diff --git "a/data/dm_maths/full_data_1/11010_11255.jsonl" "b/data/dm_maths/full_data_1/11010_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11010_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let 9*o**3 - 20*o**2 + 4*o = 0. What is o?\nAnswer: 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.814 - -0.314. Let p = -4.5 + 1.7. Let l = -0.2 + p. What is the third biggest value in -0.4, j, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.80886*-50.\nAnswer: 40.443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - l**2 + 1. Let w(s) = 3*s**3 + 4*s**2 - 2*s + 4. Give -4*p(b) - w(b).\nAnswer: b**3 + 2*b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 294364, -7\/6, -7 in descending order.\nAnswer: 294364, -0.3, -7\/6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 4, n: 7}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -243 (c) 2\/7 (d) 4 (e) 1\/241\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -37*n**2 + 70*n**2 - 26*n**2 - 5*n + 2. Suppose 0 = -2*m + 3 - 11. Is o(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -24, -82, -188, -354, -592?\nAnswer: -914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119146946?\nAnswer: 2, 23, 71, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 + 7*x - 375 - 6*x + ((-1 - 4 + 3)*(2*x - 2*x - x) - 1 + x + 1)*(-5 + 2 + 2) to the form v + c*x and give v.\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2198*j**3 - 2199*j**3 - 2203*j**3 - 3*j**4 + 6598*j**3 + 82 as o*j**2 + n*j**3 + s*j**4 + m + t*j and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -1153110826533?\nAnswer: -1153110826537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7098 and 105924.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 13 + 1531*i**3 - 37 + 23.\nAnswer: 1531*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 2. Let r(h) = -8*h**3 - 17. Suppose 0 = -3*y - g + 13, -2*g + 0*g = 3*y - 8. Let j be y*(2 + 21\/(-2)). Calculate j*l(d) + 6*r(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 37, 119, 275, 529, 905?\nAnswer: 1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 568 + -536. Solve 0 = -6*p + l*p + 182 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 15*l**3 - 2*l**2 - 36*l - 160. Give s(-4).\nAnswer: -1008","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 15. Suppose 5*q = -10, 3*q + 6 = 2*h - 10. Suppose -13 = -3*y + 4*b - 0*b, -h*b = y - 17. What is the lowest common multiple of y and u(-9)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307694347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 less than -80218745350?\nAnswer: -80218745361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -5400\nAnswer: 1\/5400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-504)\/(-1092)*156\/18\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -f + 5*v, -5*f - 12 + 0 = 2*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4166 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in 4, -0.3, 3\/2, -53, 0.31?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 + -27. Calculate the remainder when x is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 255 = -237 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -690 = 67*k + 29*k - 11*k + 670 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 2:07 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (189\/81)\/(2\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-30)*s*s*s**(-13) assuming s is positive.\nAnswer: s**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7490302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 182\/29 or 5?\nAnswer: 182\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -26. Solve 5*q + 30 = -4*r, q - 1 = r + v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + (-1287)\/(-210))\/((-2)\/133). Let w = k + 59\/5. Calculate the common denominator of w and 21\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4528, 8540, 12552, 16564, 20576?\n\"Answer: 4012*g + 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 736198076.\nAnswer: 5153386532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -2*u - 0*u. Let d be u\/2 - (-1)\/(-2). Suppose z - 5 = -3*z + v, 5*v - d = 0. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115*u**4 - 2*u**3 + 526*u**2 + 1 wrt u?\nAnswer: -2760*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 12*i - 65. Let l be t(-17). Solve l = -2*r - 5*j, 3*r + 4*j - 12 = -35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11458*f = 11442*f + 96 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1313 (base 6) to base 5\nAnswer: -2313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 - 10) + ((-32908)\/(-95))\/(2\/20).\nAnswer: 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122134 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 946 = b - 4*k, -3*b - 6*k + 2*k = -2838. Let n = b + -575. Is 38 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -3*p - 1, -5*p + 5 = -10*w + 5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 1.83, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10281 and 84036?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18564263 to the nearest integer?\nAnswer: 4309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 967561 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z. Let u = 1316 + -1316. Let q(x) be the first derivative of u*x**2 - 1\/3*x**3 + 0*x + 7. Give h(q(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2158 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o. Let i(n) = 587*n. What is i(m(h))?\nAnswer: 1174*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334050294.\nAnswer: 2, 3, 55675049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.472189t?\nAnswer: 3472189000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -36 (c) 0.47 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -20*w. Let t(n) = -50*n**2 + n. Give t(v(l)).\nAnswer: -20000*l**2 - 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chkcdrkb. Give prob of sequence kbcc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, c: 1, l: 1, p: 1, r: 1}. What is prob of sequence crsl?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -19 + 23 - y**2 + 2*y + 0*y. Let n(a) = -2*a**3 + 12*a**2 - 17*a + 8. Let z be (3 - -1)*((6 - 9) + 4). Let t be n(z). Give v(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and (0 - -1*143) + (-22)\/(-22)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/1)\/(-4)*-30. Let d be (3\/(-3))\/((-3)\/p). Solve -2*x = -4*x + 4*n - 14, 3*x = -d*n + 34 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-55)\/(-16))\/(70\/56).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-3\/2)*j)\/(j\/j**15))\/((j**(-13)*j)\/j*j\/(j**9*j)) assuming j is positive.\nAnswer: j**(73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, u: 3, t: 7, w: 2, e: 2}. Give prob of sequence vwe.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert a9 (base 14) to base 7.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -56322?\nAnswer: 56315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -20) + (1 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 3*g = -4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12 + 221\/(-13) + 34. Suppose 3*p - 12 = -0*p. Suppose -p*d = d. Put y, d, -2 in decreasing order.\nAnswer: y, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.54 - -2.64. Let y = 1 - 6. Suppose 3*o = -0*q + 3*q + 18, 5*q + 20 = 3*o. Which is the third smallest value? (a) v (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdkvoovbovvqokk. Give prob of picking 3 v and 1 o.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3428 - -0.0572. Which is the nearest to 0.1? (a) -1\/7 (b) 4 (c) -2\/227 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (-204)\/(2 + 1). Suppose 3*m + m - 22 = -2*y, -5*m = 5*y - h. Is 185\/y*(19 - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/986 - -9797\/20706. Which is the third biggest value? (a) -5 (b) q (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p + 7 - 8 + 3*p. Let n be g(3). Let v = 4 + 0. Solve -5*l = 3*c - 2*c + n, -5*l - 7 = -v*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.664 + -0.564. Which is the smallest value? (a) -17 (b) -2\/7 (c) 3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 338230288.\nAnswer: 338230288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.681 - 215.831. Round u to zero decimal places.\nAnswer: -195","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j - 2. Let o = 12 - 6. Suppose -o*y + 5*y = 5. Determine z(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + 1 - ((18 - 33) + 2 + 17)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 10*k - 12. Which is smaller: k or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2. Let p(d) = d**2 - 1. Let x(y) = -8*y**2 + 11. Let g(f) = -66*p(f) - 6*x(f). Give j(g(v)).\nAnswer: -648*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j + 16*j**3 - 595*j**3 - 473*j**3 + 132*j**2.\nAnswer: -1052*j**3 + 132*j**2 - 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 61*k**2 - 14*k - 13. Let r be x(-9). Let q = r + -60689\/12. Calculate the common denominator of q and -121\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -m - 3*s, 1116 - 326 = 3*m - 4*s. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -13623, -2 in descending order.\nAnswer: 13, -2, -13623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-192)\/8))\/((-4)\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103423 + 3104?\nAnswer: 112032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222000 - -12?\nAnswer: -221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 19939\/41 and 485 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -547, -2159, -4819, -8533, -13307?\n\"Answer: -b**3 - 518*b**2 - 51*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4177.144198754 from 0.038.\nAnswer: -4177.106198754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17742 - 1050 = 321*r for r.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -220361747 + 1?\nAnswer: -220361746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o. Let d(q) = 19*q**2 - q - 25940. Calculate d(b(f)).\nAnswer: 19*f**2 + f - 25940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6612 = -4*x + 258422, -7*x = -3*j + 794988. Round j to the nearest 1000.\nAnswer: 265000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyygcctyokgcgkggk. What is prob of picking 2 c?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**4\/24 + w**3 + 2*w**2. Let x = -29 + 36. Let i be s(x). Which is smaller: -2\/35 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b9 - 9?\nAnswer: -c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33380 is divided by 106.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57666.22 millennia to centuries.\nAnswer: 576662.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -44465032.473106?\nAnswer: -44465028.473106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -16066448 times 22\nAnswer: -353461856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 73?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14776897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24788204087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21710031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2676)\/(-4460))\/(((-1)\/10*2)\/(-3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/39*10 + (-2)\/2. Let x be -2*4\/16*1. Put x, h, 0.3 in descending order.\nAnswer: h, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*p + 12 + 21*p + 24*p + p**3 - 42 - 26 to the form w*p + z*p**2 + n + g*p**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 7:08 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.66267 millilitres to litres.\nAnswer: 0.04666267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 568595476 a multiple of 3197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, 5, -1, -18 in increasing order.\nAnswer: -18, -12, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9124 - 894. Is (-33 - z)\/((-2)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 4. Suppose -p*q - 1 + 10 = 0. Solve n = q*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1382 and 0.04.\nAnswer: 55.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -796 by -2.\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 36410 = -7*m. Let f = -65603\/9 + m. What is the common denominator of 81\/2 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -276 - -192. Let z = -83 - i. Solve -4*f - 7 - z = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174047\/2 at least as big as 587025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**3 + 41*g**2 - 12*g + 25. Give p(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 307 - 307.2. Which is the smallest value? (a) 2 (b) x (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.849152 rounded to three decimal places?\nAnswer: -0.849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 0*u**3 - 4\/3*u - u**2 + 1\/6*u**4 - 10. Suppose b(o) = 0. What is o?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 8*p - 2. Let r be x(7). Let s = 3.9254 - -0.0646. Let z = 0.01 + s. What is the nearest to -4 in z, -1\/4, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-2))\/((-6)\/(-8))*(-4494)\/749\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 16. List the prime factors of 72\/(-16)*(-1 - f) + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/60 - n**4\/4 + n**3\/2 - n**2. Let o be d(6). Suppose -24 = -3*p + p - 5*c, -o*c = -6. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 4*p - 7. Let x = 3 + -9. Let o be h(x). Find the second derivative of 2*k + 6*k**2 - 6*k**2 - 2*k**o wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/87995 and 48\/125?\nAnswer: 2199875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3458 + 3479. Solve -2*u + 3*p = 5*p + 2, 0 = u + 5*p + g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxue when four letters picked without replacement from cxcxexxugugg.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 7*p**2 - p**2)*(-p + 0 - 3 + 2*p)*(764*p - 764*p + 14*p**2).\nAnswer: 98*p**5 - 294*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1156*a**3\/9 + 476*a**2\/3 + 32*a + 16\/9 = 0 for a.\nAnswer: -1, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3466 + -3400.16. Let y = 65 - k. Let p = y + 4.84. Which is the third smallest value? (a) -1 (b) p (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 17*r**2 - 136*r - 86. Determine x(9).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 1. Calculate the smallest common multiple of 1 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4 - 13*c - 1 as g*c + t and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9308019*q**2 - 7849695?\nAnswer: 18616038*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3189 - (-32 - (-34 - -17))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 101478.32295 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 3795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, -5, 1782.\nAnswer: -5, -1, 10, 1782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 515.\nAnswer: -514.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l - 5*n + 29, -5*n + 41 = 4*l. Suppose l*x = -5*q + 127, 0 = 2*q + 2*q + 3*x - 102. Solve k + 12 = 5*f + q, 0 = 3*k - 4*f - 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(528) + (sqrt(528) - 3*sqrt(528)) + sqrt(528)))\/(1*sqrt(891)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1982?\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 234608.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -9. Let p = 49 - a. Solve j + 5*c + 3 - p = 0, -j = -5*c + 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544287877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 9*k**2 + 3*k + 6. Let o be (-624)\/520*15\/(-2). Determine f(o).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**4\/6 + n**3\/6 + n**2. Let b(t) = -3*t + 1. Give 5*b(a) - 4*k(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(187)*2 - 4*(sqrt(187) - sqrt(187)*1))\/(sqrt(55)\/(sqrt(605)*3)).\nAnswer: 132*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.32825 and 0.12392.\nAnswer: -0.20433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3324*l + 64288 = 162*l - 84326 for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 227849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 221121 (base 3) in base 11?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3720.17 litres to millilitres.\nAnswer: 3720170","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.4 - 0.4. Let p = h - 4. Suppose -2*j - 17 + 7 = 0, 0 = 2*g - 3*j - 5. What is the nearest to p in g, -2\/9, -1\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2880 divided by 16\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*c + c = -9, -3*c + 19 = 2*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(4\/10 - 8\/(-5)). Suppose 1210 = -l*y + 10*y. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1463506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.014 * 0.58\nAnswer: 0.00812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922750059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.955 to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -5*c + 26, 6*o = 5*o + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 5*y**2 - 2*y. Suppose -a - a = -2*j - 44, -2*a - 2*j = -28. Let t(n) = -n**2 + 18*n - 18. Let q be t(a). Let c = 14 + q. Calculate x(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 27*z**2 - 65*z + 206. Let l be f(29). Let -12\/7*d**2 + 16\/7 + 0*d + 4\/7*d**l = 0. Calculate d.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y. Let n be 3 + -2 + 2 + -1. Let s(h) = h + 0*h + n*h. Give s(q(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -15620178\nAnswer: 1\/15620178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1230 - 1219. Suppose -46*v + k = -81. Find h, given that 6\/5*h**3 + 0*h + 0 - 3\/5*h**4 - 3\/5*h**v = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -9. Let r = m + 7. Let y be (-8)\/18*99\/264. What is the biggest value in 0.08, -0.4, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**6\/120 - h**5\/20 + 5*h**3\/6 - h**2\/2 - 3*h. Let u(x) be the first derivative of p(x). What is the units digit of u(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 7)*(-i**2 + 5*i**2 - 3*i**2).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1069 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 11*b**2 + 65*b + 76. Let f(y) = 4*y**2 + 22*y + 25. Let a(s) = 17*f(s) - 6*l(s). What is the derivative of a(u) wrt u?\nAnswer: 4*u - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22648060 divided by -5662015.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 9*j**2 + 2*j - 22. Let q be w(-9). Let l be (1\/(56\/(-6)))\/((-45)\/q). Put 0.5, l, 2\/15 in descending order.\nAnswer: 0.5, 2\/15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1569611, -1569763, -1569915?\n\"Answer: -152*q - 1569459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {o: 3, d: 1, h: 3, r: 1, m: 2, a: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 4*k**2 - 3*k. Let z be j(3). Suppose 2*b + 0*b - 4 = z. Let w be ((-126)\/35)\/(b\/(-20)). Calculate the highest common factor of 90 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.04665ug in tonnes?\nAnswer: 0.00000000008404665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, y: 6, o: 1, p: 4}. What is prob of sequence ro?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 170*m**5 - m**2 - 99*m + 1?\nAnswer: 3400*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(3 - 8)*2*2. Solve z*d - 2*v = 37 - 11, 6 = -2*v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*v - 7136 = 0. Let u = 11624 - 11610. Suppose -u*f + 6*f + v = 0. What are the prime factors of f?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/5389921 and -33\/2381593.\nAnswer: 102408499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 7*k**2 - 7*k + 2. Let y be u(5). Let v be 1483\/3 - y\/51. Factor -514*i + v*i + i**2 + 6 + 5*i**2.\nAnswer: 2*(i - 3)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -23*j + 899. Let p be a(39). Solve 14 = -2*s + l - 2*l, -5*s + p*l - 17 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5*b - 5, 2*z + b - 18 + 5 = 0. Let g be 1\/5 + 9\/z. Find the common denominator of -38\/11 and ((-4)\/(-24))\/(g\/23).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 13. Let c be f(0). Suppose -h = -5*v - 6 - 7, -2*h = -6. Let r be 22*3 - v\/(-2). What is the highest common factor of c and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 9*y - 10. Suppose 0 = -8*k + k - 42. Let z be ((-2)\/k)\/((-2)\/(-42)). Determine t(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60653 - 6090653. What is h rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -0.99, -4, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, v: 6, h: 2, s: 4, k: 2}. What is prob of sequence svkk?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18030 + 32819. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 4 (c) 5 (d) 2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 26, 56, 108, 188, 302?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 572044 and 128?\nAnswer: 18305408","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(605) + 2) + (3*-1*sqrt(605))**2 - (-4 + 1 + sqrt(605) + -1 + -4 + sqrt(605) + -1).\nAnswer: -11*sqrt(5) + 5456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -24 and 642?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/4 of a second?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 + 1055*h**2 + 94279*h + 110. Give y(-114).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5567793?\nAnswer: 3, 7, 11, 24103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -209301*w - 12. Let d be r(-6). Suppose -10*y + 3383306 = -d. Let i = y + -316910. What is i rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -11*x + 430. Let v(l) = -5*l + 240. Determine -3*m(d) + 5*v(d).\nAnswer: 8*d - 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 5 + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -109.4? (a) -4\/3 (b) -4 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -6*b - 34, 4*b = 175*d - 180*d - 39 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*z + 21 - 4, -4*z - n + 3 = 0. Let w = 326 + -324. What is the remainder when z is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, s: 2, y: 1, d: 4}. Give prob of sequence sds.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 132806293519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(99) - (sqrt(99) - (sqrt(99)*-2 + sqrt(99)) - sqrt(99))))\/((2*sqrt(90))\/sqrt(10)) + 5)*4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 575 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8336?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 3:30 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -61. Let c be (o\/3*4)\/((-42)\/(-2709)). Find the common denominator of c\/(-16)*14\/35 and 47\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**2 - 15*n - 6. Let s be v(-3). Suppose 0 = k - s. Solve -2*b - c - 2*c = 18, -3*c - k = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -219, -439, -659?\n\"Answer: -220*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*16\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -3. Suppose b*x - 7*x = 0. Solve x = -3*m + 5*m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 0*v**2 + 0*v + 16\/3*v**3 - 9. Let h(b) = 4*b**2. Calculate z(h(s)).\nAnswer: 256*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16093\/24198 - -13\/8066. Determine r, given that 2\/9 + 8\/9*r - u*r**4 - 8\/9*r**3 + 4\/9*r**2 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -32132001200?\nAnswer: 32132001200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 58, -4, 3 in descending order.\nAnswer: 58, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 26*p**2 - 11*p + 87. Give n(26).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o + 2. Let l(s) = 10*s + 4. Let f(x) = 3*l(x) - 5*t(x). Let b(a) = 3*a + 4. Let j be b(-2). Give f(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -11. Let m = 8.9991 + a. What is m rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -454*z + 0*z**3 + z**3 - 5*z**3.\nAnswer: -4*z**3 - 454*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (108\/(-21) + 2)\/(18\/(-14)). Let f(k) = -2*k + 16. Let x(v) = v**2 - 2*v - 1. Let q be x(-2). Let u be f(q). Is c at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1 = 3. Solve -2*h - 4*y + 2*y = 8, 0 = -h + y + r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q - 5. Let g be k(4). Let n(y) = 2*y + 19. Let i(l) = -3*l - 28. Let o(j) = g*n(j) + 5*i(j). Let v be o(-8). Which is bigger: 2 or v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 232 + -36?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 13*g + 51. What is the hundreds digit of f(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -76*k - 263. What is p(-3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 0) + 0 - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21621399?\nAnswer: 3, 17, 423949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 606 and 18.\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 18. Let c(a) = a - 5 - b + 2 - 2*a. What is c(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -913 - 855 + s + 1889.\nAnswer: s + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2803 - -2821. Suppose -4*n + 42 = -3*n. Is 1230\/21 + f\/n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47544 a multiple of 566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 4*s**2 - s - 5. Give y(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128 - 104. Suppose 0 = -0*w - w + o. Suppose -4*v + 83 = 5*t, -2*t + 6*t + 5*v - 70 = 0. What is the lowest common multiple of t and w?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 14) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 186 and 13795.\nAnswer: 82770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6124 a factor of 1742161644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14746 and 1616?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -24*(40\/(-30) - 50\/(-24)). Let v(p) = -p**3 - 13*p**2 + 19*p - 17. Is v(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359707 is divided by 359365?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1991345 is divided by 181030?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*(675\/(-900))\/((-1)\/(2\/2))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - v + 1. Let j(k) = k - 1. Suppose -3*s + 2*y + 8 = -0, 2 = -s - 4*y. Determine s*l(w) + 2*j(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2*r + 7)*(-5 + 4 + 3) - r + 2 - 2 + (r + r - 4*r)*(-2 + 5 - 4).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Factor -z**4 - 2 + z**3 + y*z + 2 - z + z**2.\nAnswer: -z*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 31*i**2 + 4*i + 3. Let r be 2\/(-3)*(1 + 2). Let x be s(r). Suppose -2*g = -3*y + x, -4*y + g + 2*g = -160. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.1 - -1.1. Let z = 103 + -33. Let q = z + -66. Sort 0.1, q, p in ascending order.\nAnswer: p, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v - 8*v)*(-192*v**3 - 134*v**3 - 14*v**3) - 3*v**4 + 2*v**4 + 3*v**4 - 2*v**4 + 0*v**4 + 0*v**4 + (2*v**4 - 4*v**4 + v**4)*(-6 + 2 + 3).\nAnswer: 2381*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -32?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/14 - (-1)\/2. Let z = q - -3. Sort -2\/13, -1, z in ascending order.\nAnswer: -1, -2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 275287 + -1116213\/4. Let b = u - -3742. Calculate the common denominator of 41 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8970563609 to the nearest integer?\nAnswer: 2078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 + 4*s. Let i(m) = 12*m**2 + 23*m. What is -34*d(u) + 6*i(u)?\nAnswer: 4*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 12*n**2 + n. Suppose -57 - 30 = 5*x + 3*y, 4*y = 3*x + 58. Let r be -3*3\/x*-2. Calculate i(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**3 + 1065*k**2 - 922*k**2 - 2*k**3.\nAnswer: 8*k**3 + 143*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h**2 + 3*h. Let i = 4 + -1. Let o(j) = -36*j**2 + 16*j. Suppose 0 = -9*m - 214 + 70. Give i*o(g) + m*r(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.15, -7, 0.3?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -16\/59?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 2*a**5\/5 - 5471*a**4\/4 - 5*a**3 - 89*a - 11179. What is the third derivative of y(j) wrt j?\nAnswer: 48*j - 32826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, t: 2, z: 1, c: 3, r: 6}. Give prob of picking 1 z and 2 t.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 25231.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + h = 15, -l - 2*h = -2*l - 20. Let p = 11 + l. Let c(i) = 5*i**2 + 1. What are the prime factors of c(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 3*g + 1. Let v(q) = 2*q**2 + 4*q - 2. What is 4*l(n) + 3*v(n)?\nAnswer: 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 16 = 48. Let f = 32 + i. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.62981ml to litres.\nAnswer: 0.01162981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 8*t - 2*t. Calculate the highest common factor of 117 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-2 - 14) + 12) - (-1 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - ((-1)\/(-1))\/(-1). Let i be (-5 + (3 - 0))\/(3 - -5). Which is the nearest to j? (a) i (b) 1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/21)*q)\/(q*q**(1\/2))*q\/(q*q\/(q\/(q**(1\/6)*q)))*q**1*q assuming q is positive.\nAnswer: q**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10126 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: 0.33 times 0.07\nAnswer: 0.0231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 24950 + 12012 = 3*z, -4*k + 12304 = z. List the prime factors of z.\nAnswer: 2, 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 10*p**2 + 16*p + 2. Is x(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5)\/(-4)*(-44)\/55*(-145)\/6 and -49\/702?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 y when three letters picked without replacement from {f: 7, c: 1, r: 2, v: 1, e: 4, y: 2}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.8 + -51.8. Let x = w + 54. Suppose 12 = -s - 0. What is the smallest value in s, x, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/8 - 8*1. Let q = 1555 - 3053\/2. Calculate the common denominator of (2\/(-12))\/(o\/63) and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*b + 91*b = -7. Let z(o) = -o**3 + 6*o**2 + 7*o - 5. What is z(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -124*x + 1. Let h be z(2). Let g = h + 1759\/7. Find the common denominator of -33\/10 and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10628800 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 657\/(-45) + 15.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*z + 28*z**2 - 4*z**3 + 9*z + 27*z**2 - 55*z**2 to p*z**2 + x*z + d + k*z**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 812453407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2 - 27*w - 24. Let p(g) = 8*g - 270. Let r be p(33). Calculate the remainder when 267 is divided by d(r).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -10*r + 11. Let h be 2\/10 - 4116\/(-245). Let o(w) = 3*w - 4. Give h*o(v) + 6*p(v).\nAnswer: -9*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5005707 divided by -238367.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 139000 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 7*c**2 + 8*c + 2. Suppose 9 = u + b, -36 + 8 = -3*u - 4*b. Suppose 3*f + 2*g + 2*g + u = 0, 32 = -5*f - 2*g. Is t(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -2269*b**6\/10 + 1537*b**2 - 12*b - 137. What is the derivative of a(n) wrt n?\nAnswer: -27228*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10434211040 (base 5) to base 4.\nAnswer: -230113312110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9\/10 of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1244269 + -731469. What is g rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/13? (a) -5 (b) -2119 (c) 3\/13 (d) 1 (e) 4 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18343 by 17.\nAnswer: -1079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 17308677 + 54872085. Suppose 49643401 = 4*o - 57520007. Let m = f - o. Round m to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15372 and 3294.\nAnswer: 46116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 2:16 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**14*a**(1\/9)*a**(-1\/15)\/a**(-1\/23) assuming a is positive.\nAnswer: a**(15616\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 12:13 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c**5\/5 - 2*c**4\/5 - 6*c**3\/5 + 2*c**2\/5 = 0. What is c?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/7*(-12)\/960*-20.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 3) to base 5.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 52941.5 to the nearest one thousand.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 1292?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = 3*t - d - 5, -d = -4*t - 1. Suppose t*g = g. Solve 0 = 2*y + 4 - g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 162204 and 2.3.\nAnswer: 373069.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3 - 1. Suppose -6 = -2*z - i. Suppose 4*m + 3 = 3*v, -3*v = -z*m - 3*m. What is the remainder when 19 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {y: 2, x: 1, g: 3, i: 3, w: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 178 - 308. Let t = j - -127.35. Let l = t - -0.15. Which is bigger: -0.1 or l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89504345 times 2\nAnswer: -179008690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559593?\nAnswer: 3, 97, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 4*a**2 - 2*a - 6. Let n be l(-4). Suppose n*g = -5*x + 42, -4*x = 4*g - 3*x - 48. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llppfbfo. What is prob of sequence fbpp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107982 - 60486. Calculate the highest common divisor of 24 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edexexeetretrtr. Give prob of sequence rr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26934 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -335598, -671188, -1006778, -1342368, -1677958?\nAnswer: -2013548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/37, 1.46, -6.3 in decreasing order.\nAnswer: 1.46, 12\/37, -6.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b. Let f(h) = -h + 40. Calculate f(r(d)).\nAnswer: 5*d + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64*p*r**3 + 5*p + 7*r**3 - 83 with respect to r.\nAnswer: -192*p*r**2 + 21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + sqrt(2700) + -5 + -3.\nAnswer: -13 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12.12 - 1509\nAnswer: -1496.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 6*q - 6. Let l(i) = 7*i + 2. Let f be l(-1). Let c be p(f). Let w(z) = z**2 - z. Determine w(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*r + 3*m - 0, 2*r - 5*m + 1 = 0. Solve 4*t = -4*w + 12, 5 = 4*w - r*t - t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3499741 in 1\/3, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**3 - z**3 - 2*z**4)*(16 + 144 - 65) to r*z**2 + g + k*z**4 + b*z + n*z**3 and give k.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 137995 (base 10) to base 11\nAnswer: 94750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6231, 4964, 3701, 2442?\n\"Answer: 2*a**2 - 1273*a + 7502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9320646, 18641295, 27961944, 37282593, 46603242?\nAnswer: 55923891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*s + 19 = 0, -2*s - 4 = 6. Let n(w) = w**2 - 2*w**2 - 2437*w + 2435*w + w**3. Let l be n(i). Solve -15 = -0*r - 2*r - 5*k, -4*k + l = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/41, -3, -1\/130, 2\/7, -18\/7 in descending order.\nAnswer: 2\/7, 2\/41, -1\/130, -18\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 133 = -3*j, d + 51 = j + 2*d. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*p + 3 - 2, 5*q - 19 = p. Let u be (-2)\/q*-38*6. Suppose -4*y + 370 - u = 0. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*j - 1 = 0, 13 = 29*h - 28*h - 5*j. Let i be (4\/10)\/((-6)\/9). Put i, h, -5 in decreasing order.\nAnswer: i, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a**3 - 6*a**2 - 6*a - 6. Let g(d) be the first derivative of -d**4\/4 + d**3\/3 + d**2\/2 + d - 136. Determine 6*g(c) + x(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-238 + -8)\/6*((-1)\/(-1) + -2). Solve -26*u + 11 = -f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 5*q - 6. Let n be w(-3). Suppose 2*h = -3*j + 8, 3*j = -4*h - j + 12. Let r be (h\/(-9))\/(11\/(99\/(-30))). Which is smaller: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**0)\/v)**(-3\/2)*(v*v\/(v**1*v)*v)**5)\/((v\/v**1*v)**4*(v**(-3\/2)*v)\/((v\/v**0)\/v)) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q**3 + q**2 - 18*q - 80. Give x(-4).\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.588040094873 and 0.5.\nAnswer: -0.088040094873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*w - 8. Suppose 5*l - 12 = w*l. Suppose 0 = 3*c + l - 1. Is c at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a decade in months?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1070 - 664. Let c = 144 + -93. What is the remainder when d is divided by c?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 - 1793*r**2 - 9041*r + 5. Determine d(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/9, 0.12, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 12:52 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 470\/(-4) + 0 + 12\/(-8). Let w = -83 - k. Suppose w*t + 384 = 38*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 3\/2*t**2 + t + 1\/2*t**3 + 0. Suppose 2*u - 31 = -0*u + 3*p, 3*u - 3*p = 48. Let i(j) = j + 1. Give u*i(o) - 6*c(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-3*-5 + 5 + 6*(sqrt(72) + 5 + sqrt(72) + 0) + 2)**2.\nAnswer: 11988*sqrt(2) + 53857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 370 in 0.1, 0, 153, 0.04?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -8. Let h = y - 9.9886. What is h rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -18*o**2 - 120*o - 21. Give k(-5).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17 + 0.27. Let b = 18 - 14. Let i = 5\/12 + 1\/12. What is the closest to w in i, 1\/5, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20364 = -5*t + 5*g + 28701, -5*t - 3*g + 49081 = 0. List the prime factors of t.\nAnswer: 5, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2953.463 centuries to months.\nAnswer: 3544155.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**3 + 24*v + 11*v**3 - 24*v.\nAnswer: 21*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**6 + 11299*f**5 - f**2 - 17787*f wrt f?\nAnswer: -120*f**3 + 677940*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**3 - 19*k**3 + 5*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5084873 to the power of 1\/2, to the nearest integer?\nAnswer: 2255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 - 2*z**2 - 4*z + 4. Let r(l) = 1. Give -2*r(s) + u(s).\nAnswer: 2*s**3 - 2*s**2 - 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b + 33*b - 19*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.6 + -3.4. Let c = 5 + b. What is the nearest to c in -2\/11, 5\/4, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38275093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4\/7)*h**2\/h assuming h is positive.\nAnswer: h**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -2)*(3\/1 - (-6224)\/(-1945)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-20) - 1)*790\/10665*(-81)\/(-5)\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5 - 6*u**4 + 6*u**3 + 22*u**2 + 12*u = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4732*h**5 + 4*h**4 = 0. Calculate h.\nAnswer: -1\/1183, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 9:39 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3408 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 28. Suppose 0 = -3*n + 4*n - o. Let a = n - 8. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*d + 75*d - 89*d + (3 + 2 - 3)*(-d - 4*d + 4*d) + 2*d - d + d - 2 - d + 0 - 10 in the form y + b*d and give b.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -690, 14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 22626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 40?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -213408*g - 12164240. Calculate a(-57).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43581 is divided by 192?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/199? (a) -2 (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 0.2, 11\/46, -1\/4?\nAnswer: 11\/46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51349075.\nAnswer: 5, 163, 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 + 3*d + 3. Let n(k) = 3*k**2 + 4*k + 3. Calculate 5*n(c) - 6*r(c).\nAnswer: -3*c**2 + 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50092 and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(54) - sqrt(24))\/(sqrt(96)\/sqrt(3)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 17 + 72 = 0. Let r(x) be the third derivative of -5*x**4\/3 + 2*x**3\/3 + 10*x**2. Let l be r(-1). What is the greatest common factor of i and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51216157483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -339 - -341. Suppose -2009 = -5*o - 3*c, 2*c = r*o - 390 - 404. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/4 - 3*g**3 + 9*g**2\/2 - 3*g + 3\/4.\nAnswer: 3*(g - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(2 + 9\/(-5)). Suppose 4*s + 3*o = o - 28, 2*s = 5*o - 38. Let r = s + b. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -21152*d + 275742. Give b(13).\nAnswer: 766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4537858*d**2. Let g(p) = 4*p. Calculate g(t(h)).\nAnswer: 18151432*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/169 or 0?\nAnswer: 3\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 189 = 2*y, -5*y = 25 - 10. Let x = s - -190. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5130 and 6270.\nAnswer: 56430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spppsssssps. Give prob of picking 3 p.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/12)\/((49560\/(-2016))\/(-295)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2)\/a**(-3))**(-6\/7) assuming a is positive.\nAnswer: a**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 589483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 46, 70, 96?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**3 - 676421*m**2 + 676423*m**2 + 2*m**3 - 3*m**3 - 2*m - 321 + m**3 in the form n*m + r*m**2 + a + s*m**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12302.06 rounded to the nearest ten?\nAnswer: -12300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 10*k - 9. Let g = -1 + -8. Let v be d(g). Let p(h) = -h**3 - h**2 + h - 2. Let u be p(v). Which is bigger: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -4831?\nAnswer: 4835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.05, 59, -1.8, 0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -1\/60*g**5 - 1\/8*g**4 + 1\/6*g**3 + 49*g**2 + 0 + 0*g. Determine k(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4116 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**7\/315 + h**5\/90 + 7*h**2. Factor m(a).\nAnswer: -2*a**2*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7e6 (base 15) in base 12?\nAnswer: -1053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4392019637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 3. Let l be b(0). Suppose -1 = -x - s - 4*s, 2*x + 5*s - 2 = 0. Let h(y) = -2*y + x + 5 - 4 + 0. Calculate h(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -233, -0.13, 4?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4200 - 4200.00000116. Round v to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 + 19*z. Let d(y) be the third derivative of -y**5\/10 - 396*y**2 + 3. Give w(d(v)).\nAnswer: 108*v**4 - 114*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 191251*h**4 - 3*h**3 - 3*h - 29507954.\nAnswer: 765004*h**3 - 9*h**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-51 - -73)\/88)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*r = 15 - 4, 0 = 5*r + 10. Let f = 17 + j. Calculate the smallest common multiple of 20 and f.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.14, 2\/5, -2\/7, 17, -59, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1606, -6395, -14376, -25549?\nAnswer: -39914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -18*t + 76 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - c**2 - c - 1. Let l be t(-2). Suppose z - 15 = -l*d - 4*z, 3*d = -4*z + 11. Suppose -d = 2*m - 23. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53\/4 + -13. Suppose 0 = 7*w + 176 - 169. Let x(c) = -6*c - 2. Let n be x(w). What is the second smallest value in n, 53, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2337, 2341, 2347, 2355, 2365, 2377?\nAnswer: 2391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 4*s + 5. Let y be l(-5). Let m(t) = -4*t + y*t + 2*t - 3 + 6*t. Calculate m(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*v**2 + 342*v**2 - 584*v**2 + 2.\nAnswer: 5*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/sqrt(75) + -5.\nAnswer: -5 + sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66471 is divided by 86.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(((-6)\/9)\/2). Suppose v - t*v + 10 = 0. Let x(d) = d**3 - 2*d**2 + d + 1. Let g be x(2). Solve 0 = -g*o + v + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*b = -4*l - 228*b - 4, -5*l + 2*b - 33 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -45*r + 2. Let s be p(1). What is the units digit of (-4)\/(-10) + s\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6092573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.6 and -205711587942.\nAnswer: -205711587941.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -379 - -381. Solve w*m + 20 = -3*s, s - 3*s + 3*m + 4 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.8 + -0.8. Let d be (-1)\/(2 - 6\/(-3)). Let f = 0.1 - 0.3. What is the third biggest value in f, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 8*p**2 - 15*p + 4. Let y be i(-5). Let j = 40 + -38. Let x = -0.1 - 0. Which is the closest to x? (a) y (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 20. Suppose 4*u - 15 = v, -8 - 2 = i*v - 4*u. Sort 1, -5, v.\nAnswer: -5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 + 15*h**2 + 14*h - 134. Let r be q(7). Solve 8*j + o + 15 = r*j, -2*o = 2*j - 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 237.65546.\nAnswer: 241.65546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -678*f + 675*f = -2*z - 10, 4*f - 24 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*c**2 - 154*c**2 + 56*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-2))\/b**(-1\/5))\/(b**1)**(25\/2) assuming b is positive.\nAnswer: b**(-123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*w - 2 + 6)*(179*w - 172*w + 231*w + 674*w).\nAnswer: 3648*w**2 + 1824*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -7 - -526*4\/(-16)*-4 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161 + 160. Find the common denominator of f*5*42\/330 and 101\/86.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669776203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 212 + 188. Let s = -8095 - -8105. Calculate the greatest common divisor of q and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -3*o + 3*z, 0 = -1092*z + 1094*z + 28 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -328\/1591 + 131114\/157509. Find the common denominator of ((-4)\/(-3))\/2*1 and m.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:18 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8308711?\nAnswer: 881, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 8 = -3*j + 6*r, 0 = -3*j + 2*r - 14. Let l be (-3)\/9 - (-20)\/j. Which is smaller: -3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 3*a + 0 - 4 + 8*a + a**2. Let g be p(-7). Suppose -22 + 7 = -g*r. Solve 2*c + 3*c = -3*x - 13, 2*x - 33 = r*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -858, -1758, -2690, -3648, -4626, -5618, -6618?\n\"Answer: r**3 - 22*r**2 - 841*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -203\/2 + 102. Let q = -18.41 + 11.41. Which is the nearest to -0.1? (a) q (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 34, 32, 44, 82, 158, 284, 472, 734?\n\"Answer: 2*w**3 - 5*w**2 - w + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1247*i = -16713 - 36908 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1884 - 1969 - (1 - 16)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650 (base 8) in base 3?\nAnswer: 1021200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.00458 + 0.10458. Which is the nearest to -56\/13? (a) -2\/9 (b) -1 (c) -2 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10d (base 14) to base 8.\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 5*f = -5*t - 17, 0 = 4*t + f - 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + b + 29. Determine k(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 587413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*y - 16 = 6, 3*y - 15 = 0. Let c(d) = -d**2 + 8*d - 7. What is c(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2116650099987+-9\nAnswer: 2116650099978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 77667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -22*v. Let x(g) = 659647*g - 2. What is x(d(k))?\nAnswer: -14512234*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -458499568.\nAnswer: 458499568.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 6 + 14. Let q be (1\/(-3))\/((-1)\/21). Let z = q + -2. Sort -5, n, z in decreasing order.\nAnswer: z, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -26757332?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3, 111, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.6 times -5664?\nAnswer: -932294.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3541 = -l + 4*z, l - 3501 = -4*z. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s - 17. Calculate k(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24370253?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*x + 5*x + 5*x + (2 + 1 - 2)*(5 - 4*x - 5).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvv when three letters picked without replacement from {v: 6, h: 6, i: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 2*p**3 - 2*p**3)*(-4 + 4 - 2*p) - 5*p**4 + 23*p**4 + 5*p**4 + (-49 + 27 + 33)*(-1 + 1 + p**4).\nAnswer: 38*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 565239 divided by -73.\nAnswer: -7743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 633007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 282840 and 1813404?\nAnswer: 1530564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f - 3 + 3 + (2*f + 0 + 0)*(-3 - 1 + 5) - 3 - f + 3 + 3*f + 3*f - 5*f + 582*f + 689*f + 1033*f.\nAnswer: 2305*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 4*d**2 + 4*d + 23. Give r(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 2. Let k be (-1 - 3)\/((-3)\/(12\/8)). Determine t(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -145431 + -420054?\nAnswer: -1005525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.384*1168570\nAnswer: 448730.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4380596 to the nearest one hundred thousand.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 11*j + 26. Calculate t(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -90, -243, -548, -1095, -1974, -3275, -5088?\n\"Answer: -15*h**3 + 14*h**2 - 90*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2\/7, -17?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 10 = -2*w, 3*s - 8*w = -10*w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 7:38 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**2 - 9415005*g + 9415010 = 0.\nAnswer: -1883002, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -723 + 730. Calculate the remainder when -4 + 44\/4 - -4 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*k = 56*k - 378304. What is the thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/7))**(3\/11)\/(l**21*l*l*(l\/((l*l*l**(-14)*l*l*l)\/l))\/l))**8 assuming l is positive.\nAnswer: l**(-20352\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-71)\/(-142))\/((-10)\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10411911.\nAnswer: 3, 37, 31267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)*k**(-1\/2)*k)\/((k*k**0)\/k)**2 assuming k is positive.\nAnswer: k**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 390.1836kg to nanograms.\nAnswer: 390183600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 5) in base 10?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 - -126. Suppose 0 = 16*g - 257 + 33. What is the remainder when q is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1372\/294*6\/35)\/(4\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*p = -12. Let m be (1\/(-1))\/(p\/(-20)). Let d(z) = -z**2 + 5*z + 2. Let a be d(m). What is the highest common factor of a and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pplp when four letters picked without replacement from plpplpp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2147, -8616, -19385, -34454, -53823, -77492?\n\"Answer: -2150*n**2 - 19*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -45*t - 35. Determine i(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -27 + 34 + -45\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 13*f - 54. Let m be (10 - (12 + -4))\/((-4)\/(-10)). Determine a(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11338 + -11338.0000531. Round q to 7 dps.\nAnswer: -0.0000531","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) + sqrt(168)*-1)\/sqrt(12))\/(sqrt(175)*-5) + (3*sqrt(72)\/sqrt(9) + 5)**2.\nAnswer: 60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-6))\/u*u**(-1\/38)\/u)\/(u**12*u*u**22) assuming u is positive.\nAnswer: u**(-1141\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 752029?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2, -221, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17698 divided by -4?\nAnswer: 8849\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4543804 to the power of 1\/2, to the nearest integer?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3127 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2)**14 assuming m is positive.\nAnswer: m**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5038 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1795*c**4 + 55*c**3 - 49*c**2 - 33*c - 5 wrt c?\nAnswer: -43080*c + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 34. What is q(0)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**4\/2 - a**3\/3 - a**2 - a - 15. Determine w(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 5556?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/6 - 4*n\/3 + 3\/2.\nAnswer: -(n - 1)*(n + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**5\/8 - 5*q**4\/8 + 20*q**3\/3 - 15*q**2 + 66*q + 56. Let i(d) be the first derivative of t(d). What is c in i(c) = 0?\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528603 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 20, 3*m + 27 = -z - 2*m. What is the closest to z in 2\/3, -5\/3, 0.4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5590, -4942, -4294?\n\"Answer: 648*m - 6238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m**2 + 49*m - 8. Let j be d(8). Let p = 39 + 37. Suppose -4*n + a + p + 28 = j, -n + 2*a = -19. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/21 of a week?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(0*m - 2*m + m) - 7 - 13*m + 7.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h - 4. Let j be u(3). Suppose 2*r - 4*r + 6 = 0, -r = 5*s - 3. Suppose -124*x + 119*x + 125 = s. Put -2, x, j in ascending order.\nAnswer: -2, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3683744 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -507 - -989. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 x, and 2 m when four letters picked without replacement from {m: 2, q: 3, c: 1, e: 8, r: 1, x: 1}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (19 + -39 - (28 - 48)) + 6 + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/121 in 5, 0, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*i**2 - 36*i**2 + 79*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -1) + 1885 + 0. Let z = 18773\/10 - d. What is the common denominator of z and -73\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 3*a - 15, -5*z - 220 = a. Sort -5, -4, z in ascending order.\nAnswer: z, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = f - 22. Suppose 0 = w - r - 4, -3*r + 20 = 5*w + 2*r. Suppose s - 4*h = -3*s + 8, -5*s - w*h + 28 = 0. Solve -9 = p - s*j + 8, -5*j = -f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 8. Let z(s) = 5*s + 3. Is z(i) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 540, 1085, 1630, 2175, 2720?\n\"Answer: 545*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k - 87. Let p be f(-18). Suppose -15*o + 5*n + 30 = -10*o, p*o = -4*n + 18. Solve 8 = l + o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225788 - 451589 + 225797 + 67*x**2.\nAnswer: 67*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -15*f**4 - 23\/5*f**5 - 11\/15*f**6 + 28 - 27*f**2 - 1\/21*f**7 + 3*f - 27*f**3. Let x(n) = 0. Calculate n.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2136 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y - 1 + 0*y**2 - 1\/3*y**3. Factor h(i).\nAnswer: -(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 3*q. Let j be n(-3). Let h(z) = z + 27. Does 12 divide h(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 = -17. Let j = z + -12. What is the remainder when 22 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002601575 rounded to five dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, n: 4, k: 2, g: 2, s: 2, w: 2}. What is prob of picking 1 w and 1 n?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 7*u - 2303. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/21)\/((-18)\/(-42))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11325 - -11321. Let z = -4 - -4.1. Let h be ((-2)\/18)\/((-4)\/(-30)). Which is the nearest to z? (a) 6\/17 (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(sqrt(135) + sqrt(135)*-2*3)\/((sqrt(180)*3 - sqrt(180)) + sqrt(180) - sqrt(180)))**2.\nAnswer: -2025\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (4 - 3))\/((-2)\/(-4)). Let j be u*(264\/80)\/(-11). Suppose -2\/5 + 1\/5*o**2 - 3\/5*o + 1\/5*o**4 + j*o**3 = 0. What is o?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -110*d + 105*d - 5*o, 0 = -2*d + 5*o - 27. Let h(n) = 8*n + 2. Calculate h(d).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*m - 25, 2*m - 10 - 8 = -2*p. Suppose 0 = p*u - 11 - 31. Calculate the remainder when 896\/20 + 2\/10 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14779 = -d + 5*q - 14795, d + 4*q = 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 753652481 a multiple of 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/970 and 39\/679?\nAnswer: 6790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-2)\/((-4)\/2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 - 4*p**3 - 2*p**3)*(-1003*p + 492*p + 928*p - 2).\nAnswer: -834*p**4 + 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5911, 5311, 4401, 3181, 1651?\n\"Answer: -155*s**2 - 135*s + 6201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.14 and 56063661?\nAnswer: 56063662.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1121 divided by -1482.\nAnswer: 59\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-9*q**2 + 14*q**4 + 9*q**2).\nAnswer: 28*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -272684 - 34?\nAnswer: -272718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28689*y**3 + 13377*y**3 - 11236*y**3 + 54852*y**3.\nAnswer: 85682*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1. Let c(j) = -j**2 + 18*j + 9. Let d(o) = 4*c(o) - 36*v(o). Factor d(n).\nAnswer: -4*n*(n - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2057*r - 6 - 2083*r - 10 + 4011*r as p + f*r and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 63891 = -3*u + 63873, -5*u + 7 = -14*l for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531158460?\nAnswer: 2, 3, 5, 7, 1264663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000748 rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - o = -1, -164*f + 167*f = 5*o + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -12\/35 (b) 10 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (51 - 26 - 22)*(-2*a - 2*a + a) to the form h*a + l and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 86\/14 - (-24 + 30). What is the smallest value in p, -2\/3, 4\/27?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 0. Let m be (x*1)\/(6\/3). Suppose 0*b = 2*a - 5*b - 28, 3*b = -m*a. Solve -a*p + 0*p + 12 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121024820, -121024821, -121024822, -121024823, -121024824, -121024825?\nAnswer: -121024826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -77*p + 272 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 + 70*h - 216. Let a(g) = 3*g**2 - 52*g + 215. Calculate 4*a(b) + 3*d(b).\nAnswer: 6*b**2 + 2*b + 212","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4 = -61. Let j be (247628\/v)\/(-2) - 10\/65. Suppose 0 = -6*i + 4990 + j. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23376728?\nAnswer: 2, 31, 94261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**2 - 11 + 2*b - b**3 + 2*b**3 - 13 + 27. Let j be a(4). Solve 0 = 3*o + 4*d - j, -9 + 2 = -5*o - d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -3*v**5\/10 - 2*v**2 + 4*v. Differentiate p(m) with respect to m.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 8502*h**2 + 2*h + 8947. Let g(z) = -17010*z**2 - 5*z - 17888. Let o(j) = 2*g(j) + 5*y(j). What is the derivative of o(f) wrt f?\nAnswer: 16980*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/(-6)*(-40)\/(-7). Let g = x - 23. Is ((-508)\/(-12))\/((-1)\/g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 5, -5, -2 in descending order.\nAnswer: 5, 1\/6, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -1, -0.06, 0, -3.2, 1\/55 in descending order.\nAnswer: 16, 1\/55, 0, -0.06, -1, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -717170850 divided by -14343417\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78 (base 9) to base 14.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16090633.5 + 16090628.69999895. Let f = k - -4.8. What is f rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 459890 (base 11) to base 10.\nAnswer: 730455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -10. Let d = o + 9. Suppose 0 = -2*u, -u + 4 = d*v + 1. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-710131)\/7171 - (-326)\/11573?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/(-22))\/((-460)\/253))\/((-15)\/6)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) -3\/7 (b) -5 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2 - 10 + 5)*((-2 + 0 + 5)*(-5*k + k + k) + 5*k + 0*k - 3*k).\nAnswer: -21*k**2 + 49*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2346534, 2346532, 2346530, 2346528?\nAnswer: 2346526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*(490\/168)\/35)\/((-5)\/8)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2845163, -2845150, -2845137?\n\"Answer: 13*p - 2845176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1695 - 1691. Let a(c) be the third derivative of 0 + 0*c + 0*c**5 + 0*c**b + 1\/10*c**6 + 12*c**2 - 4\/3*c**3. Find the first derivative of a(k) wrt k.\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (13\/13 - -69)\/((-1)\/(-82)) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 24 - -7 - -18?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + -2*sqrt(1088))*1)**2.\nAnswer: -32*sqrt(17) + 4353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 86 (b) -0.1 (c) 1780 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22454?\nAnswer: 2, 103, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/5 + 8610184*g\/5 + 4633454282116\/5.\nAnswer: 4*(g + 1076273)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -2, 3, 2, -9, -146, 1 in increasing order.\nAnswer: -146, -15, -9, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3126*r + 1564*r + 1567*r + 20 = -5*b, -2*r = 3*b + 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-1)**2 + sqrt(13)*-2 + sqrt(13) + -5.\nAnswer: -sqrt(13) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 29*o + 905. Determine s(-48).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -520050200 rounded to the nearest 1000000?\nAnswer: -520000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 12687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 1\/3, 0.1, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 23, -5, -46 in increasing order.\nAnswer: -46, -5, 14, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*i - 1, 0 = 2*i - s - 12 + 20. Let b(t) = 2*t**3 - 2*t**2 + 4*t - 3. Let u(m) = -m**3 - m. Let d(n) = -b(n) - 3*u(n). Determine d(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, 41, 4, 1\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4327, 8654, 12981, 17308?\nAnswer: 21635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 9411 = 5*f + 9445, -3*f - 33 = 2*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 8 + 11)*(-9*u**2 - 20*u**2 - 6*u**2) + (-2 + 3 - 2)*(-u**2 - 12*u**2 + 2*u**2) to j*u**2 + g + s*u and give j.\nAnswer: -759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 - 3 = 4*v, -113 = -11*u - 4*v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 4:54 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35935571 less than 35935573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(12\/(-3)))\/(2\/2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i - 2. Let t(x) = -221 + 7*x - 216 + 661 - 220. Determine -5*h(w) - 3*t(w).\nAnswer: -6*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 129400 and 27303400.\nAnswer: 27303400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 + 0*o**2 + 0*o**2 + (2*o - 3 + 3)*(o - o - 2*o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/15 + (-2048)\/(-60) + -6. Solve 0 = -13*i + y*i + 60 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-511 - 54*q + 511 + 4*q - 3*q + q + 2*q + 0*q + 0*q + (-4 - 2 + 5)*(0*q + q + q) + 0 - q + 0)*(q + 0*q + q) in the form v*q + d*q**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*n + 223*n = -80. Solve 5*h + r - 5 = 0, n*r = 3*r - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3\/7, -6, 6 in increasing order.\nAnswer: -6, -3\/7, -0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2997 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -17 + (-11 + -1 - -32).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*t + 2*a - 2, 0 = 5*a + 10. What is the tens digit of (-2)\/(-4) + 543\/t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 271 or 489?\nAnswer: 271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-273))\/(0 + 5\/(-60))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3 - 18306*g**2 + 41897856*g - 41879552 = 0 for g.\nAnswer: 1, 4576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-4*sqrt(252) - sqrt(252))*2)**2 + sqrt(77)\/(sqrt(1331)*-2 - sqrt(11))*-5.\nAnswer: 5*sqrt(7)\/23 + 25199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -108514, -868016, -2929526, -6944050, -13562594, -23436164?\n\"Answer: -108501*r**3 + 2*r**2 - r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 8:20 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*u - 11 = 5, 36 = 5*g + 4*u. Suppose 18 = -g*s + m, -4*m = -2*s + m. Find the common denominator of 5\/22 and 252\/s*(47\/(-8) + 6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, w: 3, x: 3, e: 4}. Give prob of sequence xwx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*v + 38*v + 38*v + 36*v - 166*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**3 - 68*n**2 - 502*n + 1292 = 0.\nAnswer: -19, -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1142 + -1127. Put v, 11, 1 in increasing order.\nAnswer: 1, 11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-336)\/(-10) + 10)*10\/2. Let v = 216 - p. Let u(n) = 5*n**3 + n**2 - 1. Let d be u(1). Sort 1, d, v, -1.\nAnswer: v, -1, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11638 is divided by 267.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 - 13*q - 6. Let s be j(8). Suppose 14 = -f + s. Find the second derivative of 37*a - 16*a - 2*a**f + 13*a**4 wrt a.\nAnswer: 132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176 - -155) + (0 - -1) + (6 - 4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100.6 - -100.1. Which is the fourth biggest value? (a) 0 (b) 0.09 (c) i (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 36. Suppose -y*g - 60500 = g. Round g to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29\/3 or 8?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 36\/7*b**3 + 3\/7*b**4 - 90\/7*b - 129\/7*b**2.\nAnswer: 3*b*(b - 15)*(b + 1)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 15*j. Let c(y) = -12*y - 27. Let u(m) = m + 2. Let x(n) = -4*c(n) - 54*u(n). Give k(x(w)).\nAnswer: -90*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -438*b**2 + 291*b**2 + 216*b**2 + (5 - b - 5)*(0 + 0 + 2*b).\nAnswer: 67*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 761*k**2*y - 2*k**2 + 2*k*y - 2*k - 11*y - 1186 wrt k?\nAnswer: 1522*k*y - 4*k + 2*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(-2\/31)*(w**1)**(-1))\/(w**(2\/13)\/w**(-1\/5))**(-3\/35) assuming w is positive.\nAnswer: w**(-72936\/70525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9\/4 - -3\/4. Let n = -4.07 + 0.07. Which is the closest to -2? (a) n (b) -1\/10 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/461 in 0.4, -1, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 6*c**2 - 5*c + 12.\nAnswer: -(c - 1)*(c + 3)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6271?\nAnswer: 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47788771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 713.8186us?\nAnswer: 0.7138186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 44\/6*309 + 67\/(-67)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*c + 1760, -36*l + 8800 = -31*l - 2*c. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxdxddxu. What is prob of picking 2 x and 2 d?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12)\/(10\/8)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 41162489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 43231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29280 and 252235?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 3*p + 1. Let u be (-1 + 1 - 15\/5) + -2. Let w(z) = -5*z - 18. Calculate the remainder when w(u) is divided by n(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -624993*z - 28. Let v(g) be the third derivative of g**4\/12 + 3*g**3 - 16*g**2. Let q be v(-7). Let k be y(q). Round k to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k - 5*k - 5*k + 12*k. Let i(t) be the first derivative of -2*t**2 + 2. Determine i(o(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.3 - -9. Which is the nearest to 0.1? (a) 0.3 (b) -2\/133 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-12)*(-6)\/2. Let t(m) = -12*m. Let v(q) = -3*q. Give f*t(b) - 21*v(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9468.144 months in millennia?\nAnswer: 0.789012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -4203*o**5\/20 - 7829*o**3\/6 - 5912*o. What is the second derivative of v(j) wrt j?\nAnswer: -25218*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 - 77. Let w = k - -315\/2. Is w less than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.0029 - 36. Round i to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-1 + 29 + (877 - 836)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/o**(-1\/5))\/o**4)**27)**(9\/7))**(-1\/25) assuming o is positive.\nAnswer: o**(486\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -230*z**2 - 809*z?\nAnswer: -460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -75 - 2*b + 151 - 79. Let q(z) = -z. Let a(d) = n(d) - 3*q(d). Calculate a(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-120)\/6)\/10)\/(7*-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/12)\/((-141)\/94)*190. Let w(k) = 7*k - 2. Let p be w(3). What is the highest common factor of s and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38.7*0.3.\nAnswer: 11.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**4 + 50*j**3 + 5*j**2 - 410*j - 360 = 0.\nAnswer: -2, -1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 12:35 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33585\/2052 - 6\/27. Let u = k - 65\/4. Which is the second smallest value? (a) 2\/11 (b) u (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2103 divided by 4?\nAnswer: -2103\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1413*t**2 + 785*t**2 - 235*t**2 to the form f + g*t + h*t**2 and give h.\nAnswer: 1963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -15, -17 in descending order.\nAnswer: -11, -15, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 21. Let s = -0.1 + 0. Let p = -0.2 - s. What is the closest to w in p, -1\/2, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 290127 and 5509422?\nAnswer: 534413934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1. Let x(l) = -l + 11. Let f(v) = 2*v + 12. Let m(c) = -c - 12. Let s(g) = 2*f(g) + 3*m(g). Let o(a) = -5*s(a) - 6*x(a). Determine o(h) + 4*z(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/3 (b) 63 (c) 3\/109 (d) 6.4 (e) -0.4 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-7 - 0 - (18 + -23)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*a**2 - 13*a + 13*a)*(15 + 8*a - 15) + 2*a**3 + 7*a - 7*a.\nAnswer: 90*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 287893 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-532)\/(-16) - 21\/(-28). What is the greatest common factor of b and 442?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28918837147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*((-3)\/10)\/(9\/6). Let g = 7.9 + -8. Which is the closest to h? (a) 2 (b) 0.4 (c) 4 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 0*k + 2 - 4*k + 2*k**2 + k - k. Let w = -12 - -20. Let h be (-5)\/2*w\/(-10). Determine y(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyzzyyyzyyyyyyyyyzyz. Give prob of sequence yz.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 86689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**2 - 2486246058*a - 515118288410044947 = 0?\nAnswer: -414374343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1578258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.02, 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -142ecc - 3?\nAnswer: -142ecf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2\/3 + 1228484*f\/3 - 188646617282\/3 = 0. Calculate f.\nAnswer: 307121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 2:21 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12354968993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 80722448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2. Let q(a) = 1318*a + 2. Determine q(o(n)).\nAnswer: 3954*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 7. Is (30\/(-24))\/((-1)\/t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2209560, 2209511, 2209462, 2209413, 2209364, 2209315?\n\"Answer: -49*k + 2209609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/3))**(-2\/9) assuming x is positive.\nAnswer: x**(-10\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u + 14. Suppose 5*h + r = -29, -16*h + 11*h + 3*r = 13. Give o(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*a - 21, 2*a + 24 = 5*h + 5*a. Suppose -v - 5*c + 19 = 0, 2*c + 41 = 2*v + h*v. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2939994)\/(-14) + (84\/(-49))\/3. Suppose -2*i + 3*i + 69998 = 2*z, 3*i + c = z. Round i to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 - 60*s**2 + 400*s - 7. Calculate y(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -z + 1000. Suppose -z = -6*q + q. What is the highest common divisor of q and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1358651124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + -1)*3 + (sqrt(2448) - -2*sqrt(2448)*3 - sqrt(2448)))**2 + -3.\nAnswer: -648*sqrt(17) + 198294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 1, t: 1, r: 1, k: 2, s: 1}. What is prob of picking 1 k and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 461 + -458.201. Round y to one dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - r. Let a(s) = -6*s**3 - 6*s. Calculate -a(c) + 3*o(c).\nAnswer: 3*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2)\/l)**(-48)*(l**1\/l)**(-7) assuming l is positive.\nAnswer: l**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.1 in 8, 1\/3, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 12 = -4*c. Solve 0 = -c*z - 2*x + 8, -z + 5*z - 2*x = -2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 6*p - 5*n - 1 = 10, 5*n = 0 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -11022201?\nAnswer: 11022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + -99. Sort k, -4, 0 in descending order.\nAnswer: 0, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*m - 34*m - 38*m + 132*m - 30*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -48000*s**3 - s - 5. Let o be i(-5). Round o to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 210 + -106. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 3. Let y(r) = 4*r**2 - 14. Let w(c) = c**2 + 18*c + 18. Let g be w(-16). Give g*d(x) + 3*y(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 199, 322, 461, 622?\nAnswer: 811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 5*m**2 - 5*m + 5. Give i(4).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -114, -137, -164, -189, -206?\n\"Answer: j**3 - 8*j**2 - 6*j - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i = 18*i + 1880. What are the prime factors of i?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -19*n**3 + 336. Let i(r) = -38*r**2. Calculate i(b(x)).\nAnswer: -123462*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -58555459554.3 from -16.6.\nAnswer: 58555459537.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6566*r - 6566*r - 2*r**2 - 3*r**4 + 7*r**4 - 11*r**5 wrt r.\nAnswer: -660*r**2 + 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - q + 13, -h - 3*q + 4*q = 3. Suppose y = 132 - 118. Suppose s + 4 = c + 3, 0 = s - 4*c + 13. Solve -s*g = -y + h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.170647 times 2?\nAnswer: 46.341294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27927?\nAnswer: 3, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*v + 3, v + 1 = 2*n - 3. Suppose -g = 2*c + n, -2*g - 1 + 3 = 0. Is 40\/(-25)*15\/c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*a + 2*a + 19, v = -3*a - 13. Let g = 139\/1815 + -10\/121. Is v equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59098 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -1 + -1 - -10. Suppose 10 = 5*w - k. Solve -w*i - 2 = 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-6) - 1 - 1. Let u(s) = 2*s**2 + 12*s + 4. Let b be u(-6). Suppose -b = -5*m + 1. Which is smaller: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 71*o**2 - 795*o - 3. Determine x(14).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 35, 2\/13, -28, -2, 606?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3267373*c**4*t**2 - 17943*c**2*t**2 + 2*c**2 + 5 wrt c.\nAnswer: -78416952*c*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8076*h - 191 + 8048*h + 380 - 189.\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 214 and 2?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/315)\/((-12)\/(-8)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 14 + 4 + 9*q + 10.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3190 (base 11) in base 10?\nAnswer: 4213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 0 (c) 2\/5 (d) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 259 + -261. Let i = 3.05 - 0.05. Sort 0.3, i, u.\nAnswer: u, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1988 + -7863\/4. Calculate the common denominator of o and (-4)\/(-6)*(-46)\/(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -34*o - 715. Let h be t(-21). Put 5, -3, 4, h, 26 in ascending order.\nAnswer: -3, h, 4, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -85*t**2 + 4*t + 1. Give f(-1).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5457 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**1)**(-35))**(2\/69) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.3 (c) 2\/5 (d) 7 (e) 0.15 (f) 131\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 71843 + 0*z - 7*z - 71845. Let j(q) = 7*q + 2. Calculate -4*j(u) - 3*s(u).\nAnswer: -7*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1671 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 112.4915 litres?\nAnswer: 112491.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 16*u + 63. Let k be v(-6). Let i(f) = f - 1. Let s(j) = 4*j - 7. Let x(h) = k*i(h) - s(h). Determine x(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 3. Give b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08198 + -7.\nAnswer: -6.91802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/6)\/((-8)\/(-848)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8e53 (base 16) to base 6\nAnswer: -440403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 92\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -0.4, -1.2, -0.04, -1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4438 + 4509. Solve -39 = -8*z - s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmxxmxmmxmxmxxmm. What is prob of picking 4 x?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 7:02 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/3 - 134*m**3\/3 - 140*m**2.\nAnswer: 2*m**2*(m - 70)*(m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 15 + 3. Let d = 13 + -14. Let u = -5\/4 + 7\/4. Which is the nearest to u? (a) z (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdgbvebsd. Give prob of sequence ddse.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 55 = 4*i. Let y = i + -9. Suppose -2*j = -10 - y. What is the highest common factor of j and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 12*g**2 - 8*g. Let n(y) = 8*y**2 - 5*y. Let q(f) = 5*l(f) - 8*n(f). Let z(j) = -j. Give q(z(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ggnngngnnn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3655 + -3213. Calculate the greatest common divisor of n and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/3 (b) 0.1 (c) -4 (d) -83 (e) 0.01 (f) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 34411.02 nanometers?\nAnswer: 0.00000003441102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4628, 9215, 13800, 18383?\n\"Answer: -t**2 + 4590*t + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 376\/240*5*95\/((-950)\/(-120))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13\/4 of a second?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (30 + 5)) + (39 - 39) - -1\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3179 - 2*3\/6*-1. Suppose -68*d + w = -65*d. Suppose r - d = -4*r - j, 5*j = -2*r + 447. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 4. Let o = 5 + -11. Let d be x(o). Suppose d = a - 3*b, 4*a + 3*b = -0*b + 23. What is the greatest common divisor of 55 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**5\/30 + 2*m**4 - 48*m**3 + 10*m**2. Factor q(j).\nAnswer: -2*(j - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -119 + -4 - ((32 - (21 - -5)) + -2)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988415650.\nAnswer: 2, 5, 331, 59723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130505926?\nAnswer: 2, 137, 476299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 0*p + 201. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135 - 130. Differentiate -114*y + x - 2 - 19*y + 3 with respect to y.\nAnswer: -133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/4 - 3*o\/4 + 5\/2.\nAnswer: -(o - 2)*(o + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -180, 3, 4, -12 in descending order.\nAnswer: 4, 3, 2, -12, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 5. Let a = 2.33 + -2.5. Let p = 0.22 + a. Sort p, k, -0.4 in decreasing order.\nAnswer: p, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yycc when four letters picked without replacement from {u: 7, y: 3, c: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5903 + 6213. What is the second biggest value in h, 0.6, -1\/3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 (base 14) in base 13?\nAnswer: -9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7038997*z**3 - 185*z**2 + 14201*z?\nAnswer: -42233982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284873179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y. Suppose 0 = -3*f - 0*f + 12. Let i(q) = -14*q**2 - 4 + f + 20*q**2. What is i(o(r))?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183238.\nAnswer: 2, 11, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) -5 (b) 0 (c) -0.3 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33a35 + a4?\nAnswer: -33971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Calculate ((-8)\/(-6) - 5566\/1380) + 3.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 5*m = 70, 0 = -x - 200*m + 196*m + 24 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 2*b**5\/45 - 53*b**4\/9 + 136*b**3\/3 - 1208*b**2\/9 + 1600*b\/9 - 1164. Factor o(c).\nAnswer: 2*(c - 100)*(c - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2353.84 to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(-6)*y)\/y)\/y*y*y)\/y)**39 assuming y is positive.\nAnswer: y**273","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*a = 4. Sort -4, -5, a in decreasing order.\nAnswer: a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t - 9. Let b be r(3). Suppose 1799 = -b*c + 5417. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 1\/40*m**6 - 1\/16*m**4 + 1\/168*m**7 + 1\/80*m**5 + 0*m**2 + 0 - 4*m - 1\/12*m**3. Factor i(f).\nAnswer: f*(f - 1)*(f + 1)**2*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from civnclva. Give prob of sequence alvn.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 765641428 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37a77 - -4?\nAnswer: 37a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (520\/(-65))\/(1*2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00251612655 to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 1. Suppose -9*s**2 + 2*s**4 - 5*s + s**4 - s + 0*s**p = 0. What is s?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -606898187+1.61\nAnswer: -606898185.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*x + 25. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - v + 421 + 37, 4*v = j - 478. List the prime factors of j.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2 + 62*c - 43. Let l be p(20). Let y(o) = -o**2 + 3. Let i(m) = -m**2 + 4. Give l*i(g) + 4*y(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 114.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 714 or -93\/4?\nAnswer: -93\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 97?\nAnswer: -5\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, r: 2, z: 3, m: 3}. Give prob of picking 1 p and 2 r.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 8)*(v**5 - 2*v**5 - v**5) + (-3*v + 0*v + 2*v)*(3*v - 3*v - 3*v)*(3*v**3 - 4*v**3 - v**3).\nAnswer: -20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -1, -0.02, 1, -4, 5 in increasing order.\nAnswer: -4, -1, -0.02, 1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15907\/6 - 88097\/12. Let r = -4713 - m. Calculate the common denominator of r and -7\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -628a6b?\nAnswer: 628a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -74, -3, -2, 13 in descending order.\nAnswer: 13, -2, -3, -7, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1143736 or -1143741?\nAnswer: -1143741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1185373 to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221342402 + 12340?\nAnswer: 221410242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 8*r**2 - 6*r. Let w be s(-7). Let y(g) = -g**2 - 21*g - 13. List the prime factors of y(w).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -64*r**2. Let m(j) = 8*j**2 + 16*j + 32. Let p(l) = -3*l**2 - 5*l - 10. Let b(t) = -5*m(t) - 16*p(t). What is x(b(z))?\nAnswer: -4096*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**5\/30 + s**4\/24 - s**3\/3 - 3*s**2. Calculate the remainder when 7 is divided by h(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22193a (base 12) in base 3?\nAnswer: -1000112202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35888 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 276*a**2 + 88*a - 2342. Let g(f) = 19*f + 3. Determine 176*g(q) - 6*m(q).\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2548) + -1*sqrt(2548) + 3*sqrt(156)\/sqrt(3))\/((sqrt(100)*1*-6 + sqrt(100) - sqrt(100)) + sqrt(100) + (sqrt(100) + sqrt(100) + sqrt(100)*1)*-1).\nAnswer: -3*sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -11 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*g + 12. Suppose 21 - g = 5*m. Differentiate -m + 2 + 0 - 3*c with respect to c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -655 + 660.54. Round j to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83808 by 3076.\nAnswer: -20952\/769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 - 24*h - 66*h + 8*h as x*h + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22970110, -45940219, -68910328?\n\"Answer: -22970109*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -241 + 32?\nAnswer: -20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 12 + -7 + 11 + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.4 (c) 5 (d) 0.1 (e) -0.4 (f) -5\/56\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -1, 3, 5, 93 in ascending order.\nAnswer: -1, 3, 5, 22, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 24 = 4*k. Let q(i) = 20*i**2 - 3*i - 9. Is q(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5384909757 to the nearest integer?\nAnswer: 1753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -376.128 + -26037.\nAnswer: -26413.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 431*l*u*x - l*x - 69*l + 1 wrt u.\nAnswer: 431*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62307*x**2 + 49789*x wrt x?\nAnswer: -124614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 973717 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 5 - 4 + 1)*(-2 - 3*n + 2).\nAnswer: -3*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zigzigzpigz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20021901?\nAnswer: 3, 397, 16811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2660 + -1466. List the prime factors of z.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 67533 (b) 4 (c) -15\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*x + 2*a - 4*a, -2*x = a - 9. Let p be (5 - 3)\/((-2)\/7). Is (-211)\/(-1) - (x + p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 671989 and 19915.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1 + 0 - 2*h + 6*h - 2*h + 11*h**2. Let u be p(-2). Let m = u + -23. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - (2 - 21\/(-14))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13544343 + 236?\nAnswer: 13544612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -2 + (0 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1010, 1986, 2954, 3908, 4842, 5750?\nAnswer: 6626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/5)\/a**(-1\/3))\/((a**(3\/4)\/a)\/a*a\/a**0*a)*(a**5\/a*a\/a**(-4)*a)**(2\/7) assuming a is positive.\nAnswer: a**(1277\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -26524) + 1 + 2. Let o be ((-6)\/4)\/((-24)\/m). Let n = 2359 - o. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 27931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -39 + -22 + (-27 - (-40 - -3))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 + 365. Suppose -5*j = -5*i - x, -4*j + 3*i + 220 + 118 = 0. What are the prime factors of j?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286 divided by 119.\nAnswer: -286\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 90 (base 15) to base 14\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41665?\nAnswer: 5, 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/440 and 121\/120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (0 + -2 + -6)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1477\/3 + 492. Sort c, 4.2, -1, 1 in descending order.\nAnswer: 4.2, 1, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (11312\/40)\/((-2)\/(-5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32\/7 + 2\/21*k**2 - 26\/21*k = 0. What is k?\nAnswer: -3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*k + 1010 - 5615 = 0 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1093973483027 + -4.\nAnswer: -1093973483031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 9*b**2 + 7*b - 6. Let d be g(-8). Let t be 10*3\/((-9)\/24). Let o be 3\/((-114)\/t) - d. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/7 - 123807*u**2\/7 + 70752*u - 495276\/7.\nAnswer: -3*(u - 2)**2*(u + 41273)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2543? (a) -2 (b) 0 (c) -0.4 (d) -0.82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 9:47 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -1.8.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 - -341\/7. Let f = 15 + -10. Which is the nearest to 1? (a) 0 (b) x (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - a - 1. Let o(w) = -4*w**2 - 4*w - 4. Calculate 2*o(v) - 9*r(v).\nAnswer: v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*q - 35 = 0. Let f be (q - -2)*(-4570)\/15. Is f\/5 + 1\/5 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -192.4 + 192. Suppose -4*r = -18 - 46. Let j be r\/8 + 5\/(-2). What is the third biggest value in 2, x, j, 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1209*q**2 + 6 - 10*q + 2*q + 4*q - 7 + 5*q to f*q + h + o*q**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9370857 to the power of 1\/2, to the nearest integer?\nAnswer: 3061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 - 71. Suppose 2*a - 2*n - 74 = 0, 2*a + n - 21 = m. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 4*o + 28, o + 5*f - 9*f - 13 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -61. What is the first derivative of t*y**4 - 12*y**4 + 11*y**4 - 77 + 25 wrt y?\nAnswer: 192*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Let g = z + 9. What is the highest common factor of 63 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(76) - sqrt(76)) + sqrt(76) + (sqrt(475) - (1 + sqrt(475)) - sqrt(475))**2 + 5.\nAnswer: 12*sqrt(19) + 483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 74084?\nAnswer: 74083.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2263 (base 14) to base 4.\nAnswer: 1131033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -4*p + 6. Let q = 2 - 3. What is the closest to -6 in 3, p, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-724)\/(-38) - (37 - (-72)\/(-4))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, g: 11}. Give prob of sequence fgg.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-8))\/(3\/36). Let i(b) = -a*b - 3*b + 11*b. Let d(m) = 2*m**2. Give i(d(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**5\/20 + 3*q**4\/4 + 4*q**3\/3 - 3*q**2 - q + 5. Let l(f) be the first derivative of d(f). Is 12 a factor of l(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 356 - 633. Let a = 290 + i. Calculate the remainder when 22 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3 = -9. Suppose y + 5 - 1 = -3*w, 0 = -2*w - y - 2. Let f(u) = -19*u + 2. Let k be f(w). Solve z + 0*l = -p*l - 25, 5*z + 3*l + k = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 43. Suppose 7*m - 16 = r*m. Solve m = -2*a - 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2516, 4, 2 in descending order.\nAnswer: 2516, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1104657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/635 and 40\/1397.\nAnswer: 6985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6119*m**2 + 5*m**4 + 70 + 4*m - 3063*m**2 - 3056*m**2 + m as w + q*m**2 + d*m + v*m**3 + f*m**4 and give w.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2187 = -3*c, -9*c = -11*c - 3*l + 1458. