/244*20\/(-25). Suppose 0 = 4*p + 5*c + 35, -p + 21 = -33*c + 30*c. Which is smaller: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 14*c**2 + 136*c - 191. Calculate n(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -379279*r + 758561. What is t(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 8:36 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3103\/13959 - 1\/13959. Sort 26, z, 5.4 in decreasing order.\nAnswer: 26, 5.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -179 and 10462.\nAnswer: -1872698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*t = -4. Let b be (16\/5 - 3)\/(24\/(-390)). Is t <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 9*b**2 - 9*b - 14. Let h be x(10). Let a = 7 + h. What is the derivative of -5 + a + f**2 + 1 - 2*f**2 wrt f?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 56\/3*j**3 + 0*j**2 + 65 + 0*j. Let i(r) = 3*r. Calculate d(i(s)).\nAnswer: 504*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 - 2*s**2 - 6*s - 6. Let n(i) = i - 1 + i - 3*i. Let w be 30\/4*4\/5. Let z(d) = w*n(d) - b(d). What is the third derivative of z(p) wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 7:02 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 - -0.08. Let z = 0.05 - d. Let h be 15\/3 - 34\/6. Which is the nearest to z? (a) 0.4 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115.6 * 47285\nAnswer: 5466146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-990) - (-26360)\/1100.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000071864 rounded to six dps?\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 + -2)\/((-7)\/35) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1. Let d(b) = -9*b + 1. Let z(w) = 2*d(w) - 2*f(w). Let x(n) = n**2. Determine z(x(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207 and 296631.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*c - 24. Let n(p) = p**2 - 16*p - 5. Let q be n(16). Put q, -4, c, 1 in decreasing order.\nAnswer: 1, c, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 15. Suppose -x*a = a - 70. What is the remainder when 53 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 628 - 359. Let q = r + -193. Is 24 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (191*g**4 - 45*g**4 + 59*g**4 + 82*g**4)*(-7*g - 3 - 6*g + 11*g).\nAnswer: -574*g**5 - 861*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6\/203 - -340\/2233. Let m = 0.25 - -0.05. Which is the closest to 5? (a) m (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/2)\/((-624)\/128*4)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227971 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25434 and 25434?\nAnswer: 25434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbvhvbcxhvvvxvzbbvx. Give prob of picking 1 b, 1 v, and 1 h.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2*2\/(-12). Let d be (-5)\/25 - 3\/10. What is the nearest to d in 0.5, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -612 = 27615*s - 27651*s for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443308227?\nAnswer: 3, 149, 991741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2830 + -2827. Solve -w = f - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((28\/(-35))\/((-8)\/20)). Let k(c) = 0*c + w*c + 0*c - 5*c**2. Let s(u) = 25*u. Give k(s(q)).\nAnswer: -3125*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1776 divided by 888\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3584\/(-640)*(-1)\/6*-15.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**4\/12 - 10*g**3\/3 - 17*g**2 + 24*g. Is q(-15) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 350 = 3*m. Suppose -m*i = -34*i + 63. What is the smallest value in i, 1\/5, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 18*c**2 + 84*c + 80. Let n be v(-11). Let q(a) = 4*a - 14. Let t(j) = 5*j - 15. Determine n*t(m) - 4*q(m).\nAnswer: -m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.09 and 0.0154.\nAnswer: -0.0746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 5*s - 39. Suppose 18*j - 12*j - 12 = 0. Suppose -z = -3*a + z + 107, -j*z = -a + s. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 161*t - 1184. Determine f(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3180896 minus 0.494393?\nAnswer: 3180895.505607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 7*v + 8. Let d be x(-6). Suppose 4*s + 16 = 3*a + d, -2*a = -2*s - 8. Determine f, given that f - 2*f**a + 0*f**2 - 5*f = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 0*v - 3*v)*(-3*v - 3*v + 5*v) + 3745*v**2 + 5381*v - 5381*v.\nAnswer: 3744*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*j - 2*c - 8, 3*j - 5*c - 13 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14528 and 107434560?\nAnswer: 14528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 27*a**2 - 5 + 5*a**2 + 2*a**2 as d*a**2 + h*a + i and give d.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (2 - -6) - -5 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-32)\/i*i)*i)**(-18))**(24\/5) assuming i is positive.\nAnswer: i**(-14256\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3655*u + 1827*u + 36 = -1826*u for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**2\/2 + 125*c - 1. Let i be b(0). Let x be (28*i)\/((-1)\/2). What is x rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**5 - 185*v**4 - 1670*v**3 + 2940*v**2 + 37800*v - 38880 = 0.\nAnswer: -18, -6, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/328 and -79\/328.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1130099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3148543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, d: 4, m: 1, f: 1, p: 4, x: 1}. Give prob of sequence pgx.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121012110 - 0?\nAnswer: 121012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + g - 25 = -5*i, 5*i = -g + 109. What is the highest common divisor of i and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1\/2 (c) 0.1 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-30 + 9)) + -31 - -30 - (1 - 76).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4.4. Suppose -w - 4*v + 2 = -9, 5*w + 37 = 3*v. Let z be (1 - w\/(-2))*12\/(-90). What is the closest to 1 in m, 4, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) -7.7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18, -31, -28, -3, 50, 137, 264, 437?\n\"Answer: j**3 + 2*j**2 - 26*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, 2\/9, -3, -0.3, 241?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 = -4. What is the units digit of (r - -3) + (0 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 58360 = -3*q + 19920, -4*z - 26100 = -q. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/(-1) + 12\/8. Which is the third smallest value? (a) 0.3 (b) z (c) -2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 + 2*q**2 - 12*q - 12. Let y(n) = -5*n**3 - 3*n**2 + 28*n + 21. Determine -7*g(u) - 3*y(u).\nAnswer: u**3 - 5*u**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8615693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2124, 3456, 4776, 6078, 7356, 8604, 9816?\nAnswer: 10986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-16\/3)\/(z\/(z\/(z*z*z**6*z))*z)*z**(-13)\/(z*z**(-2\/7)\/z) assuming z is positive.\nAnswer: z**(-589\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 135, -82, -437, -924, -1537?\n\"Answer: i**3 - 75*i**2 + i + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*h + h + 0*h)*(-5 + 6 + 1) - 5 + 0 + 5 - 1019*h)*(-2*h**3 - h**2 + h**2).\nAnswer: 2046*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 21*i**2 + 78*i + 37. Let c be g(-16). Solve -c*x = -72*x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from 112.\nAnswer: 112.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 260, 1011, 1762, 2513?\n\"Answer: 751*v - 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 6470?\nAnswer: -1\/6470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7018.6255 rounded to the nearest one hundred?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 0, 3, -5, 8 in decreasing order.\nAnswer: 8, 3, 0, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/14, 595, 0.4 in decreasing order.\nAnswer: 595, 0.4, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 19 + 13 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -33531027, -67062061, -100593095, -134124129, -167655163, -201186197?\n\"Answer: -33531034*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3*j**2 - 4 - 2*j**3 + 5)*(-3*j + 0 + 0) as w*j**4 + r + m*j + i*j**2 + h*j**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 + 116 - n + 254)*(1 - 1 + 2 - n).\nAnswer: n**2 - 471*n + 938","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114076*l**4 + 75*l**2 - 113519*l**4 + 843*l**2 wrt l.\nAnswer: 13368*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-16) + (-609)\/2. Let m be (z\/(-10) + 4)*10. Let b = -186 + m. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -1\/20*k**5 + 0*k**3 - 1\/8*k**4 + 0 + 2*k**2 + 0*k. Find the second derivative of f(h) wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2993? (a) -4 (b) 3\/2 (c) -5 (d) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 3\/4, 5, -36 in increasing order.\nAnswer: -36, -3\/4, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 114582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 m when three letters picked without replacement from mhsm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 296222867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1161 divided by 387.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0072640425 rounded to 6 decimal places?\nAnswer: -0.007264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 1:40 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*i*n*o**2 - 465*i*n - 4*n*o**2 + 10*n*o - 2*o**2 + 14*o wrt i?\nAnswer: 4*n*o**2 - 465*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -13*z - 6. Let s be -4 + 2 - (3 - 5). Solve -2*j + 0 + z = s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151718331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1928 and -0.843.\nAnswer: -1625.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 603.429\nAnswer: -2413.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 23*m + 23 = -36*m, 6*l - 5*m - 17 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*k = 2*o - 290, -o + 50 = 2*k. Let a = 203 + -143. Suppose -65*n + o = -a*n. Calculate the smallest common multiple of 4 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30033 is divided by 612.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*h + 47568 = 1304*h for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/1372499?\nAnswer: -1\/1372499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -49 (b) 0.2 (c) 149 (d) -3 (e) -2\/17 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3071 - o**2 + 12*o**2 - 76*o**2 - 3183 + 1767 wrt o.\nAnswer: -130*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8.2512351 seconds?\nAnswer: 0.00229200975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6*4)\/((-324)\/34560*160)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l\/l**(-25))*l*l**33\/l*(l**(-2)\/l)**(-7) assuming l is positive.\nAnswer: l**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) + (-6)\/10. Let q be (0 - x) + -5 + 0. Let c(u) = 2*u**2 - u + 3. Is c(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*u - 6 = 27, -3*a + 3*u + 27 = 0. What is the common denominator of -69\/2 and ((-93)\/(-48))\/(1\/a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/11))**(-7\/12)*(o**(-8)\/o)**14 assuming o is positive.\nAnswer: o**(-16639\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 54*p**7\/35 + 21*p**6\/5 - 311*p**5\/15 + 58*p**4\/3 - 8*p**3 + 305*p**2. Factor r(c).\nAnswer: 4*(c - 1)*(c + 3)*(9*c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 17. What is the remainder when 37 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1536 = -10*j. Let f = -34 + j. List the prime factors of f.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 149, -3061, 2, -6\/7 in descending order.\nAnswer: 149, 2, -6\/7, -3061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 94*t - 1. Let a(u) = 473*u - 5. Let b(p) = a(p) - 5*i(p). Let n(y) be the first derivative of 0*y - 3\/2*y**2 - 1. Calculate b(n(w)).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30277373 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -3, 5 in descending order.\nAnswer: 29, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 9 - 11 = 0. Suppose 2*n = 5*c + 16, -k*n = -2*c + c. What are the prime factors of ((-2)\/c)\/((-1)\/(-58))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 595 and 2513875?\nAnswer: 2513875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 135264701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 927961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42015155 - -15?\nAnswer: -42015140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 26\/5 of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 4:32 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-4)\/20*-5. Let f be (52\/6)\/((-4)\/(-6)). Suppose 4*w + 3*k - f = 0, 5*k = -3*w + 10 + 8. Solve -7 = l*u - w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) -4 (c) -489\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-4) + 2\/(-4). Let b = r + 2. Let w = 5 - b. Solve w*h - 4 = -0*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4262ab + 2?\nAnswer: -4262a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -541 + 247. Let k = 296 + g. Solve 0 = m - k*r - 9, -m - 10 = 4*m + r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/4, 1499, -3\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2016833, -8067360, -18151581, -32269502, -50421129, -72606468, -98825525, -129078306?\n\"Answer: -m**3 - 2016841*m**2 + 3*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y - 21 = 59 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -0.18 (b) 4 (c) -3\/4 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702336 is divided by 3843?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1766944?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 6. Let l be p(-3). Suppose -2*d - l = 3. Let v(g) = -2*g**3 - 3*g**2 + g + 2. Is v(d) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -5. Let q = 4 - m. Let r(h) = 14*h. Let x be r(q). What is the highest common factor of x and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71267367 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-48) - (-115)\/20. Suppose 2976 = -k*l + 14*l. What is the greatest common factor of l and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 48*b. Let k(o) = -7*o - 10. Let d(h) = -4*h - 6. Let m(y) = -5*d(y) + 3*k(y). Give i(m(u)).\nAnswer: u**2 - 48*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 298 = -416. What is the highest common factor of 84 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 - -1558.3\nAnswer: 1503.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 157161701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 + 2 - 5 - -669 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*-2*sqrt(448))**2 - ((sqrt(448) - sqrt(448)*-1)*3 + -1)**2.\nAnswer: 96*sqrt(7) + 1016063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 3*t**2 - 2*t. Let a be r(2). Let n = -12 + 5. Let h = a - n. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 4*f**3 + 5 - 2*f**3 - 5*f**2 - 5*f. Let l = -3 - -8. Let k(y) = y - 2. Let a be k(4). Let x(h) = 2*h**2 + 2*h - 2. What is a*s(o) + l*x(o)?\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6188 = -518*p - 8316 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-4*n - 2*n + 0*n)*(0 - 1 - 3).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 - (-3 - (-6)\/15). Differentiate -6 + k**4 + 4 + k**4 - c*k**4 wrt k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 17526720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v + 9*v + 2*v - 4*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -307 - -610. Let u = p + -301. Factor -12\/13*i**u - 2\/13 - 2\/13*i**4 - 8\/13*i - 8\/13*i**3.\nAnswer: -2*(i + 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4 + 52091*h**3 + 312643*h**2 - 3177851*h - 3438402 = 0. What is h?\nAnswer: -11, -1, 6, 52097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 + 9.87. Let g = o + -10.46. Let y = -0.46 - g. Is y bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158.50857 rounded to the nearest integer?\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4*b - 3*b + 4*b + 15.\nAnswer: -3*b + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 69291381 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: Sort 28, -9, -2, -4, 3 in descending order.\nAnswer: 28, 3, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 + 16*h - 18*h - 56*h**2 + 2 + 71*h**2 - 63*h**2 - 2*h**3 + 0*h**3 as j + q*h + x*h**4 + p*h**2 + z*h**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 106 + 110 - 218 + 3*c as j*c + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 953376209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + d)*(3*d**2 + d - d) - d**3 + 0 - 1 + 0.\nAnswer: -4*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 297134? (a) 0 (b) 32 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 938342.3t to nanograms.\nAnswer: 938342300000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g**3 - 6*g**2. Let k(n) = 16*n**2 - 5*n**3 + 7*n**3 + n**2 + 9*n**3. Calculate -6*k(u) - 17*r(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*n, 6*n - 4*n = -4*d + 36. Let i be (2\/(-4))\/((-65)\/d + 4). Which is the closest to i? (a) 5 (b) 2 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, m: 1, j: 1, o: 3}. Give prob of picking 1 o, 1 j, and 2 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21396 + -19107. What is the remainder when p is divided by 207?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 69.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from oznxvxe?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 22992*l**2 - 2 + 23317*l**2 to z + o*l + r*l**2 and give r.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 - a**2 - 6*a**2)*(4*a**2 - 3*a**2 - 2*a**2) + (2*a + a**3 - 2*a)*(-a + 5*a - 2*a) + 5*a**4 - 6*a**4 - 2*a**4.\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 102*t**2 - 4066*t - 98. What is the units digit of r(43)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 429.532.\nAnswer: 429.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2440?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvp when three letters picked without replacement from qpvpt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 455869 + r**2 - 2*r**2 - 456235. Let z(g) = g**2. Determine h(z(x)).\nAnswer: -x**4 - 366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/15, 1, -1.6, 55252 in decreasing order.\nAnswer: 55252, 1, -2\/15, -1.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 3:27 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-16) + (-15)\/24?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 0) + 3 + -5 + 0 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 495 = 230. Calculate the remainder when 1002 is divided by l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 27*g**2 + 27*g + 60. Determine i(28).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 373726.\nAnswer: -3\/373726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24, 11, 566.2, -0.4, -7, -5?\nAnswer: 566.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4204 is divided by 1047.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.25 - 23.25. Let n = 3\/47 + 85\/141. Sort v, n, 1, -3\/4.\nAnswer: v, -3\/4, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**3 + 363*z**2 - 119*z + 3939. Determine c(-61).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2162*v - 2158*v - u + 52 = 0, 0 = -2*v - 7*u + 4 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 divided by -3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*o = -68, 0 = -4*q - 2*o + 3*o + 57. Suppose -4*d + 6 = -2. Suppose 0 = -4*p + d*p + 224. Calculate the greatest common factor of p and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - m = 2*m + 60, -4*f - m = 71. Let o = 48 + f. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -64 (b) 4 (c) -76359\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (115 - 125) + (2 - -18).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, -770, -1657, -2548, -3443, -4342, -5245?\nAnswer: -6152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oox when three letters picked without replacement from {o: 3, x: 11, i: 4}?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 29*g - 461. Let m be y(16). Let l(n) = n**2 + 3*n - 2. Let t be l(-3). Let j be t\/4 - 1\/(-2). Solve j - m = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*b - 32. Let l = -23 + b. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 263 + -122. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -29*l**5\/30 - l**3\/3 - 145*l**2. Let c(n) = -3*n**2. Calculate c(d(i)).\nAnswer: -10092*i**4 - 696*i**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000189 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 452 = 151. Let k = y - -258. Is k bigger than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/(-35)*6\/9*17\/612*84?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-36) - 2\/(-4). Which is greater: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/((-1)\/3). Let u = -6.3 + 1.3. Which is the third biggest value? (a) j (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -88888b?\nAnswer: 888883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-45) - (-132)\/108?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 - 0.07. Let c = x - 0.1. Let z = 1.62 - 4.62. What is the biggest value in -12, c, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15284720005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2222 (base 4) to base 16\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1033782161?\nAnswer: 1033782161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3365, -26903, -90789, -215195, -420293, -726255, -1153253?\n\"Answer: -3362*q**3 - 2*q**2 + 2*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -106226 or -106224?\nAnswer: -106224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 113, 169, 207, 221, 205?\n\"Answer: -z**3 - 3*z**2 + 72*z + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/16 and 66\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 850002*s + 2. Let g be u(-1). Round g to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400, 827, 1254, 1681, 2108, 2535?\nAnswer: 2962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*k + 9, 0*k + 28 = 2*c - k. Let u(j) = j**3 - 12*j**2 - 13*j - 1. Let x be u(c). Let g(z) = -z - 1. Let h(d) = d + 2. What is x*h(o) - 3*g(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -23309010 rounded to the nearest ten thousand?\nAnswer: -23310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*b**3 + 134*b**3 - 62*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 165.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 3 - 3)*(2 - k**4 - 2) + 2*k**5 - 3*k**2 + 3*k**2 + 2*k**5 + 0*k**5 + 0*k**5 - 2*k**4 + 2*k**4 + 3*k**5 - 3*k**5 - 3*k**3 + 3*k**3.\nAnswer: 3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbmlghmhlmhmkhh. What is prob of picking 2 h and 2 l?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34671, 69332, 103981, 138618, 173243?\nAnswer: 207856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -413, -5 in increasing order.\nAnswer: -413, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/((-6279)\/3276)\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r - 3. Let l be 2\/(-4) + 33\/(-22) + 1. Let n(u) = -7 - u - 10 - 11 + 27. Let t(a) = l*z(a) + 3*n(a). Let b(g) = -11*g. Determine t(b(o)).\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1184\/59 or -1?\nAnswer: -1184\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1953 - -1969. Calculate the remainder when 257 + (-15)\/(6 + -1) is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3158 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.095021 minus 6?\nAnswer: 59.095021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444*g**3 + 23187 - 23187 + 111*g**3.\nAnswer: -333*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3715944 is divided by 44.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 7:43 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + -2111?\nAnswer: -2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 9:54 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7788 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 6 = 21. Suppose -2*q - u = -3*q. Let a be 2 - (-1 + 2)*9. Let s(h) = 2*h. Let g(x) = 3*x. Calculate a*s(y) + q*g(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 12 - 4*y - 6 + (2 - 1 + 1)*(-y + y - 2*y) to z + k*y and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3948*u. Let t(c) = -43445*c**2. What is t(x(i))?\nAnswer: -677164355280*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**3 + 3*m**2 + 2*m - 3. What is f(-3)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*j**2 + 1)*(0*j**2 - 2*j**3 + 0*j**2) + 4*j**2 - 4*j**2 - 2*j**5 + 2*j**5 - j + j - 1180*j**4 + 33*j**5 + 1180*j**4.\nAnswer: 29*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22310031 + -13?\nAnswer: -22310044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 49499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {d: 5, z: 2, r: 1, e: 2, n: 4, m: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3556663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a**4 - 9*a**3 + 7*a**2 - 3*a + 3. Let h(d) = -9*d**4 + 8*d**3 - 8*d**2 + 4*d - 4. Let z(s) = -3*h(s) - 4*n(s). Find g such that z(g) = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 - 15*v + 521. Let k be x(11). Let o(q) = -4*q - 1. Let s(f) = -12*f - 3. Determine k*o(g) + 2*s(g).\nAnswer: 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 205, 212, 209, 190, 149, 80, -23?\n\"Answer: -t**3 + t**2 + 11*t + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -928, -2936, -6290, -10990, -17036, -24428?\nAnswer: -33166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/162 and -49\/10?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 13*n - 414. Let f be k(32). Suppose 3*w - 10 = w, 0 = 2*j - 2*w + 4. Suppose -2 = -j*m + 4. Solve t + f*t - 4*x = 17, 0 = -m*t + 2*x + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 321286 and 18552751.\nAnswer: 3031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, -2, -10?\n\"Answer: -8*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 145*o + 13. Let b(a) = -145*a - 11. Let x(m) = 7*b(m) + 6*d(m). What is the derivative of x(j) wrt j?\nAnswer: -145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.1 + -3. Let v = 0.1 + q. Let p = -1 + 0.7. Which is the third biggest value? (a) v (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -597 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-99)\/(-2)*-2)\/(24\/(-32))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + s = 4*s + 30, 2*b + 2*s = -8. Let h(p) = -p**3 - 46*p**2 - 49*p - 179. Let v be h(-45). Let w be b + 1\/v*-3. Which is smaller: -21\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 750787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {a: 2, h: 4, t: 2, x: 3, c: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, -31, 3, 5 in decreasing order.\nAnswer: 11, 5, 4, 3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 282*c*t**4*u + 45*c*t**2*u - 2*c*t*u + 2*c*t + 50*c*u - 210*t**4*u + 61*t**3*u - 2*t**2 - 12*u wrt t?\nAnswer: 6768*c*t*u - 5040*t*u + 366*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(245)*3 + sqrt(245))**2 + sqrt(245)) - (5*(1 + sqrt(5)) - sqrt(60)\/(sqrt(48) + sqrt(12)))) + 3.\nAnswer: 70*sqrt(5)\/3 + 15678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20 - 17 - (-21)\/(-9). Factor -4\/3 + d*j**2 + 2\/3*j.\nAnswer: 2*(j - 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 9\/(81\/(-48))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*1*(-4)\/(-20). Let v = 4202 - 12470\/3. Let k = v - 46. Which is smaller: k or j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*sqrt(117))\/sqrt(9).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46000 divided by -2.\nAnswer: 23000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 292563268712?\nAnswer: -292563268712.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 8*i - 6. Let r be y(-9). Let h = r + 2. Which is the closest to 0.1? (a) -2\/7 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1090 and 180?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 3*m - 4*s, -7*m - s = -4*m + 46. Which is the second biggest value? (a) m (b) -2\/5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-12))\/((-13376)\/(-43776)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 9:17 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -803*f*h*t**3 + 201*f*t**3 - 10*f - 7*h*t - h - 2414*t**2 wrt t?\nAnswer: -4818*f*h + 1206*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1232 and 1765568.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -10 (b) 0.2 (c) 0.1302 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-16))\/((-1)\/(-4)). Which is smaller: g or -11\/6?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p - 4. Let v be g(-2). Suppose -104*d + 97*d + 105 = v. Solve 0 = -4*a - d - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -917*c - 10092. What is v(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c + 12 = -4*x, -2*x - 3*c + 4 = 0. Let r be x\/(-3 - (-274)\/92). Suppose 0 = 5*k + 4*f - 37 - 19, -2*f + r = 4*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*u + 10 = 0, -f - 34 = 4*f - 4*u. Let m(r) = -r**3 - 6*r**2 + 8. Let o be m(f). Is 8 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millennium in years?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*f + 247*f - 563 + 563)*(-6 + 6 + 22) + (-2 - 4 + 4)*(0*f + 2*f - f).\nAnswer: 5740*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3157*r**3 + 3*r**2 + 2*r + 2. Is p(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a**(3\/2)*a)\/((a\/(a*a**(-4)*a))\/(a\/(a\/(a\/(a*a**6))))) assuming a is positive.\nAnswer: a**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-6)*(-27)\/(-36)*(6 - 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*i**2 - 22*i**2 - 79*i**2)*(-2 + 2*i + 2) + (i + 1 - 1)*(-5*i**2 + 4*i**2 + 3*i**2) to m*i + r + v*i**3 + f*i**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8638, 17279, 25918, 34555, 43190?\nAnswer: 51823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -242*h**5 - 368*h**2 wrt h?\nAnswer: -14520*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjd when three letters picked without replacement from {d: 1, x: 1, j: 2, p: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0492 - -0.2492. What is the nearest to -1 in 0.09, -1\/6, q, 4\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -24*v + 75. Calculate the remainder when 32 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24564 + 24563.89. Let t = -46 + 46.4. Let n = 163\/637 + -5\/49. Which is the third biggest value? (a) z (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 22. What is the smallest common multiple of z(-10) and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqkqkkkrqkrqkqrqqqk. What is prob of sequence kr?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -40, 0.078, 5, 0.03, 1\/4?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1049 + 25181\/24. Let x(h) be the third derivative of 0*h**3 + 1\/20*h**5 + 0*h + 0 - 4*h**2 - n*h**4. Find the second derivative of x(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 23*v + 56. Let x be (-280)\/350 - (-6)\/(-5). Let l(m) = m + 8. What is the lowest common multiple of l(6) and z(x)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + -5 - (-15533)\/21. Let q = h - 742. Factor q + 10\/9*i**2 + 14\/9*i + 2\/9*i**3.\nAnswer: 2*(i + 1)**2*(i + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41 - 5?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -41\/54?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.443 and -4.5.\nAnswer: -1.9935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/(2541\/(-576081)) - (90\/14 - 6)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 960436 and 59.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 4:06 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -401632 (base 8) to base 3\nAnswer: -20201001200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 2\/15*q**3 - 1\/30*q**4 - 3*q - 1\/5*q**2 + 0. Let x(l) = 0. What is l?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153895579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (36\/28)\/3 - (-16)\/420 and 25\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -w - 75. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315)\/(sqrt(9)*-1))\/(-2*sqrt(28)\/sqrt(4)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, -0.377, 7 in descending order.\nAnswer: 7, 0.1, -0.377, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-5) + (-528)\/15 + -1. Which is smaller: -38 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6) - (-102)\/18. Suppose z*s = 12 + 8. Solve -s*q - 2*d - 13 = 3, -3*d = -q + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -1\/4, -1, 5, -99?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 489 and 8?\nAnswer: 3912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1999 - 1995. Solve l*t + 4 = 6*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*3\/25 + 93\/(-5). Let s be (3\/(-9))\/((-51)\/t - 3). Solve -h + a - s*a + 1 = 0, 29 = -3*h + 5*a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*t = -9, x = t - 0*t - 4. Let d = 3 + -2. Let k = -1 - -0.8. What is the nearest to d in k, -0.4, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a + 22*a - 147*a to the form m*a + z and give m.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 475428 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, c: 5}. Give prob of picking 1 c and 2 f.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j + 7. Let a(p) = 11*p - 15. Let b(y) = -4*a(y) - 9*m(y). Let c be b(8). Suppose c*s - 5 + 0 = 0. Are s and 8\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 32. Let l = -10 + -19. Let h = k + l. Is h greater than -1\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, y: 1, i: 1, s: 1}. Give prob of picking 1 s, 1 y, and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 6 + 4)*(i**2 - i**2 - 2*i**2) + 3*i**2 - 2*i**2 + 0*i**2)*(-i - 5 + 22 - 11) as b*i + y*i**3 + u + w*i**2 and give w.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 233743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/3 - 168032*o**2\/3 - 1164540750*o + 501460901028.\nAnswer: -2*(o - 422)*(o + 42219)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)\/sqrt(6) - (((sqrt(3) + -2 - sqrt(3)) + sqrt(3))*3)**2.\nAnswer: -63 + 38*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -5*d**4 + 115*d**3 - 85*d**2 - 535*d - 330 = 0.\nAnswer: -1, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 l, and 1 x when three letters picked without replacement from lxxhxslx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + 53440655?\nAnswer: 53440634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + l. Let p be g(1). Suppose -p*a - 11 = 17. What is the common denominator of 19\/5 and 1\/(-18)*(-2 + a)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/7 in 73\/4, 3329, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 8:56 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -110011100?\nAnswer: -110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h - 468 = -180 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2. Let n(t) = -4625827*t**2. Determine n(i(s)).\nAnswer: -18503308*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - (-375)\/36)*-2. Is -10 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -5\/23 (b) -2\/5 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - z**2 - 1. Let x(t) = 3*t**3 + 6*t**2 - 2*t + 8. Let f(w) = 4*q(w) + x(w). Let v be f(2). Solve -2*p + 0*p - 2 = v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = t + 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 3*o - 9, -4*u + 2*o = -22. Solve 3*t = -3*p + 6, -u*p + t = -4*t + 37 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/16)\/(18*(-170)\/1836)*4\/(-14).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -2512.\nAnswer: -5\/2512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102021 - 102122002222?\nAnswer: -102122112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/9*6\/(-4))\/(-45). Let n(l) be the second derivative of 0 + 1\/18*l**4 + 1\/30*l**5 + p*l**6 - 4*l + 0*l**2 + 1\/27*l**3. Find w such that n(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 2. Let m be a(7). Calculate the greatest common divisor of 1251 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-15) + 2\/6. Suppose 0 = -2*y - 4*h + 22, 0 = y - u*y + h - 13. Suppose 0 = q + 4*q - y. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 30*t - 1196. Calculate w(38).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(13\/5)\/k)\/k*k**11)**(-7\/5))**(-25) assuming k is positive.\nAnswer: k**441","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -8 - 8) + 5 + (1 - (-2 - -53))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Suppose -4*b - 4*a = 4, 8*b = 5*b + 3*a + 15. Suppose 6 = 6*s - 0. Sort -6, s, b, p in ascending order.\nAnswer: -6, p, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 5*w**3\/3 - 95*w**2 + 1805*w - 90. Determine i, given that z(i) = 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/1900 + 761\/1900. Suppose 2*h + 2*h - g = 16, 3*g + 21 = 3*h. Determine b so that 0*b - p*b**h + 0 - 2\/5*b**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - ((1 - 0) + -1). Suppose 0 = -13*q + 8*q + 15. Solve q*i + 2*x - v*x - 10 = 0, 6 = -3*x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/64 and -93\/2392.\nAnswer: 19136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-12))\/(-1) + (-14)\/(-8). Solve 2*p = -2*a - o - 2, -3*a + 3*p = -6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 171.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1363949395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 44093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a milligram in micrograms?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 6*r + 4*r)*(163*r - 9 - 170*r - 2)*(-4 - 2*r + 4).\nAnswer: -42*r**3 - 66*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 42, -6\/215, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epzpeep. Give prob of sequence ee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 261*w**2 + 4154*w + 13. Give h(-16).\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10178420 and 41860?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (2 - 0) - 3 - (20 - 28).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 86070.\nAnswer: 860700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.253 - -0.047. Which is the closest to 2? (a) k (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w = 2*g - 606, 0 = -5*g + 4*w + 1560. Suppose -2*m + g = -222. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 12:05 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**2 - 320*h - 316 = 0. Calculate h.\nAnswer: -79, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 7*d + 23. Let l be s(-7). Let f = 1569 - 1537. Is l greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/(-14))\/(1\/4) + 22. Suppose p = -8*c + 5*c. Let w be (-1 + (-33)\/(-9))*(-30)\/c. What is the highest common factor of 6 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 12 + 7)*(3 + 0 - 5) + (-1 + 3 + 0)*(3 - 4 - 1))*(3 - 2*o**2 - 3).\nAnswer: 88*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-1)*24\/30. Let y = 47.4 + -50.4. What is the smallest value in -0.4, z, y, -1.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*r + 75*r = -186. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*9*(-7)\/(-42).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 301273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30744 and 1098.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, t: 1, k: 1, u: 4, v: 1}. Give prob of picking 1 w, 1 t, and 1 v.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/7*4\/(-5). Let q = 14.194 + -0.194. What is the fourth biggest value in v, -5, -1\/9, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 - -2. Let d = g + 212. What is the common denominator of (d\/4)\/(3\/(-2)) and 51\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78375 and 6303.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122062.\nAnswer: 2, 61031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26836, -99053, -216650, -379627, -587984?\n\"Answer: -22690*y**2 - 4147*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95724 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 4 = 3, 0 = -5*m + 3*a - 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*j**4 - 5*j**3*q - 55146*j**3*u**3 + 8*j**2*u**3 + 87*j*q + 3996*q*u wrt j?\nAnswer: 624*j - 30*q - 330876*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/9)\/p*p)**(1\/39)\/((p**(-2\/19)\/p)\/(p*p\/((p*p\/p**(3\/2)*p)\/p)*p)) assuming p is positive.\nAnswer: p**(48163\/13338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 12. Suppose -2*a - 5*v = 2*a - 36, 5*a + n*v = 45. Suppose a + 226 = 5*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 18. Let v(l) = -l**2 - l. Let i(c) = -c**3 + 2*c**2 + 4*c + 1. Let u(z) = i(z) + 2*v(z). Let w be u(-2). Solve -w*f + 2 = -d*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1 (c) -5 (d) -8 (e) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z - 11*z - 27 + 50.\nAnswer: -2*z + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqtpt. Give prob of sequence pt.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 42 = -3*j + 54, 0 = 4*j - 4*w + 40 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 41, 57, 71, 83, 93, 101?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -291, -1, 2, -5, 25, 1.\nAnswer: -291, -5, -1, 1, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/20)\/(234\/(-65))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 10:03 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1770 + 5*z - 3*z + 0*z + 4 + 197.\nAnswer: 2*z + 1971","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128659442 + -128659138.000685. Let k = -304 + u. Round k to five decimal places.\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -79, -3\/31.\nAnswer: -79, -25, -3\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -756967180267551 + 0.1\nAnswer: -756967180267550.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/8 of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3940620.0999952 - -3940623. Let m = -2.9 + g. What is m rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1250, 2482, 3688, 4856, 5974, 7030?\nAnswer: 8012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 170 (base 11) to base 14\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + (10 - (103 - 61))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.20099 - 21.2. Round u to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -77*s - 646. Calculate j(-9).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-7)*((-5)\/4)\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 371 - 189. Suppose -57 = 5*n - i. Suppose w + 20 - n = 0. Solve w*d - b + 7 = 0, -2*b = -2*d - 1 - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*z, 0*z - 3*z = -3*r. Suppose -4*a + 10 + 30 = r. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -2*h - 20. Let p = h + 0. Let q(a) = -9*a + 1 + p*a - 5*a. What is q(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 7456927?\nAnswer: 6\/7456927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81780 and 3218560.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4046 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: What is 324 minutes after 10:43 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, u: 3}. Give prob of sequence uu.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21 - (15\/(-3))\/5. Suppose h = 6*q - 4*q. Suppose -47 + 7 = -4*l - 4*k, 2*l = 5*k + 27. What is the highest common factor of l and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-3)*(1 + 0). Let k(b) = b**2 - 4*b + 3. Let z be k(t). Suppose -33 + 462 = z*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3081 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: In base 16, what is 225d + 0?\nAnswer: 225d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1751, 3424, 5005, 6494?\nAnswer: 7891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**3 + 28*v**3 - 39*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 308*a**2 + 7*a - 11. Is c(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18986, -19273, -19560, -19847, -20134, -20421?\n\"Answer: -287*i - 18699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28.8 - -15.4. Let k = -13 - s. Which is the smallest value? (a) -3 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, 17, 31, 45, 59?\n\"Answer: 14*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/12)\/3*2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -193.\nAnswer: 13\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1980) + sqrt(1980) + sqrt(1980) + -2*sqrt(1980))\/((-2*sqrt(77))\/sqrt(7)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -249*a**2 - 5*a + 83. Let u(j) = 12450*j**2 + 249*j - 4150. Let y(t) = -249*b(t) - 5*u(t). What is the first derivative of y(d) wrt d?\nAnswer: -498*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**2\/2 + 35550*g + 126380250 = 0.\nAnswer: -7110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*f**3*o**2*y**3 - 1012*f**3*o*y**3 - 103*f**2*o**2*y**3 - 2*f**2*o**2 - 2*f**2*o*y**3 + 281*o*y**2 wrt f.\nAnswer: -204*o**2*y**3 - 6072*o*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4154149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**3 - 17*l**2 - 5*l - 5. Let f(k) = -2*k**3 - 16*k**2 - 4*k - 4. Suppose -35 = -3*s - 4*p, -5*p - 17 + 47 = s. Calculate s*f(q) - 4*h(q).\nAnswer: 2*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31482 divided by -297.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 8*n - 7. Let l be a(-9). Let q(r) = 6*r - 19*r + 7*r + 1 - r**l. Let w = -32 + 29. Give q(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484\/3 bigger than 162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 10:43 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -2, 5052, -53 in decreasing order.\nAnswer: 5052, -2, -5\/2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10370.742 + -10380. Round s to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 j, and 1 h when three letters picked without replacement from jxrxxjrrrxxxxhrjjhj?\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 698161\/9 + -77669. Which is the smallest value? (a) 0.2 (b) 1\/4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17389.434s to minutes.\nAnswer: 289.8239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 3)*(3 + -2). Suppose s = 3*h - 3, -k*h - s = s - 10. Suppose 1949 = -h*c + 3*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 1 - (2 - -215). Let a = g - -385. Let k be 666\/36 - (-10)\/4. What is the highest common factor of k and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7605 and 506025.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.3, -1, 1, -2\/7, -4\/7, -0.2?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k**3 - 8*k**3 + 53 + 19 - 7*k**3 - 45 to the form u + z*k + b*k**2 + m*k**3 and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 280*z + 279*z - 134*z**2 + 283*z - 852*z in the form n*z + o + a*z**2 and give a.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8864)\/(-3324)*5\/(-2)*18\/(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23902 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3, 2689, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/12 - (-27854)\/5700. Let g = h - 1513\/400. Find the common denominator of 137\/186 and g.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-336)\/(-80))\/(11\/55)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226486428 divided by 98?\nAnswer: -2311086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o**(3\/8)\/o)\/o)*o**14\/o assuming o is positive.\nAnswer: o**(125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43619301 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 18, -8, -5, -3, -56 in ascending order.\nAnswer: -56, -8, -5, -3, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7110312527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**0*w\/(w**(4\/5)*w)*(w*w*w**(-2))**(-45)*((w**6*w)\/(w\/(w*w\/(w\/w**(1\/3)))*w))\/((w\/(w*(w*w*w**(-4\/9)\/w)\/w))\/w**(8\/3)) assuming w is positive.\nAnswer: w**(349\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3\/24*-2)\/((-119)\/4403) and (-2)\/(-10) + (-2466)\/(-420).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, f: 1, r: 7, o: 1, b: 4}. What is prob of sequence rbo?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**3 + 234543*q**2 + 4583849736*q - 13753660176 = 0.\nAnswer: -39092, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -24651.091 minus 0.1792?\nAnswer: -24651.2702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 530464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155 and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -4.40352, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 + 652?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + i - 2. Let k be j(-3). Suppose 0 = 5*o - k*g - 6, -g = 5*o + 2*g - 13. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c5 + 4?\nAnswer: c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*z**2 - 2*z**2 + 4*z**2)*(11*z + 3 - 2 - 1) as v*z**3 + p + o*z + y*z**2 and give v.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96 + -2 + 18 + (-12 + 60 - 45).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 + 3*o**2 - 98 - 3*o**2.\nAnswer: -2*o**3 - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1800, -3791, -5782, -7773, -9764?\n\"Answer: -1991*z + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1484)\/(-308) - ((-26)\/22 - -1). Solve 0*i + u = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.92 - 3.920342. What is o rounded to five decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 60304946 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1280 (b) -10 (c) 1\/3 (d) -1\/4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3272 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2539\/17 at most as big as -148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**5\/7 - 68*m**4\/7 + 440*m**3\/7 - 1336*m**2\/7 + 1860*m\/7 - 900\/7 = 0 for m.\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(((-30)\/(-20))\/((-3)\/(-4))). Suppose y = 2*a + 3*o + 3, a + 4*o + 9 = -0*a. Solve 6*p = a*p - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/19 (b) -0.9 (c) -5 (d) -6 (e) 4 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -209\/2 + 72. What is the common denominator of 11\/8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -0.2006395279091?\nAnswer: -1.7993604720909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 273 and 6?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/4 - (198\/(-36) + 4). Suppose -q*b + 9265 = f, -2*f + 1610 + 7660 = 5*b. List the prime factors of b.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 e when three letters picked without replacement from {w: 3, a: 10, d: 4, e: 1, p: 1}?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*h - 97. Let n be (-2)\/3 - (-196)\/6. Suppose -i - 3*i + n = 0. What is the highest common factor of i and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {k: 3, v: 1, w: 2, n: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 8473 = -2097. Suppose 5*s + h = 7425. List the prime factors of s.\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 638 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -9. Let d(p) = p**3 - 27*p**2 + 25*p + 31. Let f be d(26). Suppose -f*y = -k*y + 60. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 37332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 356533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 15*k + 195 = 0. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -526646 divided by 1\nAnswer: -526646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20822178 to the power of 1\/2, to the nearest integer?\nAnswer: 4563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*o + 3 = 0, -9*o + 2 = -4*t + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*a - 564 = -221*a + 480. Sort a, -4, 13 in decreasing order.\nAnswer: a, 13, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -72015543.\nAnswer: -8\/24005181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -6. Let t = 99 - 104. What is the second smallest value in b, -2, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136472 to the power of 1\/2, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 479925.4ng to kilograms.\nAnswer: 0.0000004799254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + (1*sqrt(448) + 3 - sqrt(448) - 3*(sqrt(448) + -3 + sqrt(448)))*5)*-6)**2.\nAnswer: -3801600*sqrt(7) + 58496400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 13*c + 41, -2*d = -4*c - 14 - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 + g**3)*(-398*g - 6661*g**2 - 388*g + 786*g).\nAnswer: -6661*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(-6*(sqrt(6480) + -1 + sqrt(6480))*6)**2.\nAnswer: -201561699 + 1119744*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*v = -322 + 322. Solve v = -2*f - 4*s - 16, 3*s + 4 = -f + 2*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 690 = 252. Let x be 1603 - ((-2)\/(-2) + -2). Let p = i + x. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*o - 33 = 12*o + 1122 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135471 and 32255?\nAnswer: 677355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/2 + 2 - 2. Let l = 12 - 20. Let p = -6 - l. Put p, r, 5 in descending order.\nAnswer: 5, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 2522800?\nAnswer: -2522804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, -15, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 4*v**2 - 11 + 1\/3*v**3 + 5*v. Let f be k(-8). Solve -5*a - f*b + 6 + 9 = 0, 4*a = 5*b + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/(-69)*((-75)\/10)\/15)\/(3\/(-324)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k**2 + 2*k**2 - k - 3 + 10*k**2 + 1. Let j(b) = -b**3 + 31*b**2 - 6*b - 11. Calculate 2*j(c) - 11*q(c).\nAnswer: -2*c**3 - 4*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1821*s - 18. Let w(p) = -3132120*p + 30957. What is 10319*g(j) + 6*w(j)?\nAnswer: -1821*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w**3 - 29*w + 21. Let o(z) = 12*z**3 - 44*z + 32. Let g(r) = 8*i(r) - 5*o(r). Solve g(u) = 0 for u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116400 and 22779480?\nAnswer: 227794800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(275)*-1 - (((-3 + sqrt(275))*1)**2 + sqrt(275))) + 2 + -6*(sqrt(275) - (sqrt(275) + 1) - sqrt(275))**2*5.\nAnswer: -8562 - 250*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7723018?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*s + 15*s - 1003 = -43 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14319, -58436, -132351, -236064, -369575, -532884, -725991?\nAnswer: -948896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19, -138, -455, -1066, -2067?\n\"Answer: -16*o**3 - 3*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651427716.\nAnswer: 2, 3, 433, 125371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -12 - -2) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {z: 6, t: 2, s: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*h + 8. Let g = -256 + 468. Suppose g = t + i, h + 3 = i. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i = -42*i - 45 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4101726 divided by -11?\nAnswer: 4101726\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 + 2)*-1 - 3070\/(-420) and 10\/77.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (-3*(sqrt(133)*-1 - sqrt(133)) + sqrt(133)))\/(sqrt(28)\/sqrt(4)*5).\nAnswer: -6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.4 + 29.4. Let l = x + -21. Is l > -125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2462 - 2149. Solve m = 5*x + 338 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94409547 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 0.5, 4\/127, -3, 0.25?\nAnswer: 4\/127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -247.9935 rounded to 0 dps?\nAnswer: -248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15.493 (b) 1\/4 (c) 4 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-13))\/((-3)\/22*(-128)\/(-48))\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 13*v + 8*v = -6, 2*v = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -101*p**2 - 13*p + 10. Let a(r) = -34*r**2 - 4*r + 3. Let b(q) = -7*a(q) + 2*m(q). Suppose 0 = y - 4*y + 3. Is b(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 23. Let h be ((-15)\/t)\/((-9)\/24). Suppose -23*a + 9 = -h*a. Solve a*b + 12 = -b, -b + 2 = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 42*b. Suppose 5*g + 1237 = 8147. Let q(u) = 1382*u + 2*u**2 - g*u. What is q(l(r))?\nAnswer: 3528*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10, 79, 282, 691, 1378?\n\"Answer: 12*l**3 - 5*l**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -4*h + 4*w, -5*h + 13*w + 308 = 15*w. What is the remainder when h is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.27763 months in decades?\nAnswer: 0.99398025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v. Let k(m) = 2*m + 2409. What is g(k(s))?\nAnswer: -14*s - 16863","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 10. Let r be (-3)\/m + (-27)\/6. Suppose -3*n - 3*q + 23 - 5 = 0, -n + 4*q = 19. Sort r, -3, n in ascending order.\nAnswer: r, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eewewwe?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from gggggnggn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4546 - -4638. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3*u + g**2*u**3 - 535*g**2*u + 244*g**2 + 23*g*u**2 + 7738*u**3 wrt g?\nAnswer: -6*g*u + 2*u**3 - 1070*u + 488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4050.54 rounded to 0 decimal places?\nAnswer: -4051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h - 139. Let j(u) = 5*u + 142. Calculate -2*j(x) - 3*w(x).\nAnswer: 5*x + 133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n + 9 = 0. Suppose 0 = -2*i - i + n*q + 12, 9 = 3*q. What is the least common multiple of i and (-3 + -1)*2*-1?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -10*g**2 - 13. Give x(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -61438412*x. Let c(n) = 12*n. Determine i(c(r)).\nAnswer: -737260944*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/19992 and -13\/210?\nAnswer: 99960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390 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: What is the fifth biggest value in 2\/11, -0.4, 0, 0.3, 5, -7.64?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*3\/(-5)*(-7 - -8). Solve d - 1 + z = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*h - 128*h - 2*h**3 - 48*h**2 + 3 + 41*h + 50*h - 23 in the form a + d*h + o*h**2 + z*h**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 3)\/(2 - 3). Let m(y) = -11*y**3 - y - 1. Is m(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i*i**3*i*i*i**10*i*i**(-1\/8)*i*i\/(i\/(i\/i**10*i)) assuming i is positive.\nAnswer: i**(95\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1587*u**3 + 4*u**2 - 4*u**2 + 1416*u**3 + 7051*u**3.\nAnswer: 6880*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/3475, 1\/3, 25?\nAnswer: 6\/3475","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3))**(-7\/2)*i**(-3)*i\/i**(-8) assuming i is positive.\nAnswer: i**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*b + 36 = 231, -i + b + 50 = 0. What are the prime factors of i?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -18*((-14)\/4 - -1). Let o(d) = 2*d + 112. Let k be o(-7). Let x = m + k. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + 11 - -33) + (5 - -3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.419387 decades to centuries.\nAnswer: 0.9419387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102 + -49. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 0)\/2 - 129. Let j = -30 - q. Suppose 0 = -5*y + 3*z + j, -3*y - 29 = 4*z - 82. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 218\/(6\/40*6). Let a(o) = 3*o**2 - 57*o + 10. Let y be a(12). Let x = c + y. Sort -3, -4, x in decreasing order.\nAnswer: x, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 32*u + 4. Let r be m(16). Suppose 0*j - 2*j = -r. Let g(f) = f - 1. Let s be g(4). Solve 4*i + 18 = s*q - 13, 0 = j*q - 2*i - 18 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36116801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527618.\nAnswer: 2, 7, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018208 to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 59.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 118.5, -0.4, -37, -0.047?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5*k + 15682 - 15737 = 0, -5*k = 3*t + 7 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 5*q = 27, 0 = -202*m - 4*q - 144 + 2370 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, g: 3, q: 4}. Give prob of picking 1 g and 1 m.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**3\/3 + d**2\/2 + d + 5. Let k(w) = 2*w**2 - 5*w - 5. Let g(l) = -6*c(l) - k(l). Determine g(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3368 and 3094.\nAnswer: 6462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -680 + 679.59. Let z = g - -0.91. What is the closest to 24 in 2\/11, 1\/4, -3\/8, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 11*p + 21. Let f be j(12). Suppose 16 = 5*c - f. What is the second derivative of -3*q + 8*q + 191 - 191 + 25*q**c wrt q?\nAnswer: 500*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -2951.15\nAnswer: 11804.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/9 + 3922*i + 141224\/9 = 0. Calculate i.\nAnswer: -4, 17653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2\/14 + 15\/140)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 3*w = -5*r + 25, -2*r = -4*w - 22. Calculate the remainder when w\/(-27) - 1288\/(-36) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80214?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 4)*(-3*c + 2*c + 2*c)*(-9 - 17*c + 9).\nAnswer: 51*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, l: 2, c: 2, n: 1, d: 1, s: 1}. What is prob of sequence dlk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiwfiiifc. Give prob of picking 1 c and 1 f.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 2*l**3 + 0*l**3)*(-5 + 5 - 3).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -23 + 8 + 2 + 12. Let m(l) = -2*l - 7. Calculate m(d) - 6*o(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-18) - 136\/(-3). Suppose -i = -2*q + 6. Calculate the remainder when q is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/z**(-1)))**(-4))**(6\/5))**(26\/7) assuming z is positive.\nAnswer: z**(624\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16*-884950.\nAnswer: -141592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.106 + -69.606. Let w = -69 - c. What is the nearest to -2\/7 in w, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6987 times -895?\nAnswer: -4205.3365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.536 + 19. Let d = b - -22.776. Let k = d + -22. Round k to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 180 = 3*j, -3*z = 3*j - 0*z - 180. Let d be (-220)\/(-88)*(-354)\/(-20) + 6\/8. Calculate the highest common divisor of j and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 20. Let q = 249 - 238. What is x(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 18730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 18 = -4*u, 4*u - 610169*m = -610172*m - 14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3962836638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**6 - 492*p**4 + 761*p**2.\nAnswer: -120*p**3 - 11808*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**3 + 2*w**2 - 1. Let u be g(1). Let x = 190\/17 - 2430\/187. Let t = x - -82\/33. Which is the nearest to 0.1? (a) -1\/4 (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4676866217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2848 + -1671. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 11 = 2*r - 2, 0 = -2*r - 4*i + 6. Let o be 54\/(-90) - (-18)\/5. What is the smallest value in -0.02, r, -0.3, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127.99 times 2040\nAnswer: -261099.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103613415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8173*u - 8315*u + 16322*u.