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20034114, -20034109, -20034104?\n\"Answer: 5*y - 20034119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1776*q - 1673. Is 40 a factor of s(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3770 is divided by 549.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 + 107. Suppose -3*f = 3*y - 0*y - j, 3*y = -2*f + 18. Calculate the highest common divisor of y and 256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 11*q + 18. Which is the second biggest value? (a) -3 (b) q (c) -2\/9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-1) - 3 - -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 4:23 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14858 - 7714 - 18465 = 1074*c - 13113 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5272 divided by 8\nAnswer: -659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/((-6)\/42)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13352555.7 microseconds in days?\nAnswer: 0.00015454346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 288880 rounded to the nearest 1000?\nAnswer: 289000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q**(1\/4)\/q)*q)\/q)**4\/(q**4*q**(2\/7)))\/((q**(-1)\/q)**(-2\/7)\/(q*q**(-1\/7)*q*q**(-2\/11)*q)) assuming q is positive.\nAnswer: q**(97\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/12 + -1)\/((-304)\/(-368 + 106160))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4 - 47126*n**2 + 23545*n**2 + 23566*n**2 + 2*n**4 + 2*n**4 + 1348*n**3 - 79 wrt n?\nAnswer: 96*n + 8088","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oieo when four letters picked without replacement from tttttoeeiot.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14 + 1)*1*4\/6. Let z(h) = 8*h**3 - 2*h**2 + 1. Let f be z(-1). Let g = f + y. Solve -2*o - g - 1 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*f - 6*g - 12, -5*f + 35*g + 12332 = 12067 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -55*a**3 - 109*a**2 - 43*a - 86. What is r(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 11*v**2 + v + 13. Let t(h) = -h**2 - 16*h + 46. Let g be t(-19). Let u be p(g). Solve -u*o + 1 = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3) + 5*((-16)\/(-10) - 1)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-8)\/(-10) + -1). Suppose 3*l = 5*s + 44, m*s = 2*l + s - 32. What is the remainder when (-7 + 56 - 0) + -4 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657*r - 2806 = -703*r. What is the remainder when r is divided by 41?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -60. Which is the closest to -0.06? (a) -2\/7 (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 - 7*q**2 + 8*q - 16. Calculate the remainder when 93 is divided by z(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 328.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -23438016 + 22\nAnswer: -23437994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*q = -3*z - 400, -5*q - 25 = 0. Let u = -88 - z. Let c(w) = 2*w**2 + 2*w + 1. Let t be c(-2). Put 1, u, t in decreasing order.\nAnswer: t, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -24*r - 24 - 21\/8*r**2 = 0.\nAnswer: -8, -8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*c + 4*f, -2*f + 2 + 6 = 0. Suppose 2*m - 4894 = -5*b, -b - c*b + 4*m + 2952 = 0. Suppose -49*p = -45*p - b. Is p a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11668 and -0.5.\nAnswer: 5834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p - 3*p)*(-3 + 2 + 73 + (-5 + 3 - 1)*(1 + 0 - 3)).\nAnswer: -78*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 287*o**4 - 2*o**3 + 2 - 320*o**4 as n + h*o**3 + s*o + x*o**4 + m*o**2 and give x.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 44*y + 215. Give j(-6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/5*(-1)\/(-3). Suppose 0 = 3*y - 4*n - 6, -y - 7 = 4*n - 9. What is the second smallest value in -0.1, y, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a + 0*a + 9 + 3*a + (-a + a + 2*a)*(14 + 9 + 12) as x + d*a and give d.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/3)*p\/(p*p\/p**(2\/5)))**(-2\/97) assuming p is positive.\nAnswer: p**(-22\/1455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621516.\nAnswer: 2, 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 369\/(-328)*20\/(-75)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-204)\/2*345\/207*(-6)\/20. Solve y*g - 161 = 196 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140008024 a multiple of 3692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*y**3 - 2563*y**3 + 265*y**3.\nAnswer: -2348*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f + 30318 = 64*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 10*i = 12*i + 154, 0 = -4*i + 16. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1573, -3781, -6603, -10345, -15313, -21813, -30151, -40633?\nAnswer: -53565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + 4 + 3*n**2 - 2*n**2)*(0 + 1 - 3 - 1 - 1 + 1 + 0 + 3 - 4 + 3 - 4 + 3 + (4 - 2 - 1)*(1 - 2 - 1)).\nAnswer: 12*n**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -1\/6 (b) 3\/4 (c) 3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19589600027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12042 = -174*x + 17784 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2506 is divided by 451?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l + 8. Let v(t) = -9*t**2 - 2*t**3 - t**3 + t + 4*t**3 + 1 + 12*t**2. List the prime factors of v(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 13. Let r(s) = 1 + t - 9*s**2 + s**3 - s - 8*s + 4. Is 20 a factor of r(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.066 - -0.066248. What is z rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4070574 to the power of 1\/2, to the nearest integer?\nAnswer: 2018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5849 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in two sevenths of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 10925.03 minutes?\nAnswer: 655501800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17385 is divided by 276.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -8\/315*o**7 + 1\/15*o**5 + 2\/9*o**3 - 5\/18*o**4 + 1\/18*o**6 + 0*o + 0 + 19*o**2. Let p(l) = 0. Calculate l.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 731.9409l?\nAnswer: 731940.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 a factor of 13745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25725638 by -3749.\nAnswer: -6862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 28. Let b(r) = 4*r**4 - 21*r**3 - 25*r**2. Let d(m) = m**4 - 5*m**3 - 6*m**2. Let c(k) = v*b(k) + 26*d(k). Factor c(u).\nAnswer: 2*u**2*(u - 3)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -21*z + 150. Let k be g(8). Let p = k - -107\/6. Let o be (-5)\/2 + 2 + 0. Which is the fourth smallest value? (a) o (b) 3\/2 (c) -4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 0 - 2 + 1 + 9*d - 8*d. Let k be q(4). Suppose -5*l + 3*h = -l - 126, -k*l - 2*h + 103 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2022 - 12?\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 12:55 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-7)\/(-294))\/((-260)\/(-84) - 8\/(-24)))?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15295?\nAnswer: 5, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39753 - -106029. What is the thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.43400082 - -1.434. What is z rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 12*v - 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n**(-5)*n)\/n*n**4)\/(n\/(n\/n**0))**(4\/25))\/(((n\/(n\/n**1))\/n)\/n*n*n**(-1\/4)*(n**(3\/2)*n)\/(n*n\/(n*n**(-7))*n*n)) assuming n is positive.\nAnswer: n**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1368 + 0?\nAnswer: -1368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((40\/6)\/(-10))\/((-4)\/(-30)). Let i(c) = 3*c - 1. Let f be i(-1). What is the units digit of f\/k + 4\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5507 is divided by 1025?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*f = -42, f = -2*l + 3*f + 22. Let x(n) = n**2 - 12*n + 1. What is the tens digit of x(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-190)\/84 + 12*10\/1260 - (-4 + 2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -2*w**2 - 3\/2*w**3 - 3*w + 0. Is j(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 17 - 3 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 17*f**2 + 4047*f - 20207. Determine x(5).\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 287 - 247. What is the lowest common multiple of t and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 13. Let l(t) = -t**2 - 11*t - 36. Let w be l(-3). Let r be u(w). Let m(j) = -j**2 + 10*j + 16. Determine m(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3030031220 + -3?\nAnswer: 3030031211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1916850?\nAnswer: 2, 3, 5, 13, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {i: 3, w: 2, q: 6, t: 8}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(44)\/(sqrt(324) + sqrt(324)*-2) + sqrt(99)\/(-4*(sqrt(36) - sqrt(9))).\nAnswer: -13*sqrt(11)\/36 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xeqxqxneqxqyqxnqqe. Give prob of sequence yene.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + k - 7 = 0, 9 = a - 3599*k + 3604*k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(3) - (sqrt(3) + sqrt(3)*3)) + -1*(sqrt(3) + 3) + (4 + sqrt(363)*1)*2.\nAnswer: 8 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -121131 (base 4) in base 10?\nAnswer: -1629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 6:01 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -96\/779147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3 + x**3 + 5*x**3 - 2*x**4 = 0. What is x?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1305 by 145.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) 0.24 (c) -16\/13 (d) -4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31494, -28576, -23714, -16908, -8158?\nAnswer: 2536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.7 + -24.3. Let v = -102130.5782 - -102110. Let y = a - v. Round y to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 25*m**3 + 4*m**2 - 12*m + 2. Calculate t(2).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**4 + 74*q**3 - 1213*q**2 - 5772*q - 6084 = 0.\nAnswer: -2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.03, 0.3, -0.51, 2\/19?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(20)*-3)\/sqrt(10) - (-2 + sqrt(50))) + 4)**2.\nAnswer: -96*sqrt(2) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/5? (a) 1\/208 (b) 8\/11 (c) 0.1 (d) 2\/5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2146 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -805, -810, -813, -814?\nAnswer: -813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 4*h**2 - 8*h - 27. Let t be j(-4). Suppose 5*l = -t, -z + 22 = -4*l + 3. Solve 6*v = v + z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2. Let t(p) = 2*p + 5. Let s(n) = n. Let u(w) = m*t(w) + 6*s(w). Is u(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2*(-1)\/3)\/(1\/3). Let u be ((-3)\/(-6) - 0)*(10 + r). Suppose o + u*n - 107 = 0, 3*o - o - 198 = -4*n. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 203, 9, -5.\nAnswer: -5, -1, 9, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23645002.\nAnswer: 2, 31, 381371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -53254.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25.4 - -25.3999686. Round i to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 67, -40, -4?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5094*u**3 + 50*u**2 - 5079*u**3 + 0*u**4 - 5*u**4.\nAnswer: -5*u**2*(u - 5)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65020 and 40.\nAnswer: 130040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 - 3*c**2 + 22*c. Let o(b) = -2*b**3 - 5*b**2 + 21*b. Give 4*k(l) - 3*o(l).\nAnswer: -2*l**3 + 3*l**2 + 25*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18 and -2445510412.8.\nAnswer: -2445510394.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79910 and 480770.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(0 + 5\/40). Solve -4*u + 4 = x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3555533 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -10. Suppose 2*c - y - 16 = 0, -3*c + f*y - 17 = -39. Let i = 15 - c. Solve 3*r + 4 = -r + i*w, -4*r + 4*w = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -830, -1530, -2230, -2930, -3630, -4330?\n\"Answer: -700*w - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/24 - (-34)\/8. Suppose -f + 1 + n = 0. Let o = 12 - -1. What is the remainder when o is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35398 - 35398.00005353. What is s rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -487.3 and 52?\nAnswer: 539.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)*b)**16\/(b**(2\/3)\/(b*b**(2\/3))))\/((b*b**(-1\/3))\/b**1*(b*b**(-3))\/b**(-3\/2)) assuming b is positive.\nAnswer: b**(139\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 3*j + 1. Let x be k(2). Suppose -5*v = -h + 18, -3*h = -0*h - 4*v - 10. Let r = h + x. Calculate the remainder when 1 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 14*g - 24. Let o(j) = -j - 1. Calculate i(n) + 12*o(n).\nAnswer: 2*n - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5*(-4)\/60)\/2. Let o = 14 - 23. Let h be o\/(-6)*(-10)\/3. Which is the third biggest value? (a) -2\/11 (b) r (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77118.\nAnswer: 2, 3, 12853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*z + 6 = 0. Let m be 105 - z\/(-6)*-4. What is the derivative of 10*r**4 - m*r**3 + 107*r**3 - 6 wrt r?\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s - 32. Let f(w) = 782*w**2. Determine f(d(r)).\nAnswer: 3128*r**2 - 100096*r + 800768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Let g = 187 + -183. What is the second smallest value in l, 1\/6, g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/2)\/(75\/(-25))\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7572062, -7572056, -7572040, -7572008, -7571954, -7571872, -7571756, -7571600?\n\"Answer: v**3 - v**2 + 2*v - 7572064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 171684, 171685, 171686, 171687, 171688?\n\"Answer: i + 171683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7275 * 14142.\nAnswer: 102883050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1209 - 665. Let x = -19319 - -19336. Calculate the highest common factor of x and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/21)\/((-3288)\/(-2877))*3000\/(-4)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-78)\/(-4*3\/6). Suppose -3*u + 26*u = 0. Suppose 55 = 4*c - u*j + 5*j, 0 = -3*c - 3*j + i. What is the lowest common multiple of 16 and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 - 24*s**2 - 20*s - 90. Determine p(-11).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*d + d - 3*d)*(-11*d - 3 + 9*d + 4*d) in the form i*d + n + t*d**2 and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2 - 9*q - 61. Determine p(-3).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/216*(-6759)\/(-3004)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 63 = -227. Let o = 10 + 7. Let u = b - 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: Calculate the remainder when (1178\/(-57))\/(3\/(-9)) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, u: 3, s: 1}. What is prob of picking 1 e and 3 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(9\/(-2))\/3. Let a(n) = -4*n**2 + 3*n + 1. Let z(c) = -4279*c**2 + 4276*c**2 - c + 4*c. What is u*z(p) + 2*a(p)?\nAnswer: p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 103297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11057, 21764, 32485, 43226, 53993, 64792, 75629?\nAnswer: 86510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k = 55. Let l = k - -65. Let n be ((16\/(-5))\/4)\/((-4)\/l). Solve 0 = 4*w - 6 + n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5129 + 18471. List the prime factors of g.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 150 + -148.28. Which is greater: -2\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -5*w**3 + 19445*w**2 - 116455*w - 135905 = 0.\nAnswer: -1, 7, 3883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**2 - h + 1. Let g(m) = m**2 - 9*m + 9. Let c be g(8). Does 5 divide x(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfff when four letters picked without replacement from {f: 4, y: 1, b: 6}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*g + g - 6 - 3*g)*(1 - 2*g - 1 - 31*g + 27 - 27 + (-4 + 30*g + 4)*(-3 - 2 + 4)) + 2*g**2 - 5 + 5 as n*g**2 + t*g + q and give t.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5623 - 2744. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 539.3?\nAnswer: 539.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1 - 3 + 6*g**3 + 3. Suppose -6*w + 0 + 12 = 0. Suppose 3*y = -w*q + 4*q + 5, 5*y = -5*q. What is l(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 5)*(0 - q + 0) - 184*q + 327*q - 221*q - 164*q + 60*q + 69*q to the form p + f*q and give f.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 50 = 2*u. Suppose s - u + 2 = 0. What is the tens digit of (-81)\/(-4) - (-6)\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/2 - 1566*t**3 - 1226178*t**2.\nAnswer: -t**2*(t + 1566)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5300788nm in micrometers?\nAnswer: 0.0005300788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 895560 and 110160.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -656 + 2623\/4. Which is the closest to q? (a) -2\/5 (b) 0.1 (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + 3 + -422 + 348?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 157784748 divided by 3?\nAnswer: 52594916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758*p + 13416 = 45252 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 193*u**2 - 5653*u - 156. Determine w(-157).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -532264, -5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 1088. Let z(c) = -2*c. What is z(o(s))?\nAnswer: -4*s**2 - 2176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1*3)\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 372, 718, 1288, 2076, 3076?\n\"Answer: -c**3 + 118*c**2 - c + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 507999 and 34743.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 17*p**2\/2 - 6. Calculate the remainder when n(3) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 8.6. Let z = -1.95 + -0.05. What is the nearest to -1 in z, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16536.\nAnswer: 2, 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 90597.64 millennia in centuries?\nAnswer: 905976.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 y when four letters picked without replacement from {y: 6, a: 5, q: 4}?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121076*s**6 - 2*s**4 + 81553*s**2 + 2*s + 2 wrt s.\nAnswer: 14529120*s**3 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbbbxlxbxbxlll. Give prob of picking 4 x.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**3*i)\/i*i*i**7 assuming i is positive.\nAnswer: i**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 17*k**3 + 46*k**3 + 14*k**3 - 31*k**3 - 4*k.\nAnswer: 46*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2 - (476\/(-595) - 706\/(-20)). Put 4, -2, -4, r, -1 in ascending order.\nAnswer: r, -4, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 40. Suppose j = -10 + 29. Let l(p) = 3*p - 64. Let n be l(j). Is f at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 2284451?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316660*n + 105550*n + 105558*n - 25*n**2 + 105552*n.\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -300*m - 268. What is y(-1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5+-24\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.3125 to 0 decimal places.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -401, 4, -1 in decreasing order.\nAnswer: 4, -1, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (178 - -23) + -209 + (-14 - (-2 + 2)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51057 and 3348.\nAnswer: 204228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 2:46 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3608.4 and -0.3.\nAnswer: -3608.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 + 0 + 0 + d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/66)\/(168\/33 - 5). Suppose -14 = -t + 3*n, 4*t - 2*n = 3*n + 28. Solve f*z = -t*z - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**3\/6 + 5*i**2\/2 - 83*i - 71. Let x(v) be the first derivative of o(v). Determine x(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2090, 1, 4.\nAnswer: -2090, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/((-2)\/(-8)). Suppose 2*n - 2*v + z = 20, 4*n = -5*v + 45. Calculate the highest common divisor of n and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/12)\/(-5*(-30)\/100).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 2)*(1 - 1 - 1) + 1 + 0 - 3 + 1 - 16 - 4)*(3*a - 4*a + 0*a).\nAnswer: 19*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 98\/3. Let r = 108 - 53. Let s = 52 - r. Which is the second smallest value? (a) f (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*-38.\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 24*b**2 + 27*b.\nAnswer: -3*b*(b - 1)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g*g**15*g)\/g)\/g)\/(g**(-4)\/g))\/(g**(3\/7)*g**(-3)) assuming g is positive.\nAnswer: g**(165\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 662*p**3 + 56*p + 3?\nAnswer: 3972*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 461, -8, -554, -4, 5 in ascending order.\nAnswer: -554, -8, -4, -2, 0, 5, 461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -787689, -1575379, -2363069, -3150759, -3938449, -4726139?\nAnswer: -5513829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 14289?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 3*r + 2\/3*r**3 + 1\/12*r**4 + 0 - 1\/2*r**2. Determine k(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(10)\/(sqrt(2) + sqrt(2)*-2) + -4.\nAnswer: -9 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 2096*v**7\/7 - v**5\/5 - 9*v**3 + 41*v - 8460. What is the third derivative of b(x) wrt x?\nAnswer: 251520*x**3 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(468) + 0 - sqrt(468) - (sqrt(468) + 1*sqrt(468))*-6) + 2 - (sqrt(468) + (sqrt(468) - (-1 + sqrt(468))) + 4)*6*5)**2.\nAnswer: 31752*sqrt(13) + 173241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 538412 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**2\/3 + 337138384*a\/3 - 337138388\/3 = 0 for a.\nAnswer: -84284597, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, g: 3, e: 1, z: 4, m: 2}. Give prob of sequence zg.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 6*h**2 - 12*h - 33. Let b be q(-7). Suppose 1 = -4*x + 5*y, -b*x = -4*y + 7*y - 27. Solve -x*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = i - b, -4*i + 16 = -0*b + 4*b. Suppose -c - 15 = -2*p + 2*c, -27 = -5*p + 4*c. Solve p*k**3 + 4*k**3 - i*k**3 + 4*k**2 + k**3 + 2*k = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aabkadklakbbbka. What is prob of sequence bld?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**5\/7 - 639*d**4\/7 - 52650*d**3\/7 - 2077650*d**2\/7 - 38545875*d\/7 - 36905625 = 0.\nAnswer: -63, -45, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/27 or -1?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 2*x**2 - 5*x - 15. Let g be m(-5). Let n = 8 - 6. Suppose 0 = -3*l + n*z + z + 300, -l - 4*z = -g. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**2 + 34*n**2 + 268*n**2 + 94*n**2.\nAnswer: 404*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/20)\/(2\/(1*-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*((-2)\/(-7))\/((-86)\/(-677551)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -550940580686 - -0.2\nAnswer: -550940580685.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1151*i**2*p - 171*p + 18 with respect to i.\nAnswer: 2302*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**4 + 48*l**3 + 60*l**2 - 104*l = 0.\nAnswer: -2, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 6*y**2 - y**2)*(-y - y - 5*y) - 5 + 5 + y**3.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 147 + 3 = 0. Let v = m + -50. Let z be (-105)\/v - (-6)\/8. Solve 4*y + 2 = -z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43693 is divided by 4297?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31770 is divided by 2439?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - -371.1. Let w = r + -503. Round w to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8306*r**3*y**2 + 3061*r**3*y + 2*r**2*y**2 - 236*r**2*y + 2*r - 6955 wrt r.\nAnswer: -49836*y**2 + 18366*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82944 = 18*d - 284*d + 74*d. Solve 0 = 47*b + 7*b + d for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.336 to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70899509\/258 - -274805. Let y = -3\/86 + w. Is y at most -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -13*n**2 + 36*n + 78. Let x(u) = 6*u**2 - 18*u - 39. Let v(w) = 4*o(w) + 9*x(w). Let k be v(20). Let s = k - 276. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 + 18 - (-1 - 0)) + -27 + 39?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17170296 to the nearest integer?\nAnswer: 4144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -7*i - 12. Let o(m) = -m**2 + 2. Let u(y) = y + 1. Let z be u(-3). Let j be o(z). Put i, 0, j in ascending order.\nAnswer: j, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330.830947 rounded to 1 decimal place?\nAnswer: 330.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 315, 750, 1327, 2046?\nAnswer: 2907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/12 or 1?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 3)*2\/10. Let z be (-1 - -12)*-1*2. Let i be (6\/15)\/(z\/10). Put i, m, -2 in increasing order.\nAnswer: -2, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 + x**4 - 2*x**4 + (-25*x**2 + 52*x**2 - 25*x**2)*(-18*x + 18*x + 2*x**2).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - 185. Let c = y + 204. Solve 6*k - 3*k = -c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508234503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 609c10 (base 13) in base 11?\nAnswer: 12a7156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -15\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w = -29*w - 56*w + 276. Let 2*j + 0 + 4*j**2 - 2*j**5 - 27\/2*j**3 + 19\/2*j**w = 0. Calculate j.\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7041232?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxxptppppbxb. Give prob of picking 1 p and 1 x.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403016, 402982, 402878, 402668, 402316?\nAnswer: 401786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233 (base 9) to base 13.\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**28\/k**(1\/9) assuming k is positive.\nAnswer: k**(251\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9364 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/(1449\/(-140)))\/((-6)\/27).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - w + 1. Let z be m(3). Let h = z - 4. Find the second derivative of -4*v - 2*v + v - 3*v**h + 3*v wrt v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i + 3182 = 79*i. Let g be (2 - 72) + (-2 - -3). Let b = i + g. Calculate the highest common factor of 20 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1995376?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/9 + -1\/63. What is the nearest to d in -3, -1\/7, 0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1118690238?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 0, 0.1, -2\/17, 140, -8, 1\/7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/2, -2305, 2, 1\/4, -0.1, -798?\nAnswer: -2305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41280?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493024?\nAnswer: 2, 7, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -99*p + 96*p - 23 - 12 + 31*p. Let i = 58 - 23. Let t(d) = d - 1. Let s(w) = i*t(w) - k(w). Let r(y) = 2*y**2. Give s(r(l)).\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34989?\nAnswer: 3, 107, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.1. Let h = 5 - a. Let j = 625.9 + -626. What is the closest to 2 in -0.3, h, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(1 - -4 - 3) - 2. Solve 2*c = -y + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2) + -1 + 1. Let c = 298\/759 - 2\/69. Which is bigger: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(8\/3)\/(a*a*(a*(a*a**(1\/10))\/a)\/a*a) assuming a is positive.\nAnswer: a**(-13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -479254591 greater than -479254592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 199.7 * 4.\nAnswer: 798.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120630304?\nAnswer: 2, 103, 36599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-28)\/42)\/((-2)\/3). Let n(u) = 17 - 56 + 8 - u**2 + 17 + 15. Let j(b) = -21*b**2 + 14. Determine r*j(m) - 14*n(m).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -366. Suppose 4*i = -5*d + z, 3*i + 5*d + 33 = 275. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19334 - 0.334915321?\nAnswer: -19334.334915321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*d**4 + 2*c*d**3 + 3*c*d - 58*d**5 + 21*d wrt d.\nAnswer: 24*c*d**2 + 12*c*d - 1160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*d - 8*d - 156*d**2 - 17*d as a + k*d + h*d**2 and give h.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4 = -m. Suppose -3*h + 21 = -0*h + 4*u, 12 = 2*h + 2*u. Let w = -0.75 + 0.25. Which is the closest to 2\/3? (a) m (b) h (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 11*v - 9. Let t = -16 - -30. Let z be s(t). Calculate the common denominator of ((-42)\/(-12))\/(z\/(-12)) and 39.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.9 - -72.1. Let j = -69 + q. Which is the second biggest value? (a) -0.5 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7444 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6 + -1)*(-54)\/(-24).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12461 times 1\nAnswer: -12461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2 + 105*z + 3 - 104*z. Let l be a(-1). Factor 33*d - l + 1 + 22*d - 7 - 25*d**2.\nAnswer: -5*(d - 2)*(5*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 654750 and 72.\nAnswer: 2619000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/138 and -103\/468?\nAnswer: 10764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 165\/60 + 2\/(-8)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/107645 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**3\/3 + 5*y**2\/2 + 166*y. Let m(w) = -w**2 + 7*w - 15. Give 2*m(t) + 7*v(t).\nAnswer: -2*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*m + 3 = 0, -133*d = -132*d - 3*m - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/2 and (10395\/100)\/(-11) + 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2\/5 + 2851*l\/5 + 17142\/5 = 0. Calculate l.\nAnswer: -6, 2857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72737686.\nAnswer: 2, 7, 5195549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5 - 113*g**4 + 5*g**3 + 68605*g**2 - 68044*g - 136532 = 0. Calculate g.\nAnswer: -107, -29, -1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**2 - 15*p - 4. Let z(n) = -7*n**2 + 15*n + 5. What is -3*l(r) - 2*z(r)?\nAnswer: -4*r**2 + 15*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4907\/45 - 109. What is the common denominator of -73\/432 and m?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30046593 and 98870?\nAnswer: 300465930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1323 divided by -189.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1658813093?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1\/11, 1.2, -0.11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13994?\nAnswer: 2, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(110) - -1*sqrt(110)))\/((sqrt(300)\/sqrt(5))\/sqrt(6)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 6*p**2 - 45*p**3 + 3*p**2.\nAnswer: -45*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c + 338 = 148 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) 0.5 (c) 3 (d) -1\/592 (e) 0.1 (f) 37\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312 - 336 = 10*w - 2*g, 5*g + 364 = -6*w for w.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.69*68.84\nAnswer: -47.4996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 23 + (-3 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 13 = y, -10 = 4*y + 3*i - i. Let w be (y - 38\/(-18)) + 24\/36. Factor 8\/9*c + 0 - w*c**2 + 10\/9*c**3 - 2\/9*c**4.\nAnswer: -2*c*(c - 2)**2*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3271 - -3283. Let l(b) = -2*b - 2. Let z be l(-2). Solve 7*a = 2*a + 3*y + 8, -z*a - y = -t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.76 in 0.2, -1, -1\/47?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + o + o + 0 - o + 0 + (0*o - o + 2*o)*(2 + 1 - 1) + o - 2 + 2 - 13*o - 9*o - 9*o)*(2 - 2 - 1) in the form x*o + p and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(130) + sqrt(130)))\/((-3*sqrt(70))\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 108077515 to the power of 1\/2, to the nearest integer?\nAnswer: 10396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16.78048 litres?\nAnswer: 16780.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, 67, 270, 583, 1006, 1539?\nAnswer: 2182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u - 6*u**2 + 12 + 7*u**2 - 2*u - 13*u. Let p be f(11). Let j(s) = -17*s. Calculate j(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3040553*p**3 + 2600776*p.\nAnswer: 18243318*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/28518 and -103\/674926?\nAnswer: 2024778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128 - 124. Find r, given that 64*r**5 - 23*r**4 - 6*r**q - 65*r**2 + 10*r + 16*r**5 + 45*r**3 + 229*r**4 = 0.\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17)\/(-4) - (-9)\/12. Is 2 a factor of -1 + (i + 1 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -1 - (84 + -93).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 2*u**2 + u**2)*(0 + 6 - 4)*(-u - 201 + 201).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134859?\nAnswer: 3, 44953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8\/27 + -2\/189. Which is the closest to 1? (a) -1\/4 (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23\/3 (b) -0.2 (c) 0.7 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*-6*sqrt(112))**2 + (sqrt(1512)*2 - sqrt(42) - sqrt(42))\/(-3*(sqrt(12)\/sqrt(2) + sqrt(6))).\nAnswer: -5*sqrt(7)\/3 + 145151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 34908959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 140 = -456. What is i rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/421 (b) 8 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**5 + 5*p**4 + 4299*p**3 + 1747106*p**2.\nAnswer: 120*p**2 + 120*p + 25794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 518 and 519 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 8 - (2 + 1 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 105 + 255. Calculate the greatest common divisor of 24 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 310, -30410 in ascending order.\nAnswer: -30410, -2\/9, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u + 2*x = 75, -2078 + 2063 = -3*x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68406*f**3*z**3 - 2*f**3*z + 3*f**3 - 46*f**2*z**3 - 1500*f**2 - f*z**3 + 2*z**3 + 2 wrt f.\nAnswer: -410436*z**3 - 12*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 + -1c5?\nAnswer: -20c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, -16, 2, -1099, -1 in increasing order.\nAnswer: -1099, -16, -7, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/19)*z**(3\/4) assuming z is positive.\nAnswer: z**(49\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.01 and -65.\nAnswer: -59.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 1884 - 1884 - c. Let i(s) = -5*s**2 + 3*s. Give y(i(d)).\nAnswer: 5*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2786 + -1218. Let b = 2729 - f. What is the greatest common divisor of 27 and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bazkciakzkki. Give prob of picking 2 z and 1 i.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 11*h**3\/6 + 3*h**2 - 6*h. Differentiate w(k) wrt k.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1846 (b) 0.1 (c) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1404 - -11. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 20 = 6. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(-19*18\/(-342))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 118902641 divided by 9119?\nAnswer: 13039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001000110 + -1000011?\nAnswer: 10000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1106 at least as big as -1105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v - 4 = -25*v. Suppose 0 = 4*o + 8, 4*y + 8 = 8*y - v*o. Suppose 4*q - 3 - 9 = y. Solve q*a - 1 + 7 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 112746276 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43702410 rounded to the nearest 1000000?\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/4 and -69\/34.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -13*f - 25. Let m(y) = 4*y + 8. Suppose 5*k - 45 = 2*a, 5*k = 64*a - 68*a + 15. Calculate k*m(z) + 2*o(z).\nAnswer: 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3324619953?\nAnswer: 3, 369402217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 12:14 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12 - ((3 - -1) + -3). Let y be -2 + (-2 - 56\/u). Are y and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 5:08 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8)*p*p**(-2))**(-10\/3) assuming p is positive.\nAnswer: p**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4 - 18*c**3 + 56*c**2 - 72*c + 32 = 0. Calculate c.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a + 4*b - 61, -4*b = -a + 15. What is the greatest common factor of a and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/30)\/((-8)\/(-6)). Let x(k) be the first derivative of -y*k**4 + 3 + 0*k - k**3 + 0*k**2. What is the third derivative of x(j) wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 7*f + 20)*(2*f**4 - f**4 - 3*f**4)*(1 + 1 + 0).\nAnswer: 28*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/196 and -57\/728.\nAnswer: 5096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112071168 divided by 141504.\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/74 - -2\/1221. Find the common denominator of 2*(174\/(-56) - -2) and c.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p**(1\/8)\/p*p)\/(p**(9\/5)*p)*(p**(1\/2))**(2\/37) assuming p is positive.\nAnswer: p**(521\/1480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c + 3 - 3 + (0*c + 2*c + 0*c)*(4 + 1 - 3) + 10*c - 5*c - 11*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -163623220 (base 7) to base 11.\nAnswer: -633702a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*p - 2*y, -p + y + 27 = 2*p. Let z = 17 - 9. Suppose 3*d = -t + z, -3*d + p = -2*d - 5*t. Calculate the smallest common multiple of d and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, d: 2, n: 1, s: 1}. Give prob of sequence sus.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -393*j**3*t**2 - 9*j**3*t + 11*j**2*t**2 + j*t**2 + 845*j*t wrt t?\nAnswer: -786*j**3 + 22*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b20 - a1a?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1726*r - 48342. What is w(-28)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -8*k**5\/5 + k**4 + 32*k**3\/3 - 8*k**2 - 10. Factor x(d).\nAnswer: -4*d*(d - 2)*(d + 2)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 14, d: 5}. Give prob of sequence kd.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19598 (base 11) to base 12.\nAnswer: 13998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0443079 and -0.2.\nAnswer: -0.00886158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 - 204\/60. Which is the second smallest value? (a) 2\/3 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Let a be ((-1)\/b)\/((-1)\/4). Put 4, -2, a in descending order.\nAnswer: 4, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 112239431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 45 + 45. What is the second biggest value in 7.4, -5\/6, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/23 (b) -1 (c) 4 (d) -33\/86 (e) 30.3 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2096377972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r**2. Let c(u) be the third derivative of -9*u**4\/8 - 6*u**2 - 53. Calculate c(g(w)).\nAnswer: 243*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9\/5, 38, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138 by 46.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -884961189 by 126423027.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500*o = -497*o - 783. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 0.042 (c) 82.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -122.346?\nAnswer: -122.346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 657810 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229030.\nAnswer: 2, 5, 37, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.53 and 17.8.\nAnswer: -45.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -219890, -439768, -659650, -879536, -1099426, -1319320, -1539218?\n\"Answer: -2*j**2 - 219872*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (49\/(-10) + (-8)\/(-20))\/3. What is the closest to -5 in -4, k, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 25*c - 3. Let r be ((-6)\/(-8))\/((-4)\/(-16)). Let m be a(r). Let q be m\/7 + 6\/(-21). Which is smaller: q or 11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 645628\/170*(-60)\/(-32). Let f = s - 7122. Calculate the common denominator of f and 34\/9.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1278 and 19880?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in -1\/2, 5, -11738?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 26, 90\/11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 2*m + m + (-21 + 15 + 27)*(2*m - 5*m + 4*m) to the form o + s*m and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*b + 17 + 933 = 82*b. Solve y - 17 = -4*p, b*p - 11 = 3*y + 23 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -3.4113 in increasing order.\nAnswer: -3.4113, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16757*m**2*w**2 + 2062*m**2*w + 12*m*w - m - 2*w**3 + 2 wrt w.\nAnswer: 33514*m**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1100) + -4*(-1 + sqrt(1100)) + sqrt(1100) + sqrt(1100) - (1 + sqrt(1100))*4))**2.\nAnswer: 100*sqrt(11) + 27501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*((-49)\/(-84))\/7.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**5\/4 + 5*a**4\/3 + 25*a**3\/6 + 5*a**2 + 37*a. Factor g(o).\nAnswer: 5*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135475687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.6 and -5170440945.\nAnswer: -5170440945.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8211, 8231, 8255, 8283, 8315, 8351?\nAnswer: 8391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*p = 9 - 519 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 2 + l)*(2 - 2 + 1) + 0*l + 0*l + l)*(87676*l**2 - 42513*l**2 - 42272*l**2) to the form q + h*l**3 + s*l + d*l**2 and give h.\nAnswer: 5782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1975699 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 3*l + 28, -h + 3 = 3*l + 11. Put -1, h, 3 in descending order.\nAnswer: 3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3281 - 3386. Suppose 0 = 2*u + 2*v - 440, 2*u = -3*u + v + 1106. Let z = u + f. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 19*a - 149. Give l(0).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a - 14. What is the units digit of u(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1899 - -4360. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 0*g + 2*g)*(186 - 186 + 7*g**3) + g**2 + 2*g**4 - g**2 + (-4 + g + 4)*(5 - 5 - g**3) in the form q*g**3 + w*g**4 + f + a*g + c*g**2 and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 410 + -412. Let r = -3.13 - -2.13. What is the biggest value in v, r, 3\/23, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 17*z**4 + 5*z**2 + 5*z + 5. Let h(m) = 16*m**4 + 4*m**2 + 6*m + 6. Let w(l) = -6*d(l) + 5*h(l). Find the third derivative of w(b) wrt b.\nAnswer: -528*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -190. Let y = d + -107. Suppose -2*x = 2*s - y, -4 + 0 = 2*s. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 709*t - 412*t + 306*t**3 - 282*t + 1 + 0 to the form d*t**2 + m*t**3 + z + p*t and give m.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, -5.19, 2, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -15*k + 4. Let a(t) = 12*t - 3. Let i(s) = -4*a(s) - 3*w(s). Let h(j) = -91*j**2. What is h(i(v))?\nAnswer: -819*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -2 + -9 - (4 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 385*u**2 - 1536*u - 16. Calculate h(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(12\/4)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*r + 11, t - 3*r - 17 + 7 = 0. Let p(z) = 8*z - 5. Let h(w) = 9*w - 6. What is t*p(o) - 6*h(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**7\/126 + j**5\/15 + j**4\/18 - j**3\/6 - j**2\/3 - 101*j. Suppose z(d) = 0. Calculate d.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 8:31 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 130*a**4 - 36762*a**3 - a**2 - 495413*a - 24 wrt a.\nAnswer: 1560*a**2 - 220572*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000932 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvwwwwwwwwvww. Give prob of sequence vv.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -1337?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f**5 - f**5 - 2*f**5 + (3*f**3 - 13*f**2 + 13*f**2)*(2*f**2 + 4*f - 4*f) + f**5 + 3*f**4 - 3*f**4.\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*z + 2273 = 0, 11*b - 8*b + 3*z = 3432. Let x = -1148 + b. Let q = 9 + -2. What is the least common multiple of x and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 79 (b) 5 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -7. Let u(m) = -m**3 - 4*m**2 + 5. Let t be u(-4). Let o(n) = n**3 - 5*n**2 - 3*n + 8. Let s be o(t). Are g and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1535 + -1533. Let t(s) = s + 1. Let i(j) = -j. Let a(x) = 3*i(x) + 2*t(x). Let y(u) = -u + 1. Determine f*a(v) - 4*y(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a - 2*a + 2*a)*(1 - 2 + 2 - 3 - 2 + 3 + (-2 - 1 + 1)*(3 + 2 - 3) + 5 - 3 - 1 - 328 - 505 + 297) to q + f*a and give f.\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (1 - -5) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -3*k + 4*x, 2*k + 2*x = 3*x + 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -10. Let m be 0\/(4\/1 + b). Suppose v + 3*v - 44 = m. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6002051548 to the nearest integer?\nAnswer: 77473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**6\/60 + n**5\/20 + n**4\/24 + 1395*n**3 - 2*n**2 + 1683*n - 1. Differentiate x(v) wrt v.\nAnswer: 6*v**2 + 6*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/210*6)\/((-36)\/(-10))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5501 or 5497?\nAnswer: 5497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/2928 and 131\/6.\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/26, 111, -8.8?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1237662 is divided by 15866.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 6*u**2 - 7*u - 10. Let z be s(7). Find the common denominator of 285\/(-96)*(-12)\/z and (214\/100)\/((-816)\/2040).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2172\/7*i**3 - 1922\/7*i + 0 + 3968\/7*i**2 - 2\/7*i**5 + 128\/7*i**4 = 0. What is i?\nAnswer: 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -37836788, -37836797, -37836812, -37836833, -37836860, -37836893, -37836932?\n\"Answer: -3*y**2 - 37836785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16189 + -8280. What are the prime factors of b?\nAnswer: 11, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4233*k - 40. Is 93 a factor of m(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*c = -78*c - 30 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 691631150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zotzzzztztttztz. What is prob of picking 1 t and 3 z?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -36. What is the units digit of (6\/3*y)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.26 - 10.26. Let d = v - -9.8. Let q be -1 + (14\/6 - 2). Is d smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13544893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*w, -430*a = -433*a + 2*w - 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3 - 3)*(0 - 2 - 2).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*r + 2*f, 0 = 3*r - 4*f + 11 + 9. Suppose r = 37*x - 55*x + 29952. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -2.18, 4\/5, 0.03, 1\/4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y + 6 = 72. Which is the nearest to 0.2? (a) y (b) -26 (c) -43 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 53226518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1992 - 1984. Which is the smallest value? (a) j (b) -0.3 (c) -2\/11 (d) -0.5 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-570)\/140)\/19)\/(36\/(-14)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 136 + (1 + 2 + 1 - 7). Suppose 49 = 12*n + t. Let r = n - -232. What is the greatest common divisor of 25 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 - 2*o - 65. Let v be d(-6). Let h be v + (-56)\/8 - -6. What is the greatest common factor of h and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9102453 * 1.27.\nAnswer: -11560115.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3969 + 2089 = 93*d + 3656 + 5066 for d.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100042*a**2 - 82 + 874702*a**2 + 82.\nAnswer: 774660*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 23*g**2 - 363*g**5 + 283*g**3 + 47*g**2 + 401*g**3 + 127*g**2 + 330*g**4 + 19*g**2 = 0. Calculate g.\nAnswer: -6\/11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 720 - 660.1. Let s = -60 + i. What is the nearest to 2\/3 in -2, s, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101 + -110110111?\nAnswer: -111101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 10.24. Let r = 0.042 + o. Let q = r - -0.098. Which is the closest to q? (a) 6 (b) -0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {f: 4, c: 1, k: 8, a: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/280 and -29\/44656920.\nAnswer: 44656920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjb when three letters picked without replacement from {b: 3, j: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8138 = 23*o - 8092 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 5*v - 4. Let c be w(3). Suppose 252288 + 3712 = c*k. What is k rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1980)\/(-160) - (-3)\/(-8)) + -40 + 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -443 - (-651 - -224) - (-1 + -3 + (-1 - 0))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472757559.\nAnswer: 3, 157585853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 15*h - 25. Let v(o) = 11*o - 28. Let d(g) = -3*v(g) + 2*y(g). What is d(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 1.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -1\/120*b**6 + 1\/2*b**3 + 0*b + 0 - 7\/24*b**4 - 7*b**2 - 3\/20*b**5. Suppose 15 = -i + 7. Calculate z(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200117766?\nAnswer: 2, 3, 19, 1091, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 195405311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.07, 0.5, 0.09, -39?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/14 (b) -16 (c) 0.1 (d) 365 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1641\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**3 + 84 - j**3 + 6*j**3 - 177*j**2 + 172*j**2 - 33*j. Let k be m(8). Let z = -7 - -15. Which is smaller: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4851\/5 - 3502\/5. Let k = 12221\/45 - o. Is k not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 727 - 698 = 0. What is the units digit of j\/(-10) + 1\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.2, 13, 2\/15, 2, 58?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 5*y + 15 = 0, -y = 46*p - 41*p - 32 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28837 is divided by 1021?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01 - -0.06. Let y = j + 0.23. Let g be (-6 + 30\/5)\/(-4). Put 0.5, y, g in decreasing order.\nAnswer: 0.5, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000010694 to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2095 is divided by 491?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7361 and 26846?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/18 and -73\/105?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38a07e (base 16) in base 8?\nAnswer: 16120176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*h**2 - 28*h**2 - 6*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 963*n - 974*n + 187 = 0 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -8*f. Let n(b) be the second derivative of b**6\/360 + 3*b**3 + 8*b. Let j(q) be the second derivative of n(q). Calculate j(r(c)).\nAnswer: 64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -357.3 - -357. What is the third biggest value in v, 1.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/7 - 57*b**2\/7 - 15*b - 51\/7.\nAnswer: -3*(b + 1)**2*(b + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m - m - 5*m + 2*m. Let f(r) be the first derivative of -16*r - 22 + 3\/2*r**2. Calculate f(y(k)).\nAnswer: 3*k - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -388344 divided by -132.\nAnswer: 2942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/(-5)*(-15)\/3. Let v be ((-11)\/3)\/((-17)\/816). Calculate the highest common divisor of y and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 729 = 2*c + z, c - 4*z - 371 = 0. Suppose 0 = 6*g - 77 - c. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 154, -2\/7, -0.23 in increasing order.\nAnswer: -2\/7, -0.23, 3, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 334335726 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**4 - 29*d**4 + 11*d**4 + 2 + (4*d - 2*d - 6*d)*(2*d**3 + 0*d**3 - 4*d**3) to the form r*d**4 + h*d**3 + n*d + m*d**2 + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 74 in -0.08, 4, 0.08?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -73364 divided by -18341\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.39949 millennia in centuries?\nAnswer: 43.9949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/11 + 56740*x**3\/11 - 3696686*x**2\/11 - 351536*x + 682440 = 0 for x.\nAnswer: -28435, -2, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 2*t - 1. Let b(s) = -36*s**2 + 24*s - 9. Calculate b(x) - 9*j(x).\nAnswer: -27*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136\/9 + 140\/9. Suppose 4*w = 6*w - 32. Suppose -8 = 2*o + b, o + 4*b = -3*o - w. What is the biggest value in -5, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from {r: 1, l: 3, d: 1, k: 1, t: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -1 + 2 - 2 + k. Suppose -3*n = 4*c - 586, -2*n - 4*c + 245 + 143 = 0. Let s(r) = -n + 2*r + 4*r + 192. Give 34*q(y) - 6*s(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -2 (c) 54 (d) 2\/41549\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - 4*l**3 - 5*l**4 + 26*l**4 - 2*l**4 + 2*l**4 - l**4 + (-l**2 - 1 + 1)*(2*l - 2*l + l**2) + 0*l**4 + l**4 - 2*l**4 + 7*l**3 - 7*l**3 - 10*l**4.\nAnswer: 8*l**4 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -1 - (4 + 4 + -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*k = 361 + 2, 0 = 4*x + 3*k - 365. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + 5*d**3 - d + (-10*d**2 + 3*d**2 - 10*d**2)*(4 + d - 4) + (-2*d + 0*d + 0*d)*(-3 + 3 - 2*d**2) + d**3 - 2*d + 2*d.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*n = -187*n + 16, s = 3*n + 507171. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.072 * -14.\nAnswer: -1.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 410, 797, 1186, 1577, 1970, 2365?\n\"Answer: q**2 + 384*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 12:25 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 90, 195, 342?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from {c: 2, l: 1, v: 2, y: 2, b: 4, d: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 13 = i, -v = -5*i + v + 20. Suppose -i*b + 6*b = 5*r + 9, 0 = 2*r + 3*b - 1. Is 1\/5 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 853.1896 + -853. Let n = 0.3035 - t. What is n rounded to three decimal places?\nAnswer: 0.114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - ((-72)\/54 + 2)*18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**6\/40 - 9*k**5\/80 + k**4\/16 + 3*k**3\/8 - 3*k**2\/4 - 3*k. Solve u(i) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -15*r + 398. Let d be p(17). What is d rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -265*d + 117. Let i be l(2). Suppose -4*t + 2724 - 328 = -4*w, -3*w = -12. Let f = i + t. What is the greatest common divisor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 520221 divided by -3.\nAnswer: -173407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 29*u - 2 + 14 - 15*u - 4 - 2. Let i(m) be the second derivative of 13*m**3\/6 + 3*m**2 - m. Let g(y) = -6*i(y) + 7*q(y). Differentiate g(l) wrt l.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44840170.\nAnswer: 2, 5, 1153, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 - 0.01. Let g = -0.05 - i. Which is the second smallest value? (a) -5 (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90 - 73. Suppose 9*s + 56 = c*s. Let q(j) = -2 - 10*j + 1 + 11*j + 0. Calculate q(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 341*k + 700879 - 700879 as t + x*k and give x.\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -120*j. Let i(w) = -129*w**2. Give v(i(h)).\nAnswer: 15480*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/21 of a week?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*n**2 + 6*n**2 + 0*n - 10*n**3 + 0*n wrt n.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/(-48))\/(2\/18). Let l be ((-54)\/z)\/((-1)\/(-1)). Calculate the greatest common factor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -33*x**3 - 5*x**2 - 5*x - 5. Let t(i) = 280*i**3 + 42*i**2 + 42*i + 42. Suppose -2*p - 28 = -12*p + 22. Determine p*t(y) + 42*j(y).\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 1 + 3 - 1)*(-5*g - 5 + 13 - 7).\nAnswer: 15*g**2 - 8*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*h + 26 = 0, 3*m + 2*h - 5*h = 24. Suppose -p - 5*w - m = -0*w, -4*p = 3*w - 10. Suppose -r - 9 = -p*r. Solve 4*d - 5*d - r = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -5, 0.59?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 33\/(-567)*17. Let c = g - -326\/189. Solve -2\/7*x**4 + 0 - 10\/7*x**3 + 0*x + 4\/7*x**2 + c*x**5 = 0 for x.\nAnswer: -1, 0, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 2)*(-3*r + 3*r - 2*r**2) - 102*r**2 - 79*r**2 + 135*r**2.\nAnswer: -52*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/15)\/g)\/(g*g*g\/(g*g\/(g*g**1))))**20 assuming g is positive.\nAnswer: g**(-232\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.135 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + 3*sqrt(180) + 3)*-3*5)**2*5.\nAnswer: 648000*sqrt(5) + 7362000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**3)**(-44\/5)\/(((f**0\/f)\/f)\/f*f\/f**10))**(-20\/11))**(1\/11) assuming f is positive.\nAnswer: f**(288\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51*x - 18*x + 21*x)*(89 + 127 - 16) to the form a*x + w and give a.\nAnswer: -9600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l*x**3*y**2 + 12*l*x**2*y**2 - 2*l*x*y - 2*l*y**4 + 422*x**3*y**3 - 3*x**3*y**2 + y**5 wrt y?\nAnswer: -48*l*y + 2532*x**3 + 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -211*b**2*l**4 - 3*b**2 - 163*b*l**2 + 7*l**4 wrt l?\nAnswer: -5064*b**2*l + 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 455879 and -5?\nAnswer: -2279395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 2. Let b be u(-4). Suppose -b*h - h + 12 = 0. Suppose 2*z = h*p + 22 + 4, -z + 5 = 2*p. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453123.6 days in seconds?\nAnswer: 39149879040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/10924 and 21\/10?\nAnswer: 54620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 11*r - 3. Let s(i) = 1113 + 1105 + 21*i - 2223. Give -10*a(g) + 6*s(g).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 + 1. Let d = 3 + -4. Let u = -0.8 - d. Sort u, h, -0.3.\nAnswer: -0.3, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-39))\/(35\/(-30))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -12, 13\/7, -0.3?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 540*z**3 + 23*z**3 + 8*z**3.\nAnswer: 571*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 4*d - 6*d. Let i = d - -70. Find the first derivative of -21*m**4 - i*m**4 + 2*m**4 + 215 - 177 wrt m.\nAnswer: -112*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 134 = -127. Suppose 10*i = 7*i + d. Solve y - 4*y = 4*k - i, 3*k - 4*y = 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334616530 to the power of 1\/2, to the nearest integer?\nAnswer: 18293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 + 86*k**2 + 3*k**3 - 192*k**2 - 411*k**2 to the form p + g*k**2 + v*k**3 + o*k and give g.\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 16*m. Let f(c) = 355*c**2 + 3*c - 1. What is y(f(x))?\nAnswer: 5680*x**2 + 48*x - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(1 + -9))\/(-1). Let l = -1 - 0. Let f = -0.13 - -0.33. Which is the closest to f? (a) l (b) m (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1887.\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**5\/21 + 50616*b**4\/7 + 2881923166*b**3\/21 - 11530274216*b**2\/21 - 960641056*b\/7 + 11530122368\/21 = 0?\nAnswer: -37964, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8622733 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 173151, 346305, 519459?\n\"Answer: 173154*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 3)*3\/3. Let g = m + 7. Solve 10 = 2*s - g*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**4 + 0*r**4 + 1417 - 1436 + r**3 + r**2 in the form t*r + g + s*r**2 + a*r**4 + n*r**3 and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i - 2. Let o be y(10). Suppose -2*u + 145 = 3*a + 33, -u = 4*a - 141. Let h = o + a. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1215 and -1\/4685.\nAnswer: 1138455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4778*v - 19088. Determine j(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, 1\/9, 2, 14, 0.06, -0.5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 771 + 430*l - 2*l**4 + 1089 + 446*l + 860*l wrt l.\nAnswer: -8*l**3 + 1736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -38878\/17961?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*i**5 - 2142*i**2*n**3 - 3*i**2*n**2 + 5*i*n**3 + 3*i*n + 10*i - 117*n**3 wrt i?\nAnswer: 140*i**3 - 4284*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 37 - 40 = 0, 4*o + 2*y - 12114 = 0. What are the prime factors of o?\nAnswer: 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + i + 4 = 3*i, 3*n + 3*i = 0. Suppose 2 = -l + n*t, 0 = 2*l + t - 5 - 6. Differentiate 8*v**l - v**4 - v**4 - 2*v**4 - 1 wrt v.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjuuutohjboob. Give prob of sequence bouh.\nAnswer: 9\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -338, -1, -133, 0, 1 in descending order.\nAnswer: 5, 1, 0, -1, -133, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**5*(u**(-2\/27)\/u*u*u)\/u*u**(8\/9)*u*u\/(u*u**(2\/13)))**(15\/7) assuming u is positive.\nAnswer: u**(13445\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - x**3 + 0 + (1 - 4 - 2)*(-15*x**3 - 180*x**3 - 15*x**3).\nAnswer: 1049*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.2, 24, 3\/5, -0.4 in increasing order.\nAnswer: -4, -0.4, -0.2, 3\/5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 + -149. Let z = 93 + l. Solve d + 7 = -5*c - 13, -c - z = 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7408 by -926.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + -209. Let m be q\/4 - (-4)\/8. Let d = -28 - m. Calculate the greatest common factor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i**2 - 42*i**2 + 4*i**2 - 61*i**2.\nAnswer: -115*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 1. Let j(c) = -12*c**2 + 99*c + 111. Let k(s) = -9*b(s) - j(s). Factor k(d).\nAnswer: 3*(d - 34)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3 - (-85078)\/4326?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -412 - -397. Let h(s) = -s**3 - 13*s**2 - 6*s - 47. Does 17 divide h(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -18?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 5*v + 119000, 4*a - 18243 = -5*v + 219757. What is a rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544640811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (840\/(-2240))\/(12\/(-2240))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 8. Let j(k) = -1. Determine c(m) - 5*j(m).\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 2*x - 2. Let z(j) = -j + 7. Let w be z(4). Let k(l) = 5*l**2 - 3*l**2 - 4 - 2*l + 1. Give w*p(o) - 2*k(o).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16370941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 41 + 43 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, z: 3, n: 6, k: 1, u: 1, g: 4}. Give prob of sequence ueg.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -7*t**3\/6 + 18*t**2 - 24*t. Let d be p(13). Let f = d - -68. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(300) - (1 + sqrt(300) - sqrt(300))) + 1 + 1*sqrt(300) + -2 + -3*((sqrt(300) - (sqrt(300) + 1)) + sqrt(300))*1) + 0)**2.\nAnswer: -720*sqrt(3) + 10836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 3*d - d + 14*d - 30 + 30 + (-4 + 2 + 0)*(1 + 2*d - 1))*(2*d**2 + d**2 - 2*d**2 + d**4).\nAnswer: 13*d**5 + 13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 + 4*b**4 - 7*b**4)*(-1 + 3 + 4*b + 0*b) + b**5 - 6*b**5 + 4*b**5 - 2*b**5 + b**5 - b**5 + (-3*b**4 + b**4 + 4*b**4)*(3 - b - 3).\nAnswer: -21*b**5 - 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 8:27 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 15 = 0, 4*k + k + 6 = -3*x. Suppose p + 5 = -2*p - 4*n, 10 = -x*p - 5*n. Let d = 8 - -6. Calculate the remainder when d is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 562623 or 562624?\nAnswer: 562624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 0*n**3 + 7 - 6*n - n**3 - 1 - 7*n**2. Let o be p(-6). Let u(c) = -9*c + 13*c - o*c. Let g(v) = -23*v. What is g(u(k))?\nAnswer: 46*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 13*w**6 + 589*w**3\/3 + 598. Find the third derivative of u(d) wrt d.\nAnswer: 4680*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127146595 to the nearest integer?\nAnswer: 11276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 758 and 244436429?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a factor of 6071167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 - (-6 - (-5 - -3) - (57 + -62)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yll when three letters picked without replacement from {y: 1, r: 5, l: 11}.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o - 3. Let g = 1 - 4. Let l(c) = 5*c - 10. Let a be l(3). Let f(b) = -4 - 4*b + a*b - 6*b. What is g*j(v) + 2*f(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -134*y**3 + 19*y**2 - 18*y - 37. What are the prime factors of d(-4)?\nAnswer: 5, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -28 + 36 + -21 - (6 - -1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31.3 + -1.3. Let u = -32.1 + w. Let g = 2 + u. Is 0.08 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1904252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11325 and 307275?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38451 divided by 3?\nAnswer: 12817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 60, 236, 520, 906, 1388, 1960, 2616?\n\"Answer: -f**3 + 60*f**2 + 3*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/3*(-285)\/(-10). Suppose -5*o - f = -3*r, 0 = -4*r + 4*o + 48. Suppose -r*x + 4 = -15*x. Is x > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 194563\nAnswer: -12\/194563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 7.3. Let i = -8 - -13. Suppose 2*g - 21 = i*p, g + 5 = 5*p + 28. Which is the closest to -1? (a) n (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2449 and -0.89.\nAnswer: -0.6451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 7:55 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 5:45 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*f + 310, 515 = -10*w + 5*w - 3*f. What is the biggest value in -0.5, w, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 13*q + 10. Let w be i(12). Put w, -5, 4, 3 in decreasing order.\nAnswer: 4, 3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 18 = -2*i, 3*y + 24 = -5*i + 5. Let n be (53 + -57)*y\/20*-1. Let n*u - 4\/5*u**2 + 4\/5 - 2\/5*u**3 = 0. Calculate u.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -7*l**4 + 21*l**3 - 6*l + 31. Let m(q) = -2*q**4 + 7*q**3 - 2*q + 11. Let a(f) = 8*m(f) - 3*y(f). What is the second derivative of a(z) wrt z?\nAnswer: 60*z**2 - 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1708 divided by -648377\nAnswer: 1708\/648377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16435\/672 + 107\/96. Suppose 44*d - 234 = 53*d. Let k = d + r. Which is the third biggest value? (a) -4 (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**2\/2 - 8*s + 172. Let q(p) = -p - 7. Let y = -13 - -19. What is y*q(l) - 5*f(l)?\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3157080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 208258 + -3527. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t**2 + 3*t - 1. Let k be u(3). Let a be 3\/(9\/12) + k. Let w(s) = 4*s - 12. Let g be w(6). What is the greatest common factor of a and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + -76)\/3 - (2 + -2). Let y = i - -26. Suppose 4*n = -2*v + 52, 42 = y*n - 4*v + v. What is the remainder when n is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.026.\nAnswer: -0.0104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5408309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*z + 7*z - 4 = 0, 0 = -3*d + 5*z - 14. Suppose 2*y = 3*o - 8, -d*o + 4 = -3*y + y. What is the first derivative of y*v + 3*v - 3*v + 1 wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 - 11*q - 7*q + 15 + 5 with respect to q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*k**2*z**3 + 32*k**2*z**2 - k**2*z - 4*k + z**3 wrt z.\nAnswer: 372*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, j: 2, u: 2}. Give prob of sequence uj.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52818, 53191, 53620, 54105, 54646?\nAnswer: 55243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9040234 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((33\/(-30))\/11)\/((-6)\/10)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 57. Calculate z(27).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*b - 4*u + 13, -3*b - 3*u = -15. Suppose 0*v = b*v - 12. Solve 16 = -v*q + 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -3)*(1 - (4 - 2)). Solve 5*u = -z - 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((256\/16)\/48)\/(4\/(4\/(-2)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 3*g**2 + g**2 - 4*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 340670 to the power of 1\/2, to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3890 from -6204.\nAnswer: -10094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 154 + 89 = 3*d, u - 349 = -4*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2810.2, 1, -3.6.\nAnswer: -2810.2, -3.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22385, 89540, 201469, 358178, 559673?\n\"Answer: q**3 + 22381*q**2 + 5*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*u - u**2 + 64*u - 168*u + 52*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + sqrt(147)*-4 - sqrt(27)\/(sqrt(36)\/(sqrt(4) - sqrt(324)))).\nAnswer: -20 + 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0148 + 0.01. What is b rounded to 4 decimal places?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -2)\/((-2)\/(-14)). Suppose 700*b + 168 = 704*b. Calculate the highest common factor of b and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 5*i - 29. Calculate j(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -10*r**2 + 4*r + 1. Let i(t) = 12561 + 5*t + 0*t - 12560 - 9*t**2. Determine 4*i(f) - 5*y(f).\nAnswer: 14*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 55*l + 55. Let q(j) = 11*j + 10. Let b(x) = -2*o(x) + 11*q(x). Let t(a) = 4*a. Determine b(t(g)).\nAnswer: 44*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (944\/(-180)*3)\/(256\/(-192))*5?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 - -0.3. Let v be 2\/8 - (0 + 38\/(-8)). Which is the biggest value? (a) -1\/4 (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1756 + (4 - 12 - -4). What is the greatest common factor of k and 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37883941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6*h = 2. Let r be (-1 - 0) + 4 + h. Let q = 6 + r. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/12 + -1 + 4\/(-6))*20.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 248 by -89.\nAnswer: -248\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z + 2. Let q(k) be the first derivative of -k**2\/2 + k + 712. Calculate -3*j(d) + 7*q(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 2\/19, 4\/5, -1.3 in decreasing order.\nAnswer: 4\/5, 2\/19, -2\/5, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36417122429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 252 - 378. What is the remainder when f\/21 + 4 + -2 + 38 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2384806.\nAnswer: 2, 41, 127, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8139 + 27782. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -939, -938, -935, -930, -923, -914, -903?\nAnswer: -890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 17*i + 7 + 20 + 19.\nAnswer: -17*i + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 7*u + 7. Suppose -3*y = z + 6, 8 = -4*y - 4. Suppose 4*x = -s - 3, -2*x + 0*x - z = s. Suppose 0 = 2*m - 14 - x. Determine k(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - 3*o**3)*(-17*o**2 - 4*o**2 - 26*o + 11*o**2) + 2*o**5 - 2*o**5 - 4*o**5 + (-o + o - 2*o**3)*(0*o**2 + 4*o**2 - 3*o**2).\nAnswer: 24*o**5 + 78*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.955 + -0.045. Is y less than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrlffrrlflrr. Give prob of sequence lrfl.\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - 2*h + h + (-1 + 7 + 1)*(-84 + 20*h - 85 + 155).\nAnswer: 138*h - 98","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(9\/(-6) - -2). Suppose n*p - 166 = -26. What is the highest common divisor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 7\/180*p**5 + 0 - 1\/36*p**4 + 0*p**3 + 0*p - 35*p**2. Factor l(a).\nAnswer: a*(7*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**6\/540 + 2*k**5\/45 + k**4\/4 - 37*k**3\/3 + 5*k**2 + 7. Let w(u) be the first derivative of r(u). Solve w(z) = 0 for z.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - 57. Suppose 2*a = 2*h - 2, -4*h + h - k*a + 15 = 0. Suppose -r - h = 2*f, 2*r - 5*f = -2*r + 40. What is the remainder when 13 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 3071*c + 3067*c - 46, -3*o + 2*c = -11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, 67, 260, 635, 1252, 2171, 3452, 5155?\n\"Answer: 10*o**3 + o**2 - 2*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -22*q**3 - 2. Let z be v(-2). Suppose 2*n + 0*n - z = 0. Let i = n + -58. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 0*j**4 + 1\/2*j**3 + 0*j + 2*j**2 - 1\/60*j**6 + 0*j**5 + 0. What is the derivative of l(h) wrt h?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/5451 and 64\/885.\nAnswer: 1608045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 163195.5078 - 163101. Let y = -1.2802 - o. Let u = -96 - y. Round u to 2 decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0665039 to 4 decimal places.\nAnswer: -0.0665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5372342.\nAnswer: 2, 173, 15527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3315 or 3312?\nAnswer: 3315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 4320.\nAnswer: 30240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56998 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -338.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - z = 105, c - 216 = -c + 4*z. Is 21 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(31\/4))**25*m**(-2\/41)*m\/m**(9\/13))**(8\/9) assuming m is positive.\nAnswer: m**(-239482\/1599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6*1*360\/12*92\/(-368).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2401 divided by 343?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8*g + 10*g - 1422722 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 353, 420, 547, 740, 1005, 1348, 1775, 2292?\n\"Answer: s**3 + 24*s**2 - 12*s + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 2*v**4 + v**3 + 0*v**3 + 0*v - 2*v + 0*v - 4*v**2 in the form u*v**4 + s + f*v**2 + a*v**3 + i*v and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -5*i + 3*z - 20, -5*i + 30 = 5*z. Calculate the highest common divisor of 62 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 76383, 76981, 77981, 79383?\n\"Answer: 201*u**2 - 5*u + 76187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*m + 51*m - 17*m - 35 + 12*m)*(6*m**2 + 25 - 25).\nAnswer: 90*m**3 - 210*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 796 + -796.3. Let x(j) = -j**2 - 6*j - 6. Let u be x(-5). Let s(o) = -o - 10. Let y be s(-5). Which is the nearest to u? (a) p (b) -2\/9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30414294 to the power of 1\/3, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 299.69008 + -10.\nAnswer: 289.69008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123269 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 43*k**6\/5 - k**5\/10 - 3*k**4\/4 + 4*k**3 - 42*k**2 - 557*k. Find the second derivative of w(s) wrt s.\nAnswer: 3096*s**2 - 12*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (84\/10)\/((-4)\/(-240)). Let g = n + -1243. Let c = -1339 - g. Round c to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 * 0.535\nAnswer: 28.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-8)\/4)\/9*27\/(-18)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 8 = -4*h. Let i = h + 4. Suppose i = 3*v - 3. Solve -15 = 5*k - 6*d + d, -k = -5*d - v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = q + 6, q + 5*b - 32 = -47 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 313. Let i(z) = -3*z - 615. Give 2*i(s) + 5*x(s).\nAnswer: 4*s + 335","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304496, 2436088, 8221848, 19488860, 38064208, 65774976, 104448248?\nAnswer: 155911108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 3:19 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-56)\/384*(-75)\/(-350)*4.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a**2 + 2*a. Let n(g) = -7*g**2 + 3*g. Determine -2*n(v) + 3*p(v).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = k + 2. Calculate the remainder when k is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from {n: 4, f: 3, j: 13}?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 172\/(-430)*-2*5\/(-26)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 11:07 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1112215 + 355?\nAnswer: -1111420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -229*i**3 - 7*i**2 + 5*i + 3. Let m(q) = 228*q**3 + 10*q**2 - 5*q - 4. Determine 3*m(p) + 4*n(p).\nAnswer: -232*p**3 + 2*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**31*b*b**7)\/((b*b**19)\/(b*b*b**(3\/2))) assuming b is positive.\nAnswer: b**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c - 7*c**3 + 8*c**3 + c**2 + 2*c + 0*c**2 - 30. What is the hundreds digit of d(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -8\/8007?\nAnswer: -8\/8007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73.9 - 72.9. What is the nearest to w in 2\/5, 0.5, -3, -1\/10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 127 - 339 = -2*r, 5*p - 476 = 3*r. Let c = 9 - -3. What is the remainder when p is divided by (-92)\/(-6) - (-8)\/c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) -4 (c) -32908\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -285*((-213)\/9 + 11) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -312303 + -13133133?\nAnswer: -20112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/2 - 939*x\/2 + 945.\nAnswer: -3*(x - 2)*(x + 315)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10001100 (base 2) to base 7\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213510 is divided by 165?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/10 and 39\/3319567?\nAnswer: 33195670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -7 + (5 - (-12 - -6)) - 1) + -76?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30629798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-10) + (-16)\/(-10). Suppose 351 = n + p*n. Let o = n - 51. What is the highest common factor of o and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0669740961 rounded to 6 decimal places?\nAnswer: -0.066974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 * -0.42.\nAnswer: 17.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 632049997?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 115\/10 + (-3)\/(-6). Suppose -m*p - 330 = -15*p. Calculate the highest common factor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 613 (base 8) to base 3\nAnswer: 112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*b**2)*(-4*b**2 + 2*b - 2*b)*(13 + 7 + 103) as t*b**4 + f + g*b + i*b**3 + r*b**2 and give t.\nAnswer: 984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/18*((-6)\/7)\/((-810)\/1890).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1414 - 33?\nAnswer: -1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**6\/120 - 2*c**5\/15 + 2*c**2 + 2*c. Factor g(t).\nAnswer: t**2*(t - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -5*g**2\/2 - 4*g - 1. Suppose -6*a + 18 = -9*a - 3*o, 4*a = -o - 15. What is k(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/18 and 151\/4734?\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 54, -2, 0.18, -4, 2?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 28. Suppose -5*r - 3*m = -26, 0 = -3*r - 5*m + d + 8. What is the remainder when 7 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46764.3*-7.\nAnswer: 327350.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**5\/20 + u**4\/6 + u**3\/2 + 2*u**2 - 2*u. Let a be g(3). Let l(x) = 0*x + 2*x - a*x. Let w(n) = 2*n. What is l(w(q))?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30702 - -21030874\/685. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-3 + -29 + 2). Calculate the greatest common factor of 20 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**8\/840 + k**7\/700 - k**6\/450 - k**3\/3 - 3. Let z(o) be the third derivative of n(o). Determine q, given that z(q) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*h = 7, 4*r + 1 = 2*h + 11. Let o = 95 + 1623. Suppose o = -r*z - 3682. What is z rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**4\/12 - 2*j**3\/3 - 4*j**2. Let f be z(-3). Suppose -x - 37 = -2*x + 5*h, -x = f*h - 37. What are the prime factors of x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 11*c**2 - 9*c + 18. Let n be (-13 - -4) + -5 + 4. What is the remainder when p(n) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 57*k + 910 = -11*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {f: 1, u: 1, i: 5, h: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 7*k - 5*w = 19559, 3*k - 3*w = 58677. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3\/3 + 652*r**2 - 84696*r + 2462400 = 0. What is r?\nAnswer: -600, 54, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 - (-66 - (-81 + 52)).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1678744 is divided by 50871.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 214\/4*(-364)\/(-26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + -10 + 17 + 15 + (-2 - 2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*g - 3666 - 2340. Which is greater: g or -285?\nAnswer: -285","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127.0002074 + 127. What is r rounded to five dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 275514612?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 3*g**2 + 3*g - 2. Let s be v(-4). Suppose -5*z = -0*z, -4*a - s*z = -68. Let l = a - 12. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7585 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 4*f + 192*f**2 + 126*f**2 - 319*f**2.\nAnswer: -f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -13. Suppose -4*t = 2*j - 7*j - 32, -2*j = -4*t + 44. What is the remainder when t is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000204701 rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -11016, -3, 3, -289 in ascending order.\nAnswer: -11016, -289, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22465 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: In base 4, what is 2 - 120?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 divided by 5.\nAnswer: 77\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 40.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -0.0132?\nAnswer: 0.4868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 650530104?\nAnswer: -650530106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(7 + -12 + 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**3 - 1420*c**2*r**2 - 267693*c*r**2 wrt c.\nAnswer: 24*c - 2840*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (317*m + 963*m - 559*m + 1065*m)*(-8*m**2 + 3*m**2 + 3*m**2).\nAnswer: -3572*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6463 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44526 + -25657. List the prime factors of b.\nAnswer: 18869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22409 - 1703005\/76. Calculate the common denominator of v and -101\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/2 in -3, 0.5, -8, 9, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2331 and 215964.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.2, -3\/16, 0.009?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-48))\/(-1)*6.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -31, 44, 119, 194, 269, 344?\n\"Answer: 75*h - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/1*(-357)\/(-42). Are m and -256 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33972 and 1938?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1aa2 + -3?\nAnswer: -1aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8*f + 3*c = 180, 0 = -3*f - 3*c + 102. Suppose 2*g = 9 + 129. Suppose 0 = -4*z + f + g. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 2056 + 2056.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (7 - ((-11 - (-10 + 6)) + 10)) + -11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + (sqrt(204) + sqrt(51))\/sqrt(3) + 0.\nAnswer: -8 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47582 by 5.\nAnswer: -47582\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-4)\/(-32))\/((-39)\/4)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*d**4 + 2*d**3 - 3*d + 5*d - 15*d**4 to j*d**2 + n*d + q*d**3 + z + s*d**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times -0.2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s**4 + 66 - 109 + 129 + 7*s**4 + 37 + 2*s**3 - 6*s as g*s + i*s**2 + y*s**4 + o*s**3 + u and give u.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.94 + 6.94. Which is the closest to -2? (a) x (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3565318*f**2 - 4513225.\nAnswer: -7130636*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 516, 1015, 1508, 2001, 2500, 3011?\nAnswer: 3540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -11. Let v be ((-1)\/s)\/(37\/111). Solve 3*r = 4*l + 6, 5*r = -2*l - v*l + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + c - 6 = 5*c, 2*c = 2*r + 4. Put r, -5, 2\/9, 9 in increasing order.\nAnswer: -5, r, 2\/9, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 9*o - 16. Let g be m(6). Suppose g*b = 6*b - 8. Suppose -24 = b*p - 88. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -4. Solve x = -2*i - 2*i - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -v - 1, v = -2*o + 53. Let x be (27\/(-60))\/(120\/o + -6). Which is the nearest to x? (a) 0 (b) -2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7088844, -14177656, -21266468?\n\"Answer: -7088812*x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -104 and 60.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 13*h + 216. Let j(l) = 15*l + 212. Calculate 6*j(t) - 7*m(t).\nAnswer: -t - 240","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 12\/5*j**5 - 2*j**3 + 15\/2*j**2 - 6*j - 110 - 1\/2*j**6 - 3*j**4. Factor h(y).\nAnswer: -3*(y - 2)*(y - 1)**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31103301221 + 3?\nAnswer: 31103301230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 19 = -2*w, -1 = -3*w + 3*h - 7. Solve 49 = -w*r + 34 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 16\/3, 12, -0.1, -7?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 414769 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 u(l) = 4*l**2 + 35325*l - 318258. Give u(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 6, 3*b + 7*h + 465 = 2*h. What is the common denominator of (-875)\/b*(-20)\/(-49) and 113\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22389, 22395, 22393, 22377, 22341, 22279?\nAnswer: 22185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 424, 1595, 3520, 6199, 9632?\nAnswer: 13819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*f + 4*s + 15, f + 15 = -3*s. Let k = f - -46. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.886 - -1.88598569. Round w to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 8:55 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ac (base 15) in base 9?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crzzczzzzzzzzzzcrczr. Give prob of picking 1 c and 2 z.\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 5*g**2 - 43*g - 61. What are the prime factors of i(15)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -26, -8, 30, 94, 190, 324?\n\"Answer: i**3 + i**2 - 6*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4388049 divided by 2?\nAnswer: 4388049\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/5 - (-2492)\/(-2225).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s**2 - 54*s - 177. Let v(d) = 5*d**2 - 36*d - 88. Let h(x) = -4*j(x) + 7*v(x). Give h(-37).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 20 = -3*q, 0 = 5*q - 8*q - 2*z - 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 41020223621 - 0.4\nAnswer: 41020223620.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*i**2*v - 199533*i**2 - 364*i*v + 4*v with respect to v.\nAnswer: -17*i**2 - 364*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 11*m**2 + 19*m. Calculate g(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 442 = q, 2*q - 9*n + 6*n = -869. Let d = q - -556. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20122 (base 3) in base 7?\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/20)\/((-12)\/10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21418*s - 8048*s + 369582 + 2724348 for s.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13 + 7)*(-2 + -6). Suppose -5*c + 109 = 29. What is the greatest common factor of r and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 18*t - 32. Let g be w(16). Suppose -3*x - 2*j - 3*j - 53 = g, -31 = 2*x - j. Are x and -29\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-50)*-6*(-25)\/(-80)*-4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 467 - -14?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, x: 12}. Give prob of sequence cx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 d when three letters picked without replacement from {d: 3, k: 1, c: 2, q: 7, x: 2, g: 3}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*s - z + 5 = 0, -3*s + 4*z + 13 = 0. Solve -1 = -s*j + 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2053655 - -20\nAnswer: 19.7946345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -7*k + 3*k. What is the first derivative of 3 + 1 + 9*t**4 - 12*t**k - 5 wrt t?\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 + 187. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m = -28*m - 12. Let i = 9 + m. Suppose 4*h - 5*r = h - 6, 4*r - 2 = h. Put 5, i, h in decreasing order.\nAnswer: 5, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 7, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1351162088 to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -12*g**3 - 2*g - 1. Let u be a(-1). Let k(c) = c**3 - 13*c**2 + c - 3. Let s be k(u). Solve 2*v + s = -3*d, 0*v - 4*v + 2 = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8418 and 318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90850, -363386, -817604, -1453498, -2271062?\nAnswer: -3270290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*i + 196*i = 887*i - 10189 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95*b**4 + 8 + 18*b**4 - 6)*(3 - 2 - 2 - 4 + 1 + 1 + (3 - 4 + 2)*(-5 + 0 + 0)).\nAnswer: 616*b**4 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.55 * 10.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/36*5*8\/10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c - a62e81?\nAnswer: -a62e9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14081172*x - 14081172*x + 132*x**2 + 261*x**2.\nAnswer: 393*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-1\/2)*s**(-16)*s assuming s is positive.\nAnswer: s**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 1\/12 (c) 5 (d) -4\/3 (e) -1867 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*f**2 - 32*b*f - 30890850*b + 53*f**2 - 61*f wrt f.\nAnswer: 2*b*f - 32*b + 106*f - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1909, 19241, 66401, 158341, 310013, 536369, 852361, 1272941?\nAnswer: 1813061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 1, 5, 3\/5, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30121423 + -3?\nAnswer: -30121430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {o: 2, f: 3, b: 8, g: 1, t: 5}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 142, 59, -24?\n\"Answer: -83*r + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x = -5*x + 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1. Let t(i) = -i + 8. Suppose -3*r + 9 = 0, 3*q - 3 = 10*r - 5*r. Give q*l(m) + 2*t(m).\nAnswer: -2*m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + 19.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 79103*j - 12758?\nAnswer: 79103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 c when three letters picked without replacement from sqcc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - 4.2. Let j = 3 + m. What is the third smallest value in 2\/3, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -48?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*c**(-6\/11)\/c*c*c)\/((c**0*c)\/c**(2\/25)) assuming c is positive.\nAnswer: c**(147\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 55 - 0 - (-5 + -6 + 10). Calculate the highest common divisor of y and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - p - 3 = -6*p, -3*q + p + 5 = 0. Let x be 2 + -5 + 0 + 3. Suppose 0 = 3*m - 4 - 8, x = -2*t - m. What is the nearest to 1\/3 in t, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r - 6*r + 2*r**3 - 9*r - 2*r**2 - 2 to the form j + d*r**2 + u*r + p*r**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0654 - -0.1346. Which is the smallest value? (a) q (b) 19 (c) 1 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stt when three letters picked without replacement from {s: 3, t: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by 5\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*n**3 - 15*n**3 + 54*n**3 + 10*n**3.\nAnswer: 148*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**4\/108 - i**3\/54 + 40*i + 23. Let d(z) be the first derivative of y(z). Let d(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158002520 and 600?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8516242 is divided by 447?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 4. What is the closest to -1 in -1\/2, n, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 1:20 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 + 5)\/(1\/137) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 56 = -56*l + 52*l, l + 61 = -5*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3*-200 - 6)*2\/6. Put -3, -0.5, 2\/7, r in ascending order.\nAnswer: r, -3, -0.5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 464 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 - 88. Let n be -1 + 42\/9 - 3. Which is the fourth smallest value? (a) n (b) s (c) -0.1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 1, i: 1, w: 1, b: 2, y: 9}. What is prob of sequence iw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/(-4))\/(30\/(-60)). Solve -4*l + p*l - 3 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 712*y**2 + 46*y - 211. Is q(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -24.6. What is the biggest value in -3, 5, a, 2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-28))**(-40)\/(u**(1\/6))**(-45) assuming u is positive.\nAnswer: u**(2255\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*p = 0, -4*o - p - 3*p - 36 = 0. Let w be (-167 - 10\/5)*o\/2. Suppose 5*s - 4*l = w, -66 = -s + 4*l + 45. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 518, 1046, 1574, 2102, 2630?\nAnswer: 3158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c + 3. Let a(m) = -17*m - 13. Let o(u) = -16*u - 12. Let k(w) = 4*a(w) - 5*o(w). Let x(t) = -8*h(t) + 3*k(t). Let n(v) = 2*v**2. Calculate n(x(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.9798*0.0401.\nAnswer: -0.48038998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4 = 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**3 - 2*r**3 - 3*r**3 + 2*r**3 + r**3 - 2*r**3 + (-4*r**2 + 3*r**2 + 0*r**2)*(-1 + 2*r + 1) + r**3 - 5*r**3 + 2*r**3 + 3*r**3 + r**3 - 3*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1461966573?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 7 + -4 + 5 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8, -2\/991, 5, 0.53?\nAnswer: -2\/991","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34855366 and 3052?\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 31*g**2 - 7*g**2)*(g + 4*g - 3*g) - 199*g + 199*g + g**3 + 9*g**2.\nAnswer: -73*g**3 + 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184 a factor of 685683629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j\/((j\/(j*j\/(j**0\/j)*j))\/j))*j)**(21\/8))**(-32))**(-14\/5))**(-44) assuming j is positive.\nAnswer: j**(206976\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1407, -0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r = -59*r + 42 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 500438?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 12*p - 14. Calculate the remainder when 64 is divided by l(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3315430?\nAnswer: 2, 5, 331543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4 - 5*p**3\/2 - p**2\/2 + 5*p\/2 + 3\/2 = 0. Calculate p.\nAnswer: -3\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, i: 3, z: 4, k: 4}. What is prob of picking 2 z and 1 i?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18421608287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -5*i - 9, 3*f + i - 18 = -27 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 61*b - 3434. Determine z(56).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q + 1. Solve -a + q*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*93\/248?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*o + 108*o = 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*b + 7. Let d = -524 - -526. Solve 4*j = -f, d*f = -b*j - 9 + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*((-92)\/(-24))\/(-23))\/((-238)\/(-126))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from kvnmmhqnh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-48)\/(-192))\/(769\/20). Do w and -0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 - -45. Let a be (35\/10)\/(1\/(-137)). Let b = a - -453. Calculate the common denominator of u and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -99166773?\nAnswer: 99166777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/126 and -89\/6.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1040587.\nAnswer: 17, 61211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9892085299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + sqrt(165)\/sqrt(3))\/sqrt(11) - (sqrt(500) + -1)**2.\nAnswer: -501 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k = -30. Let d = k + -2. List the prime factors of d - (1 + 2\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 6486 (b) -5 (c) -0.5 (d) -1 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + -3. Let z = -5667162 + 5667158. Suppose -q - q + 2*k - 6 = 0, -9 = 5*q + k. Which is the third smallest value? (a) q (b) z (c) -1\/6 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2667 and 35433.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105001527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 18*n**2 - n - 17. Let b(a) = 3*a + 24. What is the least common multiple of b(-6) and k(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -3, 0, -6, -5 in decreasing order.\nAnswer: 33, 0, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 733487309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -32474?\nAnswer: -32500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.35752 millennia to months.\nAnswer: 112290.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c. Let f(w) = -15*w - 6. Suppose 280 = -2*l + 228. Let q(m) = -59*m - 26. Let y(j) = l*f(j) + 6*q(j). Determine t(y(u)).\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*g - 4*n, -2*n = 3*g + 1 - 9. Suppose 2*d + 17 = 3*a, d = 5*a - 19 - g. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 2. Let j be -1*(2 - b) + 0. Suppose 3*v + 2*v - 20 = -u, 0 = -u - v + 4. Is u != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001807 to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62139656*p**3 + 276800998*p**2 wrt p?\nAnswer: 372837936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3054532 decades to months.\nAnswer: 36.654384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15\/3*(-49 + 0)\/(-7) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*y**4 - 15*y**4 + 34*y**4 + (-3 - 2 + 6)*(-2*y**4 + 0*y**2 + 0*y**2).\nAnswer: 26*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(117)\/(sqrt(9)*-2)) + sqrt(91)\/(sqrt(35)\/sqrt(5)) + -5 - 4*(4 + -4 + (sqrt(325) - (sqrt(325) + -1 + sqrt(325))))**2.\nAnswer: -1309 + 85*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcc when three letters picked without replacement from vvccvcvvvvc.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + 12 + (-5 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1218513 by -406171.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, l: 2, w: 1, b: 5, m: 1, y: 4}. What is prob of picking 1 m and 1 t?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(5))*-4 - (sqrt(5) - (1 + sqrt(720))**2)) + -3*1*sqrt(405) - (-5 + (sqrt(5) + sqrt(5)*-1)*-4 + -5*2*sqrt(80))**2.\nAnswer: -7308 - 408*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(200) + ((sqrt(200)*-2 - sqrt(200) - sqrt(200))*4 - sqrt(200)))\/(sqrt(1100)\/sqrt(11))*1)**2.\nAnswer: 18432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 322828 and 2165053.\nAnswer: 3509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-351))\/(180\/288*4).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*k - 11*k - 16*k - 16*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (5 - (-11 - -24))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -2 + -3 + 5 + -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/(v\/((v*v*v*v\/(v**(-9\/4)*v))\/v)))\/v*v)**(-46) assuming v is positive.\nAnswer: v**(-483\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22681 and -1.47.\nAnswer: -33341.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 5, -1, 4 in ascending order.\nAnswer: -4, -1, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 - 66. Let a = 7 + l. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -69. List the prime factors of ((-18)\/(-21) - 0)*j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**3 + 819*b**2 + 26754*b + 131688 = 0. Calculate b.\nAnswer: -236, -31, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1848.9*-4.\nAnswer: 7395.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -32e2b (base 16) in base 11?\nAnswer: -13265a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -318997, -318950, -318903, -318856, -318809, -318762?\nAnswer: -318715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 328 and 16.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5054012 to the power of 1\/2, to the nearest integer?\nAnswer: 2248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*x + 16*x + 510 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/60*3)\/(18\/(-10)). Which is the nearest to d? (a) 1\/5 (b) 5 (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 74*s**2 - 7*s - 5. Let c be g(-5). Let i = c + -1317. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 8 - 9 = -2*t, 4*t - 2*q + 6 = 0. Suppose 0 = 4*f + i - 57, 0 = -f + 2*f + 3*i - 17. Let b be 16\/56 - 4\/f. Which is bigger: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azpe when four letters picked without replacement from papzpesazppppsppaaz.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -642.962899 rounded to one dp?\nAnswer: -643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 576\/128*(-1)\/3*(6 + -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/3 + 7)\/(-1). Let b be -1*17\/(-21) + 1\/w. Factor -1\/3*k**4 - 4\/3*k**3 - 5\/3*k**2 - b*k + 0.\nAnswer: -k*(k + 1)**2*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(3924\/1199)\/((-6)\/(-33)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**9\/272160 + u**8\/90720 - 7*u**5\/60 + 2*u**2. Let b(m) be the third derivative of k(m). Factor b(h).\nAnswer: 2*h**2*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 15 = 2*v. Suppose 24 = 7*l - v*l. Solve x - l = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 135367169*t. Let f(o) = -2*o. Give f(k(d)).\nAnswer: -270734338*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20 + 14 + 6*u**2 - 13 wrt u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40912296.7 rounded to the nearest ten thousand?\nAnswer: 40910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 3 (c) -3 (d) 2 (e) 458 (f) -182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11058727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.18 (b) -0.4 (c) 24\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 712 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*q + 44577 - 50533 = -268882. What are the prime factors of q?\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 12:37 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 9:56 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*n + 1 + 3, -w = n. Suppose -w*v = -62 - 10. Suppose -2*p = -2*d - v, d - 3*p + 7 + 12 = 0. Let t(q) = q - 1. Calculate t(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 6. Let h be p(7). Let j be ((-1)\/18)\/(h\/4). Does 0 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15098930 and 990?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b576 (base 16) in base 12?\nAnswer: -22a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 4*p**2 - 13*p + 40. Suppose 12*m - k - 15 = 8*m, -2*k = -2*m. Determine q(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 57 = -1. Calculate the remainder when 35 is divided by (48\/(-14))\/(8\/k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1695 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11, -4, 3, 10?\n\"Answer: 7*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/18*((-5930)\/1779)\/((-40)\/18)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 2*g**2 - 2*g**3 - 3*g**3 + 3*g**3 - 2*g**3 + (-1 + 5 - 5)*(2*g**3 - 1 + 1) + g - g - g**3 + g**2 + 0*g - 2*g**2 - 7*g**3 + g.\nAnswer: -14*g**3 - g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 15*g + 150. Let s be p(-10). Let n(b) = 1342 - 1346 + 5*b**2 - 3*b**2 - b**2. Determine n(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/((-1)\/90). Suppose g - 6*g = 2*n + 13, 5*n - r = 3*g. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116719 is divided by 822?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -511a05 + 2?\nAnswer: -511a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f**2 + f**3 - 39*f**2 - 35*f**2 + 105*f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nannznnlzelzo.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -379? (a) -8 (b) 1\/2 (c) -140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10\/1247 - -15911\/37410. Let z = q - 11\/10. Which is the third biggest value? (a) 0.1 (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 3238.798\nAnswer: 64.77596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h**2 + 2. Let f(u) = -u**3. Let d(y) = f(y) + m(y). Let a be d(-6). Solve -3*k - 2 = -a*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/30*5*-6)\/(594\/(-18))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1252 + -1172. Calculate the remainder when 87 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 11:38 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -337 - -2149\/6. What is the common denominator of w and (-259)\/(-28) + (-15)\/(-18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119350 and 3150?\nAnswer: 1074150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -241 - -171. Let s be ((-155)\/o - 2)\/((-3)\/4). Let m = -0.25 + -0.05. Which is the second biggest value? (a) 0 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (29 - (102 + 4)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.001.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3190.59 kilograms in tonnes?\nAnswer: 3.19059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-6 + 3) - (-2 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((24\/(-117))\/(-2))\/(-5*36\/270)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133 + -85. Suppose 234 = s*k - 46*k. Is 27 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -f - 70. Let v = -1 + 3. Calculate the lowest common multiple of (f\/(-21))\/(v\/24) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9378299 and 206423?\nAnswer: 5579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -94844, -189646, -284448, -379250, -474052, -568854?\n\"Answer: -94802*u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17 + 5\/2*(-120)\/(-75). Suppose -m = -5*o - 3*w + 9, 5*w + 70 = 5*o. Calculate the lowest common multiple of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7\/2, 0.1 in descending order.\nAnswer: 3, 0.1, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 15 = 309. Let n = -63 - b. What is the greatest common factor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -4\/15*m**5 + 100*m**2 + 0*m + 0 - 98\/3*m**3 + 14\/3*m**4. Solve t(o) = 0.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/10 + 53\/(-62) and -52\/5?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 - 521\/7. Let g = 50\/63 - i. Factor 0 - 2\/9*c - g*c**2.\nAnswer: -2*c*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 14. Round g to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 1, h: 3}. Give prob of picking 1 a and 1 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 + 913\/(-88))\/((-3)\/(-4)). What is the third biggest value in v, -0.2, 0.08, -2, -7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54532 is divided by 18134.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4762000 rounded to the nearest one hundred thousand?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**4*x**2 - 10*v**4 + v**2 + 4*x**2 - 2*x wrt v.\nAnswer: -24*v*x**2 - 240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 6*v**2 + 4*v - 4. Let p be b(6). Let q be 4\/(-6) + 272\/48. Suppose 4*s = 3*d + p, 2*s = -q*d + 3 + 7. Round d to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 2*d**2 + 2*d. Suppose -4*u + 34 = -14. Suppose 5*f + u = f. Let g be w(f). Solve -p = -3*a - a, -p = -g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 161*y + 28*y**5 - 6*y**4 - 31*y**5 - 42 - 168*y**2 - 20*y + 78*y**3 = 0.\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 47339665?\nAnswer: -236698325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14916)\/10890 + 0\/2 + 32\/24?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/((7 + (9 - (-1510)\/(-100)))\/((-18)\/210))?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2*c - 3*c)*(4 + 0 - 3) + 38*c - 8 + 8 + c - 5*c + 3*c + (3 - 2*c - 3)*(6 - 3 + 1).\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (5 + 2) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clc when three letters picked without replacement from {c: 3, u: 3, l: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -183*o - 4405. Determine j(-24).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v + 3. Let q be k(-2). Suppose -t = 4*m - 6, -1 = 2*t - 2*m - 3. Let j(h) = 4 - 1 + t*h - 2. Determine j(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2342082 to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 5. Let r be t(-2). Suppose 0 = -5*h + 4*y + 72, 2*h - h = r*y + 21. Solve -3*f + 0 = h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 156*s - 352. Let c(v) = -v**2 + 2*v. Let l(w) = 6*c(w) - u(w). Factor l(t).\nAnswer: -4*(t - 44)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 12. Let t be ((-21)\/6 + 2 + 1)*1. What is the nearest to 0 in m, t, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -554620 (base 10) to base 4.\nAnswer: -2013121330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25841519.\nAnswer: 11, 443, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 9 = 0, 4*u - 2*v = 3*u + 8. Let o(w) be the first derivative of -35 + 30 + 42 - 11*w**u + 28*w. Differentiate o(g) with respect to g.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 1 - 1 + 4 - 1 + 1 + 0 + 1 + (2 + 2 - 3)*(4 - 3 - 2) - 3 - 1 + 3)*(-2 - 1 + 2)*(1 + 1 + 0)*(5*l**3 - 2 + 2).\nAnswer: 30*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4554 and 594?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w - 6. Suppose 5*q + 80 = -5*o, w*q + o + 14 = 5*o. Let d = -4 - q. Calculate the greatest common divisor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001100000001010 - -100101?\nAnswer: 110001100000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -3*l, 2*l - 3 = 5*l - 4*h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-2)\/5))\/((4888\/(-52))\/(-47))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 7217*l**2 - 12864720*l - 566606700.\nAnswer: -(l - 3630)**2*(l + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 147 + -73. Let p = -950 - -955. Let c(z) = 2*z**2 - 11*z + 31. What is the remainder when t is divided by c(p)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + s + 38, 14*z = -4*s + 199 + 279 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5*w - 34, 3*w + 27 = -0*x - 4*x. Let s = 6 + -4. Let z(c) = -3*c + 5. Let f be z(4). Put f, x, s in ascending order.\nAnswer: f, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, q: 1, y: 1, b: 3, z: 4, w: 1}. Give prob of sequence hzqz.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.50714 nanoseconds in milliseconds?\nAnswer: 0.00004250714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -28*r**2 + 2994*r + 205. Determine g(107).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*z + 20. What is the remainder when z\/(-18) + 5365\/45 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 547*z + 8 - 17 - 544*z.\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 2*j + 0*j**2 + 8*j - 4*j**2.\nAnswer: -j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -56, -126, -210, -314, -444, -606, -806?\n\"Answer: -p**3 - p**2 - 60*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.16 - -8.16. Which is the second smallest value? (a) g (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u - 2*u**2 + 3*u + 0*u**2 + 3. Let p be t(4). Solve -4*a + q = -5 - 5, p*a - 5*q = -1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*c - 2)*(c**4 + 0*c**2 + 0*c**2)*(29 + 31 - 45).\nAnswer: -30*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11001011001101010 (base 2) to base 16\nAnswer: -1966a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -1. Let g(v) = -11*v**2 - 8*v + 14. Let h(l) = g(l) + 6*w(l). Let q(j) = -4*j**2 - 3*j + 3. Give -3*h(k) + 8*q(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**4*z + 955*n**4 + n**3*z - n**3 - 100*n**2*z - 2*n**2 - 4*n*z wrt n.\nAnswer: -48*n*z + 22920*n + 6*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -26*o + 21*o. Let k(w) = -2*w**3 + 10*w**2 - 6*w + 12. Let t(y) = y**3 - 5*y**2 + 3*y - 6. Let j(i) = -4*k(i) - 9*t(i). Determine j(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17161 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -374, -1282, -3076, -6056?\nAnswer: -10522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 83*c = -86*c - 56, 7*k = 3*c + 47 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9*34 + 0 - (2 - 0).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -8*h + 17. What are the prime factors of a(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/429 + (-4 - 2768\/(-748)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 times -11618080\nAnswer: 20912544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 55718325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/3366 and 131\/8316?\nAnswer: 141372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1213, -744, 1363, 5108?\n\"Answer: 819*a**2 - 1988*a - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13648497 is divided by 1620.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8225749073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2 = -2*s. Suppose 3*t + s = 1. Solve -3*u - 2*v + t = 13, 4*v = -4*u - 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42\/13 in -4, 0.5, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 0 - (2 - (-1 + 4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 1:13 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12063, 46607, 104181, 184785, 288419, 415083, 564777?\n\"Answer: 11515*v**2 - v + 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 31 = -3*w, w - 4*w = 5*v - 59. Suppose -5*j - d + 41 = 0, v*j = 14*j + 3*d - 35. What is the nearest to -3 in j, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-99)*(6 - 3*-4*(-23)\/48).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x = -23*x + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6566415, 26265658, 59097721, 105062598, 164160283, 236390770, 321754053?\n\"Answer: -o**3 + 6566416*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 3233?\nAnswer: -3310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8609448*i. Let w(o) = -5*o - 2. Calculate w(j(a)).\nAnswer: 43047240*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcqcycyq. Give prob of picking 1 q and 1 y.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 507972 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -866*o**2 - 11250*o + 104.\nAnswer: -2*(o + 13)*(433*o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (-10 + 9 - 4) + 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - ((0 - (4 - 4)) + -21 + 28)) + -4.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 271\/542*176\/143\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -93. Let o = u - 19. Sort o, -2\/9, 2 in ascending order.\nAnswer: -2\/9, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -222510*l**3 - 23*l + 1453.\nAnswer: -1335060*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3*x = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1074 = 5*i - 2*k + 4*k, i + 2*k = 218. Let y = 542 - i. List the prime factors of y.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -15\/19 (c) -108.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 26)\/(10\/(-4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/39 and 97\/66.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -43*l**3 + 3*l - 2. Let u(c) = -22*c**3 + c - 1. Let r(n) = 2*m(n) - 5*u(n). Let g be r(-1). Let k = g + 34. Solve 0*y = 5*y + k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 8 = -6*b. Suppose 0 = 3*c - 0*d + 5*d - 3, -2*d + 6 = b*c. Let k be (-94)\/(-18) - c\/27. Let z(f) = -f**2 + 3*f + 1. Determine z(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6778, 13555, 20332?\nAnswer: 27109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 1:14 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13680198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102101 + 3222023?\nAnswer: 3113322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1156739, -2313485, -3470219, -4626935, -5783627?\nAnswer: -6940289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -198, -435, -766, -1191, -1710, -2323?\nAnswer: -3030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1436 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -21.8. Let h = y - -12.2. Let j = 15.2 - h. Round j to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 8 - 1)\/(15\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499*u - 2*u**2 - 347*u - 2 + 323*u.\nAnswer: -2*u**2 - 523*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -2*m + d - 37, -m = 4*d + 101. Let o(t) = 40*t + 4. Let u be o(3). Let k = u + m. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*856868.7\nAnswer: 1713737.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g + 100. Let c be b(-36). Let h = c - 171. Solve 8 = 9*r - h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 divided by 11.\nAnswer: 210\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 39, 85, 149?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**5\/30 - 532*i**4\/3 - 2266319*i**3\/9 - 754376*i**2 - 1508043*i\/2 + 2112. Factor s(w).\nAnswer: -(w + 1)**2*(w + 2127)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 102?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33\/(-9) + 1\/(-3). Let j = 5 + p. Is j greater than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-20)*(-12 + (-319)\/(-22)). What is the nearest to -2 in 0.2, -0.16, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r + 13. What are the prime factors of z(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -6*m + 2*a + 1, -4*a = 3*m - 7. Let z be m*4\/6*12. Calculate the highest common factor of z and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + (-140)\/(-14))*-5*(-1 + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3 - d**2 - 439. Let f(p) = 4*p**3 - p**2 - 438. Give 3*f(x) - 4*i(x).\nAnswer: 4*x**3 + x**2 + 442","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 4*k**2 + 3*k - 12. Let a be z(-5). Calculate the lowest common multiple of -2*(10\/(-4) + 1) and a\/(-3)*15\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, k: 2, q: 1, s: 2}. Give prob of picking 2 k and 1 q.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4039751039 to the nearest integer?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 0. Suppose 7*h - 124*h = -6552. Calculate the greatest common divisor of l and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 478*t + 66. Let g(u) = 29*u + 4. Let w(a) = -33*g(a) + 2*x(a). Let d(h) = -h. Let z(p) = 128*p. Let j(m) = -96*d(m) + z(m). Give j(w(o)).\nAnswer: -224*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -133411 and 415?\nAnswer: -55365565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4649572298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26.2 - 30.2. Let a = -21.6 - -25. Let z = 3 - a. What is the closest to 2\/3 in 0.1, z, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 2280567.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11994 + -11965. Solve 136 = -h*j - 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616389557?\nAnswer: 7, 197, 446983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 118, -8, 3, 2 in increasing order.\nAnswer: -8, 2, 3, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 18*g**2 + 19*g + 9. Let k be x(19). Suppose 0 + 18 = 4*w + 2*s, -5*s - 33 = -3*w. Is k at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/45 + 2\/6. Let v be 46\/(-408)*16\/3. Let w = 14\/17 + v. What is the third biggest value in -5, w, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 55\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a millennium in decades?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(1 + (-1 - 5)). Suppose 4*r = -f + 9. Is (-10)\/r*(1 - -13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 13*m**3\/6 - 37*m**2\/2 + 21*m. Let r be v(5). What is the hundreds digit of 2905\/r - ((-6)\/(-8) + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**2 - 16*r**2 - 16*r**2 - 21*r**2.\nAnswer: -40*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - 4) + (24 - -6 - 26).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -148a07?\nAnswer: -148a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 + 100 + 62 = -15*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228460443.\nAnswer: 3, 76153481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -1159514, 0.3.\nAnswer: -1159514, -3, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*g - 65 = 0, 2*i - 5*g = 11 + 26. What is the remainder when 82 is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**3 + 9978*l**2 + 69957*l + 119988 = 0.\nAnswer: -4, -3, 3333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -453, -446, -439, -438, -449, -478, -531, -614?\nAnswer: -733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 2:27 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.98984 + -21. Round y to four dps.\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 14) in base 3?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164 + 176. Calculate the greatest common divisor of v and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 0*k - 20 - 11*k - 4 + 4*k. Calculate the remainder when 94 is divided by p(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14521 minus -375724.6421?\nAnswer: 361203.6421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*z + 5*u + 89 + 92 - 42, -3*z + 5*u + 137 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/8 - -19\/40. Let z(k) be the first derivative of -p*k**5 - 3 + 0*k**2 + 0*k - 1\/3*k**3 - 3\/8*k**4. Find q, given that z(q) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - w - 9 = 0, -4 = 4*k + 3*w - 7. Suppose 0*o = o. Put 5, k, o in descending order.\nAnswer: 5, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 10:54 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 2*o**2 - o + 4*o**2. Suppose 9 + 21 = 5*z. Calculate the lowest common multiple of z and h(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13774\/18 - (-12)\/(-54). Let s = 2344 - x. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.42.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -896, -1250, -2214, -4094, -7196?\n\"Answer: -51*f**3 + f**2 - 846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24120 = 8*i + 8904. Is i\/(-8)*2*(-1 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wooowoofwwf. Give prob of picking 2 f and 1 w.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163324 is divided by 726.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q - 24*q - 15*q - 6*q.\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k = 2*k - 115. Put 1, 2, k, -6, -3 in descending order.\nAnswer: k, 2, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 8*z + 238 = 0. Let b = -32 + z. Suppose -b*f = 3*f - 715. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 8 = -u. Let m(k) = 5*k - 21. Let a be m(u). Suppose 2*y - 9 = 5. What is the greatest common factor of a and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 2033*y**5\/10 + 7*y**3\/3 - 64*y**2 + 40*y + 57. What is the second derivative of c(x) wrt x?\nAnswer: 24396*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*q - 26, -3*q + 6 = 2*s - 2*q. Let l(m) = m - 3. Calculate l(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 3. Let u = -5 - -4. Let k be u*(6\/(-9))\/(4\/6). Let l(v) = v - 1. Suppose -5*o + i - 3*i - 20 = 0, i + 5 = 0. What is k*d(a) + o*l(a)?\nAnswer: -3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -239148, -239191, -239240, -239295, -239356, -239423?\nAnswer: -239496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-172)\/(-43))\/((-12)\/90).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1599384785.\nAnswer: 5, 41, 43, 181439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqcccc. Give prob of picking 1 q and 3 c.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 42. Let q(n) = n + 85. Let v(p) = -3*q(p) + 5*z(p). Let w(m) be the first derivative of -2*m**3\/3 + 133. Calculate v(w(b)).\nAnswer: -4*b**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -293\/505 + -2\/101. Is -2 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 + (-2 - -2) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1219, 5104, 8999, 12910, 16843, 20804, 24799?\n\"Answer: v**3 - v**2 + 3881*v - 2662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 + -200. Let w be ((-1)\/3)\/((-9)\/c). Let q(x) = 4*x. Calculate q(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggmgmssgmb. Give prob of picking 1 m and 1 s.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2527 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 797*-0.5\nAnswer: -398.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -0.03 (c) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*z + 6, -3*p + 4*z = -0*z + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3*l - 27 = -2*u, 3*u + 1 = 4*l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 - -2 - 0)*-1*200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -93564628 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 11*l**2 + l + 4. Let r be f(9). Let t = -107 + r. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 6. Suppose 5*v = -5*l + 20, 0 = 2*l - 0*l + v - 8. What are the prime factors of d(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -277, -556, -835, -1114, -1393?\n\"Answer: -279*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l - 11*l + 180 = 8*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -747+-289784325636\nAnswer: -289784326383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-2)*(1 - -2). Suppose a - 2*g = -5*g + 51, 113 = z*a + g. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 6?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10890 + 10890.4. Which is the closest to 8.9? (a) d (b) -0.3 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) -0.2 (b) -0.3 (c) -20\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131923146?\nAnswer: 2, 3, 29, 758179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/32 - 3\/(-4). Let x = 4.36 + -4.4. Is c less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 257 = a, -615 = -5*g + a + 2*a. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czdztmccdncz. What is prob of sequence zzm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 273, 418, 583, 774, 997, 1258, 1563?\nAnswer: 1918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 468, 1846, 4142, 7356, 11488, 16538?\nAnswer: 22506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 2. Let c = 6.34637 - -0.653672. Let l = c - x. What is l rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -250 - 2?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 136, 3, 18 in decreasing order.\nAnswer: 136, 18, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 69*g - 3. Let f(k) = 69*k - 4. Give 4*f(c) - 5*u(c).\nAnswer: -69*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123515)\/3529*(-1 + 3).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/10*(-5)\/(-2). Suppose 4*r - p = 23, 0 = l*r - p + 5*p + 2. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*f + 132*f - 30 = 0. Let v(z) = -26*z**2 + 2*z. Determine v(f).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - -18)\/(-5) - -877?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**5 + 4171*u**4 - 27901*u**3 + 54453*u**2 - 41902*u + 11176 = 0. What is u?\nAnswer: -1397, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 5. Let r be i(-7). Suppose 0 = -2*m + 5*q + 1, 7 = 4*m - 5*q - 0. Let u(k) = 5*k - k - m - 6*k + k**2. Give u(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-25)\/(-9) + 6\/27. Suppose 5*s - 4*j - 26 + 1 = 0, 0 = s - a*j + 6. What is the greatest common factor of 99 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -87746, -175492, -263238, -350984, -438730, -526476?\n\"Answer: -87746*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35\/2 - 17. Let r = 40 - 51. What is the biggest value in 1\/4, r, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggeggegenggggggg. What is prob of picking 2 g?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2602*b**3 - 7*b + 8*b - b + 1278*b**3 + 1322*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/60 - z**4\/6 + z**3\/2 + 3*z**2. Suppose 0 = -3*b - 10 - 14. Let g = b + 11. Give m(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blb when three letters picked without replacement from {b: 5, l: 11}.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/11)\/(1*(-15)\/10)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 225189300 to the nearest 100000.\nAnswer: 225200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.03. Let a = u + -0.57. Let i = 6.2 - 5.2. What is the third biggest value in i, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/5)*h\/(h**(-3)*h)*h*h*(h\/h**(2\/3)*h)\/(h**6\/h) assuming h is positive.\nAnswer: h**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*o - 3391 - 593. Let h = 332 + o. Which is the closest to h? (a) 6\/5 (b) 4 (c) 1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -11, 12986, 76, 1, 3 in ascending order.\nAnswer: -11, -2, 0, 1, 3, 76, 12986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 517018770 divided by -354\nAnswer: -1460505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z\/((z*z**1)\/z))\/z)\/z*z)\/z)\/(z*z**(2\/3)*z*z)*(z*z**(1\/7)\/z)\/(z\/(z\/z**(-2\/9))))**39 assuming z is positive.\nAnswer: z**(-4342\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 2466?\nAnswer: 19728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 293960247 to the power of 1\/3, to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 3*r - 2. Let t be a(4). Let i(n) = -t*n - 5*n + 4*n + n. Let u(b) be the third derivative of b**4\/24 - b**2. What is i(u(p))?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**3 + 5*x**2 + 5*x. Let d(f) = 2*f**3 + 2*f**2 + 2*f. What is -5*d(n) + 2*m(n)?\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-539)\/21 + 2\/3. Let v = -5 + n. Let x be (3 - (-9)\/(-6))\/((-3)\/v). What is the greatest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 6*x**2 - 3*x + 8. Let q be d(6). What is the remainder when 17 is divided by (-4 - q)*3\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 27 + 7 = 0. Suppose 4*q - 1414 = a*o, -q = -0*o - 2*o - 352. Suppose q = -0*c + 4*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 84*m - 89*m - 24207, 48396 = 2*o - m. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**1)**33)**(49\/2) assuming u is positive.\nAnswer: u**1617","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4655408 is divided by 2895.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-52)*9\/((-3591)\/76).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2996097 and 663.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1868, -3700, -5532, -7364, -9196, -11028?\nAnswer: -12860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(768) + sqrt(3)) - ((sqrt(90)\/sqrt(2))**2 - (-1 + sqrt(405))**2).\nAnswer: -305*sqrt(5)\/17 + 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1923, 3848, 5773, 7698?\nAnswer: 9623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123230211000 + -122?\nAnswer: -123230211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 3. Let o be q\/(-1 - (0 - 3)). Suppose o*v + 2*y - 4890548 = -1210538, -3*v - y + 2760005 = 0. Round v to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 303*k + 305. What are the prime factors of y(6)?\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 10*m + 23*m - 58*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j**2 - 47*j + 1. Give m(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**6 - 89*f**3 - 95*f**2.\nAnswer: 240*f**3 - 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/3*4\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 = -2*j - 2*i, 3*i + 196 = j + 57. Let w be (-484)\/(-11)*9\/(-12). What is the tens digit of j\/w*15\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 + -82. Find the common denominator of ((-52)\/(-12))\/((-6)\/y) and -53\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6336) + -3 - (3*sqrt(132))\/sqrt(3))**2.\nAnswer: -108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 2:21 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*q - 28*q - 24*q - 1 + 1 - 2*q - 2 + 2 + 2*q + (2*q - 1 + 1)*(3 - 5 + 3).\nAnswer: -38*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(b - 6*b + 3*b) - 4 + 697*b - 5 - 701*b.\nAnswer: -2*b - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 6*d**2 - d - 3. Let i = 13 - 8. Is f(i) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u + 16. Suppose -3*r = -u*r, 15 = 3*j - r. Suppose 0 = 2*i - 3 - j. Solve -8 = 3*h + w - 6*w, h - i*w + 12 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kww when three letters picked without replacement from {l: 4, k: 3, w: 4, p: 7, v: 1}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*((-102)\/45 + (-12)\/(-20)). Solve -3*m = -15, m + z = 5*o + 6*m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69850 or 70058?\nAnswer: 70058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 180701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41121?\nAnswer: 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2387 in -1, 2\/9, 1\/9, 0.5, -0.4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 558 + -550. Suppose -5*s - h = -28. Solve 12 = 4*v - 3*v - s*p, 2*v + 5*p = -28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 14*j**6\/15 + 49*j**2\/2 + 52*j - 15. Let x(c) be the first derivative of o(c). What is the first derivative of x(w) wrt w?\nAnswer: 112*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = 0, g - 6*g = x - 13. What is the least common multiple of x and 675?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4462.\nAnswer: 2, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g + 8*g + 7*g)*(11 + 6 - 20).\nAnswer: -60*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -83708979\nAnswer: 4\/83708979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -29000000 to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 3:46 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12119424 to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000734 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -468*n**3 - 556 wrt n.\nAnswer: -1404*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 198855829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 391*i**2 + 50*i - 5 + 3 - 49*i + 383*i**2 in the form k*i + j*i**2 + g and give j.\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1493*d**2 - 19*d + 564. Let l(u) = -996*u**2 - 13*u + 375. Let s(k) = -7*l(k) + 5*o(k). Find the second derivative of s(m) wrt m.\nAnswer: -986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131784008 + 1143*r**2 + 131784008.\nAnswer: 1143*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m - 92 + 48 - 2*m - 43 to t + u*m and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w + 8. Let d(f) = -f**3 + 5*f**2 - 6*f + 4. Let n be d(4). Let i be 147\/28 - (-1)\/n. Is q(i) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2951 - 442 = -29*r. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5))**31\/(x*x**(-7))**0 assuming x is positive.\nAnswer: x**(-155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-59840)\/(-510))\/((-80)\/60).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-54))\/(-2)*6\/20\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 8:31 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)*2*-5)\/(sqrt(132)\/sqrt(11))*2)**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -3813 and 0.03 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5505 = 3*r - 5778. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyffrrfyfff. What is prob of picking 1 r and 1 f?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*v + 7*v**3 + 3*v**3 + 0*v**3 - 33*v wrt v.\nAnswer: 60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.458841l?\nAnswer: 9458.841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/4128 and 103\/528.\nAnswer: 45408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, e: 4, f: 1, y: 1}. What is prob of sequence ee?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100000101 (base 2) to base 16.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93583 is divided by 495?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264233855?\nAnswer: 5, 19, 1213, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 319946314 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 8*w - 10*w. Let q(h) = -3*h - 66. Let b be q(-23). Let s be 6 + 0*1\/b. Solve -o = -s + w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 9)*1\/(-2). Suppose -3*s + 64 = -b + 5*b, 4*s + 36 = g*b. Calculate the remainder when 296 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1999 - -2014. Solve -23*v - f + 84 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -9*q + 4*q - 4*p, 4*q - 42 = 2*p. Calculate the common denominator of 1\/(-4) - 279\/q and (-2065)\/100 + -5*(-2)\/25.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 460 (b) -0.16 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(3)*4)\/(sqrt(75) - ((sqrt(75)*3 - sqrt(75)) + sqrt(75))).\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 443.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + 0.01. Let f = 3.97 - i. Let p = 62\/333 - -4\/111. What is the third biggest value in f, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 0*l**4 - 1\/945*l**7 + 0*l**3 + 0*l - 1\/270*l**5 + 31*l**2 + 0 + 1\/270*l**6. Suppose y(o) = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1445 - -1466. Calculate the remainder when 460 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1129 - 1153 - (-45 - 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 + (3\/(-9))\/(4\/(-24)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131525639 is divided by 18789373?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*h - 202*h = -851*h + 34188 for h.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3765*m**5 - 2353*m**2 wrt m.\nAnswer: -225900*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 12*x = -35. Calculate the common denominator of (x\/(80\/(-78)))\/(54\/12) and -57\/70.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8509, -8482, -8455, -8434, -8425, -8434, -8467?\nAnswer: -8530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -930636380 divided by 5.\nAnswer: -186127276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.8 - 4. Sort -0.3, v, 3 in descending order.\nAnswer: 3, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179053590?\nAnswer: 2, 3, 5, 5968453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 897 - 819. Let n(l) = -l**2 + 10*l + 11. Let w be 2\/(-12) + (-165)\/(-18). Calculate the remainder when v is divided by n(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103 - -33. Let r = k - 129. Which is the closest to 1\/4? (a) r (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*o - 10 = 0, 0*u + 2*u + 2*o = 6. Let k(w) = w**2 - w - 1. Let g be k(u). Let v = -350 + 345. Put 4, v, g in decreasing order.\nAnswer: 4, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12149240 by -5.\nAnswer: -2429848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 8:06 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 1698.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9054194, 18108401, 27162610, 36216821, 45271034, 54325249, 63379466?\nAnswer: 72433685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2 + 60. Suppose -r*q + 33*q - 2497008 = 0. Suppose 0 = 11*u - 18111496 - q. What is u rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3. Let c(o) = 16*o + 101. Let m(r) = c(r) + 5*y(r). What is the tens digit of m(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*x**2 + 22*x - 41*x**2 + 26*x**2 + 2*x**3 as b*x + q + m*x**3 + v*x**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63046, -63107, -63266, -63571, -64070?\nAnswer: -64811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -94b - 4?\nAnswer: -951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1145777, 1145775, 1145771, 1145765, 1145757, 1145747, 1145735?\nAnswer: 1145721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/820 and -89\/492?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-10)\/15)\/2)\/((-4)\/12). Is h != 1\/2289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 2*g**3\/45 - g**2\/15 + 1. Factor k(r).\nAnswer: 2*r*(r - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1894304220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 7. Suppose -5*f + 10 = -3*a - f, -x = 2*a + f. Let y = -18 + 15. Which is smaller: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212020 is divided by 1386?\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2. Let t(q) = 120 - 157*q**2 + 17*q**2 - 121. Calculate t(n(b)).\nAnswer: -2240*b**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-18))\/((-60)\/72)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + d - 1. Let q(z) = 4*z**2 + 2*z + 2. Let w be q(-1). Let l(j) = -j**3 + 5*j**2 - 5*j + 5. Let b be l(w). Give n(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542891949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 79384015957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/137312 and -117\/20?\nAnswer: 686560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -102200201111 (base 3) in base 13?\nAnswer: -809b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-6)*(-684)\/(-1900).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6115, 12260, 18405?\n\"Answer: 6145*q - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 261916 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 0.79 (c) 3.8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -3*b + 3*w + 20, 5*w = -25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - g - g)*(-87 - 7 - 1) in the form a*g + r and give a.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2433.\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*w - 164 = -57*w + 364 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gml when three letters picked without replacement from ytlmyglslsllsyl?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 310\/25 + (-4)\/10. Let c be 2*(s\/(-3) + 5). Suppose z + 2 = c*z. Solve 0 = z*v - v + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 572 = -2*q, 2*q = 6*a - 2*a - 576. Let l = -3122\/11 - q. Is 0 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/14)*i**(-3\/16) assuming i is positive.\nAnswer: i**(-29\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -69*p - 27. Let x(y) = -10*y - 4. Let u(j) = -4*t(j) + 27*x(j). Let s(a) = -6*a + 14*a - 11*a. Give u(s(z)).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -65, -153, -303, -527, -837, -1245, -1763?\nAnswer: -2403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49945 and 2205.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*v*z - 5*d + 4*v*z**3 + 6655*v*z - 1312*z**3 wrt v.\nAnswer: 2*d*z + 4*z**3 + 6655*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001163694 rounded to seven dps?\nAnswer: 0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 395 + -395.4. What is the third biggest value in -19.4, -5, q?\nAnswer: -19.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*j + 7. Let f(x) = 3*x**2 + 5*x + 5. Let c be f(j). Solve 4*d = -3*u + 26, -3*u + 5*d = u + c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*r + 6, 4*g + 4 = 24. Calculate the remainder when r is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141738, 141756, 141798, 141876, 142002, 142188, 142446, 142788?\nAnswer: 143226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13707883*u**3 + 368917*u**2 - 8?\nAnswer: -82247298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 + 38*u**2 - 26*u - 166. Let g be r(18). Solve -74*s + 134 = -g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 16*l - 18. Let t be d(-14). What is the remainder when 152 is divided by (-4)\/t*-5*11?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1192 or 3580\/3?\nAnswer: 1192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 651 = 69. What is the units digit of (-8056)\/s + (-1 - (-28)\/24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 + 1550384*t**2\/3.\nAnswer: t**2*(t + 1550384)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1242)\/459)\/(20\/(-170))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2. Let f(a) = -a + 7628. Let p(n) = -3*n + 22807. Let k(g) = -17*f(g) + 6*p(g). What is k(j(h))?\nAnswer: h**2 + 7166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*u = -60*u - 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 28*l**2 + 40*l - 64.\nAnswer: -4*(l - 8)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 812*u - 810. What is the tens digit of m(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 - i**3 + 0*i**3)*(1 + 0 + 0) + 3*i**3 - 5*i**3 + 4*i**3 + (-4*i + 3*i + 3*i)*(5*i**2 - 4*i**2 + i**2).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/v)\/v**(-8) assuming v is positive.\nAnswer: v**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 + -1) - (5 + -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 216271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 132\/(-605) + (-2)\/11. What is the biggest value in -9\/5, -3, t, -3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (0 - 0) - (47 + -79 + 27).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -319 - -619\/2. Calculate the common denominator of (5\/25)\/(6\/335) and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -420828 and -21\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(2\/17)*g))\/((g*g**(4\/3)\/g*g)\/g))\/(g**(2\/5))**(1\/3) assuming g is positive.\nAnswer: g**(-404\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 269498 - 269478. Let d = -1 + -15. Let w = -2 - d. Calculate the smallest common multiple of w and c.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3*f\/f**(1\/10)*(f\/f**(-13))\/f*f**3\/f)**(-21))**(-33) assuming f is positive.\nAnswer: f**(130977\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21\/4 in 4\/3, -260, 6, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 78238353*c + 107964979?\nAnswer: 78238353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 1, c: 16}. Give prob of picking 1 c and 1 w.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8199982 and 4685704?\nAnswer: 32799928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -148558.1827119 - -148742.1827. Let i = c + -184. Round i to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 261*g. Let w(b) be the first derivative of b**2\/2 + 235. Calculate w(h(t)).\nAnswer: 261*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1024 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -3 - (1 - -2 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16620)\/5817)\/((-16)\/21)*8.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (5 + (-7 - -1 - -4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35430811?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + -43 + 120 - 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 28 + 9*s - 83 - 16*s - 6*s + 4*s**2. List the prime factors of b(12).\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -228430, 1 in increasing order.\nAnswer: -228430, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 4 + 224\/(-105) + 9.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 1928485501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/40 and -91\/99576928.\nAnswer: 497884640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*o - 3*o**4 - 3*o + 3 - 3 wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/78 + 233\/(-6) + 22.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + -2. Let a(w) = 17*w**2 + 4*w - 1. Let t(i) = -4*i**2 - i. Determine h*t(k) - 2*a(k).\nAnswer: 2*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 - 2*k - 2. Let s(v) = 59*v**2 - 8*v + 0*v - 38*v**2 - 9. Let q(c) = -26*f(c) + 6*s(c). Calculate q(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 58 + 23. Let w = -79 - h. Let u(k) = -508*k + 2*k**2 + 4*k**w + 508*k. Let f(j) = 3*j. What is f(u(p))?\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 1.4. Let a = -16 + 16.5. What is the second smallest value in -2, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 5, -8.8, -0.098, -0.5, 3\/19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141a62 (base 13) in base 10?\nAnswer: 489504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -43*n**5\/20 + n**4\/3 + 2*n**3\/3 - 4*n**2 + n. Suppose 2 = -k - 4. Let s be d(k). Round s to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/6*1 - 2. Suppose 2*a + 0*a = 4. Which is smaller: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7018*z**2 + 14*z + 14047*z**2 + 3 - 7026*z**2. Calculate j(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -769461, -769417, -769279, -768999, -768529, -767821, -766827?\n\"Answer: 8*i**3 - i**2 - 9*i - 769459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*d - 107732 = -108612 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l - 10*l + 12714*l**3 - 12727*l**3 + 26*l.\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 2179899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3193, 5, 1\/22 in descending order.\nAnswer: 3193, 5, 1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (sqrt(72) + (sqrt(72) + (sqrt(72)*3 - sqrt(72)) - sqrt(72))))\/(sqrt(42)\/sqrt(7)*-1))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1953 - -1.4443\nAnswer: -1951.5557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 13*a - 12. Let y be u(12). Suppose x = -2*h + 3*x + 58, -2*h + x + 56 = y. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h*v*y**3 + 18*h*v*y**2 + 15*h*v + h*y**3 - 2*h*y**2 - h + 59*v*y**3 - 2*y**3 wrt y?\nAnswer: -6*h*v + 6*h + 354*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1552 + 765 - r + r**2 + 808 - 10*r**4 to the form m*r**3 + o*r**4 + u*r**2 + t*r + n and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 86?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, s: 1, r: 3, h: 3, f: 2}. What is prob of picking 3 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103033 divided by 287.\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 43*t**2 - 3*t + 4. Let o be u(1). Find the second derivative of o*s - 15283*s**3 - 4*s**5 + 15283*s**3 wrt s.\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.5 (b) 2 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + sqrt(1100)*1 - sqrt(44))\/sqrt(4).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 9. Let f be w(-6). Suppose 5 = 5*p - 3*t - 2*t, 0 = t + 3. Let i be (f - 1)*p\/(-4). Which is smaller: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4224.383mg to micrograms.\nAnswer: 4224383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2))**(-48)*(c**(-2)\/c)**(11\/7)*(c**(1\/2)*c**(-6)*c)\/((c**(-1)\/c)\/(c*((c**(-3\/2)*c*c)\/c)\/c)) assuming c is positive.\nAnswer: c**(618\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(282 + m**2 - 283 - 3*m**2 + 172*m**3).\nAnswer: 172*m**3 - 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*72\/(-126)*((-147)\/(-14))\/3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 8:13 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24010, 50141, 76258, 102355, 128426, 154465, 180466?\nAnswer: 206423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-4 + (0 - -1)). Let t = -4.27 + 3.77. Let n = -15 + 11. Which is the closest to -1? (a) p (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -173. Let q = -131 + j. What is the smallest common multiple of 12 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -5\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2063608950.\nAnswer: 2, 3, 5, 13, 661, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 6 - 39 = 0. Find the second derivative of -12*s**u + 0 - 1025*s + 14 + 42*s**3 + 1027*s wrt s.\nAnswer: 180*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 0.5 (c) 2374.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31\/405 - -331819\/1620. Let p = 205 - n. What is the nearest to -0.1 in p, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6048 divided by 3024.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -52095*-142\nAnswer: 7397490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5895947733?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000627122 to seven dps.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18333, -18334, -18335, -18336, -18337?\n\"Answer: -s - 18332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (297\/(-540)*(-6)\/33)\/1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1148113267, 1148113266, 1148113265?\nAnswer: 1148113264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 3. Suppose 5*w + 11 - 21 = 0. Suppose z*t = 4*r + 219, t + r + 44 = w*t. What are the prime factors of t?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 - 57. Solve -2*x + 8*x = i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 109, -2\/7, -12, 0.2 in decreasing order.\nAnswer: 109, 3, 0.2, -2\/7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2 + 74. Let n(y) = 5*y**2 - 112. Calculate -8*h(t) - 5*n(t).\nAnswer: -t**2 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95 - 87. Suppose 0 = 6*b - 4*b - g. Let p(n) = -n**3 + 4*n**2 - 3*n + 2. Calculate p(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65681.\nAnswer: 7, 11, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-3 + -3 + 11 - 11) - -38.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 57*u + 88 = 53*u, 2*u + 44 = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1539) + sqrt(1539)*-3)*-4)**2.\nAnswer: 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2287*n + 0 - 1.\nAnswer: 2287*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1107041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7100, -13143, -19220, -25349, -31548, -37835, -44228?\n\"Answer: -3*w**3 + w**2 - 6025*w - 1073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z - z + 2*z)*(-3*z + 2*z + 3*z) + 45 - 46 + 1 + 85886*z**2 + 20266*z**2 as p + y*z**2 + x*z and give y.\nAnswer: 106150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-21)\/(-2))\/((-30)\/(-160)). Calculate the highest common factor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**24*b)\/b)\/(b*(b**(-4\/11)\/b)\/b) assuming b is positive.\nAnswer: b**(279\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a + a**3 - a**2 + 3*a + 14 - a**2. Let k = 324 + -324. Let h be x(k). What is the highest common divisor of 21 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.98689 - -0.08689. What is the nearest to -0.1 in c, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 2*t**2 + 2*t + (-t - 1 + 1)*(-7 + 3*t + 7) to the form w*t + h + s*t**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41180\/9 + 4576. Let n = -2 + 1.5. What is the nearest to -1 in 3, q, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1781 (b) -1\/3 (c) 1801\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/1228392 and -149\/3378078.\nAnswer: 13512312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-12))*y)\/y**(-3)*y**12\/(y\/((y\/((y\/(y*y*y**(1\/7)))\/y)*y)\/y)))**(-20\/9) assuming y is positive.\nAnswer: y**(-860\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**6\/60 + w**5\/30 - w**3\/6 + 4*w**2 - 7*w. Let x(u) be the first derivative of t(u). What is the tens digit of x(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3005033 + z - 1502846 - 1502187.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -193217 take away -1084.43?\nAnswer: -192132.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1878164?\nAnswer: 2, 469541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7931*j + 15923*j - 7988*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12639*y - 3. Let n(o) = 2173918*o - 515. Give 515*c(m) - 3*n(m).\nAnswer: -12669*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.094 - -0.074. Let q = 0.02 + d. What is the closest to q in -2, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-2 - 4) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + (sqrt(75) - sqrt(75)*-3)*5 + sqrt(75) - sqrt(75))**2.\nAnswer: 33075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -749, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281627 a multiple of 536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 h when three letters picked without replacement from khgggkhkghhzgghkgg.\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34743175 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v = b + 7, 0 = -4*b + 5*v + 47. Let k be 8 + b\/(1 - -3). Suppose k*d - 600 = 6*d. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from nnsssnsnnsnxnxxbbns?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, i: 2}. What is prob of sequence ii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 282, 584, 888, 1194, 1502, 1812?\n\"Answer: t**2 + 299*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 + -100. Is s + (-1 + -3)\/(-4) - -1257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36765600 and 2400?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 54 = 50 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 249238.\nAnswer: 747714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 + 4*w**3 - 2*w**3)*(-4*w + 4*w - w**2) - 2*w**5 - 2*w**5 + 2*w**5 - 2*w**5 + 40*w**4 + 2*w**3 - 40*w**4 + 2*w**5 + 2*w - 2*w.\nAnswer: -4*w**5 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 246 = -7*j + 211, -a - 4*j + 18 = 0 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/11, -2, -3\/5, -1\/4 in decreasing order.\nAnswer: 3, 2\/11, -1\/4, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(264\/(-222)))\/(((-380)\/912)\/(30\/(-9))).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-39)\/(-9) + 6\/9. Suppose -2*q - z = -3*q. Let h(w) = -76400*w**2 + 2*w - 10. Let l be h(q). What is l rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 + 0*z**5 + 0*z**5 + (0*z**2 + 2*z**2 - 4*z**2)*(-z**3 + 4*z**3 + 3*z**3).\nAnswer: -10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = v + 6, 3*c - 9 + 1 = -v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 0*x - 1\/4*x**3 + 33\/4*x**2 - 34. Let p(v) = 0. Calculate v.\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 549854?\nAnswer: -5\/549854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211022 + -12?\nAnswer: -1211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*j + 45 + 6, 8 = 2*f. Let d(a) = -3 - 3 - 769*a - j + 772*a. Determine d(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**2 - 5*z + 5. Let u(n) = n**2 + n - 1. Let r(j) = 4*f(j) + 20*u(j). Let h(a) = -a. Give r(h(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10\/11 (b) -3 (c) 3 (d) 2\/11 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -761214914109\/37873994 + -296\/1113941. Let k = u + 20101. What is the common denominator of k and -11\/6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 105\/(-91) - 651\/91\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5 - 5*j**4 + 14*j**3 - 2*j**2 - 13*j + 7 = 0. What is j?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -14. Suppose -2*o = -b*o. Sort o, 4, -1 in descending order.\nAnswer: 4, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/3157472 and 97\/12490?\nAnswer: 15787360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 1289, 5 in ascending order.\nAnswer: -3, 4, 5, 1289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - z + 6*z)*(z + 3*z + 0*z) + (z + 4*z - 2*z)*(0 + 2 + 0)*((1 + 5 - 5)*(0*z - z + 3*z) + 1 - 37*z - 1).\nAnswer: -206*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*220.4.\nAnswer: 4.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1909.6 + -1909.547427. Let c = f - -0.747367. Let y = c + -0.8. What is y rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1076 = -d - 16*d - 311. Solve -268 = d*z + 47 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -477*h - 9561. Give p(-20).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -1\/30*c**5 + 0*c**3 + 0*c + 0*c**4 + 1\/30*c**6 - 1\/105*c**7 + 5*c**2 + 0. Solve i(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85111, 85123, 85145, 85177, 85219, 85271, 85333?\nAnswer: 85405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9406350 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47 take away 5.41123101?\nAnswer: -5.88123101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -687592 (base 10) in base 6?\nAnswer: -22423144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/(-6)*(-30)\/35. Let k(t) = t**2 + 5*t - 5. Let z be k(-6). Which is the second biggest value? (a) z (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 547 or 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5336000295 + -0.0223.\nAnswer: 5336000294.9777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -629*y**3 + 2 + 0 + 1012*y - 1134*y**3 - 15*y**3 wrt y.\nAnswer: -10668*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 876*a*g*u**3 + a*u - 24*u**3 - 2*u wrt g?\nAnswer: 876*a*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10045, 34669, 75709, 133165, 207037?\n\"Answer: 8208*g**2 + 1837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -492*i**5\/5 - 79*i**4\/24 - i**3 + 2*i**2 - 5*i + 177. Find the second derivative of r(o) wrt o.\nAnswer: -11808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/2*(-235)\/(-329)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3))\/(((-91)\/28)\/(-13)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1013*c*q**3 + 3*c*q**2 + 1472*c - 3*q - 5 with respect to q.\nAnswer: 3039*c*q**2 + 6*c*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -2\/15 (b) 1 (c) 6 (d) 2 (e) -8\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2200183832 from 239.\nAnswer: 238.7799816168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 18.6922.\nAnswer: -93.461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2052) + 1*sqrt(2052))\/((sqrt(126)\/sqrt(6))\/sqrt(7)))**2*4.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 5*n**2 + n + 5. Let o be i(-5). Let g be 28 - o\/(12\/(-3)). Suppose m = 3*h + 68, 4*m + 5*h = 3*m + g. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -64, -295, -672, -1189, -1840, -2619, -3520, -4537?\n\"Answer: m**3 - 79*m**2 - m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 - o**3 - o**2 + (7*o**2 - 3*o**2 - 2*o**2)*(14*o + 59*o + 23*o) as c*o**3 + v*o + b + l*o**2 and give c.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*s**5*w + 10*s**4*w - 20*s - 2*w - 2 wrt s?\nAnswer: -60*s**3*w + 120*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 687158000 divided by 250\nAnswer: 2748632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 371160 and 11520.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1271, -1272, -1275, -1280, -1287?\n\"Answer: -a**2 + 2*a - 1272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.02 - 0.02. Which is the second biggest value? (a) t (b) -0.1 (c) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16212 divided by 113?\nAnswer: 16212\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, g: 13}. Give prob of picking 1 x and 2 g.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -3703203\nAnswer: 5\/3703203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 46 (b) -74 (c) 0.3 (d) -0.1 (e) -0.3 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, c: 2, w: 4, d: 10}. What is prob of sequence cnc?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d + 0*d**2 + 45 + 5\/24*d**4 + 25\/3*d**3. Solve f(u) = 0 for u.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 5*x**5\/12 - 5*x**4\/24 + 7*x**3\/6 - 2*x**2. Let u be w(3). Let h = u + -116. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*64\/(-96)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224901c (base 14) to base 9.\nAnswer: 33623333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 4, 0*d = 3*d - 2*z - 187. What is the derivative of 2*k - 28*k**3 + 38 - k - d + 0*k wrt k?\nAnswer: -84*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2465, 3311, 4149, 4979, 5801?\n\"Answer: -4*i**2 + 858*i + 1611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -3*r + 1 - 7, 2*p + r + r + 160 - 146 = -3*r for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (46 - -3) - 5 - (10 + -21 + -2).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, n: 12}. Give prob of sequence uun.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24.25 + 24. Is n greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2648 is divided by 2551.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3*(-45)\/(-3). Let c = -50 - -56. Suppose -4*w + 32 = c*b - 2*b, -5*w + 28 = 2*b. Solve 5*u + f + w = -d, 0 = 3*u - 4*f + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*c + 4 + 115*c - 8.\nAnswer: 16*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 47022.9469 to the nearest 10.\nAnswer: 47020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 24. Let q = l + -5. Solve -3*b - 13 = 2*c - 6, -b = -q*c + 25 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y = 16*y - 80. Let n be 76 + 4\/y + 12\/(-15). What is the highest common factor of 75 and n?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 3:22 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/468*66\/55\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 973 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 39. Calculate the remainder when 34 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from qsqqqussqsq?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w**3 + 5*w**3 + 2*w**3)*(7 + 1 - 7)*(-9 + 0 + 3) to the form i*w**2 + h*w**3 + j + p*w and give h.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5 + 142895*q**4 - 2*q**3 - 285790*q**2 + q + 142895 = 0. Calculate q.\nAnswer: -142895, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(-3\/2)))**(-3\/4) assuming o is positive.\nAnswer: o**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s**3 - 11*s**2 + 5*s**2 + 3*s**3 + 6*s**3 + 2*s**3 in the form o*s**3 + g*s**2 + h + f*s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3549148 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -100933 and 133.\nAnswer: -13424089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -9*i**2 - 13*i - 13. Let p(z) = -9*z**2 - 10*z - 12. Give 3*m(l) - 4*p(l).\nAnswer: 9*l**2 + l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/3229309 and 13\/9?\nAnswer: 29063781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 17*v**2 - 17*v - 17. Let d be g(18). Solve 0 = 3*r - 4*r + d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8495453 and 1017.\nAnswer: 76459077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -277.5 less than 0.09245?\nAnswer: 277.59245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*p + 679 + 235 + 4*p**3 - 2*p**3 - 914.\nAnswer: 2*p**3 + 37*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69704 = 3*f - c, 663*f + 69694 = 666*f + 4*c. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 95187236 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -199091389944 minus 0.6?\nAnswer: -199091389944.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 5, 0 = 5*r - 3*u - 44 - 114. Suppose -r + 5 = -2*f. Suppose 11 = 3*x + p, 0 = -6*x + 2*x - p + f. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 2:56 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2515 (base 6) to base 13.\nAnswer: -38c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 15923*n. Let b(g) = g**2. Give b(a(h)).\nAnswer: 253541929*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 9*y**2 + 12*y. Let x be g(-5). Factor -10*m**3 - 6*m**2 + 47*m - 63*m + x*m - 8.\nAnswer: -2*(m - 1)*(m + 2)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 3*k - 1. Let y be i(-2). Is 14006\/8 - (y\/(-4) - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227.822 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 1478 - 73. List the prime factors of q.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 4:23 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 3528*z - 31590.\nAnswer: -2*(z - 1755)*(z - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 7*s - 2*s)*(120*s + 208*s + 280*s) + (-2 + 2 + 2*s)*(-s - 5*s + 4*s) as t*s + c*s**2 + v and give c.\nAnswer: 1820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 13, -5\/6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l - 69. Determine p(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + (-348)\/(-3))*1. Calculate the greatest common factor of n and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336463645 is divided by 168231821?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y**3 + 3*y**2 + 5 + 7*y**3 + 2*y - 4*y**3. Let a(d) = -d**2 + 0*d**2 - d - 4*d**3 - 1 - 1. Let u = -254 - -259. Determine u*a(p) + 2*k(p).\nAnswer: -2*p**3 + p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1\/10 (c) -3486 (d) 544\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 228 = 16*s, 2*f - 37 - 23 = 4*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 651\/4 + 8\/32. Round k to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**3\/17 - 466*s**2\/17 + 27376*s\/17 - 26912\/17 = 0.\nAnswer: 1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 - 2*b**2 + 2. Let h = 5 + -2. Let a be d(h). Suppose 4*c - a = s, 4*c + 3*s - 11 = 19. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 48174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4550\/238 - 10\/85) + 2\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 37 = -2*k. Suppose -2*z + 1564 = k*o + 78, -3*o + 1489 = 2*z. What are the prime factors of z?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173245\/(-2)*((-510)\/15 - -32) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.25 - -27.75. Let s = -24 + j. Which is the second smallest value? (a) 7 (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1571983, 1571987, 1571991, 1571995?\n\"Answer: 4*k + 1571979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/15 - 138*l\/5 + 3344\/3.\nAnswer: 2*(l - 152)*(l - 55)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13900 or 10961?\nAnswer: 10961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -894*o + 6 + 894*o + 11*o**4 wrt o.\nAnswer: 44*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(13) + -2 + 5.\nAnswer: 1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 23772.\nAnswer: 47544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1561638 + 1561638 - 107*v + 176*v.\nAnswer: 69*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/45, 23, 0.1 in increasing order.\nAnswer: -0.3, 2\/45, 0.1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(3) + -3*(sqrt(3) + 0))**2 - sqrt(3) - (sqrt(6) - sqrt(6)*-1)\/sqrt(2)) + -2 + (2*sqrt(300) - sqrt(12))\/(sqrt(48)\/sqrt(48))).\nAnswer: -15*sqrt(3) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 15*w + 7. What is the units digit of a(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15827 and 12293.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*c**2*d**2*f - 3*c**2*d**2*i + 16*c**2*d*f - c*d**2*f*i - c*d*f*i + 2*c*f*i + 2*c - 3*d*f*i wrt c.\nAnswer: 46*d**2*f - 6*d**2*i + 32*d*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, a: 1, q: 1, o: 3, g: 1}. What is prob of picking 1 o and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6 - 1.4. Let f = t + -0.7. Which is the biggest value? (a) -1\/6 (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.21582 + -1.21582107502. What is v rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 71 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3080)\/99)\/14*-6*5\/(-20)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2428\/135 + (-1166)\/(-78705)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**42*r*r)\/((r*r**40\/r)\/r)*(r\/r**(-48))\/(r*r*(r*(r*r**(-7\/10))\/r)\/r*r) assuming r is positive.\nAnswer: r**(517\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(3 - 6 + 0)*(-4 + 4 + 2*q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*t**4 - 12155*t**3 + t**2 - 3526*t + 10 wrt t.\nAnswer: -384*t - 72930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-2))\/2*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 284868223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -191*r + 277*r - 344. Solve 25*z - 46 = r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 661, 1309, 1957, 2605?\nAnswer: 3253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-4) - (-25)\/(-50). Suppose 2 = -a*o + d + 8, -4*o - d = -8. Solve -l = -o*l - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -47?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1832 is divided by 454?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4558, -4572, -4584, -4594, -4602, -4608, -4612?\n\"Answer: k**2 - 17*k - 4542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -5*o + 5814. Let t = -566 + o. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {h: 7, w: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-88)\/5720)\/(2\/(-10)))\/(1*-1).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggmdmmgm. Give prob of picking 1 d and 3 g.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94599869*o**4 - 2808*o**2 + 13527.\nAnswer: -2270396856*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 2*a + 61*a - 33*a - 30*a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 122*j**2 + 45*j - 134. List the prime factors of s(9).\nAnswer: 11, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20183661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*sqrt(171) + (sqrt(171) - sqrt(171)*-2*-2) + sqrt(171))\/(-1*(sqrt(729) - (sqrt(729) - (sqrt(729)*-4 + sqrt(729))))*-3).\nAnswer: 2*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -611634.88 rounded to the nearest 1000?\nAnswer: -612000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -2, -1, 1265\/6, -6 in ascending order.\nAnswer: -6, -2, -1, 4\/7, 1265\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ducuudcdudcuudd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113596 is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + 1110110100000000010?\nAnswer: 1110110011111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -3\/43, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 12 - 3. Suppose c*d - 4*d = -f + 19, -2*f = -4*d - 30. Suppose -2*y = -4 - 12. Calculate the remainder when f is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 1, u: 2, h: 1, c: 4, m: 3}. Give prob of sequence cm.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + (1 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q. Let t(u) = -25077*u - 2. Determine t(h(i)).\nAnswer: 100308*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0*o - 5*o + 3*o. Let f(h) = -10*h**2 + 14*h - 14. Let n(t) = -2*t**2 + 3*t - 3. Let r(s) = -3*f(s) + 14*n(s). Determine r(j(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-160)\/12)\/10)\/(46\/207).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*m + 483 - 616. Let x(l) be the second derivative of 5\/3*l**6 - 3*l**5 + 0*l**2 - 5\/14*l**m + 0 + 5\/2*l**4 - 5\/6*l**3 - 15*l. Factor x(v).\nAnswer: -5*v*(v - 1)**3*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151228, 147065, 142902, 138739, 134576?\nAnswer: 130413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -15. Let w = -59 + i. Let y = w + 45. Which is the third smallest value? (a) -3 (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453489053?\nAnswer: 453489053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*m - 868 - 764 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/6 - (-1)\/3. Let i(c) = 10*c**2 - 4 + 12 - n*c**2. Let d(r) be the third derivative of r**5\/20 + 5*r**3\/6 - 17*r**2 - 1. Give 8*d(l) - 5*i(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/10 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-29 + (25 - 29 - -59) - 14) + (124 - -1)\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 0*x**3 + x**3)*(3*x - 3*x - 2*x**2) - 144*x**5 - x + 262*x**5 - 105*x**5 + 61*x**4.\nAnswer: 9*x**5 + 61*x**4 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -184, -192, -202, -214?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 293 = 52*z + 199 + 165 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5688 or 5682?\nAnswer: 5682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 566ac (base 15) to base 3.\nAnswer: 111222002000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-160)\/6 - 3\/9. Suppose 4*d - 60 = -3*o - 4, o = 0. Let l = d - t. What are the prime factors of l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 21917*n - 60 = -21921*n, 3*s - 2*n = 82 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44.627 + -40.4284. Round i to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.96517 litres to millilitres.\nAnswer: 1965.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194163347.\nAnswer: 7, 27737621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 419382*l + 14656771827.\nAnswer: 3*(l - 69897)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 42 = 2*d - 5*v, -5*d = 2*v + 101. Let i = d + 28. Suppose -5*g - 50 = 5*j, -3*j - i = g + 3. What is g rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**5 + 6*x**5 + 2*x + x**5 wrt x?\nAnswer: 180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q + 22. Let v be (-50)\/(-75) + (-38)\/(-6). Calculate n(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3396310 (base 10) in base 9?\nAnswer: -6345767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7*((-16)\/4 - -6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 42 = -9346. Let u = -3271 - b. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7 = t + 1, -5*t - 34 = -f. Let h(l) = l + 5. Give h(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2300 + -2299. Let j = -22 - -15. Let v = j - -7.07. Which is the smallest value? (a) x (b) 0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**3\/7 + 3*o**2\/2 + 24*o\/7 - 34. Determine r, given that h(r) = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*-2*(-1)\/6. Let u = 103895\/108 + -962. Is j smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(5))*-4.\nAnswer: -20*sqrt(5) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 413394859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112 - -122. Suppose a + 21 = 2*a - 5*v, -4*v = 5*a - 18. Calculate the lowest common multiple of a and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -217 + 228. Which is the second biggest value? (a) -0.1 (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1375*u - 2922*u - 1703*u.\nAnswer: -3250*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 384238, 1536568, 3457120, 6145894, 9602890, 13828108?\nAnswer: 18821548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1725475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**4 + 88560*i**3 - 392055110*i**2 - 784375920*i - 392232245 = 0. What is i?\nAnswer: -1, 8857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - -43) + 1 + (6 - (3 + -5 + 16))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 11:30 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-1)\/33)\/((-4)\/4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*8\/64*1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*s + 2*s + 5*s - 19*s + 5*s**2.\nAnswer: 5*s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from yzjqaqqqqqqsqqqq?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(112) - (1*sqrt(49))\/sqrt(7).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 9 = 191. Let f = 121\/3 + p. Put 1\/2, 3, f in decreasing order.\nAnswer: 3, 1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6920 divided by 189\nAnswer: 6920\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 2:36 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 991 or 990?\nAnswer: 991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 + -7. Let w(l) = l**3 - 15*l**2 - 16*l + 3. Let f be w(16). Let i(h) = 39 - f*h + 39 - p. Let d(j) = j. Determine d(i(z)).\nAnswer: -3*z + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*h**3 - 2\/5 + 3\/5*h + 0*h**2.\nAnswer: -(h - 1)**2*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 12\/8415695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -213.\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-2)*4\/15. Determine v, given that 0*v + 0 + 2\/3*v**3 - i*v**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -946 + 1587. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 461, 0, 1, 4 in decreasing order.\nAnswer: 461, 4, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 132970 to the nearest one thousand.\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 39, 54, 85, 138, 219, 334, 489?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -2629.\nAnswer: -2624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -9*z**3 - z**2 - z - 2. Suppose b + 2*b = -3*j + 3, 3*j - 17 = 4*b. What is the units digit of k(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13548 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 37*l**2 - 423*l + 12351. Calculate x(35).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**6\/120 - c**5\/15 - c**2 - 1. Let n(s) be the second derivative of f(s). Find the third derivative of n(z) wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 304*m**3 - 104*m**2 - 52*m - 104. Let y(c) = 18*c**3 - 6*c**2 - 3*c - 6. Determine -6*d(o) + 104*y(o).\nAnswer: 48*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-5))\/(171\/285))\/(4\/(-32)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(1539) + -4 + sqrt(1539) + sqrt(19) + (((sqrt(76) + sqrt(76) + sqrt(76)*2)*1)\/sqrt(4))**2 + 4).\nAnswer: 19*sqrt(19) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - -55. What is the remainder when j is divided by (-455)\/(-10)*(-12)\/(-21)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Suppose -5 = -2*j + 4*p - 29, -5*j + 2*p = 36. Let l be (-1)\/j - 4\/6. Which is smaller: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1497648 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, g: 1, w: 1, n: 1, h: 1}. Give prob of sequence gno.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12128 = 11*m + 12139 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1879.\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5412*z - 87816 = 123252 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 10. Let c be 83\/1 - 5\/(-5). Let v(y) = -3*y - 8*y**2 - 3*y**3 - c + 4*y**3 + 102. Let z be v(8). Calculate o(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 578866 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -14 + 4 + d + 10. Let f(u) = -4*u**2. What is f(m(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -242 - 1196287?\nAnswer: -1196529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 1, 0, -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u. Suppose 33 - 13 = 5*v. Let h(z) = 4 - v - z - z. Calculate h(q(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2 + 44282*y + 44284 = 0?\nAnswer: -1, 22142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*k + 6, 2*k - 1 - 1 = -3*n. Let f = 563 - 391. Suppose -s - b = -0*s - 74, 2*s - k*b - f = 0. What is s rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 305 + -304. Is h equal to -9\/925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -22*m - 13*w + 9*w, 2*m + 4*w - 10 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-nine quarters of a gram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(21))\/sqrt(3) + sqrt(63)\/(sqrt(324) - sqrt(9)).\nAnswer: 16*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 3*k - 8*k + 3*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/5)\/(3388\/1210)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87*z - 67*z**2 + 36*z**2 + 205*z + 33*z**2 + 116.\nAnswer: 2*(z + 1)*(z + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -0.5. Let r = p + -0.2. Which is the nearest to 0.2? (a) -4 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c = -3*c + 60 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yweeyteyyytwegyewwee. Give prob of picking 1 g and 3 w.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 113432783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -843, -896, -945, -990, -1031, -1068?\nAnswer: -1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 3*p + 2*p)*(-971 - 25*p + 86*p + 962).\nAnswer: 61*p**2 - 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 11) in base 16?\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtg when three letters picked without replacement from {t: 1, y: 9, g: 4}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21800?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*m)*(-81 - 44*m**2 + 37 + 54).\nAnswer: -132*m**3 + 30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/16)*b*b**(2\/5))**(1\/5) assuming b is positive.\nAnswer: b**(187\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1287261?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21741 is divided by 66.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/90 and (2\/240)\/(58368\/(-4488) + 13).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2352 divided by -98\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sskesdexksekskee. Give prob of picking 1 k and 1 d.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 645394?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/9450 and -139\/2862.\nAnswer: 500850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695*g = 689*g + 24. Solve 0 = -u - 6*a + 4*a - 10, -4*u + 20 = -g*a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12193331 and 1493.\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -209*c**2 - 192*c**2 - 11881 - 192*c**2 + 573*c**2 + 133*c**4 + 52*c**4 with respect to c.\nAnswer: 740*c**3 - 40*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r + r + 3*r**3 - 2 - r - r to m*r**3 + s + p*r + d*r**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 153 = -v. Let d = 219 + -130. Let u = d - v. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*i**3 - 274 - 18*i + 16*i + 3*i + i**2 + 135 in the form s + g*i**2 + h*i + j*i**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 21 = 10*j. Suppose -44 = j*h - 18*h. Let c(v) = 4*v - 45 + 2*v + 7*v**2 - v**3 + 36 - h*v. Calculate c(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -100 + -4500561?\nAnswer: -4500661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/7 (b) 1\/9 (c) 8 (d) -0.3 (e) 4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -1 (b) 2 (c) -0.066 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*q + v - 48 = 175*q - 78*q, q + 8*v = 229 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9835.099 litres?\nAnswer: 9835099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -12, 3 in increasing order.\nAnswer: -12, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 1. Let m(g) be the first derivative of -2*g + 2. Let j(k) = -4*a(k) - m(k). Suppose -2*t + 7 + 1 = 0. Determine j(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/9*36\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-4 + (sqrt(245) - (2 + sqrt(245))) + sqrt(245) - sqrt(245)))**2 + 4 + (sqrt(720) + 2)**2 + 4.\nAnswer: 48*sqrt(5) + 853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**2 + 859790*u + 859792 = 0?\nAnswer: -1, 429896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1512632?\nAnswer: 2, 11, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -691, -790, -899, -1024, -1171, -1346, -1555, -1804?\n\"Answer: -u**3 + u**2 - 95*u - 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 + u. Let q(v) be the second derivative of 7*v**4\/12 - v**3\/3 + 2*v. Let d(z) = -15*b(z) - 6*q(z). Factor d(m).\nAnswer: 3*m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -181.\nAnswer: 17\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(735\/14) - 45\/(-84).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 1, 5, -5, 2.7.\nAnswer: -5, -2\/13, 1, 2.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -221 + 220. Let l(x) = x**2 + 5*x. Let z be l(-4). Put z, p, 2 in increasing order.