\nAnswer: -166*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 111 = -1. Let x be 332\/q - 4\/(-28). Calculate the highest common factor of x and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((sqrt(132)*2 + sqrt(132))*1 - (sqrt(132)*1*-2 - sqrt(132))))\/(sqrt(108)*2 - sqrt(588)*-2))**2.\nAnswer: 99\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8, -28, -48?\n\"Answer: -20*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/21)\/(1356\/(-1582))*52\/6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 131*b**2 - 131*b**2 + 6*b**4 - 11*b**4 + 20*b**4 - 2*b**4 + (4 - 1 - 2)*(0*b**4 + b**4 + 0*b**4).\nAnswer: 14*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 - 22*x**2 + 41*x - 22. Let r be k(9). Let p = -37 + r. Do p and -14 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**4\/o**(-5))\/(o**(-3)\/(o*o\/(o*(o**4\/o)\/o*o))))**(1\/25))**(20\/7) assuming o is positive.\nAnswer: o**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 - 37 + 53645*o**2 - 68643*o**2 in the form z + t*o**2 + k*o and give t.\nAnswer: -14998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -130, -477, -1148, -2251?\nAnswer: -3894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*c + 96 - 98 - 21*c.\nAnswer: -104*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 6) + 65 + -56. Suppose -3*w + 18 + l = 0. Solve w = 4*d - 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*m*z**2 - 4*m*z + 876074*m - 912*z**2 with respect to z.\nAnswer: -52*m*z - 4*m - 1824*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 562 + -1559. Let d = o + 991.63. Let m = -0.23 + d. Round m to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -0.04, -0.121, 31\/4?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + v + 80, 5*s + 4*v - 72 = 28. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.554 + 2.5. Let y = m + -0.406. Let p = y + 0.06. Sort 5, -0.3, p in ascending order.\nAnswer: p, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 34 + -134 + 97?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15146720*d**2 - 13863136 wrt d.\nAnswer: 30293440*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 smaller than 2.174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -5*m**4\/24 - 5*m**2. Let z be o(2). Is z < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.01841 + -2.02. What is q rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(10)\/sqrt(2) - (1 + sqrt(605)))**2 - ((sqrt(720)*-1)**2 + -5)) + (3 + sqrt(20) + sqrt(50)\/(sqrt(60)\/sqrt(6) + sqrt(10)))**2 + 1.\nAnswer: -551\/4 + 135*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168818 + 96135 = -2977*d for d.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 8*l - 7. Give v(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 minus 32085?\nAnswer: -32062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -220.33 times 12\nAnswer: -2643.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1033898980, 1033898978, 1033898976?\nAnswer: 1033898974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130.2889 - -0.1111. Round c to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/(-12))\/5 - 8\/(-24). Suppose g = -5*a - 2*i + 5*i + 3883, 0 = -2*i + 8. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/44)\/((-13)\/(-780)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -166735551*w**2 - 854*w + 81143?\nAnswer: -333471102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45659\/96 - -1429\/3. Calculate the common denominator of v and -5 - (78\/(-288))\/(12\/396).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p. Suppose 4 = -0*o + 2*o. Suppose 4*c - o = 6. Let y = 3 - c. Give h(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 * 0.01797\nAnswer: -0.30549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 0*b - 6*b**2 - 149\/24*b**4 + 179\/6*b**3 + 10. Differentiate n(k) wrt k.\nAnswer: -149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 times -88508\nAnswer: -159314.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75706 is divided by 12613.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*h*m**3 - 74688*h*m**2 - 12*h*m + h - 2*m - 28104 wrt m?\nAnswer: -270*h*m - 149376*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13631094?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48322*b*w**5 - 53408*b*w**2 wrt w.\nAnswer: -2899320*b*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Let g be m(4). Suppose 3*r = f - 2*f - 6, -g*f = 2*r + 4. Suppose 5*y = -f*y + 285. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**5\/60 + x**2 - 18. Let u(z) = 5*z**2 + 2*z. Give u(j(f)).\nAnswer: 5*f**4 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9343, -9658, -9973, -10288, -10603, -10918?\n\"Answer: -315*c - 9028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5537.05 and -2.\nAnswer: 11074.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**2 + 2*s - 1. Let l(c) = -c - 18. Let x be l(-12). Is y(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 955701112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18368, -18357, -18348, -18341, -18336, -18333?\nAnswer: -18332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*u - 62 + 1 - 2 = -210*u + 2*s, 2*u + 30 - 119 = 17*s for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 30. Suppose p = 3*d - 14, d + 4*d = p + n. Suppose -5*q - 12 = -9*q. Put q, -2, d in decreasing order.\nAnswer: d, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 11730*c - 2955975. Calculate d(252).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31096 (base 13) in base 11?\nAnswer: 60133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -155.861 + 155.2. Let n = y - -0.660999759. Round n to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-6769206.\nAnswer: -27076824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5459*z - 1218*z + 16498*z - 4140*z + 9870*z.\nAnswer: 26469*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 194519113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1232*v**3 - 32*v**2 + 228680*v + 36.\nAnswer: -7392*v - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 + 13*f - 6*f**2 - 8071 + 8059. Calculate z(5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*v + v - 4*n, 0 = -5*v - 4*n + 16. Solve v*k = k - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90454419 or -90454418?\nAnswer: -90454419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260 and 2230514?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 601764288?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/7)\/(-1)*(-126)\/108?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -256*d**3*o**2 + 4*d**3*o + 3*d**3 + d**2 - o**2 + 3*o + 95 wrt d.\nAnswer: -1536*o**2 + 24*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t + 3. Let k = 1 + t. Suppose 0 - 2\/7*h**k + 2\/7*h**3 - 2\/7*h + 2\/7*h**2 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + l**2 + 2*l + 14. Let s be o(0). Suppose -s*k + 49661478 = 290461478. What is k rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2*(-40)\/(-40))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11430 and 1270.\nAnswer: 11430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6042 and 444062?\nAnswer: 438020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473092 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r**2 - 4*r**2 - 2*r**2 - 6*r)*(-2 + 6 - 3) in the form j*r + b*r**2 + k and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3799.8 and 0.01.\nAnswer: -37.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/(-49600)*(-11)\/132*20?\nAnswer: 1\/124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 472?\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 16 + 56 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/8*(-60)\/45*1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 + -0.77. Let i = -198833 - -1789495\/9. Put i, 3\/2, t, 5 in descending order.\nAnswer: 5, 3\/2, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7393060?\nAnswer: 2, 5, 313, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 2*b = 11*m - 2682, 5*b + 2647 = 4*m. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 607*c - 378729 = 580*c. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22539648 is divided by 1142.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30\/79 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-9)*(-9)\/(-2). Let s(m) = m**2 + 5*m + 3. Let r be s(i). Let l = 6 + r. Solve -2*u + 2*p = -0*p - 8, -u + l*p = -6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**2 - j**2 - 4*j**2)*((2*j + 1 - 1)*(4*j - 6*j + 0*j) - 165*j**2 + 238 - 238) in the form i*j**4 + b*j**2 + z*j + y*j**3 + o and give i.\nAnswer: 1183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101401000215852221\/299418 + 338660335105. Let w = 1\/28516 - g. Calculate the common denominator of w and -137\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/172 and 37\/5964?\nAnswer: 256452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18760, -18755, -18750, -18745?\n\"Answer: 5*h - 18765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 129161133?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -5\/41 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 11*l - 4. Find the third derivative of 43*f**l + 15*f**5 + 4*f**5 - 34*f**2 wrt f.\nAnswer: 1140*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104 + 57. Let o = 20 + j. Let m = o - -23. Are 2 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 958.1567 kilograms?\nAnswer: 958156700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 653 + -433. Let g(h) = -h**3 + 5*h**2 + 7*h. Let l be g(6). Suppose l*u - 2*u + 2*m - 70 = 0, 20 = -4*m. What is the greatest common divisor of u and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -5)\/((-2)\/(-32)). Let m(y) be the second derivative of -y**3\/6 - 5*y**2 + y. Let t be m(n). Solve -x + 5 = -t*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17613874 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1143*r + 46793. Give q(40).\nAnswer: 1073","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 60, 69, 90, 129, 192, 285, 414, 585?\n\"Answer: i**3 + 2*i + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-4)*(-63)\/126. Solve 3*j - 5*u + 11 = -11, t = 5*j + 5*u - 30 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9874, -9933, -10124, -10513, -11166, -12149?\nAnswer: -13528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 3)*(v**4 + v**4 - 3*v**4) + v**4 + 16*v**2 - 2 + v**4 - 17*v**2 + 2*v as z + k*v**2 + x*v**4 + f*v**3 + l*v and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 215381841 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/67 and (-3)\/63*27*6*1.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i - 52*i**2 + 347 - 673 + 325)*(2*i**2 + 2*i**2 - 2*i**2) to t*i**3 + d + z*i**2 + u*i**4 + s*i and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*l - s, -l = s + 4*s - 11. Suppose -7*x + 5*p - 64 = -11*x, -31 = -x - 5*p. Calculate the greatest common factor of l and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-40)*(-2)\/(-15))\/((-6)\/(-27)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2236*f**3*m**3 + 138*f**3*m**2 + 2*f*m**3 - 269*f*m**2 + 189*f wrt f.\nAnswer: -13416*f*m**3 + 828*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 3\/551, 1, -0.4 in decreasing order.\nAnswer: 1, 3\/551, -0.4, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5386.\nAnswer: 2, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 g, and 1 k when four letters picked without replacement from {g: 3, j: 1, t: 2, e: 5, k: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1018963 and 1727.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-11114)\/2452)\/((-33)\/(-176)). Let k = x - -9\/1226. Let b = 309\/7 + -697\/28. Calculate the common denominator of b and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 374, -66 in increasing order.\nAnswer: -66, 2, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-765)\/(-340) - (30\/8)\/(-5). Solve -30*x + 33*x = -g + 4, c*x - 5*g = 34 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/25 + (-19768)\/(-840) + -24.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 730575 and 12795?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6284050021 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -475, -959, -1447, -1939, -2435, -2935, -3439?\nAnswer: -3947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/((-2620)\/(-12576))?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -644*c - 772*c + 1416*c + 5*c**2 + 1.\nAnswer: 5*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 2. Let b(j) = -2*j - 5. Let a be (1 - 3)*14\/7. Let i(y) = a*b(y) - 7*u(y). Let v be i(-3). Solve r = -0 - v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1933 + 1923 + 1914 + 17*b**2 - 5770.\nAnswer: 17*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981736433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 - (-16)\/(-12) - 0.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3 = i + 1, -4*i - 7 = d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.566956412 to 3 dps.\nAnswer: -5.567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/((-500)\/24))\/(-27*(-15)\/540)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53585*c**2 - 375085*c - 70.\nAnswer: 5*(c - 7)*(10717*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f + 5. What is the tens digit of h(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5385448 to the nearest integer?\nAnswer: 2321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*t + 0*t**3 - 9\/4*t**2 + 0 + 3\/4*t**4.\nAnswer: 3*t*(t - 1)**2*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 656 and 12.29.\nAnswer: 668.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10362 + -10359. Let z(c) = -2*c + 4. Let p(k) = -2*k + 5. Determine v*p(w) - 2*z(w).\nAnswer: -2*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 13) in base 7?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 4:51 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 - t + 1. Let f(q) = -10*q**2 - 4*q + 4. Let k(o) = 4*a(o) - f(o). Let l(m) = 5*m**2. Calculate -9*k(w) - 4*l(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -56 - ((-21 - 1) + (3 - -9) + -4)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3384*g*r**2*z - g*r**2 + 2*g*z - 75*r**2 + 4 wrt z.\nAnswer: 3384*g*r**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -117.3, 1\/8, 1.18, 0.5, -0.3, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + sqrt(700)*-5*-4*6*-4.\nAnswer: -4800*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(810)*1)\/(1*sqrt(162)) - (-1*(-1*sqrt(55))\/sqrt(11) + 5))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5674 by -8.\nAnswer: 2837\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3*2\/20*7\/(3255\/(-70) - -42)\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 0.0591.\nAnswer: -0.002364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 85*d + 150.\nAnswer: 5*(d - 15)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1483642ml in litres?\nAnswer: 0.0001483642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-1)\/(2\/(-2)). Suppose l = 5*v + 7 - 3, v + k*l = 8. Let a = 3 - v. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 5. What is the highest common factor of 68 and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m**3 - 6*m**2 + 7*m - 8. Let v be s(6). Is (-2)\/(7\/(v\/(-4))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 192073, 33, -4 in decreasing order.\nAnswer: 192073, 33, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.678 to 0 decimal places.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152847917 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-63))\/((-9)\/27). Sort -1\/9, c, -0.3 in increasing order.\nAnswer: -0.3, c, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 2*u + 0*u)*(-27*u - 11*u + 14*u - 24*u).\nAnswer: 288*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Suppose 5*u = 4*h + u, 2*h = 5*u + 3. Which is the third smallest value? (a) -1\/2 (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66007 and 886.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 3*r - 14. Let b be c(-6). Suppose -2*k + 4*v + 4 = 0, b*k = -v - 2*v + 19. Suppose l - 2*l - k = 0. Let f(p) = p**2 + 4*p + 1. Determine f(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 33 = 2*t, -7*z = -3*z - 5*t - 93. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 2:46 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/3576 and 73\/33364080.\nAnswer: 33364080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 5*x**2 + 6*x - 2. Let s be a(-6). Let i(j) = j. Let d = 6 - 13. Let t(r) = -3*r - 1. Calculate d*i(c) + s*t(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (-4358)\/1453*-1. Let n = o + 8737\/27607. Put n, -5, -1\/6 in increasing order.\nAnswer: -5, -1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -134861, -269714, -404577, -539456, -674357, -809286?\n\"Answer: -h**3 + h**2 - 134849*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x + 6. Let w = -394 + 395. What is the units digit of m(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1675 divided by 335\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 110571 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*p - 2*p + 8878 = 0, 17756 = -4*d - 2*p. Let m = d + 6240. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 725.174m?\nAnswer: 725174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3673, -3619, -3513, -3343, -3097, -2763?\nAnswer: -2329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(325)*-2)**2 + -2 - ((sqrt(637) + 1)*-2)**2).\nAnswer: -1251 - 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -3. Let o(p) = -p + 6. Let x be o(v). Differentiate 3 - x - y - y with respect to y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-4))\/((15375\/164)\/(-75)).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -82 + -3 + (3 - 4). Let p = -31 - w. Let f = 150 - p. What are the prime factors of f?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 1 + 16 + 84*i**2 as m + k*i**2 + t*i and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = 4*m + 4*s, -3*m + 4*s - 72 = -272. Suppose -4*t = -0*t - m. Suppose 3*c - t = c. What is the smallest common multiple of c and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-570)\/4)\/3*115\/(30475\/(-106)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(77) - (6*(sqrt(77) + sqrt(77)*-1) + sqrt(77) + sqrt(77)))\/(sqrt(11) - -4*-2*sqrt(11)))**2)*-3.\nAnswer: -108\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b - 24*b - 20 = -4*m, 3*m + 2*b - 12 = 0. Factor -3\/2*o + 3\/2*o**3 + 3\/2 - 3\/2*o**m.\nAnswer: 3*(o - 1)**2*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9 - 18) + 0 - -14. Let c(x) be the third derivative of t*x**2 + 0*x + 0 - 1\/4*x**4 - 5\/6*x**3. Find the first derivative of c(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*l = -44, -2*l + 34 = -2*f - 0*f. Let p(w) = -w**2 - 14*w - 17. What is p(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**5\/60 + 11*a**4\/24 + 5*a**3\/3 + 2*a**2. Let g = 8 - -1. What is the units digit of u(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from llhllllllllqcv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgfftbttttbbbtbt. What is prob of picking 1 t and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 226215 and 75405.\nAnswer: 226215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 68*n**2 + 373*n - 71. Calculate s(62).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80735 and 1005?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*o + 43*o + 148 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.05 + -0.05. Let r = -0.1 + -0.1. What is the closest to h in r, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 20 - 25) + 33.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (2 - (-27 + 14))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a + 3*a + 3*a)*(-20034 + 8673 - 10133 - 27432 - 30246 - 18192) to the form h*a + p and give h.\nAnswer: -194728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2\/5, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-82 - (25 + -21))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 5:05 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 3\/2, -0.064, 0, 4\/7, 2\/9 in increasing order.\nAnswer: -5\/2, -0.064, 0, 2\/9, 4\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 8*y - 1. Suppose -3*v = 3*p - 4*p + 17, p = -3*v - 25. Give g(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11648\/1568 + (60\/105 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -118 - -167. Which is the nearest to 1\/5? (a) 0.1 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 283\/(-495) + 4 + 324\/(-90). Is f < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5210*n + 216063 + 23122 = 21840 - 142145 for n.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 126.558?\nAnswer: -37.9674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/45)\/(-2 + 4). Which is the biggest value? (a) k (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7575*m - 61*m**3 - 2542*m - 2540*m - 2493*m.\nAnswer: -61*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 - 3*f**2 + 6*f + 79. What is the hundreds digit of t(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f. Let o(j) = -7*j**2 - 12. Give r(o(w)).\nAnswer: -21*w**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3748?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6670 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4526, 9118, 13710?\nAnswer: 18302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 16*i + 22. Let x be j(-4). Let t = 55 + x. Let z(m) = m**2 - 9*m - 29. Is 3 a factor of z(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 55? (a) 0.9 (b) -0.5 (c) -1\/7 (d) 209\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(108\/(-9))\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -190 + 190 + 26*o**2 + (-o - 3*o + 5*o)*(0*o + o - 2*o) - 9*o + o**2 + 9*o in the form a + v*o**2 + l*o and give v.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3288190269778 + -97\nAnswer: -3288190269875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2. Suppose 17*p = 20*p - 6. Let b(z) = -p*z + 10*z + 6*z - 5*z + 5*z. What is b(x(s))?\nAnswer: 70*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1543 - 1537. What is the third biggest value in -0.5, -0.14, d, 4?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.14 - -0.23. Let u = -0.21 - c. Let r = 0.52 + u. What is r rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) -4.7 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u - 8*u**2 + 5*u**2 + 4*u**2 + 3. Let i be w(3). What is the second derivative of -2*g**3 + 9*g - i*g - 3*g**3 wrt g?\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 73*g**2. Let b(z) = 11342*z. Determine b(p(d)).\nAnswer: 827966*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(99) + -1 - (1 + sqrt(11)*2 - (sqrt(176)*1 + sqrt(176))))**2.\nAnswer: -36*sqrt(11) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/2 - (36 - 42)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 842*f**5 + 2*f**4 + 1102*f**3 + 22758467*f**2?\nAnswer: 50520*f**2 + 48*f + 6612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -2000223133?\nAnswer: -2000223133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 4. Suppose 0 = 5*x + w - 87, -2*x + 72*w = 71*w - 32. Let n(m) be the second derivative of -m**3\/2 + 11*m**2\/2 - 2*m. Give x*g(o) - 6*n(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 + 80. Let j = g - 47. Let y be j\/(-6)*2\/4. Sort y, 5, -10 in descending order.\nAnswer: 5, y, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 1:04 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4183866 (base 9) in base 10?\nAnswer: -2240196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27668 plus 253.165?\nAnswer: 27921.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 840\/(-500)*-5*((-2)\/(-7))\/1?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/3 - 47*x**3\/3 + 8*x**2.\nAnswer: -x**2*(x + 24)*(2*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145611 divided by 1175.\nAnswer: 145611\/1175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0. Let q = -0.2 - -0.3. Let g = 0.1 - 0.3. What is the nearest to q in h, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24206891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -10 - 8 - (-5 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 4*m + 4*m)*(-7*m + 7*m + 4 + 2*m) + 0*m**3 + 4*m**3 - 5*m**3.\nAnswer: m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19922 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**6\/5 - 5*k**3\/6 + 4*k. Find the second derivative of y(d) wrt d.\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -267420125\/18 - -14827419. Let w = s - -29262. Find the common denominator of w and -137\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.605831 + -26.394269. Let z = 27 + c. Round z to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12009*h**2 + 12192*h**2 + 2 - 36006*h**2 - 4*h**3 + 12236*h**2.\nAnswer: -4*h**3 + 431*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*((sqrt(832)*2 + -3 + 4)**2 + -4)*-5.\nAnswer: -16623 - 160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1421, 5438, 12103, 21416, 33377, 47986, 65243?\n\"Answer: 1324*m**2 + 45*m + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24991, -25028, -25077, -25144, -25235, -25356, -25513?\n\"Answer: -o**3 - 30*o - 24960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**3*g*o*v + 2*d**3*o**2*v + 10*d**3*o**2 + d**2*g*o**3 - 2*d**2*o**3*v + 3*d**2*o**2*v + g*o*v wrt g.\nAnswer: -d**3*o*v + d**2*o**3 + o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 19333899 = 21*m + 73*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 9*w + 80 = 5*l, 0 = 3*l + 4*w - 34. Solve -l*s = 2*s + 32 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31161 is divided by 1344.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9261, -9263, -9275, -9303, -9353, -9431?\n\"Answer: -a**3 + a**2 + 2*a - 9263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10458815 rounded to the nearest one hundred thousand?\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1905603*y. Let i(q) = -5*q. Give i(c(p)).\nAnswer: -9528015*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-984)\/18 - (-2)\/3. Let c(a) = -a - 3. Let q be c(7). Let z = q - g. Is z a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/29 (b) 0 (c) 16 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 874, 875, 876, 877, 878?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1966982.51 rounded to the nearest one hundred?\nAnswer: 1967000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) - (sqrt(9) - sqrt(90)\/(sqrt(250) + sqrt(10)))) + sqrt(9))\/(sqrt(3) - 3*sqrt(147)) + (-2 + 1*(1*sqrt(192) + sqrt(192)))*-5.\nAnswer: -9607*sqrt(3)\/120 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 21*i + 3. Let h be q(-21). Solve -2*b + 9 = h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-11)*8*3\/90\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**4\/4 - 4*l**3 + 46*l. Factor w(j).\nAnswer: 3*j*(j - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.19 + -0.01. Let m = w + 1.1. Round m to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*p + 17*p**3 - 73*p.\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + q - 4. Let b(w) = -2*w**2 - 6*w - 14. Let p(s) = -b(s) + 5*n(s). What is p(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/13 and 332\/539 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from fsyoays.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) -3691.4 (c) 0.3 (d) -5 (e) -0.2 (f) 1\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -33 + 2\/1 + 2. Let h = y + 43. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 + 212 = 4*w - 4*p, -5*p = 5*w - 475. Suppose -w - 62 = -4*a. What is the remainder when 76 is divided by a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9285 - 4980. Does 45 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2030736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 137135?\nAnswer: 137132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 8 + 22. Let o(i) = 13*i**2 + 3*i - 1. Let a(g) = -5*g**2 - 2*g + 1. Let y(p) = 8*a(p) + 3*o(p). What is y(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4353986093.\nAnswer: 17, 53, 1021, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -1. Let o(p) = 2*p**2 + 3*p - 1. Let f be o(c). Suppose s - f = 10. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 23 = 17. Suppose 4*p + 3*n = -n - 60, 2*p + 26 = 2*n. Let w = y + p. Does w = -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13524 and 1620?\nAnswer: 1825740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*h = -64*h - 3939. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/56)\/(7\/(-84)). Put 0, v, -13 in decreasing order.\nAnswer: 0, v, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2, 1.5, 0.3?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3596.37 rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142002120 + -2?\nAnswer: 142002113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15.82? (a) -0.1 (b) 2\/321 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 10*z + 5. Let t(j) = -3*j**2. Give t(a(u)).\nAnswer: -300*u**2 - 300*u - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 11546 to the nearest one hundred.\nAnswer: 11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 7*i + 9. Let x be m(6). Suppose 3*n = w - 252, -1273 = -2*w - x*w + 2*n. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/174930 and 5\/154666.\nAnswer: 795756570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 635 - 634.96. Which is the closest to 2\/3? (a) -5 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79424 + 114155. What are the prime factors of o?\nAnswer: 3, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639\/188 < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 661 by 194.\nAnswer: 661\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 19 + 20 = 0. Let d = -37 - w. Suppose -4*m - d*r = 14, -r = -4*r + 9. Let p(v) = 2*v + 6. Determine p(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -269 - -281. Suppose -8*y - 19 + 75 = 0. Calculate the remainder when a is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 8*d + 42. Let q be m(7). Calculate the highest common divisor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 564 - 584.04. Let i = j - -21. What is i rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 4:28 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.94 - 3.17. Let l = f - -0.11. Let h = -298\/675 + -2\/675. What is the third biggest value in 5, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**2 - 5*q + 6. Give w(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 6*u - 2. Let x be v(7). Suppose -2046 = -2*a + 4*j, -2444 - 1654 = -4*a + x*j. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 126*g. Let m be x(1). Let k be 6\/21 + (-15)\/m. Let n = 0.1 - 0.1. What is the biggest value in n, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -2\/11 (c) -2\/29 (d) -87 (e) -2\/5 (f) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 - 730*z**3 - 1006555*z**2 + 75423600*z + 53375112000.\nAnswer: 5*(z - 360)**2*(z + 287)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4820158 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 * 390.\nAnswer: -15600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 44*n - 192.\nAnswer: -2*(n + 6)*(n + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 3*f - 3. Let n(u) = 2*u**2 - 7*u + 7. Let j(t) = 7*h(t) + 3*n(t). Let m(y) = 0*y - 4*y**2 + 4*y - 4*y. Calculate m(j(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 72 - 1 - 33\/(-11). Calculate the least common multiple of p\/26 + (-2)\/(-13) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*i**2 + 4*i**2 + 3*i - 222 + 223 + (i + 0*i - 2*i)*(7*i - 2*i + 0*i) + (-2 + 0 + 0)*(5*i**2 + 2*i**2 - 6*i**2).\nAnswer: 7*i**2 + 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -1.1. Let x = 4.9607 - -0.0393. What is the third smallest value in x, d, -1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30672 is divided by 3557?\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -320 divided by -10053\nAnswer: 320\/10053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 452 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(2\/5)\/k*k**(-1\/2)*k*k)**(-2\/43) assuming k is positive.\nAnswer: k**(-29\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 12:35 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 45 = 45. Suppose -4*o + 0*o + 4*u + 132 = b, 2*o + 4*u = 54. What is the greatest common divisor of o and 620?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1829290091 to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1838.4 - 1839.4. What is the third biggest value in -5\/3, 4701, y?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2)\/(3\/(-24)). Suppose 19*o + 78 = 135. Suppose o*k + j = 6, 2*j = -3*k + 11 - 2. Solve 0 = d + k - w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, p: 5}. What is prob of picking 1 c and 1 p?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119620 and 540.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 - 8*n**3 + 2*n**3.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 125 + 120 = 0, 5*f + h + 30 = 0. What is the third smallest value in -19, f, 0.1, 16, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 0*p + 3. Suppose 6*o + 2 = 4*o. Sort p, o, 2 in decreasing order.\nAnswer: p, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77278069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhhfhhh. Give prob of picking 2 h.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 4. Let s(f) = -f - 5. Let q be 19\/(-5) - 3*4\/60. Determine q*g(k) - 3*s(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -1. Suppose -4*q = -z + 3. Solve 1 + q = 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*d, 2*d - 13 = -4*o + 7*d. Let z = o + 0. Solve z - 3 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 739534?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 322918 greater than or equal to 322891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 2*h - 234. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 18*r**2 + 31*r - 30. What is the remainder when a(9) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12155 + 12154.799996. Let k = x + 0.2. What is k rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1093*p + 5054 = 1300*p + 19751 for p.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -21*(262\/(-130) - -2). Let l = f - -1\/13. What is the nearest to 0 in l, 3\/2, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6690, 6229, 5588, 4761, 3742, 2525, 1104, -527?\n\"Answer: -c**3 - 84*c**2 - 202*c + 6977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(3\/(-1)) + 18. Let z = v + -5. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 185?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 26085322?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 3 + 4 + 6*h - 1716*h.\nAnswer: -1710*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -136 + 143.3. What is b rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-0.948446\nAnswer: -0.548446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.0919 - 1.0919. Put 0.3, s, 2\/7, -5 in descending order.\nAnswer: s, 0.3, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 3*g**4\/4 - 8*g**3\/3 + 3*g**2 - 3*g + 7020. Let p(d) = -d**2 + d. Calculate 5*p(f) - s(f).\nAnswer: -3*f**3 + 3*f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*l + 22 = 5*n - 256*l - 15, -5*l + 5 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-9)*(-3)\/10. Which is the nearest to 0.2? (a) -1 (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, q: 2, e: 4, k: 2}. Give prob of picking 2 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/75776 and -83\/43684.\nAnswer: 827549696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 70, -0.4, 0 in decreasing order.\nAnswer: 70, 0, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = h. Let j(u) be the third derivative of h - 1\/30*u**5 - 1\/120*u**6 + 2*u**2 - 1\/2*u**3 + 0*u + 1\/8*u**4. Determine j(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyy. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 126*g + 37*g + 87*g.\nAnswer: -2*g - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -97? (a) 1 (b) 0.1 (c) -254 (d) -3 (e) -7 (f) -9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247771519 is divided by 4004?\nAnswer: 3999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19277304*i*o**3 + 10295*i*o**2 + 2231*i*o wrt o.\nAnswer: 115663824*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2 - 54\/11 + 2\/11*g**3 + 30\/11*g = 0.\nAnswer: -9, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4039367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) -2 (b) 1 (c) -0.1319 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 668 + -418. Let n be -1 - (4533\/(-15))\/(30\/25). Let u = m - n. Which is the nearest to -0.3? (a) -1\/9 (b) u (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(81\/4 - -5). Let q = v + 255. Differentiate 186*f**2 - q*f**2 + 6 + 12 wrt f.\nAnswer: 64*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, g: 1, s: 2, l: 3, n: 3}. Give prob of sequence ngl.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46725 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.1 - -15. Let k = 0.04 - -0.26. Which is bigger: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5456 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916 is divided by 56?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.6 - 4.3. Let i = l - -17.7. Let u = -22 + i. Which is the third biggest value? (a) -0.4 (b) u (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a + 6. Let h = 122 + -127. Let w(v) = -5*v - 7. Give h*w(q) - 6*o(q).\nAnswer: -5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -75 (b) 1\/7 (c) -1\/3 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.1, 2, -109, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, t: 2, u: 9}. Give prob of picking 2 t.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/1001480791?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 4, 0.2, -20.\nAnswer: -20, 0.2, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 smaller than 9102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/6*h**4 + h**3 + 4\/3*h**2 - 3\/2 - h = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**5 - o**2. Let y(x) = -20*x**5. Let h(r) = -4*n(r) + y(r). Find the third derivative of h(z) wrt z.\nAnswer: -960*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*q - 29*q + 1422. Let l = q + -470. Solve 3*u + 10 = -4*o, -u + 3 = -o - l*o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 13*g**2 - 5*g - 3. Let a(h) = -20*h**2 + 8*h + 4. Let w(x) = 5*a(x) + 8*t(x). What is the remainder when w(3) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8643479245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, c: 2, e: 1, u: 1, t: 2, k: 2}. Give prob of sequence vck.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -15\/71?\nAnswer: -15\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 + g - 1. Let n be w(-2). Let t = 6 - n. Let c be 2 - (5\/1 - (5 + -3)). Sort c, 5, t in ascending order.\nAnswer: c, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 283 - -6072. Is w a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 + (-252)\/(-30))*-50. Solve 5*i - x = 5*l, 0*l - 4*i + 18 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/29, 14, -0.5, 921, 3, 1.3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14*-4.62\nAnswer: 64.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 1:47 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6463, -6430, -6337, -6154, -5851, -5398?\n\"Answer: 5*v**3 - 2*v - 6466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w\/(w\/(w\/w**(-26))))\/w*w)\/w*w**(-30))**(25\/3) assuming w is positive.\nAnswer: w**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17752 divided by -3179\nAnswer: -17752\/3179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a - 61*a + 23*a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 0.252 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*s - 750 = -293*s for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1540)\/84*6\/(-22) + 17?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 237 = 201. Let r(p) = -4*p + 9. Let n(j) = 2*j - 2. Let t(u) = x*n(u) + 2*r(u). Calculate t(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7563 + 107176*m**2 - 7563.\nAnswer: 107176*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 6*i**2 + 4*i + 5. Let r be w(5). Let c = r + 3. Find v such that 0*v**c - 1\/2*v**5 - v**2 + 1\/2*v + v**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 15491526543\nAnswer: 15491526540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/3 and 76\/1411383?\nAnswer: 1411383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from sxehkexqxxxsh?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c = -4*h - 18*c + 11841, 0 = -h - c + 2959. Is 88 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 + 0.4. Are c and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.02 and -0.575815.\nAnswer: -0.5873313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/7)*s)\/s)\/(s\/s**(-2\/13)) assuming s is positive.\nAnswer: s**(-92\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.5 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 - 5*n**2 + 4*n + 1. Let k(p) be the first derivative of -3*p**4\/4 + 8*p**3\/3 - 3*p**2 - 2*p + 194. Calculate 8*h(i) + 5*k(i).\nAnswer: i**3 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*l + 4*r + 11, -2*l + 4 = 2*r. Solve -25 = -l*t - 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 4 + 34 = 0. Is 402*3\/(-30)*s a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -14. Let k = 2.93 - -0.07. Let u = -0.98 - -0.48. What is the nearest to 1\/3 in s, u, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 35.2614 meters?\nAnswer: 35261400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-50)\/(-262))*5 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*s + 2*s**3 + 1 - 1 - 7*s wrt s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y + 4*y + 3*y + 13*y to the form j + c*y and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 434*z**3 - 5*z**2. Let u(o) = 2168*o**3 - 24*o**2. Determine 5*u(a) - 24*w(a).\nAnswer: 424*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327104697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -892, 1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 32\/5 of a milligram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**4 + 6*w**4 + 0*w**4 - w**5 + 5 + 7*w**5 - 5 + (1 - w**5 - 1)*(-3 - 1 + 2).\nAnswer: 8*w**5 + 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*a - 1789856 + 7629691 + 2860135. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.39 and -42.8.\nAnswer: -487.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9186*w**2 - 17918 wrt w.\nAnswer: -18372*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*m**2 - 298*m + 298*m + 2*m**3.\nAnswer: 2*m**3 + 368*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-184*d + 276 + 94*d + 92*d)*(-3*d + 4*d - 2*d).\nAnswer: -2*d**2 - 276*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -47. Let z(i) = i**3 + 20*i**2 - 2*i - 35. Let d be z(-20). Solve 4*a = -2*c + p, 0 = 4*a + 5*c + d - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 16, w: 2}. Give prob of picking 1 s and 1 w.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -369, -740, -1111?\n\"Answer: -371*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 57*k - 12219. Give o(218).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -7.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r, 1 + 14 = 3*u - 5*r. Solve 3*w = u*x - 9, 5*x - 3*w = 2*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvo when three letters picked without replacement from {v: 1, q: 3, o: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 4 (c) 5 (d) -170 (e) 0.5 (f) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-12\/11)*d*d**(-11)\/d*(d\/d**(-6\/13)*d)\/d**(-1\/10) assuming d is positive.\nAnswer: d**(-12197\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-112365)\/(-66) - 3\/(-2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 289024.016 to the nearest ten thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7074, -28489, -64246, -114345?\n\"Answer: -7171*v**2 + 98*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**3 + 13*a**2 + 4*a - 1. Let p(c) = 3*c**3 + 14*c**2 + 3*c - 2. Let w(n) = -2*g(n) + 3*p(n). Let y be w(-16). Let h = y - -20. Is h < 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 22*d + 17. Let r be (2 - (-1 + -1)) + 3. What is the tens digit of p(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 5) in base 13?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -3*r - 2*w, 0*r + 2*r = -2*w - 54. Let i = r - -42. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -400*g**4 + g**2 + 9*g + 11964?\nAnswer: -1600*g**3 + 2*g + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (23\/11 - 4)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b*r**3*x**2 + 2*b*r**2*w*x**2 - 5*b*r*w - 1596*b*w*x**3 - 2*r**3*w*x**3 + 7*r**3*w*x**2 + r*w*x**2 wrt x.\nAnswer: -9576*b*w - 12*r**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1034*i + 962*i - 186*i as w + q*i and give q.\nAnswer: 1810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 25 - 4*p - 10 + 87 - 20.\nAnswer: -4*p + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3 = 1. Sort d, 2\/5, 8 in descending order.\nAnswer: 8, d, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 19*x**3 - x**2 + 9*x - 12. Let f be o(2). Let b = 202 - f. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1656, -4637, -8952, -14607, -21608, -29961?\n\"Answer: -n**3 - 661*n**2 - 991*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and -11 + (0 - (-1088)\/16).\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/13 (b) -2\/23 (c) 0.2 (d) -0.5 (e) -59\/2 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 319237?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44584201219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 204859800 a multiple of 4788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532*p - 533*p = 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/78)\/(2*1\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -3\/4*p**2 + 0*p - 1\/6*p**3 - 200 + 3\/8*p**4 + 1\/10*p**5. Factor l(s).\nAnswer: s*(s - 1)*(s + 1)*(s + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 9.7. Let g = 357 - 618. Let j be (-9)\/(-6) + g\/198. What is the closest to h in j, -0.5, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133 - 67 - 66 + 33*k**3.\nAnswer: 33*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128472)\/(-21210) + (-2)\/35.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from ukkmqfn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1120695 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.081432 rounded to 1 decimal place?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 4, 8, 5, -8 in descending order.\nAnswer: 8, 5, 4, 0, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 605 and 7?\nAnswer: 4235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 719 - 718.8. What is the closest to -1.8 in -0.1, -3, l, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1)\/o**(-5)*(((o\/o**(2\/3))\/o)\/o)**(-2\/31) assuming o is positive.\nAnswer: o**(382\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -1 - 108\/64. Let o = l - -25\/112. Calculate the common denominator of o and -55\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884065 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -157*p**2 + 112*p + 309. Let x(j) = 71*j**2 - 56*j - 155. Let i(s) = 5*d(s) + 11*x(s). Find k such that i(k) = 0.\nAnswer: -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10489\/950 + 28\/475. What is the common denominator of m and 46\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*k = -42, 0 = -3*v + 5*v + 5*k - 84. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*j + 19 = -z, j - 11 = 4*z. Let o be ((-3)\/7)\/((-3)\/z). What is the second biggest value in o, -2\/23, 2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 7:11 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -770, -3, 121 in descending order.\nAnswer: 121, 5, -3, -770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 689\/(-689)*-1*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) -5 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 7*x**2 + 2*x - 16. Let t(m) = m - 14. Let j be t(17). Suppose k - 19 = -5*z, 2*k + 3*z = -k - j. Does 8 divide v(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 0 + (-8 - -13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 m when three letters picked without replacement from {e: 1, r: 1, m: 3, c: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 366448?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1088 = -2*q, q + 0*q + 2 = 0. Suppose 2*s = 3*w + c, 7*w = 10*w + 15. List the prime factors of s.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 6*v**2 + 9*v + 12. Let t be g(-7). Let k be (-6210)\/(-9)*(3\/(-2) - t). Let n = -242 + k. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**4\/4 + 5*w**2\/2 + 11*w - 26. Let t(q) = -2*q**3 - 8*q - 17. Give -8*n(m) - 5*t(m).\nAnswer: 2*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 658.9176 millilitres?\nAnswer: 0.6589176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 + m + 7. Let a(r) = -r**2 + 0*r**2 + 3 - 4*r**2 + 4*r**2. Give -5*a(k) + 2*t(k).\nAnswer: k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49d12 (base 14) to base 8.\nAnswer: -541274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11, -17, -21, -23, -23?\n\"Answer: q**2 - 9*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, w: 3, s: 1, d: 5, t: 4}. What is prob of picking 2 u?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90732?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-96 + 183 + 181)*(0*m - m - m) as h*m + l and give h.\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 7:46 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) -8 (c) 19\/2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -509 - -525. Let p be (168\/(-16))\/((-3)\/4). Suppose -p = -3*d - 2*i, 6 = -4*d + i + 32. Calculate the smallest common multiple of d and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/68)\/(4595\/(-15623))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2374448 - -1825542. Suppose 2*j + g = -3*m - 0*j, 3*m = -3*j - 4199985. Round m to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + 26 - 38 - 30 - 2*w**2 as d*w + m*w**2 + p and give p.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 9*u**2 - 15*u + 28. Give p(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-25)\/5 + 4. Let c = 35 + -32. Let o = 4 + -4.1. What is the third biggest value in g, c, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2*9)\/((10\/11225)\/(2\/10)).\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -925 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-3)*a*a**(1\/4))\/(a**0*a)**(-26))\/((a*a\/(a*a**(-3\/10)\/a)*a)\/(a\/(a*a**4*a)*a))**(-23) assuming a is positive.\nAnswer: a**(3983\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 761, 762, 763?\n\"Answer: v + 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-28))\/((3 - 4)\/(182\/(-104)))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(-50) + (-6)\/10 - -5. Which is greater: 32\/7 or n?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 3)*(-2287*g + 2997199 - 2997199) as l + j*g and give j.\nAnswer: -6861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5159811 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: How many minutes are there between 10:37 PM and 6:15 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*h**2 - 6*h**2 - 3*h + 5*h)*(2*h - h + h)*(2*h + 3*h - 6*h) to the form c + a*h**2 + l*h**4 + k*h**3 + g*h and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2426 + 2427. Let p = 1 - 2. Let d = 1 - 0.99. Which is the closest to j? (a) d (b) -0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 33*i**2 - 12*i - 58. Let z be h(12). Solve 922 - 64*v**2 - 3106 - 2791 - z - 1312*v + 1073 = 0 for v.\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**6 - 14*s**5 + 63*s**4 - 268*s**3\/3 + 15*s**2 + 50*s - 251. Suppose a(p) = 0. What is p?\nAnswer: -1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 2)*(-60 - -1). Let p = q - 7. Suppose 2*s = 5*d + 4*s - p, -2*s = -5*d + 119. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 plus 26048409398?\nAnswer: 26048409397.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580796?\nAnswer: 2, 23, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.86 (b) 0.2 (c) -0.2 (d) -5 (e) 2 (f) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -122, -196, -288, -404, -550?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/12 and 11\/686601.\nAnswer: 2746404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-218)*((-172)\/1548)\/((-1)\/9*-1)?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00989 to 4 decimal places.\nAnswer: 0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -28. Let l = d - 23. Suppose l*y = -y + 32. Which is greater: -2\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253935000 rounded to the nearest 1000000?\nAnswer: 254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -43 + 16*p**2 + 40 + 17*p**2. Suppose 8*g + 48 = -0. Let z(v) = -16*v**2 + 1. Let h(y) = g*m(y) - 13*z(y). Differentiate h(i) with respect to i.\nAnswer: 20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2644258847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19224408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4816919703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.7160847 to three decimal places.\nAnswer: 6.716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1108 - -1108. Let s(m) be the first derivative of n*m - 2\/5*m**5 + 1\/3*m**3 + 1\/4*m**4 + 0*m**2 + 7. Factor s(o).\nAnswer: -o**2*(o - 1)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -875 - -946. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2132240115?\nAnswer: 3, 5, 5987, 23743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*m + 6, 3*m = -b + 4*m - 2. What are the prime factors of ((-10)\/2)\/(-1 - b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 14*d**3 - 2*d + 1 - 7*d**3 - d**2. Let o be c(1). Let k(h) = -13*h - 1. Let i be k(-2). Solve -i = o*f - f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 - 4*a**2 - 4. Let l = 37 + -13. Suppose -6*m + 0 + l = 0. Let s(n) = n - 9*n**3 + 11 + 11*n**2 - n. Give m*s(u) + 11*j(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*q - 210. Let u(i) = i**2 - 13*i + 32. Let d = -59 - -70. Let k be u(d). What is the greatest common divisor of k and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 273869.9 to the nearest 1000.\nAnswer: 274000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3507304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -43\/8, -1\/4, -2 in decreasing order.\nAnswer: -1\/4, -1\/3, -2, -43\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1004930*j**3*o - 15513833*j**2*o wrt j.\nAnswer: 6029580*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.3129 + -0.35.\nAnswer: -17.6629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**2 + 14*t + 5 + 10*t + 19*t - 48*t. Let k(i) = 132*i**2 + 96*i - 96. Give 5*k(a) + 96*r(a).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42*(-11*6\/90 + 339\/(-565)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 15) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + j. Let q be b(0). Suppose q = -3*t + 3*m + 63, -t - 3*t - 2*m + 78 = 0. Calculate the lowest common multiple of t and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 140 and -0.3.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**8)**(4\/29)\/(j**(-12)*(j*j*j*j*j**(3\/10))\/j))**(6\/7) assuming j is positive.\nAnswer: j**(8649\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 76558.032ns in hours?\nAnswer: 0.00000002126612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -714, 2\/9, -0.2, 3\/8, 1\/4, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2231, 4463, 6693, 8921?\n\"Answer: -g**2 + 2235*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20838\/(-453)*(-4)\/(-8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 5, 2 in decreasing order.\nAnswer: 5, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5909507 times 119\nAnswer: 703231333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1784508 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**7\/126 - i**5\/20 - i**4\/18 + 13*i. Factor c(s).\nAnswer: s**2*(s - 2)*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**3\/6 - 12*g. Suppose 5*k - 34 = -4. Let f = k + -3. Let q(x) = x. Determine f*q(p) - 4*b(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190227317?\nAnswer: 7, 2887, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -14*r - 20. Sort -8, -1, r.\nAnswer: -8, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttttxatxaxaexttaxt?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 - 5 + 5)*((0*g**3 + 0*g**3 + g**3)*(-4 + 4 + g) + 0*g**4 + 0*g**4 - 2*g**4 + (5*g**3 - 2*g**3 - g**3)*(0*g + g - 2*g)).\nAnswer: 189*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7872 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*b + 4 = -75*b. Sort b, 1, -7, -1 in ascending order.\nAnswer: -7, b, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 30*b - 6. Let o be (-9)\/(-1)*(16\/(-6))\/(-4). Suppose 0 = -o*a - 0*a + 12. What is the tens digit of f(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 - (-46)\/10. Let x(w) = w**2 - 4*w - 4. What is the lowest common multiple of 10 and x(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*k + 2 - 168 = 0. Solve 28*q - 3*p - 4 = 27*q, -p = -q - k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8861421nm to millimeters.\nAnswer: 0.0000008861421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, 6, -27.\nAnswer: -27, -1, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -21*t**2 - 13*t + 38. Let h(o) = 13*o**2 + 7*o - 19. What is 5*h(x) + 3*i(x)?\nAnswer: 2*x**2 - 4*x + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -14. Let p(h) = -2*h + 62 - x*h - 62. Let l(y) = y + 8. Let i(z) = -2*z - 18. Let a(m) = 4*i(m) + 9*l(m). Determine p(a(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5 + 3*x**4 + 2*x**3 - 6*x**2 - x + 3.\nAnswer: -(x - 3)*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 158614358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/sqrt(6))\/sqrt(10) - sqrt(36)\/(sqrt(18)\/sqrt(3)))\/(3*(sqrt(300) + (sqrt(300) - -1*sqrt(300)*-4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -26. Suppose k = -2*k + 5*n + 43, -2*n = 3*k - 29. Let c = k + d. What is the biggest value in -1\/2, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-12))\/((-104)\/9568)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -4, -22, -58, -118, -208, -334?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 48 - 15. Let z = p - -24. What is the remainder when z is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 5*u**2 + 17*u - 5. Let h be s(7). Let d = 17 - 29. Let r be 18\/2*(d + h). Calculate the greatest common divisor of r and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + 17 + -28)*(-44 + 1). Calculate the greatest common factor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-92)\/46 - (-1 - (-3123)\/7). Let b = o + 447. What is the closest to -2\/21 in -3\/5, -0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*r**2 + 441*r - 174.\nAnswer: -3*(r - 29)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 + -0.6. Let q = 0.5 - m. Let j = -5 - -8. Which is the third smallest value? (a) q (b) -0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 - 696 = 3*t - 4*h, 3 = h. Let l = 168 + t. Solve -4*s = 0, -l*d - 15 = -s - 2*s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 + -6 + -17 + -39 + -28 + 43?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48947247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101388842.\nAnswer: 2, 50694421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7907, 7898, 7889?\n\"Answer: -9*x + 7916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 43*o**2 - 29*o + 141. What is p(-43)?\nAnswer: 1388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 11. Which is the second biggest value? (a) 0.4 (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*t - 82*t - 7*t)*(-1 + 3*t + 1) + (-2*t - 2*t + 6*t)*(2*t - 3 + 3) + t**2 + 2 - 2 + t**2 + t**2 + t**2.\nAnswer: -433*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*u = 22, 0 = -f - 0*f - u + 7. Suppose q - 80 = -f*q. Solve -4*r + q - 8 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 + 16 + 32*g + (-15*g - 11*g - 17*g)*(2 + 1 - 2 + (2 - 2 - 1)*(3 - 2 + 1) + 2 - 2 - 2 - 2 + 2 - 1 - 1 - 4 + 3).\nAnswer: 290*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) -3 (b) 2\/13 (c) -1\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 940 - 944. Which is the second biggest value? (a) 11 (b) n (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2. Let l(w) = -40*w**2 + 2*w. Determine -l(p) + 6*r(p).\nAnswer: 34*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-56))\/(4\/24*9\/4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19.7, -3, -0.1, 0, 5 in ascending order.\nAnswer: -19.7, -3, -0.1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14614995, 29229983, 43844967, 58459947, 73074923?\n\"Answer: -2*w**2 + 14614994*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 18\/(-12) + 45\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24160 and 5502440.\nAnswer: 22009760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12672, -12634, -12608, -12600, -12616?\n\"Answer: -f**3 + 45*f - 12716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 600 + 605 = 5*k, 3 = 3*k + r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 9:54 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aavjcavsajjjvjjj. Give prob of picking 1 j and 1 a.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v**34*v)\/v)*v)\/(v**(-1\/7)*v))\/(v*v**(-14)*v)**(-2\/49) assuming v is positive.\nAnswer: v**(-1683\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144836 and 8907414?\nAnswer: 17814828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)*p**(2\/25))**(2\/13) assuming p is positive.\nAnswer: p**(-96\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.4 (c) 10 (d) 9 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 68*l**2 + 428*l - 61. Let w be v(61). Let b(y) be the first derivative of 0*y**3 + 0*y**2 + 11\/4*y**4 + w*y + 24. Determine b(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 12) in base 3?\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 62 or -2422758?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 2:42 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 + 38 + 10 + (1 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 - -0.28. Let o be 0 + 2\/(-4)*-1. Let d be 5\/4 + (-2)\/8. What is the closest to d in -4, i, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 17*q - 2. Let h(b) = 15*b - 2. Let k(r) = -693*r + 93. Let m(l) = -45*h(l) - k(l). Determine 3*a(d) - 2*m(d).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -129*f**2 + 4*f - 2. Let s be z(-10). Is ((-1)\/(-3))\/((-6)\/s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.91836 * -0.69\nAnswer: 4.0836684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1414\/202)\/(-2*(-2)\/8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 4 + (5 - (49 - 18))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -1\/21951613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(2976\/(-72))*16\/((-4)\/(-2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1008 = 15*g + 48*g. Let z(p) = 4*p - 3. Let t(u) = -20*u + 16. Let i(v) = -v + 13. Let n be i(10). Determine g*z(k) + n*t(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*n**5 - 83420*n**4 - n**3 + 2*n**2 - 30327842 wrt n?\nAnswer: -3720*n**2 - 2002080*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d**5 + 40*d**4 + 15*d**3 = 0. What is d?\nAnswer: -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 424 or 253821\/598?\nAnswer: 424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 10*p + 17. Let h be i(-8). Which is greater: h or -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 4*w**2 - 4*w - 4. Give s(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {n: 13, t: 6}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 42102649 to the nearest 1000000.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 15*p. Let t(g) = 253*g**2. What is b(t(f))?\nAnswer: 3795*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/1*(-23832)\/145971\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21280 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 3*z = -3*d - 34, -z - 4 = 0. Let k = 114 + d. Calculate the remainder when k is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/6 (b) 1 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-99))\/((-32)\/(-176)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4\/3, -1, -3, 0.2497, -25\/7?