\nAnswer: z, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 952.7974um in millimeters?\nAnswer: 0.9527974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlqasasf. Give prob of sequence fs.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*u + 0 - 11*u - 2.\nAnswer: 327*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10 + -244006)\/(-16) - 13?\nAnswer: 2, 19, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9188 divided by -2?\nAnswer: -4594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 471286 rounded to the nearest 1000?\nAnswer: 471000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 50 = 3*c - 5*u, -3*c = 2*u - 57. Let h = 989 - 540. Let v = h - 428. What is the least common multiple of v and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -419*w - 15*w - 80*w - 379*w + 81*w as l + o*w and give o.\nAnswer: -812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from azz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 + s**2 - 11*s + 10. Let b(t) = t**3 + t**2 - 1. Let x(m) = -3*b(m) - o(m). Calculate x(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 - 7*q + 4. Let f be (8\/6)\/((-8)\/12). What is the lowest common multiple of p(f) and 18?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1316)\/11280 - (-4)\/(-30)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + p + 22 = 0, 5*r + p = -0*r - 94. Let z = 26 + r. Let d = z - 6. Solve -5*h = -d*f + 21, 0*f + 9 = 5*f + 2*h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 18 = -0*b. Suppose -10 = 5*u - x, -3 = 2*u - 2*x + 1. What is the lowest common multiple of 10 and b\/14 - u\/(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/49)\/(36\/(-126))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -37244 plus -2?\nAnswer: -37246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/34923 and 55\/72.\nAnswer: 838152","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 11791179\/28 - 421162. Let r = -99\/4 - t. Put -0.3, -3\/4, r in decreasing order.\nAnswer: r, -0.3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 19*w**3 + 2*w**2 - 5*w - 12. Let n be h(4). Calculate the greatest common factor of 38 and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 - 18 - (58 - 64)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 8*b. Let z(w) be the second derivative of 1\/21*w**7 + 0*w**3 - 2*w + 0*w**4 + b*w**6 + 0*w**5 + 0 + 0*w**2. Find q such that z(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*y + 313 - 521 = -3136 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 86 = -6. What is the highest common divisor of 24 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15127, -16574, -18991, -22378, -26735?\n\"Answer: -485*r**2 + 8*r - 14650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -853454, -853443, -853418, -853373, -853302, -853199?\nAnswer: -853058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 + -0.85. Let y = n - -1. Let i = y - 0.1. What is the closest to i in -0.4, 5\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320200*n - 320199*n = 18 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1211 is divided by 368?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zczc when four letters picked without replacement from ccczzcc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.0385374 to three dps.\nAnswer: 40.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1764 and 45.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -5. Let n(d) = d**2 + 14 - c - 2*d. Give n(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 13208.\nAnswer: -13208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -79 and 0.0119.\nAnswer: -0.9401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0127472 to 4 dps.\nAnswer: 0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114295.\nAnswer: 5, 22859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 12. Calculate the common denominator of -13\/12 and (x + 0)*184\/(-160).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9723 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 28*i + 1. Let q(l) = 21*l. Determine g(q(u)).\nAnswer: 588*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 100?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 26739.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**2*i**3 + 124*h**2*i**2 - 68*h*i**3 - 928*i**3 + 16*i**2 wrt i.\nAnswer: 6*h**2 - 408*h - 5568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.91 and 13.\nAnswer: 12.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 11:50 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5 = -3*p, -3*p + 6*p - 5 = -4*b. Suppose w - b*g + g = -39, -3*g - 219 = 5*w. What are the prime factors of 140\/w*45\/(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 1 - 1) + (30 - 24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 23. Let w be (-14)\/119 + (-96)\/51. Which is the biggest value? (a) w (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -11909 (c) 3 (d) -0.3 (e) 0.5 (f) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 39\/(2*6\/(-36)). Let t = h + 124. Solve -4*q = 3*z + t + 3, 0 = 3*z + q + 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28608815 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 56*s**2. Let b(k) = -49089*k**2 + 53. What is b(t(l))?\nAnswer: -153943104*l**4 + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -16 + 11*f + 4*f - 7*f. Let o be c(5). Let h = -19 + 22. What is the highest common divisor of o and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 p when three letters picked without replacement from jbpjjjjppjjjbjbjmb?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 at most 662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2808\/2340)\/((3\/18)\/(10\/(-738))).\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54.6 + 55. Let h = -2.21 - -2.11. Let s = 0 + 0.1. Which is the closest to -1\/2? (a) s (b) w (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*u + 9*u - 6*u)*(-6 + 6 + 5*u**2).\nAnswer: 115*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -7*f - 356. Let t = 161 - f. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/25)*u*u*u)**36 assuming u is positive.\nAnswer: u**(2592\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h + 8. Let q(u) = -u - 1. Let g(x) = b(x) + 6*q(x). Let f be g(-7). Let z = 42 - f. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108762*v**5 - 212774*v**2 wrt v.\nAnswer: 6525720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlrprrirppprrppr. Give prob of sequence pip.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10604 is divided by 114.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u - 8. What is the smallest common multiple of y(5) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -8. Suppose 3*v = 2*q + 36, -5*q - 55 = -4*v - a*q. Suppose -2*j + v = -3*z - 20, -z - 4 = 0. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309170 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: Let k = 335 + -337. Which is the nearest to 0? (a) -1\/4 (b) 5 (c) -2\/11 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25108 at most as big as 25107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0 + 1\/5*o**4 - 49\/5*o**2 - 23\/5*o**3 = 0. What is o?\nAnswer: -1, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l + 597 - 597. Let z(t) = -t. Give j(z(g)).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1333201 (base 5) to base 6.\nAnswer: 330221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -861 - -865. Suppose -3*i = 2*g - 2168, 2*i + 1722 = h*g - 2646. What are the prime factors of g?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 141 = 21. Is 27 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 q when three letters picked without replacement from qqqqqqqqqqxqqqqqqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.033 - -44.467. Let g = v + -45. Which is the closest to 0? (a) 1.4 (b) g (c) -4 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -117831 and -34.216.\nAnswer: -117865.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 1921.8 and -125676.68777.\nAnswer: -123754.88777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-68 + 68 - 56*z)*(1 - 2 - 1) + (0*z + z + z)*(-1 + 2 - 5)*(-1 + 0 - 1) as j + w*z and give w.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 5*k**4\/12 - 2*k. Let h(r) be the third derivative of -r**4\/12 + 3*r**2. Give u(h(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + k - 3*z - 3 = 0, 4*z = -5*k - 4. Let i be (-2 + k)*1 + 4. Let f be 1*i*(-2)\/(-2). Solve -3 = u - f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*a + 2*m - 140, -2*m + 175 = 5*a. Suppose 14 = -b + a. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160*x**4 - x**3 - 27*x**2 + 8*x?\nAnswer: 3840*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27.32537 weeks?\nAnswer: 275439.7296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3877007 is divided by 2305?\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842759 is divided by 4656.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*r = 5*i - 15, 5*i = 2*r. Let a be r\/2*8\/10. What is the derivative of 2*y**2 + 3*y - a - 3*y wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1976 - -3351. Suppose 0 = -2*y + 5*d + 1355, d + r = 2*y - 0*d. Round y to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -553*s + 1. Let k be g(-6). Let i = k + -4917. Let r = i + 2628. Round r to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21924 to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77572 divided by -946.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 0 - (43 + -43).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5, -1, 19, 61, 131?\n\"Answer: k**3 + 2*k**2 - 9*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 7c2bdb?\nAnswer: -7c2bd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -338\/413 and -1.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 26927897.\nAnswer: 26927897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 4:36 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 79*j + 2*j**4 + 0 + j**3 - 144*j + 64*j in the form s*j**3 + a*j**4 + t*j + m + k*j**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 156. Let b be a(0). Suppose -2*i + 2*r = -0*r - b, 0 = i - 4*r - 72. Factor 37 + 35 + 45*c + i*c**2 + 12*c**3 + 111*c.\nAnswer: 4*(c + 3)**2*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06241003982 rounded to 5 decimal places?\nAnswer: 0.06241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((88\/3)\/8)\/((-1)\/(-498)). Let h = -1241 + c. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**24\/g)\/g*g)\/(g*g\/(g*((g\/(g\/g**15))\/g)\/g)*g) assuming g is positive.\nAnswer: g**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 36*y**2 - 57*y - 248. Calculate the remainder when l(34) is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1286203710?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6190 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -386*f**2\/11 - 1716786*f\/11 - 1085068\/11 = 0.\nAnswer: -4447, -122\/193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-51) + (-1011)\/(-7293). Let a = 581\/429 - z. Suppose -4\/3 + a*s - 1\/3*s**2 = 0. Calculate s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/8 - 7527*q**2\/8 + 7539*q\/2.\nAnswer: -3*q*(q - 4)*(q + 2513)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*q + 40, 0 = 2*x - 0*q - 2*q - 18. Let c(u) = 0 - 4*u**2 + 5*u - 8 + 3*u**2 + 25. Let k be c(7). Solve -l = -5*l + 4, -k*y + x = l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**11\/z**(-7))\/((z*z**(-9\/4))\/z**(2\/33)) assuming z is positive.\nAnswer: z**(2549\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5\/r**6)\/(r**(-3)*r*r**1))\/((r\/(r*r**(-1)))**39)**31 assuming r is positive.\nAnswer: r**(-1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 1\/669, 1, -28, -4, 1.2, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9692987km to micrometers.\nAnswer: 969298700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 26, -27, -8, -4\/7, 0.3?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.124? (a) 73 (b) 191 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 75, -859, 5, -3.\nAnswer: -859, -3, 5, 16, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 3*s**2 - 3*s**2)*(5 - 4*s**3 - 5 + 2*s).\nAnswer: -8*s**5 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -27. Let v be -5*-1*r\/2. Solve -v*p + 2 = 2*m - 15, 4*m + 26 = 2*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8168*q**2 + 27*q - 3759878?\nAnswer: 16336*q + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, p: 2, a: 6, u: 4, i: 3}. What is prob of picking 2 p and 1 u?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 3*t)*(-t**4 - 3*t**4 + 2*t**4) + (1 + 4 - 18)*(7 - 38*t**4 - 7)*(4*t - 3 + 3).\nAnswer: 1972*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1287 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, x: 10}. What is prob of sequence xa?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -82*g + 6880. Determine s(84).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -33 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -3*d - 9, -g + 3*g = -4*d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o + 4 - 3*o - 9. Let j(m) = 4*m + 1. Let t be j(-1). Let d(v) = -2*v - 11. Give t*d(q) + 7*f(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n + 12. Calculate s(12).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 16548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58331 = 5*i + 2*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 7:13 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1825 divide 135664611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 - 6*s**2 - s**2)*(3 - 2 + 1).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 180*c - 2158. Calculate i(167).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -61*g + 2. Let j(i) = -60*i + 2. What is 4*f(a) - 5*j(a)?\nAnswer: 56*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -55\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0122773 - -0.01265. What is d rounded to five dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:22 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28 or -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 3588?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7 + 1 + 2*i - 7*i + 6*i**2 + i - 2. Let s(b) be the third derivative of b**4\/24 - b**3\/6 + 4*b**2. Calculate -f(j) - 4*s(j).\nAnswer: -6*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -60577961 and -127435.\nAnswer: -60705396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/43 in 1\/4, 3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7505 and 2765?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 10:27 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -545930 rounded to the nearest ten thousand?\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13.09893986 and 1.2?\nAnswer: 14.29893986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 10) to base 8.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x - 3. Suppose -3*t - 28 = -10*t. Let d be f(t). Suppose -6*z**4 + 0*z**d + z**2 - z**5 + 3*z**2 + 3*z**4 = 0. Calculate z.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 10*m + 3. Suppose m = 11*i + 4*i - 75. Let l(p) = -2*p + 6. Determine l(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x - 3. Let p be v(-1). Suppose 0 = -3*z + 3*u - 21, p*z = z + 2*u - 2. Calculate the smallest common multiple of 4 and (z\/(-9))\/((-2)\/(-18)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2713 + 2726. Which is the nearest to -2? (a) -0.2 (b) w (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296807008.\nAnswer: 2, 9275219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 3*v**4 - 16\/3*v**3 + 0*v - 60 + 0*v**2 + 4\/5*v**5. Factor c(l).\nAnswer: 4*l**2*(l - 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 6*v - 46. Let t be s(-11). Solve -2*g - t = -5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**44*m**(6\/31))\/(m*m\/(m*m**(-8\/11))*m*m**(-1)*m) assuming m is positive.\nAnswer: m**(14140\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 h when three letters picked without replacement from fffhfhffhhhffhhfhhf?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*i + 3*i - 40 = 0, 112*i = 114*i - 8. Suppose 0 - 1\/4*t**s + 19\/2*t**3 - 361\/4*t**2 + 0*t = 0. Calculate t.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1249 - 37?\nAnswer: -1282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16473, -16472, -16471, -16470, -16469?\n\"Answer: u - 16474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/27)\/((-9)\/9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*6*56\/(-84).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 183*s*y - 309*y wrt s.\nAnswer: 183*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - 2*z + 3*z)*(2 - 3 - 2)*(-1 + 3 - 4)*(38*z - 27*z + 30*z) + (-3*z + 2*z + 0*z)*(-2 + 2 - z) + 3*z**2 + 3*z - 3*z as k + u*z**2 + b*z and give u.\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1081*x - 38921. What is s(36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 23*t - 154662 = 2*x, 5*x = 20. What is t rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/10 - 361*r**2\/10 - 32721*r\/10 - 667719\/10.\nAnswer: (r - 439)*(r + 39)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3398 by -5.\nAnswer: -3398\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -89961 - 54?\nAnswer: -89a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -81220868 times 4?\nAnswer: -324883472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*k, -3*u + 7*k = 2*k + 19. Let o(d) = d - 1. Let j(h) be the second derivative of h**3\/3 - h**2 + h. Let v = 3 + 0. What is u*o(s) + v*j(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7)\/(u*u**(-1\/3)) assuming u is positive.\nAnswer: u**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 2*v - 2*v)*(4 - 5 - 3) + (3*v - v + v)*(-2*v - v + v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, z: 2}. What is prob of picking 2 g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**6\/120 + l**5\/20 + l**3\/2 - l**2. Let k be o(6). Let a = 152 + k. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2734108 and 93643199.\nAnswer: 374572796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121.5 + 641.7. Let y = 765 - v. What is the second smallest value in 0.3, -4, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2. Let l(i) be the third derivative of -10 + 0*i**3 + 0*i**4 - 7\/30*i**5 + i**2 + 0*i. Give l(t) + 8*s(t).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 2, r: 4, o: 1, b: 3, q: 7}. What is prob of picking 2 l?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2453289 to the nearest integer?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97817.\nAnswer: 29, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 70*p - 73*p = -9822, -5*b + 2*p + 16363 = 0. List the prime factors of b.\nAnswer: 3, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -936 + 639. Let z = -293 - v. Which is the nearest to 2\/5? (a) -0.3 (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 4128.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1422120\/(-17556) - -81)*-19. Determine x, given that -l*x**2 + 23\/11 - 2*x = 0.\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33808 - -2749727507?\nAnswer: 2749761315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3383, 3353, 3347, 3377, 3455, 3593, 3803, 4097?\n\"Answer: 2*v**3 - 44*v + 3425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18502 + 29625. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2416.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100 + -356. Let z be (-4)\/(-18) + c\/18. Let x = -23 - z. Is -8 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -2. Let o = 15 + z. Is o < 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 - 5)*(17*c - 5*c + 23*c) + 5 - 2*c - 5 as o*c + m and give o.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-4 - 26) - (13 - -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8902754 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1608880?\nAnswer: 2, 5, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 217243 + -3721?\nAnswer: 213322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*32.\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**3 - 2*m**2 + 44*m. Let g(v) = 7*v + 5. Give 3*g(x) + 4*j(x).\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 85 = -3*s - i, 5*i = 2*s + 61. Let v be 27\/s*(-8)\/(-6). Let b be (-27)\/(-21) + -3 - v. Which is greater: -3\/8 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 3*y + 3. Let d be u(4). Sort d, -5, 1, 2.\nAnswer: -5, d, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 - 4*q**2 + 4*q**2 + (6*q - 13 + 13)*(2*q**2 - q**2 + 4*q**2) + 7*q**2 - 2*q**3 - 7*q**2 + 3 - 3 + q**3.\nAnswer: 27*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324034140 (base 5) to base 4.\nAnswer: -11110012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s + s**2 - 2 - 7 + 2*s. Suppose -18*j - 5*p = -19*j - 15, 6 = -3*j + 2*p. Calculate v(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/(-55) - (2 + 46\/(-5)). Let w(v) = -9*v - 2. Let c = 0 + 6. Suppose c = h + h. Let q(f) = 4*f + 1. What is h*w(b) + u*q(b)?\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71621670*t**3 - 4*t**2 + 96074712 wrt t?\nAnswer: 214865010*t**2 - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 4 (c) 3\/8 (d) -5 (e) -15 (f) 28459 (g) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/30*9\/2. Solve 6*o = u*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 378227*u**4 - 86*u**5 + u**3 + 5300*u**2 - 378227*u**4 wrt u?\nAnswer: -5160*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1808.85cm in millimeters?\nAnswer: 18088.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 + -263. Let i = b + 167. Let a = -463\/42 + 76\/7. What is the closest to -0.2 in 6, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1 (c) 0.4 (d) 8 (e) 135449\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-10))\/(((-35)\/25)\/7). Let a = 6 + z. Let r(k) = 6*k - 9. Let u(g) = -3*g + 4. Let j(w) = 3*r(w) + 7*u(w). What is j(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 + 8*s - 3. Let z be j(-6). Suppose z = 4*y - 11. Suppose -12 = -3*t + f + 9, 0 = 5*t - 3*f - y. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 3125?\nAnswer: 3136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 543192925 divided by 5?\nAnswer: 108638585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7170.3 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-1)*(-21)\/(-12). Let d be (-2)\/f - 234\/(-63). Solve -d = -3*p + 3*l + 8, 0 = p + 4*l + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 2*r**2 - 5*r - 3. Let q be n(-3). Let h = 23 - q. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + 0*p**3 - 6*p**3 - 15*p**3 + 8*p - 8*p + (-p**2 - 3*p**2 + p**2)*(p + 0*p + 3*p) + p**3 + 3*p**3 - 2*p**3.\nAnswer: -30*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32466730*b**2 + 46582962 wrt b.\nAnswer: 64933460*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, -2, 2, -14, 4 in descending order.\nAnswer: 9, 5, 4, 2, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 60914.73 millilitres in litres?\nAnswer: 60.91473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2 + -5)\/(-18 - -20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*m + 11, 2*m - 138 + 166 = 4*l. Solve 5*o = -d + 9, -2*d - m*o + 4 = -2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/8 + 51*b**2\/4 + 1243*b\/8.\nAnswer: -b*(b - 113)*(b + 11)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1\/6 (b) 150 (c) -0.06 (d) 0.8 (e) 3 (f) 2 (g) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3000121 in -8\/5, 2\/3, 3\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 f when four letters picked without replacement from wawwaaawwwf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -245*h**4 - 1645*h**3 + 2445*h**2 - 595*h + 40 = 0. What is h?\nAnswer: -8, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.562 - -4.562. Which is the second biggest value? (a) 0.4 (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microsecond in nanoseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3001, -3000, -2999, -2998, -2997, -2996?\n\"Answer: j - 3002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48\/23, 0.4, -1, 0.5, -3 in ascending order.\nAnswer: -3, -48\/23, -1, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2042527 (base 9) in base 4?\nAnswer: 10022113012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/40952 and 1\/6.\nAnswer: 122856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -102149\nAnswer: 5\/102149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542703 is divided by 818?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 63954\/(-816) - -86 - 6\/(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 770451*s + 770452.\nAnswer: -(s - 1)*(s + 770452)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-68)\/(-119) + (24\/42 - 4). Does -3 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**7\/70 + 21*v**6\/40 + 99*v**5\/20 - 121*v**4\/8 - v**2 - 42*v. Factor d(p).\nAnswer: 3*p*(p - 1)*(p + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4892 divided by -4?\nAnswer: -1223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/(-63))\/(11 - (-415)\/(-35)))\/(1\/201)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5402061 is divided by 32153?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*v + 3*v**3 - 291*v + 570*v.\nAnswer: 3*v**3 - 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3 - 2\/(-6). Calculate the remainder when 28 - (-2)\/1*(-3)\/2 is divided by ((-2)\/(-2) + a)*13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-12))\/(2\/(-6)). Let c(f) = f**3 + 4*f**2 - 7*f - 5. Let j be c(-5). Solve 3*d - i*m = 16 + 3, 4*m + 35 = j*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 892 + -449. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 260.3502 tonnes?\nAnswer: 260350200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + (1 - 3 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 s when four letters picked without replacement from {s: 1, t: 1, v: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 70 = 70 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 28 - 22030*i**2 - 22021*i**2 + 44049*i**2 = 0. What is i?\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -5*j + 5, 0 = 225*d - 230*d + 25 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -6. Suppose o = d - 3 - 2. Solve p = d*p + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63*-4\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k = 0. Suppose m - 4 - 12 = k. Solve 3*i + 0*u = 5*u + m, -3*u + 2 = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*s, 1 + 20 = 3*n + 5*s. Calculate the least common multiple of n and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2\/(-6) - (-8890)\/30 - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 10, -9 in descending order.\nAnswer: 10, 0, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 61074764 and -0.1.\nAnswer: 61074763.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liilllvqvv. What is prob of picking 2 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96836 + 9809 = -9*u - 2670*u + 33528 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 1. Let j(h) = 13*h + 36. Suppose -15*y - 38 = 22. Let u(z) = 12*z + 27. Let r(t) = y*j(t) + 5*u(t). Give 51*l(i) + 6*r(i).\nAnswer: -3*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -6, -7, 2 in descending order.\nAnswer: 26, 2, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -56 and -1456148.\nAnswer: 81544288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.2319783 rounded to two decimal places?\nAnswer: -82.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -1240*t + 1245*t - 0*d - 21, -5*d + 35 = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + -7. Let c(m) = -4*m - 45. Let w be c(h). Solve -g - w*g = -16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2964818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - 5 - (-23 - (-56 - -4)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 35*k**2 + 226*k + 8. Let u(a) = -13*a**2 - 75*a - 3. Determine -3*f(s) - 8*u(s).\nAnswer: -s**2 - 78*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 221160 and 221907 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7114023.86205 less than -841?\nAnswer: -7114864.86205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 + 81. Suppose -t = t + 18. Let x be (6\/t)\/((-2)\/3). Put x, v, -1 in ascending order.\nAnswer: -1, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - 276\/(-156) - -9.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 150\/8*(-2088)\/(-31320)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-239)\/(-2868))\/((-5)\/4).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 m when four letters picked without replacement from {x: 3, m: 5}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*z**4 + 0*z**3 + 0*z**3 + 1 - 95*z**4 - 7 + 7*z - 2*z**2 as g*z + k*z**2 + f + c*z**4 + p*z**3 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -2 (b) 0.2 (c) 0.1 (d) -23334 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 3856 = 3936 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*d + d. Suppose 0 - d = -7*j. Suppose 0 = 5*i - 9 - j. Solve 0 = -i*a - 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s + 5*s - 42735 = 0. Is s a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3293, 3, 5, -1047 in decreasing order.\nAnswer: 5, 3, -1047, -3293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*p + 76*p + 5*h = 3, -5*p + 4*h - 10 = -4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 180881, 361771, 542667, 723569, 904477?\n\"Answer: 3*w**2 + 180881*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.03? (a) -0.1 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**(1\/4)*i)*i)\/i*i*i**(-1))\/(i**6*i**(2\/3)\/i)*(i**(1\/3)*i**4)\/(i*i\/i**(-2\/13)*i*i\/(i\/((i*i\/(i*i*i**(1\/4)\/i*i))\/i))) assuming i is positive.\nAnswer: i**(-97\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zeeg when four letters picked without replacement from {g: 3, t: 3, v: 1, e: 3, z: 8}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 16*z**2 + 17*z - 25. Let s be y(-17). Let t = 29 - s. Is 13 a factor of 4\/((-158)\/t - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 + 0.22.\nAnswer: 27.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 58 (b) 2 (c) -5\/4 (d) -4 (e) 337 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.93 times -10.119?\nAnswer: 282.62367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from rkckckwkrkckck.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 7*y - 3*d = -101, d = 3. Solve 6 - y = 8*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 3, 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 16 + 6 - 12847*n + 20.\nAnswer: -12847*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 4*x - 3. Let g be r(-3). Solve 3*p = -0*p + g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(42\/(-28)))\/(20\/(-3))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 1)*(0*t - 4398 + t + 0*t + 4628) to x + q*t and give x.\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -247535, -247536, -247537, -247538?\n\"Answer: -a - 247534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 346538, 346536, 346534?\nAnswer: 346532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-12) + (-14)\/24. Let v = -89147\/7 + 12878. Let y = v + -143. Which is the nearest to -0.1? (a) -0.2 (b) y (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 6*z - 0*z. Suppose z = -k - 6*t + t + 494, -993 = -2*k - 5*t. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538.791 rounded to the nearest 10?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-4) + 2 + -3. Let g(c) = -3*c**2 + 4*c - 358 + 185 - c**3 - 2*c + 177. What is g(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + 0 + 0 - (-34947 - -35050).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-119)\/(-4) + (-1659)\/948)\/(12\/105). Let q be (-422)\/(-3) - (-2)\/(-3). Calculate the greatest common factor of q and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3677 is divided by 263?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11390\/9 - -1266. Let m be 4*((-2)\/4 - -1). Suppose -22 = 4*p + m. Which is the smallest value? (a) p (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20328 is divided by 5082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 13*t**2. Let z(s) = -4716*s + 135. Give z(m(o)).\nAnswer: -61308*o**2 + 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 1, x: 1}. Give prob of picking 1 j and 1 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 510\/85*1\/34.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5 - 2138*x**4 + 72006*x**3 - 797390*x**2 + 2933524*x = 0. Calculate x.\nAnswer: -1102, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkttttkstltktsls. What is prob of picking 2 t and 1 k?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-2 - 1 - 1)*(0*t + t - 2*t) + 0*t + t + 7*t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004817 rounded to five decimal places?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, -2, 5, -900, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1629761 - 130.84\nAnswer: -1629891.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 960, 7093, 23674, 55947, 109156, 188545?\n\"Answer: 874*j**3 - 20*j**2 + 75*j + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -229\/47594820 and -119\/120?\nAnswer: 95189640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*k*n**3 + 16*k*v - 35*n**3 - 7*n**2*v with respect to k.\nAnswer: -5*n**3 + 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1475ba (base 16) to base 15.\nAnswer: 1b7458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32 + (-7 - 4\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51456 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 12*g = 9*g + 2285, 585 = t - 2*g. Let p = 1313 - t. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3 = 17. Let o be (2\/2)\/((-7)\/(-14)). Let k be -2 - -4*o\/6. What is the nearest to 0.1 in 1\/2, k, p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 730.4087 micrograms in tonnes?\nAnswer: 0.0000000007304087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 7 - 1)*(-4*g + g + g + (g - g + 2*g)*(2 + 3 - 7)) - 22*g - 18*g + 4*g to the form y*g + x and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(272)*-2)**2*-1.\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120 - 10. What are the prime factors of d?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**2 + 31*g + 1\/3*g**3 - 4. Calculate l(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, x: 3, n: 3}. Give prob of picking 2 x.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 6*g**2 + 7*g - 2. Let u be i(5). Find the second derivative of u*p - 3*p**2 + 2 - p**2 - 2 wrt p.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-27)\/15 + 2). Let z be (-1 - -5)\/(c + -4). Factor 2*v - 10*v**2 + z*v**3 + 4 - 6*v**3 + 0*v + 6*v**4.\nAnswer: 2*(v - 1)**2*(v + 1)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 equal to 1\/6929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 - (3 - -4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1012 = -12*f - 182. Calculate the remainder when 594 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10927 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3570)\/476 - -1*7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -30. Which is bigger: q or -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2 + 8*p. Suppose 5 + 4 = -d - 3*o, 2*o - 8 = 4*d. Let v(n) be the second derivative of n**4\/12 - n**3\/2 + 2*n. Calculate d*y(f) - 8*v(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 818700281?\nAnswer: 7, 16708169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*w + 2*w. Let i = 9 + w. Let o(m) = -7*m. Let z be o(-1). What is the highest common divisor of z and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -37*h + 93. Let f be l(-5). Suppose 2*s + 5*d - f = 0, 5*d + 4 + 150 = s. What is the remainder when s is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*b + 10 = 0, 11*b + 24 = 4*i + 15*b. Suppose 2*s - 5*s = -204. What is the smallest common multiple of s and i?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24174925 to the power of 1\/2, to the nearest integer?\nAnswer: 4917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 7*g + 5, -3*k + 3*g - 3 = 0. What is the hundreds digit of k + (5 - 4) + 214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, d: 1}. What is prob of sequence ndn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 11:28 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 11. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 59 + 22 + -47?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**4\/3 + 10096*r**3\/3 - 12751244*r**2\/3 + 8490736*r - 4243686 = 0.\nAnswer: 1, 2523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -141*z - 107 wrt z?\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 4. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397*n - 159*n - 368*n + 88*n + 147*n + 1 - n**2.\nAnswer: -n**2 - 689*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - l - 7, 1 = -2*w + l - 10. Let f = 13 + w. Let r = f - 2. Let m(h) = -h**3 + 4*h**2 + 6*h - 6. Calculate m(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(17 + -14) + -15. Solve 0 = 2*g - p*x - 1, 29*g = 33*g - 5*x - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6366 + 6370. Which is the biggest value? (a) g (b) -230 (c) 5 (d) 2\/17 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117*5.\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -a - 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87 - -215. What is the highest common factor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021201012 + -10?\nAnswer: 1021201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -441*j**3 + 6*j**2 + 6*j + 12. Let m(s) = -46746*s**3 + 637*s**2 + 637*s + 1274. Determine 637*g(t) - 6*m(t).\nAnswer: -441*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**4 + 30*l**3 + 234*l**2 + 3894*l - 40 wrt l?\nAnswer: -48*l**2 + 180*l + 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -90*m + 150. Let d be z(-17). Calculate the greatest common divisor of d and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1 - 8 - 26*v + 10 - v.\nAnswer: -27*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67282395.\nAnswer: 3, 5, 197, 22769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by 3345.\nAnswer: 27\/1115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -160*h - 25754. Give f(-161).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -15 - (-267 + 300)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 75.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 940 divided by -188\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -8. Factor 8*c**3 - 4*c**5 - o*c + 16 - 16.\nAnswer: -4*c*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 121853951 and 0.1.\nAnswer: 12185395.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14)\/(-35) + 104\/(-210))\/(16\/408). Which is the closest to 1? (a) -2\/9 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127269, -127304, -127339, -127374?\nAnswer: -127409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173803, 173804, 173805, 173806?\nAnswer: 173807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 4*z**2 + 2*z - 6. Let u be j(4). Let b(d) = 2*d**3 - d**2 + 1. What are the prime factors of b(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -131285 and 0.122569772.\nAnswer: -131284.877430228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/4700*(-1)\/(-2)?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 171 and 425809?\nAnswer: 3832281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 52210.39ml?\nAnswer: 52.21039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*d - 12 = 0, 0*z + d - 1 = -2*z. Solve 2*w = 6*x - x - z, 0 = -w - 5*x + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(700) + (sqrt(7) - ((sqrt(63))**2*-5 + sqrt(7))) + -3.\nAnswer: -10*sqrt(7) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/11 and -29\/365?\nAnswer: 4015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2452 - 2442. What is the remainder when 1829 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -130b2a6?\nAnswer: 130b2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -39861.\nAnswer: 39856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/9))\/(g*g\/g**2*g)*(g**1\/g)**(2\/47))\/((g**6\/g**2)\/(g*g**(-1\/4))**(-29)) assuming g is positive.\nAnswer: g**(-919\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000902641377 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 9. Let m = 12 + -8. What is the closest to 1 in m, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 2. Suppose 5*i + 7 + 23 = 0. Let f be j(i). Which is the third smallest value? (a) f (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*a**3*d**2 + 753*a**3*d + 7*a**2*d**2 wrt d.\nAnswer: -28*a**3 + 14*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -24. Let d(m) = -2*m + 1. Let y be d(a). Is 12570\/50 - 2\/y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - w - 4. Let j be n(-2). Let k = 0 + 2. Is k <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, 4, -5 in ascending order.\nAnswer: -5, -3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/6))\/(u**(-7)\/u))\/(u*u**3)**(-47\/3) assuming u is positive.\nAnswer: u**(143\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 57 - 14*t**2 - 168 + 55.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from loloolo. Give prob of sequence olo.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1, -10, -29, -64, -121, -206, -325, -484?\n\"Answer: -q**3 + q**2 - 5*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 + -3 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, a: 3, d: 1, r: 2}. What is prob of picking 2 m and 2 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/680 and -129\/230.\nAnswer: 15640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -176*f**2 - 3*f**3 - 24*f + 154*f**2 + 2*f**3 - 25. Let u be d(-21). What is the highest common factor of 38 and u?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 315 - 600. Let v = g - -299. What is the smallest common multiple of 630 and v?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147 - -587\/4. What is the third smallest value in 0, d, -2, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2925 is divided by 583.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/((6\/(-63)*3)\/((-1)\/7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3*u = -8, -22*r + 19*r + 2*u = 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(475) + 4 + sqrt(475)*-2 + -5)**2 - -3*(sqrt(475) + -5 + 1 + sqrt(475))) + -4).\nAnswer: -1380 - 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0.5, -10, 1\/3, -2\/15 in decreasing order.\nAnswer: 0.5, 1\/3, -2\/15, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 - 19 = 3*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i = 238 - 213 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -169614 at least as big as -169615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/50 and -99\/2720?\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 979*s**2 - 112*s - 1159. Is i(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(63\/30)*(-2)\/140*7.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32278*l**3 + 64693*l**3 - 32333*l**3.\nAnswer: 82*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28245*r**2 - 8*r**3 - 28245*r**2 + 14*r**3 + 112*r**3.\nAnswer: 118*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 4*m - 74. Suppose 5*r = -4 + m. Suppose 2*i + 224003 = -l, -2*i + r*i + 559991 = 3*l. What is i rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, -4, -17\/15?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -2 + (-48)\/(-4). Let y be (-225)\/35 - i\/(-21). Let v = 8 + y. Put 5, -5, v in decreasing order.\nAnswer: 5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = -1. Suppose u + j = 4*u. Factor -138*r**u + 8*r**3 + 138*r**2 + 4*r**5 + 12*r**4.\nAnswer: 4*r**3*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98795*r**2 - 2 - 291*r**3 - 98795*r**2.\nAnswer: -291*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 (base 9) in base 3?\nAnswer: -22002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73166 - 73162. Determine i so that 5\/2 + 8*i + 9*i**2 + 1\/2*i**4 + y*i**3 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9831*n**5 + 2*n**3*r**3 - 2*n*r**3 - 2*n*r**2 - 96232*n wrt n.\nAnswer: 196620*n**3 + 12*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 304, 0, 0.5, -2, 3, -1\/75992?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.1. Let q = -14 - -13.5. Which is the closest to f? (a) q (b) -2 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/(-9)*-3*(0 - -1). Calculate the common denominator of 1\/28 and ((-231)\/n)\/(5\/(-2)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38947 divided by 493?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnp when three letters picked without replacement from {p: 11, n: 9}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**4 + 4*t**3 - 6*t**2 + t + 1. Let v(c) = c**4 + c**2 + c - 1. Let l(x) = -q(x) - v(x). Factor l(z).\nAnswer: z*(z - 2)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*p + 17*p - 7*p - 36*p as a*p + c and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -0.3. Let p = 9 + 0. Let d be p\/(-15) + 11\/10. Which is the closest to d? (a) 0.4 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 25*b + 630 = 20*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2839 (base 10) in base 8?\nAnswer: 5427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -185, -1293, -4297, -10145, -19785?\n\"Answer: -158*s**3 - 2*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -54\/353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l - 3. Let o be d(2). Solve 0 = -o*p + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5a - -6ba?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r = 15*r + 428652. What is the tens digit of ((r\/12)\/(-27))\/(6\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 34 (b) 1\/5 (c) -0.4 (d) -98 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnvavqanqvpx. Give prob of sequence xaqv.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 5*i**4\/24 - 23*i**3\/6 - 3*i**2. List the prime factors of h(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8678 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 1 - (335 - 335)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2230130112 + -1?\nAnswer: -2230130113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 83492163773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.089 - -62.089. Let o = f - 67. Suppose d + 5*b = -24, 0*d - 2*d = -3*b - 17. What is the closest to d in o, 0.16, -1\/3?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 9. Let w(k) = 8*k - 78. Let o(p) = 52*f(p) - 6*w(p). Let r(l) = -l - 15. Let j(z) = -3. Let d(t) = 15*j(t) - 3*r(t). What is o(d(s))?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 10 - 5) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.4 + 0.956?\nAnswer: 49.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d - d**3 + 2*d + 3*d**3 - 13*d + d**2 - 11*d**4 + 2 to the form y*d**4 + f*d + x + w*d**3 + t*d**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151b (base 14) in base 10?\nAnswer: 42165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 2*k + 10. Let a be j(7). Let w = a + -78. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1101 + 791 = 11*v. Which is greater: 169 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 3}. Give prob of sequence jt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-3)\/(-192)) - 1. Suppose -3*n + 0*n = -66. Calculate the remainder when 103 is divided by n\/(-33) + u\/(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.045.\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/(m*m\/(m\/((m**(-3)*m)\/m))*m))*m))\/m*m**4\/m*m\/(m\/m**(1\/4))*m*m*m**(2\/5))**(-1\/23) assuming m is positive.\nAnswer: m**(-113\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**3 + 19*t**2 + 37*t - 102. Does 18 divide v(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -1. Let w be ((-12)\/(-30))\/(t\/(-30)). Suppose -2*u + w = y, -y + 2*u = 6*u - 16. What is the remainder when y is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.453966 nanograms in grams?\nAnswer: 0.000000003453966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 65032.67 days?\nAnswer: 5618822688000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -71 * -29\nAnswer: 2059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5200) - -4*sqrt(5200)*4) + 5 - -3*(sqrt(3328) + (-4 + sqrt(3328))*-6 - sqrt(3328)))**2.\nAnswer: 8008*sqrt(13) + 41081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**8\/84 - 4*y**7\/35 - 4*y**6\/15 + 2*y**5\/15 + 3*y**4\/2 + 8*y**3\/3 + 47*y**2. Find x, given that h(x) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29066485?\nAnswer: 5, 7, 19, 109, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f + 3*f**2 + 4*f. Let m(i) be the first derivative of 0*i + 0*i**2 + 2\/3*i**3 + 11. What is y(m(s))?\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 24 = -2*t - t, -3*t = -9. Suppose z + z = h - 14, 4*z = k*h - 46. Let b be (-2)\/h - (-16)\/3. Solve -b*r = -3*y + 3, -r = r - 5*y + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205891 is divided by 1078?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -25, 44, 9 in ascending order.\nAnswer: -25, -3, 9, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 - 3*k**2 - 2*k. Let h be v(-3). Does 7 divide h + (0\/2)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173979 is divided by 1596.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7369 in -4, 0.3, 1\/3, 1\/5, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/24)\/((-154)\/880)*(-12)\/5?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 299, 444, 585?\nAnswer: 722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7\/9, -1\/3, -0.8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 8, -4*m + m - 3*q = -18. Suppose -4*i - 5*t = 2, 8 = 2*t + m*t. What is the closest to -2 in 0.07, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (880\/40)\/((-38)\/(-57))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11437297738 - -13203.\nAnswer: -11437284535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 957 = 20034*a - 20001*a for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 80*w**2 - 4*w + 93. Let v(b) = -128*b**2. Give d(v(r)).\nAnswer: 1310720*r**4 + 512*r**2 + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 308063*x**2 + 308043*x**2 + 3*x - 4*x as o + g*x + n*x**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 6. Is t less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 2*m + 198. What is the remainder when m is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*14\/(112\/60)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 12 = 4*q, -55*i + 12 = -51*i. Which is the biggest value? (a) 16 (b) -19 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a7 (base 14) in base 2?\nAnswer: 1011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1627 and -0.3.\nAnswer: 488.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 438 + -437. Solve g + 3*q - 10 + l = 0, 0 = 2*g + q - 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 886*y**3 - 432*y**3 - 456*y**3 - 8*y - 72 as k*y + w + l*y**2 + r*y**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147 + 289. Suppose 5*z + 10*q - 9*q - 25 = 0, 50 = 5*z - 4*q. What is the least common multiple of k and z?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 1046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + p = -19 - 8, 2*p = -4. Let g = -5 - t. Let j be 2 - (-4 - (-2 - g)). Solve 9 = j*c - c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -383*t - 17. Let m(v) = -115*v - 6. Let h(f) = -10*m(f) + 3*w(f). Suppose 32 = -0*g - 4*g. Give h(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -18, -125, -76 in descending order.\nAnswer: 4, -4, -18, -76, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -161 + 171. Suppose -x = 5*p + 3*x - 26, -5*p - 3*x + 22 = 0. Solve 5*y - 17 = -4*l, p*y = -2*l + g - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - d + 6 = -6*d, -5*n + 10 = 3*d. Suppose -s + 4395 = n*s. Suppose 5*i - s = -410. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 14*k - 16. Let g(j) = j**2 - 11*j + 15. Calculate 3*b(l) + 4*g(l).\nAnswer: l**2 - 2*l + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-5)\/2*3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 24, -5, -6, 1, 2, -1 in decreasing order.\nAnswer: 59, 24, 2, 1, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*k + 40. Solve -a = -5, -2*g + 6*a - 30 = k*a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 254 in 2, -0.03, -9, -5, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.055 - -0.055. Which is the second smallest value? (a) -2 (b) u (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 33 = -13. Let c(q) = q**2 + q - 2. What are the prime factors of c(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 22. Calculate the remainder when 29 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 111 + 96 - 5*q**3 - 249. Let f(y) = -2*y. Determine f(m(k)).\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + p - 32 = 3*d, 2*d = 5*p + 71. What is the lowest common multiple of d and 1284\/54 + (0 - 6\/(-27))?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -138 * -218968.\nAnswer: 30217584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -743*n**4 + 199*n wrt n?\nAnswer: -8916*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-15) - (-16)\/10. Suppose 3*k = -a*k. Let w = 9 + k. Solve -x + r = 0, 4*x + 3*r + 5 + w = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37371950 divided by 106777?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 512*c + 7560.\nAnswer: -2*(c - 14)*(c + 270)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -x - 15*k, 1002*x - 997*x - 30*k = -115 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 - 32. What is the greatest common divisor of c and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8 - 5 + 26 + l - 10 + l**2. Suppose 0 = 2*b - 5*b - 12. Let p(s) = s**2 + s + 2. What is b*d(o) + 5*p(o)?\nAnswer: o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -893\/40 + 207\/10. Calculate the common denominator of 109\/850 and v.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234881453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/26? (a) 4 (b) -2 (c) 80\/3 (d) -0.2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -38, -30, -4, 46, 126, 242?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -465, -1930, -4365, -7770, -12145, -17490?\nAnswer: -23805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 4. Suppose -3*h + 4 = v + 2, -3*v - 2*h = -20. What is the smallest common multiple of v and u(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 - 66.5. What is the closest to 3 in 5, 0.2, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2770*m**3 + 2762*m**3 - 3*m + 0*m.\nAnswer: -8*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*f**3 - 518*f**2 + 406*f + 102.\nAnswer: 2*(f - 51)*(f - 1)*(5*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 589, 568, 533, 478, 397, 284, 133, -62?\n\"Answer: -z**3 - z**2 - 11*z + 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**5\/20 + w**4\/3 - w**3\/3 + 3*w**2\/2 - 4*w + 1. Let u(v) be the first derivative of i(v). Let l = 8 + -5. What is u(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7965 and 4385175.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1824.19 * -2.78\nAnswer: -5071.2482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*q + 221 = -8*q, 3*q - 15 = 0. What are the prime factors of b?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -918, 6\/5, -350?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.061 - -0.055. Let l = m + -0.12. Let g = -10.504 - l. What is g rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**2 - 3. Let m(q) = 6*q + 2*q - 6*q. Give m(a(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1336\/6105 < -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f**3 + 8*f**2 - f + 5. Let q(w) = -7*w**3 - 7*w**2 + 2*w - 4. Let g(i) = -4*j(i) - 5*q(i). Factor g(k).\nAnswer: 3*k*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62590448 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -6 - ((-24)\/(-39) - -7). Suppose 0 = 3*x - 5*x - 2. Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) - -1*sqrt(102))*1) + sqrt(102) + (2*3*sqrt(102) - sqrt(102)) + sqrt(102))\/((-2*sqrt(384) - sqrt(6) - sqrt(864)*-2)*6).\nAnswer: sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4871703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -3*g + y - 27, -4*g - 3*y = 32 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 162*p - 13. Let u(s) = 70*s - 6. Let o(j) = 7*u(j) - 3*w(j). Let a(g) = 3*g - 2. Calculate 5*a(z) - 4*o(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -59. Let h = r - -78. Suppose 3*j + s - h = 0, s = j + 3*s - 32. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*10092.91\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 29*c**4\/4 - 5*c**3\/3 + 4*c**2 - 15*c + 207. Is x(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -0.155858?\nAnswer: -0.623432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 48.999872. Round i to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*q + 2 + 27, 4*i = -3*q - 116. Let c be ((-1)\/((-9)\/(-4)))\/((-236)\/2124). Sort 1, c, i in descending order.\nAnswer: c, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - i - 158 = -6*i, -4*s - 15*i + 28*i + 206 = 22*i for s.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = 2*n - 24. What is the second smallest value in n, 18, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**0\/s)**(-31)\/((s\/(s\/(s*s**(7\/2))))\/(s**7\/s)))**(-13))**20 assuming s is positive.\nAnswer: s**(-8450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjf when three letters picked without replacement from {f: 5, j: 11}?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47450464.\nAnswer: 2, 1482827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 39822276 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 + 37. Let t = 14.5 - 14. Which is the second smallest value? (a) t (b) -0.5 (c) 3\/5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/3*12\/20. Suppose -6 = i*r - r, -2*p - 4*r = -228. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 - 7*i + 4. Let w(h) = -7*h + 0 - 2 - h**2 + 10*h. What is -2*b(x) - 5*w(x)?\nAnswer: -x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -77 in -1\/18, 3, -2, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*b - b. Let v = -6 - -7. Suppose 0 = 2*o - 5*k - v, 5*o - o - 17 = -5*k. Solve -b*h + o = -0*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/324*(20 - 15).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 + -1.2. Which is the third biggest value? (a) v (b) -1\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 29*s. Let a(i) = 4*i. Let k(g) = -28*a(g) + 4*c(g). Let p(z) = 13*z - 35*z + 13*z + 7*z. Give p(k(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**4\/4 + 7*r**3\/3 - 6*r**2 - 25*r + 3671. Calculate f(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33\/8, -20.73, 5 in decreasing order.\nAnswer: 5, -33\/8, -20.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 7*w**2\/2 - 3*w - 714. Let r(c) = 15*c - 5. Calculate 3*r(z) - 5*x(z).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -155473 * -84\nAnswer: 13059732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*j*p**3 + 89*j*p + j - 17054*p**3 - 2*p**2 + 12*p + 24 wrt p.\nAnswer: 330*j - 102324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 222 + -1524002?\nAnswer: -1523340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Let h = -0.8 - -4.8. Let v = h - 3. Which is the biggest value? (a) m (b) 1\/8 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -128, -209, -326, -491, -716?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 19*n**3 - 2*n**2 - n + 2. Let l be h(1). Suppose -2*m + l + 0 = 0. What is the remainder when 25 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dklaaad. What is prob of picking 2 d, 1 k, and 1 a?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25755, -25736, -25741, -25782, -25871, -26020, -26241, -26546?\n\"Answer: -2*r**3 + 33*r - 25786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - -1) + (663 - 673)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 12) in base 13?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8590 take away 0.2?\nAnswer: -8590.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 70 = -27*v - 45, -v - 38 = 4*l - 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1027771465 - -0.5.\nAnswer: 1027771465.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 1. Let u be d(-5). Let k = u + -2. Suppose -4*i = x + 2, k*x = -3*i - 5 + 36. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -296 (base 15) to base 10\nAnswer: -591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 18 = 2*s, 3*s + 2*p + 10 + 4 = 0. Let t be (-255)\/15 + 0 + 1 + 3. Let c(j) = 2*j**2 - 17*j. Let g(x) = -x**2 + 8*x. Calculate s*c(l) + t*g(l).\nAnswer: l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1091 - 1351. What is k rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*t - 33 + 1 = 0, -2*u + 5*t = -4. Suppose l + p - 13 = 0, 23 = 2*l + 2*p + 3*p. Calculate the lowest common multiple of u and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s. Suppose 2*f - 5*v - 2 = -16, 0 = 5*f + v + 8. Let p be h(f). Let t = p - -4. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59.6, 2\/7, -2\/5.\nAnswer: -59.6, -2\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -5\/2 (c) -0.42 (d) 1\/4 (e) 4 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.502 + -2.502. What is the third biggest value in n, -5, 3\/2, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3182 is divided by 292.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2. Let f(m) = -2*m. Suppose -q + 2*q - 6 = 0. Let j(z) = -2*z. Let h(l) = q*j(l) - 5*f(l). Give h(v(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29*84\/13398*-209.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 383162747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -296975.95.\nAnswer: 29697.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 146638587?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w + 11*w. Suppose -16*j + 8*j + 47368 = w. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100111010 - 10001000010110111?\nAnswer: -10001100111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -969*g + 586. What is the tens digit of w(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.5, 2\/7, -15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 351154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, 293, 326, 361, 398?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12109083 is divided by 2659?\nAnswer: 2656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 1)*(3*t + 4*t + 4*t) + 2*t + t - 2*t.\nAnswer: -54*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8278*n - 282117 = 597975 - 60570 for n.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5672713231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.46 plus 4?\nAnswer: 19.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -212225 + -3?\nAnswer: -212228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.7, 8\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 2:47 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 35*y + 1751. What is b(-28)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -8602 and -8602 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 3 - (1 + (21 - 5))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-15)*(1 - 1). Suppose 3*k - 6*k + 12 = a. Suppose 9 = b + k*n - 14, 0 = 4*n. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - 90\/(-18 + 8). Solve -o*z + 3*z = -6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -47. What is the derivative of 15 - k*a**4 - 3*a**4 - a**4 - 1 wrt a?\nAnswer: -52*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2343066.18 rounded to the nearest ten thousand?\nAnswer: 2340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.02 to zero decimal places.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5*m. Let u be (m - (-4)\/3)*(-36)\/(-8). Solve w - u = -2*d, -15 = d - 4*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*(4*p + 0*p - 6*p) + 6*p - 24*p - 5*p - 23*p - 20*p - 12*p to the form g*p + c and give g.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2))\/f)**42*(f*f\/f**(1\/6))**(-49) assuming f is positive.\nAnswer: f**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 12 - 1)*(-19*s**2 + 11 - 11).\nAnswer: -380*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 191793134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11\/5, -1\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -10*d**2 - 1. Let l be z(3). Let m = l + 137. Let x = m + -46. Solve -5*f - 3*w + 21 = -7*w, x = -2*f + 5*w + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/(3\/(-19)))\/((-1)\/(-30)).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 6. Let w be z(-4). Suppose -3*f + 25 = -w*x + 2*f, 25 = x + 5*f. Let t = 1156 + -1153. Solve -c = t*m + 2, x = -2*c - 3*m - 2*m - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37.39 + -36.2. Put -2\/5, 2, w in descending order.\nAnswer: 2, w, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 48516301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 276 - 178. Suppose 2*i - 58 = -2*o - 0*o, 0 = 4*o - 16. Calculate the remainder when h is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2935, -7, 1, 35, -5 in ascending order.\nAnswer: -2935, -7, -5, -3, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -201*z**6\/8 + 427*z**4\/24 - 5*z**3\/6 - 2935*z**2. Find the second derivative of g(s) wrt s.\nAnswer: -18090*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618788.\nAnswer: 2, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*n + 217*n = 78 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 + -97. Which is the third smallest value? (a) -2\/7 (b) -0.5 (c) p (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 6. Let g = -11.4 + 10. Let k = g + 0.4. Which is the second smallest value? (a) k (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 7)*(-21538*o**5 + 11282*o**5 + 11030*o**5).\nAnswer: -5418*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 61977908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 22. Suppose 0 = -0*b - a*b + 833. Calculate the highest common factor of 17 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*u = 104, 0*u = 5*g - 3*u - 116. Suppose -3*s + 2 = -3*o - s, -3*o - 4*s = -g. Does 15 divide (-93)\/o*20\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-15)\/110)*1. Let r = 28 - a. Let o be 1 + 4\/4 - -13. What is the greatest common factor of r and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**5\/60 - 5*l**4\/24 + l**3\/3 + 4*l**2. What is the tens digit of p(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2634 = -7*f + f. Suppose 2*k = 4*k - 4*o - 294, 0 = -3*k + 4*o + f. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2417 and 4616.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 + 80 - (-2 + -1 + (-1 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 2*x + 5. Let j be l(4). Let g(p) = -2*p**3 + p + 3*p**3 - 2*p - 5 + 1. Let n be g(0). Which is smaller: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -123862709583803?\nAnswer: -123862709583803.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 967*o**3 - 4*o**2 + o + 3. What is the tens digit of t(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -306613 + -1304?\nAnswer: -311220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**3 - 10*m**2 - m + 12. Let r(g) = -g**3 - g**2 + g + 1. Let x(p) = -5*r(p) + s(p). Let h = -1 + 7. Give x(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000010100001011 + -110110110?\nAnswer: -1000000011011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3058667712?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**4 - 4*a**3 - a**2 + 2*a - 1. Let s(h) = -11*h**4 - 38*h**3 - 10*h**2 + 657*h - 7193. Let n(y) = -10*m(y) + s(y). Differentiate n(q) wrt q.\nAnswer: -4*q**3 + 6*q**2 + 637","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -6*a - 4*t + 16, 5*a = -t + 24. Solve a*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00032558 rounded to 5 decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 519996874 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1528934 + 1528934 + 557*h)*(-2 + 2 - 2*h)*(3 + 0 - 4)*(h**2 + 4 - 4) in the form g*h**4 + x*h**2 + c*h**3 + k + t*h and give g.\nAnswer: 1114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37.25 - -1358.\nAnswer: 1395.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-84)\/189 + 424\/(-180). Sort -2, 2, 2\/7, r.\nAnswer: r, -2, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -176 - -150.6. Let y = 17 + k. Let d = y + 5.4. Sort 3, d, -0.05.\nAnswer: d, -0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*k, -36 = -5*l + l - k. What is the remainder when 44 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 1)\/((-13)\/2). Let h be 42\/(-385)*45\/27. What is the closest to -0.1 in h, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 21*f**2 - 46*f - 750. What is c(-17)?\nAnswer: 1188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-3 + 5 + -1). Let j(k) = c - 1 - 4*k + 2*k. Let s(p) = -p. Calculate j(s(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-28)*(-140)\/18 + (-2)\/18\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/3, 0.4, -0.4, 0.07?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1741 + 8338. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66313 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50794366?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 - 3*f - 2. Let u be p(3). Let l = u + 43. Calculate the least common multiple of l and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000953473914 rounded to seven dps?\nAnswer: 0.0000953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2 - q**2 + 9*q - 2 - 2*q. Let g be m(5). What is the units digit of (10 - g\/3) + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 6*g + 3*g)*(189 - 88 + 125 - 52 + 297).\nAnswer: 3297*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12075303.\nAnswer: 3, 43, 93607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 67 - 179 = 0. What is the highest common factor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oowoopnpowoj. What is prob of picking 1 p, 1 o, 1 w, and 1 n?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 640 and 8140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2 - 3. Let k be (2 - 4)*(0 - w). Suppose -k*g - 2 = -5*s, -3 = 5*g + 5*s - 33. Solve 0 = -i - g - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.071155 times 3908\nAnswer: -278.07374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -867, -446, 255, 1242, 2521?\nAnswer: 4098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 2*p**2 - p - 2. Suppose 20 = 2*h + 12. Suppose h*c = c + 6. Determine m(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**8\/90720 - s**7\/22680 - s**5\/30 + 2*s**2. Let f(l) be the third derivative of v(l). Factor f(i).\nAnswer: 2*i*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -5616, -1, -2 in increasing order.\nAnswer: -5616, -3, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) - (-34)\/8. Let q(l) = 7*l - 4. Let g be 3 + 46 - 6\/18*0. Let u(w) = -g*w - 13904 + 2*w + 13937 - 10*w. Give k*u(p) + 33*q(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.30001 + 0.00001. Which is the fourth biggest value? (a) -1\/5 (b) n (c) -2 (d) 3 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - c**2 - c**2)*(1191 - 266 - 293).\nAnswer: -632*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1940294, 1940293, 1940292, 1940291?\n\"Answer: -w + 1940295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1955961 divided by -122.\nAnswer: 1955961\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1310 + 1315. Sort 4\/3, w, -33 in decreasing order.\nAnswer: w, 4\/3, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4295 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: Which is smaller: -452 or 0?\nAnswer: -452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 85331329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 + 9.239\nAnswer: 9.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.75 - -10.5. Let g = -0.15 - v. Let r be 6\/(-27) - 136\/(-450). Put -4, -5, g, r in decreasing order.\nAnswer: g, r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -675 divided by -9.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11332 - -40145. What are the prime factors of o?\nAnswer: 3, 17159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10503 - -0.2123.\nAnswer: -10502.7877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -471, -1891, -4257, -7569?\n\"Answer: -473*v**2 - v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + k**2 - 3*k**2)*(1 - k - 1) - k**3 + k**3 - k**3 + 325*k**3 + 2573*k**3 - 530*k**3.\nAnswer: 2366*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482525 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-1\/2)*s**(-8)*s*(s**2)**22 assuming s is positive.\nAnswer: s**(77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 9:58 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6463, -6468, -6489, -6532, -6603, -6708, -6853?\n\"Answer: -c**3 - 2*c**2 + 8*c - 6468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -41468271 to the nearest one hundred thousand.\nAnswer: -41500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**5\/60 + 5*p**4\/6 - 4*p**3 - 27*p**2\/2 + 93. Let z(b) be the second derivative of y(b). Calculate z(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*w + 6. Let m(t) be the third derivative of t**4\/3 - t**3\/2 + 4*t**2. Is m(w) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3*(sqrt(1053) - sqrt(1053)*2)**2 - (2 + (sqrt(1053)*1 - sqrt(1053))**2)))*3.\nAnswer: 9456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3680000 to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3084\/(-13878))\/(5*(-2)\/(-4)).\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80017437 by 3479019.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6784 - 273. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*u + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 y, 1 c, and 1 l when four letters picked without replacement from {p: 3, y: 2, c: 1, l: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 182615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2438 and 0.03.\nAnswer: 73.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 158697\/20 - 7934. Let v(p) be the second derivative of 0*p**4 + 0 - 17*p - j*p**5 + 0*p**3 - 1\/2*p**2. Determine v(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/5)\/(r**19\/r)*r**(-1\/6)*r**7 assuming r is positive.\nAnswer: r**(-347\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 465 by -315.\nAnswer: -31\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1724.21 + 1720.21. Let u be (-2)\/(-7) - (-58)\/(-56). What is the nearest to 1 in u, 2\/9, -2\/3, d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22651 divided by 879?\nAnswer: 22651\/879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 606336751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 2*r - 1. Let t be ((-1 + 2)*-1)\/(1\/(-3)). Let p be a(t). Let i(y) = -y**2 + 20*y - 50. Let w be i(3). Solve -p*h = w + 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**3\/13 + 230*o**2\/13 - 3942*o\/13 - 13950\/13 = 0.\nAnswer: -3, 25, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7130 and 586086.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*k**3 + 75*k**3 + 0 + 73*k**3 + 7 + 77*k**3 - 7.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6379 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*c + 1548, -32*t - 3*c = -36*t + 3081. Does 55 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*t)*(-2 + 5 - 2) + 8*t - 11*t + 11*t + 32 - 177 - 2*t + 74.\nAnswer: 4*t - 71","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3791542 (base 10) to base 11.\nAnswer: 215a707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 = 6. Let h = -6 - g. What is the remainder when 4 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -52*w + 10. Let d(h) = -h**2. Determine p(d(v)).\nAnswer: 52*v**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**3 + 5*u**2 - 6*u. Let z(h) be the second derivative of h**5\/20 - h**4\/12 + h**3\/6 + 3*h. What is -q(k) - 6*z(k)?\nAnswer: -k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 18 = 4*z - 3*x, 3 = z + 2*x. Let k(s) = s + 5. Let f be k(z). Suppose -n + 32 = -f. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 40. Solve -3*j - 4*s - 2 = a, j + 2*j + 5*s = -4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2175 is divided by 1059?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.89098\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m + 497. Let a(l) = 22*l + 991. Determine -2*a(s) + 5*y(s).\nAnswer: s + 503","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/((-1377)\/54))\/(((-24)\/15)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 84*g**5 + 21412*g**4 + 748164*g**3 + 9312108*g**2 + 38968696*g - 3796416 = 0.\nAnswer: -216, -13, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15076.0000004358 - -15076. Round k to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*(-396)\/(-1089)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -81\/206, -0.3, -0.32?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Suppose 5*s = 3*s - 3*v + 34, z = s + 5*v - 24. What is the lowest common multiple of 22 and s?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 650953*a**5 + a**4 + 2*a**3 - 40700908*a?\nAnswer: 13019060*a**3 + 12*a**2 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -941, -1673, -2095, -2207, -2009, -1501, -683?\n\"Answer: 155*c**2 - 1197*c + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3993) - 2*sqrt(3993))*-4*-1)\/(sqrt(24)\/sqrt(2) + sqrt(6)\/sqrt(32)).\nAnswer: -176*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3239 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-12))\/(12*(-13)\/2496)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 1 (c) 670 (d) -0.5 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 94\/35?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) - 32\/30. Let c = -1\/15 + 49\/60. Let t = 22 + -89\/4. What is the third biggest value in r, t, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 25*d + 155. Let t(a) = a**3 - 4*a**2 + 4*a - 9. Let v be t(3). Let f be p(v). Solve 18 = f*b + 23 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*w + 183 = -95*w. Let a = 129 - w. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20395 times 0.5?\nAnswer: 10197.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pypyyyppyyypppyppyyy. Give prob of picking 2 p.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 24*s + 124. Let v be r(-12). Let a = -57 - v. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 + 2*a**4 - 110 + 2*a + 270 - 126 + a**4 + 2*a**2 to m*a**2 + b + n*a + j*a**4 + w*a**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 2*v**2 + 3*v + 3. Let c be o(3). Let w be 0 - (12 - (c + -4)). Let i = w + 21. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/7, 89, -30, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 1:01 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.02, -0.03, -0.01, -2\/5, -0.05, 0?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -r - 12 - 78, 0 = -5*r + 15. List the prime factors of v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 448 and 1991238592?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/8 and -53\/8199.\nAnswer: 65592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.079 + -0.079. Let l = -8 + g. Let a = -1.99 - 0.01. What is the closest to -2\/9 in l, 2, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101760 a multiple of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 1)\/((-12)\/1590). Suppose 2*s + 3*s = b. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2476044 divided by 36\nAnswer: 68779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00076887 rounded to five dps?\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 1783\nAnswer: -356.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 1552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*o - 20, 2*a + 3*o + 15 = 11. Sort -3, a, 102, 5.\nAnswer: a, -3, 5, 102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(176) + sqrt(176) + 2 + -5 + -3*(sqrt(176) + -3 + sqrt(176) + -5))**2.\nAnswer: -576*sqrt(11) + 3140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56905549, 113811110, 170716673, 227622238, 284527805?\nAnswer: 341433374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -592*d + 592*d + 202*d**3 - 107*d**3.\nAnswer: 95*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + -25. Let n = -48 - u. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a millennium in years?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oiooioifiqoqooioiio.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 108 = -72. What is the remainder when (248\/(-12))\/((-2)\/9) is divided by 388\/o - 2\/6?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1073093248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10013820 and 8480?\nAnswer: 80110560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 10, 1, -21826 in descending order.\nAnswer: 10, 7, 1, -21826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 9:12 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4055.5 - -4056. Let k = -3 + -1. Which is the third smallest value? (a) k (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -10. Let m(x) = 7*x + 8*x**3 + 2*x - 7*x**3 - 7*x**2 - 6 + 0. What is the units digit of m(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 3:43 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(228)*2 + sqrt(228) - sqrt(228)) - -4*(sqrt(228) - sqrt(228)*-2))\/(-3*sqrt(48) + (sqrt(24)\/sqrt(2) + sqrt(12))*-4).\nAnswer: -sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**4\/12 + 774*r**2. Let m(g) = 38*g**2 + 9*g. What is c(m(y))?\nAnswer: -76*y**2 - 18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1802 less than or equal to 1803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-2 - (-6 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 1. Let t be z(1). Let a(c) = -c + 16. Let k be a(11). Suppose 3*v - 5*v - 20 = -4*f, 0 = -5*v + f - 23. Sort v, k, t.\nAnswer: v, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 2\/9, 2\/7, 10 in increasing order.\nAnswer: -4\/7, 2\/9, 2\/7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - -383?\nAnswer: 37b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -51 + a**2 + 16 + 27 + 10*a + 24. Let p be t(-2). Solve p = 13*r - 10*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/7 and 12\/(-16) - (12\/9)\/(-4)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(3 + -2) - -19 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and -0.00046.\nAnswer: -8.00046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -185\/4584 (b) 5 (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 15*u + 0*u + 2 to the form v*u + l and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38012 and 861118?\nAnswer: 22389068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(133)*4 - sqrt(133))*4)\/(sqrt(7) - sqrt(28)*-6).\nAnswer: -48*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2.74*-267\nAnswer: 731.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a factor of 8555652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4688454*a**3 - 6*a**2 - 62751759*a?\nAnswer: 28130724*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + 2*k. Suppose -l - 3*l - 24 = 0. Let q = -4 - l. Determine c(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 185014921 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 6 = 4*i, -27412*p + 27416*p + 25*i - 87 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1\/4, 0.47, 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-50))\/(6\/(-15))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6758, -13512, -20264, -27014, -33762?\n\"Answer: t**2 - 6757*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2 = -1. Suppose 2*r + 4 = m*r. Let l be 3 - (-3 + -2)\/5. Calculate the highest common divisor of l and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 9. Let p be v(5). Let i be 8 + (p - 2) + -4. Let q be (0 - 2) + 0 - -2. Solve q = -2*o - 4*u - i - 4, 2*o = 5*u - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 5*f**2 + 7*f + 2. Give m(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -3*g**5\/5 - 21*g**4\/4 + 2*g**3\/3 + 8*g - 149. What is the third derivative of u(m) wrt m?\nAnswer: -72*m - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v**3 + 2*v**2 - 4*v + 2. Let r be g(1). What is the third derivative of 8 - 8 - r*m**3 + 2*m**2 + 6*m wrt m?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 0)*(0 - 2 + 4) - 1 + 0 + 2 + 1 - 1 + 1 - 1 - 2 + 5 - 5 - 10 - 16)*(c**2 - c**2 + c**4 + (0*c - 3*c + c)*(-2*c**2 + 2*c**2 - 2*c**3)).\nAnswer: -145*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*t**2 - 68*t**2 - 37*t**3 + 45*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -36. Solve 0 = g*t - 3*z + 18, 3*t - 8*t + 3*z = 28 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 7*v**2 + 9*v + 9. What is the units digit of g(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) + (sqrt(2500) - 1*sqrt(2500) - sqrt(2500)))\/sqrt(5))**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 + 8*q + 21. Let o(d) = 6*d - 49. Let v be o(7). What is the units digit of p(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -540 divided by -18?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -334121, -334127, -334131, -334133, -334133, -334131?\nAnswer: -334127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k*p + 29*k*t**3 - 72*k*t + 86402*p*t**3 + 15*t**3 + 2*t**2 with respect to p.\nAnswer: 2*k + 86402*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18 - 23 - (1 + -3). Let x = 0.12 - 5.12. What is the third smallest value in g, -2\/7, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a. Let z(o) = -257*o - 1. What is m(z(k))?\nAnswer: -1028*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5950*h + 27805 - 223266 = 1961*h for h.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 6*r**2 - 42*r + 1. Let v be q(-10). Solve 27 = 2*j + v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 - 12*j - 12. Suppose -42 = -5*t + 18. Let p(k) = k**3 - 144 - 147 + 286 - 5*k. Determine t*p(l) - 5*n(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*w + 8. Suppose o - w = -0*o. Suppose -l = 2*h - 0*h + 5, 0 = o*l + 4*h. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3 = -9. Let u(n) = n**2 - 6*n + 4. Let o be u(t). Which is the nearest to 1? (a) -5 (b) -1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 120350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -330220467 - -34?\nAnswer: -330220433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15 + -18 + 6 + -1. Solve -3*t = 4*y + 23, -4*y + t + z = -t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 11.8. Suppose -3*o + 28 = 7. Let x = o + -8. Which is the nearest to 1? (a) -3 (b) u (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**5\/20 + u**3\/6 + u**2\/2 - 57*u - 1. Let o(i) = -5*i**3 - 7*i - 6. What is 2*o(q) + 14*p(q)?\nAnswer: 4*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1060 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + t**2 - 4*t - 246. Give m(0).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -n - y, 4*y = -2*n + 8. Let u(f) = -f**3 - 8*f**2 - 12*f + 13. Let r be u(-7). Suppose n*o = -o + r. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.04 - 0.04. Let o = 3.2 - 16.2. Let u = 13.1 + o. Which is the closest to -1? (a) u (b) 1\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 876*x + 1967*x + 331*x in the form i*x + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*-5*-1 - (sqrt(242) - (3 + sqrt(242))*-3) - (-4 + ((sqrt(242) + 4)*-3 - sqrt(242)) + 4))**2.\nAnswer: 330*sqrt(2) + 6059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 301, 615, 1043, 1591, 2265, 3071, 4015?\nAnswer: 5103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 3 + 1 + 1. Suppose p + 8 = -w*j, -6*p + 5*j = -2*p - 31. Suppose -2*o = -p*o. What is o rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -43, -54?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 60 = 6*z - 4*l, 0 = -3*z + l + 53. What is the second derivative of -27*x - z*x - 37*x + 122 + 4*x**2 - 123 - 26*x**4 wrt x?\nAnswer: -312*x**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/((-10)\/20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 106*r + 579. Determine z(-6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 5 - (3 + -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/4329 and -61\/148.\nAnswer: 17316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 70490897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70293 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 14. Suppose -83*w + 576 = -19*w. What is the remainder when w is divided by s(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68864 and 17216?\nAnswer: 68864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26325 and 3250.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -b7?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 38*b + 31. Let n(f) = 19*f + 15. Let v(j) = 6*c(j) - 13*n(j). Let u(m) = 9*m + 4. Give 9*u(r) + 4*v(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 833\/49 - (35\/5 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4 - 7 - 16*q**3 + 10*q**2 + 3 + 29*q - 9*q**2 wrt q?\nAnswer: -96*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22721028 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77 - -86. Suppose -b*o = -2*o - 35. Suppose -6 = -h + t, -o*h + 0*h - 3*t + 22 = 0. Solve h*q + 3*y = -10, 3*y = 2*q - 15 - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*o - 46*o - 43*o + 140*o**3 - 41*o wrt o.\nAnswer: 840*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -409060 rounded to the nearest ten thousand?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -15. Find the second derivative of z**5 - 17*z**2 + 7*z + r*z**2 wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47453973103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2 + 3*t + 0*t**2 - 8*t**2 + 6*t**2. Calculate k(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 10*q - 9. Give g(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6237 is divided by 445?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 - 2*m**2 - m + 2. Calculate the remainder when 29 is divided by t(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/12)\/(g\/g**6*g)*((g\/((g*(g*g*g\/(g\/(g*g*g**7)*g))\/g)\/g))\/g)\/(g\/g**5))\/(g*g**5*g\/(g**(-9)\/g*g))**(2\/5) assuming g is positive.\nAnswer: g**(-439\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-1 - (-16 - -9 - -12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**0)*(z*z\/(z*z**(-5)))\/z*z*(z\/(z*z**(-3)))**29)**(11\/5) assuming z is positive.\nAnswer: z**(1034\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 + 121*f\/2 - 1530.\nAnswer: -(f - 85)*(f - 36)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-105)\/(-28))\/(4 + (-30)\/8). Suppose w*o = -258 + 183. Which is the third smallest value? (a) o (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3482*d + 21022. Give v(-6).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 3*f + 8. Solve 0 = f*v - 3*k + 12, 0 = -v - 2*v + 2*k - 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 34, 4, 38, -2, -3 in descending order.\nAnswer: 38, 34, 4, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 40 + 1 = 0. Solve 0 = 3*q + 4*f + p, 4*q - 3*f + 29 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11664 and 64881?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -0.3, 5266.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 + 0*p**4 + 0*p**4)*(3 - 1 + 0) + (2*p**2 + 0*p**2 + 0*p**2)*(-2*p**2 + 4*p**2 - 3*p**2) - p**4 + 2*p**4 - 4*p**4.\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -5, -8, 2\/7, 33?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**5\/8 - 129*y**4\/8 + 23539*y**3\/8 + 71381*y**2\/8 + 35817*y\/4 + 2990 = 0.\nAnswer: -230, -1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -288*18\nAnswer: -5184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3 + 9*o**2 - 21*o - 245 = 0. Calculate o.\nAnswer: -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-26 + 53) - (-49 - -20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2425 in 1\/3, -78, -0.02, -2\/15, -2?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -40*((-702)\/24 - 0). Suppose -23*z + p = -13*z. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2\/5 (b) -5 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 458481367, 916962735, 1375444103, 1833925471, 2292406839?\n\"Answer: 458481368*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 33 + 1)*(19*n**2 - 19*n**2 + 2*n**3)*(-n + 1 - 1).\nAnswer: 112*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/4 and (-3 - -3) + (-364)\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66.87 - -65.87. Which is greater: -44.46 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5285.\nAnswer: 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 + 195*r - 11. Is p(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0056 + 0.0056. Let q = 30\/209 + -1\/19. What is the nearest to y in -0.5, q, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by (1\/1 - 1) + 19 + -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -378 - -530. Let w = -1100 + r. Does 25 divide 4\/(-10) - (w\/5)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3640, 4245, 5252, 6661, 8472?\nAnswer: 10685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.4 - -15. Let b = -2852 + 2852.1. Is b less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + (sqrt(68)*-1*2 - ((sqrt(68) - sqrt(68)*-2) + 4)))*2 + -4)**2*1.\nAnswer: 4560*sqrt(17) + 62644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28, 30, 32, 34?\n\"Answer: 2*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3921143572 to the nearest integer?\nAnswer: 1577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 19. Let j be 7732\/258*(-3)\/18 + 5. Is h bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 769 + -406. Which is bigger: s or 362?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 = -1. Is 9 a factor of (1 + -2 + -8)*z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4594850.82us?\nAnswer: 0.00000759730625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.147255009 rounded to 5 dps?\nAnswer: 0.14726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z*z\/(z*z*z*z*z**(2\/7)*z*z*z)*z)\/z)\/z)\/z*z)**(1\/13)*(z\/z**(-1\/4)*z)\/z**(-13) assuming z is positive.\nAnswer: z**(5403\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, 33, 173, 369, 621, 929?\nAnswer: 1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/2 + 97*f**2\/2.\nAnswer: -f**2*(f - 97)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23e (base 15) to base 10.\nAnswer: -509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxi. Give prob of picking 2 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1419289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 0 + 1\/12*c**4 + 1\/3*c**3 + c**2 + 2*c. Let g(a) be the first derivative of s(a). What is the derivative of g(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54477596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297021, 297027, 297033, 297039, 297045?\nAnswer: 297051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -167*l + 12*l**3 + 27*l**3 + 2 - 38*l**3 + 48*l - 2*l**4 to the form v*l**4 + s*l**2 + m + u*l + f*l**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4159575 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven halves of a hour?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + ((sqrt(684) + -1)**2 - sqrt(684)).\nAnswer: -18*sqrt(19) + 689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2162385 is divided by 20792.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.367 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*h + 115, 0*s + 5*h + 46 = 2*s. Suppose -4*k + s = 4*d - k, -d = -k - 4. Which is the nearest to -1\/3? (a) d (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - 735b?\nAnswer: -7350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**7\/840 + j**6\/72 + 3*j**5\/40 - j**4\/4 + j**3\/3 - 1. Let i(c) be the third derivative of w(c). Does 12 divide i(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20.6 and 57.\nAnswer: 36.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 268519*y**2 - 178502?