\nAnswer: 0.2497","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-188)\/(-282))\/((-2)\/(-19329))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 928\/(-36) - 180\/810.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3 + 1 - q**2 - 5 - 9*q. Let t = 6 - 10. Is g(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 = 3*b. Differentiate -2*p**2 - p**2 + 5*p**2 - b wrt p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 215*i + 70529. What is o(-328)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*f + 11*b**2*k - 462*b**2 + 1629513*f*k - 2*k - 9 wrt f.\nAnswer: 2*b**2 + 1629513*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -1042404?\nAnswer: 1042401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(110)\/sqrt(90) + 1) + 1*(-2*sqrt(1100) + sqrt(1100) + 1 - sqrt(1100)) + 2.\nAnswer: -21*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*j - 5*q, 10*q - 6 = 7*q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -326 and 3.\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*a + 289*a + 9582 = -2826 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*o - 4*q, 4*q - 16 = -0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 615310.\nAnswer: -2\/307655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 576.66411 milliseconds in days?\nAnswer: 0.000006674353125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 34 = -41 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 2*k**2 - k - 4. Let p(n) = n**3 - n**2. Give 4*p(c) - 2*u(c).\nAnswer: 2*c**3 + 2*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2550\/50 - 1290\/25?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 6, 4, -1, 9945 in increasing order.\nAnswer: -5, -3, -1, 4, 6, 9945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 31 (b) -2\/9 (c) -3789 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(5) - (3*sqrt(5) + 4))**2 - sqrt(35)\/sqrt(7)*1 - ((sqrt(5) - (sqrt(5) + -1)*-1) + sqrt(20)\/sqrt(4)*-6)**2).\nAnswer: -44 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 513, 4012, 13509, 32004, 62497?\nAnswer: 107988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004723 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8666071 less than 216651774\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfs when three letters picked without replacement from {s: 2, t: 2, i: 1, z: 4, f: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2034*h = -2076*h - 78 - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66944 divided by 38?\nAnswer: 33472\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3949 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 + 28*v\/15.\nAnswer: 2*v*(5*v + 14)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 161, 183, 215, 263?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40071.127569 - -9103.372241. Let b = 49173 - h. Let x = -1.5 - b. Round x to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 32\/5 of a century?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84398.\nAnswer: 2, 19, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -249 - -1112. List the prime factors of y.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20 + 11)\/(2\/(-24))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from {o: 9, r: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1261*j - 6318. Calculate w(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -442*x + 2. Let d(o) = -445*o + 1. Calculate -3*d(j) + 4*q(j).\nAnswer: -433*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -0.3, 34\/9 in descending order.\nAnswer: 34\/9, -2\/13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 159, 175, 173, 147, 91, -1, -135?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1189, 2126, 3029, 3910, 4781, 5654?\nAnswer: 6541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8762*m + 5. Let c(p) = 2*p**2. Calculate y(c(j)).\nAnswer: -17524*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 48*m**2 - 3*m - 588. Give j(48).\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -424\/7 (c) 0 (d) -0.0448\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3*u + 8. Solve 3*g**4 - 3*g + 12*g**2 - 9*g**3 - 3*g**u + 0*g = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by -28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - 6*sqrt(13)*2)**2 + -1 + sqrt(832).\nAnswer: 8*sqrt(13) + 1572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11103, -22206, -33309?\n\"Answer: -11103*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 8*a**2 - 6*a + 7. Let i be 14*((-4)\/8)\/1. Let b be j(i). Let n(w) = w**3 + w**2 + w. Give n(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9860)\/(-13804)*(-7238)\/55?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5\/7 + 15*z**4\/7 - 12*z**3\/7 - 4*z**2 = 0. Calculate z.\nAnswer: -1, 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 12:19 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -5.62 (b) -1\/13 (c) -3\/4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578197?\nAnswer: 23, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -2. Suppose 5*t + 0*t = c. Let l(x) = 6*x**2 + 0*x**2 - 14*x**2 + 6*x**t. Let g(u) = -7*u**2. Give g(l(w)).\nAnswer: -28*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -856*l*p*t**3*y + l*p*t**2 + 6*l*p - 2*l*t*y + 2*l*y + p*t**3*y wrt t?\nAnswer: -5136*l*p*y + 6*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 892*v + 335 = 4795 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/((-2121)\/(-5656))*(-2)\/8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 2.3. Let f = -1 + l. Let a = -46 - -42. What is the closest to f in 3, -3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 4*c + 25, 4*c - 57*i + 58*i = 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -99, -147, -215, -309, -435, -599, -807, -1065?\n\"Answer: -w**3 - 4*w**2 - 29*w - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 - 3*l + 12 - 6*l + 2*l + 3*l + (l + 0 + 0)*(-2 + 0 + 0).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 714*o**2. Let p(i) = 2*i**2. Determine p(r(l)).\nAnswer: 1019592*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 124*s**2 - 1341*s - 141. Give l(-134).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*g - 4*g + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*j, -205*c = -209*c - 4*j + 392. Calculate the lowest common multiple of c and 1026.\nAnswer: 16416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 181*h**2 - 574*h + 4056. Calculate d(184).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5310\/(-44604))\/((50\/(-6))\/5)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133 by -19.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 13*n**3 - 27*n**2 + 2*n + 16. Let i(j) = 9*j**3 - 19*j**2 + j + 11. Let c(a) = 5*g(a) - 7*i(a). Calculate c(3).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2 - 2*o + 2*o + 4*o - 3*o + o**2. Let g be p(2). Let l be (-4)\/(-1)*2\/g. Solve -5*d = -l*d - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 2*m**2 - 2*m**2)*(m**2 - 2 + 2) - 3*m**5 + 5*m**5 + 0*m**5 + 132*m - 67*m - 7*m**5 - 67*m - 4*m**3.\nAnswer: -3*m**5 - 4*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-415)\/249*(-6)\/14.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 24*t**2 - 348*t - 76. Let y be l(-10). Let x be 11 + -1*(-6)\/(-2). Solve y*v = -0*v + x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + -5*(sqrt(13) + -1)*5).\nAnswer: -78 + 75*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/(-21) + 2\/3)*15. Suppose -19 = -3*w + 3*v + 11, 2*v = -10. Suppose -d = w*c - 1, 7*c - 4*c - 5 = -5*d. Sort y, c, -3.\nAnswer: -3, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 4*d - 4. Let k be c(5). Let b be k*(-3)\/(-3)*-3. Sort b, 3, -1 in ascending order.\nAnswer: b, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14527087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*b**2 - 94*b**2 + 82*b**2 + 78*b**2.\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 48\/5 of a micrometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**4 - 65835*k**2 - 5*k - 10524 wrt k.\nAnswer: -24*k**2 - 131670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 23*p**2 + 23*p + 24. What are the prime factors of j(12)?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2225 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2811?\nAnswer: 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-224)\/(-14) + -1*(-2 - -3). Suppose -p*v + 2608 = v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j**2 - 3*j - 78. Give w(9).\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15921 - -10885. Put 4, -3, u in decreasing order.\nAnswer: 4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 178, -3\/4, -74.9?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 + 13*l + 5. Let y be t(-5). Suppose 5*f = y - 50. What are the prime factors of (3 + -6)*f*1?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 610*q**2 - 27*q - 16464. What is v(-610)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -1, -16, -37?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -9*s + 321. Let z(c) be the third derivative of c**5\/15 + c**4\/24 - c**3\/3 + 3*c**2. What is the remainder when z(-4) is divided by a(34)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*l**2 - 32*l**2 - 3*l**5 + 34*l**5 wrt l?\nAnswer: 1860*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.14 to the nearest integer.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**5\/80 - n + 2. Let s(x) be the first derivative of j(x). Find u such that s(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (8 + 7)) + 14 + -2 + -14?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 - 52 + 5 = -32*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.33 - -0.19. Let u = 1957 - 1958.157. Let p = u - z. Round p to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 280 = 445. Solve m*s + 11 = -4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 710, -5, -4 in ascending order.\nAnswer: -5, -4, 710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 10 - (-2550)\/(-255). Is v <= -2\/15105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10789748.\nAnswer: 2, 2697437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**6\/90 + 4*v**5\/15 + 3*v**4\/2 - 25*v**3\/3 - 37*v**2. Let s(u) be the first derivative of r(u). Find p such that s(p) = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 4, w: 1, p: 10, b: 4}. What is prob of picking 1 p and 1 w?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**5\/20 + 7*a**4\/12 + a**3\/2 - 5*a**2 - 123*a. What is n(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2 + 17*c + 28*c + 1 + c. Calculate o(-2).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = k - 3*k, -2*k = 2*b + 18. Let m(z) = 6*z + 30. Let n be m(b). Is 734*(n + 3 - -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 2*c - 3*c - 24 + 28 - 1723*c**4 + 1725*c**4 - 116 as w*c**4 + z*c**3 + l*c + s + d*c**2 and give s.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 469*s**2 - 66.\nAnswer: -469*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 98065222799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.25791 rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - (-1302)\/28*(5 - 1)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -13. Let w = -6 + 2. Let m = w + r. Which is smaller: m or 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3692976 divided by -230811?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 431631626 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**3 - 252*p**2 - 19*p + 1198. Calculate h(63).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -784 + 27442\/35. What is the closest to -1\/4 in -1\/7, q, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 - 6721*s\/4 - 6725.\nAnswer: (s - 6725)*(s + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -0.1. Let x = 0.085 - 47.085. Let y = -46 - x. What is the closest to a in y, 3, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -4*p - 3*q, -p + q + 29 = -0*p. Suppose -2*t - 3 = 4*r - 9, -5*t = -r + p. Suppose 0 - 6*y + 2*y**2 - r*y**2 + 2*y**3 + 4*y + 2 = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + 42*j - 113 = -15*b + 3*j, 2*b + 7*j = 17 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -5. Suppose 2*g + u*p - 33 = -2, -4*p + 12 = 0. What is the remainder when g is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*y + 4, y + 0*y - 4 = -4*o. Suppose 10 - 6 = o*s. What is the least common multiple of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/15)\/10*(-510)\/(-34)*-3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44521*k**3 + 6292*k**3 + 19280*k**3 - 60941*k**3.\nAnswer: -79890*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -943.02\nAnswer: -942.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -3. Let t = 1.8 + -2. Let s = 25 - 99\/4. Which is the nearest to 1? (a) s (b) t (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 16*h**3 - 5*h**2 + 7*h + 3. Let l(k) = -15*k**3 + 4*k**2 - 6*k - 2. What is -5*l(t) - 4*p(t)?\nAnswer: 11*t**3 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458*l + 482*l = 722160. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7836118 and 10782.\nAnswer: 70525062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1022 - -959 - (-9 - -3 - 4)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -462 divided by -1.\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 <= 310275\/769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*h**3 - 3*h**3 + 4*h**3)*(-3*h - 2*h + 4*h)*(20*h + 21*h + 9*h) + h**5 - 2*h + 2*h.\nAnswer: -599*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 991, 3206, 6643, 11308, 17207, 24346, 32731?\n\"Answer: k**3 + 605*k**2 + 393*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1670021*w**5 - 2679931*w.\nAnswer: 33400420*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(2 - 1))\/(93\/(-10305051)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, 82, 407, 894, 1597?\nAnswer: 2570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29991*z + 89970*z - 29991*z - 29983*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0349 and -10553125?\nAnswer: 10553124.9651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 677160 divided by -2090.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 - -2066*-7*24\/(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 - 17.9. Let a = -17.02 - t. Round a to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-22)*h*h))\/(h*((h*((h*h**31)\/h)\/h*h)\/h)\/h))\/(h\/h**(4\/5))**(-41) assuming h is positive.\nAnswer: h**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l, 19*l = v + 24*l - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 3\/(9\/(-12)*-2)*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(425) + 3 + 2*(sqrt(425) + -2))**2.\nAnswer: -10*sqrt(17) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 12 = -5*g, -4*q + 2*g - 4*g = -10. Let c be (2 - q) + (-2)\/(-1 - 1). Differentiate -15*y**4 + 2163*y**2 - 2163*y**c + 2 wrt y.\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2025138 is divided by 254.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -1. Let o = 0.06 + -0.06. Let f = o + 5. Which is the nearest to q? (a) f (b) 0 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y. Let w be ((-67)\/(-201))\/(2\/54). Let o(s) be the first derivative of 0*s + 1\/3*s**3 - w + 0*s**2. Calculate o(a(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - (1 + sqrt(108) + sqrt(108) + -1) - (-4 + 2*sqrt(108))) + (3*(sqrt(108) - (1 + sqrt(108))) - -5*(sqrt(108) + 1))*-1)**2*4.\nAnswer: -768*sqrt(3) + 27664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + g**2 + 3*g. Let b(z) = z**2 + 8*z + 14. Let d = 21 - 27. Let c be b(d). Let t be i(c). Solve -t*f + 4*r - 1 = 1, 0 = f + 5*r + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (301\/(-43))\/(-2*35\/440).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4295281, 8590555, 12885823, 17181085?\n\"Answer: -3*w**2 + 4295283*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + (-5 - (-1 + -27 + 14 + 4)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -17. Let c(f) = -7*f**2 - 1. Let u(y) = 4*y**2. What is x*c(m) + 5*u(m)?\nAnswer: -m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 4. Let v be b(-2). Calculate the common denominator of 25\/250*(-31)\/v and 35\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -19*o. Solve o = 4*y - y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 1:38 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = 2*b + 3, -v - 4*b - 14 = 0. Let f be 56\/105*v\/(-40). Let y = 3 - 2. Which is bigger: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -6 - (1 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/5*h**2 - 2594\/5*h - 1682209\/5 = 0. Calculate h.\nAnswer: -1297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/4*(-80)\/(-12). Let v = 121 - 71. Calculate the highest common factor of z and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2850693, -2850695, -2850697?\nAnswer: -2850699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88135*r**6 + 51*r**2 - 15*r + 10 wrt r.\nAnswer: 10576200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 36 = 3*d, 0*h + 3*d - 28 = 5*h. Let n = 3 + h. Let v(y) = y**2 + 5*y + 7. Let q be v(n). 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: Expand (-3074*k + 7*k**2 + 1 - 3 + 3069*k)*(0*k + 3*k + 0*k).\nAnswer: 21*k**3 - 15*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/6)*(n*n*n**(-3\/5))\/n)\/(n\/(n\/n**(2\/3))*n*n*n**(-2\/7)\/n) assuming n is positive.\nAnswer: n**(-31\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 1557 and 1553 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527506?\nAnswer: 2, 7, 41, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 62*r**7\/21 - 7*r**4\/24 - 4*r**3\/3 + 507*r**2. Find the second derivative of m(x) wrt x.\nAnswer: 7440*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.17 - 0.37. Let g = n - 7. Let y = g - 1.2. What is the third biggest value in y, -2\/23, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/120 and -103\/924.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 32\/7*y**2 - 15 - 16\/7*y**3 - 26*y + 3\/7*y**4. Let p(n) be the first derivative of j(n). Factor p(b).\nAnswer: 4*(3*b - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 14) in base 11?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.78 - -2.3. Let f = m - 0.02. Sort -2\/7, f, 0.06 in decreasing order.\nAnswer: f, 0.06, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -47945, -95940, -143935, -191930?\n\"Answer: -47995*g + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.2 - 78.2. Let y = a - -68.1. Let l = y - -2.8958. Round l to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 119710220.\nAnswer: 239420440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4637.18 to the nearest one hundred.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {m: 6, r: 2, d: 5}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -68, -137, -196, -239, -260, -253, -212?\n\"Answer: v**3 - v**2 - 73*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 1:32 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215.6233mm to kilometers.\nAnswer: 0.0002156233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 0 + 0 + (-2*l**2 + 4*l**2 - 3*l**2)*(l + l - 4*l) + (-73 + 73 + 27*l**2)*(0*l - 2*l - l) in the form r*l**3 + t*l + v*l**2 + n and give r.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*v + 24 = -220*v. Suppose -5*h - v*d = -2*h - 1467, -5*h = 4*d - 2449. What is the remainder when h is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -2.5. Let l = 30.2 + 4.8. Let q = -34.7 + l. Which is the nearest to 1? (a) -2 (b) q (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*o = 395*o + 5*k + 15, 0 = 6*o - 4*k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009870227 to 7 decimal places.\nAnswer: -0.0000987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7628328 divided by 6?\nAnswer: -1271388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + 140\/(3 - -2) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 9:15 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((160\/6)\/(-8))\/(5\/15). Is 1\/w + 133\/140*138 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -122713849*g**2 + 12540147?\nAnswer: -245427698*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 83.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-7)\/(-49) + -12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676572 divided by -13011?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -0.3, 0.3, 489, -35 in increasing order.\nAnswer: -35, -29, -0.3, 0.3, 489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 7*t + 2. Let h be i(7). What is the second derivative of -o**2 + h*o + 2*o**5 - 6*o + o**2 wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 22074757 and -1?\nAnswer: 22074758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 5, -26679, 2, 3 in decreasing order.\nAnswer: 5, 3, 2, -40, -26679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b**4 + 34*b - 28*b - 9*b**4 wrt b.\nAnswer: -168*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221 divided by 234523\nAnswer: 221\/234523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1743973?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 172964 or 172963?\nAnswer: 172964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*a = m + 12, 9*m + 3*a = -12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 6*w**3 - w**3)*(-6*w - 4*w**2 + 6*w).\nAnswer: -12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 25*a**2 - 16578*a - 33175. Calculate o(-2).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c - 2*a - 1806, -4*c = 4*a - 3604. List the prime factors of c.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38.849 + -1307.\nAnswer: -1345.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/4 - 23\/(644\/(-4158)). Suppose s = 3*z - 223, 4*z = -10*s + 8*s + 304. Calculate the highest common factor of d and z.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 379 + -267. Let d = g - 112.1. Let l = -1145\/9 + 127. Which is the nearest to 0.1? (a) d (b) -0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38722 is divided by 1949.\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37179 and 3375.\nAnswer: 4647375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - b = 677. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**(1\/2)*m))**(1\/29)\/(m**(-1\/2)*m\/m**3))**(-2\/97))**(-11) assuming m is positive.\nAnswer: m**(1562\/2813)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4688 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: Simplify 1 + (-6*(-5*(1 + sqrt(147)) - (-3 + 2 + sqrt(147)))*2 + 4)**2 + -1.\nAnswer: 52416*sqrt(3) + 764752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -4*n**2 - 1\/6*n**3 + 0 - 33*n. Calculate u(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**5 - 23128*k**4 - 34737288*k**3 - 20219140080*k**2 - 4090725566100*k + 8262605961000 = 0. Calculate k.\nAnswer: -3849, -645, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1028 is divided by 207.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1544?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2143708, -2143696, -2143684, -2143672, -2143660, -2143648?\n\"Answer: 12*q - 2143720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 171499 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 811457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 9:01 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 4*h**2 + 4*h + 10. Let c be w(-5). Suppose -3*b + c = -2*b. Solve -7*m = -2*m + b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 378 - 364. Let s(g) = 5143 - 5143 + j*g**2. Let u(l) = 15*l**2 + 20*l + 20. Let b(k) = 2*k**2 + 3*k + 3. Let f(y) = 20*b(y) - 3*u(y). What is s(f(o))?\nAnswer: 350*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.53 or -4573?\nAnswer: -4573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14447000 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 27*l + 887. Give u(45).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084 a factor of 9369012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -680.626 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 26 = 3*k, 2*k - 4*n = 3*k - 22. Let y be (-2 + k)*(-3 - -2). Suppose y*u = -3*u + 72. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*g*y + 53*g + 21061*y wrt g?\nAnswer: -38*y + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14287 - 17550 = -1003*v - 24*v for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 5:38 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2685, 3937, 5113, 6207, 7213, 8125?\nAnswer: 8937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3574.67 to the nearest integer.\nAnswer: -3575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -31.7, 0.18, -2, 1\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-30) - 12\/(-30).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (-9 - -13)) + (-43)\/(-21). What is the second smallest value in -0.5, -4, 4, a, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 186081 times -0.5\nAnswer: -93040.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 bigger than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -28. Suppose 1 = i*n + 22. Let s be (-6)\/n*4\/8. What is the nearest to 2\/9 in 1\/3, -3, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 minus 468?\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 7:00 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -2*m - 12. Suppose -w + 3 = -0*w, 3*d - m*w = 126. Suppose -3*p = d - 228. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54.3478 - -16.\nAnswer: -38.3478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 471741384 and 1488.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 50.71*-182.7\nAnswer: -9264.717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 2. Let p be j(6). Let x be 2 + 2\/(p + 5). Solve x = -f - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + 32310?\nAnswer: 32325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.25266 + 0.04734. Which is the closest to v? (a) -1\/7 (b) 0 (c) 1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19975976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - (1\/1)\/((-17)\/102). Let r(u) = -u**3 - u**2 - u + 20. Calculate r(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70751 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u + 2913215 = -10098825. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -48*s**2. Let z(a) = -230797 + 230797 + 5*a**2. What is i(z(h))?\nAnswer: -1200*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/8, -0.4, 16, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 8\/20*65. Solve 30*a = v*a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(76))**2 + sqrt(684) + 0.\nAnswer: 6*sqrt(19) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 + 11*n + 8. Let g be x(6). Let w = 6.6 - 7. Sort w, -2\/3, -1\/7, g in decreasing order.\nAnswer: g, -1\/7, w, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 594, 588, 582, 576, 570, 564?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/72 and -91\/52735944.\nAnswer: 158207832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -410 + 410.1. Put 3, -2\/7, c, -6 in descending order.\nAnswer: 3, c, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 0.5 (b) 108 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*u**3 - 5913*u**2 - 152146*u.\nAnswer: -60*u - 11826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 10*s - 3 + 0.\nAnswer: 10*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1586158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -809*b**3 + 4*b**2 + 45*b wrt b?\nAnswer: -4854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -17*a**7\/455 + 127*a**6\/195 - 1153*a**5\/390 + 167*a**4\/39 + 28*a**3\/39 + 7515*a**2. Solve d(w) = 0 for w.\nAnswer: -2\/51, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen fifths of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (1*sqrt(95)*-1 + sqrt(95)) - (sqrt(95)*2 + sqrt(95))*2)\/(sqrt(5) + sqrt(5)*-2*-3 + (-2*sqrt(5) + sqrt(5))*1 + sqrt(5)).\nAnswer: -5*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + -10 - 4\/2. Let j = 9 + g. Let l(f) = -f**3 + 5*f**2 - f. What is the units digit of l(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 13*m - 11. Let k be (-236)\/(-16) - 9\/12. Let d be t(k). Solve -2*b - 11 = d*y, 2*y = y + b - 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52779889?\nAnswer: 163, 323803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142837693?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -390, 1.52?\nAnswer: -390","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2 + 8. Factor -38*o**2 - 11*o**c + 0 - 6*o - 1 - 8*o.\nAnswer: -(7*o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*z**2 - 11*z**2 + 26*z**2 - 5.\nAnswer: -14*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = l - 2*y, 0 = -4*l - 4*y + 16. Solve -l*i = -5*r - 6, -3*r + 3*i + 12 = 7*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**4 + 2*f**4 - 6*f**4)*(0*f + 0*f - 2*f) + 3*f**2 - 3*f**2 - 3*f**5 - 27*f**5 - 29*f**5 + 23*f**5.\nAnswer: -34*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34371009?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40657778 is divided by 857.\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3242 - 3022?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 99279416*n**5 - 9*n**2 + 10011076?\nAnswer: 5956764960*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 4*w - w)*(-876*w + 876*w - 31*w**2 + (2 + 1 - 2)*(4*w**2 + 0*w**2 + 2*w**2)).\nAnswer: 25*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1726801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*s - 61 - 117*s + 621*s.\nAnswer: 642*s - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604 a factor of 136608444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43579, -87169, -130765, -174361, -217951, -261529, -305089?\nAnswer: -348625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1865*a*v**6 + 9124*a*v**3 + a*v**2 + 385*a*v - 161*a + 2*v**2 + 3*v wrt v.\nAnswer: -223800*a*v**3 + 54744*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(196)*3)\/(sqrt(112)*-6))\/(-4*1*sqrt(324)*5).\nAnswer: -sqrt(7)\/1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 4)*(0*z - 2*z - 2*z) + (-34 + 29 - 61)*(-5*z + 8*z - 9*z) in the form x*z + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/2 (b) -2 (c) 4 (d) -1\/2841 (e) 2\/3 (f) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - (-2 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**5\/20 + 3*t**4\/4 - t**3\/3 + 3*t**2 - t. Suppose -40 = 4*q - 4. List the prime factors of b(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 744 and 81468?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 510250 a multiple of 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -200.023 - -0.023. Let t = -240 - l. Which is the nearest to -0.1? (a) 4 (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*n + o - 18, -3*o - 14 = -2*n. Let u be (10\/n)\/((-10)\/(-8)). Is (-409)\/(-1 - 0) - u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -0.4, -4\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 3*x + 6. Let l(v) = -6*v**2 - 1374*v - 8022. Let u be l(-6). Put x, -12, u in descending order.\nAnswer: u, x, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ssasssbnasbysb?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 43.6808728104 and 0.3.\nAnswer: 43.9808728104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 11) to base 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1101011010000101111 (base 2) to base 6\nAnswer: 13225555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 245 - 550. Let r = m + 3357\/11. Let k = 23\/88 - 1\/88. What is the smallest value in -1, k, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5849 + -29242\/5. Let v(n) be the first derivative of 14 + g*n**2 + 0*n - 2\/5*n**3. Factor v(s).\nAnswer: -6*s*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 23696?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s - 1. Let x(o) be the first derivative of -o**2\/2 - o + 546. Determine h(m) + 3*x(m).\nAnswer: 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/84 + (-1)\/6. Put 4, f, -0.4 in ascending order.\nAnswer: -0.4, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 144 or 726\/5?\nAnswer: 726\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 84758?\nAnswer: 847580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -5, 112?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*m = -8*m + 2807 + 2709 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 10*b**2 + 8*b + 11. Let k be 222\/24 - 1\/4. Let t be i(k). What is the tens digit of (-15)\/t*28\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/(-16) + ((-252)\/(-96))\/(-7). Sort 0, 5, 4, 20, i in descending order.\nAnswer: 20, 5, 4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5642841593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 3, -54, 5\/6 in increasing order.\nAnswer: -54, 1\/2, 5\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93797, 187591, 281385, 375179?\nAnswer: 468973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17 (b) -4 (c) 1.46 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 2\/11908209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 2, 3, -407595, 0 in descending order.\nAnswer: 3, 2, 0, -1, -3, -407595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 7*v + 7. Suppose 2*q + 4*r = -r + 41, 0 = -q - 3*r + 23. Let a be m(q). Let w = a + 7. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 8. Find the second derivative of -g**2 + 20*g**3 + g**2 + 2*g - 10*g**n wrt g.\nAnswer: 60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9007*p**3 + p**2 + 2*p + 1. Let y be j(-1). Let m = y - 162023\/18. Calculate the common denominator of m and 706\/(-60) + 6\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxt when three letters picked without replacement from ettthahveeexexexe.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*8*9\/936)\/(-1)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 27*h**2 + 52*h + 46. Let l be u(-25). Let k(z) be the second derivative of z**5\/20 + z**4\/3 - z**3\/6 + z**2\/2 + z. What is k(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67278321?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 9:51 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*a - 57 = -93, -4*a = -4*x. Solve n - 3 = -2*y, -3*n + x*y - 16 = -7*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*h + h - 5*h)*(-h**4 - h**4 - 2*h**4) - h**5 - h**5 + h**5 - 6*h**5 + 3*h**5 + 4*h**5 - 3*h**4)*(5 - 6 - 1).\nAnswer: 8*h**5 + 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 a when two letters picked without replacement from {x: 1, a: 5, d: 7, j: 3}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 0 + 0*t**3 + 0*t - 60*t**2 + 1\/50*t**6 - 2\/525*t**7 + 0*t**4 - 2\/75*t**5. Factor g(h).\nAnswer: -4*h**2*(h - 2)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82ab (base 15) to base 6.\nAnswer: -331455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c + c - c)*(-32*c - 42*c - 6*c)*(2*c**2 + 1 + 5*c - 1) in the form f*c**3 + x*c**2 + q*c + a*c**4 + r and give a.\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -6*r + 9. Factor 3*c**2 - 5 - r - 5 + 3 - 6*c.\nAnswer: 3*(c - 3)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -995 + 1881. Let n be 62\/12 - 2\/12. Suppose -n*v + 2*k + u = 0, 5*k + 1165 = 5*v + 270. What is the highest common divisor of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.26 - 2. Let w = 4.654 + p. Round w to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 20*a + 6. Let y(w) be the first derivative of -10*w**2 - 5*w - 705. Give 6*y(k) + 5*z(k).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**2. Let u(z) = 37*z**2 - 165. What is u(v(c))?\nAnswer: 333*c**4 - 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147763 + 20391143\/138. Find the common denominator of (29 - -1) + 1210058\/(-41316) and y.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*((-4)\/(-2) - -2). Solve -29 = -d - 5*p, -4*p = -3*d - 4 - a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 10*u**2 - 24*u**2 + 81*u**3 + 0 + 14*u**2.\nAnswer: 81*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 1801*k**5\/390 - k**4\/78 - 6507*k**2. Find h such that r(h) = 0.\nAnswer: 0, 2\/1801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7499, -15006, -22529, -30068?\n\"Answer: -8*b**2 - 7483*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 33*m - 212. Determine u(5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -2*n + 7\/2*n**2 + 2 + 2\/3*n**3. Let y(f) = -f. Let x(o) = -2*o. Let l(u) = 2*x(u) - 3*y(u). Give -5*l(p) - q(p).\nAnswer: -2*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 7) + (113 - 124) + -30 + 17 - 4\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 147.8405 times -5\nAnswer: -739.2025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 4.04.\nAnswer: -12.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 5 (c) -1\/96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j**3 - 36*j**2 - 4*j. Let b(w) = -7*w**3 - 35*w**2 - 5*w. Determine -4*b(p) + 5*v(p).\nAnswer: 3*p**3 - 40*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q\/q**17)*q)\/q)\/(q**2*q)*q**(6\/13)\/q*(((q\/(q*(q\/(q**(-20)\/q))\/q))\/q)\/q)\/q*q*q assuming q is positive.\nAnswer: q**(-98\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52469?\nAnswer: 71, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28092025 a multiple of 845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46.71 - 0.71. Let f = j + -45.9928. Round f to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.563619 days to hours.\nAnswer: 85.526856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**3 + v**2 - v - 2. Let s be m(2). Let o be s\/9 - 4\/6. Let j(k) = k**2 - k. Give j(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-11 + 6)) + -10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2 + 66180*z + 198504 = 0. Calculate z.\nAnswer: -16542, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 466*a + 113*a**2 + 15*a - 633*a**2 wrt a?\nAnswer: -1040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -4045?\nAnswer: 4048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80\/1 + (2 - 13) is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-192)\/720)\/(1\/3*(-5947)\/(-399) - 5).\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*n*u*x**3 - 299*n*x**3 + 11*u - 92*x**3 wrt n.\nAnswer: -8*u*x**3 - 299*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 770, 3412, 7798, 13904, 21706, 31180?\nAnswer: 42302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + -1202310203?\nAnswer: -1202310231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 24 = -2*l. Let u = l + 2. Suppose -2*q - 27 = -5*z, 0 = 2*q + 4 - 2. Calculate the remainder when u is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49584 and 176?\nAnswer: 545424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -856383722159 and -234.\nAnswer: -856383722393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103917 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 - 2*d**2. Let o be p(2). Suppose -o = -w + 9. Let j(q) = q**2 - w*q**2 - 3*q**2. Let v(y) = -2*y. Determine j(v(h)).\nAnswer: -76*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 9*y = 3073. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -539*s + 542*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -136*o + 284*o. Which is smaller: o or 68\/203?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 936100133?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1608*x + 8032. What is h(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/3 and 43\/75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*l - 327, -5*l + 6*i + 790 = 3*i. Solve 158*b = l*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n = 10*n - 12 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12644346 (base 7) to base 15.\nAnswer: -181db0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -2. Let c(x) = -x**2 - x + r*x - x. Let n(j) = j - 5 + 5. Give c(n(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35191.\nAnswer: 13, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o**4 + 4*o**3 - 6*o**2 - 4*o - 2. Let v(d) = -3*d**4 + 4*d**3 - 5*d**2 - 4*d - 2. Let q(i) = 6*v(i) - 5*w(i). Factor q(h).\nAnswer: 2*(h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1*5\/85). Let c(h) = 528*h**3 - 22*h**2 - 26*h - 20. Let b be c(m). Round b to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2571 = -40*y - 19*y - 3751 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 917\/4585*45\/27?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*o - 2*s, -5*o + 0*o - 5*s - 65 = 0. List the prime factors of (o\/(-7))\/(2\/14).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-5\/3)*p*p*p*p*p*p*p\/(p\/(p*p*p**(-2\/27)*p*p)))**(2\/13) assuming p is positive.\nAnswer: p**(500\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 3579653211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 61*v - 337. What is i(52)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*a + 48. Let j = a + 20. Suppose -5*d = -j - 52. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 21*p = -16*p - 35914, p - 59820 = -5*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -168, -161, -132, -69, 40, 207, 444, 763?\n\"Answer: 2*y**3 - y**2 - 4*y - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 2416 in descending order.\nAnswer: 2416, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l + 4*l + 13*l**2 + 3*l. Let p(f) = 2*f. Give p(m(r)).\nAnswer: 26*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0109 + 0.4109. Let y = 0 + 0. Let u = 0.5 - y. Which is the nearest to 0.4? (a) z (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3987c1 (base 16) in base 5?\nAnswer: -1431122210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-35)\/(-10)*1)\/((-1)\/46). Let k = -26 - d. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*t - 56*t - 447. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -47*z**3 - z**2 + 1. Is t(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/18 and 5799\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 69*j + 2. Let g be x(2). Suppose 0 = -2*r - 2*r + g. Suppose 7*b = 32 + 94. What is the remainder when r is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j - 25. Calculate x(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 540347, 540345, 540343, 540341, 540339, 540337?\nAnswer: 540335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 532532 and 25935.\nAnswer: 7987980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/5)\/(w\/w**(4\/9)))\/(w**(1\/4)\/(w\/((w\/(w\/(w\/((w**(-1\/3)\/w)\/w))))\/w))) assuming w is positive.\nAnswer: w**(-421\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 9*v**3 - v**2 + 6*v - 7. Let h(l) = 26*l**3 - 4*l**2 + 19*l - 22. Let a(b) = 7*f(b) - 2*h(b). Does 19 divide a(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 8) to base 12\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/345 and -52\/7843.\nAnswer: 117645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*g - 28*g + 2184. What is the greatest common factor of g and 2352?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -231 - -231.1. Is l greater than 83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 6 - -3) + (-5 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-12) - (-6)\/8. Let c(m) = n*m**2 - 3*m**2 + 3*m**2 - 3*m**2. Let o(t) be the first derivative of -5*t**2\/2 - 39. What is o(c(f))?\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5)\/g**7)\/(((g*g*g**0\/g)\/g)\/g*g)**(21\/8)*(g\/g**(-2\/7))**43*g**(-7)*g**4 assuming g is positive.\nAnswer: g**(1599\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q + 1. Let p(s) = -7*s + 1. Let v(c) = -3*b(c) + 2*p(c). Let d be 0\/(-4) - (3 + 0). Let i(o) = 1 + 2 - 5 + 1. What is d*i(w) + 4*v(w)?\nAnswer: 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220012011012210 - 212?\nAnswer: 1220012011011221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1881344 divided by 29396.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/90 and 7\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -194549.8275 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a4a (base 14) to base 13.\nAnswer: -bcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 28*i**6\/135 - 97*i**5\/90 - 11*i**4\/3 - 83*i**3\/27 - 10*i**2\/9 - 6*i + 24. Find q, given that b(q) = 0.\nAnswer: -1, -2\/7, -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 15 = -19. Suppose l + 0*l = 5*r + y, 5*l = -3*r - 8. Which is the closest to 15? (a) r (b) 0.2 (c) 2\/3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, 4, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*o**5*t + 5*o**4*t - 24*o**4 - 2*o**2*t + 440*o**2 wrt o.\nAnswer: 1320*o**2*t + 120*o*t - 576*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -11 - 25. What is the highest common factor of 54 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 996408 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 + y - 1. Let k(p) = -11*p**2 + 3*p + 20. Let h(l) = k(l) - t(l). Find the second derivative of h(c) wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.1, -2\/3, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117 + 352\/3. Put 50, p, -2 in decreasing order.\nAnswer: 50, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2. Let l(t) = -t**2 - 8*t + 2. Let y be l(-8). Let k(p) be the second derivative of 0 + 0*p**y + 1\/3*p**3 + p. Give k(h(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66 + -3?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1281663 by 251.\nAnswer: 1281663\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nyylrhlg. What is prob of sequence hnrl?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-86)\/(-11997))\/(2\/18).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eew when three letters picked without replacement from sdseeesseewedsed.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 13.7. Let m = -0.1073 + -1.9927. Let k = x - m. What is k rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4868 + 4864. Which is the closest to 1? (a) -0.3 (b) -0.0678 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwbbjbjbwbbbjjbbjrb. What is prob of picking 1 r and 1 w?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*f + 263*f - 35*f - 175*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqq. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 497, 1136, 2031, 3182?\nAnswer: 4589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 z when three letters picked without replacement from {z: 1, g: 11, r: 6}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13885391 = 13885389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(98\/63)*(-2)\/180*-5?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d**2 + 3*d + 3. Let l(p) = -14*p**2 + 8*p + 8. Let r = 184 - 184. Let g = r + -8. Determine g*u(f) + 3*l(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 666 + -664. Solve -5*l + 4*l + t = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26574425 to the nearest integer?\nAnswer: 5155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1715.33*-0.03\nAnswer: 51.4599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.64265124 rounded to two decimal places?\nAnswer: -1.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 411 and 821\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i + 36 = 0. Let y(a) = -2*a**2 + a**3 - 10*a**2 - 2*a - 7 + 4*a. What is the remainder when y(12) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 25288704?\nAnswer: 25288704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 944, 1932, 2920?\nAnswer: 3908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*n + 26*n + 32. Let c = -28 - n. Suppose -12 = -9*u + 7*u. Solve -u*t + c*t = 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 491456 to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12\/11, 3\/4, -10, 2, 265 in descending order.\nAnswer: 265, 4, 2, 3\/4, -12\/11, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1938*h - 45362*h**3 - 1938*h - 32068*h**3.\nAnswer: -77430*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1 - 3*u - u - 1. Let c be x(2). Let a = c + 11. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75403 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 232003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 60 = 5*l, n = 25*l - 21*l - 23. Solve 7 = -2*y + 1, n*y + 7 = -2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 725181 = 5*b, -5*b = -80*z + 75*z + 1812830. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-90)\/240)\/(-3))\/(7\/7)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + 27 + 5 + -53 + 9\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323301222 (base 4) in base 13?\nAnswer: 1499bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 6530008*x**2 - 2665056249984*x - 5330138620032.\nAnswer: -4*(x - 816252)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-10))\/((-2)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23\/3 - -155\/21. Let z = 0.0674 - -0.2116. Let r = z - -0.021. What is the closest to f in r, -5, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1446*b**2 - 566114*b + 566114*b + (0*b + 0*b + 2*b)*(-b + 4*b - b).\nAnswer: -1442*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*l + 18. Suppose 15 = l*a - 3. What is the greatest common divisor of a and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -87695 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) 0.1 (b) -0.13 (c) -5 (d) -0.4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 2. Let x be b(3). List the prime factors of 7 - (2 + x - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 1, 222, 3, -115 in increasing order.\nAnswer: -115, 1, 3, 21, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108330 and 414?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 23760.57 micrograms?\nAnswer: 23760570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**3\/3 - 6*k**2 + 3*k - 1. Let g be a(-6). Let p = -23 + g. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*j + 419 + 336 + 121 = 0 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7033*h + 2*h**3 - 14431*h + 7318*h.\nAnswer: 2*h**3 - 80*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10523*i**2 - 55306.\nAnswer: -21046*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 + 31 = -a. Suppose 2*b = -11*b + 104. Suppose o - b = a. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-162)\/1944 + (-97)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84720 greater than or equal to -84721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 8*z + 9. Let k be v(7). Let r = -24 + k. Let w = r - -20. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 9 = 0, 0 = 3*t - l + 5*l + 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + h. Let t(v) = -4*v**2 + 7*v + 7. Give -t(b) + 6*w(b).\nAnswer: -2*b**2 - b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349801, 349788, 349767, 349738, 349701, 349656, 349603?\nAnswer: 349542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 6 (b) -109 (c) -47 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -104, -207, -310?\n\"Answer: -103*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9))\/(-3*2\/(-36)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26a49591 - -2?\nAnswer: 26a49593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1217.88 - 1195. Let y = 46 - 69. Let r = y + j. Round r to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1662 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 67\/3. What is the closest to 2\/7 in u, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 6*a**2 + 2*a - 5. Let j be (-6)\/(-5)*30\/12. Suppose 2*v + j*v = 80. What is the remainder when b(5) is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 209\/159 - 52\/53. Let l be 7*2 + -1 + -1. Are l and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z**2 + 3*z + 12 - z - 2*z**2 to j*z + m*z**2 + p and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 = 0, -4*o = 3*q + 2*q - 1. Let z be (o\/2)\/(8\/80). Let c(r) = 1 - 7*r + 7*r**2 - 4*r**2 - 5*r**2. Determine c(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.104560594075 and -1728.\nAnswer: -1727.895439405925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 36\/(0 - 3). Suppose 2*m + 30 = -4*l, 3*l - 5*m + 40 = -w*m. Suppose -44 - 91 = -135*z. Sort l, 0, z.\nAnswer: l, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 26 - -10) + (-3 - 1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (461 - 437) + (-1)\/(4\/48)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29, 71, 113, 155?\n\"Answer: 42*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s - 12. Let k be t(-3). Solve -k*h + 8 = 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17.7 in 5, -0.2, 0.7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d = 0. Suppose -h - 4*h - 30 = d. Let i(w) = -w**3 - 5*w**2 + 2*w - 8. What is the tens digit of i(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqnqnqyngyqqygyi. What is prob of picking 1 q and 2 g?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-3) + (-55)\/(-15). Let f(x) = x**3 - 3*x**2 + 2*x + 1. Let p be f(2). Solve 2*w = q*w - p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5429243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.54 in 2, -6\/13, 108, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347*b + 7050 = -422*b. Is b greater than -122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26211987 divided by -37\nAnswer: -26211987\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 + 17*i**3 - 9*i**3 + 3*i**3.\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14736106397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)\/g*g)**(3\/2) assuming g is positive.\nAnswer: sqrt(g)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 824.3757 litres?\nAnswer: 824375.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 - 94. Let f = -51 + 71. Let r = f - 20.1. What is the closest to -0.1 in r, q, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7215930 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k. Let v be (-1)\/(-2) + 3\/2. Let q(l) = v*l**2 + 0*l + l - l. Calculate s(q(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/9*-3)\/(2*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 3*h**7\/70 + h**6\/50 + 30*h + 27. Let m(u) be the first derivative of j(u). Let m(i) = 0. Calculate i.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 38. Let l be 3\/a - 6\/(-4). Let -1\/4 - l*b - 1\/4*b**2 = 0. Calculate b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101 + -164. Let y = a - -63. Suppose y = 8*q - 654 - 690. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 8*g**2 - 9*g + 29. Let j be f(6). Is j at most 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -819\/38, -810, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -1\/5 (b) -1.32 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-146.09.\nAnswer: 14.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37817577 is divided by 615.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -62687*-0.4\nAnswer: 25074.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 66751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11266572 by 938881.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from bnnbnbbnnb.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3390300*g**4 + 22*g**3 + 5591748*g**2 - 10?\nAnswer: 81367200*g + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45362, 45356, 45346, 45332?\nAnswer: 45314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 9*z - 107. Is z greater than or equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2166, -4354, -6550, -8760, -10990, -13246?\n\"Answer: -x**3 + 2*x**2 - 2187*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 26*r - 98. What is u(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -449123424 divided by 1124?\nAnswer: -399576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 374130962683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n - 4. Let m(t) be the third derivative of t**4\/12 + 17*t**2. Calculate q(m(h)).\nAnswer: 4*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 905 - 194. What are the prime factors of j?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-228 - (-250 + 162)) + 150?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f - 2. Let i be g(-3). Let c be (-3 - -4) + i - 0. Let s = 16 - c. Calculate the greatest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + -1 + 33\/9. What is the third smallest value in r, 0, -2\/3, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2484291928 to the nearest integer?\nAnswer: 49843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -2*a**4\/3 - 5*a**2 + 224*a. Let w(i) = 15*i**2 + 19. What is 11*m(k) + 6*w(k)?\nAnswer: 2*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 249 + -246. Solve -a - 1 = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-2)\/(-8)*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1924\/208119 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1308412 and 53.\nAnswer: 69345836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 28\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 o when three letters picked without replacement from lllollllloolol?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 725*y + 34805. Determine g(-48).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 1:11 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7103495683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9388 + 9389. Let q = -11 - -9. Put q, 3, z in descending order.\nAnswer: 3, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -145996, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w = -46443837 + 46444962 for w.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4\/9 - 74*z**3\/9 + 92*z**2\/3 + 160*z = 0 for z.\nAnswer: -40, -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, -5, -256, 114.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 82, 2 in decreasing order.\nAnswer: 82, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.05 and -1.2576.\nAnswer: 2.57808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, 1124 in decreasing order.\nAnswer: 1124, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -101 + 3 + (-267072)\/(-2496)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, w: 1}. Give prob of sequence wee.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -q + 17 + 129, v - 540 = -4*q. What are the prime factors of q?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*1)\/(-1)*-1*(10\/(-5))\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 (base 10) in base 13?\nAnswer: 14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d. Let z = -83 + 82. Let f be 1*(4 + z + 4). Determine j(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 0)\/(((-20)\/130)\/(126\/(-234))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) -8 (c) 9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 4:06 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/9*(-11 + 2)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*p**5*z - 2*p**5 - 2026*p**3 - 888*p**2*z - p**2 + 2*p*z + 2*z wrt p.\nAnswer: -300*p**2*z - 120*p**2 - 12156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 680 divided by -2.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27, 21, 11, -3, -21?\n\"Answer: -2*r**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -35*f**2 - 26*f. Let r(l) = -17*l**2 - 13*l. Let n(d) = -9*r(d) + 4*z(d). Find the second derivative of n(i) wrt i.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1620 - 1618. Let j = 3.05 - 3. What is the second smallest value in b, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/5 + 14*h\/5 - 16\/5 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -162113092 - -4.88?\nAnswer: -162113087.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**4 + 1451788*r**3\/3 + 645242*r**2 + 483932*r\/3 = 0. Calculate r.\nAnswer: -1, -1\/3, 0, 241966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 - (-13 + -6)) + 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**6\/6 - 19*u**5\/5 - 57*u**4\/2 - 224*u**3\/3 - 64*u**2 - 219. Find l such that g(l) = 0.\nAnswer: -8, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1799 - -7501. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/37? (a) 0 (b) -3 (c) 4\/37 (d) -485\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280078 to the power of 1\/2, to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -452121 + 25?\nAnswer: -452085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -108*(3\/4)\/(-1). Let w be 6*(2\/((-44)\/(-671)) - 8). Calculate the highest common factor of w and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 117, 110, 101, 90, 77, 62?\n\"Answer: -z**2 - 4*z + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/7126190 and -19\/11401904?\nAnswer: 57009520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815 is divided by 203.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.783 + -0.483. Put 87, -2\/9, -1\/3, 3, p in descending order.\nAnswer: 87, 3, p, -2\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9047, -9059, -9085, -9131, -9203, -9307?\n\"Answer: -l**3 - l**2 - 2*l - 9043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4 - (-4 - -2)). Let p(w) = w. Let y(q) = -q. Let o(c) = v*p(c) - 2*y(c). Let t(m) = 2*m**2. Calculate o(t(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 16*r**4 - 4 + 5 + 2*r**3 - 1 in the form p*r + l*r**4 + m + q*r**2 + j*r**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4276.395 + -293.1?\nAnswer: 3983.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= -169\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4855 = 469*m - 464*m. Let z = 1051 + m. Is z a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -4445361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w + 20*w - 65 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 5*o - 683 + 686, 7*q + o = -29 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 - -12. Let l = i - 63. Suppose l*v - 4*b - 90 = 0, 4*b + 33 = -3*v + 168. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*r = 2*g + 24, -5*g = 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nol when three letters picked without replacement from {z: 1, l: 1, d: 1, e: 1, n: 1, o: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 0 + 0 - 12*y. Let c(t) be the second derivative of 11*t - 1\/3*t**3 + 0*t**2 + 0. Give c(a(h)).\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 368*h - 8548. Determine q(24).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 23*g**3 + 17*g**3 - 3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a century in years?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -469*f + 18302. Let b be a(39). Let x = -1735 - -2868. Calculate the greatest common divisor of x and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67505975 by 6.\nAnswer: 67505975\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 55170825\nAnswer: 22068330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55182 is divided by 3931.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 144 = 8*k. Calculate the remainder when (-3)\/(1 + (-24)\/23) is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2695 = -7*l - 833. Let m = -234 + l. Solve -v = 5*c - 22, -4*v + c + 3*c = m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbmbwwqq. What is prob of sequence wmr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107 and 1083482?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/80 and 13\/1920?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f + 2*f - 1 - f + f. Let j = 14 + -10. Determine v(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 + 754*q**2 - 20956*q - 268. Calculate a(-403).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 215, -6, -1, 1 in descending order.\nAnswer: 215, 4, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4698300 to the nearest 10000.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.021 - -8. Round y to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n**3 - 6625864*n**2 - 4417472*n + 123682944 = 0. Calculate n.\nAnswer: -14\/3, 4, 552156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a tonne in kilograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**3 + 9*k**2 - 6*k + 10. Let y be z(-3). Solve -5*t - y = 2*s, -18*s = -20*s - t - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10531404 (base 6) in base 16?\nAnswer: 4edfc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 24 = 3*j, -v + 4*j = -2*v + 3. Suppose -t + 19 = -q - 2*q, -3*q - 2*t = v. Let p = q - -5. Solve -b - 3*i = 16, p*b + i = 3*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*u + 14 = -2*u, -3*f = -3*u - 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**5\/6 - i**4\/8 + 7*i**2. Find the second derivative of y(a) wrt a.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 342 and 11?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/26 (b) -1\/24 (c) -3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 2. Let w(y) = -4*y - 2. Let u be w(a). Let v = u + 38. Calculate the highest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/(2\/(-12)). Let j(g) = -g**3 - 7*g**2 + 19*g + 18. Let x be j(-9). Let d = x + o. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*h + 100*h - 4576 = -58*h for h.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -9 (b) 0.3 (c) -44\/7 (d) 2\/23 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umpu. Give prob of picking 1 u and 1 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4542*s - 186206. What is b(41)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -1)\/((-2)\/2). Find the third derivative of -16*r**u + 33*r**2 + 26*r**3 + 21*r**2 wrt r.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/1237?\nAnswer: 3\/1237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/1)\/(-1))\/((-11)\/(440\/(-280)))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -54?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (36\/(-60))\/(2\/(-10)). Suppose -d*x - 3*x - 24 = 0. Find the common denominator of -15 and (-42)\/(-4)*x\/(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1345.88005 - 1346. Round t to three decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1001*-0.1.\nAnswer: -100.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)\/x*x*x*x\/x**2*x*x**(1\/2)*x*x**(-6\/11))\/((x**(-1))**34)**(6\/29) assuming x is positive.\nAnswer: x**(1269\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 46*d - 269. Determine a(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3318.2 * 2.\nAnswer: -6636.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.29 - -65.71. Let r = 387849.68078 + -387783.680780219. Let g = r - d. Round g to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -954225 by -954225.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 948.33 and -256.\nAnswer: -242772.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + q + 46 = 50, -2*g + q = -6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -736 + 737. Is u\/((28\/(-43084))\/(-7)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f7e74 (base 16) to base 11.\nAnswer: 118a783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 1045 (b) 1\/5 (c) 42 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (2 - 8 - ((-46 - -11) + 16)) + 6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -30*r - 1734. Let v be f(-58). Sort -2, 5, v, -10.\nAnswer: -10, -2, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 36349 and 1036005068.\nAnswer: 1036041417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3414, -3409, -3390, -3351, -3286?\n\"Answer: i**3 + i**2 - 5*i - 3411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318 + 512 = 112*v + 866 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1432, -2859, -4276, -5677, -7056, -8407, -9724, -11001?\n\"Answer: a**3 - a**2 - 1431*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 286333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2\/315 (b) -1 (c) 4 (d) -17 (e) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 6) in base 8?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (0 + -426)*(-90)\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 26*d + 3313 = -22*d, 0 = -3*d + 15. List the prime factors of o.\nAnswer: 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*h + 15*h - 14 + 14 to w*h + y and give w.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 325 = 215. Let c = y + -896\/5. Let -c + 14\/5*n**2 - 2*n = 0. What is n?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + j**2 + j + 37. Let y be p(0). Suppose -5*a + 47 = 4*v, -a + 2*v = 2*a - y. Which is bigger: a or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-5 - -117 - -4). Suppose -8 = 2*a, 5*a - 19 = 5*x - 184. Calculate the greatest common factor of x and f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by -5 - (0 + -4) - -13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(343)*-2)**2 + (sqrt(343)*-4)**2*-3.\nAnswer: -15089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**5\/360 - u**4\/144 - u**3\/18 - 7*u**2. Factor l(d).\nAnswer: (d - 2)*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**6\/15 + 937*t**5\/4 + 235*t**4\/2 + t**3\/6 + 2*t - 2744. Find the third derivative of u(b) wrt b.\nAnswer: -48*b + 28110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19655?\nAnswer: 5, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3 - 112*z**2 - 1450*z + 3364 = 0. What is z?\nAnswer: -29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + c - 36 = 0, -3*c + 8 = v - 4*c. Let a = 15 - v. Suppose 5*p + 1710 = a*p. What is p rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/272 and -61\/80.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1886153 divided by -6\nAnswer: 1886153\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 3*c**2 + 2*c - 4. Let g = 17 + -14. Let v be q(g). What is the third derivative of 2*n**3 - 2*n**2 + 4*n**2 - 5*n**3 - 3*n**v wrt n?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 8:09 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3. Let k(o) = 2*o**2 + 14*o - 11. Let m be k(-8). Let b(l) = 7*l**2 - 7*l**2 + l**3. Give m*b(h) - 3*n(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-36))\/(5\/90*-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 78950?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.79 + 0.21. Which is the smallest value? (a) 0.1 (b) g (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 72 - 68267*y + 29.\nAnswer: -68267*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114340987 is divided by 707.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 395 = -389 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -154?\nAnswer: -924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 + 2162*z**4 + 229*z**4 + 628*z - 105*z**3 + 3*z**3 + 102*z**3 wrt z?\nAnswer: 28692*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + 2 + sqrt(245) + (sqrt(245)*1)**2 + -3 - (3 + sqrt(245)*-1 - (3 + sqrt(245)*1 + sqrt(245)))*-3).\nAnswer: -56*sqrt(5) + 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 1256. Let g(a) = -3*a**2 + 256*a + 233*a - 489*a. Calculate g(u(j)).\nAnswer: -3*j**2 - 7536*j - 4732608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 7357 = -2813. What are the prime factors of p?\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -26*r + 28*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44 - (3 + -3)) + -3 - 14.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2301034402 (base 5) to base 4.\nAnswer: 103130030203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 1905196247?\nAnswer: -1905196242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -26 (b) -0.6 (c) 1\/8 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1218882308 and 0.2.\nAnswer: -1218882307.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**4\/12 - s**3\/6 + s**2\/2 - 174*s. Let r(t) = 2*t**2 + t + 1. Determine -r(f) + v(f).\nAnswer: -3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*w - 5368, 0 = -2*q + 46*w - 45*w + 5353. Is q a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87052 + -87077. Let p = -671\/8 - -84. Which is the third smallest value? (a) 2\/5 (b) p (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 10. Let g be j(-6). Suppose 5*m = g*m - 2. What is the units digit of 1\/(m*(-1)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28 + a89553?\nAnswer: a8957b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**5\/11 - 10*j**4 + 1250*j**3\/11 - 3250*j**2\/11 = 0.\nAnswer: -65, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-154)\/70 + 2\/10. List the prime factors of (-5)\/(w\/10 + 63\/490).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*j**3 - 3*j**3 + 0*j**3 + (-6 + 4 + 3)*(18*j - 18*j - 165*j**3).\nAnswer: -160*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -8*q + 3*a + 56, 4*q + a = 72. Suppose -2*u = -5 + 19. Let f(t) = t**3 + 8*t**2 + 4*t + 10. Calculate the remainder when f(u) is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, f: 1, d: 4}. Give prob of picking 4 d.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 10*r**2. Let y(h) be the third derivative of h**5\/60 - 97*h**2. Determine -l(q) + 2*y(q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -0*s + 92*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -0.8. Suppose 4*v - 12 = -4. Let y = v + -3. Which is the third biggest value? (a) 3 (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-1) + 551\/740. Let v = -1\/185 - d. Let w = -0.01 + 3.01. Sort 0.1, w, v.\nAnswer: v, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*(-188562)\/(-2857)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0 + 3*n - 1\/2*n**3 + 0*n**2. Let q(u) = u. What is b(l) + 2*q(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635453 is divided by 8662?\nAnswer: 3127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2700 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 o = -0.07 - 0.29. Let a = 0.06 + o. Let j = 0.7 + a. Sort 2\/7, j, -2\/3 in descending order.\nAnswer: j, 2\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o - 5*o + 3*o)*(5*o + o - 4*o) + 4*o**2 - 3*o**2 - 3*o**2)*(2*o + 6*o - 4*o) + 35 + 52*o**3 - 35.\nAnswer: 36*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -807*b + 203*b + 936 + 203*b + 199*b + 205*b.\nAnswer: 3*b + 936","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9 - x + 1 + 0. Let g be z(6). Suppose 5*t - 35 = 2*d, g*t + 0*t - 2*d = 30. Sort -0.1, -2\/7, t in increasing order.\nAnswer: -2\/7, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 10\/7 (b) -1 (c) -0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/k**(2\/5))\/k)**(3\/4)*(k\/((k\/k**(1\/4))\/k))**15 assuming k is positive.\nAnswer: k**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -3199?\nAnswer: -3199.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -14*i - 188. Let q be x(21). Let m = 497 + q. Solve 9*d = 4*d + m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 4*g + 7. Let w be i(4). Suppose 98 = -5*o + w*o. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 5 - 4. Let j(b) = b**2 - 6*b. Let f be j(6). What is the second smallest value in f, n, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-6) - 5830\/(-15) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 5*g - 281 = 0, -158 = 82918*f - 82928*f + 3*g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 119, 410, 973, 1898, 3275, 5194, 7745?\nAnswer: 11018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b - 5*b + 4*b)*(-131 + 127 + 40*b**2 - b**3 + 19*b**2) - b**4 + b**4 + b**4 in the form u*b**3 + t*b**2 + i*b**4 + j*b + l and give u.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**4\/3 + 243092*q**3\/3 + 486196*q**2\/3 + 243100*q\/3 = 0. What is q?\nAnswer: -1, 0, 60775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 368 = 2*d + 3*o, d = 2*o + 184. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65170 and 10754.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35317a - 0?\nAnswer: -35317a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/2 + 8 + 127 + (-123 - 8). Suppose 0 = 4*k - 0 + 20. Put 3, h, k in increasing order.\nAnswer: k, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2056 is divided by 1855.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-6 + 3 + 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2433563 (base 7) to base 13.\nAnswer: ab76a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**3*z**3 + s**2*z**3 - 26*s**2*z - 4*s*z - 4*z**3 + 3*z**2 wrt s.\nAnswer: -12*s*z**3 + 2*z**3 - 52*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h = -4. Let r be (-4)\/(-14) + (-54)\/(-7). Let z = -5 + r. Solve -p + 3*i - 1 = 0, p - 2*i + h = -z*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 + 63. Let d(t) be the second derivative of -k*t - 1\/8*t**2 - 1\/4*t**3 + 0 - 3\/16*t**4. Factor d(m).\nAnswer: -(3*m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/((-168)\/9))\/(2\/(-4))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 9 - 186\/(-18). Let u = -3.91 + -0.09. Let q = 3 + u. Which is the nearest to n? (a) 3 (b) -4\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01700239 rounded to 5 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrns when four letters picked without replacement from {r: 5, n: 1, s: 7}.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -79976365.521 and -36.\nAnswer: -79976401.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4*q - 9 - 6, -j + 2*q - 5 = 0. Suppose 54*f - 185*f + 4850 = 63*f. Sort -3, -4, j, f in decreasing order.\nAnswer: f, -3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 17. Suppose 0 = -4*b + 5*b - t. Solve 0 = b*o + 1 + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -5 - -1 - 580000. What is f rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*f - h + 22, 4*f - 12 = -5*h. Let a be -3 + 0\/(-3) - -45. Let r = a + f. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3105341 rounded to three decimal places?\nAnswer: 6.311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1385391 = 32750*a + 1758609 for a.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*d + 2516, 2*d = 5*d + 4*m - 1894. Let c = 1261 - d. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -2195636378.\nAnswer: -2195636378.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = 4*g, g + 4*w = 19 - 27. Put -6, 2, g in descending order.\nAnswer: 2, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1311680 is divided by 40989?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -3*g**2 + 11*g + 25499. Let y(h) = 1. Let j(b) = 4*b - 1. Let p(t) = -j(t) + 6*y(t). Give -5*k(x) + 8*p(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7151*d. Let o(p) = 6*p. Calculate o(i(f)).\nAnswer: 42906*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-1))\/(0 - 2). Let s be 4\/(-18) + 480\/(-27). Let z(a) = -a**3 - 19*a**2 - 17*a + 26. Let p be z(s). Solve -p*q = -m*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) 22 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**7\/180 - 7*b**5\/30 - 7*b**4\/12 + 18*b. Let j(s) be the third derivative of m(s). What is the derivative of j(i) wrt i?\nAnswer: 28*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 4) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 12987.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 683320811 to the power of 1\/3, to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(637) - (-1 + sqrt(468)))*6 + -1 + 3)**2.\nAnswer: -2592*sqrt(13) + 341236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 542 in 1, 0.2, 3, -3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1090.181 days to minutes.\nAnswer: 1569860.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -11*o + 4. Suppose 4*n + 64 = 8*n. Suppose -5*c = -n + 41. List the prime factors of m(c).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k = 19*k + 3*y - 9, -10 = -2*y. Let n(w) = -6*w**2 + 2*w - 1. Give n(k).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2165511.\nAnswer: 3, 17, 42461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 921472423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2140\/30)\/((-2)\/(-3)).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l. Let q be g(4). Let b(m) = 6*m**2 - 4*m - 6. Let y be b(-4). Let h = y + -34. Calculate the greatest common factor of q and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 5) + (1 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3) + (-2 - 6 - -19) - 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -8. Sort a, -3, -1 in descending order.\nAnswer: a, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (89 + 1 + (-11 - 0) + (893 - 888))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -11*v + 187. Let u(h) = 7*h - 125. Let f(l) = -5*n(l) - 8*u(l). Let r(g) be the first derivative of 5*g**2\/2 + 1631. Calculate f(r(y)).\nAnswer: -5*y + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 divided by 342?\nAnswer: 151\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(27)).\nAnswer: -3*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 41*i + 294. Calculate t(-13).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*l = 7*i + 276*l + 21, -l - 1 = -4*i. Let n = 6 + -4. Solve 0*h + 5*u - 5 = 5*h, i = -n*u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 47*z**2 - 206*z + 222. Let k be v(42). What is the highest common factor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262797 greater than or equal to 262797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(1\/2))**(1\/34)*k*k\/k**(-3\/14)*k*k**(-3\/2))**(-1\/50) assuming k is positive.\nAnswer: k**(-823\/23800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvsvvssvvvv. What is prob of sequence ss?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 4. Suppose 3*n = -2*n - 10, 16 = 2*i - p*n. Does i = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2851 is divided by 942.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, -4, 2, 118 in decreasing order.\nAnswer: 118, 11, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q**3 + 18 + 112*q**3 - 18 + q.\nAnswer: 128*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*o**2*r**3 - 25*o**2*r**2 - 41938*o**2 - 18322*o*r**3 - r**3 wrt r?\nAnswer: -60*o**2 - 109932*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -4\/15*o**3 + 1\/10*o**4 + 1\/5*o**2 + 13 + 0*o. Factor f(a).\nAnswer: 2*a*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 7*a**2 + 7*a - 10. Calculate d(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 1489*i**7\/105 - 5503*i**4\/12 + 2*i**2 + 631*i. What is the second derivative of r(x) wrt x?\nAnswer: 35736*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1845671668?\nAnswer: 2, 199, 1153, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 2*k + 14 = -0, -6*m - 1500 + 753 = 5*k - 691 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 508 - 303. What are the prime factors of m?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7728 by -168.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n + 4. Let q(r) = 15*r + 15. What is -6*q(a) + 22*y(a)?\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -23. Suppose -5*y + l*y + 50 = 0. Which is the second biggest value? (a) y (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.1 + 3.5. Sort -0.2, 0, g in decreasing order.\nAnswer: g, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -6) + (-5665)\/927\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -1 + 131 + -2 + -110?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 23401)\/(6 + (-23352)\/3894). Suppose -s - 3*a = n, 30375796 = 2*s - 6*s - 2*a. Let v = s - -10823949. What is v rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 89 + 239 = 0. Let v = h + 34. Does v = 18\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3786695 is divided by 4963.\nAnswer: 4889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1388, -5524, -12420, -22088, -34540, -49788, -67844?\n\"Answer: -2*l**3 - 1368*l**2 - 18*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*w - 11 + 7 - 19 + 8*w wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 19, 39, 59, 79, 99?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*(sqrt(175) + 2).\nAnswer: 10 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -730235*o. Let j(p) = -p**2. Give j(g(u)).\nAnswer: -533243155225*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, e: 1, w: 1, h: 3, t: 2}. What is prob of sequence etf?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 2:52 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*o - 266. Is o a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*g - 21*g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 1651*b - 25 - 62 + 1650*b - 70 in the form n*b + w and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y = -40. Let r(a) = -2*a - 14. What are the prime factors of r(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1367072 = 2*v + 261053, v - 2713572 = -5*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*((-20)\/4 - 2). Let d(j) be the first derivative of 16*j + q + 6*j**3 + j**3 - 5*j**3. What is the first derivative of d(r) wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 26, -60812, -3 in decreasing order.\nAnswer: 26, 4, -3, -60812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4007 + 244*s - 76*s - 84*s + 659*s**2 - 82*s with respect to s.\nAnswer: 1318*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54941 equal to -54944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32181 - 16952. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5424260 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10ea (base 15) to base 6\nAnswer: 24351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179058 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151212, -604851, -1360914, -2419401, -3780312, -5443647?\nAnswer: -7409406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 22*p - 783. Let i(x) = 5*x + 3. Calculate -4*i(k) + m(k).\nAnswer: 2*k - 795","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -357321524*0.4\nAnswer: -142928609.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -11. Let n(t) = -t**2 - 12*t - 20. Let v be n(-6). What is the second derivative of -v*o + f*o**2 + 9*o + 6*o wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddadabddbddb. Give prob of sequence da.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.2. Let l = 142949.96 - 142950. Which is the closest to y? (a) 0.5 (b) -13 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7720 and 92490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -76*r + 256. What is t(3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3240675?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/237 and -55\/9?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 13. Suppose 0 = o + 5, x + 2*o = -b. Find the second derivative of 7*h + 0*h - x*h + 6*h**2 wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267722?\nAnswer: 2, 7, 13, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5\/3 (b) 18 (c) -0.3 (d) 3\/5 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 59.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 3*g**2 - 3*g - 5. Let x be a(4). Suppose 164 - 28 = -13*w - 21*w. Sort x, 11, w in decreasing order.\nAnswer: 11, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3875826081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 76 = 712. Let v = 57 + l. Solve 2*n + 3*p - 7 = 0, 0*n = v*n - 5*p + 19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.3*-19.\nAnswer: -442.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4769*l + 2314*l - 4429*l - 1618*l.\nAnswer: -8502*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 i when four letters picked without replacement from hhhhhhhhhiihhhi.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 783422031 + -783422354.99998496. Let y = c + 324. What is y rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -241 less than -241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(650)*-1*-2 - sqrt(650)))\/(sqrt(72) - -5*sqrt(72)*2).\nAnswer: -5*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (4*2*sqrt(76) - sqrt(76))) + (sqrt(76) - sqrt(76)*1)*4)\/(4*6*sqrt(576) - sqrt(576)).\nAnswer: -sqrt(19)\/46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 10, 8532 = -0*c + 3*c + 3*m. What are the prime factors of c?\nAnswer: 2, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1615.01294 - -1615. What is w rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24062)\/3021 + (7 - 47)\/(-5)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -21. Suppose -4*h - o*a = -0*a + 8, 0 = 3*h + a - 5. Solve -1 - h = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -331 + 349. Calculate the remainder when 11802 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-470)\/(-70) + 9 - (-6)\/21?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3) - 0) + (-788)\/(-6). Suppose -16*k = 51 - m. Suppose 376 + 30*q**3 - 376 - 5*q**k - 5*q**4 = 0. Calculate q.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2586868 to the nearest 10000.\nAnswer: 2590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160582 is divided by 8913?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -20*l + 16*l + 13*l. Suppose 0 = -r + 6*r - 10. What is the tens digit of q(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 9 + (22 - (14 + -5))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 43335.61 to the nearest ten.\nAnswer: 43340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, w: 2, g: 4, i: 2}. Give prob of picking 1 i and 2 c.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150, -17, 204, 513?\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 9*d - 310. Let h be s(34). Let y(w) be the first derivative of w**4\/4 + 5*w**3\/3 + 5*w**2\/2 + w - 4. Calculate y(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (45\/(-27))\/((10\/(-24))\/5). Suppose l - 3*t = 54, -5*l + 5*t + 455 = 165. Calculate the greatest common divisor of z and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 609*q + 600*q - 2405*q + 1 + 593*q + 0 + 610*q.\nAnswer: 7*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -27a1?\nAnswer: 2799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*q + 176 = 0, 2*o - 119 = -5*q - 31. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -157 + 185. Let l(u) = -4*u. Calculate the remainder when i is divided by l(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 34*u**2 + 34*u - 29. Calculate the lowest common multiple of 5 and t(33).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yiyi when four letters picked without replacement from iiiiiiiiyiiiiiiyii.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27550 - -28040. Calculate the greatest common divisor of h and 10878.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -11\/10 (b) 0.11 (c) 3\/7 (d) -2\/17 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2a6c9b (base 16) to base 15\nAnswer: 39dbe5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/7, -260, -4\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + (5 - (12 + -12))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 958574.\nAnswer: -2875722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1174\/5 + 234. Let d = -0.6 + 0.9. Let q = d - 0.1. Which is the nearest to q? (a) -1 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -912 + 2148. Suppose 6*g = 2*g + c. Let s = g + -122. Calculate the highest common divisor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {t: 5, y: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6907549 is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5\/7 - 79606*v**4\/7 - 1024705188*v**3\/7 - 3823696153544*v**2\/7 + 5702218929876848*v\/7 = 0.\nAnswer: -13642, 0, 1123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20398026?\nAnswer: 2, 3, 11, 37, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*d**3*n**3 - 6*b*d*n**2 - 2*b*d*n + 972*b*n**3 + 25*d**3*n wrt n.\nAnswer: 6*b*d**3 + 5832*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Let o be ((-2)\/(1 + -3))\/((-18)\/90). Sort 5, r, o in descending order.\nAnswer: 5, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2635 + -2627. Calculate the lowest common multiple of q and 38.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140433.\nAnswer: 3, 46811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*g**3 - 1241*g**2 - 1700*g**2 - 100*g**3 - 4257*g**2.\nAnswer: 2*g**3 - 7198*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4714527 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/17, -10, -5, 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21281 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/5 and (3 - (-91)\/(-6)) + 0.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 1 + 4)*(336*s + 303*s - 680*s - 61) to l*s + c and give c.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 622291?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 91*k. Let x(a) = 607506*a. Determine v(x(y)).\nAnswer: 55283046*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + c)*(-3 + 3 + 2) - 1849*c + 36*c - 6 + 5 in the form y + s*c and give s.\nAnswer: -1811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 165 - 158. Is -32 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - q + (2*q - q + 0*q)*(0 + 1 - 2) + 3*q - 2*q - 4*q)*(1 + 0 + 0)*(-650 - 773 + 451) as m + o*q and give o.\nAnswer: 4860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47830926 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*w - 48 = 0, 2*w + 44 = 4*k + 10. Calculate the greatest common factor of 77 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 + 2*q**4 - 5*q**4)*(162*q + 222*q - 57*q).\nAnswer: -654*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12473.4 and 0.2.\nAnswer: 2494.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-2))\/((-42)\/36*-3). Are o and -0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1220325 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(700) - (0 + sqrt(7) + 3))**2.\nAnswer: 66*sqrt(7) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20120021320 (base 4) to base 14\nAnswer: -412476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34206 - 1645. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/770 and 1\/2695?\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*q, 0 = -4*q - 9*l + 11*l + 22. Let n be 0\/q + (9 - 3). Solve 2*m = -n + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882403\/5 at least 776481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3231.371 millilitres to litres.\nAnswer: 3.231371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 5) + (-136)\/36 + 8. Does -261\/7 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5 - 878*d**4 + 95328*d**3 - 3058560*d**2.\nAnswer: 2*d**2*(d - 295)*(d - 72)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15740492 by 2.\nAnswer: -7870246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/25 of a microsecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 + 5*u - 10. Let i be m(3). Differentiate 53*f + i*f - 157*f - 33*f**3 + 52*f - 58 with respect to f.\nAnswer: -99*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*u - 90, 5*a + u + 0*u - 127 = 0. Suppose -5*y + 100 = a. Solve 6*f = 3*f + y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*y + 44. Let b = 18 - y. Let x(l) = l**2 - 7*l - 3. What is x(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -58. Is 0 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -946, -3101, -6698, -11743, -18242, -26201?\nAnswer: -35626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -284671\/110 - -2588. Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {g: 9, n: 6, b: 4}.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, 1, -1, 2, -246 in ascending order.\nAnswer: -246, -1, 1, 2, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.29 - 23.71. Let h = r + 23. Let t = -1\/219 + -431\/1533. What is the closest to h in 1, -2\/17, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxvdr. What is prob of sequence xdrx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*i**3 - 85*i**2 + 124753*i wrt i.\nAnswer: -294*i - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 9*y - 10. Suppose -3*b = 2*u - 23, -3*b = 2*b - 15. Let z be (-3 + 5)\/(2\/u). Let p be j(z). Solve -4*l = p, -4*s + 3*l = -26 + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 + 1 - 5*m**2 + 10*m + 3*m**2. Let c be l(-7). Solve -4*u - c + 1 = -4*s, -3*u = s + 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-3))\/((-4)\/(-12)). Put 0.3, s, -5, -0.06 in increasing order.\nAnswer: -5, -0.06, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -k - 0*k. Let p = 7 - k. Let b be (-3)\/5 - (-34)\/(-10). Is b at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d**3 + 7*d. Let x(k) = k**3 + k. Let q(h) = -2*h**2 + 5*h - 3. Let z be q(3). Let j(b) = z*x(b) + c(b). What is j(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.27 + -0.93. Let p = o - -9.199814. Round p to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 533*n**2 - 3264*n - 7496. What is o(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1\/(-1) - (-47 - -49)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21642, -37593, -64186, -101427, -149322, -207877, -277098, -356991?\n\"Answer: -u**3 - 5315*u**2 + u - 16327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2498?\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 582*l**4 + 6*l**2 - 517*l - 12. Let n(c) = -1747*c**4 - 17*c**2 + 1548*c + 34. Let i(o) = 17*j(o) + 6*n(o). Find the second derivative of i(g) wrt g.\nAnswer: -7056*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 6476d?\nAnswer: -6476d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1880 is divided by 103?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*(-1 + sqrt(15)\/sqrt(3) + ((sqrt(35)*2 + sqrt(35))\/sqrt(7) - sqrt(5))))**2.\nAnswer: -150*sqrt(5) + 1150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5158 - -2512. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000190010615 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -219\/48683 or 1?\nAnswer: -219\/48683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-10)*(-8)\/6. Let v = 0 - 1. Is v < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 34*h - 212. Let y(i) = 19*i - 105. What is -5*o(v) + 9*y(v)?\nAnswer: v + 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 57*a + 4. Let c(r) = 229*r + 17. What is 6*c(f) - 26*x(f)?\nAnswer: -108*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -125 and 69940.56.\nAnswer: 69815.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 4, b: 15}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036d5 (base 14) in base 5?\nAnswer: 234211433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 120*m - 124*m - 26, -20 = 5*t + 2*m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66 + -13?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 7. Let t be y(-7). Suppose 0 = m - 4*u - 57, t*m + m + 3*u = 22. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/15 + 430\/25. Solve 4*q + 20 = -3*b, -5*q + 5*b - 8 = g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21582*l**4 - 159*l**2 - 23*l wrt l.\nAnswer: 517968*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55228347*r**5 + 10*r**2 - 8*r + 7738.\nAnswer: -3313700820*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 10*m**2 - 20*m - 150. Let g(a) = a**2 + 2. Let i(q) = -5*g(q) + s(q). Factor i(v).\nAnswer: 5*(v - 8)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47\/9 - -85\/18. Which is the second smallest value? (a) -3\/8 (b) -785 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286596116*n**4 - 286596124*n**3 - 286596108*n**2 + 286596124*n - 8 = 0 for n.\nAnswer: -1, 2\/71649029, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-13 + 17*d + 13)*(-2 + 4 + 0) - 3*d + 2*d + 2*d)*(5 - 5 - d) to q*d + f + p*d**2 and give p.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3 + (-26)\/(-6). Suppose 6*w - 10 = w. Let u(f) = f**w - 1 + 1 + f - 6*f. Give u(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02401 rounded to 4 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 122747461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2\/3 - 20392*r + 118644740\/3.\nAnswer: 4*(r - 13015)*(r - 2279)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 6*o + 7. Let r be b(7). Suppose 3*n = 5*y - 208, 92 = 2*y - r*n + n. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -887065 less than -15080106\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**4 + 2*x - 2*x)*(0 - 3 - 13) to a*x + u + s*x**3 + d*x**4 + p*x**2 and give d.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-43)\/6 + 7)*-3. What is the third smallest value in -0.2, 2, i, -0.02?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 4*g**2 + 3*g. Let k(i) = 2*i**3 - 7*i**2 - 5*i. Let q(b) = b**3 - 5*b**2 + 3. Suppose -3*z = -0*z - 15. Let l be q(z). Give l*k(c) + 5*d(c).\nAnswer: c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 + 2 - 1)*(-4*o + 4*o + 5*o**2)*(-10*o + 10*o + 18*o) to x*o**2 + t*o**3 + u + j*o and give t.\nAnswer: 2070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2107757.\nAnswer: 53, 39769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h - 90 = -v, 188 = 2*v - 4*h. Let w = 1 - -21. What is the remainder when v is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (2 + -4 + -2))\/2. Let h = -3 + m. Let z be h*-2*((-15)\/(-12) - 1). Which is smaller: 14 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.46 - -1.46. Let z = 2.1 - 2. Let k = -55\/204 + 1\/51. Which is the third biggest value? (a) w (b) k (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3800535 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.83766375 to one decimal place.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**4\/12 + g**3 + 3*g**2 + 19*g. Calculate w(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*d + 2*q = 581*d - 17, 0 = 4*d - 7*q - 46 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45910823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.9 (b) 7 (c) 3\/2 (d) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.052 - -1.052. Which is the nearest to z? (a) 0.1 (b) 1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*m - 8. Let z(q) = 0*q - 7 - m*q + 3*q + 3. Let g be 3 - (0 + 2 + 1). What is z(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzy when three letters picked without replacement from {z: 2, x: 1, t: 8, n: 1, i: 2, y: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnwnnnnnw. What is prob of sequence nn?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 1\/4*i**4 + 1\/6*i**3 + 53*i + 0 - i**2. Let b(c) = -4*c**2 - c + 2. Determine -2*b(w) - 3*h(w).\nAnswer: -w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -949 + 3897\/4. Find the common denominator of 87\/440 and y.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1021211101 (base 3) to base 5\nAnswer: 1303030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 769917684 at most 769917685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*x + 62. 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 z(j) = -j**3 - 15*j**2 + 2*j + 40. Let d be z(-15). Suppose 0*k + 980 = d*k. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2)*r**(-1\/11))\/(r*r**(-1\/4)*r*r*r*r*r\/((r\/(r**8\/r))\/r)*r) assuming r is positive.\nAnswer: r**(-477\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2879382 is divided by 14919?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**5\/7 - 44*i**4\/7 + 270*i**3\/7 - 188*i**2\/7 - 1240*i\/7 + 1200\/7 = 0?\nAnswer: -2, 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -313*m**8\/336 + 2*m**7\/105 + m**5\/30 - 146*m**4\/3 - m**3\/3 - 37*m**2 + 12. Find the third derivative of v(w) wrt w.\nAnswer: -18780*w**2 + 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1431 and 837?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + (-6 - -3 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106370, -106387, -106404, -106421, -106438?\nAnswer: -106455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -201 + 197. Is (-84)\/(-63)*(-882)\/t a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8 = w, -5*j - 1 = w - 3*w. Suppose -k - f = 2*k - 14, 5*f + 2 = w*k. Solve 4*u + n - k = 7, -2*u - 2 = -2*n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61760*i**3*w + 7*i**2*w**3 + 15390*i*w**3 - 2*i*w wrt i?\nAnswer: 370560*i*w + 14*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 10. Let v be k(-8). Let b = -4 - -8. What is the second derivative of v*c - 5*c**b + 0*c**4 + 2*c**4 wrt c?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 294 and 42?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 12961?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3660 or 3659?\nAnswer: 3659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -63.0741 * 0.1\nAnswer: -6.30741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/8 + -1\/2. Let j be ((-1)\/(-3))\/(10\/18). Let g = 103 + -102.9. What is the second biggest value in g, j, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 8e6e34d?\nAnswer: -8e6e34e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - t - 1. Suppose -5*g = -g + 8. Let c(o) be the third derivative of -o**5\/60 + o**3\/3 + o**2 + 41*o. Give g*s(y) - c(y).\nAnswer: -y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -43*b - 83. Let v be g(-2). Solve 0 = 4*p + 5*y, v*y + 3 = -0*p - 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 1:49 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - ((-4 - 2) + 6) - 7) + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72675\/2223 + 8\/26)\/(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6881741625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 114115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 + 3 - 2*u - 1 + 388*u**3 - 370*u**3 to the form a*u + f*u**4 + l*u**2 + w*u**3 + p and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 - 71*i**2 - 509*i - 22981. Calculate d(-37).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1909*d + 16740 = -1338*d - 1191*d for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -528581 - 273?\nAnswer: -528864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 - 29*h. Let a(u) = -u**2 - 39*u - 105. Let q be a(-35). Let w(t) = 37*t - 70*t + q*t. Give w(p(m)).\nAnswer: -4*m**2 - 58*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 5*u**6\/6 + 3*u**5 - 5*u**4\/4 - 55*u**3\/3 - 30*u**2 - 20*u + 122. Solve i(j) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2514202 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 270 + -40. Let r = v + -39. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1045 and 129299104.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23029612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4146009493.\nAnswer: 227, 461, 39619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (1 - -12 - 6 - (18 + -4))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -426*b + 88138. Calculate z(207).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50761.3 millilitres in litres?\nAnswer: 50.7613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 938, 1874, 2810, 3746?\nAnswer: 4682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22192 by 38.\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 675688817.\nAnswer: -675688816.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1224 + -5?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78451078, -78451076, -78451074, -78451072, -78451070, -78451068?\nAnswer: -78451066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 674974*n*q**3 + 4*n*q**2 - 503099*n*q + 232*q**3 - 6*q wrt q?\nAnswer: 4049844*n + 1392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45961932*s + 22981028*s + 22980905*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 6cb3114?\nAnswer: 6cb310d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 7*b**2 - 9*b + 11. Let j be d(8). Suppose 0 = -4*c + 4. Solve s = c - j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -g + 20. What is the remainder when g is divided by (-2)\/6 + 20\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 796*f - 803*f - 7. Let p be (-36)\/(-96) + (3\/(-24))\/f. Factor -p - 3\/2*b - 3\/2*b**2 - 1\/2*b**3.\nAnswer: -(b + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, u: 2, c: 1, f: 1, d: 5}. What is prob of sequence udc?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/42)\/((-27)\/(-4))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s = -5*o + 31*s - 179, -o + s - 177 + 156 = 0 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*h - 17*h + 91040 = -149408. Is 221 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98731573.\nAnswer: 29, 3404537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*a - 816, 2*a - t = 293 + 246. List the prime factors of a.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-828)\/(-138)*(-4)\/((-280)\/21)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f + 3*f - f. Let w(o) be the second derivative of -o**3\/3 - 2*o. Calculate u(w(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1307 - 1309. What is the smallest value in 0.4, m, 11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 4*d - 1335509, 4*v + 1144*d - 1780689 = 1139*d. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.392 and -41.7841?\nAnswer: 16.3793672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 78, 86, 94, 102, 110, 118?\n\"Answer: 8*i + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4300631063 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40088.0092 + 40098. Let w = 10 - r. What is w rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*1)\/sqrt(8))\/((sqrt(144)\/sqrt(4))\/sqrt(4)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(990\/(-605))\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -392 divided by -392\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -12753, 304, -1.1 in descending order.\nAnswer: 304, -1.1, -12753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**2\/y)\/y*y\/((y**0*y)\/y)*((y\/((y*y**(-1\/9)\/y*y)\/y))\/y)\/y**(-2))**(-3\/13) assuming y is positive.\nAnswer: y**(-37\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 2\/15, 5, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/(-8) - 2\/(-8)) + 6. Let t(n) = -2*n**3 + 3*n**2 - 6*n + 3. Let w(d) = 3*d**3 - 5*d**2 + 7*d - 4. Let k(r) = 4*t(r) + 3*w(r). Give k(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 3)\/((-4)\/(-506)). Suppose 0 = -2*w - 4*t + 740, 3*w - t - 1165 = 4*t. Let b = i + w. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 8*y + 7. Let j be s(7). Suppose 3*i - 2*a + j = 5, 0 = 4*i - 4*a. Solve -i = l - g - 14, 3*g - 1 = -4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3969661.45 to the nearest 100000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16175, -23257, -30341, -37427, -44515, -51605?\nAnswer: -58697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 100 - 118, -3*z = -2*v + 122. What is the remainder when 205 is divided by v?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-810)\/(-100) + -8)\/(((-36)\/(-105))\/6)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*o + 5 = -5, -4 = 3*q + 2*o. Suppose -5*z - 2*a - 74 = q, -5*z + 3*a + 2*a = 60. Let x = 9 - z. What is the remainder when x is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 256 and 320.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + m**2 + 3*m + 24. Let v be t(0). Calculate the highest common divisor of 376 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/194 and -21\/90598.\nAnswer: 90598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -177131?\nAnswer: 177128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**5\/10 + 7*c**4\/8 + 3*c**3 + 5*c**2 + 4*c - 515. Factor f(j).\nAnswer: (j + 1)*(j + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 283032*u + 11314880.\nAnswer: 4*(u + 40)*(u + 70718)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62608 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 5*d - 5. Let c be j(4). Let w be 110 + 0\/(-2 + c). Suppose x + x = w. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -6\/13, 8, 3 in increasing order.\nAnswer: -1.1, -6\/13, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000135335073 rounded to six dps?\nAnswer: -0.000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 48 = -0*x + 4*l, -3*x + 12 = -5*l. Suppose -3*n + x = 0, -2*t = t - 3*n. Put 1, t, 2 in decreasing order.\nAnswer: t, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 6. Let b(u) = u + 3. Let q(j) = j**3 - 8*j**2 - 6*j + 46. Let r be q(8). Give r*x(l) + 5*b(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + 1)*-4)**2 + ((sqrt(1573) + 2*sqrt(1573))*-4 - sqrt(1573))**2.\nAnswer: 224*sqrt(13) + 276045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 323.\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.382 + -0.482. What is the biggest value in t, 4\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*u - 746*u = -144*u - 3900. Solve y + u = 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 567112 and 2665?\nAnswer: 2835560","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -34*z**3 - 5*z**2 - 76*z - 71. Give j(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1102668825*a**3*z + 5*a**2 - 107435372*a*z wrt a.\nAnswer: 6616012950*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(8\/9)*z*((z**20*z)\/z*z)\/z)**(-16) assuming z is positive.\nAnswer: z**(-3296\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*2\/40)\/(33\/(-44))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w + w + 3*w - w + w + w + (-1 + 6 - 3)*(-w + 2*w - 3*w) + 1 - 1 + w + 2*w - w - 5*w to p + q*w and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 59, -4, -1\/3, -0.07?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**2 - z + 1. Let i be j(1). Let y(f) = f**2 - 4. Let h = 640 - 644. Let a(v) = -v**2 + 5. What is h*a(r) + i*y(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 917 - 27185873.\nAnswer: -27184956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 13590*f - 13590*f + 323*f**2 to the form y*f + c + n*f**2 and give n.\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/(-38)*(-3)\/((-6)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*b = -90. Let k be 3 - (-7)\/(21\/72). Calculate the greatest common divisor of b and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3402170*j - 3402170*j - 4 - 527*j**3.\nAnswer: -527*j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -12. Let d be i\/18 + (-129)\/(-27). Let p be 2 - (-9)\/(-18)*0\/2. Solve -1 = 2*j - d*y + 8*y, -p*j - 6 = -2*y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*s**3\/3 + 23662*s**2\/3 - 218660*s\/3 + 800 = 0.\nAnswer: 1\/91, 10, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.124507 times 1112?\nAnswer: 138.451784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3\/21 + 26*w**2\/21 + 16*w\/3 + 160\/21 = 0.\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 o, and 1 s when three letters picked without replacement from {o: 5, b: 3, d: 1, z: 1, f: 1, s: 1}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/490 and 52\/38465?\nAnswer: 76930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2 - 1 + 0 + 3 + (1 + 0 - 3)*(-2 - 1 + 2))*(-70 - z - 152 - 364).\nAnswer: -6*z - 3516","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.211924 + -0.22153. Round c to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**4\/12 + t**3\/2 - t**2\/2 + 4*t. Let b be w(-6). Let c = b - 11. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -36*x - 1950. Let p(r) = 18*r**2 + 1. Let j be p(3). Let b = x + j. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/18*((-1827)\/98)\/29. What is f in -2\/7*f**2 - 2\/7*f + s + 2\/7*f**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**7)**11*a\/a**(-2\/13)*a**(5\/9))**(-45) assuming a is positive.\nAnswer: a**(-46045\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 7 = 2*m, 4*m + 22 = s + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32775)\/(-228) - 10\/(-8). Solve -135*u = -y*u + 40 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d3a0 + -241?\nAnswer: 3d15e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -48*r - 48*r - 35*r - 2 + 118*r + 0. Let n(z) = -2*z - 15. Give n(h(w)).\nAnswer: 26*w - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2) - (-54)\/12. Suppose c - b = -0*c, -5*c + 100 = 4*z. Calculate the remainder when z is divided by 0 + (-2)\/(-2) + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1\/477 (b) -2 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705549243.\nAnswer: 3, 7, 31, 1083793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -19 - 9. Let s = g - -1. What is the highest common factor of 90 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28224 and 13608.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 5*v - 6 = 0. Suppose 2*y + v + 1 = u, -3*u + 16 = -4*y. Sort -2, u, -3 in decreasing order.\nAnswer: u, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29670235825 + -169.\nAnswer: 29670235656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - (-33 + (10 - -5) + 8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -106.9 and -1.\nAnswer: 106.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 6. Let o(p) = -p**2 - 8*p - 5. Let x be o(-5). Let i be t(x). Suppose j + i*j - 3*a = 46, j - 26 = -5*a. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*n = -5*r, -5*r - 4*n + 33 = 0. Let q(c) = 3*c**2 - 2. Let z be q(2). Suppose 0 = 4*t - z + 2. Solve r*m + t*v = 6, m = 3*m - 2*v - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.65 - 1.15. Let n = g + 0.375. Let a = 0.12500079 + n. What is a rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q**3 - q**2 - q - 2. Calculate k(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*q + 236. What are the prime factors of q?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.41 + 0.01. Let o = 495.5 + -496. Which is the third biggest value? (a) -2 (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 675244.7 litres?\nAnswer: 675244700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, w: 5, d: 4, a: 2}. What is prob of picking 4 e?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and 20669.\nAnswer: -599401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -58*f. Let n(j) = j**2. What is q(n(t))?\nAnswer: -58*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**3 + 2*y**2 + 3. Let k be (-3)\/2*4\/(-1). Let s = 17 - k. Let z = -4 + s. Let d(l) = 2*l**3 + l**2 + 2. Determine z*d(p) - 4*o(p).\nAnswer: -2*p**3 - p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*n**3 + 835*n**4 + 10*n**2 + 1 + 838*n**4 - 1672*n**4 wrt n?\nAnswer: 24*n - 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16290 by -6.\nAnswer: 2715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3333, 3335, 3339, 3345?\n\"Answer: o**2 - o + 3333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n + 1. Suppose -8*o = 564 + 172. Let j = -88 - o. Calculate l(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 w when four letters picked without replacement from {f: 4, w: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 16, j + g - 2 = -j. Suppose -w - w + j*d = -39, -5*d - 57 = -3*w. Let s be (-1 - -2 - -8)*4. Calculate the greatest common factor of s and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 112114270.\nAnswer: 1\/112114270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 36*u + 3. Calculate g(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 146*m. Let i(q) = 322290*q. What is i(h(a))?\nAnswer: 47054340*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5090*t + 36. Let o(f) = 7635*f + 51. What is 7*n(q) - 5*o(q)?\nAnswer: -2545*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/22 - 7560\/17325. What is the nearest to 0.2 in i, 24, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 102*l + 657. Let t be u(95). Is t less than or equal to -1103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8*k - 7 + 0 + 75*k**2 - 74*k**2. Calculate q(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5630640 divided by -5630640?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 97.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.905 * 653366\nAnswer: -591296.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10545 and 1930?\nAnswer: 4070370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113 - -4311431342?\nAnswer: 4311432010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(125) + -2 + 3)**2 + 1.\nAnswer: -20*sqrt(5) + 502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a - 3. Suppose -u + 0*u = 5*i + 2, -5*i - 71 = -2*u. Let k(g) = u + 15 + 2*g + 9 - 27. Let d be k(-11). What is y(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8909.\nAnswer: 59, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*d - 353*d - 9*d + 103*d - 346*d.\nAnswer: -666*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 8969 and 26903\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13223\/18890*12\/(-14).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3564)*2 + -2 + sqrt(3564) + 6*(1 + sqrt(3564)))**2.\nAnswer: 6480*sqrt(11) + 1443500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxbbxtxbxcxbcbubx. What is prob of sequence bc?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*d = -m - 165*d - 9, 0 = 4*m + 4*d - 60. Solve 0 = -m*h + 5 + 22 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32577542?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2162719 divided by -12.\nAnswer: -2162719\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - h - 27 - 359*h**2 + 354*h**2 to t*h + f*h**2 + b and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*b = 126, 4*b - 7*b = -5*d + 210. Suppose c + 2*c - 42 = 0. Calculate the greatest common divisor of c and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*607\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000025806821 to 7 dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 450*t - 16875.\nAnswer: -3*(t + 75)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/3906 and (-15)\/110 - (-15336)\/(-32736).\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.96733 millennia in months?\nAnswer: 47607.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 15*a + 4. Let y be o(14). Let c = y + 13. Determine v so that 2*v**2 - c*v**4 + 2*v**4 - 2 + v**2 + v**3 - v = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-7)*b\/(b**(-18)\/b*b) assuming b is positive.\nAnswer: b**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 461541.9 years?\nAnswer: 46154.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 82519 = -5*x. Suppose 65481 = -4*f - x. Round f to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -6*f + 9*f. What is the second smallest value in -4, -19, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4661 - -1813. What are the prime factors of f?\nAnswer: 2, 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + (36 + -58 - -95).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 24 + (87 - 49).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-30)\/12)\/((-2)\/(-4)). Which is bigger: f or -7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 116*t + 19 wrt t?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 152.238 >= 5\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 1648\nAnswer: -494.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8022 (base 13) to base 8\nAnswer: 42304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 - 14)\/((-4)\/6). Let u be 14\/2 - 1 - 0. Let l(m) = 0*m - d*m - 2*m + u*m - 3. What is l(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*16\/(-1800)*5*1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -2*h - 1\/3*h**3 - 3 - 3*h**2. Determine z(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 550 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = x - 2*k + 14, 0 = 3*x + 2*k. Let c(p) = -p**2 + 7*p - 6. Let f be c(5). Suppose f*y - 5 = 5*y. Put x, 4, y in increasing order.\nAnswer: y, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o - 3*j + 11 = 0, 0 = 3*o + j. Let x be o + (2 - 2) + -12. Let r be (-168)\/(-78) - (-2)\/x. Solve 0 = -3*g + s - 11, -r*g - 4*s = 2*g + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -150*f - 207. Does 21 divide l(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -267, -14, -112 in descending order.\nAnswer: -14, -112, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1783 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 86*s - 89*s = -5, 0 = -3*s. Solve 0 = -y - 4*q - 12, -2*q - i = -2*y + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 3*v**2 - 6*v - 10. Let d be h(-4). Let k be d\/(-9) - 845\/117. Is 10 a factor of 20*k\/(7\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*f = -146*f + 70470. Sort -2\/11, f, -2\/7 in descending order.\nAnswer: -2\/11, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**5\/4 - 11222*u**4 - 3055853*u**3\/4 - 12981062*u**2 + 763963*u + 12992284 = 0.\nAnswer: -34, -1, 1, 44956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1456 + 6422*a**2 - 3419*a**2 - 3463*a**2 wrt a?\nAnswer: -920*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 84836 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 387387163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.2 in 6, -1, 0.43, 0.2, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/29 in 111, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 191, -4, 283, 4, -2 in descending order.\nAnswer: 283, 191, 4, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + f**3 + 0*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 27632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9819 and 72003818?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1082 + -1080. Let a = -1.2 - -1.1. Let c = a + 0.4. What is the closest to 1 in c, q, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -29, -70, -127, -200, -289, -394?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 - 4613*n**2\/3 - 731960*n.\nAnswer: n*(n - 5048)*(n + 435)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*b = 2*q - 6, -2*b + 2 = -3*q. What is the nearest to -1 in 0.1, -3, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3 + 11 = 0. Suppose 4*q - 10 = -q. What is the second derivative of -r*v**q + 31*v - 25*v + 8*v**2 wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 471857323 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**3 + 57*y**2 - 85*y - 150. Give l(17).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 + 67 - (7 - 40 - -47)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**2 - 12. Let f(i) = -40*i**2 - 2. Calculate y(f(w)).\nAnswer: -80*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 15 = o + 5, 0*r + 10 - 4 = -2*r + 3*o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24277 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 106.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -w - 4*l, -5*w - 114*l + 397 = -111*l. Calculate the remainder when 1669 is divided by w.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1374 divided by -6?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -23845 divided by -95?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 17*x - 8. Let j be h(7). Let u = j + -69. Calculate the remainder when u is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + sqrt(847) + -1 - (-3 + -2 + 3 + sqrt(847)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 9536 = -2*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**2 - 8*c**2 + 33*c**3.\nAnswer: 33*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -111603?\nAnswer: 111610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) 4 (c) -0.2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 12\/20 - (-9)\/15. Let w = -83 - -48. Let a = 35.021 + w. Which is bigger: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, 0, 1525 in ascending order.\nAnswer: -82, 0, 1525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k*k**(-2\/11)*k*k*k*k*k*k)\/k)*k*(k**(-6)*k)\/k)\/(k**(-2\/7))**(-3\/25))\/(k**(-1\/4)*k**1*k*(k**(-2\/3))**(1\/6)) assuming k is positive.\nAnswer: k**(-865651\/69300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 9:51 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/7, 13, 5, 6, -118?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/9 in 6, -26, 17, 0.023?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a - 1. Determine u(-8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/5)*u)\/u**(1\/7))\/(u\/(((u*u**(-1\/3)\/u*u*u)\/u)\/u)*u**(-2\/15)) assuming u is positive.\nAnswer: u**(9\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9423430589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -44787, -44910, -45025, -45126, -45207, -45262?\n\"Answer: d**3 - 2*d**2 - 124*d - 44662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k - 2*a, -5*k + 3*a + 8 + 10 = 0. Suppose 0*z + 1175 = 5*z + 5*p, 0 = 3*z - 2*p - 700. Let i = 227 - z. Sort k, i, 2 in ascending order.\nAnswer: i, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - h**2 + 5. Let w be (-44)\/(-16) - (-2)\/8. Suppose -w = 3*m + c, 3*m - 2*c - 6 = -0*c. What are the prime factors of o(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.121 minus -14467.23?\nAnswer: 14467.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*b - 959, 3*b - n - 979 = -0*n. List the prime factors of b.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2295\/(-714)*21\/(-18)*(-152)\/19.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) -1 (c) -2\/483\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-2 - (-552)\/273). Let l = -98 - p. Let y be (-3)\/(5 + -8)*l. Let w(g) = g**3 + 8*g**2 + 8*g + 1. What is w(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.221 and 2322.6205.\nAnswer: 2320.3995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t - t - 5*t)*(-115*t - 138*t - 239*t).\nAnswer: 6888*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*10.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4 - 2, 0 = 4*c - 5*b + 22. Let d be (6\/27)\/(c\/(-27)). Let f be d - (4\/(-4) + 0). Solve -4 = u - f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/20 + j**4\/3 - 6*j**2. Find the second derivative of f(d) wrt d.\nAnswer: 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29216 + -29162. Let n(v) = v**3 - 4*v**2 - 9*v + 3. Let d be n(6). Factor u*o**4 + 327\/7*o**3 + 108\/7*o**2 + d*o**5 + 12\/7*o + 0.