\nAnswer: 537038*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -10. Suppose o + 3*o = 5*f - 12, 0 = f - 4*o + j. Let m = 2 + 8. What is the remainder when m is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (292*c + 12972 - 12972)*(-7*c + 5 - 5) as o*c + s*c**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2590261417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.5 - 4.5. Let n = 42 - g. Is -2\/3 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.7265 + 1570.5265. What is a rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -4. Let a be (-18)\/(-3) + (-6)\/x. Suppose s + 25 = 5*s + i, 2*i = 2*s. Put a, 1, s in decreasing order.\nAnswer: s, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -42, 1, -6762.\nAnswer: -6762, -42, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278532825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4201379, -4201380, -4201381, -4201382, -4201383, -4201384?\nAnswer: -4201385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 3*q - 201, -3*q + 0 = 15. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 57\/2 of a microgram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1100000111110100110 (base 2) to base 8\nAnswer: 1407646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 529408?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1 = -31. Let k be (-256)\/(-1) - r\/(-2). What is the highest common divisor of k and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 - 9*h**2 - 3*h + 7*h**2 - 13. What is the remainder when 5 is divided by y(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.177 + 0.023. Which is the second biggest value? (a) 5\/2 (b) 5 (c) -2\/5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -32*s - 291. Let k be c(-9). Let p = -8 + 13. What is the biggest value in k, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525605 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.53867 rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 5. Suppose -f = -3*m + 10, 4*m = -d*f + f + 24. Suppose 2*q = m*u + 84, -q + 4*u = 4*q - 186. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 28. Let o be q(-20). Let t be o\/(-3)*(-257400003)\/(-6). Let a be (-4)\/(-26) + t\/(-52). What is a rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -12. Let i = y + 26.5. Which is the third biggest value? (a) 2\/19 (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1276 and 836?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-54)\/(((-6)\/12)\/((-4)\/(-6))) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -3\/2, 1\/5.\nAnswer: -3\/2, 1\/5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express y**4 - 2*y**3 + 5 - 3*y**4 - y**4 - y**4 + 2*y**2 in the form o + h*y**4 + a*y**2 + k*y + x*y**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 156469 times 0.4?\nAnswer: 62587.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o**2 + 23*o**2 - 10*o**2 - 3*o**2.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 470 = 41. What is the remainder when a is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxp when three letters picked without replacement from {x: 8, i: 2, k: 1, e: 6, p: 1}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5*h)**(-50)*(h**(-4\/7))**(-32) assuming h is positive.\nAnswer: h**(-1972\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23633 - 23582. Solve 34*j + 119 = -s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*g - 7, -6 = 4*m + g + 1. Put 0, 2, m in decreasing order.\nAnswer: 2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 + 1666*z + 8332\/5.\nAnswer: -2*(z - 4166)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*s + 0*s - 3*s)*(3*s**4 + 0*s**4 - s**4 + (3*s + 2*s**2 - 3*s)*(2*s**2 - 4*s**2 + 3*s**2)).\nAnswer: -64*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -144221 (base 5) in base 12?\nAnswer: -36b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1329874136 by 1875704.\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 9:17 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -42. Let o = 0.06 + -0.46. Put k, o, 5 in descending order.\nAnswer: 5, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.07732069 and 42935649.\nAnswer: 42935649.07732069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 279a9245 - 4?\nAnswer: 279a9241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/13731 and 73\/9?\nAnswer: 41193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1724 by 4.\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(2*sqrt(9) + sqrt(9)))**2 - (1*sqrt(209))\/sqrt(11).\nAnswer: -sqrt(19) + 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/291941 and 71\/22995968.\nAnswer: 298947584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.57317 meters in micrometers?\nAnswer: 79573170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1853089 (base 13) to base 11\nAnswer: 4538499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*j + 253*j**4 + j**3 + 23*j + 0*j**3 + 22*j to the form z + t*j + k*j**2 + r*j**3 + q*j**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.074601 rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44138931.\nAnswer: 3, 14712977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {y: 2, i: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/111 + -3454\/1443. Find the common denominator of -48\/143 and d.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -1634*v**2 + 1659*v - 11. Determine x(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 185 - 159. What is the highest common divisor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - 109. Let i = 17 + v. Let b = i - -54. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/6 + 5*x\/2 + 6 = 0 for x.\nAnswer: -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyyiyyyyy. What is prob of picking 3 y and 1 i?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11640 and 1234.\nAnswer: 14363760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + -3)**2 - ((-2*sqrt(2))**2 + -4) - ((-2*sqrt(324) + sqrt(324))\/(1*sqrt(32)))**2)*-3.\nAnswer: -1605\/8 + 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 642*r + 5198. What is v(8)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.4 - -1.4000013. What is s rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5519952040 to the nearest 1000000.\nAnswer: -5520000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t = -41*t - 43*t + 426 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29434 or -1378?\nAnswer: 29434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2919203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-6))\/((-15)\/(-150)). What is the hundreds digit of 1695\/(-10)*(s - (-78)\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c - 10. Let t(d) = 23*d - 30. Let k(i) = -11*l(i) + 4*t(i). Let p be k(3). Let b(m) = 9*m - 26. Let x be b(3). Solve p*n + x = 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, v: 3, t: 2, d: 1, n: 1, h: 3}. Give prob of sequence hoh.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.49 times -46\nAnswer: -22.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -938*0.72\nAnswer: -675.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -434 - -879. Let q = w + 629. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2. Let p(x) = -339012*x. Give a(p(i)).\nAnswer: -229858272288*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*r + 0)*(-6 - 1 + 2 - 4 + 2 + 3 + (-1 - 1 + 1)*(-2 + 4 - 3))*(5 - 4 - 2).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(325)*-3)*2 + -4)**2.\nAnswer: -256*sqrt(13) + 13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/33 and ((-38)\/36 - -4) + 1\/4?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2) + 7\/2 + (-19 - 13). Let l(c) = -7*c - 170. What is l(s)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12, 25, 40, 57, 76?\n\"Answer: i**2 + 10*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 2298 = 362. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + y = -40*r + 240, -11*r - 4*y - 92 = -23*r - 20 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 28 = 4*s, 112 - 121 = q - 2*s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-3))\/(-1 + 295\/300). Suppose 22*z - i = 12*z. Calculate the highest common divisor of 230 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 492*o - 101031.\nAnswer: 3*(o - 283)*(o + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22815712 and 1024.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3417 - -3503. What is the remainder when s is divided by 40?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4595 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*t**2 - 12*t**2 + 12*t - t**3 - t**2 - t**4 as m + z*t + q*t**3 + u*t**4 + o*t**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 357*t**2 + 2*t - 2. Let q(h) = 63546*h**2 + 357*h - 357. Give 2*q(w) - 357*v(w).\nAnswer: -357*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.188 + -0.188. Which is the closest to 16? (a) -2 (b) k (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 5*p - 39 = 0, 4*p + 60 = -59*r - 148 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 17*v**2 + 4*v - 66. Calculate z(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10480)\/150 + (-4)\/30. Let b be 1\/2*d\/(-7). Suppose 2*y + n = 46, y + 5*n + b = 28. What is the remainder when 89 is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45 + 1\/2*f**3 + 8*f**2 + 69\/2*f.\nAnswer: (f + 3)**2*(f + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -0.01211.\nAnswer: -9.98789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1760\/12 - 5) + 4\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 7. Suppose 0 = -k - z + 2. Let o be ((-7)\/k - -1) + -2. What is the second smallest value in 4\/7, 1\/5, o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 6*x. Suppose 24 = -x*p + 2*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -237626 * -0.01\nAnswer: 2376.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15aa8 (base 16) to base 10\nAnswer: -88744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 + 340?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 5*g**2 + 4*g - 8. Let l be c(-6). Suppose -4*q = l - 12. Suppose -140 = -q*a + 162. List the prime factors of a.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/3 and -6.505503 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -772 + 6155\/8. Suppose -3 + 7 = -2*l. Find the common denominator of (-415)\/15*l\/12 and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, n: 2, o: 2, r: 3}. What is prob of picking 1 o and 1 y?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 10 = -r + 27, -5*r = 2*f + 23. Let k be 5\/10*2 + (-477)\/471. Let s = k - 296\/1413. What is the smallest value in f, s, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330 (base 7) to base 16.\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c = 16*c - 61336. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/77253402 and -29\/38626701.\nAnswer: 77253402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154913647.\nAnswer: 7, 53, 59651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 8:48 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*s = -4*g + 76, -16 = 4*s. Suppose -4*a + 3*b + g = -2*a, -4*a + 3*b + 16 = 0. Let y be (50\/(-15))\/((-6)\/9). Put y, a, 0 in ascending order.\nAnswer: 0, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2515*-4.\nAnswer: 10060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 39 = 4*n, -8*n + 4*v = -9*n + 31. Calculate the remainder when 617 is divided by n + 2 + (-3)\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 6*r + 6. Let p be 2 + (-4)\/(-6)*6. Give a(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1581222724 to the nearest integer?\nAnswer: 39765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-429)\/72)*39\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*o - 237118 = 0, -3*l - 237120 = -8*l - 5*o. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-31)*d)**18\/(((d*d*d\/(d\/(d**21\/d)))\/d)\/(d*d**(-3))) assuming d is positive.\nAnswer: d**(-545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k + 87*n = -9*k + 95*n - 12, 5*k + 33 = 14*n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 9:14 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 12:25 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 65 = 3*i - 38 + 274, 285 = -5*i + 137*r for i.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 305541 + -5?\nAnswer: 305532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 1 + -2 + 3*1. Let t(o) = -o**3 + 3*o**2 + 2. Let a be t(3). Calculate the greatest common factor of v and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + n + 0 - 5 = 0, 0 = 2*n. Suppose q*z = z + 56. What is the units digit of z\/((3 - 5)*-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, -252, -681, -1112, -1545?\nAnswer: -1980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*f + 400*f - 15 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 11545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/2589, 15, 3, 5 in decreasing order.\nAnswer: 15, 5, 3, 4\/2589","meta":{"dup_signals":{},"source":"comparison__sort_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: Suppose -3*d + 140 + 117 = 5*y, 2*d = -4*y + 168. Let z be d\/6 - (-2)\/6. Suppose -3*j - 6 = -18. Solve p - j*b + z = -3*p, 0 = -4*p - 5*b - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**4\/12 + 7*j**3\/6 - 4*j**2. Let f be n(2). What is the derivative of 6*z**3 + 2*z**f + 31 - 45 wrt z?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 192569211 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219.\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36781*l = 40497*l - 22296 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37481 at least 37536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 645, 4, -3.\nAnswer: -3, 4, 645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -53, 0.14, -2\/5, 0.8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**7\/7 + 8*t**6\/15 + 3*t**5\/5 - t**3\/3 - 88*t. Determine c so that d(c) = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232582, 465165, 697748, 930331, 1162914?\nAnswer: 1395497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**4\/6 + 955*f**3\/3 + 44655*f**2\/2 - 5082700*f\/3 - 38539480\/3 = 0.\nAnswer: -212, -7, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-820*t + 137*t - 105*t - 905*t)*(7*t**2 - 5*t**2 + 5*t**2).\nAnswer: -11851*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d3ae9 + 4?\nAnswer: -d3ae5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 34*w - 4 + 8 + 3*w**2 - 100*w + 30*w + 33*w. Suppose -4*c + 2 = -2*o, -5*o + 2 = c + 62. Let z(j) = -16*j**2 + 16*j - 21. What is o*y(h) - 2*z(h)?\nAnswer: -h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 84*w - 237 - 171 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46283 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -13*r - 143 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4352*c + 2397*c + 58452 = -831*c - 32508 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + 748*f + 1. Let g(x) = -x. Calculate k(g(m)).\nAnswer: 2*m**2 - 748*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 472 in -0.025, -0.4, -2\/13, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (165\/110)\/(((-1)\/4)\/(30\/(-72)))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -5*q**4\/4 + 4*q + 6. What is the derivative of b(w) wrt w?\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -3\/5, 0.261, 0, 4, -739\/5, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5990 - 27614 + 429787*j - 429784*j)*(2*j**2 + 1 - 1).\nAnswer: 6*j**3 - 43248*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -60240, -120481, -180722?\n\"Answer: -60241*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-50))\/(34\/((-4420)\/78)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -3 (c) -12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 j when three letters picked without replacement from bzzlzbzfjlfzzlj.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6105*o**3 + 6*o + 1728?\nAnswer: 36630*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(160\/(-150))*(-4)\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 30929800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 18.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - r - 598 = 0, 0 = -11*k + 15*k + 5*r + 1202. Let l = k - -683. List the prime factors of l.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 20*c + 24. Let u(s) = -7*s - 8. Determine 4*k(p) + 11*u(p).\nAnswer: 3*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -403*i**4 + 5 + 4*i + 807*i**4 - 2*i**3 - 6*i**2 - 2*i**3 - 403*i**4.\nAnswer: (i - 5)*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -28. Suppose g - 47 = -3*g - 3*k, y*g - 2*k = 53. What is the smallest common multiple of 4 and g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5\/3)\/p*p\/p**(-1\/4))\/(p**(-4)*p*(p\/((p\/(p\/p**8))\/p))\/p))\/(p**(4\/9)\/p**(2\/7)*(p*p\/p**(2\/9))**(-14)) assuming p is positive.\nAnswer: p**(8395\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -229\/7. Which is the nearest to s? (a) 0.25 (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118769 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27607 is divided by 238.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/192 and 157\/66?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.989 rounded to 1 dp?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 35*l + 18. Calculate f(-15).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1430, -6014, -10598, -15182?\n\"Answer: -4584*s + 3154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 28*j**2 + 14*j - 5. Let a(d) = -29*d**2 - 14*d + 6. Let i(u) = -5*a(u) - 6*r(u). Let l(b) = -8*b**2 - 5*b. Calculate -4*i(y) + 11*l(y).\nAnswer: 4*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*s = -5*s - 4693, -3752 = -4*v + 2*s. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18513396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3 = -5*d + 4, -11 = -4*d + 3*c. Suppose d*q = 8, -3*q - 10 = 3*j - 4*q. What is the units digit of (-2 - j) + (-2)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 6*u**2 - 3*u - 3. Suppose -s + 7*s - 30 = 0. Give j(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 2 - 7*t**2 + 16*t**2 - 11*t**2 - 9*t in the form w + f*t**2 + b*t and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 y, and 1 g when three letters picked without replacement from nmnrynmgrn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 35 = -2*t + j, 18 = -t + j. Let p be (4\/(-10))\/(3\/t). Solve -p*h - 3 = -3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1815 divided by 121?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -18 - 22. Suppose 2*s - s - b = 2, -5*s + d = 4*b. What is the smallest common multiple of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5 + -15)*51\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*((-3)\/45)\/(87\/15 + -5)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41351 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2717344 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38334287*p**5 - 30495996*p + 2.\nAnswer: -766685740*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + d**2 - d. Let n(m) = m**3 - m**2 + m. Let v = -17 - -14. What is v*n(b) - 3*w(b)?\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 661.185 minus -8?\nAnswer: 669.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-39)*r**(2\/21)*r)\/(r**(7\/2))**(-19) assuming r is positive.\nAnswer: r**(1243\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -374 + 570. Suppose 3*m + 4*m = -b. Let i = m - -29. Solve 4 = -x + i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + -56. Let p = 3 - r. Suppose -31 - 135 = -p*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5896 and 40?\nAnswer: 29480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2329 = -4*q + 3*v + 201, 1276 = 2*q + 4*v. Does 38 divide q\/5 + ((-186)\/(-30) - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -919722\nAnswer: 4\/153287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 257 + -91. Suppose -5*v + l = 2*m, 3*v - 3*m - 113 = -26. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 11*o**2 + 3*o + 2. What is the units digit of d(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 10:35 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 0 - 2*c - 4 - 2*c + 5. What is the lowest common multiple of 3 and g(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**5\/5 + 60*s**4 - 362*s**3\/3 + 610*s + 2. Factor c(p).\nAnswer: 4*p*(p - 1)*(p + 181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3900767 to 2 dps.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, z: 5, n: 6, o: 2, j: 1, h: 1}. Give prob of picking 1 z, 2 o, and 1 h.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. Calculate the greatest common factor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**4 - 3*h**2 + 3*h - 1. Let x(v) = -4*v**2 + 4*v - 1. Let o(g) = 4*l(g) - 3*x(g). Differentiate o(n) with respect to n.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 2*h + 5. Let d be m(4). Let w be (d\/12 - 0)*3. Put w, 0, 0.3 in increasing order.\nAnswer: w, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2216658 and 762?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u - 52. Let z(q) be the third derivative of -q**4\/24 - q**3\/6 + 22*q**2. Let y(a) = -m(a) - 4*z(a). Is y(-9) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8683 is divided by 8635?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491678 is divided by 966.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(104) - (sqrt(104) + sqrt(104) + sqrt(104)*1 + sqrt(104)))*-3)\/sqrt(8).\nAnswer: -1 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.2 or -5\/3?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 0)\/((-4)\/(-12)). Let a(y) = y**2 + 8*y. What are the prime factors of a(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -12. Suppose -16*l - 399 = -20*l - 3*x, -4*x = -5*l + 491. Calculate the highest common factor of l and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) + 28\/(-5). Put h, 0, 4 in descending order.\nAnswer: 4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {w: 1, i: 1, p: 1, t: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(19) + 2)*6.\nAnswer: 48 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohoo. Give prob of picking 1 h and 1 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g - 3. Let c(q) = -q**3 - 6*q**2 + 2. Let l be c(-6). Suppose -12 = l*s - 3*b - 2*b, -b = -2. Let z = 1 - s. What is h(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82656 and 2296?\nAnswer: 82656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, f: 4}. What is prob of picking 3 f?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/7 - 35405*u\/7 - 288762.\nAnswer: (u - 35462)*(u + 57)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from hgggggggggggg.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -1100100?\nAnswer: -1101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83 and 816896209?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -15. Suppose i - 4*s - 2 = 0, 4*s - 67 = -5*i + 5*s. Let t be (-2)\/(-6) + i\/3. Which is the second biggest value? (a) t (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 23 = -5*s, 0 = 3*i - 2*i - 2. Let h = 395 + -2371\/6. What is the nearest to 0.4 in h, s, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + 5*(3*sqrt(363)*-2 - (2 + sqrt(363) + -1))))**2.\nAnswer: 277200*sqrt(3) + 16011900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-2) - -2)*0\/(-27).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*a - 12*a**3 - 3*a - 6*a.\nAnswer: -12*a**3 + 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/((-1)\/2). Let m = j - -2. Is 2 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 6*g - 4*j - 19, -3*j = 4*g - 29. Sort g, -2, 5, 9 in descending order.\nAnswer: 9, 5, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, -1\/4, 189, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5935739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 - 4*a**3 + a**3 - 6*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 14978*g + 254316. What is r(-17)?\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (177\/9 + -4)*(0 + 174). Suppose 6*q = 346 + d. Is q a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-600)\/84 - 2\/(-14)) + (-1440)\/(-20) and 585?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q + 7*q - 4*q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3 = -1. Is 2\/131 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621666 is divided by 2580?\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) -34 (c) -2\/7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -113397 times 86\nAnswer: -9752142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4782420, 4782374, 4782328, 4782282?\n\"Answer: -46*h + 4782466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4630506*q + 1362965 wrt q.\nAnswer: -4630506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(13)) - (-1 + sqrt(637)).\nAnswer: -9*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**3\/6 + 17*s - 40. Let h(b) be the first derivative of z(b). Let c(f) = f. What is h(c(t))?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 27*y**2 - 139*y + 9. Calculate s(-20).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -12) + (5 - -23 - -67 - 14)\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 11 = -4*k + 36 + 42 - 59, -3*k = 4*w + 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, l: 2, g: 1, d: 4, i: 1}. Give prob of sequence uiu.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 22 = 8. Calculate the lowest common multiple of 63 and (-1)\/k*(129 - 33).\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -457181796 by 152393932.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_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 l(b) = -42*b + 46. Let m(y) = 13*y - 14. Let p(t) = -3*l(t) - 10*m(t). Give p(10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 66897191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/28*6 - -1. Let u = -16 - -19. Suppose 4*h - 7 = 3*d, d + 3*d = -u*h - 1. Which is greater: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-5 - 1) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t = 11*t + 473 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-19 - (-31 + 40)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -211216 + 1?\nAnswer: -211215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a*h**2*q**2 - 22*a*h*q**2 + a*q**2 + 2*a - 130*h**2 wrt q?\nAnswer: -2*a*h**2*q - 44*a*h*q + 2*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and 81?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 12:36 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 766, 765, 764, 763, 762, 761?\n\"Answer: -y + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/11 - (-4)\/(-22). Let d = b + 3. Suppose -4*l = -4*o - 60, 3*o = -d*l + 4*o + 41. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-2) - 78\/52. Suppose -2*s + 11*q = 13*q - 16080, t = -5*s + q + 40194. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(10)\/sqrt(2) - sqrt(5))**2 - sqrt(5)) + -1 + 3.\nAnswer: -sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1\/5*(-18)\/27.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -587 to the nearest ten.\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 30. Suppose 0 = 37*t - 3173 + 657. Suppose -5*p - 18 = -5*k - t, 3*k + 18 = p. Calculate the remainder when z is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1041590 by -18938.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7941311\/108 + -73532. Calculate the common denominator of 29\/108 and h.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + (sqrt(300) - -1*sqrt(300)) + 4 + (sqrt(300) - -1*sqrt(300))*5 + (sqrt(300) - 1*sqrt(300))*2 + 1)**2.\nAnswer: 2400*sqrt(3) + 43301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369*b = -363*b - 36. Let w(r) = -3 + 3*r - b - 5 + 0*r + 11. What is w(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 + 2 - 6*u**3 + 7*u**3 - 7*u**3 - u**4 - 2*u + 21*u**3 - 5*u**3 to n*u**3 + w*u + y + a*u**4 + o*u**2 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 25, 39, 59, 85?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/43)\/b)**32*(b**(20\/3)*b)\/(b\/(b**(-3\/10)*b)) assuming b is positive.\nAnswer: b**(11423\/1290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*d**2*g**2 + 8229*d**2 - 162*g**3 - 2*g wrt g.\nAnswer: 26*d**2*g - 486*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f**3 + 0*f)*(2*f**2 - 2 + 2) - 3*f**5 - 4*f**5 + 6*f**5 + (-1 + 1 - f + (0 - 2*f + 0)*(4 - 2 - 1))*(-2*f**4 + 5*f**4 - 2*f**4).\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8242052 and 5298462.\nAnswer: 74178468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2211321222 (base 4) to base 15.\nAnswer: d6520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 33 = 119. Let v = i - -74. Let q be (-6 - 39199839\/28) + v\/(-8). What is q rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 6. Suppose 4*t = -4*t - 1120. Let u = -146 - t. Sort j, u, -1.\nAnswer: u, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -15*o + 3. Let w be v(-1). Let m(t) = 5*t**2 + t - 1. Let z be m(1). What is the lowest common multiple of 4 and (w\/5)\/(1\/z)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5252 (base 9) to base 7\nAnswer: 14144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65279 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.32874, 0.1, 0.234 in increasing order.\nAnswer: 0.1, 0.234, 2.32874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 12 = 3*d, 0*l - 5*l - 20 = -5*d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130370*w**4 - 213827.\nAnswer: -521480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 30.81. Let m = -107873 - -107873.189964. Let j = r - m. Round j to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/80729 and 15\/27577?\nAnswer: 202387603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from pkppkp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4776 - 4765. Solve -43 = 8*m - u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -143 - 0?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-7) - (-63)\/24.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134840455 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**(4\/25))**25\/(d**(6\/5)*d*d**8\/d*(d*d\/(d*d**1))**(4\/11)) assuming d is positive.\nAnswer: d**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 29*o + 57. Let d be l(-29). Find the second derivative of 4*t - d*t**3 + 8*t - 68*t + 19*t wrt t.\nAnswer: -342*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = 2*q - 14, -3*j - 4*q + 3 = 0. Let z be (-1 + 1 - j)*39\/9. Sort -5, z, 4.\nAnswer: -5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1\/k)**19*(k**(1\/6)*k)\/(k*k**2))\/(k**3*(k\/k**(2\/3))\/k)**(-2\/19) assuming k is positive.\nAnswer: k**(-181\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1654, 6543, 14686, 26113, 40854, 58939?\n\"Answer: 5*i**3 + 1597*i**2 + 63*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -13*w + 1992. Let s = w - -95. Let d = 723 - s. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n = 3*n + 4000. What is the remainder when n is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/30*32\/384?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1905 = -7*v. Suppose 0 = 3*h - 5*b - 251, 0 = -0*h - 5*h - b + v. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 0.75. Let w = x - -0.4. Let o = -0.23 + w. What is o rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1435, 2867, 4309, 5767, 7247?\nAnswer: 8755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*s + 1028 = s, -s + 678 = 2*v. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400 divided by 3?\nAnswer: -400\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -1\/3 (b) 15\/4 (c) -15\/8 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u*((u\/u**42)\/u)\/u*u)))**(-32) assuming u is positive.\nAnswer: u**1280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1099.\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7, -18, -103, -278, -573, -1018, -1643, -2478?\n\"Answer: -5*l**3 + 10*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 951961121?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -2\/823 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g**4 - 107*g**2 + 21*g - 13. Let w(l) = -6*l**4 - 107*l**2 + 21*l - 12. Let s(a) = -6*w(a) + 5*z(a). What is the second derivative of s(x) wrt x?\nAnswer: 12*x**2 + 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-1)\/(3\/(-9))). Let s = 193\/132 - 11\/12. What is the nearest to -4 in 4, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.01 from 8072.8.\nAnswer: 8071.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2389, 2388, 2387?\nAnswer: 2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1134 - 40*y + 1134)*(-484*y + 4670 - 4670) as m + f*y + q*y**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*v**4 - 25*v**4 + 12*v**4)*(3 - 3 - 1)*(-2 + 1 - 1 + 1 - 2 + 3 + (1 + 3 - 3)*(6 - 4 + 0) + 5 + 0 - 3 - 6 + 7 + 8).\nAnswer: 39*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iww when three letters picked without replacement from {w: 2, i: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 7:36 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 7 = -6*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*t**3 + 7*t**3 - 18*t**3 + (t**2 + 2*t - 2*t)*(-t + 5*t - t) + 2*t - 2*t + 2*t**3)*(0*t + 0*t - 2*t)*(-5 + 4 - 2).\nAnswer: 144*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/58, 0.05 in descending order.\nAnswer: 5, 0.05, 1\/58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/42)\/((-756)\/294)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16032074 + 8492074. What is x rounded to the nearest 100000?\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -135 and 10.\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0) + (2 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -22674.\nAnswer: 9069.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/45 - (0 - (-524)\/10). What is the common denominator of (34\/(-4))\/((-91)\/h) - -2 and -101\/44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*c**3*t**3 - 179*c**3*t**2 + 328*c**3*t - 2452*t**3 wrt t.\nAnswer: -66*c**3 - 14712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*l + 41996 + 7668. What is l rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - -25. Let j = 38.9 - t. Is j bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 818767521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -3, 0.19, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -541 - -552. Suppose -7*z = -102 + c. What is the highest common factor of 689 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-21 + 17 + (-10 - -3))) + -11\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 6, -2, 2, 0.077?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**4 - 3*g**4 - 2*g**3 - 7*g**2 + 7*g**2 + g to f*g**4 + v*g**3 + i + x*g + k*g**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -6 (c) -7\/4 (d) 0 (e) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40489 + 3683?\nAnswer: 44172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 102704561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/5, -4, 1\/6, -0.5, 2\/1893?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1879954267?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-6)*1 + 0. Let f = 6124 - 6129. Which is the nearest to t? (a) -0.2 (b) 2 (c) f (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.1. Let u = -47\/57 - -3\/19. What is the nearest to z in 0, -2, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*-11299553\nAnswer: 564977.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1\/3 (c) 27448 (d) 1\/8 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.9 + -3.1. Let i = s - -16.4. Put i, -2\/11, 0.5 in decreasing order.\nAnswer: 0.5, i, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2107 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 37*p = 180 + 234 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 3*w - 3*w)*((-1 - 3*w + 1)*(-3*w - 4*w + 3*w) + w**2 + 2*w**2 - w**2).\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -1009\nAnswer: -18\/1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 - 47 = -12*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 780 divided by 34\nAnswer: 390\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.2, 1.4, -6, 2\/15, -10, 5, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224812, 224808, 224802, 224794, 224784?\nAnswer: 224772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5289 + -3379. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20696\/23 + -900. Are 0 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -87, -95, -119, -165, -239, -347?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 205854 and 224367.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.3, -0.2, -378.8 in descending order.\nAnswer: -0.2, -0.3, -4, -378.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/3)\/(7\/((-105)\/10)). Solve 12*n - 135 - 117 - 6*n**u - 3*n**3 + 276 = 0 for n.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t + 3*t - 2*t - 5*t. Let k(o) be the first derivative of 2*o**2 + 1. Give h(k(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -20. Suppose -u = -0*m + 3*m - 2, -m = 4*u - 8. Let b = u + p. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 0*t**3 - 31\/2*t**4 + 0*t**6 + 2*t + 0*t**7 + 23\/28*t**8 + 0*t**2 + 0*t**5 + 22. Find the third derivative of k(h) wrt h.\nAnswer: 5520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*sqrt(171) + ((-2*(sqrt(171)*-2 - sqrt(171)))**2 - sqrt(171)) + 4.\nAnswer: -21*sqrt(19) + 6160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 20 = -35. Let f(x) = -j - 1 - 5*x + 5 - 8. Let v(r) = -6*r - 10. Let m(u) = 5*f(u) - 4*v(u). What is the first derivative of m(b) wrt b?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -14*g**2 + 54*g - 9. Give d(5).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/64449 and -85\/329406.\nAnswer: 2964654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9\/36*-6*2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 take away 339?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2255.04 + -2255. Put x, 28, 0, -3, -0.2 in descending order.\nAnswer: 28, x, 0, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.03 + 3. Let f = 0.03 + p. Are f and 0.05 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/13 and -14\/122803.\nAnswer: 1596439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 - -1) + (-3 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18651*r - 12583*r - 4 - 7 + 11 - 12723*r.\nAnswer: -6655*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 45, 47?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110.17 + 104.1. Let x = -0.07 - j. Let c = x - 6.08. Round c to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/6*l**3 + 0*l - 1\/3*l**2.\nAnswer: l**2*(l - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 - -94. Suppose 3*u + l = 4*q - 0*u, -5*q = 3*u - 5. Suppose -3*m - 14 = -5*g + 22, 30 = q*g - 2*m. What is the remainder when 25 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4 and -16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-13) + (-104)\/(-676)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 3:39 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 1:54 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 116*o - 43*o + 7 + 129*o**2 - 42*o**2. Let i(y) = 58*y**2 + 49*y + 5. Let k(h) = -7*i(h) + 5*p(h). What is the second derivative of k(a) wrt a?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 13*f**4 + 31*f**3 + 22*f**4 - 40*f**2 - 12*f - 26*f**4 + 7*f**4.\nAnswer: 4*f*(f - 1)*(f + 3)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 23. Find the second derivative of 3*x - 9*x**2 - x + n*x**2 wrt x.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2397 + -2260. Solve d + 23 = -40*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63c (base 14) to base 13\nAnswer: -738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -x + 4, 39*y + 4*x = 40*y + 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -s - s. What is the remainder when (-8)\/(-2) + -4*100\/(-16) is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7104856*p - 27349853.\nAnswer: -7104856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4*8\/3. Let x be (-5)\/4*z\/20. Let h = -3 + 4. Which is smaller: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105.14 - -70.25. Let v = r - -35. Let c = -0.10999948 + v. What is c rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3601*t**3 + 2*t**2 - t - 2. Let b be w(-1). Let o = b - 2371. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 147.826338 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -825.9 - -826. Let f = -193 + 198. What is the nearest to r in f, -14, -1\/6, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -29. Is (-153)\/(-36) + (-2)\/x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14142*l**3 + 8*l**2 - 8*l**2 - 2343*l**3.\nAnswer: 11799*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 561, 577, 627, 729, 901?\nAnswer: 1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 936 and 728.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16721510 and 1465.\nAnswer: 16721510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y = 2*l + 20*y - 42900, -y - 2 = 0. List the prime factors of l.\nAnswer: 3, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-1\/8)*b)\/(b**1\/b*b))\/((b\/(b*b\/(b\/b**(-1\/14)))*b)\/(b\/b**(1\/11))) assuming b is positive.\nAnswer: b**(1055\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 14 - (-55 - -25)) + 25.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1602*q + 27029. What is v(17)?\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 7, -4, 1, -6126 in descending order.\nAnswer: 7, 4, 1, 0, -4, -6126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1516 and -11803.\nAnswer: -10287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -77856 (c) 14\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = j - 4*j + 185358, -2*j + 5*n = -123577. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1529 (b) 2 (c) -3 (d) 0.29 (e) 0.5 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -10624685\nAnswer: -4\/10624685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2321 - -6398. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 466\/12 - 3\/(-18). Factor -4 + 18*j**3 + 6 + 6*j**4 + k*j**2 - 3*j**4 + 36*j + 10.\nAnswer: 3*(j + 1)**2*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(88) + -1*sqrt(88)*-4)\/sqrt(8)*-5 + -1 + ((1*sqrt(1584))**2 - -4*sqrt(176)).\nAnswer: -9*sqrt(11) + 1586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-1 + 1 + 0). Suppose 3*a + 2*f - 28 = l, 0 = -a - 0*a - 5*f + 31. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - a - 6. Let k(n) = -7*n**2 + 2*n + 17. Let i(w) = -8*b(w) - 3*k(w). Let x be i(1). Solve -v + x*u = 21, -v + 2*v = 3*u - 17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-217 - 216 + 428 - 49*g)*(-4*g**2 - g**2 + 3*g**2).\nAnswer: 98*g**3 + 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8a + 5?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-678)\/(-4)*(1 + 10\/6). Let y = 468 - s. Calculate the greatest common divisor of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 24?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 3*a = 48, 2*f + 4*a - 138 = -186 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from {l: 2, u: 12, g: 2, b: 2}?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1217.9474382 rounded to the nearest ten?\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t - 11 = 4*v, 5*t + 3*v = -21. Which is greater: t or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*t = 12, -2*v - 18 = -4*t + 2. Let u = -5 - v. Let c(j) = -2 - 6*j - 2 + 1 + 3*j. Let a(y) = -3*y - 4. What is u*a(l) + 4*c(l)?\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-10)*(-28)\/(63\/9)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 1600?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72113416*s**3 - 43667712*s.\nAnswer: -432680496*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 815 = -650. Calculate the remainder when v is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*b + 2, -5*u - 3 = 3*b - 7. Suppose -5*i - u*h + 16 = -2*i, -i - 5*h + 14 = 0. Let c be 0*(14\/i - 4). Solve c*t = 3*t - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3903599, 7807129, 11710659?\nAnswer: 15614189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 31031 = 23009 + 199250. What is the ten thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20 (b) 4\/3 (c) -5 (d) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3150.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.096858?\nAnswer: -0.387432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 2*r**2 - 1. Let y be (7 - 13\/2)*4. Let i(z) = z**3 - 2*z**3 + 2*z**3 + 5 - z**y - 4. Calculate 4*i(d) + 3*l(d).\nAnswer: d**3 + 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3983 is divided by 1317?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/(-1))\/((-12)\/(-24)). Suppose -5*c + w = -h - 38, -2*h + 17 = c. Calculate the remainder when c is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -421088.\nAnswer: 842176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.00965?\nAnswer: -0.00386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 953*n**2 + 956*n**2 - 1908*n**2. Let m(q) = -12*q**2 - 4*q. What is c(m(o))?\nAnswer: 144*o**4 + 96*o**3 + 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d + 1. Let j be b(1). Suppose 0 = 5*c + z + 1, 2*c + z + 4 = -j*z. Solve -4*r = -c*r + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g - 30 = 0. Suppose 5*t + g = 0, -3*t - 200 + 0 = -2*l. Let x = l + -52. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + d + 29 = 4*d, 0 = 4*z - 5*d - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 18*x**3 + 7*x**2 + 13*x. Let d(v) = 9*v**3 + 4*v**2 + 6*v. Let w(s) = -13*d(s) + 6*z(s). Find the third derivative of w(m) wrt m.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -1 - 27. Let j(i) = i**2 - 6*i - 10. Let y be j(8). Let d be 4\/y + l\/3. Solve -f = d*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/36)\/((-27)\/(-2) - 6). Let i = -11 - -10.9. Which is the nearest to i? (a) 3 (b) 7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 175*c + 14. Let x(b) = 12*b + 1. Let y(q) = -j(q) + 14*x(q). Let f(n) be the first derivative of -5*n**2 + 1. What is f(y(w))?\nAnswer: 70*w","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 2*b - 92. Suppose -4*z - 2 = 3*c - b, 4*z = 5*c - 3. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 59 + 36. Calculate the remainder when 56 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 722 = 113. Let z = v + 255. Suppose -2*o = 4*w - 24, 0 = -5*o - 4*w - 16 + z. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 70970841.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*i**3 + 23*i**3 - 1748*i + 1744*i - 180 - 2*i**2 - i**4 in the form o*i**3 + n*i**4 + v + q*i + t*i**2 and give v.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 294 + 42. Let f(z) = z + 330*z**2 - 2*z - z**3 - 1 - y*z**2. Calculate f(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 7)*(-7 - 2*x + 7) - x + 2*x - 2*x + x + 4*x - 4*x + (-x + 5*x - 2*x)*(-4 + 1 + 2) - x + 0*x - x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*l + 35*l + 10*l**2 + 0*l**2 - 66*l)*(-l + 2*l**3 + l).\nAnswer: 20*l**5 + 112*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 2:33 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t - 20*t = 30. Suppose k - 1604 = -t*k + 3*v, 0 = 5*v - 20. List the prime factors of k.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 2*n - 1. Let q be w(0). Is 4 a factor of 10*(q - -1 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-34)*(-578)\/68*3\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 67293.5.\nAnswer: -605641.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -851 - 30?\nAnswer: -881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57624*p**4 - 3*p + 4938?\nAnswer: -691488*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 627028.76?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 4. Let b be d(-6). Let h = -8 + b. Calculate the common denominator of -111\/14 and (582\/4)\/(h*-9).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/884 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*x + 158 + 152 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5751 and 355.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(66) + (-2*((sqrt(66)*2 - sqrt(66)) + sqrt(66)) - sqrt(66))))\/(sqrt(2904) - (-1*sqrt(2904) - sqrt(2904) - sqrt(2904) - sqrt(2904))).\nAnswer: 2*sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 426 and 22400997.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651727?\nAnswer: 651727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/641789?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 717 a factor of 2303721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:32 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkcaw. Give prob of sequence wkc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 354163610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 45853250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 70 - 40 - 78*a as f*a + g and give f.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*h**3 + 66*h**3 + 135*h**3.\nAnswer: 139*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 22. Suppose -5*f - 3*o = 2, -2*f + 2*o - 5 = -17. Suppose -5*z + 0*z = -4*h - 625, f*h = -10. Calculate the greatest common factor of z and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62.54974413 + 0.052\nAnswer: 62.60174413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*b**2*d**2*n + 8*b**2 - 3*b*n - 92*d**2*n + 1 wrt d.\nAnswer: -26*b**2*d*n - 184*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61546.61881 - 61547. What is j rounded to 3 decimal places?\nAnswer: -0.381","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 less than or equal to 36506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1368254, -1368384, -1368514, -1368644?\n\"Answer: -130*h - 1368124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 10:09 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2154419170 + 3\nAnswer: 2154419173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, p: 9, o: 1}. What is prob of sequence vo?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o - 17*o - 5*l = -5, -o = -2*l - 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-3 - -3) - ((-10 - -6) + 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -143432, -143430, -143428, -143426?\n\"Answer: 2*h - 143434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46144 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5726*p**2 + 3464*p**2 - 2588*p**2.\nAnswer: 6602*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 20, 2\/3, 0.2 in decreasing order.\nAnswer: 20, 2\/3, 0.2, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 135, 85, 35, -15, -65, -115?\n\"Answer: -50*u + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 47106\/2808 - 44\/(-143). Which is smaller: b or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2*m + 4 = 0, -5*m = -13 + 38 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 5*y**2 + 6*y + 1. List the prime factors of m(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-2 - (-28)\/8). Let h(m) = 3*m**2 - 2*m**a + 0*m**2 - 1 + 7*m + 3. Let y be h(-7). Solve 2*x - y = 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 567, 2311, 5225, 9315, 14587, 21047, 28701, 37555?\n\"Answer: x**3 + 579*x**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 17*z. Let c(y) = 508*y**2 - 68*y. Calculate c(d) + 4*v(d).\nAnswer: 504*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2. Let g(s) = 11303*s - 19. Give g(x(m)).\nAnswer: 22606*m**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5835 + -0.4835. Put 3\/2, c, 1, 2\/3, 2 in descending order.\nAnswer: 2, 3\/2, 1, 2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13298 - -13298.2. Which is the second biggest value? (a) -2\/9 (b) f (c) -2 (d) 3 (e) 9\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 r when three letters picked without replacement from {x: 1, n: 10, k: 1, r: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(1\/2*-21 + 3). Let s(m) = -m**3 - 4*m**2 + 4*m - 2. Let w be s(-5). Let z = w - 29\/9. Which is the nearest to 0.1? (a) d (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5851 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/156 and -101\/4?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 89591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349 + 349 - 5*b**2 - 1287*b + 1293*b.\nAnswer: -5*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 3. Let g be k(2). Let s(d) be the first derivative of d**4\/4 + 4*d**3\/3 - d**2 + 7*d + 3. Give s(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 66102?\nAnswer: 66110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -39*y + 44. Let n(u) = -78*u + 102. Let b(p) = 7*j(p) - 3*n(p). Calculate b(2).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1058, -6, 11, 0, -1.\nAnswer: -6, -1, 0, 11, 1058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/11 less than or equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v - 3. Let r be o(2). Let a be -2 - ((-7 - -1) + r). Let j = a - 2. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in hours?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*o - 0*d + 25, 5*o + 4*d - 70 = 0. Let f = 72 - 32. What is the highest common divisor of o and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4210, -8483, -12760, -17041, -21326?\n\"Answer: -2*n**2 - 4267*n + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 14 = 5*p. Let i = -14 - p. Is -4 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*w = 0, 7*w = 3*w - 20. Let g be (-33)\/5 + (-6)\/15. Is g at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 95*f**3 + 1.\nAnswer: -95*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 6*h**2 + 7*h + 4. Let r be o(7). Suppose -4*q - r = -3*q. Let l(a) = -a**3 - 4*a**2 - 5. Give l(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 3*w + 1 - 1.\nAnswer: 5*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 3*b - 234. Calculate the common denominator of (b\/12)\/((-4)\/(-24)) and -17\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**6\/2 - 294*k**5\/5 + 213*k**4 + 98*k**3 - 855*k**2\/2 + 2772. Find v, given that q(v) = 0.\nAnswer: -1, 0, 1, 3, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39604366 to the power of 1\/3, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*g + 292 - 292.\nAnswer: -45*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7677\/5 - 1535. Factor -4\/5*z + 0 + x*z**2.\nAnswer: 2*z*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8776, 8972, 9238, 9574, 9980?\nAnswer: 10456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n. Let b(s) = 7*s**2. What is l(b(g))?\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 6. Let m be q(8). Let o be ((-258)\/15)\/((-1)\/m). Suppose 4*x - 4*s = o, 4*x - s + 53 = 237. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32071 is divided by 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 (base 4) in base 8?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + p - 3*p + 3*p**4 - 6*p + 6*p + 3*p**2 + 2*p**3 as z*p**2 + s*p**3 + g + w*p**4 + h*p and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 + 2*f**2 - 7*f**2 - f**4 + 3*f as v*f + c + o*f**4 + d*f**3 + h*f**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-6))\/(2\/(18*(-21)\/1323))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89335*p**3 - 89328*p**3 + 268129*p**3 - 89386*p**3.\nAnswer: 80*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -10. Calculate the lowest common multiple of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/989 + 1943\/4945. Suppose 1\/5*p**3 + 0 - 3\/5*p**2 + j*p = 0. Calculate p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -4689 - -4684. Let w(b) = -3*b**2 - b - 4. Let o(a) = 7*a**2 + 3*a + 8. Calculate p*w(d) - 2*o(d).\nAnswer: d**2 - d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, w: 2}. What is prob of sequence wii?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 21730598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-27 - (-49 - -17))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b = 197 + 89. Solve 25 - b = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 56?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 1)\/((-6)\/4). Suppose -m*w + 10*w = 24. What is the derivative of -4*i**w + 2*i**3 + i**3 + 2 - 9 wrt i?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.10984, -1\/5, 0.4, 2\/3, -1 in increasing order.\nAnswer: -1, -1\/5, -0.10984, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**3 + 2*x**3 - 4*x**3 + (6*x + 0 + 0)*(2*x**2 + 0 + 0) + 7*x**3 + x - 5*x**3 + 0*x.\nAnswer: 16*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594358 is divided by 531326?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-2*1)\/(11*(-12)\/1320).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -m + 17. Suppose 5*p - 147 = m. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -43, -83, -137?\n\"Answer: -7*f**2 - 5*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3285767 divided by 4.\nAnswer: -3285767\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17189 divided by 395?\nAnswer: 17189\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/43 in -2, 2\/5, 0.3, 12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-12)*(-10)\/(600\/(-9))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1759097.\nAnswer: 1759097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -0.9, 29.76, -0.09 in decreasing order.\nAnswer: 29.76, 27, -0.09, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1359 = -57. Let q = -311 + l. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 951, 1913, 2875, 3837, 4799?\nAnswer: 5761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 + 3*c**2 - 2. What is r(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**3 - 5*r**3 + r + 28 + 25 - 3*r**4 - 54 + 3*r**2 to d*r**3 + m*r**2 + u*r**4 + a + y*r and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 512*j**2 - 4*j + 25. Let i be u(-4). Which is bigger: i or 8231?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*z + b - 3474, -4*z - 4*b + 3480 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 11) in base 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -606, -1, -3, -5 in ascending order.\nAnswer: -606, -7, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52228 or 52226?\nAnswer: 52228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 1)*(0 - 1 - 2)*(-3*t + t + 3*t) + (1 - 1 - t)*(-4 + 0 - 3).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-33)*k*k**24)\/(k*k*k\/(k\/(k*k\/k**(2\/83))))**(-18\/7))**35 assuming k is positive.\nAnswer: k**(201095\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -182 (b) -2 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 3:17 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 3*o = -50, -5*o - 1392 = 3*x - 1362 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1020021 - 3?\nAnswer: 1020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4249, 3842, 3435, 3028?\nAnswer: 2621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17792 or 17785?\nAnswer: 17792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 222 - 106 + 2*n - 109. Let p = -2 - -20. Let u be p\/(-15)*(-1 - -6). Give v(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2089*y - 910876. Determine d(436).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 14.4, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 9:20 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - i + 0*i)*((2*i - 3*i + 2*i)*(3 + 1 - 5) + i + i - 7*i) + 0*i + 0*i + 2*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - q. Let i(a) = -a**2 + 4*a + 3. Let p be i(4). Let c(w) = -6*w**3 + 3*w + 1. Determine p*m(d) + c(d).\nAnswer: -3*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 289909 + -8?\nAnswer: 289901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 0*a - 80. Suppose b + 5 = a. What is the second derivative of -2*i**5 - 192*i**4 + b*i + 192*i**4 wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 342*f**2 + 561*f wrt f.\nAnswer: 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 14. Let l(b) = -b**2 + b + 9. Let u be l(-4). Let f = u + 45\/4. Put j, f, -5 in descending order.\nAnswer: j, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1*7\/14*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 28613 = -22*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 190*k + 150*k - 375*k. Let r(o) = -2*o**2 + 0*o**2 + 4*o**2. Give f(r(w)).\nAnswer: -70*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 5*z**2 - 4*z - 5. Let j(p) = 1. Let k(n) = g(n) - 3*j(n). Let t = 875 - 869. Calculate k(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z + z + 2*z)*(-16 - 13 + 48) - 3*z - 2*z + 2*z)*(4*z**4 - 2*z**4 + 0*z**4).\nAnswer: 70*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckocww. Give prob of sequence wwc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 814279?\nAnswer: -814289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.159 + 143.041. Let w = 78.9 - h. Let o = w + 65. Sort o, 2\/3, 0.02, -0.2.\nAnswer: o, -0.2, 0.02, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 267231*c**2 + 1870660*c + 1603428.\nAnswer: -(c - 267238)*(c + 1)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.2 + -27. Let n = -1087 - -1088. What is the fourth biggest value in n, 5\/4, 1\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + 188. What is the greatest common factor of 336 and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2))**(2\/15)*(s**(-2\/5))**(18\/5)*(s**1)**(3\/43)\/(s*s**5*s**(1\/3)*s) assuming s is positive.\nAnswer: s**(-28499\/3225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3001 by -6712.\nAnswer: -3001\/6712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/16*-2*(18 + -18) + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 22?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6227203.9311 - -0.2465.\nAnswer: 6227204.1776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (711\/1185)\/(42\/40)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 572?\nAnswer: -572.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 5)*((1 - 1 - 2)*(-4*f + 4*f - 2*f) + (-2*f + 3*f + 3*f)*(6 - 3 - 1) + 446 + 34*f - 446).\nAnswer: 92*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1 = -c, 0 = -n + 3*c + 7. Suppose -2*q + n*q - 98000 = 0. Round q to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 + -14. Suppose -2*b - 3*z = -0*z + 73, 2*z = -2*b - t. Let n be b\/84 - (-1)\/3. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d = 10. Let y be (-1)\/(-2) + 361\/2. Let p = y - 71. What is the greatest common factor of d and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160138 at most 160137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2287*u + 32060. Determine t(-14).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from dutdddduvvuuddd?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 11*g = 35. Suppose -h - 4*h + g = 4*i, 2*h - 5 = -i. Calculate the remainder when i is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x + 6 - 5*x**2 - 2*x - 4*x + 4*x**2. Let h(u) = 2*u**2 - 2*u - 12. Let q(y) = 6*h(y) + 11*p(y). What is q(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 232\/29*(-3)\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((((m*(m*(m\/((m*m**(-5\/4))\/m))\/m*m)\/m)\/m)\/m)\/m)*((m*m**(-5)\/m*m)\/m*m*m*m)\/m)\/(m**0\/m)**(-15) assuming m is positive.\nAnswer: m**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -18*a**2 + 136*a + 54. Let w be c(6). What is the greatest common factor of 7918 and w?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89767*m**3*w + 62*m**2*w - 122*w - 4293 with respect to m.\nAnswer: -269301*m**2*w + 124*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.024, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 424124 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -a194a (base 13) to base 9\nAnswer: -480864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -209823.3 times 1\nAnswer: -209823.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/69345990 and -71\/127134315.\nAnswer: 762805890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -2*o**2 + 4*o + 15. Calculate h(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*q, 2*r + 2*r = 3*q + 393. What is the highest common divisor of r and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338392670 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*n - 10 = 0, 4*s - 1836*n + 1838*n - 10 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1258*l**5 - 726*l?\nAnswer: 25160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -48. Suppose 234 = 2*y - 2*q, f = -2*y - 2*y + 3*q + 466. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, j: 1, h: 3, c: 2, g: 3, t: 3}. Give prob of picking 1 c, 1 g, 1 j, and 1 d.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 14*c + 5. Let h(o) = 6*o + 2. Let x(b) = -2*d(b) + 5*h(b). Let g(f) be the third derivative of 89*f**4\/24 - f**3\/3 + 4*f**2. What is x(g(q))?\nAnswer: 178*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 5, -11, 0.3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-29)*h)\/(h*h**33\/h*h) assuming h is positive.\nAnswer: h**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 19*f**7\/70 - 11*f**5\/60 - f**3\/3 + 36*f**2. What is the third derivative of t(n) wrt n?\nAnswer: 1368*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4782?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 less than 305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*i - 92, -i = -0*i - h - 24. What is the remainder when 118 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**2 - 38920*d**3 + 29 + 2*d + 38919*d**3 + 14*d. Determine f(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1862?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (18\/15*(-135)\/(-16))\/((80784\/1152)\/561)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 2*a + 2. What is the units digit of o(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 6*n**2 + 0*n**2 + 2*n + n**2 - 2*n + (1 - 1 - 2*n)*(5*n + n - 5*n) - 8*n**2 + 3*n**2 + n**2)*(2 + 2*n - 2)*(n + 5 - 5).\nAnswer: -14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d - 44 = -144 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 t, and 1 u when three letters picked without replacement from {u: 3, c: 4, t: 6}.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71015712 by -2928.\nAnswer: 24254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2707958116.\nAnswer: 2, 61, 131, 84719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 6 - (0 + 0)) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1199*d**2 - 74*d**4 - 74*d**4 - 98*d**3 + 226*d**4 - 81*d**4 - 222*d**2 wrt d?\nAnswer: -72*d - 588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121894584 and 30.\nAnswer: 609472920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 32, 47, 62?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(52) + sqrt(416)\/(sqrt(8)*4 - sqrt(8)))\/(-2*(sqrt(36)\/(sqrt(225) + sqrt(9)) - 5*sqrt(64))))**2.\nAnswer: 1573\/14161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*6\/2 - 0. Let r be 2 + 0 + s - -6. Suppose -y + 2*y + 10 = -3*b, -3*b - 40 = -r*y. Solve -y*t - 8 = -23 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -1. Solve -4*p + k*p = -2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -3\/2, -0.4, 3\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 18. Suppose -v = z*v - 138. Solve 2*x - v = 5*h, 0*h - 11 = 3*h - 4*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4777 + (-4)\/(-2) - -5. Suppose 14*z = -2*z + u. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*m - 5*m + 3*f, 5*f + 23 = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Suppose -r - 2*r - 5*k - 16 = 0, -r - 2*k - 5 = 0. Let q be -2 + (0 - 13\/r). Which is the biggest value? (a) q (b) d (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**3 - 9*c**2 - 9*c + 12. Let z be g(-7). Suppose 0 = -2*j - y + 1662 - z, j - 3*y - 503 = 0. What is j rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -1\/120*x**6 + 0*x**3 + 0 - 16*x + 1\/16*x**5 - 1\/12*x**4 + 0*x**2. Solve g(u) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -460c (base 13) to base 12.\nAnswer: -581a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 35*t**2 + 3*t + 2. Let o be 0\/(-5) - (-3)\/(-3). Let a be d(o). What is the third derivative of a*y**5 - 11*y**5 - 6*y**2 + 15*y**2 wrt y?\nAnswer: 1380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1263919 - -1?\nAnswer: -1263918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/(-78))\/(3*(-6)\/(-108)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16852*x - 70444*x**2 + 16852*x.\nAnswer: -70444*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 - 3*t**2 - t**2 + 5*t**3 + 0*t + 2*t**3 + 0*t + (-1 + 1 - 2*t**3)*(-3 + 2 + 3) as k*t + h + n*t**2 + q*t**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 533249227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*p - 2 + 1 = 0, -p + 1 = 2*d. Let h = 8 - 5. Suppose 0 = -5*k + 4*k + 4, -d*k - 27 = -h*u. Calculate the highest common divisor of u and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 63 = -15*o. Suppose 0 = -3*w + o*y + 669, 3*y + 4 = -w + 227. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.12268174 to three dps.\nAnswer: 53.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -7*n**3 - 332*n**2 + 193*n - 50. Give g(-48).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 9:19 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - -11. Suppose 0 = -5*d + 27 - 2. Suppose o = 2*i - 30, d*i + 5*o - 54 = 51. What is the remainder when a is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -168\/13 <= -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(19\/3)*o)**(11\/5)*(o**(-38)\/o)\/o**(-3) assuming o is positive.\nAnswer: o**(-298\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.1 + -4.4. Which is the closest to 0.1? (a) 1 (b) 0.15 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-2 - -1)\/(-1)). Suppose -6 = -0*z - g*z. Let o = 84 + -87. Put z, o, 4 in descending order.\nAnswer: 4, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -11*g - 42. Let r be h(-4). Put 7, -3, r, 3 in decreasing order.\nAnswer: 7, 3, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8042396mm in micrometers?\nAnswer: 804.2396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*r - t + 76 = 106*r, -3*r + t = -14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -262296, -524660, -787096, -1049598, -1312160, -1574776, -1837440, -2100146?\n\"Answer: q**3 - 42*q**2 - 262245*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36*m**2 - 11*m + 901 wrt m?\nAnswer: 72*m - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/2 - 25*w - 272 = 0 for w.\nAnswer: -34, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/423301920 and 19\/180?\nAnswer: 1269905760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -4.48?\nAnswer: -2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-45)\/(-6))\/(31\/(-16) + 2). Is 43 a factor of f\/150*(0 + 0 + 470)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Suppose f = -3*f + 144. Find s, given that f*s + 3*s**2 - p*s**2 - 35*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 237.28 - 237.251. Which is the nearest to v? (a) 0 (b) -2 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 3\/2, 1\/6, 1\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -2\/7 (c) -3\/5 (d) 1 (e) 36 (f) -79\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31\/135 + 10\/27. Which is the closest to -1? (a) -0.2 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 1426*s**3\/3 - 521*s**2 + 1784. What is the second derivative of n(k) wrt k?\nAnswer: 2852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 12:13 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 12. Let x be j(-10). Suppose x*t + 4*v = 18, 2*t + 2*v = -v + 14. Let z(m) = -6*m**2 + t - 1. Let b(w) = -2*w**2. Give z(b(n)).\nAnswer: -24*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16655*p**3 - 5025*p**4 - 2063*p**2 - 5556*p**3 - 5553*p**3 - 5546*p**3 wrt p.\nAnswer: -120600*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8112 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(9\/4))\/(p*p\/p**(-8))*p**(-11)*p\/((p\/(p\/(p\/(p*p**(-5\/8)))*p))\/p) assuming p is positive.\nAnswer: p**(-151\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1120*g - 1575*g = -5390. Factor -18\/13*a - 12\/13*a**g - 2\/13*a**3 + 0.\nAnswer: -2*a*(a + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dndndddnddddnndddn. What is prob of picking 1 d and 3 n?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t - 21*t - 194*t**2 + 13*t.\nAnswer: -194*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**2*z**3 - 19*q**2 + 45853*q*z**3 + 54*z**2 - 2*z wrt z?\nAnswer: -12*q**2 + 275118*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/2 (b) 0.4 (c) -1 (d) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11828179, -23656334, -35484463, -47312560, -59140619, -70968634, -82796599?\nAnswer: -94624508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i**4 - i)*(-40 - 2 - 33 + i).\nAnswer: i**5 - 75*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzvllln. What is prob of picking 2 l and 2 z?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-21 + -18 - -43) + (3 - -8 - 13)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*o = -7*h + 3499, -3495 = -3*h + 3*o. What are the prime factors of h?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 + 20*m**2 - 60*m - 25. Let v be i(-12). Calculate the greatest common divisor of 21 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3 - 459*h**2 - 70227*h - 3581577 = 0 for h.\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, b: 4, r: 2, m: 3}. Give prob of picking 1 m, 1 z, and 2 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 - 2*d**2 + d - 1. Suppose -6*j = -3*j - 6. Calculate t(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*d**3 + 645*d**2 - 780*d + 155.\nAnswer: -5*(d - 31)*(d - 1)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r + 8 + 1\/2*r**2. Let w(i) = -i**2. Calculate w(n(a)).\nAnswer: -a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, 5, 5861\/4, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 14 = -2*h. Let m = h + 18. Let q(p) = -10*p - 1. What is the lowest common multiple of q(-1) and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 - 7*r**2 - 36*r**3 - 2 + 9*r**2 + (-3*r - 2*r + 4*r)*(r**2 - 3*r**2 + r**2).\nAnswer: -35*r**3 + r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 31, -5 in increasing order.\nAnswer: -5, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = g - 2*j, -4*g - 81*j - 6 = -84*j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1979.\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1087081?\nAnswer: 61, 71, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 6. Let s be b(4). Suppose -4*k + 9 = 5*w - 11, 0 = -s*k - w + 10. What is the first derivative of 8*d**2 - k*d**4 + 3 - 8*d**2 wrt d?\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44571407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 32762*f**2 + 60 - 126.\nAnswer: -32762*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 797 + -539. What is the remainder when z is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**3 + 5*j - 7. Let p(w) = -4*w + 2*w**3 + 2*w - 28 + 0*w + 31. Determine -2*c(l) - 5*p(l).\nAnswer: -2*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 6189, -1, 5, -3, 0.1, 245, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/2 + 4 + -1 + -2. Let f(q) = 14*q**2 - 4*q + 30. Does 20 divide f(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 5:22 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60518.\nAnswer: 2, 30259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 188494236 and -0.2.\nAnswer: -37698847.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by 149?\nAnswer: -41\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u - 543 = 31*u. Let r = 630 + u. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011110110011111110 - 11001?\nAnswer: -1011110110100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42155679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 3 + 11 + (0 - 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4 - 11 = 0. Suppose -4*b + 6 = 2*l + 16, -l + 5*b + 23 = 0. Suppose 0*r - l*m = 4*r - 44, 4 = 3*r - 5*m. Solve -r = -o - k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**3 + 6*q**2 + 4*q + 7. Let a(g) = -2*g**3 + 4*g**2 + 3*g + 5. Let v(l) = 7*a(l) - 5*x(l). Factor v(o).\nAnswer: o*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 0, -1, -4\/7, 126\/96205?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70168110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/86891 and -13\/86891.\nAnswer: 86891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 19*a - 19. Let h(w) = w - 1. Let o(x) = -d(x) + 5*h(x). Let v be o(1). Factor 2\/15*u**3 + v + 2\/15*u**4 - 2\/15*u**2 - 2\/15*u.\nAnswer: 2*u*(u - 1)*(u + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15141 + 2*n + 15122 - 45387 + 15121.\nAnswer: 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k**3 - 17*k - 13*k**2 + 3*k**3 + 13*k**2 wrt k.\nAnswer: 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcpvpzvyy. Give prob of sequence zvv.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**2\/3 - 1196*k\/3 + 178802\/3 = 0.\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(40\/46) - (-4)\/10. Put q, -3, -1, 3 in decreasing order.\nAnswer: q, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23315135075 - -3?\nAnswer: 23315135100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12625 (base 11) to base 3.\nAnswer: 220202202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 7. Let k(q) be the third derivative of q**4\/8 - 4*q**3\/3 + 11*q**2. Determine 5*k(j) - 6*l(j).\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*y = d - 13, 5*y - 18 = 2*d. Let f be (7 + -2)*d\/1. Let w(g) = g**3 - 4*g**2 - 5*g - 6. What is w(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24*206202.\nAnswer: 49488.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13474 - 232?\nAnswer: 13242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 5, k: 6, y: 6}. What is prob of sequence yy?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -17. Suppose -16 = 3*s + s. Let u = n + s. Solve -u = -2*p + 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 - -4 - -3 - -2. Factor -x**2 - 3*x**2 - d*x**3 - 7*x + 7*x.\nAnswer: -4*x**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/156)\/(1\/(-8)). Which is greater: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*w. Find the third derivative of w*z**2 - 2*z**2 - 7*z**4 - z**2 wrt z.\nAnswer: -168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 10*u**2 - 6*u - 2. Let b be s(9). Solve b = q - 6*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 522*1001\nAnswer: 522522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*z - 2*f, -f = -3*z - 0*f + 26. Solve 3 - z + 14*s**2 + 4*s**3 + 6*s - 10*s**4 - 10*s**3 = 0 for s.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51 - 7*t**2 - 51 + (27 + 5 - 5)*(-2*t**2 - t**2 + 4*t**2) to u + i*t + b*t**2 and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12.99 - -0.022\nAnswer: -12.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 124, 125, 128, 133, 140, 149?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 951 + -44. What are the prime factors of w?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-275)\/1150*(-8)\/(-22).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*x + 407 = -4993 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 + 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/14784 and -97\/2464.\nAnswer: 14784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3209*s**2 + 8063*s**2 + 23077*s**2 + 2666*s**2 to the form q*s + v + k*s**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3 (b) -5 (c) 30 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1394*i + 2371*i - 1798*i.\nAnswer: 1967*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -161966.\nAnswer: 971796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = s - 14, 2*v - 5*s - 8 = -18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 15117351 to the nearest one hundred thousand.\nAnswer: 15100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2. Let g(c) = 256*c. Calculate f(g(v)).\nAnswer: 65536*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let x = -874 + 874. Let d(m) be the second derivative of -1\/3*m**3 - m + x + 0*m**2. What is a(d(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1421, 1416, 1413, 1412, 1413?\nAnswer: 1416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 0 - 1)*(o**4 - 2*o**3 + 2*o**3) + o**2 - o**2 + 2*o**4)*(60 + 53 + 74) - o**2 + o**2 + o**4 as p*o + j*o**2 + r + m*o**3 + f*o**4 and give f.\nAnswer: 749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*k + 65*k - 21*k - 14*k as u*k + m and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10044 and 82620.\nAnswer: 2561220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207, -1304, -4083, -9324, -17807, -30312?\nAnswer: -47619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9\/2)\/(l*l*l**19\/l))\/(l**(-6))**(2\/15) assuming l is positive.\nAnswer: l**(-237\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -15994 and 57 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -49*m**5\/10 - m**4\/12 + 188*m**2 + 18*m. Let q(l) = -l**2. Determine w(q(j)).\nAnswer: -294*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 2*m - 3*m + (-4 - 4 + 3 + (-5 - 2 + 2)*(4 + 3 - 4))*(3 + m - 3).\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -534 - -536. Suppose j*w = 3*i + 35, 3*w = i + 27 + 29. Calculate the remainder when 49 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 316 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90076700306297 + -0.3.\nAnswer: 90076700306296.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**2 + 33*w + 1. What is the tens digit of y(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - a83?\nAnswer: -a7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -32 (c) 4 (d) -1 (e) 46\/7 (f) 73\/4 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yesf when four letters picked without replacement from fsexvxy.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 401853*t + 3616434.\nAnswer: 3*(t + 9)*(t + 133942)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 16*c**3 + 12*c**2 - 676*c + 168 = 0.\nAnswer: -7, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 95171443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 10. Let u = 30 + -26. Suppose 112 = u*z + 10*z. Calculate the lowest common multiple of y and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaep when four letters picked without replacement from {a: 8, e: 4, k: 1, p: 3, j: 1}?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35215 + -15914. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 6*g**2 + 2. Let q be o(6). Suppose -q*k = -3*a - 7*k - 84, -4*a - 2*k = 112. Is -26 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 5*i + h, 4*h = -3*i + 8*i - 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -3. Sort k, -2\/5, 0.1 in ascending order.\nAnswer: -2\/5, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 157793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**2 + 4128*d - 76988 = 0.\nAnswer: 19, 1013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 5*o**2 + 11*o**2 - 2*o**2)*(-30*o + 30*o - 31*o**2).\nAnswer: -93*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1.5176, 3.6, -2\/5.\nAnswer: -1.5176, -0.5, -2\/5, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 + f + 2*f**4 - f**4 + 14 - 16 + (0*f**3 - f**3 + 2*f**3)*(-3*f - 4*f + 5*f).\nAnswer: -f**4 + 2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 276375502 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 757.\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6490*a**3 + 2*a - 7. Let s(f) = -9736*f**3 - 3*f + 10. Determine -7*s(i) - 10*v(i).\nAnswer: 3252*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -20*(-12)\/90*(-15)\/20 + 50834.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 313*r**4\/6 - 991*r**2\/2 - 2845*r. What is the first derivative of k(j) wrt j?\nAnswer: 1252*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35 + -516293?\nAnswer: -516258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -6*g**5\/11 + 242316*g**4\/11 + 3393384*g**3\/11 + 8726196*g**2\/11 + 8241534*g\/11 + 242400 = 0.\nAnswer: -11, -1, 40400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2380719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-2))\/(((-344850)\/792)\/(-95))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 3*t + 3 = 6, t = -a - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 388536.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/12))\/f*f**16\/f*(f**(2\/11))**(2\/15) assuming f is positive.\nAnswer: f**(3287\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -33. Suppose 3*x + 11 + 0 = -4*l, -j*x + l = -20. Solve -4*p = i + 3, 8*i - x*i - p = -15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -995 + 1015. Solve -20 = p*k - 25*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + -1 - (13 + -219). Which is greater: 203 or o?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 19 = 85. Let g be 30\/40 - (w\/(-12) - 4). Factor -9\/10*u**g + 3\/5*u - 1\/10.\nAnswer: -(3*u - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**2 + 190*q + 9. Determine m(38).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czzhctznzcczczcqqn. What is prob of picking 1 q and 1 t?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1199, 1384, 1687, 2108, 2647?\nAnswer: 3304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 213 - 59. Let d = -63 + w. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*r + 30, 0*l - 3 = l + 2*r. Let a(d) = 0*d**3 + 2*d**l - 2*d**3 - 2 + d**3 + 8*d - 8*d**2. What are the prime factors of a(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 y when three letters picked without replacement from yyxxzyy?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6*z**3 + z**2 - 4*z - 7. Let h(d) = 22*d + 109034 - 109026 - 7*d**3 - 2*d**2 - 17*d. What is 5*h(g) + 6*s(g)?\nAnswer: g**3 - 4*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-774)\/99 + 2\/(-11). Let q(x) = -5*x**3 + 8*x**2 - 11*x. Suppose 9 = -2*p + 5*p. Let b(t) = -2*t**3 + 3*t**2 - 4*t. Calculate a*b(l) + p*q(l).\nAnswer: l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbbk when four letters picked without replacement from bbbbbkkbb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*u**2 - 7396\/5 + 172\/5*u.\nAnswer: -(u - 86)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-5))\/(868 + -860) - (-2 - -10)?\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.121 + 24.121. What is the closest to -1 in -2\/15, z, 6\/73?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, -4, 1\/14, 5 in increasing order.\nAnswer: -4, 1\/14, 0.2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 2524*a**2 + 19900*a + 22428.\nAnswer: 4*(a - 623)*(a - 9)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 48 = 2*f. What is the remainder when 6 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2972 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (13 + -11 - 7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545 greater than or equal to 2546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698520570?\nAnswer: 2, 3, 5, 11, 2116729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -182890\/2267?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 331 = -26. List the prime factors of f.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**32\/(q\/q**(1\/5)) assuming q is positive.\nAnswer: q**(156\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -8, 0, 5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 1800*i + 270000.\nAnswer: 3*(i + 300)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - h. Let p(m) = 4*m + 6*m**2 - 11*m**2 + 0*m**2. Let t be (1\/2)\/(4\/(-8)). Calculate t*p(f) - 4*b(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3269684915?\nAnswer: 5, 7, 93419569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3. Suppose -2*h = 5*q + 13, 0 = q + f - 2. Let a(n) = -n - 3. Let i be a(h). Solve -5 = c - i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = -0*d. Let r(a) = -a**3 - a**2 + 8*a - 5. Calculate the smallest common multiple of r(-4) and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, w: 3}. What is prob of picking 2 x and 1 w?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 61 + 6*h**2 - 14.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 0*u**5 + 11\/6*u**4 + 23\/42*u**7 + 0*u**3 - 15*u + 0*u**6 + 0*u**2 + 0. What is the third derivative of v(d) wrt d?\nAnswer: 1380*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -879, -3525, -7943, -14139, -22119, -31889?\nAnswer: -43455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - 5*b**3 + 2*b**3)*((0*b - 3*b + b)*(1 + 3 - 5) - 1834*b + 4187*b + 7922*b).\nAnswer: -20554*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a factor of 2213278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-19 - (26 + -12 + 11))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -0.08, -0.3, -86, 28?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 0, 4982, -5, -3 in increasing order.\nAnswer: -5, -3, 0, 44, 4982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*p)*(4 + 2*p - 4) + (1 + 3*p - p + 0)*(-3*p + p + p).\nAnswer: 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 248070685 to the power of 1\/2, to the nearest integer?\nAnswer: 15750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 135 + 2 + (5 - 2). Let m = 144 - d. Solve -10 = m*z - 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57.7 + -157.6. Let b = 111 + m. What is b rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 9:30 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i - 3. Let c(h) = -4*h + 1. Let q(k) = -36*k + 8. Let r(o) = -28*c(o) + 3*q(o). Determine 4*a(u) - 3*r(u).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 8372?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-89 + 86 + 1056*y + 347*y)*(-1 - 1 + 3 + (2 + 2 - 5)*(1 + 1 - 3) + 0 + 0 - 1) to the form f + z*y and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 3*a**2 + a**2)*(1 + 2*a - 1) + (1 - 30 + 11)*(0 + 48*a**3 - 49*a**3 + 8*a + 2).\nAnswer: 20*a**3 - 144*a - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b - 33. Calculate q(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.26 + -2.3. Let t = 2792.36 + -2793. Let j = t - z. Which is the closest to -0.5? (a) 2 (b) -1\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 121, 982, 3313, 7846, 15313, 26446, 41977?\n\"Answer: 122*a**3 + 3*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26543*x**2 + 623*x - 73 wrt x?\nAnswer: 53086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10871 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c**4 - 35*c**3 - 5*c**2 + 10 wrt c.\nAnswer: -120*c - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 5*u + 41 = 35, 2 = -3*p + 5*u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y + 553 = 527 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 4 - 2)*(1 + 1 + 0) - 3 - 2 + 6)*(-2*a + 9*a + 0*a + (3*a - a - a)*(-2 + 4 - 1)) to o*a + n and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*v - 115 - 110 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/42 less than -2\/179585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6103, -12198, -18293, -24388?\n\"Answer: -6095*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.7 - -1.7. Which is the second smallest value? (a) o (b) -1\/4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -167.8 - -168. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -29\/1390534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**2 + 0*k + 1\/12*k**4 + 0 - 2\/3*k**3. Is m(3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 - 364 = -12*q. Calculate the remainder when 121 is divided by q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.6219 + -2.61. Round r to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42 times 1400981?\nAnswer: -588412.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6 - 53)*(-2)\/28 and 48\/61 - (-2)\/(-4).\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 6 = -3*s - 19, 2*s = 2*i + 10. Let j = 7 + s. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + w. Suppose -2*j - u = 10, -5*u + 13 = j + 36. Let a(z) = -4*z. Give j*p(i) - a(i).\nAnswer: -3*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1012\/5 - 202. Solve -z*b - 2\/5*b**4 - 6\/5*b**3 - 6\/5*b**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*t = 98177 - 1066. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, -5\/2, 0, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 8 = -4*d, 3*v - 2*d - 67 = -63 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**2)**(-36)\/(((a*a**(-5\/6))\/a)\/(a*a*a**8*a*a)))**(-31))**(-5\/2) assuming a is positive.\nAnswer: a**(-55025\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -174\/5 + 35. Suppose 3\/5*d**3 - g*d**2 - 3\/5*d + 1\/5 = 0. Calculate d.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3870?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*(sqrt(88) - ((sqrt(88) - -2*sqrt(88)) + sqrt(88)))*6)\/((sqrt(72) + sqrt(8))*4 + sqrt(8) - sqrt(48)\/(sqrt(6) - -1*sqrt(6))).\nAnswer: 2 + 24*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/20*2*10. Suppose 2 = -3*t + f. Suppose -s + t*s + 4*u = 10, 3*u + 6 = 0. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g - 19*g**4 - 3*g + (289 - 289 - 33*g**2)*(-4*g**2 + 2*g**2 + 0*g**2) as o*g**2 + w + d*g + p*g**3 + z*g**4 and give z.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2. Let m(q) be the third derivative of 0*q + 2*q**2 + 0 + 0*q**3 - 1\/8*q**4. What is l(m(a))?\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4282 is divided by 590.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 - 4*l**4 + 2*l**4 + (-5 + 5*l - 7*l + 14)*(0*l + 0*l + 2*l**3).\nAnswer: -3*l**4 + 18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64125 = -7136*o + 5711*o for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116 + -116. Suppose -8*s + k*s + 64 = 0. Let d(g) = -g**2 + 8*g - 5. What is d(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5571\/(-27) + (-4)\/6 + -5. Let d = 213 + j. Let a be (1 - 0)\/(7\/2). Do a and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 - 103. Suppose -4*c + 3*c = 2*m - 7, 3*c - o = -2*m. Let 4\/9*z**4 - 2\/9*z**3 - 4\/9*z**2 + 2\/9*z**c + 0*z + 0 = 0. Calculate z.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 31*j**2 - 4*j + 3. Let g be o(-2). Suppose 5*i + 0*i = -d - 699, -d + g = -i. Let n = -79 - i. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 16524351 and 16524349 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -198 + 198. Suppose 2*l + i*k = k + 303, -2*l - 2*k = -306. Calculate the remainder when l is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + c + 1. Let d(z) = -5*z - 10. Let s(l) = -4*l - 9. Let q(i) = 5*d(i) - 6*s(i). Give 2*o(p) + 2*q(p).\nAnswer: -2*p**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8\/3, -24, -16\/13, -3?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 4*h**2 - 2*h - 3. Is q(-4) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1060\/9*n - 5618\/9 - 50\/9*n**2 = 0 for n.\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*f - 2*f - 4*w, 3*w = 12. Let r = 59 - 57. Let g(k) = k**2 + 0*k**3 + 3*k - k**3 - 5*k + 0*k**r - 1. Calculate g(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -13 - 2*v**2 + 8*v - 19 + v**3 + 2 - 2*v**2. Is k(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1397968 is divided by 126.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 417922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -962, -4, 3 in decreasing order.\nAnswer: 3, -2, -4, -962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 694243301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*u = 114*u - 5*h + 4, 0 = -u + 3*h + 18 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 41. Let s = y - 14. Solve -5*g = -s*g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.22253041 rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17162464 a multiple of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1117 = l - 741*y + 745*y, -4*l = -3*y - 4525. What is the remainder when l is divided by 33?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.33, 2\/13, 1\/6, -6, -2.\nAnswer: -6, -5, -2, -0.33, 2\/13, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -199.1146709 rounded to 2 dps?\nAnswer: -199.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 3*n - 29, 11*n - 10*n = -4*x - 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -570 by 5.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-12))\/((-175)\/(-420)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1570, -3136, -4706, -6280, -7858?