\nAnswer: 3*o*(o + 1)**2*(7*o + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 2\/11, 5, -0.58?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 11*a + 11. Suppose 8*n = 33 + 31. Determine t(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*j = 48, 3*j - 96 = 5*a - j. Let t = 4 - a. Calculate the remainder when t is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1403 (base 5) to base 12\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/759 and 38\/5313.\nAnswer: 5313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**3 + 23*x - 13. Let a be q(9). Let g be (-2)\/(-9) - a\/(-15732). Which is greater: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppapppsp. What is prob of sequence sa?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 525\/70 - -2*1\/(-4). Is 36 a factor of (k - -161)\/((-8)\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -23*b**2 - 4. Let m(k) = -391*k**2 - 69. Calculate 4*m(o) - 69*p(o).\nAnswer: 23*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 4*w**2 - 5*w + 4. Let n be z(5). What is the third derivative of -3*a**4 - 4*a**6 + 2*a**n + a**4 - 6*a**2 wrt a?\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/8*x**5 + 61\/8*x**2 - 5\/2*x - 63\/8*x**3 + 23\/8*x**4 + 0.\nAnswer: -x*(x - 20)*(x - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-30))\/(-13)*2\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 80*h + 82*h - 3562 = 0, a - 1183 = -5*h. Solve 0 = -j - a + 1182 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 26*j**2 - 29*j + 8. Does 34 divide z(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15000 = -v + 6*v. Round v to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 11:41 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -171, 5 in descending order.\nAnswer: 5, -1, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 171\/114*(-22)\/(-3). What is the units digit of ((-11)\/(-4))\/(i\/(-1056)*-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 8*k + 7. Let n be w(7). Suppose -3 = -3*h + 3*b - 0, h - 3*b - 3 = n. Let r(x) = 4*x - x**2 + h*x**2 - 3*x + 2 - 6*x. Determine r(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24914 (b) -5 (c) -4\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -363 + 412. What is the remainder when 141 is divided by z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 - 169 = -5*v. Suppose -3*w + v = 21. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-16)*x**(-11)*x**(18\/7)*x*x*x\/((x*(x*(x**(-28)*x)\/x)\/x)\/x)*x assuming x is positive.\nAnswer: x**(53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2*f - 3 = f, -y + 9 = 3*f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -26\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1093774432.\nAnswer: 2, 149, 229399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 18*k. Let s(m) = 9*m. What is 5*b(t) - 9*s(t)?\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 637, 1205, 1961, 2941, 4181, 5717?\nAnswer: 7585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(2\/7))\/(a\/((a**(2\/9)*a)\/a))*a**2*a\/a**8)**(-22) assuming a is positive.\nAnswer: a**(7018\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 7*j**2 + 3*j - 9*j**2 + 5 - 2. Let y(m) = 3 - 2 - 2*m + 3*m. Suppose -19 = -5*o + 1. Calculate o*y(f) - k(f).\nAnswer: 2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64.5 - -65. Put p, -9\/5, 6\/7, -2\/9 in decreasing order.\nAnswer: 6\/7, p, -2\/9, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*p = -46*p - 36. Calculate the greatest common factor of 1062 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-2840)\/(-3905))\/(6\/22))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is p in -686\/5*p**3 - 42\/5*p + 294\/5*p**2 + 2\/5 = 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 503*m**6\/6 + 13*m**5\/60 - m**4\/12 + 4*m**3 - 198*m**2 - 6*m + 1. What is the third derivative of p(k) wrt k?\nAnswer: 60360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 13*w - 12. Let y be q(14). Suppose -27 = -o + 5*x, -y*o = -2*x - 6 - 16. Calculate the smallest common multiple of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -178*a + 197. Is 13 a factor of t(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**4 - 17057*r**3 + 1805022*r**2 - 48877020*r + 19263096 = 0. Calculate r.\nAnswer: 2\/5, 54, 3303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.039, 34298, 0.82 in increasing order.\nAnswer: -0.039, 0.82, 34298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19394*v + 29573?\nAnswer: -19394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8060 or 104795\/13?\nAnswer: 104795\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d - 15. Let o be l(-3). Let p(k) = 0*k**o + 109 - 111 + 4*k**3. Let m(n) = 2*n**3 - 1. Calculate 7*m(c) - 3*p(c).\nAnswer: 2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -9*y - 148. Suppose -5*w = 4*c + 92, 3*w + 41*c = 46*c - 33. Calculate d(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -22. Sort u, -4, -6.\nAnswer: -6, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 104*t**2 - 1663*t - 1285. Determine g(-118).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**4\/24 - t**2. Let g be w(-12). Calculate the greatest common factor of 108 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 362 - 781 - 969 - 34*d**3 + 97*d**3 wrt d?\nAnswer: 189*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r. Let a(j) = 7*j + 3*j - 8*j + 8*j. What is a(q(c))?\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 417*t - 57551. What is z(138)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7068718 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1318800 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by (-228)\/(-190)*(-40)\/(-12)*201\/4?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 2, 11, -274, -2 in increasing order.\nAnswer: -274, -5, -2, -1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (-1 + 0\/(-3)). Suppose 1 = 3*c - f. Solve 0 = -c*s - 2*s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) - 34\/10. Let f = 1 - g. Suppose -s = -f*y + s + 10, 5 = -4*y - s. Which is bigger: 2\/111 or y?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 102592?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 5252200.9 to the nearest ten thousand.\nAnswer: 5250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -6. Let u = 18809.98 - 18810. What is the third biggest value in u, 0.3, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.417353019 + -0.487349689. Let b = -4.93 + k. What is b rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -37*q**2 + 4*q - 8. Let s(t) = 297*t**2 - 33*t + 66. What is 4*s(h) + 33*z(h)?\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*j - 12, 7*o - 3*j + 20 = 8*o. Let z(q) be the first derivative of 3*q - 45*q**4 + 108\/5*q**5 + 37*q**3 - o - 15*q**2. Factor z(s).\nAnswer: 3*(2*s - 1)**2*(3*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 242*n**2 + 66*n wrt n.\nAnswer: 484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/7)\/(-1 - 110\/(-70)). Let q = 81.1 - 81. What is the fourth biggest value in i, -0.3, q, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26920\/(-12)*(-30)\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 220*x**2 - 182*x**2 - 1826*x**4 + 1828*x**4 to the form v*x + w*x**2 + c*x**3 + d + q*x**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*z - 237361 + 248680 = -8587*z - 1022196 for z.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67078336.\nAnswer: 2, 13, 37, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 85223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/6)\/(600\/240). Let z(u) = -2*u + 5. Let p be z(4). Which is the third smallest value? (a) p (b) n (c) 2\/3 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ztzrzzozrzztz. Give prob of picking 1 o, 2 z, and 1 t.\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -21 + 246. What is the units digit of 2 + (-7)\/((-21)\/q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 116, 233, 350, 467, 584, 701?\n\"Answer: 117*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/400 and -99\/32.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, q: 1, k: 2, m: 2, y: 1, e: 1}. Give prob of sequence km.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 4\/5, 31, 3\/25?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010111011 - -10101?\nAnswer: -11010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 + 416079*l - 173121734241.\nAnswer: -(l - 832158)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-10)*3\/6. Is n > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (9 - 3)) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (66870\/54)\/(10\/150)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.27 + -9?\nAnswer: 64.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -57, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 10*l**4 + 292*l**3 - 1222*l**2 + 1064*l + 264 = 0.\nAnswer: -33, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhf when three letters picked without replacement from ffh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2039*-33\nAnswer: 67287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -405.40543912 - -398.10543. Let y = 7.3 + m. What is y rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppzzkpvvppppp. Give prob of sequence kzv.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2872408 to the power of 1\/2, to the nearest integer?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 r when two letters picked without replacement from mro.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 0*q - 1 + 11*q**2 - 3 + 7*q + 2*q. Let c(y) = 5*y**2 + 4*y - 2. Let f(k) = 9*c(k) - 4*u(k). Find the first derivative of f(g) wrt g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 799740*b**2 + 1599495*b + 799750.\nAnswer: -5*(b - 159950)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101101010101 + 11?\nAnswer: -111101101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -63531 not equal to -3833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 807409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2. Let q(s) = -6 - 21*s**2 - 1 + 7. Determine i(q(y)).\nAnswer: -882*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 347328 divided by -2?\nAnswer: -173664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 364038 and 3655?\nAnswer: 1820190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515703*j + 47932 = 515182*j for j.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**3 - 33*j**2 - 48*j + 576. Determine u(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(-3 + 2))\/((-4)\/2). Suppose k*c - 240 = -4*c - v, 3*v = 3*c - 195. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 25*r**2 + 28*r - 633. Let m be i(25). Calculate the greatest common divisor of 2144 and m.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 9*y + 5. Let r = -7 + 9. Let g(d) = 4*d + 2. Calculate r*c(o) - 5*g(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4345\/2 - -6518\/3. Which is the closest to -20? (a) z (b) 0 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + 10. What is the highest common divisor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.33 + 0.03. Let z = -165.46 + 164. Let i = z + -0.54. What is the nearest to -2\/9 in j, 3, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11096 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 g = -33 - -114. Suppose -3*q = 3*d - g, 12 = -3*d + 3. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 5*q + 3*q)*(-q**2 + 0*q**2 - q**2 + (-2*q - 3 + 3)*(0*q + 0*q - 2*q)) in the form c + x*q**2 + j*q + o*q**3 and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*i - 4*n - 31, -5*n = -4*i + 27 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c0c + 2b2?\nAnswer: 10c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1649\/37 or -44?\nAnswer: -1649\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((189\/36)\/(-7))*(-204)\/(-3536).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from {a: 7, q: 1, m: 5}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 24. Suppose z - 8 = 4*b + 3, 3*b = -z + o. What is the tens digit of (-2)\/z + 926\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 7*q + 1. Suppose 3*m = -5*g - 2, 4*m - 21 - 7 = g. Let h be n(m). Let r be 2*1 + 4 + h. What is the greatest common factor of r and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in 0.2, 2\/5, -1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -293176 by 26.\nAnswer: -11276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-24) - (-22)\/6. What is the tens digit of (y\/(-2))\/1*-28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10756.\nAnswer: 2, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16933\/6 - -2830. What is the common denominator of 4\/6 - 1084\/96 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) - (sqrt(405) + 0 + -2) - sqrt(405))**2.\nAnswer: -36*sqrt(5) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/40*4*20\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -161, 85376, -5 in increasing order.\nAnswer: -161, -5, 85376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, r: 3, f: 2, s: 6, k: 3}. What is prob of sequence hfk?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 6:34 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1685\/4 - 416. Which is bigger: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 917, 909, 903, 899, 897, 897, 899?\nAnswer: 903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + l - 4*l + 11 = 0, -23 = -2*t - 3*l. Let w be ((-656)\/20)\/(t\/(-10)). Suppose -2*a + 2*p + w = 0, 45 + 58 = 3*a + p. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 588 (base 9) to base 2.\nAnswer: 111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32115 is divided by 1769?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**3\/2 - f**2 - 2*f. Let k be h(-2). Suppose 2*j + 24 = k*j. What is the greatest common factor of j and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(363) + -1)*3 + sqrt(363) + -1 + 2 + -2 + 2)**2.\nAnswer: -352*sqrt(3) + 5824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/29, -8, 32, 2\/7, 0.05, 19?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -13, -17, -19, -19?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 17*d - 2. Let k(i) = 240*i - 28. Let w(c) = 2*k(c) - 28*t(c). Let m(u) = 20*u. Give w(m(r)).\nAnswer: 80*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 13*k + 2. Let i(t) = -175*t**2 - 51*t + 8. Determine i(f) - 4*q(f).\nAnswer: -171*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 4 - (-71)\/(26554\/1848)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 2*y**2 + 13*y + 19. Calculate q(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 + 3*n**2. Let h(m) = 942*m**3 - 27*m**2 + 14. Let p(c) = h(c) + 6*v(c). What is the third derivative of p(t) wrt t?\nAnswer: 5724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 523492177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20983, -11.7, -4\/3?\nAnswer: 20983","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6140248.\nAnswer: 2, 59, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 532770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39514\/(-12026)*(-84)\/(-6).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xddd when four letters picked without replacement from xddxdx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 52. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 8 = 7*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 4*r - 114. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 235*m**2 + 1400*m - 35280.\nAnswer: 5*(m - 9)*(m + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-257526)\/5522 + 3 + 44. Solve z*v**3 + 10\/11*v**2 + 6\/11*v + 0 = 0 for v.\nAnswer: -3\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 650551097?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10464*l**4*x - 191*l**3*x - 2*l**2 + 19*l + 53785*x wrt l.\nAnswer: -125568*l**2*x - 1146*l*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {o: 2, s: 2, q: 3, t: 9, b: 3, r: 1}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 7346 = 2174. Let f = i + -261. What are the prime factors of f?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92704 + -51665. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 150.7 + -178.71. Let b = o - -28. Let g = b - 0.37. What is g rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from qtjsqvnvqtts.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/165 + (13\/(-3))\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -32*d - 189. Determine j(-7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 - 77. Suppose 539 = 5*h - 2*j, 2*j - 339 = -k*h - 2*j. List the prime factors of h.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 189\/63*(-3)\/(9\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1426*o*q*s**2 - o*q - 178*q*s**2 + 4*q*s - 144*q - 2286 wrt s.\nAnswer: -2852*o*q*s - 356*q*s + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -46*i - 276. Let j be f(-6). Solve j*a - 15 = 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 0*g - 4 + 0*g - 4*g + 3*g. Let k(p) be the second derivative of p**4\/6 + p**3\/6 - p**2 + 4*p. Let n be k(-2). What is v(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 - 11*z**2 + z**2)*(-8*z + 5*z + z - 2) + (-18 + 4 + 6)*(z**3 + 0*z + 0*z) + 0*z**3 - 3*z**3 + 5*z**3 + (-3 + 3 + z**2)*(0*z + 3*z - 2*z).\nAnswer: 15*z**3 + 20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19829584 is divided by 92?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2. Let r(d) = -6*d. Suppose 2*z - 7*z + 20 = 0. Let m(o) = 6*o. Let l(b) = z*m(b) + 5*r(b). Determine l(i(j)).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o + 85816 - 85683 = -3*h, -3*o - 21 = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000305997 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1127431779 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*f - 191*f - 456*f - 20672 = -32*f for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2\/19 (b) 1 (c) -8 (d) -504 (e) 5351\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -5682.6?\nAnswer: 2841.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 9:43 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 60*t + 366. What are the prime factors of s(15)?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1005411 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 71971542 + 117668458. What is j rounded to the nearest 1000000?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -562.3 + 540.3. Which is the fifth smallest value? (a) 1\/3 (b) f (c) 1 (d) -1\/6 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1003076 and 1003076 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000927 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 57522542562\/14478 + (-2)\/38. Round o to the nearest ten thousand.\nAnswer: 3970000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1211 - -52735?\nAnswer: 54146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1621 rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 706 and -3.\nAnswer: -2118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 11. Let y be z(-4). Suppose -y*f + 16*f - 13 = 0. Suppose 0 = h - f - 48. Calculate the greatest common factor of h and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 9 - 60 = -3*g, 3*v = 0. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 230, -1208, -4626, -11014, -21362?\n\"Answer: -165*n**3 - 283*n + 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, 1 in descending order.\nAnswer: 12, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/95, 13, -3 in ascending order.\nAnswer: -3, -1\/95, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 252 = -s. Suppose 39*m - s*m + 210 = 0. Calculate the highest common factor of m and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-2\/7))\/(n\/(n**(-1\/2)*n)))**(-2\/123)*(n**(-1\/5)\/(((n*n**(2\/5))\/n*n)\/n*n))**(1\/3) assuming n is positive.\nAnswer: n**(-2381\/4305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 - 149\/2. Suppose 4*u = -5*o - 2 - 0, -3*o + 12 = -2*u. Suppose -f + o = -3. Which is the second smallest value? (a) i (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 22*f**2 + 76*f - 7. Let i be s(3). Let n(w) be the second derivative of w**4\/6 + 5*w**3\/6 - 2*w**2 - w. Calculate n(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7404303?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18234253 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w + 24. Let o(y) = y - 6. Give -4*c(k) - 18*o(k).\nAnswer: 2*k + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -27*j - 7. Let p be i(-4). Let u = 120 - p. Which is smaller: 17 or u?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 102 + (-23 - -5 - -26)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l - 27*l + 9504. Calculate the greatest common factor of 48 and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -10. Suppose 3*z - 9 = -r*z. Suppose 2*u - z*f = -6, -3*f + 11 = -1. What is the remainder when 10 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 44?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*2 - sqrt(88))*5 + (sqrt(88) - (sqrt(88)*2*5 + sqrt(88))) + sqrt(88))\/(sqrt(200)*-2*5).\nAnswer: 2*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/39*(-8)\/(-6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*a - 346 + 52 = 0. Suppose l = -y + 1247, -5*y + 8*l + 6235 = a*l. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (1 - -1) + 3 + 22 + -26.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128055 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 9. Let j = -261 + 469. Let z = j - 212. Sort -0.06, z, t, -2.\nAnswer: z, -2, -0.06, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -14 + 8. What is the common denominator of -67\/6 and (-808)\/12*k\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4552057 is divided by 488?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2218, 4449, 6682, 8917, 11154?\n\"Answer: i**2 + 2228*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 6:37 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2699*q + 2735*q - 5431*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/3)\/(4\/2). Let k = 0 + -2. Which is smaller: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b + 8. Let o(c) = 3*c - 1. Let z(m) = 13*m - 5. Let i(v) = 9*o(v) - 2*z(v). Let f(x) = 4*i(x) - u(x). What is f(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1299511522?\nAnswer: 2, 97, 313, 21401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s - 1. Let i(j) be the first derivative of 2 - 1 - 3 - 2*j**2 - 2*j + 3*j. Determine 3*i(h) + 2*x(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/60*(-600)\/480?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*b - 3*r, b - 1 = -r + 2*r. Suppose -4*k + 91 = b*k. Suppose 2*y + k - 249 = 0. What are the prime factors of y?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.69*0.1\nAnswer: 0.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 33*g - 516 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 + 12*s - 197*s**2 + 2 + 203*s**2 + s + (-s**2 - 5*s**2 + 3*s**2)*(-4 + 4 + s) + 3*s**2 - 3*s**2 + s**3.\nAnswer: -s**3 + 6*s**2 + 13*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114.74 + 114.63. What is the third smallest value in 4, b, 5, -0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**10))\/(u\/(u*((u\/(((u*u**(-1\/7))\/u)\/u))\/u*u)\/u*u*u*u)) assuming u is positive.\nAnswer: u**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -769611, -769595, -769579?\nAnswer: -769563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (63168\/1080)\/94 + 1 + (-22)\/18. Put -47, -10, k, 4 in decreasing order.\nAnswer: 4, k, -10, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.74281805 plus 36382?\nAnswer: 36384.74281805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1221*a**2 - 18. Let u(s) = 305*s**2 - 4. Calculate -2*f(c) + 9*u(c).\nAnswer: 303*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 11334 + 11334 - o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 20*r + 1. Let j(h) = 4*h**2 - 2*h - 1. Let b be j(-1). Let o be (-2 - 1) + 1 + b. What is the remainder when z(o) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80130222?\nAnswer: 2, 3, 54959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-24)*-6)\/38.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*-3*6\/15. Let o(x) = x**3 - 1. Let q = 18 - 26. Let t = q + 7. Let k(p) = -7*p**3 + 6. What is r*o(z) + t*k(z)?\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(228)\/(sqrt(12) - (sqrt(12) + sqrt(60)\/sqrt(5))*4) - (-3*sqrt(76)*-1)\/(-2*sqrt(484) + sqrt(4)))**2.\nAnswer: 304\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 249\/2 - 124. Let h = -255 - -513\/2. Which is the nearest to t? (a) 0.03 (b) -2\/11 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 9 = -3*p - v, 12 = 4*p - 5*v. Sort 1, p, 5, -6.\nAnswer: -6, 1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(16)\/sqrt(8) - 1*sqrt(162).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*q + 20 - 53 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/21*(-21)\/36?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 9 = 3*w, 0 = 2*w + 2*h + 3 - 1. Suppose 2*k - 154 = -w*b, 2*k + 3*b + 2*b - 163 = 0. Suppose i = -l + 24, -l = 3*i + 4*l - k. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 684\/(-912) - (-294)\/8. What is the greatest common divisor of 3105 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (1 + -3 - -2). Let m = 468\/2453 - 2\/223. Calculate the common denominator of (-2 - 52\/28) + p and m.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -125, -5, 2\/9, 3, 1\/24 in descending order.\nAnswer: 3, 1, 2\/9, 1\/24, -5, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68671*k*w + 1741*k - 617434968*w with respect to k.\nAnswer: -68671*w + 1741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.035 * 2.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 4)*(-5*g + 2*g + 0*g)*(-1 + 14*g + 1).\nAnswer: -168*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*o - 189 = 37*o - 881. Let m = -4 + 13. What is the closest to m in -4\/9, -0.3, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1070*w**3 + 40781*w**2 - 45*w**3 - 40782*w**2.\nAnswer: 1025*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -749, -812, -835, -806, -713?\n\"Answer: 2*k**3 + 8*k**2 - 101*k - 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -138656.61 rounded to the nearest 100?\nAnswer: -138700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, t: 2, g: 5, w: 8}. What is prob of sequence ggt?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j - 1. Let b be i(-1). Determine a so that a + a + 2*a**2 + 2*a**b - 6*a = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 156.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.68, -2\/3, 284?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14*((-28)\/(-8) - -2). Suppose 4*w - a = i - 2*i, -3*w + 4*i = -72. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = g - 5336, 109*i = 4*g + 114*i - 21239. What are the prime factors of g?\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -4*m - 26. Let l = -13 + m. Suppose l*w - w = 2*g - 42, 2*g + 5*w - 26 = 0. Solve 2*r - 7*r - 5*j + 20 = 0, -4*r = -3*j - g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g + 9*x = -34*g - 9, 0 = 4*g + 3*x - 15. Let p(m) = 14*m**3 + 17*m**2 - 32*m + 6. Let d(q) = 5*q**3 + 6*q**2 - 11*q + 2. Give g*p(f) - 17*d(f).\nAnswer: -f**3 - 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -20.86 equal to 178\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*p - 544*p + 174*p + 188*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d**2 - 38 - 56 + 26 - 2*d**2 + 10.\nAnswer: -16*d**2 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 18. Let f = -3 + h. Let w = -3 + f. Let g(i) = 8*i**2 - i. Calculate g(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-95 - (-10 - 78)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooootooooooootott. What is prob of sequence to?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 61 (b) -0.3 (c) 5 (d) -0.09 (e) -0.228\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 12:48 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**3\/9 - 2624*u**2\/9 - 56176*u\/9 - 81152\/3 = 0.\nAnswer: -634, -16, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.087 * 0.5.\nAnswer: 0.5435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49 or -3393963?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 4*u**2. Suppose f = 4*n - 12, -n - 18 = 4*f - 2*n. Calculate y(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*(d*d**(10\/3)*d)\/d*d)\/d*d)\/(d*d**8)*(d*d*d\/(d**12\/d)*d)\/d**(-4) assuming d is positive.\nAnswer: d**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10.734 times -4\nAnswer: 42.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1409030212 and 3?\nAnswer: -4227090636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 15. Let n = -16 + s. Let h = n - -16.99999993. What is h rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p**3 + 6*p**2 + 65*p + 55. What are the prime factors of x(-9)?\nAnswer: 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9785, -19571, -29359, -39149, -48941, -58735?\n\"Answer: -a**2 - 9783*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61285 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 171, 176, 195, 234, 299?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1673261250 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334586 divided by -22?\nAnswer: -60663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 5:43 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 52\/39*3\/2. Let m be ((-1 - 3)\/8)\/(-2). Which is the nearest to m? (a) -3 (b) r (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + z + 1, 17*z - 13*z + 14 = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 918 and 121218840.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuff when four letters picked without replacement from ufufuufuuufuufuu?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/195 and -23\/74295.\nAnswer: 74295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a day in minutes?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690*h = 691*h - 19. Let c be 2*1 - -9*1. Let l(f) = c*f - h*f + 5*f. Let g(k) = -k. Calculate l(g(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2. Let p(v) be the second derivative of 0 - 1\/2*v**2 + 0*v**4 + 0*v**3 + 1\/12*v**5 + v. Let j(z) be the first derivative of p(z). Give j(l(k)).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 200269, -9 in decreasing order.\nAnswer: 200269, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -15*f + 1. Let a be h(-1). Suppose -4*g = 5*i - 9, a = -7*g + 3*g. Find the third derivative of -2*k**5 + k**2 + 0*k**2 + i*k**5 wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 2)*(-39*s**2 - 9*s**2 - 11*s**2) + (0 + s + 0)*(-3 + 3 + s) in the form w*s**2 + a + c*s and give w.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439*h - 334953 = 262087. What is the highest common divisor of h and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (15 - (-8 - -22))) + 12?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -448, -1009, -1794?\nAnswer: -2803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19570701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18973185 to the power of 1\/3, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2550 + -2462. What is the highest common factor of q and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23016, 45811, 68382, 90729, 112852, 134751?\n\"Answer: -112*j**2 + 23131*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -173, -818, -1891, -3392?\n\"Answer: -214*g**2 - 3*g + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154049041 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 4)*(-d + 2 - 2) - 9800 - 20*d + 9800 to the form w*d + o and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, a: 1, o: 2}. What is prob of sequence bb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000058 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.086521 + 0.086521. Let s = 14 - 9. Which is the biggest value? (a) 4 (b) u (c) s (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 2\/77 (c) 47 (d) -6\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17883 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -199, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -344 (base 14) in base 4?\nAnswer: -22020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/40 and (-7 + 338\/32)\/(483\/4).\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14927492 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 5. Let y be s(6). Suppose -u + 10 = y. Suppose -c + 5*c - 44 = -4*z, c = -3*z + 43. Calculate the remainder when z is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 137.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/3677388 and 79\/558?\nAnswer: 341997084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from gmmgmgmmmg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 11*x = -13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -154*b - 1. Let a(c) = 158*c + 1. Calculate -2*a(z) - 3*t(z).\nAnswer: 146*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 + 2 = -40*l. Let h(x) = -x**2 + 8*x - 20. Let t(n) = n**2 - 5*n + 13. Determine l*h(u) + 8*t(u).\nAnswer: 3*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2229 and 0.4.\nAnswer: 0.08916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -27*v**3 + 7*v**2 + 6*v. Let z be o(-2). Suppose 16*h - z - 120 = 0. Calculate the remainder when 34 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13090 and 2618.\nAnswer: 13090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2364000444?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*3\/(-2))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.77? (a) 13 (b) 4 (c) 0 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(5 - 1 - 2)*(9*a + 13*a + 0*a).\nAnswer: -44*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 54, 187, 318, 447?\n\"Answer: -a**2 + 136*a - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 484 a factor of 679049452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -21*z - 9. Let g be p(-3). Let m = -20 + g. Find the third derivative of 6*n**2 - m*n**4 + 2*n**2 + 20*n**2 wrt n.\nAnswer: -816*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2 + 80*g - 50. Let j be o(26). Solve j*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120312231 - -2?\nAnswer: -120312223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4 = -2*p, -4*o = 8*p - 0 - 28 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43915237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/55 + (-43)\/(-5). Suppose 0 = -f - 5*t + 10, 3*t = 2*f - 3 + a. Suppose -9*x + 1075 - 346 = f. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from {a: 2, m: 3, s: 1, j: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iizfzfimfddfifmfdffi. Give prob of sequence dd.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73504 divided by -3.\nAnswer: -73504\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 7. Suppose -4*p - 10 = t. Let h(b) = 2*b - 6. Let c(k) = -k - 1. Let y(g) = 3*g + 10. Let n(j) = 5*c(j) + y(j). Determine p*n(q) - 3*h(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 8.8276?\nAnswer: -13.8276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -177*u**2 - 2*u - 1. Give x(-1).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/60, 0.437, -4, 4, 0.5, -3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43179583.\nAnswer: 79, 619, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6\/7, -0.8, 52565 in decreasing order.\nAnswer: 52565, 5, -0.8, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.69 to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*d - 14 = 0, -3246*k = -3242*k - 4*d - 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 8:38 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -451*k + 449*k. Calculate the greatest common divisor of k and 760.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -21?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*i = 0. Suppose -2*r = -m - 73, r + i*r + 5*m = 31. Let d be 0\/((-9)\/(r\/16)). Solve -x - 2 = -d*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 5 = k, -4*q = k + k - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 8:35 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 3928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-45) + (-8)\/12 - (-496)\/(-780).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*u = -3*g + 260*u + 10257, -4*u = 2*g - 6838. What are the prime factors of g?\nAnswer: 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*u + 203*u - 230384 = u. Solve 8*m + 608 = u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgkkkkkkkkgkkgkggk. What is prob of picking 2 g and 2 k?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.65 - -18.35. Which is the nearest to -2\/3? (a) -5 (b) n (c) -2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 23, 1460.\nAnswer: -2, 23, 1460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-194)\/4)\/(1\/(-73)). Let u = m + -4126. Let x = u + 632. What is the common denominator of -65\/18 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62b1c (base 16) to base 2.\nAnswer: -1100010101100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*29\/10556*-2782?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + ((-5900)\/130 - -28))*(-4)\/(-2)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 + 37*p**2 + 24*p - 36. Let r be k(19). Sort r, -3, -5 in decreasing order.\nAnswer: r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 135, 230, 345, 480, 635, 810, 1005?\n\"Answer: 10*a**2 + 65*a + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33936682, 67873359, 101810036, 135746713?\nAnswer: 169683390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44370 and 4590?\nAnswer: 133110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 36 = -q + 29, -2*q + 115 = -3*h. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*s - 194*s**2 + 86*s**2 + 53*s**2 + 53*s**2.\nAnswer: -2*s**2 + 20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from sasapassaa.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14971 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14774 and 24742?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20912831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 4.88.\nAnswer: 4.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 150 + (-3 + -23 - ((30 - 105) + 47))\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = -1. Let m be (6\/4)\/(2\/y). Suppose m*n + x = 43, 0 = n + 4*x - 14 - 15. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - (1 - 0) - 1. What is the second derivative of 6*g + 2*g**4 - a*g - g**4 wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0*u + 2*g + 92, -4*u + 332 = g. Suppose 0 = 4*m + 5*l - u, -3*m - 3*l + 63 = -l. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -184 + 183.8. Which is smaller: -17 or q?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nib when three letters picked without replacement from {n: 2, i: 8, m: 4, y: 1, b: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 225103\nAnswer: 5\/225103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-22 - (-7 - 9)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 198*1*4\/(-8). Let s = -36 - m. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*p - 36 = 237*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -0.8. Let p = -31 - -49. Suppose -7*j - p = -16*j. What is the biggest value in v, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(2*sqrt(133) - sqrt(133)) - -1*(sqrt(133) - (sqrt(133) + sqrt(133)*-1) - sqrt(133)))\/(sqrt(1008)*2 - ((sqrt(84)\/sqrt(2))\/sqrt(6) - sqrt(7))))**2.\nAnswer: 19\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 51. Let v = 38.2 - m. Which is the closest to -0.1? (a) 7 (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m = -112. Let x = 4 + 2. Calculate the remainder when m is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -31*h**2 - h**2 + 29*h**2. Let b(t) be the first derivative of 2*t**3\/3 - 1. Give b(f(r)).\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -3\/20*f**5 + 0*f**3 - 1\/12*f**4 + 0*f**2 + 0 + 2*f. What is the third derivative of h(b) wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a03bee (base 16) to base 13.\nAnswer: 2238991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-56)*148\/(-37)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - u - 2 - 6, 5*u = -4*v - 12. Suppose 20 = 3*f + v*f. Let p be (-21)\/36*2 + 4\/4. What is the closest to -1 in -5, f, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 61.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2212731, 2212715, 2212699, 2212683?\nAnswer: 2212667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) -4 (c) 69 (d) 1\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*r - 374*l - 4*r**3 wrt r.\nAnswer: 2*l - 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2587653923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 - 2*o + 11 - 7 - 9 as y*o + a*o**2 + l*o**3 + h and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1427711 and -1427796 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u. Suppose -5*z + 4*z = -4. Which is the closest to u? (a) z (b) -3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 5*v**3 - 3405*v**2 - 6830*v = 0.\nAnswer: -2, 0, 683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20462 is divided by 18653?\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 3*p**2 + 9*p - 7. Let x be t(4). Let m be (x + (3 - 3))*26. Is m\/18 - 4\/(-18) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 599\/5 + -2181\/20. Let f be 22\/5 + (-11)\/((-275)\/15). Calculate the common denominator of k and (6 - 3) + 5 + (-74)\/f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 0. Let i be -13 - (2*-1 - -1). Let s be (-35)\/v + 8\/i. Solve -5*c - 29 + 0 = -4*j, -j + 2*c + s = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2514341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a0 - -2a?\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f - 43*f = -12*f - 440 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2041 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d + 888. Let t be h(-73). Calculate the highest common divisor of 29 and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 42. What is the second derivative of -p**2 + 16*p - 8*p + p**q - 6*p**2 wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10, 138, 266, 394, 522?\n\"Answer: 128*m - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9830\/7 or -1405?\nAnswer: -1405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 40797036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-5 + 40 + -19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/5 + 12*i**4\/5 - 184*i**3\/5 + 528*i**2\/5 - 448*i\/5 = 0. What is i?\nAnswer: -14, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 44 + 41 + 358 + 224 - 2*h + 4*h. Let a(w) = -w. What is a(c(k))?\nAnswer: -2*k - 667","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvss when four letters picked without replacement from ssvsssszvvsvv?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 4*i - 2.\nAnswer: -2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/3136*(18 - 20).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 452425*y**2. Let f(q) = 2*q. Give f(a(v)).\nAnswer: 904850*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l + 552. Let p = l - 153. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwkkif. Give prob of picking 1 i, 2 k, and 1 w.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*510\/108 + 16\/(-1008)*-7?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**6\/24 + 7*w**5\/60 - w**4\/12 - 8*w**2. Factor f(a).\nAnswer: -a*(a - 1)*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 1\/((-1)\/4). Which is the nearest to 1\/5? (a) -1\/2 (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 7:48 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10604.\nAnswer: 2, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from ggggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133020 (base 7) to base 16.\nAnswer: -61dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 26 = -2*y + 19, 2*y - y - 142*g = 5*y - 140*g - 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5315, 21310, 47967, 85286?\nAnswer: 133267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*p - 15 = 0. Let j(w) = w**2 - w. What is the units digit of j(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -5, -6, 9, -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -274785 by -2.\nAnswer: 274785\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243417 is divided by 81105?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 107 in -2, 0.043338, 0, -0.3?\nAnswer: 0.043338","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.96 - 0.04. Let i = -336 - -228. Let j = 102 + i. Which is the nearest to u? (a) 3 (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/11)\/(170\/4675)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Divide -903328517 by 69486809.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 173, -0.83, -11, -0.2, 9?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9\/(-7) + 1 - (-583)\/7?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 186 in descending order.\nAnswer: 186, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/2*(-40)\/(-96).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = -40*j - 115. Suppose -40 = -2*r + 3*l, -13 - 73 = -5*r + 4*l. Suppose -c = 3*t - 15 - r, -4*t + 44 = 4*c. Solve -5*f + t + j = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3*sqrt(4896))\/(-1*sqrt(8)\/sqrt(4)))**2.\nAnswer: 22037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {i: 6, x: 1, c: 6, q: 1, v: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 9 + 2*h**2 - 2*h**2 - 4*h**2 + 9*h. Let d be w(5). Solve -b + 5 = d*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 1. Let u be n(5). Let z(v) = 4*v**2 + u*v - 4*v - 3*v**2 + 15*v + 4. Let x be z(-17). Solve -t - x*y - 11 = 10, -3*y - 14 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0263804 to 3 decimal places.\nAnswer: -1.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 15, 21, 29?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**6\/180 + v**5\/40 + 35*v**4\/12 - 17*v. Let n(m) be the third derivative of a(m). Give n(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -3 - -1) + (-5 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2906 and 0.06?\nAnswer: 0.017436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.227 times -7\nAnswer: -1.589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/277380 and 97\/616.\nAnswer: 42716520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 6*s**2 - s + 9. Suppose -2*v = -4*z - 28, 4*v - 2*z = 6*v - 16. Let u = v - 4. Calculate the remainder when i(u) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from {s: 1, f: 3, b: 1, j: 3, u: 1, t: 10}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -973, -952, -921, -874, -805, -708, -577, -406?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125226, 250474, 375722, 500970?\nAnswer: 626218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -5924219964?\nAnswer: 5924219966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < -13609137.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 656574 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f - 4*h - 16, -3*f + h + 22 = 0. Let n = 4 + 1. What is the remainder when f is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 5*l + 73451, -5*m + 54881 = -9*l - 36887. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1.06, 1, -22 in ascending order.\nAnswer: -22, -12, 1, 1.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(((b*b**(-3))\/b)\/b)\/b)\/(b**(-8)*b)*(((b\/((((b\/(b\/((b\/(b*b**(1\/9)))\/b)))\/b)\/b)\/b))\/b)\/b)\/b**4 assuming b is positive.\nAnswer: b**(19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**3 + 29*g**3 - 44*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819*i - 138160 = -2635*i for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(5\/8)*d)**(-3) assuming d is positive.\nAnswer: d**(-63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 6*a = 19716. Suppose 764 = 15*v - a. Suppose -2*p + v - 4 = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 8) to base 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42 and -199231.5?\nAnswer: -8367723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, u: 5}. What is prob of picking 4 u?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 3*f**2 + 0*f**2 + 4 + 9 - 12*f**2 to r*f**2 + d*f + c and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-39))\/u**(-2)*(((u*u**(-20))\/u*u)\/u)**(-25) assuming u is positive.\nAnswer: u**543","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 97185244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5 = 25. Solve 9 = -u*z - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3*s + 3272*d**3 + 145*d**2*s - 7*d**2 + 11705579*d*s + 3*s wrt d?\nAnswer: -12*d*s + 19632*d + 290*s - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3558648 + -2504948. What is x rounded to the nearest 10000?\nAnswer: 1050000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((6 - 7 - -26) + -3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jeez when four letters picked without replacement from kjkzejzzkzzkkzejkj?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 195609420*l + 1913152259636820.\nAnswer: 5*(l - 19560942)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.314 + 1.7242. Let x = 2.315 - u. Let a = x - 1.9. What is a rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -8*u + 3*u. Let m(s) = 32*s**3 - 92*s**2 + 80*s - 20. Let c(v) = -33*v**3 + 92*v**2 - 80*v + 21. Let g(b) = u*m(b) + 4*c(b). Factor g(t).\nAnswer: 4*(t - 2)*(t - 1)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*r + 4*r + 7*r + (-1 - 3 + 3)*(2*r + 1 - 1) + 28*r - r + 2*r.\nAnswer: 31*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(378) + sqrt(42) - (sqrt(420)*-2 - sqrt(420))\/sqrt(10))\/(sqrt(72)\/((sqrt(108) + sqrt(12))*-1)).\nAnswer: -88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3) - 18\/(-81). Suppose -5*m + 31 = j, 7*m - 2*m = 4*j + 26. Suppose -2*z = m*s - 4*s, -5*s = z. Does f = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(-5) + (-6 - -9) - -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/33 in -1.3, -4, -2\/3, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1637, 2053, 2725, 3701, 5029, 6757?\nAnswer: 8933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a second in milliseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + -3)*-3)**2*4.\nAnswer: -1512*sqrt(3) + 5616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 + 65*i + 44. Give d(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1435\/3444*(-6)\/(-5))\/((-30)\/8).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 6)*(c + c + 0*c - 1).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + x**2 + 19*x + 62. List the prime factors of b(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0.02, -43 in increasing order.\nAnswer: -43, 0.02, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 76*o**2 + 10933*o - 1586. What is l(-144)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6761972.448 rounded to the nearest one thousand?\nAnswer: -6762000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = v - 14, -2*v + 2*r + 16 = -0*r. Solve 0 = -j - v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 422*o**2 - 2507*o - 65. Calculate c(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.171577985 - -8444.878877985. Let r = s + -8444. Let q = 0.69 - r. Round q to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 6:18 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 + 267 = 121*u. Let f(q) = -q**3 + 2*q**2 - 11*q. Let h(m) = 2*m**3 - 3*m**2 + 16*m. Give u*h(l) + 8*f(l).\nAnswer: 2*l**3 + l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/10)\/(-1))\/6*-3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*s + 5 + 2*s**2 + 1)*(4*s**3 + 9*s**3 + 10*s**3).\nAnswer: 46*s**5 - 46*s**4 + 46*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/9 (b) 13.747 (c) 0.03 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**4\/60 + 76*o**3\/15 + 153*o**2\/10 + 263*o - 3. Find q, given that l(q) = 0.\nAnswer: -1, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 514*a**3 - 1. Let h(t) = t**2 + t. Let r be h(-2). Is g(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -11*y + 39. Calculate r(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -202, -302, -402?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-1 + -4 - -74) - (-4 + -5 + 13)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*z + 8, -3*n = -3*z + 608 - 611. Let k(w) be the first derivative of 3\/2*w**2 + 2*w + 2. What is k(z)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + f - 91 = 0, 2*c - 6*f - 192 = -10*f. What is the remainder when c is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/13, 3, 144\/359?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 5. Suppose -t + 5*t - c = 0. Let k(a) = -4 - t*a**3 + a**3 + 3*a**2 - 3*a**3 + 5*a**3. What is k(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/6)\/(-2)*5*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzklsqlpzlzll. Give prob of sequence lspq.\nAnswer: 1\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -1\/6*j**3 + 1\/5*j**5 + 0 - 2*j + 0*j**4 + 0*j**2. Find the second derivative of r(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/38)\/(((-495)\/(-132))\/(180\/(-216))).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d. Let v be -2*144\/168*(11\/4 + -1). Sort v, d, -14.\nAnswer: -14, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4195067785.\nAnswer: 5, 503, 1668019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 228308321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5874879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 191654714.131 take away 0.05?\nAnswer: 191654714.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 6. Let s = -3 + 3.5. What is the second biggest value in w, s, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2146 rounded to three decimal places?\nAnswer: 0.215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445 > 18801\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 12 = -20. Let l be (-8)\/w - 15\/(-4). Suppose -t = 2 - l. Solve -t*c - 10 = -4*o, -5*o - c = -3*c - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*u**3 + 2\/13 + 6\/13*u**2 - 6\/13*u.\nAnswer: -2*(u - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 * -1169.\nAnswer: 24549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -44, 7, -311, -0.5?\nAnswer: -311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/54*(-42)\/(-70))\/(5 + 7 - 10).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 9:50 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-196 - -208) + 2 + -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 4)*-1 + -20804. What is i rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -17694.837?\nAnswer: 17695.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 5*h + 5*w, 2*h - w - 60 = -0. Let c = 37 - h. What is the units digit of (c\/4)\/(78\/6760)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2 in 3, 4, 37408, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 501386 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82138311 = -100*g - 132*g + 61*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-11 - (2 + 25 + 1 - (-412 + 413)))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 6*b**2 + 108*b + 54. Let p be i(14). Let v(o) = -3*o**3 + 2*o**2 + 9. Let r(t) = -t**3 + t**2 + 1. Calculate p*v(w) + 4*r(w).\nAnswer: 2*w**3 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 1*4078\/12 - (-22)\/132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1083\/9 + ((-9)\/(-3))\/(-9). Let o be (1 + 0)\/(-1 + n\/114). What is the highest common divisor of o and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/3 + 21*v + 330 = 0. What is v?\nAnswer: -33, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q - 1 + 9*q**4 + 11*q - 8*q**4 in the form b*q**3 + f*q + s*q**4 + x + c*q**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 6*x + 5. Let u be f(7). Let k be 2\/(-3)*-3 + 5 + u. Suppose -7*g + 166 = k. What is the smallest common multiple of g and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6110\/3 + -32619\/16. Find the common denominator of z and 19\/4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p**2 - 6*p - 15. Is i(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 23 = -5*u. Let d be (u\/4)\/(3\/4). Suppose d*v - 42 = -2*f + 4, -5*v = f - 95. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(5\/2)\/(f**5\/f*f)*f**(4\/7)\/(f**(-1\/5)*f) assuming f is positive.\nAnswer: f**(-191\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxxx when four letters picked without replacement from {p: 5, x: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2 = -8. Let g = o + 6. Let m(j) = 2*j + 4*j - g*j. Let i(x) = -2*x. Calculate m(i(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 18*v + 3 - 2*v**2 - 7 in the form s + n*v**2 + u*v and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1417 times 0.011\nAnswer: 15.587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1359.4 - 1362. Which is the nearest to 3\/4? (a) f (b) -5 (c) 0.2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**4 + 49448*d**2 + 10*d - 15519?\nAnswer: 24*d**2 + 98896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*r - 11*r + 5 - 18 - 5*r**2.\nAnswer: -(r + 13)*(5*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 + -2) - (-1 + 19 - 15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j**2 - 85. Let f be u(-9). Let p = -2189\/5 - f. Is 52 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 462590*q**2 - q + 492878 wrt q.\nAnswer: 925180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1333 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/7 + -1 + (-1418736)\/(-18809). Solve -t = 13*q - 126 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 49 - 3088947*x + 3088945*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2*2\/4*-9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**4 - 4353348*y**3 + 2105730389826*y**2 - 339511824049999524*y - 1697611764053913645 = 0.\nAnswer: -5, 483707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 106451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-8))\/((d\/d**(1\/5))\/d)*d*d*d\/d**(2\/63)*d*d*d*d**(2\/7))**(-2\/15) assuming d is positive.\nAnswer: d**(344\/4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81835 + 142328. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 117*k - 280. Let q(n) = 31*n**2. What is w(q(c))?\nAnswer: 3627*c**2 - 280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 2328690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-27)*o*o\/o**(-3)*o**(-7)*o*o*o*(o\/((o\/(o**(-25)\/o)*o)\/o))\/o)**42 assuming o is positive.\nAnswer: o**(-2226)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 5)*(-f + f + 6*f)*(-6*f**2 + f**3 + 3 - 3*f**2 + 10*f**2 - f) to the form s*f + d + x*f**4 + q*f**2 + m*f**3 and give x.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48173\/136 - -2845\/8. What is the closest to -0.1 in r, -4, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*n + 7. Suppose 2*v + v - 1 = n*b, 5*b = 2*v + 4. What is the units digit of b\/9 + (-70)\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 275\/550*27\/(27\/(-146))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3497.33652 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (312\/(-18))\/((-4)\/6). Suppose 3*u + 11 = d. Suppose -7*o + 230 = -2*o - u*f, -3*o + f + 128 = 0. What are the prime factors of o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 232*j**2 + 347*j - 166. Is n(45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.15, 0.038, 49, 4, -0.2, 3, -2\/3?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 + -58. Suppose 3*n + 485 = -2*n. Let a = 29 - n. Calculate the greatest common factor of l and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171330, -683396, -1536828, -2731620, -4267766, -6145260, -8364096?\nAnswer: -10924268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -5. Suppose -68 = -4*c - c - 2*k, -5*c = k - 69. List the prime factors of (-18)\/(c\/(-4) - z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257773?\nAnswer: 19, 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*o = -12, 0 = 2*i + 4*o - 16. Solve 32 = -5*r + 4*v, i = -5*r - 4*v - 11 + 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y - 1. Determine b(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.05, 5079 in decreasing order.\nAnswer: 5079, 7, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 29.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95711 = -9*d - 239521. Let p be (d\/9)\/(1\/3). Let s = -124059\/10 - p. Find the common denominator of -43\/6 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 1713 = -5*l + 191*u, -5*l - 3*l + 6*l + 4*u - 17 - 15 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2. Let z(n) = 10*n**2 - 5*n + 5. Let g be 7\/(28\/16) - 2. Let x(p) = p**2 - p + 1. Let u(r) = g*z(r) - 10*x(r). What is y(u(k))?\nAnswer: -100*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2.49, -1\/2642?\nAnswer: -2.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*3 - (-5)\/5. Suppose z*j + 10 = 2*j. Let l be (-2)\/10 + (-11)\/j. What is the greatest common factor of 18 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-3 - -2) + 0. Let y = 80 - 65. Suppose p = v + 4*v + y. Put v, -5, 1 in ascending order.\nAnswer: -5, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.11 + 1.29. Which is bigger: 2\/9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13274?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -10. Suppose -5*b + 4*b = i. Let q be -1 + b + -10 + 16. Solve -3*d - 10 - q = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((108\/(-60))\/(-9))\/((-13)\/(325\/(-10))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 648374 (base 11) to base 14.\nAnswer: 1cd774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20.543 and 30.\nAnswer: 616.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 + 107. Suppose -2*t + g + 4 - 3 = 0, -5*t + 2*g + 4 = 0. Suppose 6*m = t*m + 260. Calculate the remainder when m is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = q + 2 + 1, f = -q + 13. Let z = q - 6. Solve 5*n = -c - 10, z*c - 6*n - 6 = -3*n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30662.03 meters in kilometers?\nAnswer: 30.66203","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: -326 divided by 326\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 8*o**2 + 6*o + 3. Determine g(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254.89203 months to decades.\nAnswer: 2.12410025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 1649 = -5*i. Calculate the remainder when i is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 54, 61, 68, 75, 82?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/45483 or 6\/19?\nAnswer: -2\/45483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130 + 128. Let u be b\/((-9)\/(189\/24)). What is the third smallest value in 0.1, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 306 + -303. Suppose -5*o + 4*s = -3269, 2*o + 649 = j*o - 2*s. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 - (-12)\/(-18). Let y be -2 - -6 - (-1)\/l. Solve 4*p = w + 18, 4*p + 6 = y*w + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 188820 - 188820.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 6 = -m. Let g be (m\/(-6))\/(1\/12). What is the units digit of (-6)\/18 - g\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15 and 3.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**4)\/z**(-11)*(z\/z**(-6\/13)*z)\/(z*z**(-9)) assuming z is positive.\nAnswer: z**(357\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 + 2.5. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0092 smaller than -1.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -376 >= -373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 5*a**2 + 1. Suppose 7*h - 2*h = 2*x - 1, 29 = 4*x - h. Suppose q - 3*o = -2*o + x, 4*q = 3*o + 29. Give u(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h - 3*d + 3, -2*h - 2*d = -6. Let t(z) = -2*z + 4. Calculate the remainder when t(-3) is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -b + 6*b. Let y(p) = -9*p**3 + 9*p**2 + 7*p + 9. Let o(t) = -8*t**3 + 8*t**2 + 6*t + 8. What is b*y(q) - 7*o(q)?\nAnswer: 2*q**3 - 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-13)\/12*-4)\/(2\/12). Find the first derivative of -2*h**2 + 5*h**2 + 11*h**2 + o wrt h.\nAnswer: 28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/15624 and 39\/308.\nAnswer: 171864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 14*a**2 + 18*a - 15. Let l(h) = 13*h - 94. Let j be l(6). What is the hundreds digit of y(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**2 - 9597692*i - 28793040 = 0.