\n\"Answer: -2*w**2 - 1560*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220 times -0.2?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**5\/3 + 25*a**4\/3 + 51*a**3 + 299*a**2\/3 + 170*a\/3 = 0.\nAnswer: -17, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4749 is divided by 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) + 2*sqrt(88))*-2)\/sqrt(8))**2*-2.\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 + 588338*o - 259606201683.\nAnswer: -(o - 882507)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-461)\/1920 - 1\/(-4). Let n = 75\/67 + -9399\/8576. Let l = u + n. Is -1 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*5*1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -1\/8, 0, 0.2, 0.5 in ascending order.\nAnswer: -0.7, -1\/8, 0, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/sqrt(4))**2 - sqrt(2)) + 3.\nAnswer: -sqrt(2) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 6\/59 in increasing order.\nAnswer: 6\/59, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**(1\/13)\/r)))\/(r**(-1\/4)*r))**(-1\/17)\/(((r*r**(-4\/9)*r)\/r*r*r**2\/r*r)\/((r*r**4*r)\/r**(-2\/13))) assuming r is positive.\nAnswer: r**(21455\/7956)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 308588736 rounded to the nearest one hundred thousand?\nAnswer: 308600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -71 + 79 + (3 - (3 + 3 - -17))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 - -68272745.\nAnswer: 68272745.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 185.34 - 0.34. Let u = -187 + v. What is the closest to -0.2 in 0.3, u, 2, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1.5 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282541080?\nAnswer: 2, 3, 5, 109, 21601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -39, -5, -187, -3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-31))**36\/(s**4\/s*s)**(6\/29) assuming s is positive.\nAnswer: s**(-32388\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2. Let z(y) = -43*y**2 - 33*y**2 + 8*y**2 - 13*y**2. What is d(z(r))?\nAnswer: 13122*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 150 - -398?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 104580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 46*g - 65. Let o be k(17). Sort o, 1, 2 in descending order.\nAnswer: o, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 4*t, -4*t - 5 = -17 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 8. Let o be r(6). Let i(q) be the first derivative of -q**3\/3 - q - 6824. Determine i(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2037 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*1760\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 1. Let b(u) = u - 2. Let l be b(8). Suppose -2*t + p + l = 0. Solve y + 3*v - 14 = 3*y, t*y = v - 22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2*j = 3 + 1, 5*j - 40 = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -434*p + 5284. Let a be k(12). What is the greatest common factor of a and 72?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -44. Suppose 4*d + 4*p = 0, 10 - g = d - 3*p. Find the second derivative of j**2 + 13*j**2 - 137*j + 6*j**d + 117*j wrt j.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 greater than -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 453903.\nAnswer: -4\/453903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1025 - -1027.885. Let z = i - -0.115. Put z, -2, 4 in ascending order.\nAnswer: -2, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 9:23 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210 - 8*i + 29 + 8*i + 3*i**2.\nAnswer: 3*i**2 - 181","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 47 - 3) + 291 + -180?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + -25. Let y = 6406 - 6393. Solve 0 = 9*d - y*d - r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - 37*f - 18. Let m be r(-18). Factor m + 1\/4*k - 1\/4*k**2.\nAnswer: -k*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1014706 divided by 162\nAnswer: 507353\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 8*r**2 + 8*r - 12. Suppose -2*y - 7 - 11 = -3*x, 45 = -5*y - 2*x. Let w be b(y). Is w < -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 10. Suppose -2*l = -5*w + l + 21, 2*w - j*l = 14. Suppose 3*d = 0, -s = -2*d - 2 - w. Solve -3*c - s*t = 5 + 5, 0 = -3*c - 3*t - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Let b(x) = 5*x - x**2 + w*x**2 - 3*x - 2 + 0*x**2. Suppose -3*j - g + 12 = 0, 5*j = -g + 10 + 8. Determine b(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*s + 104*s + 3145 = -354*s for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7371 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 - 3 + 2*m - m**2 + 7*m**3 - 5*m**3 as y*m**3 + s*m + d + w*m**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129991?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 - 79. Suppose -x + 30 = 5*f + 4*x, -p*f + 5*x = 0. Sort f, 2, 1 in increasing order.\nAnswer: 1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3*61)\/(((-4200)\/36)\/(-175)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**3\/2 - 2*w. Let v(x) = -15*x + 9. Let q(m) = 7*m - 4. Let a(g) = -9*q(g) - 4*v(g). Determine a(k(u)).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 = 4*w - 5*p, 7*p - 149545 = 2*w - 149782 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126336 = -7766*m + 5078*m for m.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11124*r + 11125*r = -5*w - 6, -5*r = 3*w + 30 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 273 and 768?\nAnswer: 69888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*n + 1015 = 2053 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/12 and -113\/768.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 244 = 264, 5*i + 2*y = -62 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((44\/(-88))\/(1\/2*-2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -15*w + 12*w, h = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x - 76 + 201 - 72 - 80 + x**2. Let i be s(-9). Solve 0 = z - i*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25, -17, 5, 47, 115, 215, 353?\n\"Answer: w**3 + w**2 - 2*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v - 4. Let s be p(6). Solve 4*k + 3*o - o = s, o = 2*k - 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + 51 - (-1 + 1 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**5\/180 - 7*l**4\/18 - 10*l**3\/3 + 2*l**2 + 51*l. Factor s(t).\nAnswer: (t - 30)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 1497?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 - 40 = 14*p + p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*x = x - 451795, 301222 = -2*h + 5*x. Let j = 201399 - h. Round j to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20083 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 3, z: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kfksfubsbfsbsb. What is prob of sequence sksb?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o - 26. Let p be m(-6). Suppose -p*t = 12 - 2. List the prime factors of 0 + t + 1 + 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 19994240 divided by 249928\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 8 + -5 - 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 - 4*w**4 + 3*w**4)*(359 + 19*w - 359) - w**4 + 325*w**2 - w**5 + 33*w - 325*w**2.\nAnswer: 18*w**5 - w**4 + 33*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a + 5 - 5. Suppose 4*g - 5 = 3. Let u(x) = x + 3*x + g*x - 4*x. Give u(h(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/2 (b) 1\/4 (c) 4 (d) -1\/8800 (e) 1\/3 (f) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -197\/5. Which is the closest to 0? (a) -0.05 (b) -3\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4080162 (base 9) to base 7.\nAnswer: 24341663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -261 + 14550?\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, k: 1, e: 1, n: 1, o: 4, w: 5}. What is prob of sequence nek?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 388896*d**3 - 222232?\nAnswer: 1166688*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1797*c*l**2 + 151117*c - 2*l**4 + 5*l wrt l.\nAnswer: -3594*c*l - 8*l**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*c**2 - 14 + 14 + 0.\nAnswer: -117*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.95532 and -1.2?\nAnswer: 1.146384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -8. Let a be (-3)\/(2 - c\/3). Find the second derivative of 2*r**5 - r - r**a + r**3 wrt r.\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, 25, 37, 49, 61?\n\"Answer: 12*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 55 = -g - 4*g, -5*x - 5*g = -95. Suppose x = p - 4. Suppose 5*l - p - 1 = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k + 7. Let d be s(-4). Let n = 103 + d. What are the prime factors of n?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0736 + -0.05758. Round g to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16471 + -10818. What are the prime factors of k?\nAnswer: 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -514*g + 514*g + 19758*g**3.\nAnswer: 19758*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*s + 55 = 0, 22 + 16 = 2*i - 3*s. Suppose k = -0*k + i. Suppose 15 = k*d - 11. Solve d = -3*a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 184314765?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226246, 454411, 682576, 910741, 1138906, 1367071?\nAnswer: 1595236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 8:57 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 121975.8+5\nAnswer: 121980.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(20) + sqrt(20) - (sqrt(100)*2)\/sqrt(5))\/(sqrt(250) - (sqrt(250) + 2*1*sqrt(250) + sqrt(250))).\nAnswer: 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/17 or 46.5?\nAnswer: 46.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5076625 and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27088 is divided by 2618.\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - c2720?\nAnswer: -c272a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14 + -1)\/(13 - 12). What is the highest common factor of 143 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128 - 120. Suppose 0 = q - 3*v + 1, 4 = -4*q + b*q - 4*v. Let w(t) = -t + 4. What is w(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2635.185 meters to micrometers.\nAnswer: 2635185000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**3 + 2 - 4*w**3 + 15*w**3 + (-2*w**2 + 3*w**2 + w**2)*(-2*w + 4 - 2*w + 2*w).\nAnswer: 4*w**3 + 8*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -28292224.\nAnswer: -7\/28292224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11\/3 (b) 0.3 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, q: 1, c: 2, g: 1, v: 3, u: 3}. Give prob of sequence fvuc.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 3)*(6 - 5 + 5)*(5*u - 5*u + 2*u) in the form h*u + v and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 12. Let x(a) = -3*a - 3. Calculate x(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 139 and 973.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**4\/8 + 9*x**3 + 4*x**2. Let d be n(-17). Solve -g + 2*g = -2*r, -r = -d*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 98*k**3*l - k**3 + 8*k**2*l - 6266*k**2 wrt l.\nAnswer: 98*k**3 + 8*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -433 + 783. Find j such that -v*j + 346*j + 4 + 12 - 2 - 2 - j**2 = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008779 rounded to five decimal places?\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5287 times 10124?\nAnswer: -53525588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -37*v**6\/40 + v**5\/60 - v**3\/6 + 2*v**2. Let l(u) = -71*u - 398. What is the remainder when m(-1) is divided by l(-6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2900 divided by 4?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 30*u + 193. Let d be t(-21). Let j(i) = -26*i + 9. Let a(p) = -4*p + 1. Let z(k) = d*a(k) - j(k). What is z(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -54. Solve 8*j - d = 12*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047318431 plus 5?\nAnswer: 4.952681569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6859, -6854, -6839, -6808, -6755, -6674, -6559?\nAnswer: -6404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46104606?\nAnswer: 2, 3, 29, 59, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/1598832 and -13\/27?\nAnswer: 1598832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 8. Let i be x(-7). Let c be (-20)\/(-6)*(-2)\/(-12). Let y = 73\/99 - c. Is y at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -40. Let u = x - 14. Suppose u*m - 3*m + 10 = 0. Calculate the highest common factor of 90 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 84.1036.\nAnswer: 84.6036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen tenths of a litre?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8953 less than -2?\nAnswer: -8955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 + 20*b - 11. Give y(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 9*c - 6. Determine m(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*b - 45*b = -2*l + 69, -5*b = 5*l - 155. Solve l*s + 82 = -32 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2353, 5999, 10939, 17173, 24701, 33523?\n\"Answer: 647*n**2 + 1705*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1806, 3628, 5450?\n\"Answer: 1822*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 9*u**2 + 5*u - 12. Let q be k(-11). Let f = 427 - q. Let m = 359 - f. List the prime factors of m.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 5*f + 10. Let l be t(4). Let k be (-2)\/(-1) + (l - 8). What is the closest to k in 2, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -467 in 3, -0.2, 2\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -865 and -0.1386?\nAnswer: 119.889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679701 is divided by 4385.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -7. Suppose -3*g + 105 - r = 0. What is the greatest common divisor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a + 2. Let i be 0 + 84\/(-17) + (-12)\/204. Let g be 1\/(2\/4*-2). Let u(p) = -p. Calculate g*s(l) + i*u(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19) - (sqrt(19) + (sqrt(57)\/sqrt(3) + sqrt(19))**2*3))) + (sqrt(171)*1)**2 - ((3 + sqrt(684))**2 - (sqrt(19) + 0)*5).\nAnswer: -294 - 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1\/(-6)*-6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3\/2 + 559235*h**2 - 3355403*h\/2 + 1118467 = 0. What is h?\nAnswer: 1, 2, 1118467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 897113?\nAnswer: 7, 128159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 527173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.110853 - -0.111. Round l to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**2\/n))\/n**(-5)*((n*(n**(-2)\/n)\/n)\/n)\/n**(1\/10)*(n**(-1))**(-12\/5)*n*n*n\/(n\/(n\/(n**(-3\/4)*n))*n*n)*n*n*n\/(n**(-1)*n) assuming n is positive.\nAnswer: n**(141\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 19 = -3*p, 13*p - 5*c + 29 = 15*p. Are -748 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 12*q + 122. Let d(z) = z**2 - 9*z + 24. Let k be d(6). Let h be p(k). Calculate the greatest common factor of 63 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6}. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 4*b**2 - 4*b + 2. Let o be u(2). Let k(d) = d**2 + d**2 + 3*d**o - 4*d**2. Let p(g) = 2*g. Determine k(p(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5069*c - 5942*c - 2 - 1117*c + 0 in the form n*c + x and give n.\nAnswer: -12128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51385186*q**4 + q - 152403954?\nAnswer: -616622232*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 21 = o - 23, -5*o = 2*x + 44. Let s = -7 - x. Solve q + 12 = -2*q, -5*k - s*q - 10 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17923 divided by -1\nAnswer: 17923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90 - -89.51. Which is smaller: m or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*2\/(-4) + 4. Let c = -9 - 0. Let l be (g + (-4)\/3)*c. Solve 5 = 3*n - l*i + 4*i, -2*n = -i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 5*d**2 - 6. Let l be t(-3). Solve -c = 2*c - l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**2*j - 30*c**2 - 2*c*j - 14*c + 37*j wrt j.\nAnswer: c**2 - 2*c + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4876*x**2 + 6682 wrt x?\nAnswer: 9752*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -60, -2 in ascending order.\nAnswer: -72, -60, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*v**2 - 5*v - 4 + v + 4.\nAnswer: 70*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - ((sqrt(112) - sqrt(112)*2)*6 - sqrt(112) - sqrt(112)))\/sqrt(7))\/((sqrt(8) - 2*sqrt(8))*1*-1).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 39*y. Let j(v) be the first derivative of -10*v**2 - 415. Determine j(g(r)).\nAnswer: -780*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 3380\nAnswer: 3\/3380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 876?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 11*f + 6. Let o be z(11). Suppose q - o*q = -5. Let u = -0.44 - 0.56. Which is the nearest to -1\/4? (a) q (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**4\/12 + b**3 + b**2 + b. Suppose -3*o = -6, 2*d - 14 = -0*d - o. Determine g(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/8)\/(1\/16*-426). Let f = -294\/355 + v. Which is the closest to 0? (a) f (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 38*s**2 + s. Let w(b) = 875*b + 3. Give z(w(d)).\nAnswer: 29093750*d**2 + 200375*d + 345","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-186992)\/186)\/116\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-18)\/b**(2\/65))**(6\/13) assuming b is positive.\nAnswer: b**(-7032\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -42 - 3\/2*n**2 - 3*n + n**3 + 3\/4*n**4. Factor c(b).\nAnswer: 3*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66418 (base 9) to base 2.\nAnswer: -1010110000110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5687604 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4, 5*f = 4*f - 3*q - 26. Let r = -30 - f. Solve o + 3 = r*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 136.43 - 148. Let o = -0.83 + b. Let t = o + 10. What is t rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - g = 3*g + 46, -l = 5*g + 10. Suppose -m + 9 = -l. What is the remainder when m is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 + 2)*(h**2 - 3*h**2 + 3*h**2) + (-7*h - 3*h - h)*(-6*h + 6*h + 4*h))*(-3*h**2 + 0*h**2 - 5*h**2).\nAnswer: 360*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 - v**2 + 4*v**2)*(2 - 1 - 3) + 0*v**2 + 0*v**2 - 9*v**2 in the form u*v + s + t*v**2 and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -14. Suppose 0*v + y = 3*v - 5*n, 0 = 5*v + 2*n + 5. Solve v = -k + j - 6*j, 5*k = 5*j + 25 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -483 - -717. Let r = 395 - p. Does 23 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 2*b**2 - 3*b + 3. Give i(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a25 - 0?\nAnswer: a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(12\/(-120)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -159.3 take away 29362534?\nAnswer: -29362693.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 79. Let j be f(-37). Find the second derivative of 7*r + 141*r**2 + 32*r**2 + j*r**2 + r + 3*r wrt r.\nAnswer: 410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 232.29.\nAnswer: 232.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-17\/4))**(-2\/33) assuming u is positive.\nAnswer: u**(17\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 29*m + 74. Calculate x(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(84) - -1*sqrt(84) - sqrt(84)) + -5*1*sqrt(84))\/((sqrt(48) + sqrt(48) + (sqrt(3888)*1 - sqrt(3888)))\/(sqrt(144)*1)).\nAnswer: -33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -5, -14, -23?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/((-126)\/(-40))*658. What is the greatest common factor of p and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2832 + 4802. Calculate the highest common divisor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-20)\/(-150)*(-6)\/(-10)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174707950 to the nearest integer?\nAnswer: 13218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*r = 9, 3*a - 16*r + 7 = -8*r. Determine o, given that 0*o**2 - 4\/7 + 2\/7*o**a - 6\/7*o = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203275?\nAnswer: 5, 47, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 1. Let n be r(-2). Let b be ((-1)\/n)\/((-1)\/9). Suppose -l - 4*f - 4 = 1, 0 = 2*l + 3*f. Solve b + 6 = l*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkok when four letters picked without replacement from {o: 2, k: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -238754575\/21 - -11364757. Let q = t - -4510. What is the common denominator of q and 95\/2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -67 - d - 2*d**4 + 69 - 3*d**4 as g + r*d**2 + y*d**4 + i*d + z*d**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1915\/374 or 111?\nAnswer: 1915\/374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y - 6. Let u(l) = -17*l**3 - 7*l**2 - 9*l + 10. Let q(w) = -47*w**3 - 21*w**2 - 26*w + 29. Let h(z) = 4*q(z) - 11*u(z). Give h(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 17805\/7 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 + 0*b**4 - 9*b**4 + b**3 + 7*b**3 - 7*b**3 to t*b**4 + w + m*b**2 + z*b + k*b**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-13)\/3 + 5)\/((-4)\/(-306)).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -161 + 1220. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1006 divide 153589038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10301 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 - 3 = 10*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pff when three letters picked without replacement from ipfpftfptt.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-2))\/((-3)\/3 + 2). Suppose t = 16*s - 19*s + 51. Solve 3*x + 2 = s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of (190\/19 - (-38)\/(-4))*28804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93374027 to the nearest integer?\nAnswer: 9663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26, -42, -58, -74, -90, -106?\n\"Answer: -16*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2. Let z(u) = u**2. Let n = 12 + -7. Let m(d) = n*v(d) - 6*z(d). Let r(j) = -4*j. Determine r(m(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -1)\/(3\/(-12)). Suppose w*p + 330 = -354. Let h = -52 - p. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**4\/12 + 2*y**3 - 11*y**2. Let g be x(5). Solve 15 = -3*s - g*b, -5*s - 8 = 4*b + 19 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oopd. What is prob of sequence od?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i - 4. Let a(l) = -l**2 - 5*l + 97. Let f be a(-13). Let r(z) = -282 + 280 + z - 3*z. Calculate f*r(m) + 4*d(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (-19 - -9) - -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {k: 2, h: 9}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h. Let u(m) = -2*m. Let g(s) = -5*f(s) - 24*u(s). Let t(q) = -3*q. Determine -4*g(a) - 3*t(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -248, -135, 182, 811, 1860?\n\"Answer: 18*c**3 - 6*c**2 + 5*c - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53189, 425446, 1435839, 3403430, 6647281?\nAnswer: 11486454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 13*v**2 + v + 14. Let q be i(-13). Let h(s) = 2 + 1 + 2*s**2 - 3 - q + 7*s. List the prime factors of h(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 112?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1128 - 1126 - 680*b + 3387 - 1133 to the form i*b + m and give i.\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + p - 4*p)*((0 + 0 - 2)*(-2 + 3 - 2) + 1 + 3 - 3 - 1 + 0 - 1 + 0 + 1 + 1)*(-4 + 0 + 2).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 80760 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6076 - 3905. What are the prime factors of m?\nAnswer: 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**6\/180 - 2*z**3 - 2. Let d(y) be the third derivative of p(y). Let n(h) = -h**2. Determine n(d(x)).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (66\/(-15) - -8)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**5 - 850*b**4 + 1680*b**3 + 10*b**2 - 1685*b + 840 = 0. What is b?\nAnswer: -1, 1, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {k: 3, m: 13}?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**6 + 11333*u**5 - 67*u**2 + 140?\nAnswer: -240*u**3 + 679980*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 332251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/92 + 116178\/(-1355988).\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 157*f - 14. Is s(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75\/(-30))\/((-5)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/((-198)\/60))\/(4\/6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10023 - 1201?\nAnswer: -11224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, s: 10, m: 3, f: 1}. What is prob of picking 1 s and 1 m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3630, 3981, 4332, 4683, 5034?\nAnswer: 5385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 13*v**2 + 19*v + 57. Let w(j) = -3*j**2 - 5*j - 14. Let r(n) = 9*w(n) + 2*y(n). Let d = -446 - -438. Let z be r(d). Put -1, 3, z in descending order.\nAnswer: 3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3150 = -13*t - 29*t. Calculate the remainder when 641 is divided by t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - 210. Let v = -2213\/9 - h. What is the common denominator of v and -45\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361293 is divided by 15704.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 646 - 796 = 0. Suppose 99*c = q*c - 3516. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - g + 1 = 2*g, -2*o + 1 = -g. Let h be 9 - 1\/(-2)*-8. Sort -3, o, h, -1.\nAnswer: -3, -1, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29373479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(1029))\/(sqrt(7) - ((sqrt(7) - -2*sqrt(252)) + sqrt(7))).\nAnswer: -3 + 7*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 49*t**5\/20 + t**3\/6 - t**2 + t. Let l(y) = y**2 + 3*y - 9. Let r be l(2). List the prime factors of p(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, r: 4, b: 8}. Give prob of picking 2 b and 1 t.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 4, -0.1, 35.7?\nAnswer: 35.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - (6 - (-9 - (-2 + -8 + 6)) - 8)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-2 - 11 - -11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/19 (b) 5 (c) -6 (d) -1\/13 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 15)\/(2\/(-14))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o. Let q(d) = 15*d. Let g(u) = 6*q(u) + 17*t(u). Let s(c) = 2*c**2. What is g(s(f))?\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/5 - 66\/(-165)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 10*f**2 - 7*f - 3. Let p be g(-8). Let c = -1081\/6 + p. Is c greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, n: 3, h: 6, f: 1, q: 1}. Give prob of picking 2 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -29561 divided by -76\nAnswer: 29561\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-3)*(-1 - 2). Let a(k) = k**3 + 2*k**2. Give a(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1787 and -79\/214718772.\nAnswer: 214718772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1198 = 32*o - 306. Calculate the remainder when o is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 406, -5, 1, 0.0443 in ascending order.\nAnswer: -5, -1, 0.0443, 1, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 42*h + 7. Let a be x(4). Let u = a + -52. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**4 + 37468*v**3 + 87975880*v**2 + 889711872*v - 987072476544 = 0. Calculate v.\nAnswer: -4676, -114, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 19*a**2 + 37*a + 10. What is the units digit of f(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95 (base 14) to base 3.\nAnswer: -11212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 212221002001 (base 3) to base 13\nAnswer: 1364bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**2 + 3*l**2 - 7*l + 9*l**2 + 5*l.\nAnswer: 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 12) to base 3\nAnswer: 20100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 3\/23 (c) -377\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-4))\/((-3)\/3)*2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 7*a - 3. Calculate s(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 - 10 - 11)*(-5*x + 5*x - 2*x) - 2 + 2 - x + (-x + 0*x + 2*x)*(-2 + 4 - 1) - 3*x - x + 6*x + 2*x - 3*x + 2*x + 2*x + 2 - 2)*(11479 - 11327 - 2*x + x).\nAnswer: -33*x**2 + 5016*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45269427 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3079 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 12)\/(393\/262). Sort v, -17, 5.\nAnswer: -17, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*l*t*z**3 - 1711*l*t*z - 4*l*z**3 - 115*l*z**2 + t*z**3 - 2*z**3 wrt z?\nAnswer: -372*l*t - 24*l + 6*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 404456 to the power of 1\/2, to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 348*i**2 - 16*i - 21. What is the thousands digit of d(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from pbpppppppppzpppp.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216780 is divided by 69.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.8 from 287.0684.\nAnswer: 290.8684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 34*h**2 + 70*h + 202. What are the prime factors of f(35)?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 125.6989896 to two decimal places.\nAnswer: 125.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -20156 divided by 10078\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z**3 + 448*z**2 + 38*z + 50. Let x be k(-75). Which is smaller: -14051 or x?\nAnswer: -14051","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by (-1 - -22)\/(6 + (3 - 8))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 i when four letters picked without replacement from mffmffiififfimif.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -64, 34, 248, 620, 1192, 2006, 3104?\n\"Answer: 7*u**3 + 16*u**2 + u - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5950 = -77*a - 8*a. Calculate the greatest common divisor of 658 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*y = -28, -3*v - 2*v + 3*y = -72. Let k = -199 + 202. Suppose -k*q + 28 = 2*q - 2*z, -4*q - z + v = 0. Solve -b + 20 = q*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 133998*p + 4488866001.\nAnswer: (p + 66999)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4407687400 and -0.138925?\nAnswer: 4407687400.138925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.710058 and 15.2.\nAnswer: 13.489942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1633 (base 13) to base 16.\nAnswer: -cb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 5, 12, 0, 29 in increasing order.\nAnswer: -4, 0, 2, 5, 12, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (27\/(-45) - ((-4)\/(-2) - 6))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d**2 - d + 1. Give a(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9902 divided by 5?\nAnswer: 9902\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 5:30 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-125)\/(-6))\/(-9*125\/675).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104326 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7cb - 118?\nAnswer: -8e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (19 + -37))\/(1\/(-10))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.7 + -17.7. Let o = -11 - x. Let w = 246 - 3200\/13. What is the nearest to 1\/3 in w, o, -2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0*p)**(1\/13))**30 assuming p is positive.\nAnswer: p**(30\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 2) + 122 - (5 + -16 + -3 + 15)?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*u + 3*w - 14, 2*u = -4*w + 14. Suppose 6 + 19 = u*q. Let f = -0.2 + 0.4. What is the third smallest value in q, f, -1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*c - 159 = 181 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 394365 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51101 is divided by 257.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12445119 to the power of 1\/3, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 13.462 and 1.\nAnswer: 14.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*u + 1)*(-2 - 11 - 11) as y*u + v and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*(sqrt(4400) - (sqrt(4400) + -1*sqrt(4400))))\/(sqrt(16)\/(2*-1*sqrt(4) - sqrt(4))) + 0.\nAnswer: 1 + 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -24 - (3 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 4*c - 6*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/2003436 and 167\/360.\nAnswer: 20034360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, -2\/5, -0.08, -0.3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoiaalx. What is prob of sequence yl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**3 - 3*c**3 + 8*c**3 + (2*c + 0 + 0)*(-4*c**2 - 7*c**2 + 19*c**2).\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-2)\/(-16)*2*2\/26?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (124\/6)\/(10\/(-30)). Let h be (-4)\/(-6) + k\/(-6). Let s = h - 11. Which is greater: 2\/3 or s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 2*i + 12 = 3*a, -3*a + 34474 - 34465 = -3*i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -7. Let u = -1.9999972 - q. Round u to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -j + 5, -j + 25 = -5*d + 2. Let t(s) = -3*s + 9. Let y(b) = 5*b - 14. Determine j*t(c) + 5*y(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 4*c = 423693 - 423638, -5*f - 15 = -3*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 65650 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228*-14.08.\nAnswer: -3210.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 852 and 1962?\nAnswer: 278604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -41427337 divided by 16\nAnswer: -41427337\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -159*b**2 - 2*b + 2*b + 158*b**2. Let p(v) = -v**2 + v - 1. Let j(h) = -5*h**2 + 4*h - 4. Let z(o) = -j(o) + 4*p(o). Calculate z(q(t)).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((209\/(-44) + 4)\/(18\/(-84))).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/6)\/((-3)\/(-90)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*w - 4*b - 1 = 99*w, b = 2*w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-11 - (-8 + 14 + -1 + 2)) - -11.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 1128*v**2 - 10298*v + 9168.\nAnswer: 2*(v - 8)*(v - 1)*(v + 573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1338*j - 51098 + 14972 = 0 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 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: Let q(p) = p**2 - 3*p + 5. Suppose 0 = -2*r + 8 - 0. Let u be q(r). Solve 0 = 5*c - 1 - u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1610 (b) 2\/11 (c) 113 (d) 4 (e) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61153 (base 13) in base 5?\nAnswer: 21030200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 17694*i + 809692.\nAnswer: 2*(i - 8801)*(i - 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4382348070.\nAnswer: 2, 3, 5, 146078269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q - 4. Let s(p) = p**2 + 8*p + 1. Let z be s(-6). Let d = z - -3. What is the tens digit of u(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 735 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13\/2)\/(6\/12). Let i = -10 + b. Suppose 0 = -o - 4*p + 6 - 2, -3 = -i*p. Solve 5*h = -o*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7420806 - 7420809.000057. Let a = -2.2 + -0.8. Let m = b - a. What is m rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12921, -12916, -12911, -12906, -12901?\nAnswer: -12896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50440, 104198, 157956, 211714, 265472, 319230?\n\"Answer: 53758*h - 3318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 + 5*b**2 + 2*b - 1. What are the prime factors of d(4)?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1 - (6 + (245\/(-30))\/1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 10. Let c = 3 + -5. Let z = -1.5 - c. Put z, 5, l in increasing order.\nAnswer: l, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*y - 3506 = 39*y. What are the prime factors of y?\nAnswer: 2, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 223.5874 millennia?\nAnswer: 22358.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16351.\nAnswer: 83, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30875 and -0.7?\nAnswer: 21612.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 22532475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - o + 17996 = -10*m, 3*m + o - 26993 = 0. Let k = m + -3100. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/8 and -33\/383.\nAnswer: 3064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2 + 2)*(1 + 0 + 1) - 3*p - 2*p + 3*p + 5 - 5 - p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/17527 or -1?\nAnswer: 3\/17527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 5:34 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10640 and 28272?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2 - 401*x - 11662*x.\nAnswer: -12063*x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-45)\/(-8) + 180\/480. Suppose 0 = 154*j - 160*j + 30. Let h be (10\/4)\/((-2)\/(-4)). Solve -b = -2*k - j*s - 3, 15 = h*k + 5*s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(2511\/620)\/(-81))\/(8\/(-930))?\nAnswer: -93\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*x = -156*x - 341. Solve 0 = i + 4*o - 3, 4*i - x*o + 28 = -7*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or -25\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 0*v**2 - 2\/3*v**3 + 0*v**5 + 0*v**4 - 3\/7*v**7 + 0*v + 0*v**6 + 2. Find the third derivative of k(b) wrt b.\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/24263 in -3, 0.1, 0.9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8*(-7)\/2856)\/(22\/(-60)). Let p = z + 1109\/3740. What is the common denominator of 71\/14 and p?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-3)\/(6\/(-2)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 11\/24?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/5715 and 21\/127.\nAnswer: 5715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 86*m - 5655. List the prime factors of p(-122).\nAnswer: 3, 5, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4141 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -646, -1747, -3314, -5347, -7846, -10811, -14242?\n\"Answer: -233*i**2 - 402*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -3)\/(6\/123). Let s(m) = w - m**3 + 7*m**2 - 31 - m + 8*m. Let r be s(8). What is the greatest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*sqrt(272))**2 - sqrt(272).\nAnswer: -544 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15242 - -68817. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 g when four letters picked without replacement from aaaagaaggg?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 12*n - 7. Let p be c(13). Let o(u) be the third derivative of -3\/100*u**p - 2\/25*u**5 - 2\/15*u**3 + 11\/60*u**4 + 0*u - u**2 + 0. Factor o(d).\nAnswer: -2*(d + 2)*(3*d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 8 = 3*a. Let u(b) = -b**3 + 4*b**2 - b + 2. Determine u(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -32. Suppose -3*a - 6 = -y, -l + 2*a = 0. Calculate the greatest common factor of 48 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 + 8*a - 3. Calculate r(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78651, 78654, 78657, 78660, 78663?\nAnswer: 78666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -3, 137*y + 6*t = 142*y - 64 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40387999 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/14)\/((r\/(r**(-9)\/r)*r*r*r)\/r)*r**(3\/8)\/(r**(-2\/11)\/r) assuming r is positive.\nAnswer: r**(-7093\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307 = 3*v + 5*a, v - 2*a + 468 = 563. Calculate the greatest common divisor of 88 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*o + 280*o - 6 = 0. Suppose o*j - 1357 = 1875. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 120 = a. What is the lowest common multiple of a and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -5*v + 11. Let x be v*2\/(-16) - 2. Let j = -943 - -941. Which is bigger: x or j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1404 and 6851481?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y + 4*m + 31 = 0, -10*y + 6*y - 5*m - 4 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 24*y + 10. Calculate the lowest common multiple of k(-9) and 72.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4264 and 34422288?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i + 44. Suppose v = -v - 14. Let h = v - i. Solve o - h*p - 19 = 0, 3*p - 15 = 5*o + 5*p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 6:32 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42903439 or -42903437?\nAnswer: -42903439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y. Let d(a) = -2*a + 203. Give d(x(k)).\nAnswer: 2*k + 203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -18. Let j = q + 6. Sort -0.3, 2\/3, j in ascending order.\nAnswer: j, -0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 7*u + 10. Suppose 3*p - u*v - 561 = 46, 5*p - 1009 = 2*v. What are the prime factors of p?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = s + 4, 5*w - s + 5 = -9. Suppose -3*p + 2*x = 23, 0 = -0*p + 2*p - 3*x + 22. Let l = p - -3. Is w at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 360, 371, 390, 417?\n\"Answer: 4*k**2 - k + 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k - 68 = 0. Let f = -12 - k. Let q(j) = j**2 - 4*j - 4. Give q(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*c - 4*c + 2, 5*c - 4*d - 10 = 0. Find y such that -8*y**4 - 32*y - 10*y**4 - 5*y**5 - 72*y**3 - 10*y**4 + y**5 - 80*y**c = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/2*((-90)\/(-72) + 59\/(-12)). What is the greatest common factor of l and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z = 21*z - 3*d + 367, -z = d - 359. Calculate the remainder when z is divided by 38.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04393 - -137.19393. Let r = z + -140. Let o = r + 2.8. Put o, -0.3, 0 in decreasing order.\nAnswer: 0, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/29 (b) 0.03 (c) -1\/2 (d) 9 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21906.75 rounded to the nearest ten?\nAnswer: 21910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 20, 3*i + 4 = 5*g - 1. Suppose l - 4*y + 22 = 0, -i*l + 10 - 35 = -3*y. Is l greater than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + -5 + -1*(sqrt(99) + 3 + sqrt(99)*3 + sqrt(99) - 2*2*sqrt(99)))**2.\nAnswer: 54*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*i - 2*b, b = 5*i - i + 4. Let s(x) = 18*x**2 - 2*x + 1. Let l be s(i). Let j = l + -21. Solve -h - h = j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 35 + 109. Let u be 4\/(-5) + h\/(-180). What is the third smallest value in u, 1, -24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-12)*(-2 + (-3)\/12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2 + 2*u + 8 + 4 - 8. Determine v(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g**2\/7 + 50*g\/7 - 8\/7 = 0.\nAnswer: 1\/6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 8:08 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-20) - (1 - 2). Let l(v) = v**3 - 38*v**2 - 81*v + 40. Let m be l(40). Is m at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330190894 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 175, 176, 177?\n\"Answer: w + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 5*t**7\/7 + 46*t**5\/5 - 74*t**3\/3 + 2*t**2 - 224. What is the third derivative of u(l) wrt l?\nAnswer: 600*l**3 + 1104*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/22*(-46*(-10)\/(-40) - -6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, 453, 635, 789?\nAnswer: 915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 665 - 6615. What is the greatest common divisor of s and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/465, -0.2 in decreasing order.\nAnswer: 2\/465, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/17 (b) -1\/5 (c) 1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -979*c + 7. Let f(y) = -980*y + 8. Let j(g) = 3*f(g) - 4*k(g). Let m be j(7). Suppose -m = 20*s - 24*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1971056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*s**2 + 836*s**2 - 597*s**2.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 3, -44, 5, -4.\nAnswer: -44, -15, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 1\/6*x**3 + 0*x**2 - 7 + 4*x. Let n(u) = 11*u**2. Determine n(d(v)).\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -646.95550685 less than 0.06?\nAnswer: 647.01550685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2908\/9 + -323. Let p = -0.1 - -0.2. Let w = 220\/7 - 2874\/91. What is the closest to 1 in c, p, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 88, 50, 10, -32?\n\"Answer: -j**2 - 35*j + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23896? (a) 5 (b) -1.1 (c) -1 (d) -5 (e) -0.5 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -10*s**5\/7 + 150142*s**4 - 455137386*s**3\/7 + 7066798378*s**2 - 2816325820*s = 0.\nAnswer: 0, 2\/5, 217, 104665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/3 - (-496)\/12?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310 + 34 - -99 - -54?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 6:55 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/66 and -67\/61848?\nAnswer: 680328","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-13\/5)*a**(-3\/7)*(a\/a**(1\/16))\/a**(-3\/2) assuming a is positive.\nAnswer: a**(-331\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8824.366 micrometers to kilometers.\nAnswer: 0.000008824366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*z**2 + 15*z**2 + 8 - 14*z**2 + 4*z**2 - z**2 - 2*z**2 + (-2*z + 5*z - z)*(3 - 3 - z) + 0*z**2 + 4*z**2 + 3*z**2.\nAnswer: 16*z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2616\/2461?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l**2 - l + 1. Let y be s(1). Let d = y - -6. Suppose -4*r + 12 = -d*r. Solve r*t + 0*z - 7 = -z, 5*t + 3*z - 17 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*d - 30 = 0, -4*d - d + 15 = c. Suppose l - 12 = -2*l. Let x be (16\/(-14))\/(-2 + l). Sort c, x, 4 in descending order.\nAnswer: 4, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 9:23 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 107 = -5*s, 42 = 2*s - 5*h + 13. Suppose -5*a - s = 2*g, -3 = 2*a + 4*g - 9*g. Let o = 33 + a. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3714761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58 and 35224.\nAnswer: 1021496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19244 - 19100 = 24*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -828.146082 to two decimal places.\nAnswer: -828.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m + 170. Let g be d(26). What is the highest common factor of 3 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -10 + 9079*s**3 - s**4 - 9079*s**3 + 9 - s**2 + s. Let o(g) = -8*g**4 - 32*g**3 - 90*g**2 - 74*g - 32. Let m(a) = -6*n(a) + o(a). Factor m(x).\nAnswer: -2*(x + 1)**3*(x + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*p - 13 + 8 = 0, -4*b = p - 9. Suppose 4*w - 18*s + 14*s - 24 = 0, 4*s - 6 = -b*w. Solve w*l + 3*u = l - 3, -u = 2*l + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419*r - 2*r**3 - 492 - 413*r - 388*r - 888*r.\nAnswer: -2*r**3 - 2108*r - 492","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**2 + 8*m**2 + 2360*m - 2479*m. Let u(k) = -49*k**2. What is c(u(h))?\nAnswer: 4802*h**4 + 5831*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/8 - (-344)\/64. Let t be (1 + 2\/2)\/1. Suppose -3*o - 18 = -4*a, -28 = -4*a - 0*o - 2*o. Solve 2*v = z*q - 19, -t*q + a*v = 2*v + 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 12 + 28 = 0. Suppose 20 = -f + 5*i, 7 + 1 = -f - i. Sort w, -5, f in increasing order.\nAnswer: f, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*c**3 - 136*c**3 + 312*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23389 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -217524790*r - 285735314 with respect to r.\nAnswer: -217524790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*12\/4)\/(-5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2 and 826684463 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 13 + -5 + -6 - 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/44)\/(45\/50)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3990 + -3988. Solve 5*l - 4*l = r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 9*i**2 + i + 10. Suppose -3*t = -2*t + 9. Let c be p(t). Let l = 4 - c. Solve -2*s + s - l*v = 3, -v = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/2 + 250*o**4 + 1264*o**3 - 749*o**2 - 8575*o\/2 - 2525 = 0. What is o?\nAnswer: -5, -1, 2, 505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199768544?\nAnswer: 2, 919, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757460 divided by -146455?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -18*s + 278. Let a be y(16). What are the prime factors of a*(-7 - 2349\/15)?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - b = -43, -m + 7 + 36 + 46 = 5*b - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 + 69. Solve 5*g = -h - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 9 - 21. Suppose -2*b + l*b - 120 = 0. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221121212 (base 4) to base 15\nAnswer: 3539e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l. Let s(p) = -4*p**2 + 5*p + 3. Determine 5*n(c) + s(c).\nAnswer: -4*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526 is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, d: 2, u: 3, p: 6, x: 3}. What is prob of sequence hdd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, 5, 21322?\nAnswer: 21322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42\/(-36) - (3 - 4). Which is the second biggest value? (a) h (b) 1 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 566028046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*9 + (-12)\/(-4). Suppose -4*g - 3*u = -43, -2*g + 7 = -u - c. Let h be ((-16)\/g)\/(6\/(-75)). Solve -4*v + h = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 10:31 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12377\/9 + 1375. Sort w, -0.3, -7\/6 in decreasing order.\nAnswer: w, -0.3, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41425840*q**3*t**4 - 27481057*q**3 wrt t.\nAnswer: -165703360*q**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -1. Let z(d) be the second derivative of d**5\/20 - d**4\/3 - d**3\/2 - 3*d**2 + 2*d. Let t be z(5). Solve -t = -a*k + k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7948.6l in millilitres?\nAnswer: 7948600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5829 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36357 is divided by 6057.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -53*c**6\/60 - c**5\/60 - 25*c**4\/24 - 4*c**3 + 79*c**2 - 2*c. What is the units digit of t(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-12)*-6)\/((-1)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -52 (b) 787 (c) 2\/5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161 divided by -3.\nAnswer: -161\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 50*y + 61. Let v(t) = 2*t. Let z(j) = -p(j) + 6*v(j). List the prime factors of z(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**2 + 2*y. Suppose 0 = 33*k - 16 + 115. Let m(n) = 2*n**2 + n. Suppose 5 = v - 0*v. Give k*p(w) + v*m(w).\nAnswer: -2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -53429187*c**2. Let g(l) = -8*l. Give o(g(t)).\nAnswer: -3419467968*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 4. Suppose -5*p - 4 = -3*h, -5*p - 10 = -5*h - 0*p. What is the smallest common multiple of t(3) and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*h + 36 = 0, 6*h = 2*t + h + 12. Let -4*w - 2*w**4 - 3*w**4 - 7 + 12*w**2 + w**4 + t*w**3 - 1 = 0. Calculate w.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 392845 = -j - 392890, 3*h = 2*j + 51 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -2 + 2 + 80\/(-10) + 112 and 3302.\nAnswer: 13208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/4 - -24 - 0. Calculate the common denominator of -113\/12 and 848\/70 + a\/77.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*a**2 - 1)*(2*a**2 + 4*a**2 - 5*a**2) + a**2 - a**2 - a**4.\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 0 - 2 + 3 - 2. Let d = -4 + 3. Let n(z) = 3*z + 8. Let p(f) = -f - 1. Let w(l) = -n(l) - 4*p(l). What is d*w(a) + 2*g(a)?\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 846.\nAnswer: 6768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 971*d**3 + d**2 - 65?\nAnswer: 5826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmkmhhghhrhnnhm. Give prob of sequence gn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) 19 (c) -8420\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11259 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9*13\/78*104. Solve -23*x - 133 = -o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -16) + (-5 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6*q*q**(6\/5))\/(q**8\/q**2))**(-42) assuming q is positive.\nAnswer: q**(-462\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -23.7. Let g = z + -0.3. What is the closest to -0.1 in 0.5, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4*j = -21 - 9, -2*b + 5*j = -29 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -184 < -177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from tttrtutetttt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31088\/17487)\/(3\/((-189)\/(-406)))?\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -29, 3*w = -12*l + 17*l + 2*w - 29 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - ((-7 - 0 - -8) + 10 - 8).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187472*r + 11304 = -187664*r - 8856 for r.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -854, -866, -880, -896, -914, -934, -956?\n\"Answer: -w**2 - 9*w - 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 18 - -20) + 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 3*w - 5. Let m(j) = 3*j + 2*j + 4*j**2 + 6 - 3*j**2 - j. Let z(x) = 3*m(x) + 4*s(x). Differentiate z(p) wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -357689.9 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 3*x**5 + 2*x**2 + (-x + 3*x - 3*x)*(-x + x - x**4) + 2*x**5 + 0*x**5 + 2*x**5 - 2*x**3 + 2*x**3 - 2*x**5.\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 344358 and 756.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2, -37, -5 in ascending order.\nAnswer: -37, -5, -2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*a + 2. What is the third derivative of -23*d**6 + 5*d**a + 33*d**6 + d**2 wrt d?\nAnswer: 1200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*21\/112 + (-3)\/12. What is the closest to 2\/7 in d, 21, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2731.9988956 - 2732. What is f rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 11, 5, 3, 0.3 in descending order.\nAnswer: 11, 5, 3, 0.3, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 + (-8)\/30. Let y = -63 - -187\/3. Sort -3, y, r.\nAnswer: -3, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350776, 350717, 350618, 350479?\nAnswer: 350300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -6 - -3) + (-2 - 7 - (29 - 60)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3190*j**4 + 490*j**2 - j - 2?\nAnswer: -76560*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 19*b**2 - 72*b + 19. Determine s(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1001001 (base 2) to base 11\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 8. Suppose -12 = -p + 2*j, -73 + z = -5*p - 3*j. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -3230 (c) -385\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24518 is divided by 4901.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12130.155 + -11806.1549284. Let w = m - 324. What is w rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 45 - 27. Let k be -33 + 32 - 2\/(2\/41). Let t be 7 - (k\/18 + (-2)\/(-6)). What is the highest common factor of t and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3015419, 3015415, 3015409, 3015401?\nAnswer: 3015391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31.68 + -31.78. Let m = 2\/93 - 11\/31. Which is the nearest to -4\/5? (a) -12 (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o - o)*(o**4 + 8*o**2 - 8*o**2 + (2*o**4 + 0*o**4 - 3*o**4)*(2 - 4 + 1)).\nAnswer: -4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 2)*(8 + -7). Let b(u) = u**3 - 7*u**2 + 6*u + 3. Let m be b(6). Suppose m*i = -3*r + 351, i - y*r - 123 + 26 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 2259.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2209, 2207, 2205, 2203, 2201?\nAnswer: 2199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -87965094844338 and -0.1.\nAnswer: -87965094844338.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3144136, -6288205, -9432274?\n\"Answer: -3144069*f - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 13 + 3*o)*(-4*o + 4*o - o - 2*o - o + 0*o + (4 - 2 - 1)*(o + 1 - 1)) to the form j*o**2 + f + x*o and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.65 and 0.1.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2616000 rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99c7 (base 13) to base 10.\nAnswer: -21457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*v - 4*v. What is the derivative of -28*h + 8 + 21*h - 1 + v wrt h?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-599)\/(-22762) - (-2*1\/(-95))\/(23\/115)?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/3))**(7\/3)\/(((v\/(v*v\/v**(-6))*v)\/v)\/(v*v*v**(-2\/25))))\/((v*(v*v*v**(2\/21)*v*v)\/v*v)\/(v*v**(3\/8))*(v**1)**(8\/5)) assuming v is positive.\nAnswer: v**(84557\/12600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*(((sqrt(20) - (3 + (sqrt(320) - sqrt(20) - sqrt(20))))**2 + -4)*-2 + 4).\nAnswer: 90 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/8 of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/770747580 and -61\/256915860.\nAnswer: 770747580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2. Let g(x) = -79*x - 2445. Let h be g(-31). Let d(o) be the second derivative of -3\/2*o**3 + 1\/12*o**h + 0*o**2 + 17*o + 0. Give a(d(y)).\nAnswer: -y**4 + 18*y**3 - 81*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 15) to base 10\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 935016 is divided by 114?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in nanograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**3 - 1. Suppose 5*z - o = 2 + 3, -3*z - 5*o + 3 = 0. Let x be r(z). Let s be (-2)\/4 + 10\/x. Solve s*f - 3*f - 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 87, 135, 169, 177, 147, 67?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 6*g - 3*g - 40 = -g, 0 = -3*j - 7*j + 4*g - 90 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**5\/120 + 5*m**4\/6 + m**3\/2 + 3*m. Let i(y) be the second derivative of o(y). Is i(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 944 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-15)\/(-2)*(-8436)\/1665).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59986582, 119973159, 179959736, 239946313, 299932890?\nAnswer: 359919467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1950*y + 978*y + 977*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*a + 4*a**4 - 4*a**3 + 5*a**3 + 8*a - 15*a in the form z*a**4 + q*a + m*a**3 + t + l*a**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19, 42, 71, 106, 147, 194, 247?\n\"Answer: 3*g**2 + 14*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmst when four letters picked without replacement from tsdlldmt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l - 4 + 20*l + 4.\nAnswer: 25*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -11*g**4\/8 - 103*g**3\/6 - g**2 + 1469. Calculate d(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/10 + 6 - (-1)\/5. Let w = 0.3 - 0.17. Let t = 5.13 - w. What is the nearest to 0 in 1, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97981769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**3 + 1173*i**2 - 1176*i = 0.\nAnswer: -392, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 375379, 375431, 375481, 375529, 375575?\n\"Answer: -n**2 + 55*n + 375325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, i: 1, m: 1, j: 1, t: 1}. Give prob of sequence bt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -14.5. Let h = q - -0.5. Let d be 4\/(-2) - (-22)\/8. Which is the closest to h? (a) -5 (b) d (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*i - 4 = 0. Let b be i*28*1\/2. Suppose 0*q = -2*q + b. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 639 + -637. Let p(m) = m**3 - 11*m**2 + 11*m - 5. Let q be p(10). Let f = q + -5. Solve 0 = 5*n - z - 9 - i, n - 5*z - 7 = f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.4, 3\/31, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*m - 3*m + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 12644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpfppvvvfflvvvlulfpv. What is prob of picking 1 v and 1 f?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (744\/840 - 14\/49)\/((715\/(-75))\/11)?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -936, -955, -974, -993, -1012, -1031?\nAnswer: -1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 1, c: 8, a: 6, e: 1}. Give prob of sequence pa.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**3 - 5*s**2 + 7*s + 7. Let b(h) = -h**3 - 2*h**2 + 2*h + 2. Let j(w) = -7*b(w) + 2*o(w). Let i be j(-4). Is i less than 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162 - 161.99891. What is v rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56741 and 3379790?\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54711\/20 + 2735. Find the common denominator of l and -81\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -22*n**2 + 478*n - 951. Give f(2).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010000 - 1010100100001?\nAnswer: -1010010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssb when three letters picked without replacement from tbssaseebtbbbtbt?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 70 = -22*u. Find the second derivative of -a**2 - 4*a**u - 3*a - 156*a**4 + 10*a + 159*a**4 wrt a.\nAnswer: 36*a**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6444*x - 1430513. Give q(222).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 13*b + 14 + 12. Sort 5, -2, 44, -5, b in decreasing order.\nAnswer: 44, 5, -2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-44)\/(-18) - 268\/603 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c - 11*c + 2*c + 6*c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 1400 = -15*n. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*m - 69*m + 147*m = 4*b - 37, -2*m + 49 = 3*b for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l + 20 = 0. Suppose 10*h + l = 5*h. Is -1\/4 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024717 rounded to 4 decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2784001 is divided by 16092?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 2 - (-692 - -716).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-355)\/(-60)*(0 + 1) and 69\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*(13 - 17). What is the nearest to z in -3\/2, 8\/5, -0.3?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 7*n + 6. Suppose 5*w + 23 = 4*r, 4*r - 6*w = -2*w + 24. Let q be j(r). Suppose i - q = -i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8688880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**2 + 6*b + 2. Let a be j(5). Let m be ((-18)\/4)\/(2\/(-44)). Let c = a + m. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -29. Sort q, 3, 0.4.\nAnswer: q, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 2, -2, 55, -200 in decreasing order.\nAnswer: 55, 5, 2, -2, -4, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.09364 nanometers?\nAnswer: 0.00000709364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 - 3*p**2 - 2*p**3 + 24*p**3.\nAnswer: 27*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -318 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2 - 1064480*m + 141639708800 = 0.\nAnswer: 266120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2\/9, 4727, -3\/8, 1\/3 in increasing order.\nAnswer: -0.4, -3\/8, -2\/9, 1\/3, 4727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + sqrt(102)\/((sqrt(6) + sqrt(18)\/sqrt(3) - sqrt(6)) + sqrt(6)) - sqrt(119)\/(sqrt(112)*1 + sqrt(7))).\nAnswer: -16 + 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 442?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 11) in base 5?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**3 + 17*r**2 + 15*r + 6. Let a be l(22). Suppose -3*o + a = -6*o. What is o rounded to the nearest 1000?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**5 - 35*g**4 + 51*g**3 - 13*g**2 = 0.\nAnswer: -13, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a day in minutes?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/5333585 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 70*i**2 + 0*i**3 + 3*i**3 - 67*i**2 + 5*i**3 - i**3 - i**3 + (-2*i - i + 4*i)*(-3*i**2 - i**2 + 2*i**2).\nAnswer: 4*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 10:40 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -i - 1. What is the highest common factor of i and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z = 3*b - 5, 5*b - z = 16. Let y(s) be the third derivative of -1\/120*s**6 + 0*s - s**2 + 0 - 1\/10*s**5 + s**b + 0*s**4. Calculate y(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*i**3*u + 13857*i**3 + i*u**3 + 923*i*u**2 wrt u.\nAnswer: -4*i**3 + 3*i*u**2 + 1846*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48718?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 23 = 5*k, -2*q + 27 = 4*k + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 3. Let v be u(3). Suppose -4*k + 40 = -v*k. Suppose k*y - 75 = 5*y. Solve -2*i + 2*c = 0, 2*c = -i + 6*c - y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 12 = 2*y. Suppose 49 = 30*h - 71. Solve 0 = y*p + 5*x - 25, h*p - 9 = 3*x - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -16 (b) 0.5 (c) -0.9 (d) -4\/23 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.120156 litres?\nAnswer: 120.156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33528821959 + -15.85\nAnswer: 33528821943.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1, -1805\/8, -1\/4, 3\/2, -13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 7:13 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(3\/23))\/v**(-21) assuming v is positive.\nAnswer: v**(503\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u - k - 9, 4*u - 9 = -5*k. Let r = 18 - u. Calculate the remainder when 8 is divided by (-3)\/r + (-13)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 377 - 223. Suppose -4*n - 5 = -41. Suppose -7*g - r = -n*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) - 110\/20. What are the prime factors of (-15)\/(-10)*r\/(60\/(-10216))?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/20 and -13\/456?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, -34, -125, -304, -601, -1046, -1669, -2500?\n\"Answer: -5*c**3 + c**2 - c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**6\/720 - d**5\/120 - 17*d**4\/2 - 6*d. Let y(w) be the third derivative of z(w). Let t(c) = -4*c. Determine -t(f) - 3*y(f).\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -335 + 338. Let l(f) be the first derivative of g - 5\/3*f**3 + 0*f + 0*f**2. Let s(p) = -2*p. Calculate s(l(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21172.659833 rounded to the nearest integer?\nAnswer: -21173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3655603192 to the nearest integer?\nAnswer: 60462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 6907950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -483 - -5935. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 12*b - 1. Let i(q) = -9*q**2 - 23*q + 23. Calculate -i(n) - 2*o(n).\nAnswer: 9*n**2 - n - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -371584 less than -2894240?\nAnswer: -2522656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = o + 25. Suppose -5*a - 5*n = -0*n - 45, 4*n = 2*a + 6. Let h(g) = -2 + 2*g - 3*g + a. Calculate h(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 0 + 13 + 4 - t**3. Let v be h(0). Let i = v + -10. Solve i*d = 2*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 113*f**4\/4 + 5*f**2 - 888*f + 1949. What is the first derivative of k(i) wrt i?\nAnswer: 339*i**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1485*v**2 - 10408*v - 1. What is the lowest common multiple of h(-7) and (0 - 0) + 54\/2?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 + 50989*q + 2599878121.\nAnswer: (q + 101978)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113962222 to the nearest integer?\nAnswer: 10675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbppbppbbbp. What is prob of picking 2 b and 2 p?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - (sqrt(343) + sqrt(343) + -2*sqrt(343) + sqrt(343)))*1 - (sqrt(343) + 2)*-4)**2 - (sqrt(84)\/(2*sqrt(3)) + 2).\nAnswer: 447*sqrt(7) + 5550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 2147\nAnswer: 429.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -81, -121, -161?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 229 - 237. What is the biggest value in s, -0.3, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + 105. Calculate the greatest common divisor of a and 216.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33)\/(-12) + 1\/4. Suppose m*d = 4*d + 60. Let a = d + 182\/3. Is a bigger than -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3)\/(-9)*-6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 5*t - 4 - 15, 10 = c + 4*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780111 is divided by 7501.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266763 is divided by 2964.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, o: 2, z: 2, f: 4, k: 2}. What is prob of sequence zgo?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 146\/3358 + (-3180)\/(-3036)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1110*f = 1250 - 1954 - 3736 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 478 = 5*g + 3*v, -380 = -4*g - 2*v. Let k = -86 + g. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 11*z**2 - 173*z - 572. Let s(l) = -300*l**2 + 4670*l + 15445. Let t(d) = 55*n(d) + 2*s(d). Suppose t(i) = 0. Calculate i.\nAnswer: -3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*j - 35*j - 3*j + 0*j.\nAnswer: -60*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 648 and 7420?\nAnswer: 1202040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 5*s**2 - 10*s - 21. Let d be k(-6). Is (-58)\/d*873\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1541*p - 99256 + 170142 = 0 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5927\/7 - -847. Determine y so that c*y**2 + 0 + 2\/7*y = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 5*s**2 + 2*s - 5. Let b be w(5). Find the third derivative of 3*a**4 - a**2 + 9*a**5 - 3*a**4 - a**b wrt a.\nAnswer: 480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68406 and 507?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100011001001001001 (base 2) in base 10?\nAnswer: 668233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/10 of a century?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10302200000230 + 1?\nAnswer: 10302200000231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 5*c - 11. Let x(d) = -2*d - 26. Let s be x(-9). Let v be q(s). What is the highest common divisor of 65 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 + 98.6. Let m = 1.6 - l. Let y = m + 9.5. Which is the second biggest value? (a) y (b) -2\/9 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(78)*1)\/sqrt(6).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 y when three letters picked without replacement from {f: 1, l: 11, y: 3}.\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/4))**(-14)*(f*f*((f**(-1\/3)*f)\/f)\/f)**(6\/7) assuming f is positive.\nAnswer: f**(-139\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 4*w - 5*o + 1186, -5*w + 5*o = -1460. What is the remainder when w is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1653, -3550, -5447, -7344, -9241?\nAnswer: -11138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.06 (b) 133.7 (c) -1.1 (d) 1 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -113.79 (b) 0.4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43303926 and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*j = -196 + 305 - 179. Factor -15\/2*h**3 + 0 + 6*h - 12*h**j.\nAnswer: -3*h*(h + 2)*(5*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0.9 (c) 4 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - c**2 + 3*c - 2758. Let f(x) = -3*x**3 + 4*x**2 - 10*x + 8274. Let i(y) = 8*d(y) + 3*f(y). Differentiate i(k) wrt k.\nAnswer: -3*k**2 + 8*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1622169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702 is divided by 256.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2915, 5847, 8797, 11765, 14751?\nAnswer: 17755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*f = -161*f + 6666. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 3*c**2 - 5969027*c**3 - 5969031*c**3 + 11938083*c**3.\nAnswer: 25*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27476*a**6*u - 24*a**5*u + a**2*u - 3*a**2 - 865*a*u - 8*u wrt a.\nAnswer: -3297120*a**3*u - 1440*a**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -18 + 5 + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 183611822.3 to the nearest 10000.\nAnswer: 183610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-84)\/16*(-19)\/(513\/24)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*b - 1455 = -4*b - 12*b. Solve -18*o + 111 + b = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38301, -152922, -343941, -611346, -955125?\n\"Answer: 2*m**3 - 38211*m**2 - 2*m - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37523 is divided by 18758.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7956*g + 8534 - 8534 - 417*g - g**2 to the form s + p*g + w*g**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by (24\/18)\/(2*(-1)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 12. Suppose y*t - 4*t = 2*v - 16, -2*v - 8 = -4*t. Suppose -t*g - 32 = -112. Calculate the highest common divisor of 160 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525518051 rounded to the nearest 100000?\nAnswer: 525500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24040.13l in millilitres?\nAnswer: 24040130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5909*l + 7064. Is a(-111) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*11\/((-66)\/(-72))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*w - 3*w + 7, 2*y = 3*w. Let c be w + (2 - (4 - 2)). Suppose -z + 4*f - 14 = 0, 4*z - f = 2*f - 17. Sort -3, z, -4, c in ascending order.\nAnswer: -4, -3, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 4*k**2 - k - 14. Let p be x(-5). Is p < -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 12. Let j = 1.3 - 0.9. Which is the closest to l? (a) 3 (b) j (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 46*x**2 + 3*x - 1. Let r be w(1). Let s = r - 51. Put s, 3, -5 in descending order.\nAnswer: 3, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*m*n*r**3 + 112869*m*n + n*r**3 - n*r - 137870*n - r**3 + r**2 wrt m?\nAnswer: -6*n*r**3 + 112869*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*l + 4. Let i(s) = 4*s + 2. Let f = 40 + -38. Let c(u) = u - 1. Let q(r) = f*i(r) + l*c(r). Let v(y) = y**2. What is q(v(a))?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -49) + (-54 - -69) + -43?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(1425\/(-60)))\/(2\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times -2421981?\nAnswer: 24219810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5 = -4*w + 20, -2*j = -3*w + 6. Suppose 2*x - 11720780 - 1283620 = w. Suppose 0 = 4*d - 1537800 - x. Round d to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7983 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/6)\/(2\/12) + 1. Let a be 1\/(-1) - (-4 - 2). Suppose -a*y + u = 9. Let z(g) = -2*g - 1. What is z(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - c**2 + 1)*(4296 - 3094 - 3026) to the form l*c + p + f*c**2 and give f.\nAnswer: 1824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1296 and 453384.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**6\/20 - p**5\/60 - 5*p**4\/6 - 5*p**3 + 43. Let q(r) be the third derivative of o(r). Suppose q(v) = 0. Calculate v.\nAnswer: -1, 10\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-13)\/(b*(b*b*b**(2\/13))\/b))**(3\/43)*(b**(-2\/5)\/(((b*b**(-4))\/b)\/b))\/(b\/(b**(-1\/4)*b*b))**(3\/20) assuming b is positive.\nAnswer: b**(163463\/44720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1021*n + 84094 = 3234*n for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4137*i = 2181*i - 1586*i - 10062*i + 1061112 for i.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:55 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkkzkukzukzkzkk. What is prob of sequence ku?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18522?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -10 - (9 - (8 - (8 - 6))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23867649.8 + 23867651.15999873. Let h = u - 1.36. Round h to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 31*m - 1189. Suppose -m = 5*y + 219. Round y to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171612 divided by -4.\nAnswer: -42903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20.3 (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/24976 and 79\/3176.\nAnswer: 9915472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n = 192. Let f = 68 - 42. Suppose -4 = -4*z + 5*d, 0 = -4*d - 10 + f. Calculate the greatest common factor of z and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**2*s - 57*k**2*t**2 - 4*k**2 - 12*k*s - 24*s*t**2 - 12*s*t wrt t.\nAnswer: -114*k**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/743, -0.3332, -1\/2?\nAnswer: -0.3332","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21770 plus -0.043?\nAnswer: 21769.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 19*b**2 - 67*b + 661. Calculate h(18).\nAnswer: -869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 189\/15 - 4\/(-10). Let y = s + -11. Is y*((-4)\/18 - 441085\/(-342)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 9*j**2 - 17*j + 16. Suppose 0 = 46*x - 41*x - 35. List the prime factors of d(x).\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -570 + 553. Let b(w) = w**3 + 21*w**2 + 70*w + 25. Let d be b(x). Which is smaller: 0.03 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2 - q - 2. Let o(r) = -r**2. Let s be (12\/(-33))\/2 + 790\/110. Suppose 52*j - s = 59*j. Give j*a(z) + 5*o(z).\nAnswer: -z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 34*l**2 + 33*l - 6. Let z be h(-33). Find the common denominator of (-3)\/5 - 659\/(-340) and (9\/216)\/(z\/639).\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -s - 3*s - 24, -3*s = -4*m + 43. Let h = m + -8. Suppose -84 = -4*c - 4*y, 45 = h*c + y + 2*y. Calculate the least common multiple of 14 and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - 3*g + 3*g**4 - 321508*g**3 - 3*g**2 + 320814*g**3 + 2*g to the form d*g + b*g**3 + q + c*g**4 + k*g**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/7*231\/(-198))\/((-21)\/(-9))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*c - 16 = 0. Let j(v) be the third derivative of 0*v + 0*v**3 + 1\/24*v**4 - c*v**2 + 0. Let p(h) = -h**2. Determine p(j(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/v*v)**9\/(v*v**(1\/2))**(26\/3) assuming v is positive.\nAnswer: v**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (46\/(-4) - -3)*-2. Let b = r + -16. Solve b = -p - m, 0*m = 2*p + 4*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + g + 210 = m, 2*m - 81 = g. What is the remainder when 1502 is divided by m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) 0.8 (c) 4 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 397, 4 in descending order.\nAnswer: 397, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 0 + 1 + -1 + 1*sqrt(1584) + sqrt(1584) + (sqrt(1100) + sqrt(1100) + (sqrt(1100) - 5*sqrt(1100)) - (1 + sqrt(891))))**2.\nAnswer: -14*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 0*h = -360. Suppose -2*d = -5*n - d + 74, -2*d = n - 6. Let l = 7 + n. What is the remainder when h is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -55*d**3 - 2*d**2 - d + 8. Determine z(2).\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -41*f**2. Let t(p) = -8*p**2 + 13*p**2 + 2*p**2 - 2*p**2. Determine y(t(m)).\nAnswer: -1025*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -3\/2*s**2 + 8 + 0*s + 1\/4*s**4 + 2\/3*s**3. Determine q so that j(q) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, n: 1, b: 2, u: 5}. What is prob of sequence uube?\nAnswer: 4\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Convert -6c26a (base 14) to base 9.\nAnswer: -442013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43.000000369 - -43. Round l to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -432 + 438. Solve 4*g = x*g + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -500, -2012, -4532, -8060, -12596, -18140?\n\"Answer: -504*v**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 2:24 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccbebbecb. Give prob of sequence becb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5390000 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = v - 39*z + 36*z, 3*v + 4*z + 34 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from {e: 2, o: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2526 - 954. What is the smallest common multiple of i\/156 - (-6)\/(-39) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*(-2 + sqrt(252) - sqrt(252)))**2 + -4 - ((sqrt(252) + 2 + -4)**2 + -1 + 1*sqrt(252) + 4).\nAnswer: -839 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -130, -211?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y**2. Let b(s) be the third derivative of -s**7\/1260 - 45*s**4\/4 + 46*s**2. Let n(c) be the second derivative of b(c). Determine n(u(t)).\nAnswer: -72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2329687kg?\nAnswer: 0.0002329687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(720)*-1 + sqrt(720) - sqrt(720) - sqrt(720)) + sqrt(720))**2 + sqrt(5))*-3 + -3 + sqrt(15)\/(sqrt(3) - (sqrt(12) + sqrt(3))))*2.\nAnswer: -4326 - 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 675223279 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 205*f - 196*f - 72 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 2*t - 1. Let f(q) = 8*q**2 + 119*q + 4. Give f(v) + 6*p(v).\nAnswer: 2*v**2 + 131*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o**3 + 143*o**2 + 30*o - 209. What is p(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1620 and 432.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -103 + 50 + 42 - ((1 - 2) + 19)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -191809 (base 11) in base 8?\nAnswer: -1100330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 1500 - 120. Let w = k - 269. Solve -s = -w - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/4)\/o**(2\/13))\/((o\/o**(-3\/4))\/o*o\/o**13*o) assuming o is positive.\nAnswer: o**(243\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 1 - 1)*(0*r**4 + 3*r**4 - r**4) + (0*r - 2*r**3 + 0*r)*(-3*r**2 + 0*r**2 + 5*r**2) - 12*r**5 + 334*r**3 - 334*r**3.\nAnswer: -18*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(180) + sqrt(180)*-1*4 - (2*sqrt(180)*-2)**2 - 6*(sqrt(180) - ((sqrt(180) - (sqrt(180) + 0)) + sqrt(180))**2)*5).\nAnswer: -5040 + 396*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**4 - 392*c**3 + 5196*c**2 + 128912*c - 1593872 = 0. What is c?\nAnswer: -107, -19, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620)*2*-6 - (-5 + -1 + sqrt(1620)))**2.\nAnswer: -2808*sqrt(5) + 273816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 s when four letters picked without replacement from {s: 5, x: 2, i: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**6 + 465*m**4*v - 26*m**2*v + 4*m*v - 1 wrt m?\nAnswer: 120*m**3 + 11160*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32107 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/5 - 93496*l**2\/5 + 2899842*l\/5 - 21331224\/5 = 0. What is l?\nAnswer: -46779, 12, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-1)*1\/3. Let y(n) = 3*n**2 + 5*n - 5. Let k be y(4). Let g = k - 253\/4. Do m and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 - (-177)\/(-21))\/((-2)\/21). Sort -1, -2, -4, 32, p.\nAnswer: p, -4, -2, -1, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c - 9 = 24*c, -w + 2*c + 18 = 0. Let n = -33 + 68. Which is smaller: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*o - 10*o + 800 + 575 = -95 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*d - 0*d + 8, -5*n + 10 = 0. Is d smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.023553 + 0.028281. What is b rounded to four dps?\nAnswer: 0.0518","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2660 and 32900.\nAnswer: 625100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14.05148 and -211.\nAnswer: -196.94852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 6*l + 5. Let o be w(7). Let s be ((-9)\/(-18))\/(o\/(-12)). Suppose n + 0*n - 177 = -4*f, -4*n + 682 = s*f. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24120529.\nAnswer: 397, 60757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 - d - 102. Calculate the remainder when r(10) is divided by 58.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 27. Let h be 52\/6 + t\/6. Calculate the highest common divisor of 36 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13452, -26868, -40268, -53646, -66996, -80312?\nAnswer: -93588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 9:29 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d\/(d\/d**(-1))*d)\/(d\/d**(-1\/4))**(-24) assuming d is positive.\nAnswer: d**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5077\/210 + -121\/5. Find the common denominator of o and (-2688)\/495 - -7 - (-4)\/10.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 11*d**2 - 9*d - 8. Let n be p(10). Let s(k) = 2*k**2 - k**n - 4*k**2. Let o(j) = 2*j. Determine s(o(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -198*b + 1. Let a be f(-1). Let j = a - 96. What are the prime factors of j?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4099057, -4099078, -4099113, -4099162, -4099225, -4099302?\nAnswer: -4099393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**5\/4 - 7*w**4\/2 + 65*w**3\/4 - 25*w**2 - 9*w + 36 = 0?\nAnswer: -1, 2, 3, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 114593883 + 115806101 = 0. Suppose 4 = 7*k - 3*k. Let q be d\/(-4) + k\/2. What is q rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10353 (base 7) to base 13\nAnswer: 123c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7125422 from -26.\nAnswer: 7125396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 10:00 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4*j - 5. Let v = 0.4839 + -0.4839. Let r be (6\/7 + -1)\/(-1). Which is the closest to j? (a) 0.06 (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (-10)\/6)\/((-8)\/(-12)). Let m = 11 - 17. Let l be (-11)\/2 + (-3)\/m. Sort 1, l, t, -9 in ascending order.\nAnswer: -9, l, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: -15 + -15 + 21 - (2 + -3 - -1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**5 + o**3 - o**2 + o - 1. Let m(k) = 10*k**5 - 35*k**4 + 75*k**3 - 35*k**2 - 85*k + 85. Let q(p) = 5*i(p) + m(p). Let q(d) = 0. Calculate d.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118.946 + -118.94600053423. Round q to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -1\/3*s**3 + 0*s - s**4 + 0*s**2 + 42. Find the third derivative of y(l) wrt l.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1906453949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f - 4*f - 3*f**2 + 5*f**2 - f**2 + 2. Let n be x(-2). Solve n*a = a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000061278 to seven decimal places.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vppzzpzzpphphp. What is prob of sequence hp?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaae when four letters picked without replacement from aaaaaaaaaeeaaaaaaa.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -145081\/9 and -16120 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - ((-170)\/(-25) - 4). What is the nearest to -0.03 in -0.3, -5, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157718324.\nAnswer: 2, 43, 89, 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) 0.3 (c) 2\/11 (d) 0 (e) 539 (f) -0.1 (g) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8345.\nAnswer: 5, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -42382151?\nAnswer: 42382154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5628647 divided by 11\nAnswer: -5628647\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 325790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*m - 24, -4*v + 4562 = 5*m. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yynvhnkq. What is prob of sequence kqvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 6 = -7*d. Let r(b) = -91*b - 88*b - 4 + 264*b - 87*b. Calculate r(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319420 divided by 79855.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -95*c - 110. Let z be h(-15). Suppose -4*w + 2*o = -725 - 597, -4*w = 5*o - z. List the prime factors of w.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + 1 - (-3*(sqrt(7) + sqrt(70)\/sqrt(10)))**2.\nAnswer: -251 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2432221042 (base 5) to base 9\nAnswer: 11721514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774 a factor of 1389770030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -431 - -3463\/8. Suppose -3\/2 - 3\/8*k**2 - j*k = 0. Calculate k.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -3*w - 21, 2*s + 10 = -3*s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -10 + (3 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 3:33 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6 = -3*g. Calculate the remainder when g is divided by ((-14)\/(-35))\/(2 + (-27)\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21116 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*j**2 - 220*j**2 + 404 - 404.\nAnswer: -363*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {m: 4, t: 3, k: 1, g: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10424442 divided by -14\nAnswer: 744603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -206415176 divided by -3\nAnswer: 206415176\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3943*t**3 - 20*t**2 + 2 wrt t?\nAnswer: -23658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-11) + (-22)\/(-121). Suppose k = -5*f + 294 + 6. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -65\/3*v**4 + 0 + 162*v - 1\/3*v**3 + 16*v**2. Find the second derivative of g(z) wrt z.\nAnswer: -520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -67, -82, -97, -112, -127?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 626, 985, 1344?\nAnswer: 1703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 - 58. Let f(k) = 4*k**2 + 27*k + 133. Let n be f(-5). Suppose 3*y = -3*l + 100 + 23, -3*l + n = -2*y. Which is bigger: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (3 + 15 + -4 + -23)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.35786 litres to millilitres.\nAnswer: 33357.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 35 = 3*r, 0 = -2*r + 8 + 2. Suppose 4*t + 2 = n. Let c be t\/6 - (-2)\/3. Which is smaller: c or -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.907*-416\nAnswer: -5785.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 0.2 (b) 5 (c) 1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 546, 543, 530, 501, 450, 371, 258?\n\"Answer: -z**3 + z**2 + z + 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69741189 is divided by 544853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.7 - 3.7919105.\nAnswer: -25.4919105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1524629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k*k\/k**(-5\/7)))\/k**(-1\/10))\/(k**(-5\/6)\/(k*k*k**(-3\/13))) assuming k is positive.\nAnswer: k**(1349\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = s - 6 - 9, 4*x + 3*s - 23 = 0. Solve 1 = -m - 5*t - x, 0 = -3*m + 3*t + 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00063511 to five decimal places.\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.12 + 2.119762. Round h to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9120796.08 rounded to the nearest 1000?\nAnswer: 9121000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 1\/6*l**3 + 6*l**2 + 0*l + 1\/6*l**4 + 0 - 1\/60*l**5. Determine v(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 770 - 5*r + r - 770.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {a: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.32 - 0.02. Let a(x) = -x**2 + 5*x + 6. Let c be a(6). Let u(s) = -s**3 + 5*s**2 - 3. Let j be u(5). What is the nearest to c in w, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 + 134 = 6*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 1:51 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -266, -726, -1378, -2228, -3282?\nAnswer: -4546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11154784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**5\/40 - c**4\/6 - c**3\/3 + 2*c + 19. Factor v(q).\nAnswer: -q*(q + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**5 + 280*n**4 + 23580*n**3 + 394630*n**2 + 398905*n - 22017390 = 0.\nAnswer: -19, 6, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-6)*(-12)\/(-54). Let h be 6\/15 - (-7)\/(-5). Which is bigger: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -48 - 81 + 177*j + 3*j**3 + 48 - 51 - 48*j**2 = 0.\nAnswer: 1, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -235 by 593.\nAnswer: -235\/593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 14*l**2 - 18 + 14 + 0.\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 - 4)*(y + 5*y - 3*y) - 3*y + 4*y + y + (6*y - 2*y - 2*y)*(4 - 4 + 4) as v + k*y and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + 0 - (sqrt(165)\/sqrt(3))\/sqrt(5).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(171) - (sqrt(171) + -1))*-5*-5 - (2 + sqrt(171)*2 + (-1 + sqrt(171) + sqrt(171) - sqrt(171))*2)))**2 + -2.\nAnswer: -600*sqrt(19) + 3359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*t + 45*t - 294 = 0. Let l = -1.3 - -1.6. Which is the closest to 2\/7? (a) l (b) t (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**6\/3 - b**3\/3 - 6. What is the third derivative of t(i) wrt i?\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4464987 (base 10) to base 8\nAnswer: 21020533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r. Let a = -6 + 2. Let w be k(a). Suppose 0 = -w*q + 37 + 7. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*y + 2*x, -5*x = -5*y - 9*x - 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107295*m**4 - 119*m - 68 wrt m.\nAnswer: 1287540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(12)\/sqrt(6)*-2 + 5.\nAnswer: -4*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6740, -14510, -22280, -30050, -37820?\n\"Answer: -7770*s + 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -4. Let f = -2 - j. Put 4, -5, f in ascending order.\nAnswer: -5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r - 7. Let s be n(3). Suppose 0 = -5*c + 5*p + 11 - 6, -s*p + 28 = 4*c. Solve -4*a - c = -1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1822169, 3644341, 5466513, 7288685, 9110857?\n\"Answer: 1822172*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 + -1.6. Let b = 3 + v. Let j(s) = s**2 - 6*s + 1. Let n be j(6). What is the nearest to n in -0.2, -1\/8, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/4, 0, -308, 1, -4 in descending order.\nAnswer: 2, 1, 0, -3\/4, -4, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -26529*y**2 - 17*y - 28. Let v be s(-12). What is v rounded to the nearest one hundred thousand?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212 (base 4) to base 5.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311322013330 + 2?\nAnswer: -311322013322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 n when three letters picked without replacement from {m: 2, n: 6}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-4)))\/(h\/h**10)*((h\/(h**2*h))\/h)**(-27))**(-7\/2) assuming h is positive.\nAnswer: h**(-329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/90 and 101\/42?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -412 - -414. Suppose -90 = -5*c - 0*c + 2*q, 0 = -x*c + 3*q + 25. Suppose 0*p + p + 3*v = 5, 20 = 4*p - v. What is the highest common factor of c and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 6*u**2 - 5*u + 24. Let g be m(6). Is 135186\/22 + -6 + g\/(-33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*v - 30004 = 50*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129 + 396. Suppose -243 = 4*k - 995. Let p = u - k. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -1 - 3*n**2 - 2*n + n**2 + n**2. Suppose -2*w - w = -9. Let h be (-1)\/w*(5 - 2). Give d(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1462 - 376 = 0. Let a = -3922 - p. Is (-2)\/(-9) + a\/(-36) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -972 - -1580. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324346 is divided by 369.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from loutututltttull. What is prob of sequence ltlu?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*f = 58, p + 50 = -3*f - 2*f. Let o be -2*(1 + p\/2). Differentiate 3*l**2 + 5*l**2 - 56 + o with respect to l.\nAnswer: 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 - 100001110111001100011?\nAnswer: -100001110111001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18363\/7 less than 2624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12*g - 240 = 0. Let k be 114\/(-670) - 6\/g. Let u = k - -21\/1541. Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9181726327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22849994, 22849980, 22849966, 22849952?\nAnswer: 22849938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 14 + 8 = 10*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2537 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:52 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-102) - (-14)\/2618*11\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 973480 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 34*k**3 + 8*k**2 + 2*k + 11. Let n(p) = 11*p**3 + 3*p**2 + p + 4. Calculate 3*f(m) - 8*n(m).\nAnswer: 14*m**3 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 - 8*a**2 - 12*a - 4. What is k(-4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 1, -1, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x - 2*x + x**2 + 9*x + 5*x**3 - 2*x. Let j be n(1). Suppose 5*m - j*l = 105, 2*l + 3*l = -25. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260)\/(sqrt(20)\/(2*sqrt(4)))*-4)\/(sqrt(16)\/sqrt(4)*2 - -6*(sqrt(4) + sqrt(100)))*-2)**2.\nAnswer: 832\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/16 - (-1 - 0)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -173\/3 - -115\/2. Let g be (-16)\/18*18\/12. Which is the second smallest value? (a) 7 (b) g (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 40 - 46. Solve 9*i = 10*i - x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = -0*s. Suppose -2*g + 3*c + 4 = c, -4*c = -g - s. Solve i + 4 = g*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115408963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 8*h**2 - 7*h - 6. Suppose 2*k = k + 6. Let w be b(k). Let m(x) = -3*x - 3. Let u be m(-5). What is the highest common divisor of w and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 18. Let q be 20\/9 + (-8)\/36. Let m = q + 1. Solve -4*t + u*t = -m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-56))\/(3\/(-189)*-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*j + 119, -5*j - 11 = 14. Let n(f) = -f**3 + 43. Let u be n(0). Calculate the highest common divisor of x and u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 2*n**2 - 4*n + 2. Let m be t(2). Let s = m + 10. Suppose -s*y + 2 + 11 = -k, -2*k = -5*y + 20. Solve -4*j = -3*j - y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(2279*p - 242*p**2 - 2279*p).\nAnswer: 242*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 w when four letters picked without replacement from {w: 3, b: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 9. Let t(n) = n. Let q(r) = 4*t(r) + x(r). Suppose -7 = -2*g + 7. List the prime factors of q(g).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, -18, -19, -22?\n\"Answer: -q**2 + 4*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 327330 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 + 98*y**2 + 4. Let a(q) = 7*q**3 - 196*q**2 - 10. Determine -2*a(p) - 5*n(p).\nAnswer: p**3 - 98*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 11:46 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/9 - 75760*l**2\/3 - 303026*l\/3 + 1136360\/9 = 0.\nAnswer: -113636, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 403933262 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*j + 9 = 0, -4*a + 0*j - 24 = 4*j. Let f = 0 - a. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/293, 0.05, -5?\nAnswer: -2\/293","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.61 + -2.39. What is the closest to 1 in -0.2, l, -12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0564 + 1.4.\nAnswer: 1.3436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a + 1. Let y(n) = 81*n - 18. Let i(o) = -33*w(o) - 2*y(o). What is i(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1136 divided by 15\nAnswer: -1136\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1 - 15*x - 4 + 1. Calculate the remainder when d(-3) is divided by 1*16 + 2\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 139 - 13. Let k be 24\/t - (-4)\/6. What is the closest to -1 in k, 1\/11, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 55*w**3\/6 - 3988*w**2\/3 - 32593*w\/6 - 2831\/3 = 0. What is w?\nAnswer: -19\/5, -2\/11, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/693*11*-1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 3:23 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*j**5 + 3*j**5 - 6*j**5 + j**2 + j**5 - j**2 + (-j**2 + j**2 - 2*j**2)*(-2*j**3 - j**2 + j**2) - 2*j**2 + 2*j**2 + j**5 + 2*j**5 - j**3 + j**3.\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 5:13 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5875\/46 + -810\/23. Let g = -92 + m. Suppose -g*i + 1\/4*i**4 + 0*i**2 + 1\/2*i**3 - 1\/4 = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 11 - 4 = -5*s, 0 = -4*s + n + 12. Suppose s*h - 4 = h. Solve 5*o**2 - 3*o**h + 3 + 0*o**2 - 4 - o**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 4685112?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 138 - h + 5 + 118 + 15.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.6? (a) 1\/10 (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27\/32 + 12765\/224. Suppose -170 = 3*d + r, 12*r = 2*d + 11*r + 110. Let x = d + t. Find the common denominator of -29\/14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 4*j = 0, -2*s - 3*j = 42 - 59 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*v = 2*p - 233, 2*v - 491 = p. Calculate the highest common divisor of 18 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5001, -10052, -15103, -20154?\n\"Answer: -5051*y + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 7*k + 24 = 0. Suppose 0 = -r + 4*a - 7, 0 = -r + 2*a - k - 0. Solve -m + 4*t = -0 - 4, -r = t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13320739*c**4*x + c**2*x**3 - 47*x**3 - 5*x**2 - 2695*x wrt c.\nAnswer: 53282956*c**3*x + 2*c*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*u - 2*u + 3*g, 5*g + 2 = 3*u. Let x(v) = v**2 - 9*v + 3. Let b be x(9). Suppose 0 = -d - b*d. Solve -u*a + 4*z = d, -4 - 16 = 4*z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + (sqrt(304)*-1 - sqrt(304))**2)*3 + (2*sqrt(304) + 1 - (sqrt(304)*-1*-3)**2)*3.\nAnswer: -22737 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13103321 (base 4) to base 10\nAnswer: 29945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - -21143?\nAnswer: 21157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3333, -30044, -102557, -243774, -476597, -823928?\nAnswer: -1308669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 3*x + 125 - 165 = 0, 0 = -2*x - 24 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60733 - 61760 + 116273 - 2*a**2 + (-3 + 3 + a)*(-2*a + 2 - 2) to the form b*a**2 + n + m*a and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 22813771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 5, -9\/316?\nAnswer: -9\/316","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, c: 4, g: 5}. Give prob of sequence ctc.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -5*u**4\/12 + 5*u**3\/6 - 5*u**2\/2 + u - 2. Let q(t) = -2*t**2 + 2*t - 2. What is 8*q(p) - 3*w(p)?\nAnswer: -p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, f: 3}. Give prob of picking 3 f.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 0 + 0*u + 1\/12*u**4 - 1\/60*u**5 + 1\/2*u**3 - u**2. Calculate r(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -q + 4. Let p be 1095\/q - (-2)\/(-3). Let h = p + -66. What is the remainder when h is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548*b - 44 + 2759*b - 550*b - 559*b - 554*b - 554*b.\nAnswer: -6*b - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*y**2 - 1 + 19*y**2 + 1633*y**4 + 17*y**3 - 1630*y**4 to l*y**4 + a*y**2 + d*y + b + k*y**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*g**5 + 19*g**4 - 19*g**4 + (-g + g + 2*g)*(g**3 - 2*g**3 - g**3)*(-4 - 1 - 1 + 2*g).\nAnswer: 7*g**5 + 24*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 298*h**2 - 598*h**2 + 298*h**2. Let j(o) be the third derivative of 0*o + 0*o**3 - o**2 + 0 - 1\/8*o**4. Calculate j(y(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8*(5838\/(-24))\/(-7). Suppose -3*o + 5*u = o - r, -2*u - 284 = -4*o. 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 smallest common multiple of 48 and 168\/10*(19 + -5 + 31)?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115243413 is divided by 82?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36.39 - -531.14. Let m = -6.75 + k. Let h = m + -488.0207. What is h rounded to 3 decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, 2\/11, 0.719984?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 1008*a + 7317. Let p be z(0). Calculate the highest common divisor of 135 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**8\/840 - u**4\/12 + u**3 - 4*u. Let d(m) be the second derivative of j(m). What is the derivative of d(c) wrt c?\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*1*6 - (-2*sqrt(1539) + 5))**2.\nAnswer: -720*sqrt(19) + 98521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-4))\/((-3)\/(-18)*-3). Solve -2*f - a*f + 13 = -2*i, -4*i = 4*f + 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 33*z**2 + 268*z - 192. Let y be r(12). Let p = 1 + -2. Let c be -2 + (p - -2) + 16. Solve 4*j - j + c = y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(1458) - (1 + sqrt(1458)*-1)) + (sqrt(18) + sqrt(18)*1)*5 + 4*sqrt(18)*1)**2.\nAnswer: -192*sqrt(2) + 18438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 74\/119 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6\/11)*k*k)**(-1\/4)*(k\/(k\/k**8))**(1\/34))**(3\/8) assuming k is positive.\nAnswer: k**(-9\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-16))\/((-5)\/6).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + 1 + sqrt(343) - (5 + -1 + sqrt(343))) + (sqrt(343) + 5*(sqrt(343) + -1) - (1 + sqrt(343))*-6) + -3)**2.\nAnswer: 49392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7040.456 millimeters?\nAnswer: 7040456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 - 21*k - 77. Let q be j(-5). Calculate the greatest common divisor of 104 and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*o**3\/4 - 325*o**2\/4 + 25*o\/2 = 0. Calculate o.\nAnswer: 0, 10\/63, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r = -4*g - 15, 4*r = -2*g + 10. Let m be 3 + (2 - 2)\/2. Suppose 0 = -r*i + 2*h + 126, 2*h - 5*h = m*i - 84. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18669794 is divided by 98262.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -76913 * 5.73\nAnswer: -440711.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1263, -2571, -3905, -5265, -6651?\nAnswer: -8063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -43481187406981\nAnswer: 43481187406979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 1)\/(-3 - -5). Suppose g = -4*d + 12, -8*n + 4*n - 4*d = -100. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 484459 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1840938 + 33162\nAnswer: -1807776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.15 take away 0.1?\nAnswer: 58.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3*k + 15 = 3*l, -4*l + 2*k - 12 = 0. Let x be 22\/4 - l\/(-2). Suppose 6*v - 20 = 4*v + x*o, 2*v + 5*o = 0. Solve -4*r - v + 1 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 372*o + 752. Let a be j(-2). Let z(u) = 7*u**2 + 5*u + 4. Let h(r) = -20*r**2 - 14*r - 12. What is a*z(d) + 3*h(d)?\nAnswer: -4*d**2 - 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.015286986 - 41.015388986. Let j = 30 - -11. Let h = a + j. What is h rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130.46 centuries in millennia?\nAnswer: 113.046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 74. What is the highest common factor of z and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2 - 45*g + 10. What is o(-15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*j - 83*j + 280 = -43*j - 434 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30657026.\nAnswer: 2, 15328513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*k - 170, 235 = 4*k - 6*h + 7*h. Let r be 2392\/k - (-12)\/90. What is the greatest common factor of 200 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + -1 + -4 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -490.7, 94, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -169530 to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3936100.7 days?\nAnswer: 562300.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 15*b**2 - 7*b - 100. Let j be f(14). Sort j, -3, -8 in ascending order.\nAnswer: -8, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 359 - 357. Let t = 12 - 8. Suppose 0*l - t*i + 44 = 4*l, -25 = -5*i. Calculate the smallest common multiple of h and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6059 - 3232 - 2827 + 2*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2 + 4. Let s be (-15)\/(-3)*z\/(-5). Suppose 70 = 3*k + s*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 18721, -0.3, -2, 4?\nAnswer: 18721","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqjm when four letters picked without replacement from {m: 3, x: 1, k: 2, p: 1, q: 5, j: 1}.\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.9 and 0.1999.\nAnswer: -0.77961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16559 + -9780. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 5*g + 2. Let j be i(6). Let w be (j\/(-6 + 2))\/(-1). Does 28 divide ((-5)\/w)\/(2\/188)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/10)\/(63*12\/270).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y - 3*y - 3*y)*(-2*y**2 - 1 + 1) + 1 - 1 + y**3 + 3034*y**3 + 3*y + 2925*y**3 - 6071*y**3 + 4 to q + h*y**3 + i*y + s*y**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*q**2 - 7*q - 202 wrt q.\nAnswer: -10*q - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*b + 3*a, 0*b + a = 2*b - 9. Let w = -13 - -9. Put 1, b, -5, w in decreasing order.\nAnswer: b, 1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 803382289*z**3 + 51571079*z - 2 wrt z?\nAnswer: 4820293734*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, a: 1, k: 1, w: 2, q: 2, g: 1}. Give prob of picking 1 w and 1 q.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*p = 186*p + 260*p - 8084 - 15716 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1391927*j + 1391285*j - 23112 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11605 and 442045?\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 81*t + 1056. What is the tens digit of i(28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 - 0.13. Let i = -133 - -132.9445. Let l = k - i. Round l to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 5.8, 5\/2, -3, -13?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -12*j + 0 + 0*j**2 + 1\/3*j**3. Let q(d) be the third derivative of d**4\/12 + d**2. Determine q(y(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 7*b**4\/3 - 162*b**3 + 2060*b**2 - 19112*b\/3 + 5760 = 0?\nAnswer: 2, 80\/7, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by (-10)\/(-4)*(-168)\/(-60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 60*g - 53*g + 55*g + 0 + 3.\nAnswer: 62*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 2 - 5 - 64*h - 2 + 3 to the form u*h + d and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -39. Let f be (b - 6) + (-3)\/(2\/(-2)). Which is smaller: f or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3859574, 3859823, 3860238, 3860819?\nAnswer: 3861566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-6 - -12 - 9 - -5 - -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29916, 7, 44, 5 in ascending order.\nAnswer: 5, 7, 44, 29916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -141 (c) 7\/822\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.045632 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 989877385?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 389 - 385. Solve q = -v - 0*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-4)*f)\/((f\/(f\/f**(-5)))\/f*f))\/(f*f**(-1\/3))**(-3) assuming f is positive.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -53176250 divided by 5317625\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 870207?\nAnswer: -870201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 130707 divided by 43569\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4230, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13110*f - 13103*f + 50*f**2 - 2 + 2 to the form b + n*f**2 + p*f and give n.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 5b2?\nAnswer: -5b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -59, -234, -517, -902, -1383?\n\"Answer: d**3 - 60*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8251 - -2?\nAnswer: 8253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 + 3*x**3 - x**3 + x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*g - 68*g + 195. Let t(a) be the third derivative of 0*a**3 + 0*a + 0 + 12*a**2 - 1\/150*a**g + 1\/375*a**6 + 1\/300*a**4. Factor t(z).\nAnswer: 2*z*(z - 1)*(4*z - 1)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (22\/4)\/((-26)\/(-624)). Let k = -114 + 210. Let x = c - k. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgj when three letters picked without replacement from {o: 6, h: 1, n: 1, j: 1, g: 1, c: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okd when three letters picked without replacement from rodkodkddooddodokrd?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + 25. Let i(u) = -87*u + 181*u - o*u - 23. Let m(t) = -6*t + 11. Let v(c) = -2*i(c) - 5*m(c). Differentiate v(w) with respect to w.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -91 + 19 + -13. Let p be (-99)\/q + -6 + 5. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 - 18*r**2 - 955*r - 1217. Calculate z(-17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfjnfz. Give prob of picking 1 f and 1 j.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22973, 22928, 22883, 22838, 22793?\nAnswer: 22748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 147853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 79657.194 rounded to the nearest one hundred?\nAnswer: 79700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from {o: 1, t: 4, k: 2, s: 8}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*p + 2137 = 0, -5*c + 7*p = 9*p - 2133. What is the remainder when c is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117382.272 rounded to the nearest one thousand?\nAnswer: 1117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135 + -135.2. Let u = -4 + 3.85. Let v = u + -7.85. Which is bigger: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**5 + 1425*s**4 + 65274*s**3 - 68118*s**2 - 65271*s + 66693 = 0?\nAnswer: -43, -1, 1, 517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -741, 25, -5.\nAnswer: -741, -5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v + 37 - 2*v**3 - 3*v - 249 - 3*v.\nAnswer: -2*v**3 - 212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -58\/5, -5, 38, 0, -1\/11 in descending order.\nAnswer: 38, 0.3, 0, -1\/11, -5, -58\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16325500 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5487980*d**3*j**3 + 1401056*d**3 - 3*d - 2*j**3 wrt j?\nAnswer: 16463940*d**3*j**2 - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7505144 times 0.2?\nAnswer: 1501028.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-26\/9)\/r*r)\/r**(-10\/7)*r\/((r\/(r\/r**(-4\/7)))\/r)*r\/((r*r\/(r\/r**(-17)*r))\/r)*r assuming r is positive.\nAnswer: r**(190\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -24*g**2 + 21*g + 147. Let f(o) = 25*o**2 - 22*o - 154. Let q(k) = -22*d(k) - 21*f(k). Let c = 2 - -1. Let x(a) = 4 - 4 - c*a. What is q(x(n))?\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 42 = -7*u. Let n = u + 40. What is the remainder when n is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, a: 7, e: 2, t: 4, i: 2}. Give prob of sequence ie.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 182201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -706\/143 - -56\/11. Which is the nearest to 1? (a) -1\/9 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -45997835854 and -22.7.\nAnswer: -45997835876.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -91136 divided by 3\nAnswer: -91136\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15119 = -1284*h - 34957 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 1\/6, 2\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -28 - 51*g + 187*g + g**2 - 44*g - 52*g - 52*g. What is q(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7920\/385)\/((-92)\/(-161)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*a**3*g**3 - 2*a**3*g**2 + 48*a**3*g + 3*a**2*g**3 - 773*a**2 wrt a?\nAnswer: -54*g**3 - 12*g**2 + 288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4678 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y - 1 + 0*y)*(4 + y - 4 + (0*y - y + 8*y)*(3 - 2 + 2) + 3*y + 5*y - 6*y).\nAnswer: 24*y**2 - 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 8*z + 15. Let u be r(-2). Solve -h - u = a - 0, 2 = -2*h + 2*a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1922, 5 in ascending order.\nAnswer: -1922, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 17 = -2*x - 2*x, 5 = x. Suppose 2*f - 25 + 47 = 0. Is (f + 14)*37\/k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 32.6\nAnswer: 228.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12504 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-7) - (-86)\/7. Let h = -19306 + 19402. Calculate the highest common divisor of j and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 277 = 68. Round o to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 2 - 80\/(-10))*(-46 - -45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 4, y: 3, i: 2, e: 1}. What is prob of picking 1 e, 1 a, and 1 i?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/4*2*6. Let p be c\/(-3*(-3)\/18). Suppose -f - 5*h = p, -5*h = -4*f + 35 - 9. Solve 2*s - 4*s + f = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8499*h**3*i**2 + 2*h**3*i + 58*h**3 - 3116*h**2 + 6531*i**2 wrt h.\nAnswer: 50994*i**2 + 12*i + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14*(-3)\/8)\/((-21)\/84). Let l = 40 - 17. Let h = l - y. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 17 = 2*d - 5, 2*d + 30 = 4*l. Let c = d - -74. Calculate the greatest common divisor of 84 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2162, 4325, 6488?\nAnswer: 8651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**2 - 156*r - 152 = 0.\nAnswer: -38, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 6. Let x be 2\/4*-6*(-4)\/(-3). Determine a(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15542936 and 328.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1113*r + 1118*r - 37 = -4*l, 3*l = -4*r + 28 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*h + 145, -3*v + 3*h + 36 = -57. Differentiate 7 - 3*n**3 + v - 8 - n**3 wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + (1648\/(-128) + 14 - -30).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 8:56 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 160264 to the power of 1\/2, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) + (sqrt(200) + (1*sqrt(200) - sqrt(200)))*-1 - sqrt(200)) + sqrt(200) + sqrt(200))\/sqrt(5))\/(1*sqrt(72)*-4)*5.\nAnswer: -5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 - 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/16)\/((-5)\/((-120)\/(-22)))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.12, 4, -1\/9, 4\/9, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-28)*((-36)\/(-72))\/(6\/8)*36.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/140*5)\/(27\/4158)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7443 (base 10) to base 13.\nAnswer: -3507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -1\/23, -4, 5, -5, 0.026?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59557877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -14. Let q = j - -16.32. What is q rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 85\/25 - (-4)\/(-10). Let y be (3 - 3)\/(-1) + b. Suppose -2*s - 2 = -y*s. Solve -s*c = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.820710517 + -15602?\nAnswer: -15600.179289483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 2 - 2) + 6*1. Suppose 3*u + 2*u - 230 = 4*o, -n*o + 165 = 3*u. Does 25 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 220206 = 220209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 q when four letters picked without replacement from ggqqg.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53678 is divided by 13407.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16\/5 - -17\/5. Let s(n) be the second derivative of 0*n**2 + d*n**5 - 1\/3*n**4 + 0*n**3 + 4*n + 0. What is the third derivative of s(z) wrt z?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26173.9 rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -1293b?\nAnswer: -1293a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4135 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 4*i + 3*i)*(-1 + i + 1 + (-i + i - 2*i)*(0 + 3 - 1) + 2 - 2 + i - 2 + 2 - i)*(2011 - 1431 + 2064).\nAnswer: -31728*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-75027)\/(-623) - (-4)\/7. Calculate the highest common factor of t and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, e: 3, y: 4, i: 1, m: 7}. Give prob of sequence iyc.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -30.709 (b) 3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -519.503765 and 2.2?\nAnswer: 521.703765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q + 142. Let r be w(13). Suppose r*n = 62*n + 2. What is the least common multiple of n and 274?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/63)\/(7\/(77\/418))*7.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 37391740 to the nearest 10000.\nAnswer: 37390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1530.99 grams?\nAnswer: 0.00153099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + -1 - -6 - 1) + 2 + 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34104)\/48)\/29 - (-36)\/(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -1092d1?\nAnswer: 1092d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + 2*y + 2. Let i(l) = -10*l**2 + 10*l + 11. Give 2*i(d) - 11*v(d).\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2937, 2789, 2529, 2145, 1625, 957, 129?\n\"Answer: -2*h**3 - 44*h**2 - 2*h + 2985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 449188281 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 21 + 11)*(k + 0 + 0)*(9 + 52 + 24).\nAnswer: -1955*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 - 64*c + 7. Let p(b) = 20*b**2 - 386*b + 43. Give -4*p(i) + 26*z(i).\nAnswer: -2*i**2 - 120*i + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28880\/853 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d**3*v*z**2 - 19557*d**3*v - 15*d**3*z**2 + 5*d**2*z**2 - 5*d**2*z - 24*d**2 wrt v.\nAnswer: 4*d**3*z**2 - 19557*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -464, -508, -556, -614, -688, -784, -908?\n\"Answer: -z**3 + 4*z**2 - 49*z - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n + 7*n - 9*n + (n + 3*n - 2*n)*(-2 - 3 - 3) + n - 6*n + 3*n + (-3 + 1 + 1)*(-3*n + 2*n + 2*n) to q + l*n and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -504 + 503. Let i(q) = q**3 + q**2 - q - 1. Let o(y) = -27*y**3 - 3*y**2 + 2*y - 119. Let h(d) = f*o(d) - 2*i(d). Differentiate h(p) with respect to p.\nAnswer: 75*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 41. Suppose 23 = 4*j - j - c*q, -2*q - 2 = 0. Let p(h) = h**3 - 5*h**2 - 4*h - 8. What is the remainder when j is divided by p(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15645603 (base 8) to base 12\nAnswer: 1269143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 5*l + 7. Let r be g(5). Let h(n) = -4*n - 4*n - 1 + 13*n. Let o(s) = 11*s - 2. Suppose 2 = 5*x + 17. What is r*h(b) + x*o(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 - 235*m - 550. Let f be w(61). Is f < 2\/15933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.5999924 + 4.6. Round c to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 + 44*i**2 + 147*i + 51. Calculate s(25).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -184*d**2 + 2*d. Let t(f) = 4*f - 22. Calculate t(c(z)).\nAnswer: -736*z**2 + 8*z - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14*186\/868*-2*(-1)\/6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0.5. Let d = -0.2 - 0. Let u = 0.083 - -0.917. What is the nearest to 0 in d, f, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = 17*j - 53. Suppose -j = 4*f + 7. Is 10*1893\/12*(-12)\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 740848?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (93\/(-9))\/((-3 - 1)\/12). What is the derivative of 24*m**2 - 19 + 4 + s + 22 wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 5*y**2 - y**2)*(3 + 5*y + 1 - 3).\nAnswer: 15*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7\/2 (b) 21 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/98 and 101\/126.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91017351 to the power of 1\/2, to the nearest integer?\nAnswer: 9540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.064 + -0.074. Which is the closest to 2? (a) 5 (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from {e: 1, b: 2, r: 3, c: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -139*n**3 - n**2 + 10*n + 18. What are the prime factors of a(-2)?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 915\/28, -3.8 in descending order.\nAnswer: 915\/28, 6, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -55*i - 335. Calculate o(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269306 is divided by 89765?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*t = -424196 + 427882 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*w - 65 = 0, 45 = 2*m + 19*w - 24*w. Let d(k) = -k**3 + 6*k**2 - 6*k. Calculate the smallest common multiple of d(4) and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 6:57 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 - 63*h**2 - 417*h - 23. Let c be z(-22). Let x = -19 - 26. Are c and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5249523635?\nAnswer: 5, 43, 349, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -177 - -1771\/10. Let w(b) be the second derivative of -a*b**6 + 0*b**3 + 0 + 2*b - 1\/3*b**4 + 0*b**5 + 0*b**2. Find the third derivative of w(y) wrt y.\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 12 = 11*b + s, 0 = 3*s - 12. Solve 0 = o + 2, o = -2*k - b*o - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/18 + (-17750)\/(-3195). Solve 10 - 26 = 5*d - 3*f, -3*d = f + n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1550, -3103, -4656, -6209?\n\"Answer: -1553*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(42)\/(sqrt(6)*1).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 9. Let n be m(-10). Let b = n - 0. Let v = b + 21. Solve -3*y - 2*i + 5 = 0, -36 + 6 = -4*y + v*i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/(-40))\/(7\/112))\/((-338)\/(-13))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 28*n**2 + 3*n + 90. Let f be g(-28). Solve 7*x + 5 = f*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*a - 21*a + 7*f + 23 = -68*a, -5*a + 4*f = -71 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvwvhcuhcvhvhwv. What is prob of sequence ucv?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 692 divide 3378478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 939.70967+283282\nAnswer: 284221.70967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - j - 1. Let k(s) be the second derivative of -7*s**5\/20 + s**4\/12 + s**3 + 3*s**2 + 2*s. Let y(b) = 6*c(b) + k(b). Solve y(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/3*1\/(-3))\/(337\/(-674)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/7))**46\/(((p\/(p\/(((p\/(p*p**(-1)*p))\/p)\/p*p)))\/p)\/p)**(-50) assuming p is positive.\nAnswer: p**(-820\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 3*b = 6*g + 32, 0 = g - 8*b + 21 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 260\/3 equal to 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 54*m**2 - 369*m + 42. Let h be n(46). Which is the third smallest value? (a) 0.1 (b) 38 (c) h (d) 0 (e) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28599 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -1, -3\/4, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21233397 or 21233400?\nAnswer: 21233400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44\/3*(-4 - -7). Is 339\/11 + 8\/p a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -56 + 59 + 20*f + 19*f. Let k be r(-1). What is the common denominator of 36 and (-2)\/(-9) - 739\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591678 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + (23 - 26 - (-2 - -9))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52*c**2*p - 2*c**2 - 2*c*p - 6*c - 471*p - 1 wrt c?\nAnswer: 104*c*p - 4*c - 2*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*-5*-3*sqrt(245))**2.\nAnswer: 1378124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 6, 0.3, -2168\/15, -0.06, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-14))\/((-345)\/805)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 116714, -116, 2 in ascending order.\nAnswer: -116, 1, 2, 116714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = -f + 5*g + 43, -52 = 7*f - 12*f + 6*f + 3*f + 8*g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -12*c - 130. Let p be r(-11). Let z be ((-40)\/12)\/(4\/(-6)). Factor -p*b**3 + 7*b - b + 3*b**5 + 1 - 2*b**z + b**4 - 2*b**2 - 5*b.\nAnswer: (b - 1)**2*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 143\/(-33))\/(-2*(-3)\/(-6))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 819920 and 9048720.\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.062 - 30.938. Let t = f - -30.9. Which is smaller: 1\/20 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/sqrt(192))\/(sqrt(28)\/sqrt(4)*-3))**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nblknkqbknbbkkw. What is prob of sequence nnq?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -82, -3 in increasing order.\nAnswer: -82, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 113 = -5*b + 7*d, 68 = 3*b - 2*d. Let v = 36 - b. Put -4, -2, v in increasing order.\nAnswer: -4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 0 - (-30 + 32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-8)*-4*6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/196)\/((-39)\/26).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1001318, -1001488, -1001770, -1002164, -1002670, -1003288, -1004018?\n\"Answer: -56*l**2 - 2*l - 1001260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**5 - 1185*l**4 - 4970*l**3 + 35650*l**2 + 121125*l - 150625 = 0.\nAnswer: -5, 1, 5, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/4*(-210)\/7560.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/((a*a**18\/a*a)\/a)*a**(9\/4)\/a*a)\/(a*a*a*a*a*(a**(-3\/17)\/a)\/a*a*a**(-10\/3)) assuming a is positive.\nAnswer: a**(-2905\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-8)*74444\/54. Let k = u + -5174. Let r = 89\/60 + -7\/12. Calculate the common denominator of k and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srese. Give prob of sequence ss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5*p + 10 = 0, 8*p - 35 = -5*h + 4*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-five thirds of a day?\nAnswer: 440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llad when four letters picked without replacement from laaddaulaulddad?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 26*c - 40. What is the remainder when z(12) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101001101 (base 2) in base 13?\nAnswer: -171c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1462, 2765, 3910, 4897, 5726?\nAnswer: 6397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -421 - -778. Does 21 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -749 - -771. Let c(u) = 470*u**2 - 12 + o - 472*u**2 - 10*u. Give c(-8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1526*m - 8726 = 3482 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(3\/(-2)) - (-4136)\/188.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -602 - -0.3.\nAnswer: -601.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**3*s**3 - 13*f**3*s**2 - 37*f**3*s - f**2*s**2 + 3*f*s wrt s?\nAnswer: 24*f**3*s - 26*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 33.8519 + -1.1198\nAnswer: 32.7321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q\/(q*q*((q\/(q*q**(-2))*q)\/q)\/q*q)*q*q))\/q)\/(q**3\/q))**(-33)*((q\/(q**7*q))\/(q*q*q**4))\/(q**(-7)*q\/q**(-2)) assuming q is positive.\nAnswer: q**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -2*b + 1, -11*j = 5*b + 36 - 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17889047 = -16*i + 71078055. Let j = 10934313 - i. Round j to the nearest 100000.\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3785000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22885942?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -6 + -43 + 41 + (-6 - -21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 671 - 4499 = -4*n. Let h = -428 + n. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2953063022?\nAnswer: 2, 7, 13, 16225621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiaaaaiaaiiziiiiaii. Give prob of picking 1 i and 2 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 166*o - 153. Let n(l) = -2830*l + 2600. Let u(v) = -35*b(v) - 2*n(v). Determine u(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -5*f - 22 + 39, 4*f + 3*i - 16 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4282821 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 10:28 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 j when four letters picked without replacement from jhjmmfhhh.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 797 - 801. Sort -5, i, 34 in increasing order.\nAnswer: -5, i, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29915153 is divided by 873.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211100 + -10?\nAnswer: 2211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 9 + 569. Let s = a - 698. Let v = -186 - s. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000001010 (base 2) to base 5\nAnswer: 4042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g**2 - 20*g**2 + 9*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 104 = 4*d - d, 3*z - 156 = 5*d. What is the highest common factor of 650 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 872277414 or 872277413?\nAnswer: 872277414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8170 and -5.3?\nAnswer: -43301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.0227, 0.02, -39, -3, -0.5, -0.466?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) 13 (b) 10 (c) -1\/38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 + 3. Let c(s) = -1 - 3 - s - 4 - 6*s**2. What is -3*c(g) - 8*d(g)?\nAnswer: 2*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002303942 to 7 decimal places.\nAnswer: 0.0002304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 4*v**2 - 2. Calculate f(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4547510573?\nAnswer: 23, 179, 457, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 33343*h + 33343*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**2 + 4 + i**2 + 7*i**2 + 3*i**2. Let y(p) = -6*p**2 - 3. Let m = -2 - -2. Let z = m - -5. Give z*y(n) + 4*t(n).\nAnswer: -2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.16761 - 3572?\nAnswer: -3567.83239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 11*d**2 + 8*d - 26. Let t be h(18). Let n be (-4)\/(-6) + t\/30. Let k = n - -71. Solve k = -2*i - 4*y, i - 2*y - 8 + 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**7\/630 + p**6\/60 + 4*p**5\/15 + 37*p**4\/36 + 11*p**3\/6 + 3955*p**2. Factor s(b).\nAnswer: -(b - 11)*(b + 1)**2*(b + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.26, 4, 2\/3, -2.5, -0.243?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8358969*d - 42 = 2*j - 8358972*d, -36*j = 4*d + 524 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2)\/w)**(-44))**(2\/3) assuming w is positive.\nAnswer: w**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*u - 2384, 171 = u + 4*t - 325. Suppose u = -f + 21*f. Suppose -30*m + 480 = -f*m. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y + 25*y - 35361 = 20207. What is the remainder when y is divided by 1204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2889 (b) -2\/5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 87 = -3*n, 1181*n - 1185*n + 8*q + 160 = 0 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**3 - 75*h**2 - 235*h - 165 = 0.\nAnswer: -11, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34*w**4 + 3 wrt w?\nAnswer: -136*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1 (b) -112 (c) -220 (d) -7 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/19548 and 127\/99912.\nAnswer: 899208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 11*y**2 + 11*y + 4. Let c be w(-9). Find the third derivative of -5*f**5 - 67 + 2*f**2 + c wrt f.\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-44)\/(-154)*-14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2429 and 36?\nAnswer: 87444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -2*y**5\/15 + y**2 + 2*y. Let b(z) = -6*z. Determine b(g(c)).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 253560*g - 4018292100.\nAnswer: -4*(g + 31695)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 168839925, 168839924, 168839923, 168839922, 168839921?\n\"Answer: -o + 168839926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111011 (base 2) to base 4.\nAnswer: 3323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120122110000 (base 3) in base 5?\nAnswer: 34323322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w + 99. Let p(k) = -30*k - 492. Let g(m) = 11*l(m) + 2*p(m). Let q be g(-17). Sort q, -3, -2 in ascending order.\nAnswer: -3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2365, -1, 1, 4.\nAnswer: -1, 1, 3, 4, 2365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0*-2*(-3)\/(-12))\/(-1). Suppose n*m - 5*m = -40. Let p(j) = 2*j + 9. What is p(m)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*b**4\/21 - 20*b**3\/3 + 46*b**2\/7 - 8*b\/3 + 8\/21 = 0 for b.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of z**4 - 8*z**3 + 78731*z + 21034249?\nAnswer: 4*z**3 - 24*z**2 + 78731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*a + 12 = -a, 0 = -g - 2*a - 16. Let y(v) = 6*v**2 + 8*v - 32. Let r be y(g). Calculate the highest common divisor of 36 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s + 2. Let m be h(-2). Let d = 25.1 - 25. What is the closest to d in 5, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6134 in -50, -58, 2\/7?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 388576*m - 1165746.\nAnswer: 2*(m - 194291)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -748 - -1405. What are the prime factors of k?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 2*b**2 + 2*b - 3. Let l(n) = 79*n**3 + 10*n**2 + 8*n - 7. Give -5*i(f) + l(f).\nAnswer: 74*f**3 - 2*f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -593\/3033 - 9\/337. What is the closest to -3 in b, -0.2, 1\/6, 3\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 419822223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*s + 392. Let z = s - 105. Let b be 13 + ((-2)\/2 - -1). Calculate the greatest common factor of z and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.524 less than 1?\nAnswer: 0.476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 6:24 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-252)\/282*(-1188)\/63. Let s = o + -760475\/45026. Calculate the common denominator of 7\/16 and s.\nAnswer: 7664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 175372 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005845 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(539) + -5 - (-1 + sqrt(539) + (sqrt(539) + sqrt(539) + 2 - sqrt(539))**2) - (sqrt(110)\/sqrt(2)*4)\/((-3*sqrt(30))\/sqrt(6)).\nAnswer: -549 - 80*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.012 and -824878?\nAnswer: 9898.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 11*t**2 + t + 40. Calculate the remainder when 226 is divided by z(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 10 = -2*x + z, 5*x + 5*z = 45. Let v be 82\/x - (-2)\/7. Let i(k) = k**3 - 12*k**2 + 2*k - 16. List the prime factors of i(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1160\/(-240) - 1)\/(28\/(-16)). Determine l so that -8 + 56\/3*l + p*l**2 = 0.\nAnswer: -6, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 0 - 12. Let h(x) be the third derivative of 0*x + 1\/24*x**s + 4*x**2 - 1\/120*x**6 - 1\/3*x**3 + 0 + 1\/30*x**5. Factor h(q).\nAnswer: -(q - 2)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6490, 6501, 6518, 6541?\n\"Answer: 3*o**2 + 2*o + 6485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**3\/(u**(9\/4)*u)*u**(-5)\/(u\/((((u\/(u**(-8)\/u))\/u)\/u)\/u)) assuming u is positive.\nAnswer: u**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h. Let v(n) = 2*n - 43795446. What is r(v(u))?\nAnswer: -16*u + 350363568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -3, -14 in descending order.\nAnswer: -3, -14, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9\/29, -25, -20.2?\nAnswer: -9\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -411 + 421 + (0 - 60).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 1 + -2 + 1. Let x(u) = 2 - u**3 - u**3 - u + 0*u**3. Let g(f) be the first derivative of f**4\/4 - f**3\/3 + f**2\/2 + 13026. What is k*x(n) - g(n)?\nAnswer: n**3 + n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.328 + -6.4. Let i = 12.928 - n. Which is the biggest value? (a) i (b) -2\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -2 + (15 - 7 - (1 - 1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73.97 + -59.8. Let r = 14.3 - n. Is -1 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68662 and 8701.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: 133931 (base 11) to base 5\nAnswer: 23210330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**4\/4 + 3*v. Let t(c) be the second derivative of -c**4\/12 - 2*c. Give t(j(h)).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2567 + -2562. Let v = -1 + 2. Let b(t) = 4*t**2 - 2*t + 1. Let r be b(v). Solve -l = 2*d - r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 + r - 1. Let c be p(1). Let w be c\/(1265\/(-1264) - -1). Let x = w + -1672. What is x rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-230)\/(-5) - (-27 - -21 - (-6 - -1)). Solve -2*i - 4*c + 18 = 0, v*i = 51*i - 5*c + 29 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -209885012*g**3 - 188810808*g wrt g.\nAnswer: -1259310072*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 0.45, -194.4 in increasing order.\nAnswer: -194.4, -1\/9, 0.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510695 is divided by 101849?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -0.14288?\nAnswer: 0.44288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (81\/(-3))\/3 - (-72 - -68). Let z = -64 + 64.1. What is the nearest to z in 0.2, p, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444 + 494 = 10*r - 3*w, 5*r = 4*w + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 370 and 14?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/45 and 43\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1120495 and 2325?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.14 - 0.14. Let z = p + -5.9928. Round z to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*(147\/28)\/(-7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/90)\/(20\/300*-93).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100011001101 - -101000100111?\nAnswer: 1010001011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(2*p**2 - 2*p**2 + p**2) + (-5 + 2 + 2)*(4*p - 4*p**2 - 4*p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -7. Suppose -3*h + w = 4*w - 81, -u*h + 5*w = -57. Let z = -6 + h. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t**3 - t**2 + t + 1. Let u be h(-1). Let c = 24 + u. Let k(x) = 30642*x - 214468. What is the remainder when k(7) is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(605\/(-2442)) + 186\/(-310).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -754\/9 - -84. Let k(z) be the first derivative of 0*z**2 + 1\/9*z**6 + 0*z + 1\/2*z**4 + 2\/5*z**5 + m*z**3 - 2. Factor k(f).\nAnswer: 2*f**2*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -3*i + 3*k, 160 = -i + 5*i - 5*k. Suppose 3*a - i = -a. Suppose -3*y + a = 2*y. Solve 0 = -y*z - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53989 + -53984. Let g = -10 - -7. What is the second smallest value in m, 0.1, g, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 + 11*b - 3. Let n(a) = a**2 - 4*a + 1. Let g(d) = -8*n(d) - 3*y(d). Let h be g(2). Let r = h + 88. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69951.130103 - -69950.3. Let l = 33.83 - 33. Let j = l + z. Round j to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 301\/(-210)*(-5)\/6 and ((-488)\/24 - -11)\/(10\/6).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-198)\/(-15) - (-44)\/55. Solve v + 23 = 5*w, 5*v - 4 + i = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 6*v - 2*v)*(-3*v + v + 3*v)*(-6*v**2 + 4*v**2 + 4*v**2) in the form z*v**2 + x*v**4 + h + k*v**3 + b*v and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 81*y + 162*y - 5900 - 5035. Solve 12*b + y = 117 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - 13*q - 16. Let a be b(-5). Sort -4, -0.3, a, 30\/11 in descending order.\nAnswer: 30\/11, -0.3, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/35868500 and -37\/600.\nAnswer: 215211000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k - 49. Let y be h(-50). Let i = 404 + y. Solve l + 0*l = i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * 17.\nAnswer: 1.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, -1744, -175.\nAnswer: -1744, -175, -9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 144 = -145 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kuu when three letters picked without replacement from {r: 2, d: 1, k: 1, u: 4, m: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21836 - -22479. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021 - -1011?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8\/(-44) + 25458\/22 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.258 and 0.18040244?\nAnswer: 6.07759756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 208321, 416647, 624973?\n\"Answer: 208326*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 less than 340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -430230 + -2235?\nAnswer: -432465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 14*c**2 - 24*c - 1. Let d be h(-16). Let a = -74 - d. What is the greatest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(((-12)\/(-8))\/1). Is 18 a factor of j\/(-6) - 4009\/(-57)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2204455 + 2?\nAnswer: -2204453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -383, -374, -365?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 0.023218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-120072)\/18 - -4)\/(2\/54). Round p to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0578 in 1, -0.3, 0, -1.87, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6885914 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 4*a**5\/15 - a**4\/4 + 7*a**3\/3 - 297*a**2 - 12*a - 2. Give j(2).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -602218 + -176.\nAnswer: -602394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5354*n - 17034*n + 0*n**2 - n**3 + 0*n**2.\nAnswer: -n**3 - 11680*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 233906885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, w: 1, j: 3, g: 4}. What is prob of sequence jccw?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2178\/13 - -106195\/624. Calculate the common denominator of -127\/36 and h.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15, 30, 35, 24, -9, -70?\n\"Answer: -b**3 + b**2 + 19*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**2 + 0 - 4*x**2 - 5*x - 7*x - 17. Determine s(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -786*h + 833*h = 188. Let v(c) be the second derivative of 1\/10*c**5 + 0*c**3 + 0 + 1\/10*c**6 + 0*c**2 + 1\/42*c**7 + 15*c + 0*c**h. Factor v(l).\nAnswer: l**3*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6580.9 and 1?\nAnswer: 6581.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*q - 76*q - 909. Let r = 316 - q. Solve 0 = -7*z + r*z + 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 1. Let q be w*(-1)\/2*-1. Let z(p) be the third derivative of p**4\/6 - p**3\/6 + p**2 + 7. What is z(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 i, and 1 u when three letters picked without replacement from ikiigkukgirikjkii?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Let t(g) = g**2 - 2*g + 252. Let b be t(0). Suppose 70 + b = 7*w. Let k(q) = -9*q**2 - 23 - 23 + w. What is u(k(x))?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56 - 5*v - 130 + 0*v + 312 + 104 to the form l + s*v and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 0, -20, -62, -126, -212?\n\"Answer: -11*p**2 + 13*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 192\/(-8)*33\/(-858)\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u - 4*u + 14 + 1 - u. Let a be k(4). Solve a*n - 10 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11539 - -11587. Let s be 2 + -1 + (1 - -10). What is the highest common divisor of m and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m - 89*m + 11*m + 0*m.\nAnswer: -72*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100871, 100867, 100885, 100925?\nAnswer: 100987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, h: 2, i: 1, k: 2, w: 1, f: 1}. What is prob of sequence hfhk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9723 < 9723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46810*y**4 + 2*y**3 - y**2 + 61710?\nAnswer: -187240*y**3 + 6*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -686*w - 188*w - 1181*w + 223*w.\nAnswer: -1832*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -633 divided by -3.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 23*-16\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from {r: 1, i: 7, d: 10, l: 1}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/20 of a week?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/((sqrt(72) + sqrt(8) - sqrt(8)) + sqrt(8)) - (sqrt(17) + (sqrt(17) + sqrt(17) + -1)*-4)) + sqrt(68)\/(sqrt(16) - sqrt(16)*-3).\nAnswer: -4 + 59*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.15477 - -4.15477. Sort 0.4, 1\/4, -0.5, x, 37.\nAnswer: -0.5, 1\/4, 0.4, x, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 19\/24*k**4 + 47*k**2 + 0*k**6 + 0*k**5 + 11\/210*k**7 + 0*k**3 + 0 + 0*k. Find the second derivative of h(g) wrt g.\nAnswer: 132*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1610812 + 1610824.7489865. Let a = z + -268.7492335. Let q = -256 - a. What is q rounded to five dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -217.2345.\nAnswer: 130.3407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/((-15)\/6) - -5. Let n(b) = b**3 - 4*b**2 + 5*b - 2. What is the remainder when 11 is divided by n(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 417 - 945. Let g = 87 - j. List the prime factors of g.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*5\/(-40)*4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -3*l - 16, -3*l + l + 6 = -5*d. Let a(u) = -3*u + 3. Let n be a(2). Put d, n, -4 in ascending order.\nAnswer: -4, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + 86*v**2 - 55*v - 677. What is n(42)?\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxnpmnoxmxl. Give prob of picking 1 m and 2 x.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**4 - 812*s**3 - 20372*s**2 + 50528*s + 176064 = 0.\nAnswer: -786, -28, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*j + 15243, j - 5*k = -1965 + 5793. What is the greatest common factor of j and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29440 divided by 8.\nAnswer: 3680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 23*h + 120. Let n be a(8). Solve -b + 240 - 247 = n for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10598?\nAnswer: 2, 7, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3035*q**2 + 478760*q - 945380 = 0.\nAnswer: 2, 94538\/607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from bdddddbb?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 897611418 to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1935516 divided by 322586.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*8 + (8 + -6 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 7:50 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/20 - (-6)\/(-8). Suppose -8*b + 2 = -7*b - 5*z, 2*b - 3*z - 39 = i. Calculate the greatest common factor of b and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 446, 461, 484, 515, 554, 601, 656?\n\"Answer: 4*k**2 + 3*k + 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*o - 242 = 153 + 469 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31.0319*11.\nAnswer: 341.3509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*44\/(-77)*7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g + 1149*g**2 - 4*g**3 + 3*g**3 + 6 - 1151*g**2. Let h be z(-2). Solve -h*c = -4*c - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 4212.1 + -4045. Let w = -167 + a. Sort 3, -1\/5, -5\/4, w in decreasing order.\nAnswer: 3, w, -1\/5, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 2\/19, 0.5, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 3*t + 3*t. Let b(q) = -5*q. Let u(n) = n**2 - 5*n - 454. Let d be u(-19). Calculate d*b(w) - 4*f(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -127.7, 43\/20.\nAnswer: -127.7, 43\/20, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 2*j - 3*j + j + 0*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-57267)\/(-1269) - 45)\/((-1)\/(-1) + 2)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 - 7*q**2 - 8*q**2 + (q + 4*q - 3*q)*(-5*q - 2*q + 4*q).\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/2 - 9*g**4 + 40*g**3 + 9*g**2 - 81*g\/2 = 0. Calculate g.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1805113?\nAnswer: 181, 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 2\/7 (c) 5 (d) 1\/3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.799 and -212?\nAnswer: 212.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 94*d + 28*d + 11*d**3 + 24*d + 42*d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + (22 - 3) - (16 - (-97 - 8))) + -5?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538*y - 464*y + 316*y.\nAnswer: -686*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 114601885?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 17*c + 4. Let p be n(17). Suppose 0 = y - p + 3, -l = -2*y - 298. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 271, 1808, 4605, 8662, 13979?\n\"Answer: 630*a**2 - 353*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*g**3 - 258*g**3 - 370*g**3)*(1 - 1 + 2*g).\nAnswer: -1434*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 745 from 1220.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.2, -2\/7, 66, -3, 71\/3 in descending order.\nAnswer: 66, 71\/3, 2\/9, -0.2, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + -79.2. Let m = j + 38. Let k = -40.00062 - m. What is k rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7*y**2 + 4*y - 2. Let b(c) = -c**2 - c + 13. Let p be b(-4). Calculate the lowest common multiple of u(p) and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16115178 divided by 17403\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (5 + -2 - -1). Suppose 5861 = i*t + 1516. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(-2)\/2864)\/((16\/72)\/(1232\/2079)).\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 k when three letters picked without replacement from kkwkkwkw.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 153 = 45. Let t = 56 - z. Let y be (1\/(-2))\/((-6)\/4). What is the nearest to y in -0.1, -3\/4, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/7, -50\/33, 0.3, 4\/47, -1\/4?\nAnswer: -50\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9036700 to the nearest one hundred thousand.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 6 - 5 - s**3 + 2.\nAnswer: s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94773588?\nAnswer: 2, 3, 7, 13, 59, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-88)\/20)\/11)\/((-4)\/(-15))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(686) + (sqrt(686)*1 - sqrt(686) - sqrt(686)) - sqrt(686)) - sqrt(686))*1)\/((sqrt(128)*-3 - sqrt(128)) + sqrt(18)\/(sqrt(9)*1)).\nAnswer: 42*sqrt(7)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(40\/5))\/((-2)\/8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 0.3433585285.\nAnswer: -1.6566414715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 0*u**5 + 1 + 0*u - 1\/2*u**4 + 0*u**3 + 1\/3*u**6 + 0*u**2. Let d(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 1, t: 1, d: 2}. Give prob of picking 1 c and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 208 - 208. Suppose -b + 292 = d, p = -4*d + 3*b - 4*b + 1171. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 614 - 613. Which is smaller: x or -36\/1403?\nAnswer: -36\/1403","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104223 (base 5) in base 2?\nAnswer: -111001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + -25. Let g be 2\/(t\/(-24) - 2). Suppose -3*m = -g - 11. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/8)\/((-3)\/8). List the prime factors of (1 - -4)*8\/j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 124*w**2 + 744*w - 2016.\nAnswer: 4*(w - 2)*(w + 12)*(w + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by (-225)\/10*(-8)\/10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 5*j**2 + j - 15. Let y be k(4). Which is the nearest to 2? (a) y (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 75\/4 in 2\/509, -4, -0.08?\nAnswer: 2\/509","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r. What is y in y**3 + r*y**3 - 2*y**3 + 2*y**2 - 3*y**3 = 0?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -370, -247, 8, -1 in ascending order.\nAnswer: -370, -247, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45456 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33063734\/49695 - -2\/16565. Suppose 0 = -4*m + 5*y + 2679, 5*m + 8*y - 5*y - 3358 = 0. Let r = u - m. Calculate the common denominator of r and -39\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqmqqqmqq. Give prob of picking 1 m and 3 q.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 1168?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13\/906 + 3689\/4530. Which is the closest to -0.1? (a) -4 (b) p (c) 2\/7 (d) 4\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57 + 245*w - 116*w - 55*w + 50 to the form j + s*w and give s.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -3.5, 2, -31?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1220.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/30*5\/(-3). Let h = -50.5 + 45. Let o = h + 2.5. Which is the third smallest value? (a) -3\/4 (b) n (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -154, -80, 0 in increasing order.\nAnswer: -154, -80, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39571615 and 648715?\nAnswer: 39571615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**3 - 2*j**2 - 6*j - 4. Let c be g(-4). Suppose 0 = 4*f + 32 + c. Let o = -37 - f. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 9:20 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12195 divided by 2439.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -1\/6, 4, -1.3, 0.2, 0?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*b**5*l + b**5 - 2*b**2 + 329*b*l wrt b.\nAnswer: 1340*b**3*l + 20*b**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 10 = -0. Suppose 0 = -v + 4*v - 2*f - t, 5*v - 26 = f. Let h = 20 + -20. Solve 0*k + 2*k - v = h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 1.891846.\nAnswer: 5.675538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6604894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 83969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*q + 247 - 15, 3*q + 354 = 3*s. Let r be 5\/((-5)\/2) - -7. Suppose -r*x = -x - s. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5862628*n**3 - 3618107*n**3 - 5589989*n**3.\nAnswer: -15070724*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10}. What is prob of sequence oo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2*w - 3)*(4 + 10 - 5) + (-7*w + 3*w + 2*w)*(0 + 2 - 1) + (-1 + 2 + 0)*(w - w - 2*w) in the form z*w + h and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 0.67, 14, 1\/3?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12712 is divided by 326.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1450.41 + -1524. Round q to the nearest integer.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.049 - 24.049. Let n = t + 20. Let z = 1 + 2. Put -3\/7, n, z in descending order.\nAnswer: z, -3\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**6\/45 + w**5\/2 - 28*w**4\/9 - 370*w - 1. What is s in h(s) = 0?\nAnswer: 0, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 3 + 2\/3*c**3 + 3\/2*c**2 + 2*c. Let x be l(-2). Solve -j = -x*y - 13, 15 = -j - 4*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140.70797 + 89\nAnswer: -51.70797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3055116148 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6513277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h*h\/(h**(2\/11)*h*h))\/h))\/h**(2\/59) assuming h is positive.\nAnswer: h**(745\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1384\/(-1557) + 2\/(-18))\/(3\/111)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -13 + -45 + 4 + -3\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 18662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 905 by 181.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 + -136112487?\nAnswer: -136112670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106360940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11*o - 7. Let d(a) = 12*a + 7. Let g(l) = 4*d(l) + 5*i(l). Let w(b) = b + 1. Give g(q) + 6*w(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -12*g**2 + 5*g - 4. Let f(j) = -11*j**2 + 4*j - 4. What is 5*f(c) - 4*p(c)?\nAnswer: -7*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-79 - -9))\/((-7)\/(-35) + 0) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**6\/3 - 6*h**5\/5 + 15*h**4\/2 - h**3\/3 - 482*h**2 + 2*h - 7553. Find the third derivative of g(s) wrt s.\nAnswer: 120*s**2 - 144*s + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 17 = u, -h - 2*u + 5*u - 19 = 0. Let b be (-144)\/27*(-6)\/(-4). Sort h, b, -2 in descending order.\nAnswer: -2, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3632 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21 and 342348.5404?\nAnswer: 342327.5404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 281102 divided by 785.\nAnswer: 281102\/785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-37))**(7\/2) assuming h is positive.\nAnswer: h**133","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45925 and 292600.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 921954 a multiple of 671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/3 - (-2)\/(-17 + 11). Let u = 786 + v. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h + 2*h - 6*h + (-2*h - 3 + 3)*(-14538 + 3257 + 4395 - 21566) to d*h + k and give d.\nAnswer: 56903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Let b(g) be the third derivative of 1\/6*g**3 + 0 + 1\/60*g**6 + 3*g**2 + 0*g + 1\/24*g**4 - 1\/20*g**5. Calculate b(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, 3394, 1 in descending order.\nAnswer: 3394, 89, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1392 - 1056. Calculate the greatest common factor of m and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -894340*h**4 - 44*h**3 + h**2 - h - 34551036?\nAnswer: -21464160*h - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*r = 3*w - 106*r - 15, -5 = -r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 12*w**2 - 9*w**2 - 17*w**2 + 3 + 15*w + 15*w**2. Give u(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -224*n**3 - 21*n**2 - 8*n + 29. Let f(z) = -41*z**3 - 4*z**2 - 2*z + 6. Let s(p) = -2*d(p) + 11*f(p). Calculate s(3).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35130*a**2 + 17951*a**2 - 38829*a**2.\nAnswer: -56008*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 1:41 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {l: 3, y: 7, k: 4}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4693 divided by -18.\nAnswer: -4693\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 98 = -394. What are the prime factors of j?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4492 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*u**3 + 12*u**2 - 12*u**2 + 52*u**3.\nAnswer: 203*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 13*h - 41. Let x be q(3). Solve 3*b + 12 = x*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/243*219\/25550*70?\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, y: 1, m: 9, u: 4, c: 2}. Give prob of sequence ycfc.\nAnswer: 1\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123143 + 115836.9. Round x to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t + 3*t - 7*t + 2*t. Let l(a) = 2*a. Calculate -2*l(p) + 4*o(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76)*3 + sqrt(76)))*-5 + -3*sqrt(76)*-2)\/((sqrt(528)\/(sqrt(12)*1))\/((sqrt(176) + sqrt(11))*-3)) + -4.\nAnswer: -315*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6989.\nAnswer: 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6876\/(-176) - -39)\/(1 - (0 - 22\/(-24)))\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -1805?\nAnswer: -1808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f = 0. Suppose 5*x + f = 10. Find the third derivative of 6*q**4 + q**2 - 4*q**x + 4*q**2 wrt q.\nAnswer: 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964620 is divided by 604.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, -4, 145, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m + 2943 = -14*m - 160*m - 5307 for m.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 671 - 671.4. Which is the third biggest value? (a) 4 (b) -6 (c) t (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2145.5 + -2146. What is the biggest value in 2\/11, u, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1367962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -416 or -1000045?\nAnswer: -1000045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*g + 4*i, 831 = -4*g + 3*i + 811 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 7*h**2 + 5*h - 7. Let t be s(-6). Let m = t + -5. What is the remainder when 24 is divided by (-2)\/(3\/(117\/m))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 4*w - 15 - 20, -y - 18 = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.27 - 2.73. Let u be 72\/(-168) + 86\/168. Put j, u, -2 in increasing order.\nAnswer: j, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3\/12*-1*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*r + 50 = 0, 0*r + 2*r - 32 = -4*b. What is the remainder when b is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((18 - 5) + -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 6260*q**2 - 6365*q - 125300.\nAnswer: 5*(q - 5)*(q + 4)*(q + 1253)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*4\/(-30) + 438\/5. Suppose 3*j - 4*b - 2 = 0, -4*j = 5*b - 6 - 7. Suppose -3*c + j = -k. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1. Let u(m) = m. Let w(k) = 3*u(k) + 3*x(k). Let f(r) = -r**2 - r - 1. Let s(b) = -3*f(b) - w(b). Let z(o) = 2*o. Calculate s(z(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 60*s - 172. Let d be c(8). Suppose 2*t + 2170 = 7*t. Let f = t - d. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 265518 and 67569414?\nAnswer: 9834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6241 smaller than 706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 108*h + 784 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6*p + 27. Let s = -9 + p. Let f(t) = -t**3 + 5*t**2 - 4*t + 1. Let w be f(4). Solve 0 = -x - s*x + w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -252, -239, -226, -213, -200?\n\"Answer: 13*j - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 10 - 46 = 4*n, -45 = 5*n - 538*u + 539*u for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -17*a**3 - 13*a**2 - 13*a + 17. Let u(m) = 2*m - 3*m**2 - 4*m**3 + 4*m + 4 - 5*m - 4*m. Let v = -3 - 23. Let o = 9 - 3. What is o*l(x) + v*u(x)?\nAnswer: 2*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 - -89. Suppose 2*r + 3*l - 14 = r, 0 = -3*r - x*l + 22. Suppose 3*o + 3*a = 2220, -o + 3*a + 750 = r*a. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 3*i + 3. Let s be t(-3). Let p(n) = n**2 - 3*n + 1. Let j(a) = a**2 + 3 + a**2 + 2*a - 9*a. What is s*j(c) - 7*p(c)?\nAnswer: -c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.21 - 3.07. Let d = 126 + -111.3. Let k = -15 + d. Which is the nearest to 0? (a) -4 (b) i (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000009985 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 222*t**4 - 7*t**2 + 132*t - 6. Let u(r) = 112*r**4 - 3*r**2 + 66*r - 3. Let c(b) = 7*u(b) - 3*v(b). Find the second derivative of c(w) wrt w.\nAnswer: 1416*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38722 and 0.3?\nAnswer: -11616.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 14. Let k be (-23)\/(-5) - 4\/a. Let t(g) = -2*g**2 + g + 2. Let f(y) = -4*y**2 + 3*y + 4. Calculate k*t(h) - 2*f(h).\nAnswer: -2*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960)*2)\/(sqrt(768)*2).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*i = -165*i - 93 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-66 - -60 - (0 + 9) - 22).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -8*t**2 - 1370*t + 7 + 683*t + 683*t + t**3. Is k(9) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 3*t + 1. Let f be j(-6). Let v = 82 - f. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -22 (b) 2\/9 (c) 2 (d) 1 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5455*l - 98317. Determine v(18).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -297 or -380?\nAnswer: -380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*d - 181*d = -547*d + 182*d - 4*h - 7, 2*d = 6*h + 16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 2\/7 (c) 1 (d) 5\/362 (e) -0.5 (f) 1.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1255 = 4*z, -4*z = 2*v - 0*v + 1290. Is (-3*z\/12)\/1 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23226 and 237?\nAnswer: 23226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + s + 28 - 23 = 0, 3*v = 4*s - 7. Let l = 5 + 1. Suppose l*w + 21 = -v. Sort 5, 4, w.\nAnswer: w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**6\/360 + v**5\/120 + v**3\/2 + v. Let q(w) be the second derivative of j(w). Factor q(t).\nAnswer: -t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47623 (base 8) in base 15?\nAnswer: 6081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(70\/(-4) + 4)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 2 + 3 + -3 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -242, 0, 4 in decreasing order.\nAnswer: 4, 0, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 1)*(-3)\/(-2). Let g be (k - (-1 + 7))*2. Is (g\/4)\/((-9)\/204) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 15 + 107. Calculate the greatest common divisor of 368 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10194 - 9390. Calculate the smallest common multiple of 1608 and c.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4957.94 * 3.\nAnswer: 14873.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13068438 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6\/7)*p*p)\/(p*p\/(p*p\/(p**4*p))))**(-1\/12)\/((p*p**(-1\/3))\/p*p**(4\/7)*p\/p**0*(p\/(p*p**(-6)*p))\/p) assuming p is positive.\nAnswer: p**(-59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 16*d + 2. Let s(i) = 88*i + 2 - 156*i + 81*i. Let t(k) = 5*j(k) - 6*s(k). Let o(l) = l - 1. Calculate -5*o(a) + 2*t(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 1:42 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21399, 21398, 21397, 21396?\n\"Answer: -c + 21400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kklkllllllklllklll.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (130*r**3 - 40*r**3 + 390*r**3 + (r - r - 2*r)*(0*r**2 - r**2 + 0*r**2) - 4*r + 2*r + 2*r**3 + 0*r**3)*(-6*r + 3*r + 4*r).\nAnswer: 484*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -618*i**2 - 436.\nAnswer: -1236*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h + 3 - 5 + 121*h.\nAnswer: 108*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*r + 12 = -222*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 18 + 14)*(-257*n**2 + 257*n**2 + 56*n**5).\nAnswer: 2576*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58941338.\nAnswer: 2, 103, 359, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, v: 1, j: 3, y: 3, l: 2, m: 1}. Give prob of picking 2 j, 1 m, and 1 b.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7 + 2*v - 9*v - 9*v**2 + 18*v + v**3 - 23. Let f be o(8). Solve 2*p + f = -5*h, 4*h - 16 = h + 4*p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 8. Let h be c(8). Let q(x) = -x**3 + x**2 + x + 792. Let z be q(h). What is the tens digit of z\/77 - 4\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + g - 798 + 7317, -2*g + 26046 = 4*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -26*c**4 - c**3\/3 - c**2 - c + 5463. Determine n(-1).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -128 - 556. What is the smallest common multiple of m and 8?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/7))\/t)**(-25)*(t\/t**(-2\/13)*t)**9 assuming t is positive.\nAnswer: t**(2414\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -80 + -3474655?\nAnswer: -3474735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26892 divided by 98?\nAnswer: 13446\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 223848?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -7. Let m be -11*2\/(4\/(-2)). Let l = m - d. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7678, -7682, -7686?\n\"Answer: -4*p - 7674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 49*u**2 + 4*u - 3. Let g(s) = -24*s**2 - 2*s + 1. Let o(l) = -5*g(l) - 2*r(l). Let x = -122 - -121. What is o(x)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 4, 27, -4, -1287, -1 in increasing order.\nAnswer: -1287, -21, -4, -1, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 0*x**2 - 1\/3*x**3 + 0*x - x**4 + 2. Determine g, given that i(g) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 1)*(6\/2)\/(-3). Let p(u) = -u**3 - 6*u**2 - 5*u + 1. Give p(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 8*i + 2*i. Let q(n) = -9*n**2 - 3*n - 1. Let x(m) = 17*m**2 + 7*m + 2. Let g(f) = -5*q(f) - 2*x(f). Give g(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243 and 3177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2. Let d(s) = -s + 4. Let x(i) be the second derivative of i**3\/6 - 5*i**2\/2 - 7*i. Let p(m) = 5*d(m) + 4*x(m). Give u(p(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y + 6. Suppose 0 = 2*u - 0*u + 48. Let n be (2\/(-4))\/((-2)\/u). Let g(k) = -k - 1. Determine n*g(z) - w(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 67*w**2 + 204*w - 345. Determine j(-70).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 13*h**3 - 9*h**2 + 9*h - 5. Let k(x) = 3*x**3 - 2*x**2 + 2*x - 1. Let m be (-10)\/4*-2*6\/10. Suppose 8 = d + m*d. What is d*i(l) - 9*k(l)?\nAnswer: -l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 3750527?\nAnswer: 3750522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 114*v - 64. Let j(g) = 6*g - 1. Let p(c) = 22*j(c) - 2*q(c). Let f(k) = -6. Let t(n) = -12*f(n) - 2*p(n). What is the derivative of t(x) wrt x?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 6*n + 6. Give p(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.56 and -58606.\nAnswer: -58606.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 5*z + 2*m, -7*m - 104 = -2*z - 4*m. Let d = z - 51. What is the units digit of ((-342)\/12)\/(d\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1819, -1788, -1763, -1750, -1755, -1784, -1843?\nAnswer: -1938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2826*h - 274*h - 460*h to the form q + g*h and give g.\nAnswer: 2092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (0 - 15) + (365 - 441)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 534 = 594 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -949654407125+-0.61\nAnswer: -949654407125.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.62115 and 84971?\nAnswer: 84970.37885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -0.1, -0.4, 3, 2\/5, 0.2 in decreasing order.\nAnswer: 3, 2\/5, 0.2, -0.1, -0.4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-80)\/(-12))\/(1\/3). Let g be y\/(-11) + (4 - 2). Let r = 1178 + -1176. What is the biggest value in r, -3, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*3*36\/(-27)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161959619 is divided by 663.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 402563609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.2887 (b) -2\/11 (c) 5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-10) - -2)\/(5 - 4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/(1386\/(-1485))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 423*y - 848*y + 425*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 10*b**2 - 10 - 6*b**3 - 13*b**2 - 3 to the form i*b**2 + q*b + f + x*b**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25922 by -67.\nAnswer: 25922\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from {a: 4, r: 1, u: 9, y: 2}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/1)\/(-4) - -5. Suppose -3*l = 2*d - 158, -d - 2*d = t*l - 263. Is l a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3*v = -9, 37*l - 24*l - 14*l - 2*v - 16 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 + 742371329 - 742371329.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -26*p**3 + 50*p**2 + 3*p - 5. Determine j(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77205\/8 + -77201\/8. Let -25\/6 + 29\/6*f**2 + t*f**3 + 65\/6*f = 0. Calculate f.\nAnswer: -5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*b - 52, 5 = g - 3*b - 14. Let f(o) = o**2 - 7*o - 13. What is the tens digit of f(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -95*z + 101. Let n(p) = 102*p - 101. Determine 16*m(k) + 15*n(k).\nAnswer: 10*k + 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99 - (10 + 6 + -12) - 24?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3156156 divided by 789039\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*((sqrt(6)\/sqrt(2))**2 + 5) + -1*(2 + (-2*sqrt(147))**2).\nAnswer: -634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -23, -2 in decreasing order.\nAnswer: -2, -4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/(-21))\/((-1)\/18). Let y = a + 18. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -1.3, -0.3, 4 in ascending order.\nAnswer: -1.3, -0.3, 0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 14.81?\nAnswer: 29.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(-3)\/(-9)*2. Solve -7 = -3*b + g, 3*b - 5*g - p = 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 13*u + 3. Let p be q(3). Suppose o + 106 = 3*z, -z + o = -o - p. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*f - 3*q, 133*q = 8*f + 135*q - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13893 - 13893.03. Let z = 260\/3 + -86. Which is the biggest value? (a) l (b) 0.1 (c) 0.5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20863046 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1199 divided by 4\nAnswer: 1199\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 85331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 51 = -5*u + 45, 15 = -5*u + 5*f. Factor u - 2\/5*b + 9\/5*b**3 + b**5 - 1\/5*b**2 + 13\/5*b**4.\nAnswer: b*(b + 1)**3*(5*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.112548 and -0.4.\nAnswer: -0.287452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 8 = -0. Let z be 9\/(-27) + j\/6. Let r(h) = -3*h**3 - 4*h**2 + 2. Let u(o) = -o**3 - o**2 + 1. Determine z*r(s) - 2*u(s).\nAnswer: -s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48126.83ml to litres.\nAnswer: 48.12683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 9*c**2 + 7*c + 32. What is the units digit of v(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 13. Let x be 174\/21 - (-2)\/(-7). Let w be d(x). What is the tens digit of 106\/10 - (-2)\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8007481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-226)\/(-339))\/((-2)\/72).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*1*(-30)\/8. Let t be 2*5\/((-50)\/y). Is (-18162)\/(-21) - t\/21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10592.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59301559?\nAnswer: 17, 109, 32003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 229.82471?\nAnswer: 228.82471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 11978380*w + 7174079371220.\nAnswer: 5*(w - 1197838)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5263 to three dps.\nAnswer: 0.526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 2 + (5 - 1) - 0. Solve l*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/4 - 3)\/(25 + 9010\/(-360))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5377, 5375, 5373, 5371, 5369?\nAnswer: 5367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-266)\/(-588) - (-4)\/(-14)) + (-2337)\/(-18) and 585.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-40)\/4)\/30)\/((-22)\/3)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*j + 78*j = 0. Let g(n) = -14*n + 3. Determine g(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83 - (85 + -15) - (-2 - 6)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 - 70. Suppose 42036 = g*y + 4602. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4755822*w**2 - 5747218*w.\nAnswer: 9511644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/30 + (-247)\/(-5). Let x = s - -75. Suppose q = -5*n + 524, -2*n + 5*q - x = -3*n. Calculate the greatest common divisor of 26 and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -252*p - 1760. Determine g(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -26. Suppose 5*a + 6*h - 708 = u*h, -2*a + 280 = 2*h. Suppose -6*d = 3*d - a. Calculate the smallest common multiple of d and 7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277436332.\nAnswer: 2, 4357, 15919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 71919, 72317, 72717, 73119, 73523, 73929?\n\"Answer: u**2 + 395*u + 71523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 18*f - 42 = -8*f. What is the nearest to -17 in -3\/2, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18 + 20)\/((5\/(-6))\/(-5)). Suppose -209 = c*j - 41. Let o = -0.03 - 0.37. Is j < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 10:34 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.3 + -165.3. Let g = -163 - b. What is the nearest to -1 in 0.4, g, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-13\/4)*l*l)\/(l\/((l*l*l**7*l*l)\/l))*(l\/(l\/(l*l**11)))\/(l*l**0*l) assuming l is positive.\nAnswer: l**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 13025.74 and -2.\nAnswer: 13023.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -24*o + 11. Let s = -35 - -41. Let y(n) = -11*n + 5. Let l(j) = s*x(j) - 13*y(j). Let f(w) = 4. What is f(m) - l(m)?\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 156 - 6614.\nAnswer: -6458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*h + 403 - 56 + 46 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 63 and 68 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 1:53 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-2)\/(-18)*9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y = -16*y + 9*y + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from bgfftttfttftfzf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.05, 113, 2881, -1\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1600 divided by 5?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -25. Put -2, 0, b, 4 in increasing order.\nAnswer: b, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7540*m + 7536*m - 15075*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -6. Let d = 13 - i. Which is the second smallest value? (a) d (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -8*r**3 - r**2 + 2*r + 8. What is the tens digit of j(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -421\/95 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98.4 + -98.5. Which is the nearest to o? (a) -2\/5 (b) 1\/4 (c) -3\/11 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -38*r**2 + 184*r**2 - 73 + 174 - 100. Let z(h) = 2*h**2. Give z(o(g)).\nAnswer: 42632*g**4 + 584*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**3\/g)**(-1\/40)\/(g**(-8)\/g*g\/((g\/g**(-9))\/g*g*g)) assuming g is positive.\nAnswer: g**(757\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (65\/(-15) - (-2)\/(-6))*-1. Is 5 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2\/3*u**3 - 14\/3*u**2 + 0*u + 8\/3 + 2*u**4 + 2\/3*u**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*g - 32, -g = -2*g - 4*s + 28. Let y = 12 + -7. Suppose -16 = -y*p - 3*r, 2*r - 10 = -4*p + r. Solve -p*w = w - g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1065 (b) 0.3 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2004 at most as big as 2003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 7268022?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**2 + 1\/120*s**6 + 0 - s**3 + 1\/20*s**5 + 0*s - 1\/4*s**4. Suppose -6*d + d - 8 = 2*o, 0 = 2*d. Determine f(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -7*d + 38. Let m = 5 + -10. Put 3, m, d in descending order.\nAnswer: d, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + -1 + (34 + -26 - 29)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*4*2)\/(sqrt(972)*-3)*2.\nAnswer: -16*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((7 - 1)\/(-12))\/((-3)\/507774) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 1441 = -764. Suppose 6*n + o = 11*n. Suppose 47*l = n*l - 316. What are the prime factors of l?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26644 and 1138.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 14*i = -338. Suppose -z = -2*j - 0 - i, -j = -5*z + 38. Solve 0 = -m - 11 + z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15, -34, -77, -156, -283, -470?\n\"Answer: -2*a**3 - 5*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -273, -71\/8, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24892\/1397 + -21 + 3. Which is the closest to -1\/4? (a) i (b) 0 (c) 3\/8 (d) -8\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 28429124?\nAnswer: 85287372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25640 and 900.\nAnswer: 23076000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from qyqciyyqqcqqjeyiqi.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 + 28*p + 4. Let i(l) = -8*l**2 + 70*l + 10. Let s(k) = -2*i(k) + 5*z(k). Let b(u) = 1053*u - 2. Give s(b(j)).\nAnswer: 1108809*j**2 - 4212*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 504061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 11920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86721 = -5*a - 2*o, 2*o - 9 = -13. What are the prime factors of a?\nAnswer: 5, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/64)\/((-1)\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102\/15*(-60)\/(-24).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 26183267.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5136, 5139, 5142?\n\"Answer: 3*d + 5133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2328749\/13313040 + 518\/4267. What is the common denominator of 25\/3744 and a?\nAnswer: 18720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 g, 1 i, and 1 t when four letters picked without replacement from zgzzgzlgitl?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -190\/253 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9, 54, 131, 240, 381?\n\"Answer: 16*p**2 - 3*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v*v\/v**(-3\/2)*v)\/v))\/v**(-2\/29))\/(v**1\/(v**(3\/2)*v)))\/((v**1)**(-2\/151)\/((v*v**(7\/2)*v)\/((v\/v**(-3\/2))\/v))) assuming v is positive.\nAnswer: v**(13497\/4379)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 - 2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 181 + -179. Suppose u*h - 4*s = -6, -24*h - 3 = -22*h - 3*s. What is t in 1\/2 + 1\/8*t**4 + 1\/4*t**h - 1\/2*t - 3\/8*t**2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -281*d**2 - 5. Let w(k) = -1265*k**2 - 22. Determine -22*i(c) + 5*w(c).\nAnswer: -143*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 839512.5417 to the nearest 1000.\nAnswer: 840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9318?\nAnswer: 2, 3, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.51455636.\nAnswer: -2.5727818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 + -1001111000101111101?