\nAnswer: -2399420, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 66166280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 1520.\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3134 divided by -16804?\nAnswer: 1567\/8402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 942 (b) -1 (c) -186 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r. Let l(x) = 17*x - 2. Give l(v(f)).\nAnswer: -34*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1131*w**3 - w**2 - 17*w + 18. Calculate i(1).\nAnswer: 1131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/636 and 33\/371.\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23031022 - -2?\nAnswer: 23031024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 7, -4, -33, -86?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (1 - 7) + 2 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 5*t**2 + 11*t + 20. Let s be a(7). Which is greater: 1\/243 or s?\nAnswer: 1\/243","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/21 + 7690\/35. Suppose 4*b - 220 = -0*r - 3*r, -2*r = 4*b - x. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (0 + 1 - -2 - 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8\/9)\/x**(-12))**(-15\/7) assuming x is positive.\nAnswer: x**(-500\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 84, 635, 2084, 4863, 9404, 16139, 25500, 37919?\n\"Answer: 72*d**3 + 17*d**2 - 4*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 33. Let v = d - -5. What is the nearest to -1 in -4\/7, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.501 - 21.501. Which is the fourth biggest value? (a) g (b) 0 (c) 0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2095871497.\nAnswer: 41, 51118817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*w + 17*w = -67*w + 39*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 21. Suppose 208 = 4*i + 4*y, j*y - 82 = -3*i + 74. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9954, 9960, 9966, 9972, 9978, 9984?\n\"Answer: 6*h + 9948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -525, -542, -569, -612, -677, -770, -897?\n\"Answer: -g**3 + g**2 - 13*g - 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**3 + 7*j**2 + j - 20. Let o(s) = 5*s**3 - s**2 + 3. Let n(h) = b(h) + o(h). Determine n(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 502*j - 232. Is 75 a factor of i(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/4879 and 12\/3157.\nAnswer: 53669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -16. Which is the closest to 1? (a) q (b) 0.5 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 203569267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.404 - 0.106. Let r = -61.51 - x. Let n = r + 57. Which is the second biggest value? (a) 0 (b) -13 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -14.3. Which is the second biggest value? (a) 0.4 (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-402)\/335)\/(((-3)\/20)\/(-1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46281342 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 360586 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20551.\nAnswer: 20551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 12*j**2 - 15*j + 1. Let z be d(-13). Suppose l - z = -10. Round l to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 380857*k**2. Let w(f) = 14*f. What is x(w(n))?\nAnswer: 74647972*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 27 - 133 = 8 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 minus -0.19?\nAnswer: -1.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - (-510)\/25)\/(2\/10). Suppose -5*c + 53 = -7. Calculate the highest common divisor of f and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 14*t**3 - 2*t**2 - 2*t - 1. What is n(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 174.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 174260.220218 + -174258. Let y = r + -2.22. What is y rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 19, 75, 185, 367?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -2. Let k(u) = u + v*u - u. Let d(j) = -6*j**2. Give d(k(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95780\/83 - -1154. Does 1 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 2681*w + 1796520.\nAnswer: (w - 1361)*(w - 1320)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1562000 to the nearest 10000.\nAnswer: 1560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 20 = -3*j + 3, -9*b - 2*j - 22 + 18 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10802)\/(-1964))\/((-2)\/8).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.9, 37, 89\/4 in ascending order.\nAnswer: -5, -0.9, 89\/4, 37","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6782066 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29237574.\nAnswer: 2, 3, 4872929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)*-2 - sqrt(432))*2 - (sqrt(60)\/(sqrt(5)*2) + (sqrt(12) - (1*sqrt(192) - sqrt(192)))))\/(5*4*(-1*(sqrt(196)*-2 + sqrt(196)) + sqrt(196))).\nAnswer: -15*sqrt(3)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*k + v + 4 = -93*k, -2*v - 4 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2262, -4532, -6816, -9120, -11450, -13812, -16212, -18656?\nAnswer: -21150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7835190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 7*u + 0*u + 17.\nAnswer: 7*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.1 - 2.1. Put 0, k, -1 in decreasing order.\nAnswer: k, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k + 4. Let q = -1 + 0. Let f(o) be the third derivative of 1\/6*o**3 + o**2 + 1\/24*o**4 + 0 + 0*o. What is q*l(r) + 4*f(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 - 103. Let q = 2 + -1. Let p be 2 - ((-26)\/(-8) - 2). Which is the second smallest value? (a) p (b) q (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/8 + -2 + 2 + -2. Solve 0 = 2*a - i - p, 3*a + 1 = -5*i - 14 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h - 9 + 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*w - 5, w + g = 3*w - 4. Suppose -w*z + 6 = -3. Solve -2*x + z = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 56 - 28 - 3*f - 17. Let g(c) = 2 - 2*c - 4 + 2. Give g(z(y)).\nAnswer: 6*y - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1713, 3487, 5371, 7419, 9685, 12223, 15087?\n\"Answer: 9*d**3 + d**2 + 1708*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) - (sqrt(42) + (sqrt(294) - (sqrt(294) - 3*sqrt(294)))\/sqrt(7)))\/(sqrt(486) + sqrt(54)))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 1, -5, -4, 23.\nAnswer: -17, -5, -4, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 3 + 36*q - 35*q - 3.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 359839211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, -3\/10, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 267377504 to the power of 1\/2, to the nearest integer?\nAnswer: 16352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 + o**2 - 6*o - 14. Let m be z(-2). Solve -m*b = -20*b + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 961259344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*m = -9, 2*z + 3*m = -2*z + 5. Determine j so that j + z*j + 6*j**4 + 30*j**3 - 15*j**3 + 12*j**2 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 6.2, 22, -6 in increasing order.\nAnswer: -6, -2\/17, 6.2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6329\/11 - -576. Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 6*y**2 + 2*y - 6. Determine r(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 619, 1246, 1875, 2506, 3139, 3774?\n\"Answer: k**2 + 624*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(98) + 1)**2 + 2*(-3 + sqrt(98) + sqrt(98)*1)**2.\nAnswer: -140*sqrt(2) + 906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 5, 1.44, -11.296?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.8 - -4. Let x = g - 0.208. Let n = 0 - x. Round n to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Let g(d) = d. Let v(m) = g(m) - 2*p(m). Suppose -3*a = -2*q + 20, 2*a - 4*q + 20 = -q. Let k(l) = 3*l - 1. Determine a*v(u) - k(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -43 - 1\/5*q**2 + 1\/10*q**4 - 1\/15*q**3 + 1\/25*q**5 + 0*q. Suppose w(z) = 0. What is z?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3737.00000443 + 3737. What is o rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 f when four letters picked without replacement from ffffqfqqfff?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -956\/7 <= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3689 - -3691. Let o(w) be the second derivative of 1\/7*w**t - 1\/140*w**5 + 0 - 5\/42*w**3 + 16*w + 1\/21*w**4. Factor o(l).\nAnswer: -(l - 2)*(l - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a7 - -14?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 6\/92849, -0.1, -2\/9, 1, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1500*u*z**3 - 2*u*z + u + 1004*z**3 wrt u?\nAnswer: -1500*z**3 - 2*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 144141214 (base 5) to base 9\nAnswer: 1405178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -17*j + 356. Let f be i(21). Let q = -1\/2 - 1. Let p = -720\/1309 - 4\/187. Which is the second smallest value? (a) q (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 561091610 to the nearest 100000.\nAnswer: 561100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1244*s**6 + 9*s**2 + 15*s.\nAnswer: 149280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 15*v**5\/2 - 2*v**4 - 45*v**3\/2 + 21*v**2 - 4*v = 0.\nAnswer: -2, 0, 4\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 3 - 27)*(-9 + 2 - 2)*(6 - 3 - 1)*(0*w - w + 3*w)*(-3*w - 4*w - 2*w) to m + n*w + k*w**2 and give k.\nAnswer: -11340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -506, -511, -518, -527?\n\"Answer: -j**2 - 2*j - 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 270 - 93. Let t = -37499297.62 - -37499120.62000179. Let h = m + t. What is h rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664194 is divided by 8566.\nAnswer: 4612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/4 + 2999235*v - 2998470195075.\nAnswer: -3*(v - 1999490)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 7. Find the common denominator of (-3)\/18*152\/y and -63\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**5 - 706 + 686425*t**2 - 686425*t**2)*(0 - 2 + 1).\nAnswer: 2*t**5 + 706","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 36.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 4*y**2 - 2*y. Let w = -4 + 6. Suppose -g = w + 1. What is t(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*g - 100, -g - g + 500 = 5*x. Let q = -221\/24 - -31\/3. Calculate the common denominator of (4\/x)\/((-4)\/490) and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 0 + 4*(sqrt(2736) + -1 + sqrt(2736))*4)*-6)**2.\nAnswer: -442368*sqrt(19) + 100869120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2289 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2. Let w(p) = 631316442*p. Determine b(w(m)).\nAnswer: 398560449939539364*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from yqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1579968 divided by -8?\nAnswer: 197496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 6:56 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 16*i**5\/5 + i**2 + 3. What is the second derivative of m(w) wrt w?\nAnswer: 192*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*a + 15 - 51 = 0. Sort a, 2, 3, 7 in increasing order.\nAnswer: a, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 36. Let y(c) = c**3 - c**2 + 4. Let b be y(0). Solve -3 = m*i - b*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 2*a + 806 - 813, -11 = -2*s - 3*a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/1026 - 50\/(-1080).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 275, 298, 345, 428, 559, 750, 1013?\n\"Answer: 2*u**3 + 9*u + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -135.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 145781428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 192365865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3\/3 + 1072*b**2\/3 + 3862*b + 6300 = 0 for b.\nAnswer: -525, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34507*d**2 + 59707*d wrt d?\nAnswer: 69014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 62, 191, 444, 863?\nAnswer: 1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -2 (c) -5 (d) -1968\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -66 - (45 + -104 + 42).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 5*w - 11, -5*o - w - 2*w = 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-36)\/(-28))\/(-9))\/(((-67)\/201)\/(707\/(-3)))?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 187?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*s + 5302, 5*z - 8*s = -3*s + 6625. List the prime factors of z.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 8*m + 4. Let y be v(-8). Find the third derivative of 7*i**2 - 4*i**2 - 6*i**2 + y*i**2 - i**5 wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 2237*d + 2228*d + 0 - 7.\nAnswer: -9*d - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (-4 - -19) - -15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 5*p**2 - 8*p - 4. Calculate z(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*k**6 + 863*k**2 - 862*k**2 + 54 + 1 wrt k.\nAnswer: 6240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80*z**3 - 3771341*z**2 - 2*z + 260962919 wrt z.\nAnswer: 240*z**2 - 7542682*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r**(1\/8)\/r)\/r)\/r)**(1\/5) assuming r is positive.\nAnswer: r**(-3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((5*(sqrt(1573) - (sqrt(1573) + sqrt(1573)*-1)*-6) + (sqrt(13) + -2)*5 + sqrt(39)\/sqrt(75))**2 + -1).\nAnswer: -1180288\/25 + 1204*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-11)*3\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t - 145. Calculate i(34).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -1\/475 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.21 - 0.21. Let v be -2*((-12)\/(-30) + 3\/(-30)). Sort v, l, 4.\nAnswer: v, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 0 + 1\/9*z**4 + 0*z**2 + 2\/45*z**6 - 1\/18*z**3 - 1\/10*z**5 - 2*z - 1\/126*z**7. Factor d(w).\nAnswer: -w*(w - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/28)\/(2\/(-7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 493350 - -4?\nAnswer: 493354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l**3 - 13 + 13)*(-7*l + 71*l + 66*l) - 2*l**4 + 3*l**4 + l**4 as u*l**2 + h*l + t*l**4 + r + j*l**3 and give t.\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*q - 169*q - 678. Let b(h) = -h**2 - 3*h + 2. Give b(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from rrhrpmcprrrcph.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 60a384 - 4?\nAnswer: 60a380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/2)\/((-1425)\/(-285)))\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 1\/60*r**4 - 1\/50*r**5 + 1\/175*r**7 + 8*r**2 + 0*r**3 + 0 + 0*r - 1\/672*r**8 + 1\/1200*r**6. Solve k(c) = 0 for c.\nAnswer: -1, 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 1\/2, 56, -9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7910940.9 rounded to the nearest 1000?\nAnswer: 7911000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzc when three letters picked without replacement from tpgtgtgcgtgzg?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 305*w**3 - 7*w - 412. Let o(t) = -152*t**3 + 3*t + 198. Let y(k) = -14*o(k) - 6*x(k). What is the derivative of y(f) wrt f?\nAnswer: 894*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12078 - 11412. Calculate the remainder when a is divided by 341.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -24 - 52 - -16?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((4 - -3) + (-8 - -8)) - 13.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + z + 10 = 0, 5*l - 11 + 1 = -5*z. Let y = l + 12. Is 9 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 {l: 8, p: 2}. Give prob of picking 1 p and 3 l.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14, 14, 6, -10, -34?\n\"Answer: -4*c**2 + 12*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 447 + -407. Let v(t) = -t**3 + 4*t**2 - 40 + 5*t**3 + x. Let h(n) = -11*n**3 - 12*n**2. Give 3*h(o) + 8*v(o).\nAnswer: -o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 8:48 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1084*4\/16 + 6\/(-2). Let a = i + -186. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 358.605 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 334 = 3*h, 0*h + v = -5*h + 556. Suppose l = -h + 375. Suppose -6*u + l = -4*u. What is the highest common factor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (34\/36 - 1)*-15. Let p = -4 - -8. Let y = 124\/3 + -42. Which is the nearest to y? (a) g (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*w**2 + 27*w**2 + 46*w - 46*w as f + p*w**2 + s*w and give p.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53262.\nAnswer: 2, 3, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 5*k - 97, -5*w - 146 = 3*k + 87. Which is the third smallest value? (a) 5 (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/5)\/(-19*(-9)\/1026)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 752365373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/11, -28225, 4, 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -604 - -646. Suppose -m + 31 = 5*o - 9, 3*o - 3*m = d. Solve o*z = 12*z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/9367194 and 41\/8?\nAnswer: 37468776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32066*p - 32214*p + 3848 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from jqqqqqjqq.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.8 - -2.8. Suppose -o + 18 = -5*w, 2*w + 6 + 4 = -o. Which is the closest to o? (a) 4 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 213491 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -38449, 1 in descending order.\nAnswer: 1, -4, -38449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 6:19 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-112))\/(7\/(-12))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 39*j + 1. Let b(u) = 2077*u - 1000. Let m(c) = b(c) + 6*r(c). What is the derivative of m(h) wrt h?\nAnswer: 2311","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3180170.7 to the nearest one thousand.\nAnswer: 3180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 7 + 6 + 3 + 7*l.\nAnswer: 7*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 31. Suppose -4 = -4*p + i. What is the highest common divisor of p and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**3 + 13*v**2 + 292*v - 878. What is n(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*g**2 + 11*g**2 - 5*g + 3*g + g to r*g + c + n*g**2 and give n.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2. Let j(c) be the third derivative of c**6\/720 - c**4\/12 - c**2. Let i(p) be the second derivative of j(p). Calculate s(i(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5924508.\nAnswer: 2, 3, 493709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 2*r - 1. Let v be m(-1). Let z = v - 0. Suppose -p - 1 = 0, 2*p - 40 = -z*c - 8. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -206 * -0.0965718\nAnswer: 19.8937908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3407 - 3362. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 16 - 4. Suppose 0 = 238*d - 247*d + 3 + 69. Solve -m*t + d = -8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80990220 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 23. Suppose -n - u = -5*y, 3*n + 2 - 32 = -3*y. Let j(l) = -l**3 + 4*l**2 - 6*l. Let f(x) = x**3 - 5*x**2 + 7*x. Determine y*f(b) + 6*j(b).\nAnswer: -b**3 - b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 411178523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8.10276229 + 36\nAnswer: 27.89723771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(45\/14) + 4\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, y: 2}. What is prob of sequence vv?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29.8 - -28.7. Let o = -2.4 + 2.5. Let m = o + t. Which is the second biggest value? (a) m (b) 3 (c) 0.2 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 - 3*z**2 + 5*z - 2. Does 20 divide u(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000512 rounded to five decimal places?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1010a (base 11) to base 7\nAnswer: -61032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 1, l: 2, r: 1, b: 2, a: 1}. What is prob of picking 1 h and 1 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (306\/68)\/((-1)\/(-2)). Calculate the highest common divisor of 333 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1 - (-5 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0962*0.91\nAnswer: -0.087542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-15)*(-537)\/(-2). Suppose 4*t + 0*t - 285 = 5*c, 135 = 2*t - 5*c. Let g = j - t. Calculate the common denominator of -29\/3 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + 4*x - 4*x)*(2 - 1 + 0) + (x + 4*x - 4*x)*(1 - 1 - 2) - x - 3*x + 5*x + 1004 + 298*x - 1004 to z*x + f and give z.\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49374566 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 5*q**2 - 13*q + 21. Let a be o(-6). Calculate the greatest common factor of 90 and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g + g - 4*g)*(g**2 - 2*g**2 + 8*g**2)*(g - 3*g + 3*g).\nAnswer: 28*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = -10*g + 164 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 2*z**6\/21 - 101*z**5\/140 + 37*z**4\/21 - 79*z**3\/42 + 6*z**2\/7 + 3*z - 3585. Determine n, given that f(n) = 0.\nAnswer: 1\/4, 4\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + (-1)\/(-4))*-4. Suppose 2*g - 5*b = 19, -4*b = -3*b + c. What is the third derivative of -688*m**3 - 8*m**2 - 10*m**g + 705*m**3 wrt m?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10441 is divided by 4661.\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and -0.03.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 + f. Let a = -18 - -23. Let i be j(a). Let k = 57 + i. What is the lowest common multiple of k and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 0*u - 5. Let o(v) = v**2 - 8*v + 6. Calculate o(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1812069 is divided by 643.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-117) - (-3 + 4472\/1668)?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3077?\nAnswer: 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 497 and 1043.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 45, 82, 119?\n\"Answer: 37*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 15) to base 11\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 2*y - 52. Let a be (-4)\/10 - y\/(-10). Let n(q) = 2*q**2 - 9*q - 19. Let p(g) = -g**2 + 4*g + 9. Let r(z) = 6*n(z) + 13*p(z). Give r(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 - 31*i**2 + 92*i - 39. Calculate v(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -21 + (19 - (11 - 9) - 13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 2 = -2*q - 2*d, 3*q + 3 = 4*d. Let j be -1 + 4\/2 - q. What is the second derivative of 2*c**2 + 2*c - 4*c + 3*c**2 - 4*c**j wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*a - a = 87, -h - 5*a = 78. Let m = -47 - h. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - 3 + 4 + 10*s**3 + s**2 - 5*s**3 to the form l*s**2 + i + z*s**3 + m*s and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28288482*f - 14144236*f - 14144237*f.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 32 = -7*t, -3 = 4*x + 5*t + 21 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**5 - 3*q**5 + 4*q**5)*(-1 - 3 + 2) - 15*q + 3*q**5 + q**2 + 36*q - 4*q**2.\nAnswer: 13*q**5 - 3*q**2 + 21*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1005906 rounded to three decimal places?\nAnswer: 0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 4703 = 9766. Let j = 0 - -3. Suppose -z - 1152 = -j*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 25. Let v be k(10). Let l(t) = 6*t**2 - t. Let f be l(3). Let o be (-1*3\/9)\/((-1)\/f). Which is smaller: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 0*h**3 + 14\/3*h**4 + 0*h**2 - 1\/4*h**5 + 2*h + 2\/5*h**6 - 51. Find the third derivative of d(y) wrt y.\nAnswer: 288*y - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h + 5. Let b(p) = 7*p - 5. Let m be (0 - (1 + -3))*1. Let g(w) = -33*w + m + 12 + 13*w. Let u(i) = -17*b(i) - 6*g(i). Calculate t(n) - 5*u(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6587 - -6586.5. What is the closest to 45 in -0.4, -0.1, -5, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -26604 + 2922*x**2 + 26604. Let d(i) = 3*i. Determine d(p(z)).\nAnswer: 8766*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 8) to base 16.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 299 and 151984414.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/1)\/(92\/69) + 2945 + -7. Solve 2929*f - h*f + 24 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29.10444 and -0.08.\nAnswer: 2.3283552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 - -151. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*y + 6 = 3*u, 4*u = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/5*(-20)\/2. Let s = -318580\/13041 - -1\/1863. Does q = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n + 2. Let d(p) = p**2 - 3*p - 3. Let a(i) = 3*c(i) + 2*d(i). Let h(u) = -9*u**2. Give a(h(o)).\nAnswer: 162*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -34575*d - 25. Let k be m(-7). What is k rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5881830 - -36?\nAnswer: 5881866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -x - 303572 + 303589, 4*x - 38 = -6*o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 6 = -2*u, -3*z - 2*u + 18 = u. Let m(x) = z*x**3 - 33*x + 27*x - 6*x**2 - 7 - x**3. Give m(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 4*z**2 + z. Let j be p(-3). Let b(s) = -7*s + 1. Let x(n) = 8*n + 1. Let l(a) = 8*a + 2. Let w(d) = 2*l(d) - 3*x(d). Give j*w(f) - 7*b(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -35*d - 243. Let g be v(-7). Let o(s) = s**3 - 2*s**2 - 2*s - 3. What is o(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1213316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*((sqrt(275) + (sqrt(275) + 2 + sqrt(275) - sqrt(275) - sqrt(275)) + -1)**2 - (0 + sqrt(275))*-3) + -4.\nAnswer: 100*sqrt(11) + 1105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35.4 - 34. Let o = -0.6 + p. Sort -0.4, 0.3, o in ascending order.\nAnswer: -0.4, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23859 divided by 35501\nAnswer: 23859\/35501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*u + 14 = 0, -6*i + 4*i + 2*u + 16 = 0. Solve -6*p = -4*x - i*p + 10, -2 = p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115291.290927 minus 3?\nAnswer: -115294.290927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 131*k - 697*k - 2029 - 813, z - 3*k = 15 + 12 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453614?\nAnswer: 2, 7, 32401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -138, -170, -152, -66?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2548471*r + 0*r**4 + 2547118*r + r**4)*(-3*r + 2*r + 2*r) + (7 - 7 - 2*r**4)*(4 - 4 + r).\nAnswer: -r**5 - 1353*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -379.39 and 0.5251862.\nAnswer: -378.8648138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 3, -2, -4, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - g**2 - g + 1. Let x(p) = -4*p**3 - 2*p - 3 + 752*p**2 + 1 - 753*p**2 + 2*p. Determine 2*k(o) + x(o).\nAnswer: -2*o**3 - 3*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -8*y + 6 - y**2 + 2*y**2 + 4*y + y. Let a be o(2). Solve -42*h**5 + 1572*h**3 - 3*h**2 + 6*h + 0*h**4 + 93*h**a - 1626*h**3 = 0 for h.\nAnswer: -2\/7, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -32 (b) -0.1 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 41*h**2 + h + 1. Determine t(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895476 is divided by 298458.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*g - 212. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -9569*(-4 + 234\/63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(6 + -1))\/1. Let q be 4\/(-2)*1*-3. Let k(w) = 4*w + a*w + w - q*w. Let t(b) = -15*b**2. Calculate t(k(m)).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-1 + -39 - (62 - 34 - 26))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25\/12 - 11\/4. Calculate the common denominator of c and -3\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114909, -115054, -115313, -115686, -116173, -116774?\nAnswer: -117489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 6 = 2*x. Suppose 2*z = -b + 2, 2*b = -x*z + 1 + 1. Sort 2\/3, b, -3 in descending order.\nAnswer: 2\/3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000043862 rounded to 6 decimal places?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/328?\nAnswer: -1\/328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/300*-35)\/(((-310)\/30)\/(-31))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 - (42 - (-12 - -41))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 4 + (4 - 3 - 2)*(-2 + 1 - 1))*(42 - 42 - 18*a**2)*(-2 + 2 - a) in the form v*a + u*a**2 + n*a**3 + p and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/9 + 4*c**2\/3 + 50*c\/9 + 4 = 0. What is c?\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 130*x**2 - x. Let p(d) = d**2 - 11*d + 1. Let v be p(11). Let n be (-2)\/(4*v\/2). Is i(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -8. Let r(g) = -g**3 + 4*g**2 + 5. What is the least common multiple of r(4) and (2\/y)\/((-4)\/36)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143591472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -10. Let c = 6.2 - z. Let k = 0.8 + c. What is the third smallest value in k, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -9. Suppose 0*l + 5 = 5*n + l, -2*l = -q*n + 5. Solve 2*g - n = 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(64) + -3*sqrt(64)))\/(sqrt(32)*3).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4220200, -8440399, -12660598?\n\"Answer: -4220199*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 608 and 2774?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbjb when four letters picked without replacement from {b: 2, m: 1, j: 2, x: 2, f: 8}.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2*z = -211 + 241 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0528, -5, -1\/7, 1 in descending order.\nAnswer: 1, -0.0528, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 7*a**2 - 3*a - 7. Calculate h(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/131 - 128\/393. Let q = -0.34 - -0.3. Which is the biggest value? (a) s (b) q (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 11 + 99577*q**2 - 29.\nAnswer: 99577*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 3*d + 2*p, 84 = 5*d + p + 2*p. Let q be -1 + (d\/2)\/5. Let w(y) = -y**2 - y + 3. Let f be w(-3). What is the closest to 0.1 in q, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*l - 122*l - 5314 + 2858 = 7813 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18424417 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 - -32. Let d = -13 - u. Which is greater: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 149 + 136 - 285.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 6:30 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59 - 198*a**2 - a**2 - 28*a**2 wrt a.\nAnswer: -454*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x - 28. Let y be k(6). Solve -5*d + 8 - 3 = y*g, 2*d + 22 = 4*g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - u**2 + u + 30. Suppose -2463 + 2445 = -v. Calculate the smallest common multiple of b(0) and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*j. Let s = j - -4. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3889887, 3889886, 3889885, 3889884?\nAnswer: 3889883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*c**2*f + 2389*c**2*j**3*w + 2*c**2*j**2*w + 6*c*f*j**2*w + 75*c*f*w - c*j**3*w + 19*c*j**2 wrt c.\nAnswer: -78*f + 4778*j**3*w + 4*j**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39546 and 4394.\nAnswer: 39546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.05, -0.04, -3, 23, -47?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 7. Let z = 0 + m. Let x(w) = -w**3 - w. Let p(y) = -7*y**3 - 3*y**2 - 5*y. Let b(l) = z*p(l) + 5*x(l). Find the third derivative of b(c) wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 17*d + 68. Suppose -5*z + 18 = -2. What is the lowest common multiple of w(-11) and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 490273.53 to the nearest 1000.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d - 740 = -34*d + 520 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-23))\/(n*n*n\/(n*n*n**(-1\/3)*n*n)))\/(n**(18\/5)\/(((n\/n**4*n)\/n)\/n*n)))**38 assuming n is positive.\nAnswer: n**(10298\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 6*f**2 - 11*f + 2. Let r be g(-4). Suppose 5*y = -4*s - 31, -2*y + 8*s = 3*s - r. Which is the nearest to y? (a) 4 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxxx. Give prob of sequence xx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00158 to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81 + 81.00107. Round x to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.55688 nanometers in centimeters?\nAnswer: 0.000002455688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-68)*((-1956)\/11 - (-33)\/(2178\/(-12)))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 120a - b29?\nAnswer: 5d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3856987, -3856997, -3857021, -3857065, -3857135?\n\"Answer: -m**3 - m**2 - 3856985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000311331 (base 4) to base 12.\nAnswer: -109851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 4.653.\nAnswer: 6.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -395?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 2163*s - 29656. Determine p(14).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55664233736 - -0.37.\nAnswer: -55664233735.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-90)\/75)\/(2\/(-80)). Let f be 1206\/30 + 1\/(-5). Let t = i - f. What is the highest common divisor of 10 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.467 and 8321481.4.\nAnswer: 8321480.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/956298 and -32\/3028277?\nAnswer: 18169662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604392.4 plus -691.37?\nAnswer: 1603701.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3016837 is divided by 158?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*a, -5*v + 201091 = 7*a + 201127 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32161 - 35004. Which is smaller: -2841 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:15 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, 1, -18, 5, -7 in descending order.\nAnswer: 10, 5, 1, 0, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l - 4. Let s(i) = -13*i - 15. Let w(k) = -9*g(k) + 2*s(k). Let z be w(-6). Factor z + 2\/7*q**2 + 0*q - 2\/7*q**4 + 0*q**3.\nAnswer: -2*q**2*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = m - 2*m - 133, 2*w + 2*m = -94. Let s = w + 52. Suppose -10 = 4*h - 3*i, h - 2*h = 5*i - s. Is h at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156456893 minus 1?\nAnswer: -156456894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3240*n**3 + 166796*n**2 + 440696*n + 8640 = 0?\nAnswer: -5\/2, -8\/405, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2037 + -2035. Calculate the lowest common multiple of 534 and k.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 853*w + 83566. Determine i(155).\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - 586119?\nAnswer: -58612a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 2:18 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*x - x + 17, 0 = -2*x + 2*n - 12. What is the remainder when x - 2*(-17 + 4) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7 = -1. Suppose 4*q - p - 6 = 0. Suppose q*k + 336270 = 11336270. Round k to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 + o**4 + 7*o**2 + 0*o**2 + (o**3 - o**3 + o**3)*(-3*o + o + 0*o) - 2*o**4 + 4*o**4 - o**4 as j*o**2 + k*o**3 + b*o + r*o**4 + n and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 10051.67us?\nAnswer: 10051670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 548\/13 or 41?\nAnswer: 548\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -110.278 and 188440862.\nAnswer: 188440751.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z**3 - 5*z**2 + 9*z - 19. Let u be c(3). Are -199 and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1844 - -649. Let c = l - -1033.08. Let j = c + 159. What is j rounded to one dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007536 to six decimal places.\nAnswer: 0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 20, 0.3, -5, -4 in decreasing order.\nAnswer: 20, 0.3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1813, 3357, 4901, 6445, 7989?\nAnswer: 9533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12465\/7 + 1781. Let f = -2 + 3. Put f, 0.2, x in ascending order.\nAnswer: 0.2, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 13*v**2 - 12*v. Let y be b(-12). Put -33, -4, y, 2 in increasing order.\nAnswer: -33, -4, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, t: 5, z: 3}. Give prob of sequence zttz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l - 13. Let d(v) = 8*v + 13. Let u(f) = 6*d(f) + 5*x(f). Calculate the remainder when u(11) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 10 = 24. Suppose 2*a + 306 = -2*s, 547 - 81 = -3*s + 4*a. Let i be s\/(-5049) - o\/(-17). Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1162085 and 740.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 32\/5 of a hour?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10 + 2*(-1)\/5*-10. Let g(p) = p**3 + 4*p**2 - 14*p - 8. Let w be g(v). Solve -w + 3 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 8*h**2 + h + 8. Let n(p) = p**3 - 7*p**2 - p - 7. Let y(z) = 4*n(z) + 3*o(z). What is y(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16464 + 2618 = -1610*z - 30828 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.31071 - 0.18661. Round k to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(4\/2)*(264\/(-90))\/(-22)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*p + 49*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -525*r + 76558. Give h(145).\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 14*q**2 - 3*q + 1. Let w(x) = 23*x**2 - 36*x - 23. Let l(o) = 2*k(o) - w(o). Factor l(c).\nAnswer: 5*(c + 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = k - 2*u, k = -u - 4*u - 1. Suppose 0*c + k*c - 8 = 0. Let i(f) = f**2 + 13*f - 12. Let y be i(-14). Solve -3*s + 12 = 0, -c*t + s = y*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-1 + (-7)\/(-3)). Suppose 16 = -k*a, -3*a = g + a - 140. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 19. Let x(j) = -4*j**2 - 4 + 4*j**3 - 9*j**3 - 2*j + 4*j**3. Let a be x(-4). Solve 0 = a*h - 2*l + 10, 0 = -3*h - l + o - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2. Let j(l) be the second derivative of 2*l - 28\/3*l**3 + 0*l**2 + 29. Calculate j(i(w)).\nAnswer: 112*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 4. Let a be 3 + (34 - (-4)\/1). Suppose 4*r = t + a, -r - 4*t = -2*r - 1. Solve 0*z - 4*z = -3*k - v, 4*z - r = -3*k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 128, -1\/4, -56, -1\/7?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*1\/(12\/40) + 2. Let p(q) = -2*q + 1. Let h be p(4). Is h < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 2)*-3 - (4*(sqrt(304) + 3))**2 - (2*sqrt(114)*-4)\/((3*sqrt(18))\/sqrt(3)).\nAnswer: -5014 - 1162*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + 42 - 6) + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -15*k - 20. Let c(o) = -14*o - 21. Suppose -4 = f + f, 0 = -5*d - 4*f + 7. Let a(z) = d*c(z) - 2*v(z). Differentiate a(l) with respect to l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 3*b - 22 + 50 = 0, 3*g + g + 8 = -2*b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1638207*v**3 + 2865. Let d(l) = 1144*l**3 - 2. Calculate 2865*d(h) + 2*w(h).\nAnswer: 1146*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2977 + -2972. What is the fourth smallest value in q, 35, -5, 0.26?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 416*n - 418*n + 3062. Suppose 2*x + 4*z = 504, z + 280 = -5*x + n. Is x a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - t. Let g(b) = 48*b**2 - 44*b. Calculate -4*g(l) + 176*v(l).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19239480 by 2404935.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5313124255 + 1?\nAnswer: -5313124254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(5\/(-50)))\/((-35)\/14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35970481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + y + 0 + 6 + 114 - 120.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h**2 + 91*h - 82. Let b(q) = 3*q**2 + 31*q - 27. Let p(v) = -17*b(v) + 6*j(v). Let c be p(2). Solve -13*i + c*i - 16 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b - 3*b + 6*b + 4*b + b - 2*b + (3 - 4 + 2)*(-b + 4 - 4) to the form l*b + q and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 6. Let k be (-1)\/2*(-4)\/(-7). What is the nearest to k in -0.1, 4, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.33 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n**2 - 15*n**2 + 6*n**2 + 5*n**2 - 2 in the form z*n**2 + v + a*n and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 569 - 573. What is the smallest value in -0.5, 0.06, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 709070 and 130?\nAnswer: 9217910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117*f**2*t**3 + 11*f**2*t**2*z**2 + 1510*f*t**3*z + f*t**2*z**2 - 6*t**2 wrt f?\nAnswer: 234*t**3 + 22*t**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 75, 151, 225, 297?\n\"Answer: -r**2 + 79*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6100, 7721.\nAnswer: -6100, -3, 7721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 7)*(-8*o - 13*o + 13*o + (-1 + 1 + 2*o)*(-3 + 1 - 3)) + (2*o - 3*o + 2*o)*(3 - 5 + 0).\nAnswer: -92*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 164\/6 - 3\/9. Suppose -l + o = -5*s, -2*l - 2*l = -s - 108. What is the tens digit of 3\/l*3*57?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(57)\/(sqrt(15)\/sqrt(5)) + -4*sqrt(76))**2 + (sqrt(57) + (sqrt(57) - (sqrt(57) - 4*sqrt(57)*1)))\/(sqrt(192)*1)*3.\nAnswer: -321*sqrt(19)\/8 + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1111*j + 182542 - 48352 = -6302*j - 1533*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 117, 124, 145, 186?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 8:48 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 2 + (-11 - -21) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 258020985?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*a + v + 502 = 94, v - 3 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - b + 0*b + 9 = 0, -13*b + 35 = -8*b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 524856, 524855, 524854, 524853, 524852, 524851?\n\"Answer: -m + 524857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1 = 3*x + 26, 4*x = 0. Sort -5, o, 2 in ascending order.\nAnswer: -5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -5 (c) -0.3 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118540771*f**3 - 333564052*f wrt f?\nAnswer: 711244626*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*c - 10. Suppose -2*d = -c*p, 5*d - p - 13 = -4*p. Find the first derivative of 2 + 0*f**2 + f**3 + f**2 - f**d wrt f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 3\/5 + (-24)\/40. Suppose -i + 10 = -4*a, 3*a = -0*i - g*i - 2. What is the nearest to a in -2\/13, -15, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 - 1) - (-2 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4382 is divided by 1368.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7158*k - 2161722. What is u(-302)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -3.91\nAnswer: -12.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.075 and -4.67992?\nAnswer: -0.350994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -781.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 2. Let d be r(-5). Suppose 2*x = 4*x + d*f + 11, 4*x + 2*f = -2. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 c when four letters picked without replacement from {v: 9, i: 2, c: 8}.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4) + -3 + (9 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -61, 6830, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 11. Let m be s(-15). Sort m, 1, -13 in descending order.\nAnswer: 1, m, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 - 9*z**5 - 6*z**5 + 2*z**5 - 2 + 2 + z**5 + 2*z**5 - 5*z**5 + (-3*z**4 + 6*z**4 - z**4)*(2*z - 4*z + 0*z).\nAnswer: -18*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*f**3 + 0 + 2\/11*f**2 + 0*f.\nAnswer: 2*f**2*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/16*-1*6\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 353469 to the power of 1\/2, to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/((-18)\/(-99)*-1). Calculate the highest common factor of b and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324112872.\nAnswer: 2, 3, 23, 41, 14321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 181 = -11*f + 12*f, 4*f + 3*c - 659 = 0. Let w = -154 + f. What is the remainder when 67 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/24 - (-795)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orrrroroherirreereo. Give prob of sequence riei.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 667 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/368 and -23\/64.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18966209 is divided by 9483075.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - x + 8 = 0, -2 = -5*q + 2*x + 4. Let v(b) = 2*b + 1. Let l be v(5). Solve -31 = -5*n - q*w, w = -n + l - 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20557 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: Which is smaller: -23393395 or -23393403?\nAnswer: -23393403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 117 = -30. Let m(v) = v**3 - 3*v**2 + 28*v - 81. Let c be m(n). Solve k - 10 = 8*t - c*t, t = 3*k - 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 828*r. Let p(f) = -2*f + 4. Give p(v(m)).\nAnswer: -1656*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 4. Let y be (-2)\/(-2) + -3 + k. Let t = -1.3 + -3.7. Put y, 0, t in descending order.\nAnswer: 0, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27071500*h**2*i**3 - 2*h**2*i**2 + 3*h**2*i + 2*h - 1563*i**2 wrt i.\nAnswer: -162429000*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1185981020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 604, 1209, 1814, 2419, 3024?\n\"Answer: 605*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*m - 12752*m**3 + 216*m + 12172*m**3.\nAnswer: -580*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**3 + p**3 + 2*p**2 + p + 0 + 3*p + 7. Let m(c) = -2*c**3 - 52*c**2 - 2*c + 1 + 51*c**2 - 5. Determine 4*l(y) + 7*m(y).\nAnswer: 2*y**3 + y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -42 + 106. Solve -x + 1 = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - z - 13 - 18 + 23.\nAnswer: -z - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 4. Let i be z(-1). Which is the biggest value? (a) 1\/4 (b) -5 (c) i (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127882735?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*c**4 - 10*c**4 - 21*c**4 + (2*c - 2*c + 3*c)*(2*c - 2 - 1 + 5)*(3*c + 2*c**2 - 3*c).\nAnswer: 3*c**4 + 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170226559\/20812 + -32717\/4. Let t = r + 208102\/46827. Calculate the common denominator of (-2)\/(-6)*1 + 16 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 8, 0, -4, -5, -1, 274.\nAnswer: -5, -4, -1, 0, 8, 12, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*f = 153*f - 6*q + 3*q - 74, 0 = f - 4*q - 84 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48.4 - -44.4. Let c = -34 - -55. Let z = u + c. Sort 2\/3, z, -2\/9 in descending order.\nAnswer: z, 2\/3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 23 (c) -1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1819212 + 1819162.49538. Let m = w - -49.5. Round m to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 924\/666 + (-66 - (-83 + 19))*(-2)\/(-3)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3831834 is divided by 338.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 + -10 + 0 - -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 14*o**3 + 9*o**3 - 18 + 7*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7026858?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94 - 98. Is 1*(-8)\/(-32) - 859\/p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*r - 73*r + 7 = 5*z, -2*z + 19 = 5*r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 3, -2264, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**7\/7 - 7*d**3\/6 - 11*d + 14. Let v(t) be the first derivative of c(t). What is the second derivative of v(h) wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a - 3. Let c be k(-6). Let j = -11 + c. Suppose -j*t + 3*t + 33 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2 (b) 365\/12 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 77*k**2\/2 + 74*k + 29. Differentiate q(b) wrt b.\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 913975 = -486137. Is 179 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2020 - -2037. What is the remainder when 1407 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 12*a - 548. What is b(44)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4180 + -4149. Which is the nearest to 0.11? (a) -1\/2 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4612965 by -922593.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t - 1. Let r be p(-1). Let s = r - -6. Let n(o) = o**3 - 9*o**2 + o. Let h be n(9). What is the greatest common divisor of s and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -25*u**3 + 130302*u**2 + 119901*u - 10426 = 0.\nAnswer: -1, 2\/25, 5213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*u + 2*u + 1 - 4*u)*(-5 + 5 + 5) + (-2*u + 3*u + 2*u)*(-3 + 4 - 2) as c + m*u and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378606*j**3 + 757204*j**3 - 378606*j**3.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1516.997218 - -1517. What is a rounded to four dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 6*a + 25. What is f(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 8*b + 5. Let x be p(8). Suppose x*j = 12*j - 175. Calculate the remainder when j is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6060*o*z**2 + o*z + 63*o - 21*z**2 - 10*z + 9 wrt z.\nAnswer: -12120*o - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45602933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1794899 and 82796?\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 2*b**2 - b - 12. Give r(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 3 (c) -118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 4:27 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.5 in -4, 2, 0.088, -5, 2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (857 - (2 + 1)) + 6\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*n + 115, 5*f + 85 = -6*n + 3*n. Find the common denominator of 58\/81 and (-5 - 477\/(-63))\/(f\/21).\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - a = -18, 23 = -5*y - a + 129. Suppose -17*m + y*m - 75 = 0. What is the units digit of (m\/6)\/((-5)\/(-4) + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -131\/24*z**4 + 0 - 41\/120*z**6 + 1\/30*z**5 + 0*z**3 + 5*z**2 - 5*z. What is the second derivative of b(n) wrt n?\nAnswer: -246*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121325, 484501, 1089803, 1937237, 3026809, 4358525, 5932391, 7748413?\nAnswer: 9806597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y - 5*y - 5*y**2)*(-y + 4*y + 15 - 11) to the form k*y**2 + t + a*y + g*y**3 and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 1.9 (c) 586\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/7908 and 19\/8.\nAnswer: 15816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w + w**2 + 17*w**3 + 3 - 16*w**3 - 10*w**2. Let h be s(8). Suppose 3 - 13 = -5*l. Solve l*k - 10 = 2*o - 0*k, h*k - 9 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*j**4 + j*t**2 - 54*t**2 - 2*t wrt j?\nAnswer: -24*j**3 + t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4545584108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/21 - (-8)\/(-12). Let f = 239\/45 + -26\/5. Let d = -0.52 - -0.62. Which is the closest to d? (a) f (b) u (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4400660 plus -4153773?\nAnswer: 246887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7402\/(-14)*(8 - 15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, v: 9}. Give prob of picking 4 s.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/65 + (-583)\/(-13)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 4.5. What is the second smallest value in -2\/5, 0.5, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 313*m + 26*m - 337*m + 4 + 2*m**2 - 18*m**3 as x*m**3 + d*m + p + s*m**2 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 15*r. Let f(b) = 23*b**2. Let d(w) = 8*w**2. Let i(o) = -17*d(o) + 6*f(o). Give x(i(v)).\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 22\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 494 - 440. What is the remainder when 215 is divided by z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 + -222010200?\nAnswer: -222010012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g - 77 - 94 + 171.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73 or -69?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*(-3)\/6 - 1. Let s = -9 - -7. What is the smallest value in f, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**4 + 120*y**3 + 7355*y**2 - 22890*y + 15416 = 0.\nAnswer: -47, 1, 2, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 3386292530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 7:07 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*x**3 + 625*b**3*x**2 + 2*b**2*x**2 + 3102*b*x**3 wrt b.\nAnswer: -12*x**3 + 3750*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (297195\/(-20))\/((-24)\/32) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5 + 54364*o**4 + 738806757*o**3 - 1477830978*o**2.\nAnswer: o**2*(o - 2)*(o + 27183)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*476\/34*8\/(-12).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**22\/g)\/g**7)\/(g\/(g**(7\/3)\/g))**(-47) assuming g is positive.\nAnswer: g**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 3. Let p be w(-3). Suppose g - 5*j - 3 - 5 = p, -g - 1 = 4*j. Suppose k = 5*c, 0 = -2*k + g*k + c. Let v(m) = -m**2 - m - 4. Calculate v(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*v. Let u = -1 + v. Let z = -206 - -3500\/17. Which is the nearest to u? (a) -2\/3 (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 328550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2\/5 + 6336*h\/5 - 3345408\/5 = 0. What is h?\nAnswer: 1056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 673 + -669. Suppose 0 = 376*q - 372*q - h. What is the nearest to 0 in q, -2\/3, 5, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 2. Suppose -6*h - a = 2. Let n(c) = -9*c - 6. Let v(y) = 3*y + 2. Let l(x) = h*n(x) - 7*v(x). What is l(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 53 - 179. Suppose 0 = -53*k + q*k - 30. What is the remainder when 21 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2261 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9\/(-6)*338*(-11 + 13 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/3*2025\/(-375) + -14.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297, 2185, 7079, 16407, 31597, 54077?\nAnswer: 85275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*m + 17 = 0, 11 - 32 = -2*d + m. What is the common denominator of 7\/2 and 3 - 197*(d\/36)\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -128*w + 30, -3*c = -5*w + 34 - 16 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 - 1\/(-3). Suppose 3*v = j + 5. Solve 8*b**2 - 3*b**3 - 2 - 4*b - 5*b**3 + 6*b**v = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1207 - -2101. What are the prime factors of w?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-220)\/231)\/(-10))\/(-1).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 676.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 2*b - 12. Let i(g) = 5*g**2 - 10*g - 59. What is 2*i(w) - 11*s(w)?\nAnswer: -w**2 + 2*w + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 37*m**3 - 5*m**2 + 3*m - 1. What is the tens digit of z(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157093566 to the power of 1\/3, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1114 + 2.0886. Is x at least -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87105292 divided by 21776323.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 785215, 16 in increasing order.\nAnswer: 0, 1, 16, 785215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)*l**5\/l)\/((l**(-8)*l)\/(l\/(l*l**(1\/5)))) assuming l is positive.\nAnswer: l**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, l: 2, m: 1}. Give prob of sequence bmb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/15, 0, -667, -3\/7, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3570, -3472, -3374, -3276, -3178, -3080?\n\"Answer: 98*o - 3668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -136177*j - 63653?\nAnswer: -136177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -124, 5, -3.\nAnswer: -124, -5, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 4:30 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 5544?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*o**4 + 9585*o**3 - 99993*o**2 + 18864*o + 285660 = 0. Calculate o.\nAnswer: -3\/2, 2, 10, 1587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -652, -4, 4 in descending order.\nAnswer: 4, -4, -652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7598 or 7599?\nAnswer: 7599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/((-5)\/4))\/2. Suppose -s - f*s = -210. Suppose -d + 3*d + 110 = 5*m, -3*d = -5*m + 105. What is the remainder when s is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6915900 and 922120.\nAnswer: 13831800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52.3 + 57. Let r = i + -4.2. Let w = r - 4.2. Round w to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388*c = -391*c + 357. Calculate the remainder when c is divided by 45.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 0.363\nAnswer: -3.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -139, -247, -339, -409, -451, -459, -427, -349?\n\"Answer: r**3 + 2*r**2 - 121*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -5*g**3\/6 - 37*g**2\/2 + 11*g. Let b be f(-11). Suppose 2*r = 4*r. Solve -5*w = 5*x + 30, -4*x + r*x - b = w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t + 3. Determine q(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 76 (c) 42917\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from {o: 1, n: 3, v: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249 divided by 83.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1645*r**4 + 764*r**2*v + 9742854*v wrt r.\nAnswer: -6580*r**3 + 1528*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7783)\/774 - -10)\/((-4)\/(-9)) + (-1077)\/24?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1570, 3098, 4626?\n\"Answer: 1528*w + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8\/7, 0, 0.0116?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 9*s + 3352 = 0. Let c = 1621 - s. Suppose 0 = d - 316 - c. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z**1))**(-12)*(z\/(z**2*z))**(5\/12))\/((z\/z**(-1))**(-42))**(-3\/17) assuming z is positive.\nAnswer: z**(-1597\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-7))\/((-58)\/203). Sort 64, -4, 4, n in ascending order.\nAnswer: -4, n, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8 - 1.4. Which is the nearest to -1\/5? (a) 3 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1607 + 1673. Solve -k + 64 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 33, 20, -16, 5 in descending order.\nAnswer: 33, 20, 5, 2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, b: 6, h: 2, r: 4, g: 2}. Give prob of sequence rh.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 4*p**2 - 3*p - 2. Let w be f(6). Suppose -2*q = 2*k - 80, 4*q - 5*k - w = 3*q. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2600 - -2599.9. Let u = -0.7 - -3.2. Let z = -3 + u. Sort z, a, 4 in ascending order.\nAnswer: z, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33433401 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25\/2 + 5\/2*b**3 - 5\/2*b + 25\/2*b**2 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = w + 12. Suppose 2*f - 21 = -5*f. What are the prime factors of (f - 1)*33\/w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -3100.\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**3\/3 + a**2\/2 - 4*a + 141. Give r(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*j + 3*s, 0 = j + s - 1. Let a(f) = -18 - f - 5*f - 3*f + 6*f. Let v be a(-6). Solve v = -r + j*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*u + 74*u = -12. What is the lowest common multiple of -48 + 48 + 24\/(3 + -1) and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24358*y - 55990*y + 7541*y.\nAnswer: -72807*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3732 - 3691. Which is the biggest value? (a) 0.08 (b) -3 (c) 1\/3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(-10) + -2)\/(498\/332).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 2*i - 7. Let g be v(-3). Suppose -3*u + 288 + g = 4*m, 20 = -4*u. Calculate the least common multiple of 32 and m.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 448778?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k. Let f(g) = 17825749*g**2. Calculate c(f(r)).\nAnswer: 17825749*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from rxceecexcrcxexcrc.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.71 and 0.2.\nAnswer: 0.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*i**3\/11 + 2390*i**2\/11 + 3000*i\/11.\nAnswer: -2*i*(i - 300)*(4*i + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.008505373 and 12.\nAnswer: 12.008505373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 - 6*l + 135. Let k be b(-10). Sort 50, k, 2, 1 in decreasing order.\nAnswer: 50, 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36432 and 16368.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4\/3 - 33713*i**3 - 283913665*i**2 - 2383285589825*i\/3 + 16203880247625.\nAnswer: -(i + 8435)**3*(4*i - 81)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -20*o**3 + 4*o**2 + 4*o - 19. Let w(h) = -40*h**3 + 7*h**2 + 7*h - 39. Let r be (12\/15)\/(1\/5). Let t(b) = r*w(b) - 7*i(b). Differentiate t(x) wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -297 + 12a1f?\nAnswer: 12788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*z = k - 21173, 0 = -3*z - 3. Suppose -21*p + k = 21*p. What is the greatest common divisor of 168 and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9447.22g to micrograms.\nAnswer: 9447220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 2*c + 19, -x - 4*x = -c - 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 54bac - 3c?\nAnswer: 54b70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1302)\/(-48) - (-3)\/(-24). Let j be (-2)\/(1 + u\/(-25)). Let s(t) = -11 - 16 + j + 4*t. Give s(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/269 and -85\/68326.\nAnswer: 68326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjdjjjdjjjj. What is prob of sequence jj?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q. Let u(n) = 15*n**2. Suppose -2 = 3*l - 5. Let o be u(l). Let z(g) = -15 + o - 5*g**2. Calculate c(z(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 117762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*i - 301*i - 1475*i to the form p*i + b and give p.\nAnswer: -1799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6.84 + -1326.0155\nAnswer: -1332.8555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 + 202?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -926, -480 in ascending order.\nAnswer: -926, -480, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 230 in 2, -6, -47, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 887*x - 7089. Let l be d(8). Let f(g) = -12*g**2 + 7*g - 7. Let m(r) = -4*r**2 + 2*r - 2. Give l*m(t) - 2*f(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 8*w - 58. Solve 0*g + 37 = -3*g - 5*a, w*g = 4*a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 1. Let i = -0.7 - p. What is the closest to 2 in i, -4, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 i, and 1 o when three letters picked without replacement from ioiemoi?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and -279?\nAnswer: 3906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four thirds of a century in months?\nAnswer: 25600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - g + 27. What is n(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3233*l*z**3 + l*z**2 - 862*l*z - 1110*l - 6*z**3 wrt z?\nAnswer: 19398*l*z + 2*l - 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/186, -36, -1\/73, 3.\nAnswer: -36, -1\/73, -1\/186, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18267)\/9 + -1 + -1. Let i = 2061 + t. Let u = i + -30. Put -1, u, 0 in increasing order.\nAnswer: -1, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*63\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1603 and 1900471?\nAnswer: 13303297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57030 divided by -1?\nAnswer: -57030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2100c2 - 2?\nAnswer: -2100c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 226 + -219. Which is bigger: p or 23\/3?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2711, -2714, -2717, -2720?\n\"Answer: -3*m - 2708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/18 - (-10)\/(-15). Which is smaller: v or -4\/21?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m - 7. Let i be p(-5). Suppose -4*j + y + 7 = 0, y + 2 = i*j - 2. Let z be 1*0\/1 + j. Solve -6 = z*o - o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110100011110000 (base 2) in base 11?\nAnswer: 188155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, r: 1, z: 1, u: 1, t: 1, l: 1}. Give prob of sequence ugr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/10*(-8)\/(-14). Sort -0.3, 7, a.\nAnswer: -0.3, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r + 2*v = 10, 5 = -2*r + v. Let n(k) = r*k + 3*k**3 - 2*k**3 + 7 + 4*k**2 - 4*k - k. Calculate the remainder when n(-5) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/5 (b) -383 (c) -2\/15 (d) -1\/5 (e) -1 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 10*v**2 - 13*v + 16. Let d be n(11). Let j = d - -10. Suppose j*u - 445 = -5*q, 2*u + 0 - 267 = -3*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 371 - 1441*p - p**4 + p**3 - 1443*p + 2885*p to f + n*p**4 + y*p + k*p**2 + u*p**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 10.6, -3, -4, -1413?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 116*z + 6716. Determine u(-58).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 460 - 165. Suppose -2*m - i = -27. Let c = 211 + m. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6159*r + 331268 + 407102 - 257968 for r.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -14. Which is the second biggest value? (a) 0.2 (b) 2\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 506, 648, 790, 932?\nAnswer: 1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 303328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 36*s**2 - 1. Is j(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -3*f**5\/5 - 249*f**4\/4 - 1680*f**3 + 2646*f**2 - 666. Determine g so that i(g) = 0.\nAnswer: -42, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 507*i - 2877 + 16059 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16ee02 (base 16) in base 15?\nAnswer: -1ea3b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 38*o**2 - 39*o + 76. Let c be m(37). Let w(d) = 3*d + 2. Give w(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 b when three letters picked without replacement from mmwmmmrbwbrmmbrmm.\nAnswer: 27\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2 - 3*i + 2*i - i + i. Give y(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-179 - -162 - (0 + -28)) + (75 - (3 + -1))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 - 1250*j + 2. Let f(v) = -5*v. Determine l(f(s)).\nAnswer: -75*s**2 + 6250*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 100 = 5*c - 145, -2*c + l + 95 = 0. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140574221 to the power of 1\/2, to the nearest integer?\nAnswer: 11856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-7)*(-93380)\/(-1380).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*o + 15*m + 100 = -101*o, -3*o + 3*m + 12 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**3 + c**3 - c**3 + (2 - 2 - 1)*(-4*c**3 + 2*c**3 + 0*c**3) - 5*c**3 - 3*c**3 + 3*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/3478845 and -49\/65.\nAnswer: 45224985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5711 - -17132\/3. Let k(v) = 4*v. Let d be k(1). Let r be (-6)\/28 - (-2)\/d. Put r, 0.5, h in ascending order.\nAnswer: h, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -11*v**8\/56 + 5*v**4\/6 - 7*v. Find the third derivative of k(x) wrt x.\nAnswer: -1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/14*1470\/(-420)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.83 in 2\/1431, 1\/7, -2\/5, 1\/5, 3\/5, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/7 + 4*j**3\/7 + 2*j**2\/7.\nAnswer: 2*j**2*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4\/7 - 1458*c**3\/7 + 2882*c**2\/7 + 18882*c\/7 + 14540\/7 = 0.\nAnswer: -2, -1, 5, 727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -29*m**5 + 8*m**4 - 20*m + 8. Let p(v) = 19*v**5 - 5*v**4 + 13*v - 5. Let g(c) = 8*p(c) + 5*z(c). Find the second derivative of g(i) wrt i.\nAnswer: 140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178353 = -65*b + 117952 - 9720. List the prime factors of b.\nAnswer: 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.9235 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 + 1. Let i be h(-1). Suppose -22 = 2*m - i. What is the units digit of 0 + (0 - 0) - m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = m - 4, 9 = 33*c - 34*c + 4*m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-644)\/(-5) + (-4)\/(-20) - 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v. Let g(d) be the third derivative of 77*d**5\/30 - 29*d**2 - 6. Determine b(g(x)).\nAnswer: -154*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4376 and 7792.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 566 by 283.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -103*o**3 + 2*o**2 - 2. Let p be k(1). Let j = p - -106. Solve -4*b - 1 = 3*v, v - j*b = 4*v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1333542?\nAnswer: 1333542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -186.5 + 185.5. What is the nearest to p in -143, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/g**(2\/9)*g*g*g\/(g\/g**(-4))*g*g**(-3\/8)*g*g\/((g\/g**(-6)*g)\/g)*g*g**(2\/15)\/g**2*g**(-3\/2)\/(g*g**(3\/10)*g) assuming g is positive.\nAnswer: g**(-667\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 - -1) + (15 - 15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2. Let l(q) be the second derivative of q**5\/60 + q**2\/2 + 2*q. Let w(n) be the first derivative of l(n). Determine u(w(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1063, -4544, -10359, -18508, -28991?\n\"Answer: -1167*a**2 + 20*a + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 y, and 1 l when three letters picked without replacement from {s: 2, r: 2, y: 1, l: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (470\/12)\/(-1)*15048\/8360*(-2)\/(-3).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 0.54. Let i = 499\/4 - 124. Which is the smallest value? (a) i (b) g (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1872) - sqrt(52)) + 1.\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/7 + 2*l**3\/7 - 15*l**2\/7 + 4*l\/7 + 20\/7 = 0. Calculate l.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 557997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**4\/24 + 7*l**3\/3 + 29*l**2. Determine t(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 1904?\nAnswer: -1906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-4 + sqrt(98) - sqrt(98))**2 - 2*sqrt(200)).\nAnswer: -60*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -34454015000 to the nearest one million.\nAnswer: -34454000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1.6. Let n = -37.96 - -37.9. Which is the closest to 0.1? (a) l (b) n (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*r**4 - 2*r**3 + 921*r**2 - 1591*r + 318.\nAnswer: -132*r**2 - 12*r + 1842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d + 12 = 14*d - 4*m, 4*d - 4*m - 4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j = 160. Let i(y) = -34*y + 0*y**2 + y**2 + j*y + 3*y**2 - 1. Let w be i(-1). What is the highest common factor of w and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324379921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 5590*z - 95319.\nAnswer: (z - 17)*(z + 5607)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*w - 2*q + 340, -4*w = 2*q - 272. Let p = w - 48. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2858 - 819 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3 - 4524 - 400*x - 830*x - 150*x**2 - 135*x + 1144 - 3*x**3 = 0. What is x?\nAnswer: -13, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003067729 rounded to six decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, -3, -109, -215, -321, -427?\nAnswer: -533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -429.4*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.2, -2, 2, -5, -0.137?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**4\/2 + 387*s**3\/2 - 567*s**2 - 6*s + 756 = 0. What is s?\nAnswer: -1, 2, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**3\/17 - 203956*j**2\/17 + 203958*j\/17 = 0.\nAnswer: -101979, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -160, -322, -484, -646, -808?\n\"Answer: -162*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0.5, -5, -1, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -174 and -0.4.\nAnswer: 69.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**3\/6 + 25*h**2\/6 - 41*h\/3 + 28\/3 = 0.\nAnswer: -28, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13768, 57057, 129864, 232189, 364032?\n\"Answer: 14759*f**2 - 988*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 15*x**2 + 5*x**3 - 3*x**3. Let d be k(15). Suppose 4*r = 3*r + 3. Put -4, d, 6, r in decreasing order.\nAnswer: 6, r, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from {v: 1, s: 2, d: 2, c: 1, a: 1, g: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1046681926898.0851229 + -1046681789492. Let m = -137575.0851 + l. Let p = m + 169. Round p to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1530515, -5, 28 in ascending order.\nAnswer: -5, -0.3, 28, 1530515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.87 and 31.\nAnswer: 119.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mymymmmmmmmm. Give prob of sequence ymm.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127*i**2 - 328*i**2 + 8*i**2 - 245*i - 5*i - 1 wrt i.\nAnswer: -894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 13*s - 7. Suppose -4*r = -r - 30. Calculate the remainder when i(9) is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 544967\/64 + -8516. Find the common denominator of n and -4 - (-74)\/36*-3.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -3, -3\/2, -2\/10661 in decreasing order.\nAnswer: 6, -2\/10661, -3\/2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/7)*h*h**7\/h)\/(h**(-1)\/(h*h**(7\/5))) assuming h is positive.\nAnswer: h**(344\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 4*i**2 + i. Let h be u(4). Let r be ((-60)\/48)\/((-1495)\/(-184)). Put 0.4, r, h, 2 in ascending order.\nAnswer: r, 0.4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 - 2*u**2 + 7*u**2)*(-u - 2*u + 2*u) + 1621 - 2817*u**3 - 2813*u**3 + 5631*u**3.\nAnswer: -u**3 + 1621","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*6*(-5 + sqrt(20)\/sqrt(4)*3)*4.\nAnswer: -360 + 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2001 (base 4) to base 3\nAnswer: 11210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -7. Let x(i) = 5*i**2 - 8*i - 23. Let u(j) = -2*j**2 + 3*j + 8. Let t(o) = y*u(o) + 3*x(o). Let q(z) = 2. Determine 5*q(n) + 2*t(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 30. Let w be k(23). Suppose w = -2*p + 124. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c8a + 5?\nAnswer: 1c91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18150)\/(-4125))\/(8\/(-60))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 41414 = 3*d, 929*d - 934*d + 69007 = 4*m. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 times -4235071\nAnswer: -59290994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9743 is divided by 85.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1364216 to the nearest integer?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13581 - 13579.7014. Let u = -0.9 + -0.4. Let f = z + u. What is f rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3344.23041 + 3361.141. Let d = 18.08894 + v. Let a = -35 + d. Round a to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.396 and 0.04418.\nAnswer: 0.06167528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41\/2*c**3 - 361\/6*c - 20 - 121\/2*c**2 - 1\/6*c**4.\nAnswer: -(c + 1)**3*(c + 120)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*b = 33*b - 66 - 554 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z**3 + 566*z**2 + 135*z - 13. What is l(71)?\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -808 divided by 12\nAnswer: -202\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 2*w - 6 = 0, -2*w - 2*w - 2 = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.127 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*j + 4, -m + 3*j = j + 2. Suppose 0 = v - 0*v + m. Let a = 1 - v. Put 2, 4, a in decreasing order.\nAnswer: 4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/21 and 139\/2659254?\nAnswer: 18614778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 222986920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 11*c**3 - 5*c**2 + 5*c. Let h = 66 + -61. Let d(v) = 27*v**3 - 12*v**2 + 12*v. Calculate h*d(n) - 12*w(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-50)*(-148)\/(-37))\/((-22)\/(-20)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -735 + 2814 = -297*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxvvvevvzxxvxvxz. What is prob of picking 1 v and 1 x?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k**3 - 19*k**2 + 16*k - 1. Calculate the remainder when d(3) is divided by 74.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145\/3 - 49. Let j be 6\/54 - 354\/27. Which is the third smallest value? (a) u (b) 1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2. Let a(y) = y - 30. Give l(a(k)).\nAnswer: -4*k**2 + 240*k - 3600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4649*h**2 + 18*h*t + 47*h + 23082463*t with respect to h.\nAnswer: 9298*h + 18*t + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/687 (b) -20 (c) -1 (d) 2 (e) -3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3841, 11290, 23705, 41086, 63433?\nAnswer: 90746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + 2*sqrt(133) + sqrt(133) + sqrt(133) + sqrt(133) + sqrt(133) + sqrt(133))\/sqrt(7)*-6.\nAnswer: -48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7155, -14312, -21473, -28638?\nAnswer: -35807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64408 by -13.\nAnswer: -64408\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 + 175*a - 35. Give p(-44).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, t: 11}. What is prob of picking 3 y?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-38 - 4)*(-1)\/(21\/90). Suppose -2*m + 20*m - g = 0. Let c(s) = s**3 + 6*s**2 - 4*s - 5. Let n be c(-5). What is the greatest common factor of m and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -47974509466.875.\nAnswer: -47974509463.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 2*h**2 - 75*h + 75. Calculate i(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -430*z**2 - 32*z - 121. Calculate w(-4).\nAnswer: -6873","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, x: 1, z: 1, l: 5}. What is prob of picking 1 l, 1 x, and 1 v?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -25*s + 235. Calculate t(11).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*f = -84*f + 137*f - 27 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4 + (-5)\/(-2). Let o(q) = q**2 + 5*q - 3. Let j be o(-6). Solve j = l*n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 278, 600, 1044?\nAnswer: 1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-45) + (-34)\/(-9). Solve 1 = -d - 5*p - r, 2*d - 3*p = 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1499, 6633, 15163, 27071, 42339, 60949, 82883?\nAnswer: 108123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 84132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m\/(m*m\/(m**6*m*m))))\/((((m*m**(-4)*m)\/m)\/m*m*m)\/m))\/(m**(1\/4)*m*m*m\/m**(3\/5)) assuming m is positive.\nAnswer: m**(-113\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*(j**(1\/16)\/j)\/j)\/(j**3\/j))\/(j\/j**8*(j\/(j**5\/j)*j)\/j*j) assuming j is positive.\nAnswer: j**(129\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000060008 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -57. Suppose -3*l + m = 3*d, -5*d + 28 + 3 = 4*l. Let a(v) = 9*v - 8*v**2 - l*v. Let y(h) = 2*h**2. Give y(a(s)).\nAnswer: 128*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 35bb (base 12) to base 5\nAnswer: 143142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*g**3\/5 - 2898*g**2\/5 + 28434*g\/5 - 25542\/5.\nAnswer: 6*(g - 473)*(g - 9)*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*t - 6*t + 26, -q - 30 = -4*t. Let v(r) = 20*r - 138. Let z be v(t). Solve 5*b + 13 = 2*h, 3 - 17 = -3*h + z*b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94609, 94611, 94613, 94615, 94617, 94619?\nAnswer: 94621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*d - 23, -3*d - 23 = -2*n. Let a = n + -10. Let o(r) = -3*r - 5. Determine o(a).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 5*i**3\/6 - 11*i**2\/2 + 24*i. Calculate the remainder when 39 is divided by x(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l**3 - 18*l + l - 24*l**3.\nAnswer: -9*l**3 - 17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4)*2*20. Suppose -5*n = -4*n + 14. Let r = n + 14. Solve r = -0*z - 5*z + l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1277588378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -1720?\nAnswer: -1722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4911 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -6805324.68?\nAnswer: 6805324.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70127 - 893207598\/12737. Let b = -219521542210064801\/254740 + 861747437422. Let r = n - b. What is the common denominator of r and -31\/42?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0835928 millennia in decades?\nAnswer: 8.35928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 4. List the prime factors of m(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2, 6, 3, 0, 1 in ascending order.\nAnswer: 0, 1, 2, 3, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16014 divided by 22\nAnswer: -8007\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g**2 - 2*g + 4*g - g + g**3 - 2. Let k be 20\/15*54\/12. Determine c(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 80294?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -531, -1072, -1613?\nAnswer: -2154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 5 (c) 368 (d) -2 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364892 is divided by 5213?\nAnswer: 5195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-50)\/10*4\/(-10). Suppose -3*u + 1 = x*v, 0*u + u + 18 = 3*v. Suppose -p - 5 = -3*p + 5*c, 20 = 3*p - v*c. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/114 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p - 781*p**2 + 525*p**2 - 266*p**3 - 719*p**2 wrt p.\nAnswer: -1596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**2*m**2 - 655*h*m + 5834*m**2 wrt h?\nAnswer: 2*h*m**2 - 655*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/18*(9\/(-12) + 0). Let q be (-7)\/(-28) - 19\/(-4). Which is the second biggest value? (a) t (b) q (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, -99, -316, -653, -1116, -1711, -2444, -3321?\n\"Answer: -p**3 - 51*p**2 + 57*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.590867 millimeters?\nAnswer: 6590.867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -10*x - 65. Let f be m(-7). Suppose -2*g + 6 = 0, f*s - 42 = 3*s - 4*g. What is the highest common divisor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 103873820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -117 + -2?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (264 - 422 + 259)*(2*o + 0*o + 0*o)*(4*o - 3*o + 2*o + (-2*o + 4*o + 0*o)*(-2 + 3 - 3)).\nAnswer: -202*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {x: 5, l: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 226*g**2 + 399*g + 1209. Is d(-3) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*2*(0\/(-6) - -1). Is 8 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1487*-36.93\nAnswer: -5.491491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**2 - 72104*d + 1299168 = 0. What is d?\nAnswer: -18044, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*n + 2. Suppose 7*g - 3*g = 108. Let c be 60\/g - (2 + 0). What is the nearest to 0.1 in n, 2\/13, c?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhg when four letters picked without replacement from {g: 7, f: 5, h: 7}?\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**2 + n + 2. Let y be x(3). Suppose 5*b - 199 = -y. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 22831795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58976 is divided by 9821?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 2*p + 5*a, 397*a = -2*p + 395*a - 20 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 157406271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llc when three letters picked without replacement from lllllclldllllllllll.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i**3 - 41*i**2 + 120*i - 582. What is z(6)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2305040*r + 240. Let s be i(6). What is s rounded to the nearest one hundred thousand?\nAnswer: -13800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*b - 22 = 0, -6*f + 2*f + 41 = 5*b. Calculate the remainder when 33 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let z(r) = -3*r**2 - 43. Let o(d) = d**2 + 5. Let l(x) = 5*o(x) + z(x). Calculate k(l(g)).\nAnswer: 2*g**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*2*(-34)\/8. Suppose b + a = 3*o, o + 2*b = -2 - 4. Let s = o - 4. Solve s*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = 5*h - 47*h + 221211. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 18060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5711103 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = n - 13, -19 = -5*n - 0*t + 3*t. What is the smallest value in n, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 361.0548kg to grams.\nAnswer: 361054.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1483, 2, 5 in ascending order.\nAnswer: -5, 2, 5, 1483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*((v\/(v\/(v\/(v*v**1\/v))))\/v)\/v))\/v*v**(1\/4)*v*(v*v**(-1\/3)*v*v*v)**6 assuming v is positive.\nAnswer: v**(97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Let m(d) = g*d - d + 4*d**2 - 2*d + 7*d + 7. Is m(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -0.4 (b) -2 (c) 1\/7 (d) 65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 3\/2*k**3 + 1\/20*k**5 - 134*k + k**2 + 11\/12*k**4 + 0. Give a(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 3 - 9) + (-2 - (-1 + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.023 + 22.877. Let f = s - 26.9. Which is the third biggest value? (a) 1\/4 (b) f (c) 0.3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 14 - 56 = 0. Suppose 0 = -4*q + t + 38. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.372 - -0.072. Suppose -x - 29 = 5*d, 3*x = d - 2*x - 15. What is the third biggest value in 2, c, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + a - 2*a + (-6 + 1 + 3)*(-2 + 2 + 2*a) - 2*a + 3 - 3 - 2*a + 3*a + a + (-4*a + a + 2*a)*(-2 - 2 + 2).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344396034?\nAnswer: 2, 3, 19133113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70.9 + -93.9. What is the closest to w in -2\/7, 1, 15, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 2*a**2 + a. Let y(r) = r**2 - 9*r + 18. Let z be y(5). Give f(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + 4*sqrt(475)*3)**2 + (sqrt(475) - (sqrt(475) + (sqrt(475) + -4 + sqrt(475))*-5))*3.\nAnswer: 510*sqrt(19) + 68347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105154 and 167388.\nAnswer: 8202012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*y = -6, -4*y = 3*q + q. Suppose 4*m - m = 15. Suppose m*x - 2*x = -6. Which is greater: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -3. Is f less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 59 = -86. Let q = -28 - h. Solve -2*y - q = -3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -463\/15 or -30?\nAnswer: -463\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 11, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -16*y**2. Let g(w) = -3*w + 5. Let d(h) = 2*h - 4. Let o(u) = 5*d(u) + 4*g(u). Calculate a(o(s)).\nAnswer: -64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.123 + 1.137. Let j = l - 1.2. Do j and -6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + -1 + -1 - 23*-1. Let j(n) = n**3 - 22*n**2 - 20*n + 65. Is j(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 770414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7517, 7788, 8059?\nAnswer: 8330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and -11911?\nAnswer: 262042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10484?\nAnswer: 2, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2\/3 (b) 26\/603 (c) -1\/10 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, p: 1, r: 1, c: 4}. Give prob of sequence rcpc.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from jskkkwkkkkbkkk?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = z - 16. What is the greatest common divisor of z and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*q - 4. Let v be q\/((-3)\/30000)*-49. What is v rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 3 = -3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 16*m**2 + 57*m - 11. What is x(19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, m: 2, f: 1, d: 2, r: 1}. What is prob of sequence lf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1455892 and -0.4.\nAnswer: -1455892.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/274 and 48\/5069.\nAnswer: 10138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 3*w + w + 20, 4*w = -2*s + 10. Suppose -3*u + 6 = -0*u. Suppose u = -s*r + 7. Is 1 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 421 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from {e: 3, i: 6, p: 2, f: 2, b: 2}?\nAnswer: 4\/105","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) -3 (c) 0.5 (d) 0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -375*g - 357. Let w be v(-1). Solve -14*o + w = -11*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000040841093 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (14 - (22 + -8 - 5)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*s + 278*s + 164*s - 7.\nAnswer: 602*s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)*2*-1)\/(sqrt(20)\/sqrt(4)*6).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 41400 to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/42 and -82\/117?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.68453687 to 4 decimal places.\nAnswer: 0.6845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**4\/12 + 5*n**3\/2 + 8*n**2 - n. Let b be x(-14). Suppose 2*y = 2*t + 50, -b*y - 5*t + 50 = -3*t. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 12*q - q**3 - 3*q**2 - 7*q - 3*q - 3. Determine d(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 620622281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.13 + -365.13. Let c = 362.19 + n. Let u = 0.51 + c. Round u to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/(l\/((l\/l**(-1\/34))\/l*l)))\/l*l*l)*l)\/l**(-23)*l**0\/(l\/((l*l**(-1\/37)\/l*l)\/l)*l))**18 assuming l is positive.\nAnswer: l**(237123\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 1102012?\nAnswer: 1102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 470747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -7*p + 10*p - 324, -2*p + 3*w = -197. Calculate the remainder when 158 is divided by p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m**2 + 1. Calculate v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 3 + 828*i**3 - 839*i**3.\nAnswer: -11*i**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5804*z = -2258*z + 1692*z - 509600 for z.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183396691 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 18*x + 113. Let w be d(-6). Solve -w*m - 5*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -93, -173, -237, -279, -293?\n\"Answer: f**3 + 2*f**2 - 93*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 h, and 1 s when three letters picked without replacement from {v: 1, c: 2, n: 10, h: 4, s: 1}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8493\/7293 + -14 + 13 + (-110)\/(-130) + -1?\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = s + 96. Which is the nearest to s? (a) 0 (b) -7 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a**3 + 6*a**2 - 2*a - 6. Let r(u) = -6*u**3 + 5*u**2 - 2*u - 5. Let p = 5534 - 5528. Determine p*r(y) - 5*k(y).\nAnswer: -y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.4, -26\/5, -18\/5?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -14*o + 1. Let y be (60\/15)\/(1\/(-3) + 1). Let v(n) = -8*n + 0*n + 0*n + y*n. Determine w(v(u)).\nAnswer: 28*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -58, -93, -130, -169?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 148429713*i - 346852165?\nAnswer: 148429713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*i**4 + 3045*i**3 - 322371*i**2 + 8029287*i + 283106712 = 0. What is i?\nAnswer: -56\/3, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 738643961 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70.429 + 70.389691. Let c = 0.0391 + o. What is c rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2012 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-3 + sqrt(1900) + sqrt(1900))*3)**2 + sqrt(1900) + 1 + 5.\nAnswer: -1070*sqrt(19) + 68487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -4*p - 16, c + 2*p = 13 - 18 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52961, 105923, 158885, 211847, 264809, 317771?\nAnswer: 370733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(378)\/sqrt(6) + sqrt(63) + 2)*6.\nAnswer: -18 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004839 rounded to 6 decimal places?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5091 = 17*p + 2559. Which is bigger: -0.07 or p?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 12*c - 201. Let h be i(17). Does 50 divide (1 - (h + 258))\/((-1)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2464 + 71*x**2 - 2464 to the form q*x**2 + l*x + s and give q.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4862 + 79*z + 4862 - z - z + 0*z + 5*z + 0*z - 4*z + (-z + 2*z + 0*z)*(-3 + 4 - 3))*(-z + 0*z + 2*z) to the form x*z + r*z**2 + c and give r.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.6, -4, -18, -16\/199, 0.03 in descending order.\nAnswer: 0.03, -16\/199, -2.6, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 35 - 9 - 10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjfpbffffbaffy. What is prob of picking 3 f and 1 b?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 d when three letters picked without replacement from {d: 1, j: 2, e: 3, k: 10}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10188013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172 equal to 1173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -15638309?\nAnswer: -1563830.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1173844853*b**2 + 522818773?\nAnswer: -2347689706*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -457720.\nAnswer: 13\/457720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u**3 + u - 1. Let z be d(1). Let y = -6 + z. Suppose -4*x + 2*x + 6 = y. Calculate the least common multiple of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1572608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -331a8 + 1a34?\nAnswer: -31374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = m + 13, -27 = 3*b - 4*m - 35. What is the third biggest value in -2, b, 2, 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((-5 - -13) + -21)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 2*j - j)*(3 - 3 + 2) - 2*j + 0*j + 0*j + (-4*j + 5*j + 0*j)*(1 - 2 + 2).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2486984174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**7\/42 - 4*c**6\/15 - 5*c**5\/4 - 19*c**4\/6 - 14*c**3\/3 - 4*c**2 + 418*c. Solve k(a) = 0 for a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 11, -33, -4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/7 and ((-8)\/(-16))\/((-5)\/12).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1629*a**2*i*q + a**2*q**3 + 2*i*q**3 + 454*q**3 wrt i.\nAnswer: -1629*a**2*q + 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 p, and 1 j when three letters picked without replacement from {r: 2, j: 3, b: 7, m: 3, p: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + sqrt(1872) + sqrt(13) - sqrt(325)*2).\nAnswer: 20 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-6)*(5 - 95). Suppose 288 - 11 = -4*v - f, 143 = -2*v + f. Let p = c - v. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010998159247 to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5260 and 336114?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 582 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 10, 2, -15 in increasing order.\nAnswer: -15, -7, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.49 times -8\nAnswer: 3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 3, -16, -18, -21, -1.\nAnswer: -21, -18, -16, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -j - 0. Which is the closest to -2? (a) j (b) 4 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(-46)*(-138)\/(-12)?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/2465, 2\/27, -0.4, -2\/9, 4\/3, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v - 80408 + 80410 + 75*v.\nAnswer: 91*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3 - 116*g**2 + 4052*g - 43648 = 0. What is g?\nAnswer: 22, 32, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*f - 68*f = 2092902 - 2098811 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65760 and 9590?\nAnswer: 460320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 4, -3*q + 8*j - 393 = 2*q + 13*j - 388 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 8491 = -1165. Let t = y + -404. Solve -3*u - 2*v = -2*u - 8, -t*u - 4*v = -18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-175)\/70*36\/(-105)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 1. Let u(z) be the first derivative of -12*z**2 + 22*z + 430. Determine 44*m(f) + 2*u(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 14*f - 13. Determine y(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 353999903678.\nAnswer: 353999903680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 16 = -4*r - 4*z, 0 = 3*r - 3*z. Let t(s) = -5*s**2 + 3*s + 2. Let a be t(r). Find the common denominator of -11\/21 and 246\/147*(-56)\/a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4225.3 - -4225. What is the nearest to 3.72 in 4, x, -2, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(-3)\/14*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -598 + 594. Calculate the common denominator of 45\/17 and ((-304)\/(-133))\/(a\/8).\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3750 - -11559. Suppose -27*f + j = -183. Calculate the highest common divisor of 111 and f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 4*o**2 - 4*o**2 - o**2 + 2*o**2 + 0*o**2 + o**2 - 4*o**2 + o**2 + (2*o + 0 + 0)*(3 - 3 + o) + o**2 + 2*o**2 - o**2)*(o**2 + 0*o + 0*o).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 436 and (-154)\/7*((-7)\/(98\/777) + 1).\nAnswer: 4796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/11452899 and -13\/30?\nAnswer: 114528990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 326*b**3 - 15708*b**2 + 66776*b - 68096.\nAnswer: -(b - 2)**2*(b + 64)*(b + 266)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -361512, -1446061, -3253650, -5784285, -9037972, -13014717, -17714526, -23137405?\nAnswer: -29283360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 196156?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.48289*53\nAnswer: 25.59317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32971662 and 54?\nAnswer: 98914986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -111*m**3 + 3*m**2 + 5*m + 8. Let v be w(-4). Suppose -5*l + v = -2*c + 7*c, -4*l + 7135 = 5*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k, 4*a = -3*k - 48. Let r be (-2)\/15*(a - -2). Let c = -0.36 + -0.14. Put -2\/15, r, c in ascending order.\nAnswer: c, -2\/15, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.0045 + 1.905. What is z rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -473.4 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -212313?\nAnswer: -212330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007100016 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68914114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 111 and 34.68.\nAnswer: 145.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j - 4 + 3*j**2 - 8*j**2 + j**3 + 3*j - 2*j. Let v(k) = -2*k**3 - 7*k**2 + k - 6. Let u be v(-4). Give m(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -c, -2*d + 3*c + c = -4560. Suppose -d*h**2 + 2274*h**2 - 68 - 30 + 56*h = 0. Calculate h.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4500645899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -38. Let b(x) be the second derivative of p + 0*x**2 + x + 0*x**4 - 1\/6*x**3 - 1\/20*x**5. What is the second derivative of b(f) wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107.7 times 4\nAnswer: -430.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 1 - 1 + (-2 + 2 + 5*n)*(0 + 1 - 3) - 3*n - n + 2*n as s*n + i and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5515143 - -103?\nAnswer: -5515040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -140243 + 218364. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -443*o + 2666. Is 47 a factor of q(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2967 - -0.0033. Sort b, -5, -1.2 in decreasing order.\nAnswer: b, -1.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/(-133)*(-2)\/12.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24093.07 millennia in decades?\nAnswer: 2409307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2927.2761 minutes?\nAnswer: 0.290404375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.030622625 rounded to four dps?\nAnswer: -0.0306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 2, 3506, 4 in ascending order.\nAnswer: 2, 4, 38, 3506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2843225 - 0?\nAnswer: -2843225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8621*z**3 + 28*z - 47?\nAnswer: 51726*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f. Let y be l(4). Let c = 332.068 + -332. Let g = c - -4.932. What is the closest to 1 in y, g, -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -3. Let r be (-9)\/6 - (-12)\/q. Solve -2*a + r*k = k, -5*a - 3*k = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1273*j - 586*j + 1722*j + 130086 for j.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4)*(1 - 1). Suppose i*d - 10 = -5*d. Let o(k) = -5*k**2 + 2*k**2 + k**d. Let h(u) = -u. Determine o(h(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1449 + -494. Suppose -7*b = -x - 585. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**10*r*r)**(-5\/7)*(r*r**(2\/29)\/r)\/r**(6\/5) assuming r is positive.\nAnswer: r**(-10573\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/348491?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18278, -18228, -18138, -18002, -17814, -17568?\nAnswer: -17258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 2032 + 2037 = 5*q - 0*q, 16*k - 73 = 3*q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/27))**(2\/33) assuming d is positive.\nAnswer: d**(-4\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -4*n - 162. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-3))\/((-2)\/(-3)). Suppose -4*g + 21 = s. Calculate the lowest common multiple of 3 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.82.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**2 + 2*d + 1. Let b be p(-2). Suppose 0 = -0*s + 3*s. Suppose 0 = -s*r + r - b. Calculate the remainder when r is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 15*q**2 + 11*q - 34. Let h be w(-14). Suppose 5*b + 9 = 2*k - 11, -h = -2*k - b. Solve -k*u - 3*z + 15 = 0, -9 = -5*u + 2*u + 4*z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v + 4. Let o(t) = -9*t + 7. Let a(b) = 7*c(b) - 4*o(b). Suppose -2 + 22 = 5*p. What is the remainder when 5 is divided by a(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 103631, 207267, 310915, 414575, 518247?\n\"Answer: 6*f**2 + 103618*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16415 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -180 divided by -250\nAnswer: 18\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.119, -3, 2, 1\/9, 0?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2192 = -5*y + 2*n, -2*y + n - 422 + 1299 = 0. Suppose -2*j + 488 = -y. Suppose j = 5*a + 13. Calculate the greatest common divisor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 23*r - 1. Let b(h) = -h - 4. Let p be b(-15). What are the prime factors of i(p)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4\/4 + 401133*t**3\/4 + 6015195*t**2 + 120291900*t + 801906000 = 0. Calculate t.\nAnswer: -133651, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**2 - 3280*w - 369460 = 0.\nAnswer: -98, 754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, e: 1, m: 1, f: 2, r: 1, i: 3}. What is prob of sequence rfgg?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 3 - 16 - 3 + 7.\nAnswer: -3*r - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16554063 (base 7) in base 10?\nAnswer: -1626894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6, -47, -80, -99, -98?\n\"Answer: m**3 - 2*m**2 - 42*m + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -s - 4, 4*k - 41*s + 38*s - 12 = 0. Solve k = -11*q + 7 + 15 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/88 and -80\/77187.\nAnswer: 617496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i + 4 - i + i + 7*i. Let q be a(3). What is the highest common factor of q and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -505 + 509. Let b be (-5)\/(-3) + 1\/3. Suppose 0 = -0*t - b*t. Solve -f = -2*j - t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4}. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 - 3*t**2 + 12 - 1 + 2 as f*t**2 + h + g*t and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 2273040*k + 322919427600.\nAnswer: 4*(k - 284130)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 45430?\nAnswer: 45430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 6*w = -148. Let l(i) = -4*i - w + 29 + 16*i - 11*i. Determine l(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e0 - 4?\nAnswer: 3db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, -1\/10, -0.06, 0.5, -2.\nAnswer: -2, -1\/10, -0.06, 0.5, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofyeezl. What is prob of picking 1 z and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**(-2)*t)\/t))**(-35)\/(t**(-6)*t**(-1\/10)) assuming t is positive.\nAnswer: t**(-989\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 + 140 = 0. Is r a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107351053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-30)\/(-3690)*41).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert c42381 (base 15) to base 13.\nAnswer: 1c153cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 230 - 225. Suppose 0 = -f - 15*t + 11*t - 4, -5 = m*t. Let w(r) = -r**2 - 1. Calculate w(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 120 + -101. Suppose 0 = -16*b + i*b. Let b*c - 2\/7*c**5 - 6\/7*c**3 + 0 + 2\/7*c**2 + 6\/7*c**4 = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78916767.\nAnswer: 3, 383, 68683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13150.\nAnswer: 2, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3 + 94*z**2 + 92*z = 0. Calculate z.\nAnswer: -46, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 88014139 to the power of 1\/3, to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -3*y - 0*y. Let n = 111 - y. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 196809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 2:56 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 13) in base 14?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 21*i**2 - 10*i + 28. Does 25 divide o(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, -2, -3, 59, -11\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 399 and 2907?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1857013, -1857011, -1857009, -1857007?\n\"Answer: 2*f - 1857015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*y**3 - 49*y**3 - 3 - 44*y**3 + (2*y + 0*y - 4*y)*(4*y**2 + 0*y**2 - y**2).\nAnswer: -133*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19454196, -38908392, -58362578, -77816748, -97270896, -116725016?\n\"Answer: k**3 - k**2 - 19454200*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -10*n**4 - 22*n**3\/3 - 36. Find the third derivative of q(f) wrt f.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-417*c**2 - 2*c + 1046*c**2 + 425*c**2 + 2*c)*(3*c - 5*c - c) to the form l*c**3 + f + g*c + j*c**2 and give l.\nAnswer: -3162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -33*(-20)\/(-60)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3226, -3215, -3196, -3169, -3134, -3091?\nAnswer: -3040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7) + 1)**2 - (sqrt(112) + 0)**2.\nAnswer: -144 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**5\/20 + 5*x**4\/12 + 3*x**3\/2 + 87*x**2\/2 + 2273*x. Give q(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00105551963 to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 times -43.382?\nAnswer: 1822.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 38*v + 1775. What is i(-43)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/12*(-16632)\/(-7840) and 27\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 70, 106, 142, 178, 214?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1185 take away 0.09761?\nAnswer: -1185.09761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - z + 1. Let q(t) = -8*t**3 - 7*t + 4. Let l(h) = q(h) - 4*w(h). What is the second derivative of l(d) wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 5. What is u(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 8*c - 5216 + 5234 + 4*c + c**2.\nAnswer: 2*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 6. Let g(m) = -m**3 - 14*m**2 - 25*m + 36. Let v be g(-12). Suppose 3*u + p - 22 = 0, f*u - 4*p - v = -2*u. Solve n + 3*n = u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761790 a multiple of 1193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31274, 248368, 837620, 1985108, 3876910, 6699104?\nAnswer: 10637768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 + 5*d**2 + 3*d**2 + d**2. Let r be v(6). What is the units digit of r\/66 + (-2)\/(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 9, 26, -4456\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/10*10\/(-4). Let c = 61\/329 + -2\/47. Let i = 0.3 + -1.3. What is the closest to i in c, l, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-2 - 6) - -14 - 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 71 and -159997626.03.\nAnswer: -159997555.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12216 = -10*u + 54106. Is u less than 4185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4970 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -39*c**2 + c - 1754. Let r(j) = -7*j**2 - 351. What is -2*n(t) + 11*r(t)?\nAnswer: t**2 - 2*t - 353","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9865 divided by -36\nAnswer: -9865\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36617408905 and 0.16.\nAnswer: -36617408904.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-l + l - l) + 177*l - 79*l + 70*l.\nAnswer: 167*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.33? (a) 0 (b) -7 (c) 3 (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0299 + 4.9701. Which is the smallest value? (a) -0.1 (b) 7\/11 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(52) + sqrt(13)))*2 + sqrt(39)\/(sqrt(6)\/sqrt(2)))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 32. Suppose x = 3*i - 8 - 19. Let y = -2 + i. Calculate the smallest common multiple of 8 and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwwcccwcwwcwcwcc. Give prob of picking 1 c and 2 w.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-304)\/40)\/((-38)\/95)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -47*c**2. Let q(s) = 4*s**2 - 8*s - 8. Let p(f) = -6*f**2 + 10*f + 10. Let h(m) = 4*p(m) + 5*q(m). What is h(r(x))?\nAnswer: -8836*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-8) + 0\/2. Suppose -2*u + 37 = -c. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 38624, 39396, 40168?\n\"Answer: 772*r + 37852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o - 3*q - 22, o + 5*q + 32 = 0. Let j = o - -56. Let h = -21 + j. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20664 + -20664. Let x(p) be the second derivative of 0*p**4 - 34*p + 1\/20*p**5 - 19\/3*p**3 + 0*p**2 + q. Find the second derivative of x(g) wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*a + 97, -a - a + 48 = 2*h. What is the third derivative of 43*j**3 - 78*j**3 + 35*j**3 - h*j**5 + 32*j**2 wrt j?\nAnswer: -1500*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -6, -1\/4, 0.4, -77\/2, -0.0954, -3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n - 29*n = 503. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69 in 4, -3, -0.3, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(63) + -3)*-2 + sqrt(343) + 0 + 5)**2.\nAnswer: -640 - 110*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-34))\/((-6)\/102).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(1\/4)*h**(-5\/12)\/h assuming h is positive.\nAnswer: h**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09689611 and -3.\nAnswer: 0.29068833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36531\/1586 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/20*((-22)\/(-11) + -6). Let o(k) = -k**2 - k. Let r(y) = -2*y**2 - 1. What is s*r(n) + 4*o(n)?\nAnswer: -2*n**2 - 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-892 - -878) + (-1 - -5 - 70) + 1.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from zdzjaahaazzizahzd.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 divided by 21541?\nAnswer: -81\/21541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 401034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -166*s - 3283. Give c(-20).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*w + 2491*w**2 + 8*w + 5681*w**2 + 4244*w**2.\nAnswer: 12416*w**2 - 32*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -5, -4, 8, 117.\nAnswer: -5, -4, -3, 4, 8, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 3*h + 31, 0 = -78*x + 107*x + 5*h - 207 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 0*u**5 + 0 + 0*u**2 - 2*u + 0*u**6 - 3\/56*u**8 + 1\/4*u**4 + 0*u**7 + 0*u**3. What is the third derivative of y(g) wrt g?\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6551*302.9\nAnswer: 1984297.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**2 - 1026. Let l(c) = 1518*c**2 + c. Give j(l(p)).\nAnswer: 3036*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + -57. What is the third biggest value in m, -4, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17095881 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3 - 0)\/(4\/(-24)). Let m be ((-132)\/110)\/(i\/(260\/3)). Which is smaller: -51 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 27072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 655218 or 654843?\nAnswer: 654843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7517 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 9207\/55871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 13*b**3 - 6*b. Let t(p) = 77*p**3 - 35*p. Let v = -4727 - -4762. What is v*i(j) - 6*t(j)?\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**4 - 4*x**4 + 0*x**4)*(4 + 1 + 0)*(-2*x + 0*x + 4*x)*(-2 - 15 + 22).\nAnswer: 100*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**4\/2 - 20*x**3 - 59*x**2\/2 - 20*x + 8747. Give v(-29).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78 - -39) + 105 - 65.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdxxxksdkxsaxdx. Give prob of sequence sxds.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.393359 centuries to months.\nAnswer: 4072.0308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 445994187 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**3 - 3*n**2 - 2*n + 4. Let k be g(2). Solve -10*v = -14*v - k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 3:13 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4380312*g + 1192288 wrt g.\nAnswer: -4380312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/7))**21*((n*(n\/n**(9\/5))\/n)\/n)\/(n\/(n*n**(-1\/7))) assuming n is positive.\nAnswer: n**(-383\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -12. Suppose p*s = 4*s - 4. Suppose 2*z - 19 = o, s*o = -3*z - 2*o + 1. Solve z = -5*a - 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -6*r + 20. Solve -r*h + 8 = -0*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2. Let s(w) = 182*w**2 - 4. Give s(i(m)).\nAnswer: 182*m**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*n + 6808 - 729 = 1023 for n.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.9 (c) -2\/11 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 81359, 2 in descending order.\nAnswer: 81359, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b**3*c + 705*b**3 + 10*b - 2*c + 879 wrt b.\nAnswer: 42*b*c + 4230*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -3 (c) 12 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from {g: 5, x: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1178, -2324, -3446, -4544?\n\"Answer: 12*h**2 - 1182*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3322*v = -3409*v + 1131 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**5 + h**4 - 168663*h**3 + 6*h**2 - h - 77369?\nAnswer: -60*h**2 + 24*h - 1011978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98 + -54. Suppose w + p = -0*w + 11, 0 = 4*w + p - a. Suppose -w = -2*t + 1. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -d + 424, -4*m = 467*d - 468*d + 433. Calculate the highest common divisor of 4554 and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/1 + 8 - (-2 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4322, -4366, -4440, -4544, -4678?\nAnswer: -4842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(3 + (-400)\/130).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001100 (base 2) in base 8?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7171\/119 - 1022\/17. Let o = 0.27 + 27.73. Put w, 2\/15, o in decreasing order.\nAnswer: o, w, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 183380823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -240*h - 61*h**3 + 240*h - h**2 in the form f*h**2 + u*h**3 + o*h + n and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 + 0)*(-2 - 1 + 2) + 2 + 1 - 13)*(-t**5 + 3*t**5 + t**5).\nAnswer: -36*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w**3 - w**2 + w**2 + (-3*w + 4*w + 0*w)*(-2*w**2 + 6*w**2 - 2*w**2))*(0 - 5 - 1) to the form v + j*w**2 + a*w**3 + m*w and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204353, 407941, 611529, 815117, 1018705?\nAnswer: 1222293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/60879 and -74\/21.\nAnswer: 60879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 20*v - 326. Let t be x(16). Sort -1\/10, 4\/37, t in ascending order.\nAnswer: t, -1\/10, 4\/37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r. Let s be n(1). Let a = 7 - s. Is 3 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*u + 4*w, 2 + 24 = 3*u + 5*w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3657761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16201\/4 + 4025. Let v be (2 - 4) + (-128534)\/(-32). Let m = v - 4017. What is the common denominator of d and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44 + -70.4?\nAnswer: -70.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13228.63955 rounded to one dp?\nAnswer: -13228.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73030 = 2*s - 4*v, s = -s - 5*v + 73048. Let h = 1095383\/30 - s. Find the common denominator of h and 37\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 70588\/8 - 4\/8. Suppose 34*n = 35*n - i. Let v = n - 5170. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6 - 19) + 8 - -5) + (-3 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2196 and 5.\nAnswer: 10980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 47*p**3 + 12839*p**2 + 20*p**3 + 20.\nAnswer: -27*p**3 + 12839*p**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2349.\nAnswer: 5\/2349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 9:16 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5056 and 1507952?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**5 + 4960*y**4 + 1542552*y**3 + 3070240*y**2 + 1532644*y = 0.\nAnswer: -619, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -86*j + 474. List the prime factors of a(-44).\nAnswer: 2, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 12*s + 15. Let b be x(12). Let k = 31 + b. Suppose 0 = -2*w + k - 14. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + -2 - (-279 + 45 - -123).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -399. Let v = x - 365. Let i = -383 + 1136\/3. What is the fourth biggest value in v, -4, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 9*d**2 + 9*d - 12. Suppose 9*s - 531 = -1395. Let o = 86 + s. What is q(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 14 + 144 = 0. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1072 = 245. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -440*z + 2*z**2 + 109*z + 23 + 110*z + 115*z + 110*z - z**3 in the form b*z + m*z**3 + t*z**2 + n and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.516512nm to centimeters.\nAnswer: 0.0000007516512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 0*x + 0*x**2 - 1 - 1\/16*x**4 - 1\/12*x**3. Solve o(d) = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-2))\/(4\/212) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1587 (base 12) to base 6.\nAnswer: -15451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 297548 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4820144454?\nAnswer: 2, 3, 23, 541, 21521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154, 159, 176, 211, 270?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10057199?\nAnswer: 59, 373, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6552434 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*q - 10*q - 1720 = -q for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 1. Let z(g) = -16*g**3 - 4*g**2 - 17*g + 4. Let n(j) = 4*h(j) - z(j). Find the second derivative of n(v) wrt v.\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*g**3 - 65*g**2 + 150*g.\nAnswer: -5*g*(g + 6)*(3*g - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3)*f)\/f**(-6)*(f\/(f\/f**(-1\/2)))**13 assuming f is positive.\nAnswer: f**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/6)\/5*-4. Suppose -3*t = j*k - 27, 4*k = -t + 47 - 8. Let q(p) = 2*p + 3. Let y be q(k). Calculate the highest common factor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -21*j**2 - 339*j - 39. Let k be b(-16). Let f(r) = -2*r + 8. Let l(n) = 2*n - 8. Let w(i) = 3*f(i) + 4*l(i). What is w(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 15 + 7 = 4*p - 6*p, 5*p - 35 = -8*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -121.03, 47, -2\/7?\nAnswer: -121.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/20)\/((-1059)\/(-706))*6\/(-4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 136*k + 1802. Determine w(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4 (b) -7 (c) -0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 39 = 51. Solve -3*d - 4*k + 18 = 0, 3*d + k = r + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 8*n - 4. Let i be a(5). Let h = 19 + i. Suppose -2*f = 2*v - 20, -v + 0*v - 4*f + 7 = h. Is 10 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221012111012 (base 3) in base 12?\nAnswer: -632212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -290, 5, -21, 1, 13, 3 in decreasing order.\nAnswer: 13, 5, 3, 1, -21, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*sqrt(288) + -1 + sqrt(288) + (sqrt(288) - 2*sqrt(288)).\nAnswer: 4 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -250, 57, 932, 2375, 4386?\n\"Answer: 284*n**2 - 545*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 + 2643*i**2\/2 - 10575*i\/4 + 1322.\nAnswer: (i - 1)**2*(i + 5288)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -253634*l**5*z + 3*l**2*z + 93*l**2 + l*z + l wrt l.\nAnswer: -15218040*l**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**3 + 2*u**3 - 4*u**3 + 2)*(-11*u - 4*u + 18*u) to the form y*u**3 + r*u**2 + m*u + o + x*u**4 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 28*s - 161. Give u(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30565?\nAnswer: 5, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 796.5 + -879. Let d = c + 82.50001284. What is d rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21081.615 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y - 298264 = 0. Suppose -2*z = 3*z + 92830. Let x = y + z. What is x rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -24, -12, 3 in descending order.\nAnswer: 3, -5, -12, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32.4 + -30. Let a = -0.1 - -0.5. Let y = z - a. What is the second smallest value in 5, y, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 8*p - f + 21, -p - f + 1 = 0. Let g be (-10)\/(-4)*52\/65. Suppose 2*d - 2*w - 7 = -3*w, g*w = -p*d + 19. Sort d, 8, -2 in ascending order.\nAnswer: -2, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4970 + 4975. Which is the second smallest value? (a) x (b) -2 (c) -0.07 (d) 28\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -302, -603, -904, -1205, -1506?\nAnswer: -1807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 2. Let h be q(3). Let r be (-935994)\/h - 21\/(-28). Round r to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2213.3 rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1222003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 20. Solve -c = r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63885 is divided by 15853.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20841?\nAnswer: 3, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 12*f**2 + 17 + 4*f - 21 + 4. Let k(i) = -2*i**2 - i. Let c(m) = b(m) + 4*k(m). Let h(z) = -z. Calculate h(c(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 4*s + 2237. Is m(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -344, -1297, -3152, -6209?\nAnswer: -10768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/6 (b) 1.92 (c) -180 (d) -4 (e) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 7 = 3*i - y, i = 3*y + 9. Solve 3*k + i*k = 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.00409, -6, 5 in increasing order.\nAnswer: -6, 0.00409, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -136 + 682\/5. Let y = -2 - -2. Let u = y + 0.1. What is the closest to 0 in -0.3, v, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from riiiiqiii. What is prob of picking 1 q and 1 r?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 963996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from srsrzzssrzrcs?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5cd + -d?\nAnswer: 5c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 119468175 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q. Let f(l) = 26*l**2 - 1759*l - 6. Give f(s(c)).\nAnswer: 26*c**2 + 1759*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31801894 by -1594.\nAnswer: -19951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u - 51. Let r be m(15). Solve 4*o = -5*d + r, 5*o = -d + 7 - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 13 = -5. Let q = 22 - 2. Which is greater: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -15*r + 3. Let q(k) be the second derivative of 7*k**3\/6 - k**2\/2 + 12*k - 1. Calculate -4*l(m) - 9*q(m).\nAnswer: -3*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -7\/90*h**5 + 0 - 5\/9*h**3 + 58*h**2 - 1\/180*h**6 - 11\/36*h**4 + 0*h. Suppose l(s) = 0. What is s?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = -4*c - 78. Suppose 3*n + v - 26 = 0, 4*n - v = -0*v + c. What is the remainder when 17 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6688179*f = 6688189*f - 990 for f.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(2\/7))**31)**(-44) assuming b is positive.\nAnswer: b**(-21824\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/2 + 49*y**2\/2 - 98*y + 30.\nAnswer: -(y - 10)*(y - 6)*(3*y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + j - 2. Let b(q) = -7*q**2 - 2047*q + 10. Determine b(t) + 5*y(t).\nAnswer: 3*t**2 - 2042*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*v + 2*x, 8*v + 5*x = 4*v - 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.3504419 centuries?\nAnswer: 3.504419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90\/413 + 4\/59. Which is the closest to 2\/5? (a) i (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 0.01 (b) 2 (c) -10.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101356454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66*6.307499.\nAnswer: 416.294934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.026591207 + 7715435.\nAnswer: 7715434.973408793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*c**3*k**2 + c**3*k - 89463*c**2*k**2 + 271060*c*k - k wrt k?\nAnswer: 24*c**3 - 178926*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4 = 11. Suppose 4*s + 2 = 3*i - 5, 4*i = o*s. Let k(q) be the first derivative of -q**4\/4 - 4*q**3\/3 - q**2 - 5*q - 3. Give k(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.5 - -1.5. Let d = h + 9.3. Let j = -4661 - -4661.2. Sort j, -0.02, -3, d in descending order.\nAnswer: d, j, -0.02, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2210131 - -2011?\nAnswer: 2212202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2493, 4930, 7313, 9642, 11917, 14138, 16305?\n\"Answer: -27*b**2 + 2518*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5 = 0, -47 = 4*o - 5*g + 50. Let d be (29 - 0) + (-1 - 0). Let h = o + d. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/(83\/((-496672)\/(-68)))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/1142 (b) -1\/20 (c) 40 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from ppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3*y**3 - 490*y**2 + 142*y**2 + 323*y**2 to the form u*y**2 + p + g*y**3 + b*y and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27026.1200007 - -27026.1. Let z = -0.3 - -0.28. Let w = a - z. Round w to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 19*l**2 - 10*l - 5. Suppose 12*m - 13 + 73 = 0. Let i(s) = s**3 + 9*s**2 + 6*s + 3. Let h(f) = m*i(f) - 3*r(f). Factor h(p).\nAnswer: -2*p**2*(p - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b + 21*b - 32*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -77607 - -2400?\nAnswer: -75207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 123046?\nAnswer: 123050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/24 and 31\/265802836.\nAnswer: 1594817016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -62. Let j = -420 - -895. Calculate the greatest common factor of j and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1365079*j*r + 79888265*j - 67*r wrt r.\nAnswer: -1365079*j - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -269311\/56310 + 30\/1877. What is the common denominator of s and -5\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.65 + -0.00717.\nAnswer: -1.65717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -354239\/7 + 50391. Which is smaller: f or -214?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 358 and 4475?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 9:05 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j - 8*j + 1481 + 20*j - 1488.\nAnswer: 6*j - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000038943204 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/2)\/(21\/(-14)))\/(93\/(-3069))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 9) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, t: 4, q: 10, m: 2}. What is prob of sequence mkqt?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840\/(-84)*((-4)\/2)\/(-8).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28510.\nAnswer: 2, 5, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 6\/(-5) - (-34)\/170.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.006 - 7.094. Round k to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u + 5*u - 102. Suppose -29*i - u*i = -910. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g - 4*g + 0*g + 6*g as q*g + n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1207 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 816304*v**3 - 832416 wrt v?\nAnswer: 2448912*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t - 6. Suppose 9 = g - 2*c, -c = g - 17 + t. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, n: 1, s: 6, c: 1, i: 1, m: 2}. Give prob of sequence sivs.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-12)*(-28)\/(-70).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*1 - (4 - 4). Suppose -2*s + 8 = 7*o - 4*o, -2 = s + 3*o. Solve a*g + s = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9. Suppose -3*h - 14 = 2*g, -5*g - 634*h - 1 = -635*h. Let t(u) = u + 1. Calculate g*t(x) - z(x).\nAnswer: -x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 8:20 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4\/7 - 30*f**3\/7 - 3*f**2 + 84*f.\nAnswer: 3*f*(f - 7)**2*(f + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1028)\/(-4))\/(-1)*-9.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 954, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1 + (-9 - -24) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + m - 2. Let v be o(0). Suppose 46*y - 18 = 28. Is v <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, 4, 0, -4.\nAnswer: -12, -4, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4910 or 54026\/11?\nAnswer: 4910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*m + 135 - 15. Let t be ((-6)\/m)\/(3\/(-8)). Solve n - t = -0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/21)\/(4\/(-77)*11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1077676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 1:33 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 12378 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 69*b**2*k - 10564*b*k - 10*b + 17*k + 5774361 wrt b.\nAnswer: 138*b*k - 10564*k - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -4, -11, -0.3, 1.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -32*y + 589. Calculate the remainder when p(6) is divided by 35.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 20*n**2 - 50*n - 88. Determine u(23).\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, w: 2, z: 1, k: 1, p: 1, e: 1}. What is prob of sequence kw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**2 + 5*n**2 + 0*n**2 - 121 + 43. Let i(z) = -2*z. Calculate i(g(a)).\nAnswer: -2*a**2 + 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 393441 by -6.\nAnswer: -131147\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*s - n + 7 = 200*s, 6*s - 5*n + 35 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -62, -260, -712, -1544, -2882, -4852, -7580, -11192?\n\"Answer: -21*a**3 - a**2 - 48*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhhh when four letters picked without replacement from {v: 6, h: 11, t: 1}.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + -1 + (sqrt(13) - (1 + sqrt(13)) - sqrt(13)) - (((sqrt(78)*-3)\/sqrt(6))**2 - sqrt(13)).\nAnswer: -119 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3646175, -7292526, -10938889, -14585270, -18231675, -21878110, -25524581?\nAnswer: -29171094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**5\/20 + x**3\/6 - x**2\/2 - 13*x + 23. Let s(f) = -5*f**3 + 6*f - 1. Calculate -s(l) + 4*t(l).\nAnswer: l**3 - 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3 + 272*l**2 = 0 for l.\nAnswer: -272, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(228)*5*-3)\/(((sqrt(72) + sqrt(72)*-4)*3)\/sqrt(6)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 151*c - 9 + 3*c**3 - 140*c - 3*c**2. Does 75 divide m(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 4*p**2 + 2*p - 12. Let l be u(5). Let q = -19 + l. Let d = q + 3. Solve -2*b = -5*z + 6, -d*b + 2*b - 15 = 5*z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2523\/2*q**2 - 177\/2*q**4 - 2697\/2*q**3 + 0 + 0*q - 3\/2*q**5.\nAnswer: -3*q**2*(q + 1)*(q + 29)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j. Let p be 2\/23 + 489\/(-69). Let d be 0 + 1 - (-4)\/(-2)*2. Let a(m) = -10*m. Give d*a(h) + p*o(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**18\/v)*v)\/v*v)\/v)\/v*v\/v**(4\/5) assuming v is positive.\nAnswer: v**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -17*s**2 + 9*s + 10. Let v(q) = 4*q - 6*q**2 - 5*q + 3 + 0*q + 4*q. Let d be (4\/6)\/((-2)\/(-9)). Let b(a) = d*k(a) - 8*v(a). Factor b(x).\nAnswer: -3*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -h + 41. Suppose 5*q + 17 = h. Calculate the remainder when (-8)\/(-10)*q\/6 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-780)\/450*30\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2628 - -0.188. Round o to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - (sqrt(6)*2)\/sqrt(3)) + 0.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -706 and -0.5?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 21, 4, 2 in descending order.\nAnswer: 21, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 2\/11 (b) -0.044 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*m - 9*m - 6*m)*(3*m - m + m)*(-269*m - 30*m - 245*m) as u + h*m**2 + d*m**3 + b*m and give d.\nAnswer: 14688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 23 (b) -1.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.04, 3, 9\/7, -0.4.\nAnswer: -3, -0.4, 0.04, 9\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-2 + 0))\/(-5). Suppose -2*t + 704000 = -n*t. Round t to the nearest ten thousand.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-196)\/28*(-50)\/(-35))\/(2\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*y - y. Suppose u - y*k = -14, -2 - 36 = -3*u - 5*k. Calculate the common denominator of 155\/21 - (-2)\/u and -29\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4473 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -10. Is 1\/(((-3)\/4959)\/((-1)\/c)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-476)\/28798*22\/(-4)*33\/(-18)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 2*l**3\/3 + 7*l**2\/2 + 102*l. Let b(y) = -9*y**2. What is b(w(p))?\nAnswer: -144*p**2 - 504*p - 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2612914, 5225827, 7838740?\nAnswer: 10451653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2\/m)**(21\/4)*(m\/(m**(-10)\/m))**(-5))**1 assuming m is positive.\nAnswer: m**(-219\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 649 and 9256731.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 12. Suppose 0*x = q*x - 32. What is the tens digit of 99\/12*x\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 9*h - 5. Let i be y(-10). Suppose q - 167 = -i*n - 0*q, 0 = -n - 3*q + 25. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3)*(2*j - 6*j + 2 + 0*j) + (3*j + 2*j - 3*j)*(1 + 0 - 2).\nAnswer: 10*j - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 732\/671*(-1 + 23). Solve 18 = -s*o + 138 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 6*n**2 + 3*n - 3. Let y be l(6). Suppose 4468 = 10*h + 718. Let m be (-4)\/6*h\/(-10). What is the highest common divisor of m and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-1)\/((-3)\/495) - (3 - 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 6*m - 3*u + 40, 32 = -4*m - 5*u. Let f(d) = 41*d + 330. Let r be f(m). Factor 8\/5*x**r + 16\/5*x + 0 - 7\/5*x**3 + 1\/5*x**4.\nAnswer: x*(x - 4)**2*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.0464?\nAnswer: 0.0464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u**2 + 2*u - 3. Let p be r(2). Suppose -4*i + 5*k = -p, 0 = -2*i - i - 2*k + 13. What is the highest common factor of 45 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4768400 a multiple of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 25 + 24 + 3*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13535 (base 11) to base 14\nAnswer: 704d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 + 4865*z + z**4 + 0*z**4 - 2*z**3 - 1620*z - 1623*z + 532 - 1620*z in the form k*z + a*z**2 + t*z**4 + d*z**3 + f and give f.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/11, -1170 in descending order.\nAnswer: 2\/11, -3, -1170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4690188?\nAnswer: 2, 3, 19, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(171)*-2)**2 + 5 - (sqrt(171) + -3*(sqrt(171) + -2 + sqrt(171))))*-3.\nAnswer: -2047 - 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740 is divided by 73?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 59.3, -75, 897?\nAnswer: 59.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from mmmrrrr?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/3 + 1068274*s\/3 + 49149068\/3.\nAnswer: -2*(s + 46)*(2*s - 534229)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 32, -9, -86, -211, -396, -653?\nAnswer: -994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 2*b - 44 = 0, -58*w = -61*w - 4*b - 18 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/3)\/(w\/(w\/(w*w**(-2\/9)*w*w))*w) assuming w is positive.\nAnswer: w**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2024*r - 8. Let n = -2 + 10. Let t be q(n). Round t to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 45*h**2 - 116*h - 80. Suppose 0 = -3*m + 13*m + 100. Let x(f) = f**3 - 23*f**2 - 58*f - 40. Let i(z) = m*x(z) + 6*c(z). Solve i(k) = 0 for k.\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15488103?\nAnswer: 3, 149, 34649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 57, 111, 165, 219?\n\"Answer: 54*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -186, -103, 4, 129, 266, 409?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**5\/40 + t**4\/12 + 7*t**3\/2 - 13*t + 8. Let c(b) be the second derivative of y(b). Determine c(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 3:06 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 1. Let o be t(5). Let s be o + 3 - 2 - 4. Let k = -1 - s. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 63*k + 785. Let j be w(-46). Solve 5*t - j*f = -18, 19*t + 12 = 14*t - 3*f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14578 + 14646. Put b, -9, 0.5 in descending order.\nAnswer: b, 0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/(-3))\/((-4)\/6). Let c = -4 + z. Let p = 1 + c. What is the second smallest value in -0.3, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/5, -13, 2 in decreasing order.\nAnswer: 5, 2, -1\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -342909 greater than -342910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578200 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 11\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 159?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*l = -536 + 2330. What is the remainder when 81 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58878\/(-45)*35\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 25. Let x(h) = 9*h**4 + 11*h**3 - 2*h**2 + 2*h - 3. Let q(s) = -s**4 + s - 1. Let y(z) = p*x(z) + 3*q(z). Suppose y(f) = 0. Calculate f.\nAnswer: -1, -1\/4, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 + 78 = 8*h. Suppose h*b = 23655 - 1853. List the prime factors of b.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + 197.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 - 2*f**2 + 5*f + 10. What is k(-4)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 12 = 3*z, -3*z + 158 = 4*i + 146 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022722724.\nAnswer: 2, 255680681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3452449 and 28.\nAnswer: 13809796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -493, -1979, -4455, -7921, -12377, -17823?\n\"Answer: -495*n**2 - n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/5, -0.183, -1334\/3?\nAnswer: -0.183","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1644 is divided by 268?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50692 = 3479*w - 2145*w for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (70\/(-30))\/((-7)\/(-3)). Let y(s) = 29*s - 5. Let f(h) = -320*h + 56. Let v(r) = -5*f(r) - 56*y(r). What is v(u)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 = 28. Let g = a + -27. Let s = 24 + g. Solve -i = i + s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -401, -411, -423, -437?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3*(-54)\/(-3). Suppose t*a + s - 1550 = 7*a, -15 = -3*s. Is 23 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 11151649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20727)\/117 - 4\/(-26). Let d = b + 253. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24555429.\nAnswer: 3, 17, 19, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 484399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*p**5 - 267 + 267 - 4*p**5 - 1 + 1 - p**5 + 4*p**5 - 4*p**5 + (0*p**3 + 2*p**4 + 0*p**3)*(4 - 4 + 2*p).\nAnswer: 48*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -75*y**2 - 8*y + 7. Let n be m(1). Let d = 68 - n. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46492?\nAnswer: 2, 59, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -14) + -17 + 13 - (1 + 23)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + y. Let p be k(-2). Let v be 0 - (p + (1 - 2)). Let b = 11 + v. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-20))\/((-62)\/11264). Let x = y - -182\/5. Is 1 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120067 = 18*h + 3152333. What is h rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**3 + 6*b**2 - 11*b - 27. Let u(l) = 3*l**3 - 7*l**2 + 9*l + 27. Determine 4*k(h) + 5*u(h).\nAnswer: -h**3 - 11*h**2 + h + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(9\/4))\/(g\/g**(-22\/5)))\/(g**(1\/45))**23)**(6\/17) assuming g is positive.\nAnswer: g**(-1289\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 7986549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 56382632 less than -662791?\nAnswer: -57045423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 229 = -262. Let m be 21492\/594 - (-1)\/(v\/(-2)). What is the highest common factor of m and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-5 + 1 - (14 + 17)). Suppose 2*f + s - 20 - 5 = 0, 4*s - d = -3*f. Calculate the highest common factor of f and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*w + 67*w. Let d(l) be the third derivative of 0*l - 1\/24*l**4 - 3*l**2 + 5\/6*l**3 + w. Give d(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b - b + 5*b + 4*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**43*d*d**(1\/8)*(d**(1\/19)\/d)**45 assuming d is positive.\nAnswer: d**(227\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, g: 1}. What is prob of picking 1 p and 1 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-1) - 1)\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -397 in -2, -0.28, 0.5, -1\/51?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 421843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3798 divided by 3798\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10756751 (base 8) to base 6\nAnswer: -122214133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6093.874 + -2.\nAnswer: -6095.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1286033341?\nAnswer: 33851, 37991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12\/25 of a meter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1544 divided by 83.\nAnswer: 1544\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/7)\/((-5040)\/2646)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38594330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = d - 38, -4*d - 659*g + 645*g + 485 = 4*d - 47 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3857 = -5*u, -4*u + 11 = -5. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 8*x + 35. Let w be j(-11). Suppose 7*n = 8*n - w. Sort 1, 5, n in descending order.\nAnswer: 5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 9 - 11, -5*c + s = -25 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 126227 from -0.1656768.\nAnswer: -126227.1656768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 19 = -p, -2*i - i = -4*p + 23 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-6)\/15*-15. Let t be d\/9 + (-8)\/(-6). Factor 0*o**4 - t*o**4 - 4*o**2 + 7*o**3 - o**3.\nAnswer: -2*o**2*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -36 - -26)\/(1\/(-18))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 2. Let d be w(-5). Let m(v) = 2*v - 3. Let x be m(d). Let z be 7\/(-35) + x\/15. Which is the third biggest value? (a) 3 (b) z (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278 divided by 3404.\nAnswer: 139\/1702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 + f - 2*f**5 - f + 2 - 2 - 5*f**5 + (-f + f + 2*f**3)*(9*f - 9*f - 12*f**2).\nAnswer: -31*f**5 + f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*q**4 + 5)*(3*q - q + 0*q + (2*q + 5*q - 4*q)*(1 - 5 + 2))*(-4 + 2 - 2).\nAnswer: -32*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 11:22 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 2*k + 5. Let f = 0 - -3. Suppose -2*r - 7 = f. Does 10 divide m(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 4 + 8 + 3 - 6 - 2 in the form x + n*m and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 767, 1497, 2229, 2963?\n\"Answer: w**2 + 727*w + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idr when three letters picked without replacement from {w: 1, i: 1, d: 1, f: 1, r: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4149 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/11121 (b) 1\/5 (c) -0.5 (d) -5 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 49*u**5\/5 - 8*u**3\/3 - 75. What is the third derivative of a(v) wrt v?\nAnswer: 1176*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3241 not equal to -3245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/385)\/((-1)\/5).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yopu when four letters picked without replacement from utoypyu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 8*k**2 + 10*k. Let h(s) = 8*s**2 + 8*s. Let b(v) = -6*h(v) + 5*x(v). Let r(m) = -m**2. Calculate b(a) + r(a).\nAnswer: -9*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 79032 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g = 3*a + 57*g - 18, -5*a + 3*g - 7 - 1 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4494*i**2 - 1797*i + 2697 = 0.\nAnswer: -1, 899\/1498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 times 33352?\nAnswer: 2334640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262474 is divided by 748.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 - 52. Suppose -g + m*g = -2*f + 10, -g - 5*f - 21 = 0. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311, -693, -1075, -1457?\nAnswer: -1839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6249 <= 6249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, 9, 6, 1, -6, -15?\n\"Answer: -w**2 + 2*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 + 95.68. Let m = d + -0.78. What is the nearest to m in -51, 1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 + 14*i - 147.\nAnswer: -(i - 21)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 5*z + 1. Let t be g(5). What is the biggest value in t, 4, 6\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 divided by 163?\nAnswer: 679\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66.79 - -66.49. What is the closest to -4.3 in -0.4, -5, b, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (9 + 1) - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*l**2\/7 - 318*l\/7 - 64\/7.\nAnswer: 2*(l - 32)*(5*l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 + -76. What is the remainder when 42 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7427758 divided by 4.\nAnswer: -3713879\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 422 + -387. Let r = 2 - 4. Let s = g + r. What is the greatest common factor of 22 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510536?\nAnswer: 2, 13, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -94*154.3\nAnswer: -14504.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1 + (sqrt(13) - (1*sqrt(117))\/sqrt(9) - sqrt(13))*-3)*4*-5)**2 + 5.\nAnswer: -235995 - 12000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 5*v**2 + 10*v + 6. What is the hundreds digit of j(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b\/(b\/(b**(4\/3)*b)))\/b*b)*b)\/(b\/(b\/(b\/(b*(b**(2\/5)*b)\/b)*b))))\/(b\/(b*b*b**(5\/6)*b)*b**(2\/7)) assuming b is positive.\nAnswer: b**(43\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(75)*-1 - sqrt(75)) + sqrt(75) - sqrt(75))*-2*-2)**2.\nAnswer: 4798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1647533, 3295098, 4942675, 6590264, 8237865, 9885478?\n\"Answer: 6*y**2 + 1647547*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -2. Let q = 6.648 - 47.648. Which is greater: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/20)\/(3\/(-10)). Let f be (-6)\/t*16\/(-6). Suppose -f*l = -5*l. Solve -7*c = -2*c - 2*k - 1, l = 4*c - 3*k - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(2\/5))\/(c\/(c**(-2\/13)\/c))*(c*c**(-2\/7))**(-1\/23))**(1\/24) assuming c is positive.\nAnswer: c**(-8293\/125580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55\/3 - -19. Which is the nearest to -1? (a) w (b) 1\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggsgggggs. What is prob of sequence gsgs?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124156.\nAnswer: 2, 31039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (10 + 5 + -11 - 11) + -13\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r = -700. Is (-1 + 1*r)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 + 3*b**2 - 2*b + 4. Give x(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -692682 divided by -115447\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130.8497 rounded to 0 dps?\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f + 12*f = 78 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.8 * 8.\nAnswer: 54.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 1. Suppose -3 = c - 4. Calculate t(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = a - 7. Let q = -6 - a. Let i = q - -11. Which is smaller: -4\/13 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 380*y**2 - 4 + 12*y - 370*y**2 + 764*y**2 - 11. What is n(-13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6605 is divided by 141?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -59621519 and -97957.\nAnswer: -59719476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -22*c**3 + c**2 + c. Suppose 0 - 2 = 2*z. Does 12 divide d(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**0\/g)**(-17)*g**(4\/3)*g**(-3\/5) assuming g is positive.\nAnswer: g**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 21483152*g**2 + 28845363740944*g.\nAnswer: 4*g*(g - 2685394)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 13*m**2 - m + 17. Let j be 2\/(-2) - (-3 + -11). Let o be s(j). Solve 0*y - 3*y + 2*i = -11, -5*y - o*i = -11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/8 + 51\/56. Let i = -19\/42 + n. Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235706042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-2)*((-7 - -11) + 7). Let f(n) = -n + 8 - 31*n - g*n - 1. Calculate the lowest common multiple of 8 and f(-1).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 4, 1239?\nAnswer: 1239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -621 + 627. Solve 7*d + 2 = y*d - 3*p, -10 = d - 5*p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 4*y**2 - y**2)*(-3*y + 8*y - 7*y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s + 15. Let m be h(-3). Differentiate m - 2 + 2*o - 2 - 14*o wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 9*h - 17. Give n(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10333*v**4 + 6*v + 369331 wrt v?\nAnswer: 41332*v**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5040579 + 0.1?\nAnswer: 5040579.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44078275 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/2)*z)**(10\/11))**(-7\/4)\/((z*z**0*z*z)**(8\/15)\/(z**1)**(-34)) assuming z is positive.\nAnswer: z**(-8007\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6996\/10)\/(-13 + (-10448)\/(-800))?\nAnswer: 2, 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-1 + 5 - 8)*(3 - 3 - 2*z).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 0*p + 10*p**2 + 0*p**7 + 1\/8*p**6 + 0*p**4 + 0*p**3 + 0 + 1\/6*p**5 - 5\/336*p**8. Suppose l(g) = 0. What is g?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106 + 165 - 41)*(3*o - 2*o + 6*o) + (-2 + 4 - 1)*(0*o + 2*o - o).\nAnswer: 1611*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i - 6. Let m be a(-4). Suppose -2*k + m = 0, -x + k = 2*k - 6. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(171)*-6 + (sqrt(171) + 1)*5)*2 + -6*6*(sqrt(171) + 1*sqrt(171) + sqrt(171) + 1 + 1))**2.\nAnswer: 57408*sqrt(19) + 1858000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -4 (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2480, 2505, 2544, 2603, 2688?\nAnswer: 2805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1121064*i - 1121064*i + 4*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4932*p**3*w**2 - p**3 - 2*p**2*w**2 - 3*p*w**5 - 11483*p*w wrt w?\nAnswer: 9864*p**3 - 4*p**2 - 60*p*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*r - 17 = 2*r, 0 = -5*x + 2*r - 20. Let j be (-5 - -4)\/(x*2\/8). Solve 4*g = 4*f - j*f, 0 = 2*g + 5*f + 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14\/19 in -5\/3, -0.4, -1.73, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**3 - 9*v**2 + 7*v + 14. Determine b(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 337982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5480000 rounded to the nearest 100000?\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 59.\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-9)*-8*(-17)\/(-748).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94*i**6 + 6*i**5 - 11*i**4 + 57619*i**2?\nAnswer: 11280*i**3 + 360*i**2 - 264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - r - 1. Let c(t) = -4*t + 3. Determine -a(i) + c(i).\nAnswer: i**2 - 3*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2055 - -4530?\nAnswer: 6585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -1)*7\/(-14). Suppose 4*y + 5*p - 169 = u, 4*y - 2*p = -p + 139. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1459633 + 282*j**2 + 1459633 as i*j**2 + t + z*j and give i.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltam when four letters picked without replacement from {t: 1, l: 1, a: 7, m: 9, s: 1, v: 1}.\nAnswer: 7\/12920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, p: 1, x: 1, b: 1, s: 1}. Give prob of sequence hp.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/12 - 32\/3. Let f(t) = 2*t**3 + 144*t**2 - t - 81. Let g be f(-72). Is g not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 327 = -5*p, 15*p - 18*p = s - 203. Calculate the remainder when 203 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, -0.01, -1\/4, 3\/8?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**4 + 148*s**3 = 0.\nAnswer: 0, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 5*a**2 - 4*a + 2. Let k be r(4). Let t = k + 1. Suppose -q + 68 = t. Calculate the greatest common divisor of q and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 935, 1997, 3045, 4073, 5075, 6045, 6977, 7865?\n\"Answer: -y**3 - y**2 + 1072*y - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 4 + 4*q - 2*q. List the prime factors of h(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 49*v + 2. Let h be (-2)\/(-2)*-2 - -4. Let l be t(h). Suppose -2*i - 40 = 5*u - l, 0 = -4*i - 20. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-4)\/((-9)\/6 - 0)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/8 and -27\/380.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 34*t - 15*t**4 - 6*t**4 + 27*t**3 + 3*t**2 + 7*t + 12*t**2 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-4)\/((-8)\/(-2))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 0. Let y(p) be the first derivative of -p**4\/4 - p**3 - p**2 + 4*p + 35. Does 5 divide y(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 202.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 74 = -5*z - i, 3*z - 3*i - 48 = 0. Let o = z + -10. Suppose -n + o = 2. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*4 + 4 + -3. Suppose -6 - 4 = -b*j. Let w = -1 + 4. What is the third biggest value in w, -1\/10, j?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -957.\nAnswer: -957.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -2054152.\nAnswer: -2054152.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -322\/9. Let m(w) = w**2 + 5*w + 7. Let z be m(-3). Is x > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*s - 22. Let l(u) = 267*u**3 - 5*u**2 - u - 4. Let n be l(s). What is n rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (2 - (5 + -5)) - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1. Let i(n) = -6 + 17*n - 243*n + 235*n. What is 18*h(g) + 3*i(g)?\nAnswer: 27*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2 = -v, 3*v + a + 2 = -0. Let h(r) = -r + 2. Let n be h(v). What is the third derivative of -b**n + 3 - b**4 - 3 wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 0.5, 5, 4 in descending order.\nAnswer: 83, 5, 4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124463 is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-3) + 98\/(-328). Let u = -2\/41 - q. Let s = 28.3 - 26.3. Which is the second biggest value? (a) s (b) -9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22979*d**3 - 15129*d + 1.\nAnswer: 137874*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**6\/24 - 65*a**5\/2 + 485*a**4\/3 + 2278*a**2. Factor t(d).\nAnswer: 5*d*(d - 388)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + 4*s - 1. Let x be l(-3). Let w be (-16)\/(-140)*x\/2. Is -1 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(200) + sqrt(200)*-3 + sqrt(200))**2 + sqrt(200).\nAnswer: 10*sqrt(2) + 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 + 21. Suppose -l + 4*l - 2*t = p, -l - 3*t = -17. Let a be ((l\/(-6))\/2)\/((-2)\/(-6)). Round a to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 764208 and 23796588?\nAnswer: 856677168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + (sqrt(119)\/(sqrt(14)\/sqrt(2)) - sqrt(17)) + sqrt(153)\/(sqrt(63)\/sqrt(7)).\nAnswer: -5 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8424 = 30*h + 48*h. Calculate the lowest common multiple of 1 and h.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307393720 rounded to the nearest one hundred thousand?\nAnswer: 307400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 11*g - 4. Let a(s) = -s - 2. Let c be a(-4). Let r(q) = -5*q - 2. Calculate c*w(v) - 5*r(v).\nAnswer: 2*v**3 + 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwwrlrrlrlll. Give prob of sequence lllw.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 47195812?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*c + 57*c = 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 8, -5, -3.451, -8.6?\nAnswer: -3.451","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooovovoovovov. What is prob of sequence vvo?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 48.22. Let a = -0.05 + f. Let i = -0.17 - a. Round i to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - 8\/(40\/(-675)). Suppose l - 463 = -9*b. Let a = b + 233. What are the prime factors of a?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from cmammamommaoc.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 305876639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 1. Let i be m(-3). Suppose p - b = 36, 3*p = 5*b + 79 + 35. Let z = p - 33. Solve -i*w + 1 + 1 = z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 15. Let h(c) = 2*c**2 + 2*c - 12. Calculate the remainder when 237 is divided by h(w).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9992 = -67*a + 795. Calculate the remainder when 182 is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*i - 4*c + 12, 3*i = 3*c + 33. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11011120221 - -11?\nAnswer: -11011120210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/2)\/(35*85\/(-2975)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1\/8, -1, 0, -4, 1702?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/127309 and 15\/225239?\nAnswer: 2928107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 6:51 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -660 divided by 47084.\nAnswer: -165\/11771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m**2 + 45*m + 10 = 0. Calculate m.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - t)*(0 + 0 - 9*t)*(0*t**3 - 2*t**3 - 4*t**3 + (2*t**3 - 3*t**3 + 2*t**3)*(0 + 2 + 0) + t**3 - 4*t**3 + 4*t**3 + 3*t**3 + 2*t**3 - 3*t**3).\nAnswer: -9*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 smaller than -229\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b + 1. Let o be c(9). Let i = -61 + o. Solve i*d + 0*d = 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4594362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 21*s + 282. Give c(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1056*i - 12121. Give x(-11).\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*u - 2*u. Let z be 4 + u\/2 + 0. Find the third derivative of -2*q**5 - 7*q**2 + q**2 - 2*q**5 + 0*q**z wrt q.\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*h + 20*h - 13*h + 22*h + 14*h.\nAnswer: 107*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-8))\/(-7*6\/(-140)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53860951?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 3 + p + 5*p)*(2 + 5 + 20)*(5 - 5 - 1).\nAnswer: -54*p + 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*s + 85023*s**2 + 2560*s**2 - 50*s - 2*s**3 + 1044*s**2.\nAnswer: -2*s**3 + 88627*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.16 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -33, 1, -11, 7, -4.\nAnswer: -33, -11, -4, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104637 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0144988 to 5 decimal places.\nAnswer: 0.0145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2823439323?\nAnswer: 3, 73, 751, 17167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 * 35.\nAnswer: 6.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 8 = -19*v. Let c be 4\/v*1*-10. Suppose 58 = c*l - 12. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-6 - 1 - 8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001100101101 - 1000011001?\nAnswer: -110010101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, z: 3}. Give prob of picking 3 u and 1 z.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1465 - -1468. Let s(f) be the second derivative of 0 - 1\/33*f**4 + 9\/110*f**5 + 0*f**2 + 0*f**t - 9*f. What is l in s(l) = 0?\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 + 2477*l\/4 - 619.\nAnswer: -(l - 2476)*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-30)*(-3)\/((-81)\/45). Let s = -143.2 + 143. Put o, s, 5 in increasing order.\nAnswer: s, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5859 divided by -27\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*i**2 - 22*i**2 - 20*i**2.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/5)*a*a*a**(-4\/3))\/(a**(2\/3))**(-4\/23) assuming a is positive.\nAnswer: a**(274\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 8*k - 894. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o**2 + 0*o)*(-2976 - 217*o + 1491 + 1485)*(-3*o**2 + 3*o**2 + 2*o**2).\nAnswer: 434*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**2. Let j = -6 + 12. Let p(n) = 2*n + n**2 - j*n + 4*n. Give b(p(y)).\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-4)*(83 + -87)\/(20\/(-21818)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6007, -5163, -3757, -1789, 741?\n\"Answer: 281*l**2 + l - 6289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -86894, -86902, -86914, -86930, -86950, -86974?\n\"Answer: -2*f**2 - 2*f - 86890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2929159 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 180, 222, 292, 390, 516, 670?\n\"Answer: 14*k**2 + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 353, 0, -4, -1, 3 in ascending order.\nAnswer: -51, -4, -1, 0, 3, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149*p**6 + 199*p**2?\nAnswer: 17880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/8*(-20)\/50*78\/13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2449092 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**9\/15120 - o**8\/3360 + o**7\/2520 - 5*o**4\/12 - 8*o. Let l(j) be the third derivative of g(j). Find d such that l(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12714.26 * 0.45.\nAnswer: -5721.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -273 by 5.\nAnswer: -273\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 286328205 to the power of 1\/2, to the nearest integer?\nAnswer: 16921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 37, 35, -0.3?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*2\/264*6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -3\/11 (b) -18 (c) -10.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + (-6*-1*sqrt(1700) - sqrt(1700)) + sqrt(1700) + 5)**2.\nAnswer: 1080*sqrt(17) + 61279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15002478 divided by 1666942\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 2977 - 89 = 0. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 - 17*k**2 + 16 + (-3*k + 2*k + 14*k)*(-139*k + 2 - 2 + 96*k).\nAnswer: -576*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -3*s + 2, 4 = -2*z - s - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*w - 231, 0 = 2*w + 4*o - 24 - 72. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (0 - (-9 - -6) - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, w: 8, x: 4, j: 1, g: 3}. What is prob of sequence xxg?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 6*v + 7*v + 322, 0 = -5*s - 4*v + 792. Calculate the highest common factor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -108\/9121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1125)*-4 + sqrt(45))*-1)\/(sqrt(45)\/((sqrt(110)\/sqrt(2))\/sqrt(11))).\nAnswer: 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3333 is divided by 139.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -64*k - 1. Let u = 14 - 14. Let x = u - 1. Let v be j(x). What is the highest common divisor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(5\/20*-4). Let b be (1 - 3\/2)*-6. Sort c, b, -2 in increasing order.\nAnswer: -2, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**5\/60 + 11*y**4\/24 - 3*y**3\/2 + 2*y**2 - 33*y. What is b(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 45, -4, -103, -270?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*y - 1130 = 0. Suppose y = 2*z + 42. Suppose z = 3*m - 7. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 24. Suppose 96 = 21*v + 54. Suppose h = 3*p - 20 - 31, -p - v*h + 17 = 0. Determine y(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*r - 19*r**2 + 17*r - 117386*r**3 + 19*r**2.\nAnswer: -117386*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8*26\/(-39).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s + 20. Let i be v(6). Suppose -y - 3*m = 13 - 4, 2*m = i*y - 14. Solve 0 = u - 1, -y*p + 3*u - 15 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15067 (base 8) to base 7.\nAnswer: -25365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 622530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*h - 27*h - 2191. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, -1\/4, 2, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 91 = 3*z, 0*z + z + 95 = -m. Calculate the remainder when (6\/6)\/((-2)\/m) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgallaaalgaaaggl. Give prob of picking 2 a and 1 l.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 205 + -225.2. Round f to 0 decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**3 - 11*s**3 - 5*s**3 - 35*s**3 - 8*s**3 + 79*s**3 - 9*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9954 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 62, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -748*v**2 + 748*v**2 + 141*v**3 + (-2*v - 3*v + 3*v)*(3*v**2 + 0*v**2 - 5*v**2) + v**3 - 5*v**3 + 0*v**3 + (-3*v - v + 6*v)*(-4*v**2 + 6*v**2 - v**2).\nAnswer: 143*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -9. Let s = 241943\/30 - 8064. Let t = -1\/6 + s. Which is bigger: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apua when four letters picked without replacement from {p: 2, b: 1, g: 3, u: 3, a: 2, i: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 32 = -17. Let b be 1*(-2)\/(-15) + 0. What is the nearest to -2\/9 in 1, g, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 8*b - 2. Let v be g(9). Let r(f) = f**2 - 5*f + 7. Does 6 divide r(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(-22)*((w*w\/(w*w**(-3)*w*w*w)*w)\/w)\/w*(w*w**(-3))\/w assuming w is positive.\nAnswer: w**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 675 and 55179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 43*i**3\/3 + 15*i**2 + 55*i - 188. Is y(-2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52213.35 decades in months?\nAnswer: 6265602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/7 and 15\/442.\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 915, 914, 913, 912?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 14.54\nAnswer: 14.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0398332413 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 - 380 + 131 + 128 - 6*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000079808 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 + 7*g - 7. Let y(k) = -k**2 - 3*k + 1. Give v(x) + 2*y(x).\nAnswer: x**2 + x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 10*w**2 - 531*w + 560. What is t(52)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + 7*a + 1. Suppose -2 = -q + 3. Give h(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-238)\/(-63) + 140\/(-126). Which is the nearest to r? (a) -0.5 (b) -9 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -391 (base 12) to base 3\nAnswer: -202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2072115 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/1 - -4 - (-80)\/(-5). Does 23 divide 17\/(-4)*(l - (-2 + 1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/8 - (-3)\/(-8). Are r and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5464 and 1993657876.\nAnswer: 2732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -13.5 (b) -1 (c) -143\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89867*z**2 - 43507*z**2 - 46361*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 39?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -13. Find d such that r + 2*d**2 - 15 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*k - 13 + 154 = 2*w - 227, 0 = -15*k + 11*k + 32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 277752503*k**3 - 227076412.\nAnswer: 833257509*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 21*d + 36 = 0. Solve 2*i + 3*g + d = 0, -4*i + 20 = -g - g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -6*a + 35. Suppose 0 = -c + 4*v - 9*v + 48, -5*v - 330 = -5*c. Let u = a + c. Calculate the greatest common factor of 28 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ddc (base 15) in base 12?\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 4*r - 5*r)*(26 + 33 - 90)*(1 - 3 + 3) to o*r + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 95701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 80741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24837632 (base 9) in base 13?\nAnswer: 26aa27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-2))\/((-4173)\/(-16692)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a + 2*a + 3 + 3*a. Let k(p) = -p - 1. Let v be (-1 + (-8)\/(-4))*-1. Calculate v*b(t) - 2*k(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 731608 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from {p: 2, y: 5, c: 1, n: 1, s: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*j + 4 + 2, 12 = 5*j - w. Let k = 43 - 19. What is the greatest common divisor of j and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.5 + -4. Let d = y - 19.5. Let w = 7 + -12. Which is the nearest to -2\/11? (a) w (b) 1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(((-5)\/(-30)*-4)\/(16\/(-72)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5554 (base 13) to base 6\nAnswer: -131031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 632150 divided by -3.\nAnswer: -632150\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = q - 23. Let c(u) = -5*u - 12. What is the remainder when q is divided by c(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 4*h + 22. Let k be i(8). Let u = -63 - k. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (396\/(-8))\/((-2)\/32*3). What is the highest common divisor of q and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 287*t + 55.\nAnswer: 287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -218, -369, -502, -611, -690?\nAnswer: -733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 905073202 to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9780 + 10089. What is the remainder when j is divided by 109?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.8293+-64653\nAnswer: -64658.8293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 27*a + 26. Let y be w(-26). Suppose y = -2*j + n + 20, 0 = 3*j + 3*n - 0*n - 12. What is the smallest common multiple of j and 58?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-7)\/49*2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 11 = 2. Calculate the remainder when 2\/t*-174 + 6\/2 is divided by (48\/(-14))\/(2\/(-14)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3*3\/(-2). Let s(g) = -g**2 - 23*g + 2638. Let l be s(-64). What is the third smallest value in 2\/7, l, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.43696 (b) 0 (c) 122.43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -o. Suppose o = -2*v - 2*v + 4. What is the units digit of 4 - ((-1)\/1 + v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 6*d - 11. Let g(c) = -c**2 - 7*c + 12. Let n(m) = -5*g(m) - 6*l(m). Give n(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791.1929 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 58. List the prime factors of i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-3)\/(-6)*(730\/(-10731))\/(15\/54).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221212 - 10?\nAnswer: -1221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 497233 or 497238?\nAnswer: 497238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 446*f + 2798. Calculate the lowest common multiple of a(-5) and 852.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*i - 4862 = -4602 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/7 + 291*q\/7 + 12798\/7.\nAnswer: (q + 54)*(q + 237)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25911 and 963.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*o - o + 0*o)*(-2 + 4 - 1) + 2*o - 1 + 1 + 0*o - 2*o + 3*o + (5 - 4 - 3)*(1 - 1 + 2*o) + o + 2*o - o)*(3 + 3 - 2) to w*o + t and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.64341 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 11*q**2 - 13*q - 4. Let w be o(-12). Let g be (-228)\/(-14) - 2\/7. Calculate the highest common divisor of g and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28344\/108)\/((-4)\/6). Let z = 15329\/39 + y. Which is smaller: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1232 - -1256. Solve -45*q = -57*q - l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6304280 is divided by 868?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 2 + 0*p - 1. Let c = -336 - -337. Calculate the lowest common multiple of f(4) and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*k**5 + 3*k**3 + 294*k?\nAnswer: 540*k**3 + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 - 256*m + 5. What is the remainder when (266\/(-95))\/(2\/(-5)) is divided by r(64)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592327 = -5*k + 212673. Round k to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 243463.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 537 - 411. Suppose -6*d + a = 3*d. What is the greatest common factor of 70 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -311*c**2*z**4 - 276*c**2*z**2 + c*z**4 wrt z.\nAnswer: -7464*c**2*z + 24*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19.42? (a) -35 (b) 4 (c) 0.1 (d) 2\/3 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*c + 23*c + 2 - 14*c)*(-2*c**4 + c**4 + 3*c**4).\nAnswer: -10*c**5 + 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104*y - 184*y - 19*y to r + k*y and give k.\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1384 + 54016\/39. Let r = u - -268\/195. Solve 39\/5*m**4 - r*m**3 - 12\/5*m**2 + 0*m + 0 - 3*m**5 = 0.\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1752\/32057 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, h: 1, m: 2}. What is prob of sequence ma?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 31894980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31260148?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 32. Let w be m(13). Let y be (-2 - -2)\/1 + w. Calculate the greatest common divisor of 76 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a milligram in micrograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10612 is divided by 1030.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 9*d**5\/20 + 2903*d**2 - 2. Let z(b) be the second derivative of -b**4\/6 + b. What is z(o(f))?\nAnswer: -1458*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r + 199. List the prime factors of p(-34).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -37. Suppose h - 8 = 5*q - 3, 5*h - l = -2*q. Let w(x) = 6*x**2 + 17180385 - 4*x - 17180385 - x**3. Calculate w(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20149 divided by -2\nAnswer: -20149\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8818 + -8818 - (5 + -4 + (-1 - 125))\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1845964kg?\nAnswer: 184.5964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*c = 0. Suppose -5*t + 13 - 3 = c. Solve t*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 6:20 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrww when four letters picked without replacement from {r: 2, w: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220100121 + -112010?\nAnswer: 1212211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2662 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*l**2 + 1229 - 1229.\nAnswer: 34*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4868 + 4893. Solve 19 = -5*u + 2*k, -6*k - h = 2*u - k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (3 + 0 + (357 - 363))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(((t**(3\/8)*t)\/t)\/t)))**(1\/4) assuming t is positive.\nAnswer: t**(3\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -624, -612, -592, -564, -528, -484?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 + 83 = 33*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5399977 and 6182?\nAnswer: 3091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8133945 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 17*r + 8*r + 10*r + r - 5*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 24, -g = 2*a - 4457 + 4439 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-72)\/(-20) + -3)\/(21\/10). Put a, -5, 3\/8, -0.5 in increasing order.\nAnswer: -5, -0.5, a, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 3. Let m(d) = -6*d + 3. Let t be m(w). Let p(v) = -v**2 + 8*v + 131. Let l be p(16). What is the greatest common factor of t and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-2))\/(17*(-38)\/14858)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -1)*-3 - -2. Let u = 9 - 13. Let w = q - u. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 - -0.06. Let s = -3.03 + u. Let y be 198\/108 + 2\/12. What is the nearest to y in s, -1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 25807732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76947 and 39?\nAnswer: 76947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 3 (c) 241 (d) 5\/8 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 591 (c) 213 (d) -5 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7846.\nAnswer: 2, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1278879835 to the nearest integer?\nAnswer: 35761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2. Let m(x) be the second derivative of x**6\/240 + x**5\/24 + x**4\/6 + 3*x**2\/2 + 39*x. Let v(y) be the third derivative of m(y). Give v(c(b)).\nAnswer: -6*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -197, 972, -7 in increasing order.\nAnswer: -197, -7, 4, 972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 - 0.05. Let f = -50 - -26. Let p = f + 23.6. Which is the third biggest value? (a) w (b) 2\/23 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**4\/6 - 25*j**2\/2 + 6*j. Let p(l) be the first derivative of -l**3\/3 + 17. Determine p(t(u)).\nAnswer: -4*u**4 + 100*u**2 - 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*s - 212, -3*g - 4*s + 218 = -2*s. Round g to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 9) to base 15.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 89) + -3 - (-95 + 21 + 64).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41730149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 11. Let s = j - -14. Let q be 2*1*(-2)\/(-24). Which is the third smallest value? (a) q (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, p: 5, f: 1, z: 7}. What is prob of picking 1 p and 1 f?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 683354319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(98) - (sqrt(98) + (sqrt(98) - (sqrt(98) + -3)) + sqrt(98) + sqrt(98))))**2 + 5*(2*sqrt(98))**2)*3.\nAnswer: 9072*sqrt(2) + 49188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1880.2841 - 1880. Let w = t + -0.27. Round w to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8568.685632 rounded to the nearest one hundred?\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n = -0*n - 72 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 2 - 4. Suppose a*y + 0*q = -q - 2, -2*y + q = 2. Let h(k) be the second derivative of 5*k**3\/6 + k**2\/2 - k. Calculate h(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - s = -13 - 6, 0 = -4*w + 5*s + 73. Suppose 2*m - 20 = -2*z - z, 0 = -3*z + 3*m. Calculate the remainder when w is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1181 - -2760. Suppose -4*k - 3*y + t = 0, -k - 8*y + 406 = -5*y. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13048 and 162867.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 + 17171455?\nAnswer: 17171506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*i + 18, 16 = -6*o + 8*o + 3*i. Let b(v) = -258*v + 4*v**o - v**2 - 3 + 255*v - v**3. What is b(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116034749 or -116034750?\nAnswer: -116034750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.06 - 1.06. Suppose 0 = -4*q - 0*s - 5*s + 57, 0 = -q - 3*s + 23. Let j be 6\/q + (-1)\/2. Which is the closest to z? (a) 0.2 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*d + 38. Solve 3 = -4*i - 3*c + d, -1 = -4*i - c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -56*c**3 + 2*c**2 + c - 2. Let p be x(-2). Let s be (-20 - -20)\/(-1 + 2). Suppose s*n = 4*n - p. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-6*sqrt(6480)*6)\/(sqrt(576) - (sqrt(576) - sqrt(576)*-3) - (sqrt(81)*-1 + sqrt(81) - sqrt(81))))**2.\nAnswer: 518400\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/9)*p)\/p*(p**(-4\/3)\/p)\/p*(p**(1\/4))**(-5) assuming p is positive.\nAnswer: p**(-157\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 0.4 (c) 37 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-510)\/(-12))\/17).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 46*p**2 + 99*p - 40. Is v(-10) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 73*c**2 + 246*c + 7394. Determine l(-71).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(99) - (sqrt(99) + sqrt(99) + 5*(sqrt(99)*1 - sqrt(99)) + sqrt(99)))\/(sqrt(144) - -2*sqrt(144)))*2*-2)**2.\nAnswer: -32*sqrt(11)\/3 + 620\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -1\/5, -101\/2, 0.0777?\nAnswer: 0.0777","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3136230 (base 7) to base 11.\nAnswer: -239938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 39 - 23353*b + 61999*b - 6.\nAnswer: 38646*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121012*j**3 - 4*j**2 + 64*j + 3.\nAnswer: -726072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 5. Suppose 2*x - 6 = -z, o = x + 8. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((-108)\/(-20))*(7174\/(-170) + 2)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39*8\/32*8\/6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j = 5*j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 10, 5, 2\/9, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 15*m. Let o(a) = -a**3 - 45*a**2 - 16*a - 718. Let u be o(-45). Let h(b) be the first derivative of 43 + 0*b + 3\/2*b**u. Determine q(h(k)).\nAnswer: 45*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -95, -1, -6.\nAnswer: -95, -6, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2273, -1018, 237?\nAnswer: 1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-65)*(47 - 2937\/66).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 175535566 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 0*u**3 + 0*u - 19\/2*u**4 + 92 + 59*u**2. Find the second derivative of j(g) wrt g.\nAnswer: -228*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -61*o - 1. Let g(j) = 30*j + 1. Let k(i) = -7*g(i) - 4*u(i). Is k(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/2640 and -137\/30000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15361 is divided by 297?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 0, 36*j + 4*f = 34*j + 1126. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 4*u + 4*u + (-1 - 2 + 2)*(-3*u + 2*u - 5*u) + 0*u - 4*u + 2*u - 2*u - 3*u + 3*u)*(u**2 - u**2 + 2*u**2).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11788\/76622)\/((-4)\/1118).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -100*p + 23*p**2 + 25*p**2 - 54*p**2 + 195*p - 95*p. Let a be ((-3)\/(-2))\/3*2. Let z(d) = 1 - d**2 - a. What is j(z(f))?\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-52) + ((-1)\/13)\/((-31)\/2480). Solve 5*p + 28 = -3*a, j*p - 2*a - 6 = 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -18*f + 23. Let o be z(1). Suppose -12*w = -20*w - 40. Sort 1, 123, o, w in descending order.\nAnswer: 123, o, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}