\nAnswer: -1001111000101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*v + 603 = 5*v, 5*v = 2*x - 421. What is x rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h - 90. Let a be l(-19). Solve -a*y - 40 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**5 - 12*o**4 - 12*o**3 + 44*o**2 - 24*o = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-358)\/90 + 4 - 3\/(-15)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64971 + 71242.7. What is i rounded to the nearest one hundred?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-73 - 39 + 0)*(-2*i + 3*i - 46 - 1) to the form k + q*i and give k.\nAnswer: 5264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 801018 by 801018.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173489616 by 491472.\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1343 + 1553 = -10*b for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**4\/3 - 20*c**3\/3 + 107*c**2\/3 - 52*c\/3 - 60 = 0.\nAnswer: -1, 2, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-474))\/(-18*(-14)\/504).\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82262517 and 7443?\nAnswer: 2481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + -1. Let o(g) = 39*g - 507. Let w be o(13). What is the closest to -1\/2 in -4, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25\/20 - 1655\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bggg when four letters picked without replacement from bbmgnbbgnngfgbbbm?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x + 26312 = 73*x. Calculate the remainder when x is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1452)*-4 - sqrt(1452)) + (sqrt(972) - -2*sqrt(972)))\/(sqrt(400)*-2*-5*-1)*4.\nAnswer: 28*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002259 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 23*t**2 - 251*t - 3. Determine w(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/22*4\/3*18\/(-468).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 555142172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83376313.\nAnswer: 17, 19, 258131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 664 and 31800.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + -1. Let i(v) = 214*v**2 - 43*v + 14. Let h(r) = 429*r**2 - 94*r + 29. Let o(y) = -4*h(y) + 9*i(y). Is o(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1782422*b**3 - 30*b**2*y**2 + 2*b*y**2 + 221*b*y - 131*b + 2*y**2 - 1 wrt b?\nAnswer: 10694532*b - 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-70) - ((-717)\/(-231) - 3).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**4\/4 - 8*r**3\/3 + 3*r + 2. Let o(z) = 9 + 33*z + 25*z - 57*z - 3 - 1. Let t be o(3). Give s(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25772 and 544.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(-6)*h))\/(h**(-2\/63)*h))**(-2\/85))**(1\/2) assuming h is positive.\nAnswer: h**(-317\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3133*r - 3135*r = -107, m - 2*r + 87 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 7, 0, -39, -210.\nAnswer: -210, -39, -6, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 3*h - 2, 10369*h - 10373*h + 2 = 2*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 9978001?\nAnswer: 2\/9978001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -83460 divided by 1391?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 42615836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 35*g**2 - 7*g + 5. Let s(p) = 35*p**2 - 6*p + 4. Calculate 6*n(r) - 7*s(r).\nAnswer: -35*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t - 3*t - 7 + 5 = -178 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2. Let s(u) = -2*u. Let q = -6 - -5. Let v(l) = -l - 3. Let f(b) = -b - 5. Let n(z) = -3*f(z) + 5*v(z). Let r(j) = q*s(j) + 2*n(j). Give k(r(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*v - 81*v + 350 = 0. What is the highest common divisor of 80 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**5\/15 - 1246*t**4\/15 + 250*t**3 - 3754*t**2\/15 + 1252*t\/15 = 0.\nAnswer: -626, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 + 24.51. Let y = l - 21. Let w = y - 3.6000002. What is w rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 10*y + 7. Let v be s(9). Let b(m) = m + 5. What is the smallest common multiple of b(v) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -20, 1374, 3, -4 in increasing order.\nAnswer: -20, -4, -3, 3, 4, 1374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 4. Let l = 3 - d. Which is the biggest value? (a) -0.1 (b) -0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31565 is divided by 52?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.3 - -12.21. Sort 4, m, 2 in increasing order.\nAnswer: m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -83\nAnswer: 5.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**5 - 2112*h**4 - 276660*h**3 + 561800*h**2 = 0.\nAnswer: -265, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1834, -3670, -5510, -7354, -9202, -11054?\n\"Answer: -2*p**2 - 1830*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a day?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/7*30\/300*-35?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a millimeter in micrometers?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39638*v**2*y**3 - 2*v**2*y + 14*v**2 + 7*v + 22*y wrt y?\nAnswer: -237828*v**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -q - 3*z, -4*q - 3*z = 0. Let t be (q + -2 + 3)*3. Factor -2*s**4 + 8\/3*s**t + 0 + 0*s - 2\/3*s**2.\nAnswer: -2*s**2*(s - 1)*(3*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25864738?\nAnswer: 2, 19, 680651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2346 = -59*v - 41*v - 41*v + 192*v for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -9*m**2\/2 - m + 722. Let d(w) = 2*w. What is d(k(s))?\nAnswer: -18*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*z - 3138 = 0, 0*y = y + 4*z - 1039. Let w = y - 629. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 + 68\/(-8))*20\/(-8)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 1.1 (b) 6 (c) -4\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, -225, -625, -873, -789, -193, 1095?\nAnswer: 3255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64.6 - 62. Let d = 2.6 - o. Let x = 0.1 + -0.5. Which is the closest to d? (a) 1\/3 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 0.2216.\nAnswer: 0.5216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*x + 115*x - 79*x + 162.\nAnswer: -44*x + 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s + 2. Let c(h) be the third derivative of -h**4\/8 - h**3\/3 + 53*h**2. Give 3*c(u) + 4*z(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*b = 66*b + 38*b - 255 + 1037 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 28*v**2 - 2*v - 3. Let u be y(-2). Let i = u + -98. What is the highest common factor of i and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 0, -0.4, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(44)\/sqrt(4) + -1)**2.\nAnswer: -12*sqrt(11) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.8 (b) 0.4 (c) 2\/11 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -718039218204?\nAnswer: -718039218203.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -91446 divided by -17\nAnswer: 91446\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(13) - sqrt(91)\/sqrt(7)) + 3 + sqrt(13)))**2 - (-1 + sqrt(1300))*1.\nAnswer: 86*sqrt(13) + 353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2518, 10028, 22508, 39928, 62258, 89468, 121528?\n\"Answer: -5*z**3 + 2515*z**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.8 + -8068582718.\nAnswer: -8068582721.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 * 13438.\nAnswer: -2015.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 909*y = 901*y - 592530 + 2779994. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1, -3, -2\/7, 19 in decreasing order.\nAnswer: 19, -2\/7, -0.3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7467, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/2725 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79907394?\nAnswer: 2, 3, 7, 79, 24083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6103202.\nAnswer: 2, 7, 233, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24 - -34) + (0 - -126) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 11*a**2 - 3*a + 6. Let y = 27 + -21. Suppose 0 = -g - g - y. Let q(w) = 4*w**2 - w + 2. Calculate g*j(h) + 8*q(h).\nAnswer: -h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 275*x + 5055. Give a(255).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24092357?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 91229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + -1*(-1*sqrt(65) + sqrt(65)))*-2*-4)\/(((sqrt(240) + (sqrt(240) - (-2*sqrt(240) - sqrt(240))))\/sqrt(12))\/(sqrt(4) + sqrt(20)\/sqrt(5)*2)).\nAnswer: 24*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**2. Let f = -53 - -77. Let o(g) = -24 + g**2 + f. Give o(a(z)).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 26, 31, 22, -7, -62, -149?\n\"Answer: -m**3 - m**2 + 15*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000435 to 7 dps.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 591 in ascending order.\nAnswer: -5, 1, 591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 351 and 9936?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 2*a + 20, a - 3 = -2*n + 4*a. Let p be ((-372)\/(-18))\/(4\/n). Let h = 49 + p. Calculate the highest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001 + 101?\nAnswer: -1011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 22 = -3*m. Calculate the smallest common multiple of 2\/(-16) + 588\/96 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 3:09 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -160*w**2. Let d(n) = -199*n. Give k(d(t)).\nAnswer: -6336160*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1936 = -3*l + 65. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gka when three letters picked without replacement from {d: 1, g: 1, k: 1, z: 2, l: 2, a: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 43\/2 of a day?\nAnswer: 516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + (sqrt(76) - (sqrt(76) - sqrt(76)*1)*-5) + sqrt(76))\/sqrt(4))**2 - ((sqrt(19) - (3 + (0 + sqrt(19))**2)) + (-2*sqrt(304))**2)) + 3.\nAnswer: -1020 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18368 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: Calculate the remainder when 261 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-20)*25\/10)\/((-2226)\/3180)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2826 and 792.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/9)\/(1\/(-6)). Suppose -2*p + 84 = -z*g, 147 = 3*p + 4*g - 0*g. Let o = p - 29. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -231 - -16653446?\nAnswer: 16653215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, n: 5, g: 1, i: 4}. What is prob of picking 2 w?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 12:23 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 81167059 or 81167060?\nAnswer: 81167060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20554974.\nAnswer: 2, 3, 11, 103813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 347164 at most as big as 347166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/((1372\/21)\/(-14)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*f - 30*f - 2*f to c + o*f and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-18)\/s)\/s*s)\/s*s*(s\/((((s\/s**(-8\/11))\/s)\/s)\/s))\/s)\/(s*s**(-2)\/s)**(-48))**38 assuming s is positive.\nAnswer: s**(-47538\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrirmrkkinririkrr. What is prob of sequence ri?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 4:14 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1086+0.2\nAnswer: 1086.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 618*p**2 - 1236*p**2 - 2 + 616*p**2 + 46*p + 3*p**4 as z*p**2 + v*p + s*p**4 + a*p**3 + c and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -169.8, -2\/7, 1\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.08 - -33.8. Let p = 0.280001904 + z. Round p to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 7:04 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8563*u**3 + 2*u**2 + 24624?\nAnswer: -25689*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 290*r**2 + 22484*r - 138200032?\nAnswer: 580*r + 22484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5420 = 8620. Find the common denominator of i\/(-880) - 3\/(-5) and -81\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 8*w + 2 + 0)*(2134*w + 2673*w - 3613*w) to d*w**2 + z*w + p and give d.\nAnswer: 9552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(544)*-3)\/(-5*sqrt(2)*-5)*-2.\nAnswer: 24*sqrt(17)\/25 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 12*g = -7*g - 13, g + 48 = 4*u. Suppose -214 = u*k + 127. Is -29 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - -24) + (-16 - -8) + -1 + 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6*g = 8. What is the third biggest value in 3\/4, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 1:59 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1651*n**2 - 768*n**5 + 1009*n**4 - 7*n**5 - 1007*n**4 wrt n?\nAnswer: -46500*n**2 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526594 is divided by 263290.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d**2 - 1 + 1)*(0*d**2 - 2*d**2 + 4*d**2) + (-2*d + d**3 + 2*d)*(0 + 3*d + 0) to u + p*d**2 + r*d**4 + l*d + b*d**3 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*m - 36 + 324. Let k(x) = -x**3 + 11*x**2 + 15*x + 27. Determine k(m).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59.7 + -67. Let p = -7.3269 - i. Let u = 0.023 + p. Round u to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 - l**3 + 3*l**3)*(6*l - 3*l - 6*l).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 14 = -4*w, -6 = -4*w + w + 3*v. Suppose j + w*n = -25, -3*n + 30 = -4*j - 5*n. Let z(a) = a**3 + 6*a**2 + 2*a - 3. What is the units digit of z(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 6*i**2 + 13. Determine m(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -2)\/(4\/2). Let c = 0 + h. Let p be (-37 - -38)*25\/(-60). Is p < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 63\/1 - 534\/(-89). What is the highest common divisor of r and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2393, 2398, 2405, 2414, 2425?\n\"Answer: f**2 + 2*f + 2390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 65*m - 1. Let c(f) = -28*f**2. What is l(c(z))?\nAnswer: -1820*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a factor of 935627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20a - 1?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.8755 grams in nanograms?\nAnswer: 76875500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3380 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: Let y = -132 - -138. Does 39 divide (-2)\/(-5) - (733\/(-5) - y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 648735 (base 11) to base 16.\nAnswer: fd073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*m**5 - 76*m**2 + 12*m - 39 wrt m?\nAnswer: 120*m**3 - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j - 12. Suppose 64*h - 6 = 59*h + 3*t, 5*h - 3 = 4*t. Let i(q) = -6*q - 4*q - h*q + 14*q. What is i(n(x))?\nAnswer: -5*x - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/10 + 2\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-4))*x*x)**(-33)\/(x**(-10)\/((x\/((((x*x**(-1)*x)\/x)\/x)\/x)*x)\/x)) assuming x is positive.\nAnswer: x**79","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 3*z**2 + 1. Let j be m(1). Let l be 8 - 8 - j*2. Suppose -l*n + 2 = -2. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 35*h**2 - 245*h + 275.\nAnswer: 5*(h - 11)*(h - 1)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 64. Suppose 0 = 3*m - 4*m + x. Let o be m\/(-10)*(-2 + (-63)\/6). What is the highest common divisor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 138*j + 2. Let g(a) = 139*a + 3. Let b(k) = -4*g(k) + 5*t(k). Let m be b(3). Round m to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/(-216))\/((-65)\/(-60))?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16614937.1 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7571304959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**6\/30 - 24*w**5\/5 - 160*w**2 + 4*w + 173. Let a(i) be the first derivative of c(i). Differentiate a(r) with respect to r.\nAnswer: 4*r**3 - 288*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 78, 124.\nAnswer: -3, 78, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fifssoisfxoffffsx. What is prob of sequence xs?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/216866 and -81\/45656?\nAnswer: 867464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 353 by 12.\nAnswer: 353\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.19972 - -0.1447. Let d = y + 0.0693. What is d rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, 1\/4, -41, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4800?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tonuooujjroj. Give prob of picking 1 o and 1 r.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 903*h**2 - 5 + 3 - 157*h**4 + h - 905*h**2 in the form d*h**4 + k*h**2 + p*h**3 + g + n*h and give d.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 9, -19, 5, -4198 in descending order.\nAnswer: 9, 5, -11, -19, -4198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-10) + (-63)\/(-15). Let b(o) = -2*o. Let c be b(-3). Suppose -2*t + c + 2 = 0. Is t greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 129*l + 26. Calculate c(-3).\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, t: 10, g: 1, r: 1}. Give prob of sequence aag.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 19*k + 8*k**2 + 6*k**2 + 120 - 125. Let w be g(9). Let r = -567 + w. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9720 and 10?\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*a = -71 - 5, 0 = 2*y - 5*a - 26. Suppose i + 5 = 0, 2*j = -2*j - 5*i - 97. Let u = y + j. Solve -3 + u = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3775535, -3775523, -3775511, -3775499?\nAnswer: -3775487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5131.054ml to litres.\nAnswer: 5.131054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**2*t**6 + 3*o**2*t**2 - 68*o**2 + 52393*t**6 - 2*t**2 - 540*t - 2 wrt t.\nAnswer: -240*o**2*t**3 + 6287160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 266 + -308. Let a be (-2)\/(-12) - (-9)\/(324\/i). What is the nearest to -4 in 0.3, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -16*w**2 + 5*w + 10. Let j(z) = -3*z**2 + z + 2. Let c(f) = -22*j(f) + 4*p(f). What are the prime factors of c(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from lllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 351047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 333 + -125. Suppose 19*s - 145 = 349. What is the highest common factor of s and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/415 + -5383\/2490. Let w = 3\/2 + j. Let f = -0.072 + 0.172. Is w bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9*q - 24. Let a(w) = 3*w + 8. Let p(x) = 8*a(x) + 3*t(x). Let z be p(-3). Let d(s) = -6*s**2 + 2*s - 2 + 5*s**2 + 1. What is d(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -176 + 78528\/448 + (-948)\/(-63) + (-4)\/(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*s - 27*s - 32*s + 29 in the form x*s + j and give j.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 221\/33 + (-423)\/165 + 451\/205?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.89 - -14.96005. Let f = d - 0.07. What is f rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 9 = 4*u, -33 = -5*s - 4*u. Suppose -21 = -5*r + s. Suppose 8 = 2*k - r. Solve 2*a - k = 2*l + 3, -l - 5 = 3*a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -4\/21*b**3 + 2\/7*b**2 + 0*b + 14. Factor v(u).\nAnswer: -4*u*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*r - r**3 - 50*r**2 + 338 + 3*r**3 + 264*r.\nAnswer: 2*(r - 13)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 817 - 815 = 0. Let x(o) = -o - 3. Let h(l) = -1. Let m(n) = 4*h(n) - x(n). Let g be m(5). Sort y, g, 3 in descending order.\nAnswer: g, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 43\/2 - 2\/4. Suppose 0*h = h - 4*o - 13, 3*h = -3*o - n. Sort h, 0, -1 in ascending order.\nAnswer: h, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 470 and 35?\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(9\/2)\/(m**(4\/15)\/m*m))\/(m*m*m\/m**(-2\/9))**(-45) assuming m is positive.\nAnswer: m**(4477\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9162, 7198, 3924, -660, -6554?\nAnswer: -13758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84027 and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 4, -3, 26 in descending order.\nAnswer: 26, 5, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-23)))\/((r\/(r\/r**(6\/7)))\/r))\/(r*r\/(r*r**13*r)*r**(-14)) assuming r is positive.\nAnswer: r**(351\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303343 is divided by 139.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: -1.72 * 48\nAnswer: -82.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207879 and 1596?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*f + 9*f - 7820 = 342*f - 66*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 149773 and 23514361?\nAnswer: 23514361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -26\/3, 0, 1\/2 in decreasing order.\nAnswer: 2, 1\/2, 0, -26\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.3009, 0.01, -2, -32, -7?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 598\/51 + -26827\/2040. Calculate the common denominator of -39\/16 and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (333\/36)\/(1\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 29 - 59 = 0. Let x = -8 - -5. Let l be -5*2\/(1 + x). Solve -p = l*g + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83486.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v. Let i = 1 - v. Let c(w) = -w**3 - 11*w**2 - 12*w - 13. Let l be c(-10). Calculate the highest common factor of l and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-2))\/1)\/(((-75)\/(-600))\/((-17)\/102)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2537198.\nAnswer: 2, 1268599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5\/5 - 3038*l**4 - 26465616*l**3\/5 + 9023183208*l**2\/5 - 142079676480*l + 140280336000 = 0 for l.\nAnswer: -3948, 1, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(6*sqrt(27)\/sqrt(9)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtxnxxxxxxxu. What is prob of picking 2 u and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 3)*(0*s**2 - 7*s**2 - 6*s**2 + (1 - 1 - 1)*(-2 + 2 + 2*s**2))*(83 - 2*s - 83) to the form q + c*s**2 + g*s + a*s**3 and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7384609 is divided by 682?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.8 * 0.1.\nAnswer: 1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/7 + 16\/7. Suppose -46*r + 6560 = -5*r. Let s be (r\/6)\/(i\/(-75)). Round s to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11028418?\nAnswer: 2, 5514209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwuuuugwwggguuguwu. What is prob of sequence wg?\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 496787?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 328352784 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.169 - 1.169. Which is the third smallest value? (a) -0.09 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-48))\/(6\/(-8))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 23. Let d be 13\/l*72\/2. Suppose -x - d = -4*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 3*o**2 + 7 - 6*o**2 - 4*o**2 - 4*o**2. Let m be v(-11). Let x be ((-10)\/35)\/(3\/m). Which is the closest to x? (a) 0 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - r - 4 = 3, 0 = -5*f + 4*r + 14. Put 5, f, -5, -1 in decreasing order.\nAnswer: 5, f, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -4. Suppose -q = -5*p - 2*i + 18, 23 = 4*p - i. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3126 - 3121. Put d, 2, -14 in increasing order.\nAnswer: -14, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (72\/30)\/((-3)\/(-15)). Solve j = y + 2*y + 16, -2*y + w = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.516 to the nearest integer.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 792818448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 141 - 158 = 0 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-12 - (27 + -14 - -1))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4\/9)*g**(-13\/5)\/g*(g**(-2)\/g)\/g*g**(21\/2) assuming g is positive.\nAnswer: g**(221\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l - 4*l - 5*l - 6*l**2 + 3*l**2.\nAnswer: -3*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -4214?\nAnswer: 4221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2015 + 0.0092?\nAnswer: 2015.0092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-21)*252\/288.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(1\/2))**(1\/38))**(38\/5) assuming u is positive.\nAnswer: sqrt(u)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 525 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 3*p - p**2)*((p + 3 - 3)*(2 - 3 + 0) - 20*p - 19*p + 11*p + 2 + 2*p - 2).\nAnswer: 27*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (65 - 4) + -2 - 0?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2596 divided by 1298?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 144\/42)\/(2*21\/(-98)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -434031 (base 6) to base 9.\nAnswer: -54181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.102, 2\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/20 + 54\/30. Find d such that d + 7*d - 8*d - d**b - d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 451*w**2 - 91550*w - 609. Give r(203).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -8*z + 1. Solve 7*t = 8 - z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**6\/120 - y**4\/16 - y**3\/12 + 16*y. Factor a(u).\nAnswer: u*(u - 2)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 0*d - d + 1.\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 100*m - 1. Let h(y) = 7505508*y. Determine r(h(p)).\nAnswer: 750550800*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58740508?\nAnswer: 2, 17, 67, 12893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**3 - 2*p**2 + 3*p + 3. Let j(q) = -q - 8 + 13*q**3 + 4*q**2 - 6*q - 2 + 3. Let a(v) = 7*g(v) + 3*j(v). Find the third derivative of a(z) wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, 0, -2\/5, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 5. Suppose 5*m = -5*w, u*w + 0*m - 28 = 4*m. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -14 + -2 + (-2 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z + 9862488 = -5*b, 5*b + 9862476 = -4*z. What is b rounded to the nearest 10000?\nAnswer: -1970000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2443961.\nAnswer: 13, 37, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r - 43*r - 637106 + 637099 + 18*r.\nAnswer: -7*r - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -2, -2\/13, 198, 0.002, 2, -1.25?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -13.7. What is the biggest value in l, -1, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuwwuk. Give prob of picking 2 w.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8408924 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 2*i - 34. Let m = 36 + i. What is the closest to 0.1 in -2\/17, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/28 - (-119)\/28. Solve -x + z*x + 0*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 6 + 6)*(0 + 0 + 2*x**2)*(-3*x - 33 + 33) + (0*x**2 + x**2 - 5*x**2)*(4*x + x**2 - 4*x) + (4*x**2 - 4*x**2 + 3*x**3)*(3*x - 4*x - 2*x).\nAnswer: -7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 13*w. Let c(g) = -755*g + 12. Determine c(u(q)).\nAnswer: -9815*q + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 < 8462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103\/3 + 35. Which is the third smallest value? (a) 5 (b) -0.1 (c) 3\/7 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let v be u(-10). Let x(n) = v + 6*n**2 - 10. Let b(r) be the second derivative of -r**3\/6 - r. Determine b(x(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -15*f - 3. Let n(s) = s**2 + 5*s - 6. Let u be n(-5). Let m be b(u). Suppose -113 = -4*w + m. What is the remainder when w is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391611.\nAnswer: 3, 11, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 8*w**2 - 2*w - 8. Let v be l(-8). Suppose -16*p + 429 = -467. What is the greatest common divisor of v and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**2 + 69*d + 5. Calculate the remainder when 159 is divided by b(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14809748 bigger than 14809750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 136, -4, -23547.\nAnswer: -23547, -4, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146278610 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Suppose 3*o - 7*o = 3*b - 12, s*o + 12 = 3*b. Suppose -l + 0*l + 2 = 0. What is the greatest common divisor of l and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4681074l to millilitres.\nAnswer: 468.1074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8597055.841 + 8597075.140999505. Let s = -0.6539 - 18.6461. Let i = f + s. Round i to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2*k = -55, -q - 6 = -2580*k + 2583*k for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 45783*f + 274698. Calculate d(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2166*b = -2162*b - 732. Calculate the remainder when b is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/107536 and 101\/2271698.\nAnswer: 18173584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 18 + 154 = 2*b, -20 = -n - 4*b. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1939, 7316, 16115, 28330, 43955, 62984, 85411?\nAnswer: 111230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and -20498.\nAnswer: 409960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y + 3*y)*(-2 - 2*y + 2) + 2 + 2*y**2 - y**2 - 2*y**2.\nAnswer: -3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 5024, 1 in decreasing order.\nAnswer: 5024, 1, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/1 + -11 + 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1467 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**5\/180 + 17*r**4\/108 + 40*r**3\/27 + 32*r**2\/9 - 1596*r. Determine k so that t(k) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 1 + 2 - 4 - w**2. Let z(f) = -12*f**2 + 10*f - 10. Let i(m) = -m**3 + 5*m**2 - 5*m + 3. Let h be i(4). What is h*z(s) + 10*y(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 361627622 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 10064299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 174205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2642890\/7?\nAnswer: -2642890\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 8) in base 4?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6 + 168\/18. Let g = -873 - -954. Calculate the greatest common divisor of n and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*k**3 - 20*k**3 - 24*k**3 - 16 + 46.\nAnswer: -9*k**3 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**3 + 6*u**2 + 17*u - 2. Let x(c) = -c**3 + 3*c**2 + 8*c - 1. Let q(k) = -2*w(k) + 5*x(k). What is the remainder when 26 is divided by q(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 42. Suppose -c*j + 3*j - 4*a = 48, 33 = -4*j + 5*a. Calculate the remainder when 46 is divided by (-8)\/j*-6 - -16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44296 by -56.\nAnswer: -791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165057 is divided by 1512.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -14232 times 0.4\nAnswer: -5692.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 111111114 (base 7) in base 9?\nAnswer: 13580713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 253 + -253. Let t be (1 + 1\/1)*1. Solve z*f = -t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -18*b - 29\/2*b**2 - 3. Find the first derivative of k(x) wrt x.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1607277 decades to months.\nAnswer: 19.287324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 106 and 26447.\nAnswer: 52894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*s = 43*s + 521 + 2139 + 700 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - c**3 - 1874 + 1874. Let a(m) = -m**3 - 2*m**2 - m. Determine -a(l) + 2*b(l).\nAnswer: -l**3 + 2*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1269 = -50*k + 431. What is the highest common divisor of k and 799?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13989787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2764, -5499, -8234, -10969, -13704?\n\"Answer: -2735*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000652 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 14*x + 31. Calculate j(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*w - 4 - 6 + 10 in the form z + l*w and give l.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1510*v - 3 - 1531*v + 29 wrt v.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 51 = 2*w, w = -3*j - 2*j + 219. Let b be (-2)\/3*(-138)\/4. Let n = j - b. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6}. Give prob of picking 3 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -842991.237 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 15 - 10 - 3 - -8175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1123038 - -5242341529\/4668. Calculate the common denominator of m and -1\/132.\nAnswer: 51348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g = 24660 - 93267. Let j = g - -4304. What is j rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0287 and -14364.\nAnswer: -14364.0287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**3\/6 - o**2 + 37*o. Let l(u) be the second derivative of 5*u**3\/2 - 33*u**2\/2 - 164*u. Give 4*l(w) - 66*n(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1131 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/(-8)*(-110)\/(-36630)*74.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1064 + 1499. Suppose -5*j + 4*i = -i - f, 4*i = -5*j + 444. Calculate the greatest common divisor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(-2\/19))\/(x**(3\/2)*x))\/(x**(2\/19))**(11\/3) assuming x is positive.\nAnswer: x**(-89\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + (-17635)\/(-270)*4*12. Let h = -3144 + c. Let t = -6\/35 - -313\/70. What is the common denominator of h and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*m - 3981*m - 770750 = 1328*m + 1216*m for m.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*b + 12 - 12)*(-3 + 5 + 1 + (2 - 4 + 4)*(1 + 3 - 2)).\nAnswer: -196*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 250 + -109. Let z = m - 140.9999565. Round z to 6 dps.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -784*x - 7637. What are the prime factors of g(-53)?\nAnswer: 3, 5, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5985802 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25394\/9 or -2822?\nAnswer: -25394\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**3\/3 + 6*c**2 - 3*c. Let t be y(5). Suppose 2*z = -t*z + 144000. What is z rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 1088.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -12*i + 0*i + 17*i - 7*i. Let v(l) be the second derivative of -l + 0 + 0*l**2 - 7\/6*l**3. Give o(v(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**4 - 3*j**2 - 2*j - 3 + j**3 + 2*j**2 + 2*j as y*j + w*j**3 + d*j**2 + n + m*j**4 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p**2 + 3*p + 3. Let t be l(-1). Solve -8*n - 5 = -t*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 41\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5327 and 7253852?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*w = 35, -4*h + 8*h + 3*w = 101. Let n(d) = -d - 31. Let f be n(-10). Let y = f + h. Solve q = 2*s + 7 - y, -2*s - 3*q = -7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4357 is divided by 89?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -28.5. Let p = t + -18. Which is the third smallest value? (a) p (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -14*v**3 + 211*v**2 - 391*v + 177. What is p(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -11. Let f = -152 + 78. Let d = f - -664\/9. Which is the smallest value? (a) h (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + h + 2*h)*(-h**3 - 5*h**3 + 11*h**3) + 3*h**3 - 3*h**3 + 2*h**4.\nAnswer: 7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2 - 4946*r = 0. What is r?\nAnswer: 0, 4946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3)*u)**(-49)\/(u**(-1\/3)\/(u*u**7)) assuming u is positive.\nAnswer: u**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 105?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -831 = -5*n + 319. Suppose 2*i + 3*i = n. Let s = -26 + i. Calculate the greatest common divisor of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w + 4. Let d(s) = -2*s - 3. Calculate 3*d(f) + 2*v(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/13)\/(u*u**(-17)) assuming u is positive.\nAnswer: u**(209\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 95.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**3 - 7133*z**2 + 7133*z**2.\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14256483, -14256488, -14256493, -14256498?\n\"Answer: -5*m - 14256478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5694 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (5 - (13 - -15)) + -22?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 1 = 5. Let q = g - -3. Solve -3 = b + q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 10:26 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -558, -603, -670, -753, -846, -943, -1038?\n\"Answer: i**3 - 17*i**2 - i - 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1660 * -125.1\nAnswer: -207666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ull when three letters picked without replacement from {l: 2, h: 2, u: 12, r: 1, v: 1}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1865 or 1859?\nAnswer: 1865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3314*l**3 + 5075*l**3 - 3108*l**3.\nAnswer: 5281*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 11) + 5 + -62 + 52 + 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 148967*a*f - 242718012*a + 199*f wrt f?\nAnswer: 148967*a + 199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1421 (base 5) to base 10\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5*u - 608 - 82, u - 527 = -3*v. Suppose -5*t = 4*p - v, 0 = -3*t - 0*p + p + 105. Suppose 0 = -g + t + 1. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162724499 to the power of 1\/4, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*d = 44, 4*v - 31*d + 33*d - 128 = 0. What is the highest common factor of 1260 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172448 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 739 and 76640?\nAnswer: 56636960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrbrzvpr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9097734469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -13. Let m(d) = d**2 - 3. Let s(j) = -2*j**2 + 7. Suppose 12*g = -2*k + 17*g - 37, 5*k + g + 25 = 0. Give k*s(z) + q*m(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 238, 67, -0.2?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 150196, 150207, 150218, 150229, 150240?\n\"Answer: 11*y + 150185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*p + 14513 - 986883 = 0, 4*p = 12. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -4*s - 314. Let q be s\/(-12)*(-124)\/31. Sort q, -4, 3 in descending order.\nAnswer: 3, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3693*u**2 + 3690*u + 3.\nAnswer: -3*(u - 1)*(1231*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + 10*q. Let p be t(-6). Let l = p + 10. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + sqrt(847) + -3 - sqrt(847) - (5 + sqrt(847)*2)) + 5 + (sqrt(847) - (sqrt(847) + 2)) + 2 + -3)**2.\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/12? (a) 3 (b) -2\/77 (c) -4 (d) -0.4 (e) -3 (f) -2.63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 532 and 665.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1060101 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 325635?\nAnswer: 325640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 124.36 and -2?\nAnswer: 126.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 170196 = 4*i + 7*i. What is the ten thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 536682, 536653, 536610, 536547, 536458, 536337, 536178, 535975?\nAnswer: 535722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Let h be (-3*l\/(-6))\/(1\/9). Calculate the greatest common divisor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1539167 times 39\nAnswer: 60027513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**3 + 2*r**2 - 5. Let p = -9 + 20. Let w(d) = -d**2 + 11*d - 5. Let a be w(p). Let c(y) = 3*y**3 + 3*y**2 - 8. What is a*c(f) + 8*t(f)?\nAnswer: f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 9. Let c be z(5). Suppose -2*t = 2*u - 4*t - 10, -c*t = 4*u - 4. Let p(y) = -4*y + 4 + 5*y**2 - 5*y + u*y - y**3. Give p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 2*o**2 - o + 9. Let m be q(0). Suppose 0 = -4*d + d + m, -d - 76 = -g. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 501, 29, -77 in descending order.\nAnswer: 501, 29, -9, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p = 4*d - 6*p + 7, p + 3 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 + -32. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 399*h + 2 - 1 - 397*h. What is l(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -229 and -0.1?\nAnswer: 22.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -441 + 429.48. Round a to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 840306*o**2 - 420131*o**2 - 420149*o**2.\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6145 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1178, 1106, 1020, 920?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -0.28 (b) -65 (c) -7 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 2*h + 15391 - 6*h + 14560 - 29951.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (24*(-7)\/(-280))\/(1\/(-15))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-747)\/(-81) + 2\/(-9). Let x be 6\/w*(-18)\/4. Is 119 + (x - 4\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2. Suppose 164*m = 167*m - 32958. Let j(l) = 99*l**2 + 10986 - m. Calculate j(v(s)).\nAnswer: 99*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 34 = -t, -6*b - 38 = -t - 2*b. Let a(f) = 18*f + 85. Let r be a(-8). Let p = t + r. Let d(k) = k**3 + 6*k**2 + 8*k + 7. Give d(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 7*t + 9. Let j be v(6). Let g(u) = -u**3 - 18*u**2 + 18*u + 2. Let k be g(-19). Calculate the highest common divisor of j and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135 + -114. Solve -3*m = -3*u + a, 0 = -m - 4 + 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 5:01 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104*t - 29*t + 2*t to the form m + q*t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.04, -0.17, -123, 0.5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 8*f - 7*f + 4*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7\/4)\/(z*(z**(-1\/5)\/z*z)\/z*z*z))\/((z\/z**(-5\/6))\/z*z**(-2\/7)) assuming z is positive.\nAnswer: z**(-1721\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85132.5 centuries to months.\nAnswer: 102159000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131211 - 12022101?\nAnswer: -12213312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - ((-1 - 75) + 135)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 11. Let m(l) = -14*l + 55. What is 2*g(x) + m(x)?\nAnswer: -16*x + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1188 - 609*f + 5361*f + 4700*f - 1188)*(3 + 1 - 6).\nAnswer: -18904*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5592 less than -52?\nAnswer: -5644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-2))\/(-5)*44. Suppose 0 = v + 5*c + 3 + s, -4*v + c + 5 = 0. Let o(t) = 2*t**2 - 36*t + 124. Let h be o(13). Put h, v, -3 in descending order.\nAnswer: v, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 251579*w**2 - 251579*w**2 - 26 + 0*w**3.\nAnswer: 2*w**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -0*b + 8. Let j = -18.6 + 216.1. Let k = 199 - j. What is the nearest to -2\/7 in k, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 6:32 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1))\/((-30)\/90).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 + 1 + -3 + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1703 and 10231?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6115402 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12025 is divided by 11844.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 54*r - 325. Give l(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 0 - (4 - 6). Let p(a) = 4*a**2 - 2*a + 1. Let c(t) = 9*t**2 - 4*t + 1. Let f(s) = l*p(s) - 2*c(s). What is the tens digit of f(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -282\/91 - -44\/13. Let g(d) = 8*d - 45. Let k be g(6). What is the closest to -3 in k, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(3\/(-1)*(-194)\/291)*-18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*p - 2346 = -564, -2*p = -4*n + 2366. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5528 + 2569 = 25*o - 2634 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 u, and 1 f when three letters picked without replacement from ccfccfuccfuc?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -2*h**7\/105 - h**6\/10 + 4*h**5\/15 - 19*h**2\/2 + 85*h. Let n(c) be the first derivative of j(c). Let n(q) = 0. What is q?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j**2 - 47*j + 7. Calculate r(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 912269605 and 845.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**4\/4 - 9*v**3 + 243*v**2\/2 + 13*v. Factor a(w).\nAnswer: 3*(w - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2 - 3611*f + 330598 = 0. Calculate f.\nAnswer: 94, 3517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 357 divided by 17\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834 is divided by 824.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * 21.429\nAnswer: -2.35719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.4, 1, -3, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353 a factor of 56965106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -81*j - j**3 - 70*j**2 - 17*j - 12*j**3. Differentiate t(g) with respect to g.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) + (sqrt(2) - (-2*sqrt(18))\/sqrt(9))**2 + -2) - (sqrt(8)\/(sqrt(28)\/sqrt(7)) - (sqrt(4) - (sqrt(4) + -2*sqrt(4)))\/sqrt(2)).\nAnswer: 6*sqrt(2) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 7871825?\nAnswer: 31487300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13778*i**3 + 833652*i**2 + 419202*i + 52920.\nAnswer: 2*(i + 60)*(83*i + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**6\/120 - s**5\/12 - s**4\/12 + 5*s**3\/3 - 3*s**2. Let p be c(5). Solve -2*n - 2 - 2 = p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 2*z**2 + 6*z + 9. What is the units digit of n(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 20*w - 24*w + 5*f, 115 = -4*w - 5*f. What is the common denominator of ((-5)\/2)\/(15\/w) and -79\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1983682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24978, 24982, 24986, 24990, 24994, 24998?\n\"Answer: 4*m + 24974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 6)\/(-1 + -1). Suppose 2*b = -p - 6, x*b = -0*p + 3*p + 9. Let d = 0 - p. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 107651*r - 645945. Give n(6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 + 2 + -1) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28801 = -76*j + 31917 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/34612 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 80*l. Let s(w) = 2*w. Give s(f(m)).\nAnswer: 160*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84816.6 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = -6*u + 768. Is u bigger than -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 * -21\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -824*l = -652*l + 1376 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qiiqiiiii. What is prob of picking 2 i and 1 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/16 - (-2)\/16*-1322. Is -165 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1349 + 8*i**2 + 1349.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/260 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/(-6)*2*-1. What is the greatest common factor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 42 (c) 18.659\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + sqrt(5))*-2 + 5.\nAnswer: -2*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**3 + 256*h**2 - 528*h = 0.\nAnswer: -66, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 29*t + 305. Is o(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01077 + -0.3.\nAnswer: -0.31077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 16*r - 95. What is the units digit of i(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549341360 divided by 5?\nAnswer: 309868272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 5*a - 281. Find the second derivative of -a*i - 4*i**4 + 27*i**4 + i**4 + 84*i wrt i.\nAnswer: 288*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010491949 rounded to 5 dps?\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296050.\nAnswer: 2, 5, 31, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 175519 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h - 50. Find the common denominator of ((-5)\/h)\/((-2)\/(-195)) and -127\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-33) - (9 - 25218\/99). Solve -p = 64*m + 330 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 615 = 3*w. Let v = -105 + 222. Let b = 148 - v. What is the remainder when w is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/10 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5)*y*y)**14)**(-1\/4) assuming y is positive.\nAnswer: y**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/((-3)\/15))\/1. Let j(w) = 7*w + 5. Let r(c) = -3*c - 2. Give b*r(a) - 2*j(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 > 268572395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1463064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144046 is divided by 88.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 1, 9, 2.\nAnswer: -2, 1, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/7))**(2\/61) assuming l is positive.\nAnswer: l**(16\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffwawaaffwff. Give prob of picking 1 f, 1 w, and 1 a.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t. Let h(u) be the first derivative of u**3\/3 + 9*u**2\/2 + 11*u + 2. Let v(z) = -h(z) - 2*m(z). Let l(w) = 5*w - 9. Let o be l(0). Determine v(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -36 - 10. Suppose 0 = -5*p + c + 12. Suppose -3*s + 3*u + 25 = -u, -u - p = -s. Is s at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/12)\/(142\/(-1704))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d**3 + 21*d**2 + 68*d + 40. Does 11 divide i(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 1014076?\nAnswer: 11154836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.546612 millilitres to litres.\nAnswer: 0.004546612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)\/sqrt(64) - sqrt(102)\/(1*sqrt(2)))*-1)\/(-3*(sqrt(3) + sqrt(27)\/(sqrt(9) + sqrt(9) + 1*sqrt(9)))*-3).\nAnswer: sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -592600 rounded to the nearest 10000?\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107*-5335086.\nAnswer: -570854202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 5335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**3*t + 24823*c*t + 96633*t wrt c.\nAnswer: -9*c**2*t + 24823*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26344354\/20383 + -14217\/11. Calculate the common denominator of y and -71\/102.\nAnswer: 11118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 10 - (4 - (1 - (-4 + -5))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-10))\/(4\/40). Let f(g) = -42*g**2 - 2*g - 6. Let n be f(h). What is n rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.51 - 2.41. Put q, -0.2, 0.02, 0 in descending order.\nAnswer: q, 0.02, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = g - 6*g + 18, 2*r + 18 = 4*g. Let u be (-7)\/(-3) - (r - 2)\/(-9). Solve u*v + 6 = 2*i - v, -i + 4*v + 3 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o. Let n(d) be the third derivative of 0*d**4 + 0*d - 3*d**2 + 0 - 1\/6*d**3 - 1\/20*d**5. Let s(t) be the first derivative of n(t). Determine r(s(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -167 + 305. What is the second biggest value in 0.3, -1\/2, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c8 - a84cb?\nAnswer: -a8203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2319*n + 61. Let p be z(-22). Suppose 0*q - 7*q = -p. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2409, 9644, 21695, 38562, 60245, 86744?\n\"Answer: 2408*t**2 + 11*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.92 - -0.08. Which is the smallest value? (a) 2\/3 (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + s - 1. Let z(a) = -7*a**3 - 3*a + 4. Let o(y) = 3*c(y) + z(y). Let d(b) be the first derivative of o(b). Let g(q) = -q. Calculate d(g(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + m - 1. Let c(n) = -150*n**2 + 2*n - 3. Give c(t) - 2*j(t).\nAnswer: -152*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/24)\/5 + (-6273)\/6408. Which is greater: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/847 and 87\/1800964.\nAnswer: 12606748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 862394490 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -10380*z - 62261. Calculate g(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 744911 (base 10) in base 9?\nAnswer: 1354738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21410 + 2?\nAnswer: 21412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*y - 139012, -3*p - 155783 = -5*y + 191771. What is the thousands digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-10))\/((-1)\/4). Solve 11*c - c**2 + c - 12 - s*c**2 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1531 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 43503*h + 7. Let s be y(5). Suppose -s + 1136396 = p. Let q = p + -2078874. What is q rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(4*n**3 - 4*n**3 - n**5) + 0*n**5 + 4*n**5 - n**5.\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 5*v + 3, -5*f - 23*v = -21*v - 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11672 and 951268?\nAnswer: 1902536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*g - 4. Suppose 4*z - g = 10. What is the second derivative of 10*j**4 - 5*j**4 + 3*j + 3*j - z*j wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 480 + 3*u**2 - 483.\nAnswer: 4*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 0*w - 10 = -w, -w = -3*h + 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 - 56. Suppose l*b - 58 = -c + 47, 2*b = 3*c + 25. Is 7 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.130219 and 42.7.\nAnswer: 42.830219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kuuc when four letters picked without replacement from qguuukuquqcqqukugqu?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3240\/(-60)*(-1)\/(-2) + 8\/1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -6)*(-2)\/(-27). Let w = 7.3 + -7. Let v = -0.4 + w. Which is bigger: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 7) in base 11?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - j - 2*j**3 + 0*j**2 + 0*j**2 + j**3 + (-j**2 - 2 + 2)*(3*j - 2 + 2) + 2*j**3 + 0*j**2 + 0*j**2 + j**2 - j**3 - j**2.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1547 + -3)\/(-8 - -1). Let p = t + 221. What is the closest to -0.3 in p, 1\/8, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (17 + -7 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 23. Suppose 0 = -3*f + 2*f - 3*r - 3, r = -5. What are the prime factors of t(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 312?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 + 46. Suppose -w*p + 6*p = -g - 132, -2*p = -2*g + 66. Round p to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(162) + -1*sqrt(162)*-5 + -3 + sqrt(162) + sqrt(162) + -3)**2.\nAnswer: -52020 + 4320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*w**0*w**(2\/3)\/w**(1\/10))**(-28) assuming w is positive.\nAnswer: w**(1862\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3758.3338 + 3758. Round j to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7305617789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-252)\/9*69\/45402?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9448 - 16.0552. What is the third smallest value in -0.3, o, 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4617, -4408, -4061, -3576?\n\"Answer: 69*w**2 + 2*w - 4688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.171 + 4.1. Let k = -0.039 + v. Let o = 0.11 + k. Which is the nearest to 3? (a) -0.4 (b) -0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3054 a factor of 209663208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2460, 2322, 2126, 1872, 1560, 1190?\nAnswer: 762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) 1\/13 (c) -0.5 (d) 17918\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 90\/(-240) + (26195\/312)\/31. Find a, given that -l*a + 1\/3*a**2 + 0 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63234, 252099, 566598, 1006731, 1572498?\nAnswer: 2263899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 (base 6) in base 5?\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**5\/60 + h**4\/24 - 3*h**2\/2 + 2. Let z(u) be the second derivative of s(u). Let t be z(-1). Solve t = -3*g - 1 - 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 18*x + 1968. Determine p(-109).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26085 + -26085.0010078. What is n rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 - 376 = -4*p. Let q(l) = l**2 - 3*l + 3. Let k be q(3). Suppose 0 = -4*a, -2*a = -2*s + k*a + 274. What is the remainder when s is divided by p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxufmumxymxxupf. Give prob of sequence um.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8*a - 9. Let r(m) = m - 1. Let w(y) = -2*h(y) + 18*r(y). Let x be 1\/(2*(-1)\/(-4)). Let p(t) = t**x - t**2 + 2*t**2. What is w(p(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/10))**(-10)\/((c*c**(4\/9))\/(c*c\/(c*c*c*c**(6\/5)\/c))))**7 assuming c is positive.\nAnswer: c**(-518\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14446 = -168*h - 80*h + 24*h + 4370 for h.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -1069, 219, -4, 1 in decreasing order.\nAnswer: 219, 5, 1, -2, -4, -1069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c + 2*c)*(0*c + 3*c - 4*c) + c**2 + 2*c**2 - c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 414 or 415?\nAnswer: 414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z - z + 89*z**5 - 85*z**5 wrt z?\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8065979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 445143627 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29508.\nAnswer: 2, 3, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*o**2 + 14*o**2 - 107*o**4 - 2 + 1 - 2 wrt o.\nAnswer: -2568*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + 0*d + 0*d + (d**2 - d**2 + 2*d**2)*(-d - 3*d + 2*d) - 3 - 2*d**3 + 3 + (2*d**2 + d**2 - d**2)*(-1 + 1 + 2*d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2\/7*y**3 - 576\/7*y - 60\/7*y**2 - 256 = 0.\nAnswer: -14, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-6 + (-20846)\/(-42)). Sort 4, 5, h, -1 in descending order.\nAnswer: 5, 4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5 = 13. Suppose y*x - 28 = 9*x. Let v be x\/((-52)\/165 - (-2)\/11). Calculate the greatest common divisor of 20 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 10:25 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21492562 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4154 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**5 - 15*s**4 + 30*s**3 + 40*s**2 = 0.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 divided by 3966.\nAnswer: -91\/3966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5 = -0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3542197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/417?\nAnswer: 1\/417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10579 plus -214.4?\nAnswer: 10364.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x + x + 231576 - 227753 in the form i*x + y and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4416065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478469866?\nAnswer: 2, 739234933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 25*n + 12. What is l(-10)?\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, k: 1, r: 8, y: 7, b: 2}. Give prob of sequence kdy.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4)\/r)\/r)**28\/((r**(-4\/5)\/r)\/((r**0\/r)\/r)) assuming r is positive.\nAnswer: r**(-246\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2175 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3797.36995 rounded to 0 dps?\nAnswer: 3797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 0*l**3 - 3*l**2 + 1\/60*l**5 + 0*l + 0 + 1\/42*l**7 - 1\/15*l**6 + 1\/12*l**4. Factor h(z).\nAnswer: z*(z - 1)**2*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1125 = 8075*p - 8200*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 735858*k**4*o**3 - k**3*o**2 - 2*k**2*o**2 - 2893*k**2 - 144*k*o**3 wrt k.\nAnswer: 17660592*k*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 144*v**2 + 280*v + 80. Suppose 5*s = 70 + 280. What is the least common multiple of g(-70) and s?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 86\/(-3)*(-81)\/18. Suppose -616 = -5*t - 3*u + z, -u + 298 = 2*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + -11 + (18 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -9302, -2 in ascending order.\nAnswer: -9302, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + (-7 - -6) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*g, 0 = 5*m - 3*g - 1 - 13. Solve -m = -b - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1569 and -19.\nAnswer: -29811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 51. Let o be b(-47). Suppose 70 = y + 3*t, -o*y + y = t - 210. Calculate the remainder when y is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/99301 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 0*s**6 + 2\/3*s**4 - 13\/210*s**7 + 0*s**3 + 0 + 0*s + 0*s**5 + 5*s**2. Find the second derivative of z(c) wrt c.\nAnswer: -156*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -52, -170, -358, -610, -920?\n\"Answer: l**3 - 41*l**2 - 2*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 2*f + 19. Calculate the remainder when 75 is divided by p(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1954*7.\nAnswer: 13678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1427\/3, 312, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + (sqrt(1900)*2 + 4)**2 - ((sqrt(1900) - -2*sqrt(1900) - sqrt(1900))*-1)**2) + 0 + -1)*-2.\nAnswer: -340*sqrt(19) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4221580?\nAnswer: 2, 5, 11, 31, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u**2 + 14*u + 54. Let x be b(-4). Let v = 140 + x. What is the remainder when 102 is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*z = -538*z - d, -20 = 5*z + 5*d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 121705.6 to the nearest 1000.\nAnswer: 122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 104451582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87461.\nAnswer: 11, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/5 - 384*h**2\/5 - 1076*h\/5 + 744.\nAnswer: -4*(h - 2)*(h + 5)*(h + 93)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddzddddz. Give prob of sequence ddz.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x - 36. Let d(n) = -3 + 0 - 9 - n**2 + 51*n - 11 - 4. Let s be d(48). Calculate the highest common divisor of x and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (30 - (17 + 0))) + -24?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a = 7*a - 30 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*k + 1362658 = 1379142 for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132354 and 220590.\nAnswer: 661770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 277, 368, 459, 550, 641?\n\"Answer: 91*l + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, g: 4}. Give prob of sequence gg.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 9*b - 75. What is d(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-14 + -9 + (37 - 23) + (-1 - -61))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*l + 4*u, u = -3*l - 19 - 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/(-10) + 4)\/((-24)\/(-40)). Solve 4*k - 28 = -v*m, -32 = -m - 4*k - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*c**2*d**2 + c**2*l + 2*c*d**2*l - 3*c*d**2 + 47*l**3 + 2 wrt l.\nAnswer: c**2 + 2*c*d**2 + 141*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 6:08 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -a86816?\nAnswer: a86814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -3.1. Let h = 0.88 + 0.12. Suppose 0 = -2*r + 6 - 0. What is the third smallest value in h, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (4 - -11 - (29 + -17))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/31 and -3\/31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 20438129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from keekeek. What is prob of sequence kkk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 2. Let o be g(0). Let p = 134 + -138. Which is the third biggest value? (a) -3 (b) p (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by 4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 35)\/(4\/2). Let r = k - 10. Suppose -54 = -o + r*w - 2*w, -160 = -5*o + 3*w. What is the remainder when o is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1370\/20 - 2\/(-4). Let x = m - 9. Is 23 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 102.74 and -0.244.\nAnswer: 102.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/7, -1\/2, 0.3, 1715, -18, -7?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -90. Let a = -38 + k. Suppose 11*y = 9*y + a. Calculate the remainder when 12 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 20*b - 25*b + 28 = 0, -u + 4*b - 28 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a + 75. Calculate the remainder when u(6) is divided by 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (5 + -1 + -1 + 4)) + -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -38*a**3 + 37*a**3 + 3 - 19*a - 15*a + 36*a**2 - 53. Calculate f(35).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**7\/105 + n**5\/120 + n**4\/24 - 2*n**2. Let u(o) be the second derivative of g(o). Does 11 divide u(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/84 + 1\/(-4). Let r = -1.6 - -2. Which is the nearest to 2\/7? (a) w (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = i, 2*s = -5*i - 0*i - 10. Let x = 2 - i. Calculate the smallest common multiple of x and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28428 + -28409.827. What is y rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15185 (b) 0.4 (c) -0.0358\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 8*y**2 + 5*y + 16. Let h be p(7). What is the third derivative of -29*j**5 + 244*j**2 - 7*j**5 - 271*j**h wrt j?\nAnswer: -2160*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 + 8*y + 6. Let d be k(4). Suppose 0 = 4*l - d*l - 52. Let q = l - -56. What is the greatest common factor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8146815 divided by -5\nAnswer: 1629363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5314*m**3 - 5*m**2 - 5*m + 50. Let f(u) = 9902640*u**3 + 9317*u**2 + 9317*u - 93170. Give 5*f(g) + 9317*z(g).\nAnswer: 2662*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z - 3. Let k(h) = -h**3 - 3*h**2 - h - 3. Let x be k(-3). Suppose -i + z + 4 = x. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 25 = -24*a, 5*a + 10 = -3*j. Suppose -32*z - 115 = -j*w - 27*z, 31 = 2*w + z. What is the closest to 0 in 5, w, -2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 0*g**2 + 2*g**2 + 141*g**3 - 140*g**3 - 5 - 17*g. Let z be c(-5). Solve -2*r - 2*s + 8 = -z*r, -r - 2*s - 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 + 692034*i - 692034*i. Let y be -3 - 1*(0 + 87). Let j(k) = 20*k - 2. Let x(n) = -440*n + 45. Let o(t) = y*j(t) - 4*x(t). Calculate c(o(u)).\nAnswer: -3200*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 - 51. Suppose -b + 5335 = -2*v, 26662 = -m*b + 15*b + 3*v. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.58 + -23. Let l = b - -0.22. Let y = -1 - 3. What is the second smallest value in -12, y, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2 + 1047654*r = 0. What is r?\nAnswer: -349218, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*d + 536, -3*q + 62 + 482 = 2*d. Calculate the greatest common divisor of 50 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(432) - (sqrt(432) + sqrt(432) + (sqrt(432) + 2)*1) - 2*6*(sqrt(3) + 1*sqrt(3) + sqrt(3)))**2.\nAnswer: 240*sqrt(3) + 10808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 5\/4, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.32 and 15283902.\nAnswer: 4890848.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-two fifths of a week?\nAnswer: 84672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29119 and -12.1?\nAnswer: 352339.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31307838?\nAnswer: 2, 3, 1559, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/20 + 1 - (-3384)\/(-15). Let p = o - -322. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 5*c**2 + 9*c - 9. Let b = -61 - -67. Suppose -x = -0*x - b. Determine r(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -218 + 85 - -27 - -197?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n**2 + 79*n + 26. Give u(-15).\nAnswer: 641","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - t + 30 = 3*o, -t = -2*o + 22. Solve o = 3*a - 6*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -6*i + 12. Let h(k) = -4 - k + i. Let g(x) = -x**2. Determine g(h(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 92219 and 10328663\/112 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15770 and 166?\nAnswer: 15770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 3968.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(784))\/sqrt(7)*-6 + (-2 + sqrt(847) + 1 - sqrt(847)) + 0.\nAnswer: -96*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*b**3 - 10*b**3 + 255*b**3 - 5 + 16*b**2.\nAnswer: 2*b**3 + 16*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 20 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fllflflflflfhfflhll. What is prob of sequence lh?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4757748?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293 - 293 + t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.5, 0.3, -530, -27, 2 in increasing order.\nAnswer: -530, -27, -0.5, 0.3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.1 times 9179?\nAnswer: 459867.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 + 3*v. Suppose -36*h + 40*h = -2*x + 187640, 2*x = 5*h + 187667. Let q(b) = -93826 - b + x. Determine d(q(n)).\nAnswer: -2*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 4*a + 6 = 0, -2*r = 3*a - 0*a + 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 241 = -5*p - 249*r + 247*r, 35 = -p - 5*r for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 904 = -145*v - 1037, 0 = 3*b - 5*v - 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*r - 52, 2*g + 5*r = -3*g + 40. Suppose -2*x - 6 = -16. Suppose -3*h - 16 = 4*z - 63, -x*z = h - g. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, s: 7}. Give prob of picking 1 s and 1 t.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + -3 - (sqrt(108) + -2).\nAnswer: -3*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) -0.5 (c) -3\/5 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37297, 37298, 37299, 37300?\nAnswer: 37301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 29 - 22)*(2 + q - 2)*(-2 - q**3 + 2) - q**4 - 2*q**4 + 5*q**4.\nAnswer: 19*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -3\/5 (c) 2\/19 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Let c be ((-2)\/(-3))\/(1\/24). Let y = c + a. What is the greatest common factor of y and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.085 + 0.115. Which is the third smallest value? (a) 2 (b) -4 (c) s (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17488 or 17493?\nAnswer: 17488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 24b619?\nAnswer: -24b61c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -823 + 766.1. Let n = b - -57. Suppose 3*d = 6*d - 3. What is the closest to 0 in d, 10, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1963423.405463 + 14.\nAnswer: -1963409.405463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 10, -b = -u + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744534?\nAnswer: 2, 3, 7, 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -3 (b) -0.5 (c) 7 (d) -0.11 (e) -0.1 (f) 0.5 (g) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = -22*l - l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/17 + -3\/85. Let v = -158 - -154. Let o be (-62)\/210 + 9\/21. Which is the second biggest value? (a) o (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghzhzzgzzzz. Give prob of picking 1 z, 1 h, and 1 g.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 32140774 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 593074211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 12. Let v(i) = i**3 + 4*i**2 - 6*i - 2. Let f be v(-5). Solve 18 = 4*b - 0*u + u, 0 = -f*b + 3*u + n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -8, -0.3, -2\/13?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/17, 8, -3, -2, 4 in increasing order.\nAnswer: -3, -2, 1\/17, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101189 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 558 and 3870?\nAnswer: 119970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**4 + m**4 + 4*m**4 - 2*m**4 - 3*m**4 + 3*m**4 + (2 - 5 + 1)*(-4*m**4 + 4*m**4 + m**4))*(163*m + 577*m - 156*m).\nAnswer: -584*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35197, -70899, -106601, -142303, -178005, -213707?\n\"Answer: -35702*t + 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4935462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -35*y**2 - 1480*y - 683. Determine r(-42).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 33. Which is bigger: -5 or k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 777679 - 6016*y - 777678 - 167*y to w + c*y and give c.\nAnswer: -6183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 5. Suppose 0 = 3*x - 28*x + 150. Let h be (x - 105\/18)\/(8\/18). Which is the second smallest value? (a) h (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2952131677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 10 - (-6 + 6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 37 = 11*l. Suppose -l*o - 77 = -37. Sort 2, 15, -3, o in decreasing order.\nAnswer: 15, 2, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/39 (b) -0.4 (c) -0.008\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129.8237028 - -118.8237. Let s = 11 + u. What is s rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**3*x**3 - 20*v**3*x**2 + v**3 + 2738*v**2*x + 10*v*x**3 + 718*x**3 wrt x.\nAnswer: -12*v**3 + 60*v + 4308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 105, -7, -35, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*i - 6*i - 5*i + (-3 - 3 + 3)*(3*i + 3*i + 2*i))*(2*i**3 - 2 + 2) to the form n*i**3 + g*i + z*i**2 + t*i**4 + f and give t.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*w - 2. What are the prime factors of 12 + w + (2 - 3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1*sqrt(84) - sqrt(84))*-2)\/sqrt(3)*-4.\nAnswer: -32*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - 10 - 50 - (-5 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -69 in -2, 173, -1, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 1 + 5 = 0. Suppose 0 = -2*n - 1 + 7. Suppose o**4 + o**3 + 1 + 4*o + g*o**n + 5*o**2 + o**2 = 0. Calculate o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 3*q**3 + q + 3*q**2 - 3*q**2 - 10 to g*q**3 + z*q**2 + v*q + r and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 - (-2 + 1 + -1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-27)\/(n*n**(-4\/23)) assuming n is positive.\nAnswer: n**(-640\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 79393289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3 + 278*f**2 - 1740*f = 0 for f.\nAnswer: -145, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 49 + -6538?\nAnswer: -6489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143208?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o - 3. Let b(n) = -n**2 + 12*n - 12. Let f be b(12). Let z be (0 + f\/4)\/1. Let a be w(z). Which is bigger: a or 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3*k. Suppose 2*l - 40 = -k*l + q, 0 = l + 5*q + 2. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70.58 - -70.98. Which is the closest to 2? (a) 2\/3 (b) j (c) 3\/2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172527709 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 91 + -8?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 260.03204 to one decimal place.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/(-20))\/((-1)\/(-6))*(-26)\/(-39)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b + 6*b - 13*b)*(2*b + 3*b - 6*b)*(399 - 10*b - 399).\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 97 - 297. Suppose -s*b + 90 = -53*b. Let k be -2*249\/b - 4\/(-10). Solve k = -3*a + 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31102+22619.81\nAnswer: -8482.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132747218*b**2\/9 + 1140580*b\/3 + 2450 = 0. What is b?\nAnswer: -105\/8147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 1680152?\nAnswer: 8400760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(140) - (sqrt(140) - -3*-3*sqrt(140)) - sqrt(140)) + sqrt(140))\/(sqrt(20)*-1))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**8\/1680 + c**5\/40 - 13*c**4\/24 - 10*c**2. Let x(d) be the second derivative of y(d). What is the derivative of x(j) wrt j?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -368*q. Let l(c) = 94979*c - 6. What is j(l(v))?\nAnswer: -34952272*v + 2208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021 (base 4) to base 3.\nAnswer: -2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of (15\/(-180)*-3885)\/(((-15)\/96)\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/5)\/(16\/(-10)). Let r = 0.276 + -0.076. Put r, -1, 0, p in increasing order.\nAnswer: -1, p, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 582 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -2*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**3 + 116372*l**2 + 846228064*l - 2539731648 = 0.\nAnswer: -14548, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 3559*q**6\/60 + 2421*q**3\/2 + 707*q**2 + 2*q - 1. What is the first derivative of c(g) wrt g?\nAnswer: 21354*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -609 + 1847\/3. Let u(t) = -196*t + 35. Let l be u(20). Calculate the common denominator of l\/392 - -2*(-2)\/(-14) and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 0*u - 3*u, -4*x - 6*u = -8*u + 3*u - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f + 48. Let k be w(11). Let m be (-1)\/(-3) - (k + 184\/(-24)). What is the smallest value in 0.3, 0.016, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 y when three letters picked without replacement from {y: 13, i: 3}.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 109*n**2 - 802*n + 65. Calculate l(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/11 - 55750*n\/11 - 111508\/11.\nAnswer: 2*(n - 27877)*(n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 56 + -12 - (1 - (-2 - 0)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*f - 40, -2*f - 10 = b - f. Let h be 1*1*-3*(b + -7). Suppose 4*p = -k + 43, 3*k = 2*p + p - h. What is the lowest common multiple of p and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173907124 divided by -316?\nAnswer: -550339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.04 - 0.04. Let l = -1 + x. Let r = -140\/3 + 47. What is the nearest to r in l, -1\/2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15941 + -15941.77. Let f = -2.1 + 2. Which is the smallest value? (a) 4 (b) p (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by 1\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5621 + -453?\nAnswer: 5168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 798 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**3 - 363*d**2 - 10967*d + 435. Give i(-62).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -38*4.313\nAnswer: -163.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**3 - 7*r - 2. Let b(f) = 1 + 1358*f**2 - 2*f**3 + 4*f - 1358*f**2. Calculate -7*b(p) - 4*o(p).\nAnswer: 2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((-2)\/18*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-1 + 4)*3. Let g = -45 - -103. Suppose -g = -5*p - j. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*z**4\/7 + 20980*z**3\/7 + 34992*z**2\/7 + 2000*z = 0. What is z?\nAnswer: -1, -2\/3, 0, 1750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 436\/47 or -2.1073?\nAnswer: 436\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.635 times 0.3\nAnswer: -0.1905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 43*g - 42*g, -g + 2 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 + 54*b - 1. Let f be v(-24). Let q = f - -153. Solve 0 = q*l - 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*o - n, -5*o + 0*n = 2*n - 7. Suppose f - o = -4*q, 0*q - q - 5 = -5*f. Solve 3*c - 10 = -f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*f - 14, 2*f - 4*g = 3*f. Let w = 9 - f. Calculate the remainder when 12 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (0 + -2)) + (27 - 24). Suppose 3*f = 3*z - 12, f = -v*f - 15. Let h(o) = -5*o - 8. Let q(s) = -s. Calculate z*h(n) - 4*q(n).\nAnswer: -n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 450 + -440 + -31 + -5\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 o when three letters picked without replacement from hohoohhhhhhoooohoo?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.6 + 6. Let y(x) = -x**3 - 8*x + 25. Suppose 6 = 42*l - 39*l. Let d be y(l). What is the smallest value in n, d, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9*k**2 + 2*k - 16. Let b(z) = z - 7. Give -2*b(w) + n(w).\nAnswer: 9*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -24*f**3 - 14*f**2 + 24*f + 24. Let q(y) be the second derivative of y**5\/4 + y**4\/4 - 5*y**3\/6 - 5*y**2\/2 + 4*y + 26. Give -3*p(d) - 14*q(d).\nAnswer: 2*d**3 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 16 + 2. Suppose -373 = -f*j + 5*b + 539, 5*b = -4*j + 1854. List the prime factors of j.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2093 - 2184 - (0 - 6)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1978, -4 in decreasing order.\nAnswer: 1978, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 328 - 171. Suppose 3*c + 43 = q. Let y = -24 + 34. Calculate the remainder when c is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13375 - -13315.128. Let n = 0.128 - k. Let x = -59.9942 + n. Round x to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-256)\/(-2176) + (-134)\/(-17) + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9223 - 9222.5. Let q = -0.4 + 0.2. Sort 16, q, f in ascending order.\nAnswer: q, f, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -18\/695 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 - 2 - (375 + 21)\/22\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 0*n. Suppose n = -3*q - 3 - 0. Let r be (2\/(-6))\/(q\/3). What is the highest common factor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + -4 + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 2*r - 2*r)*(r**2 - r**2 - 3*r**3) + (-2*r**3 + 2*r**2 - 2*r**2)*(3010 - 6*r - 3010).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -5*x - 2. Suppose 5*g - 33 = x. Suppose 0 = 2*v - 5*o - g - 9, 12 = -5*v - 3*o. Sort 3\/5, v, -0.3 in decreasing order.\nAnswer: 3\/5, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -999962 (base 14) in base 16?\nAnswer: -4f8a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/10)\/(8\/40). Suppose -d + 29 = -h. Let o = d + -36. Sort o, 9, -4.\nAnswer: -4, o, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1034442 (base 7) to base 14.\nAnswer: 34122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 10*i - 15. What is l(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -561492 divided by -230\nAnswer: 280746\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -461348*f**2 - f. Let s(k) = -3*k**2. What is c(s(w))?\nAnswer: -4152132*w**4 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/6)\/d**(-6)*d\/((d*d**(5\/2))\/d)*d**(-7))**(-25) assuming d is positive.\nAnswer: d**(175\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29731214 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 17*d - 97. Let a(z) = -24*z + 92. Give 6*a(r) + 5*g(r).\nAnswer: -59*r + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Let m = -0.16 - -0.12. Let l = m + -1.96. Sort -5, l, c in descending order.\nAnswer: c, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.595339ug in tonnes?\nAnswer: 0.000000000006595339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1105*b**4*v**3 - 23*b**4 + 5*b**2*v**3 + b**2*v - 6*b*v**3 - 577*b wrt b.\nAnswer: -26520*b*v**3 - 552*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7952 = 129*n - 170*n - 1843. What is the remainder when 439 is divided by n?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -42*s**2 - 6*s + s + 5*s. Let u(b) = -101834*b - 2*b**2 + 101834*b. Give i(u(j)).\nAnswer: -168*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.43 - -44.57. Let l = 1.5294 - -43.5466. Let s = l - g. Round s to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54192018?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14563 times 0.2\nAnswer: 2912.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - 2*m - 4*m**3 + 0*m**2 + 3*m**3 + (-m**3 - 2*m**3 + m**3)*(1 + 0 - 2) + 3*m**3 + m**3 - 3*m**3.\nAnswer: 2*m**3 + m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 37\/5 of a hour?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*y + 5*u, -4*u + 1 = -5*y + 9. Suppose -z = -4*b + 20, y = 5*b - 4*b + 5*z - 5. Solve 0 = -2*j - 3*h + 19, -b*h = -0*j + 2*j - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/4)\/(u*u**(2\/33)*u)*(u**(2\/3)\/u)**11 assuming u is positive.\nAnswer: u**(-263\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - -4 - 8\/4. Suppose -a*c + 3 = -3*c. Solve -2 = -0*l - 2*l + c*j, -2*j - 6 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*(sqrt(3) + sqrt(6)\/sqrt(2)).\nAnswer: 3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20958, 20684, 20236, 19620, 18842, 17908, 16824?\n\"Answer: m**3 - 93*m**2 - 2*m + 21052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20\/21 + -2\/3. What is the nearest to 0.06 in k, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*w + 200 = -t, 4*t + 3*w + 165 = 0. Let k be (-50)\/(-18) - 10\/t. Suppose -43 = k*f - 151. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.8 - -0.8. Let t be (-1)\/(-6) + 1\/(-3). Let x = -103 - -104. Which is the nearest to 2\/5? (a) m (b) t (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26 and 17?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + -5)\/(1*-3). Let y = -2 - -5. Suppose -y*x + 6*x - 42 = m. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, -2, -3.69, 117?\nAnswer: -3.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37110, 36470, 35830, 35190, 34550, 33910?\nAnswer: 33270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102 + (30 - (79 + (-40 - -38))).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -200, -469, -716, -929, -1096, -1205, -1244, -1201?\n\"Answer: 2*l**3 - l**2 - 280*l + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = q - 2*q. Solve -2*l = -m - 5 + 2, l = 2*m - q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -6219.\nAnswer: -3109.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4*-106.43271\nAnswer: -425.73084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5655, 5662, 5673, 5688, 5707?\n\"Answer: 2*x**2 + x + 5652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 820 - 819.5. Let t = -144 + 145. What is the third biggest value in r, t, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 96\/80 + 0 + -1. What is the smallest value in 3, -2\/11, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*p + n, 30 = 5*p + 4*n + n. Suppose 0 = 2*z - p*z + 4*u - 1, -3*u = -4*z + 9. Sort 2, z, -4 in decreasing order.\nAnswer: z, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4336*f + 11 = 4339*f + w, -3*w - 37 = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9824 - 19647\/2. Factor 4 + u*n**3 + 6*n + 3*n**2.\nAnswer: (n + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -63 + -63?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**3\/6 + 115*z**2\/3 + 941*z\/6 - 195 = 0.\nAnswer: -5, 1, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 14*n - 14*n + 108*n. Let q(f) be the second derivative of 0 + 0*f**2 + 0*f**3 + 177*f + 1\/6*f**4. Calculate h(q(d)).\nAnswer: 216*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-146 - -155) + 1 + -2 + (0 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7 + 308*q - 21 - 364*q. List the prime factors of p(-3).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c - 5. Let o(u) = -2. Let g(m) = -3. Let s(j) = -5*g(j) + 7*o(j). Let n(x) = -r(x) - 6*s(x). Give n(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -264, -530, -818, -1140, -1508, -1934?\n\"Answer: -2*u**3 + u**2 - 255*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 34*q + 1834. Give u(-54).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 - p - 1 - 2*p**2 - 1. Let o(h) = h**2 - h. Let m = 1 + 1. Suppose 0 = g + m - 1. What is g*b(q) + 2*o(q)?\nAnswer: q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 192.09 + -191. Let g = l - 0.19. What is g rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - (-1 + (3 - 1)). Let d be 1\/r - ((-5635)\/(-30) + -2). Let n = 349 + d. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -20*o**2. Suppose 4*z - 53 = -3*n, z = 6*z - 4*n - 43. Suppose 4*m - 5 = z. Let v(j) = -1 + m*j - 3*j + 1. Calculate l(v(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -457162*g**3 + 2*g**2 - 25847?\nAnswer: -2742972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -4, 2\/5, -5 in increasing order.\nAnswer: -5, -4, 2\/5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(84) + -1*sqrt(84)*-2 + (sqrt(84) - (-3*sqrt(84)*-1 + sqrt(84) + sqrt(84)))))\/(4*(6*2*sqrt(84))\/sqrt(7)).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5947*s + 3890*s = -3603*s - 382494 - 20706 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-12)*0 + -40. Let x = 226 - y. What are the prime factors of x?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 455565524 divided by -4\nAnswer: -113891381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3128 - -5789. What are the prime factors of z?\nAnswer: 37, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 223, 1751, 5903, 13993, 27335, 47243, 75031, 112013?\n\"Answer: 219*m**3 - 2*m**2 + m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from zcckkcfzcczokk.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2) + 1\/72*12. Which is the nearest to -1? (a) -2 (b) -21\/10 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 6) + -6 + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26350937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(3) - (sqrt(144)\/sqrt(3))**2).\nAnswer: -6*sqrt(3) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j. Let a(g) = 18375*g - 8640*g - 9104*g. What is x(a(n))?\nAnswer: 1262*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-6))\/((-57)\/9405*5)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/((9 + 3)\/(-4)). Suppose 4*s - 3 + 19 = 0, 16 = k*f - s. List the prime factors of 124*(15\/(-4) + f).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 1. Let w(y) = -426*y - 11. Let j(u) = 4*i(u) + w(u). Is j(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002232071 to seven decimal places.\nAnswer: 0.0002232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1365*a - 2273*a + 109140 = 0 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/5*w**3 + 9\/5 + 24*w - 83\/5*w**2.\nAnswer: (w - 3)**2*(14*w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146537733 to the power of 1\/2, to the nearest integer?\nAnswer: 12105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**2 - 2*z + 2*z)*(-1 - 13 + 6) to u*z + s + t*z**2 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, t: 1, w: 1, b: 1, e: 1}. What is prob of picking 1 e, 1 w, and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -310300 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 103141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*z - 15*z. Calculate the remainder when 1060 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 194.\nAnswer: -2, 5, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2. Let c(u) = -7*u**2 + 5*u - 5. Let v(f) = -7*f**2 + 6*f - 6. Let z(x) = -6*c(x) + 5*v(x). What is j(z(h))?\nAnswer: 98*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 0 (b) 0.1 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2490344870 rounded to the nearest 100000?\nAnswer: 2490300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2704 + 0.0396. Let x = g - 3.31. Which is the closest to 0.3? (a) 3 (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440038289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1758151418003 minus 5?\nAnswer: -1758151418008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -1) + 1 - (133 - -7). Let q = r - -436\/3. Let d = 123\/88 - 6027\/440. Calculate the common denominator of q and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -8*m - 4. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -114*g**2 - 2*g + 2. Let x(q) = -1824*q**2 - 33*q + 33. Let m(a) = -33*s(a) + 2*x(a). Let v(n) = -2*n. Determine m(v(c)).\nAnswer: 456*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3238.471655 to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 5*y - 2*v - 33, y + 4*v - 21 = 0. Suppose 3*o - 12 = k, y = o + 3*o - 3*k. Let d = -1 - -3. Which is the third smallest value? (a) o (b) 5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**11\/k))\/(k\/k**(-16))*(k\/k**(-3))**(-1\/14) assuming k is positive.\nAnswer: k**(-191\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0366356891 - 7.\nAnswer: -7.0366356891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(2 - -78)*(128\/1216 - 11\/(-76))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (18\/(-36) + -1)*-10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, t: 3, o: 1, i: 3, s: 3}. What is prob of picking 1 t and 1 s?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16158335, 32316645, 48474955, 64633265, 80791575, 96949885?\nAnswer: 113108195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-4\/29)*(t**(7\/3)\/t)\/t)\/(t\/(t*t*t\/(t\/(t*t**(1\/58)\/t))*t)*t**0\/t))**(4\/7) assuming t is positive.\nAnswer: t**(1562\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 40 = -6*q. Suppose 5*a = 3*v + 3*a - 17, -27 = -3*v - 3*a. Solve -q = -11*j + v*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -163\/212 - -1\/53. Let a be 0 + (6\/15)\/2. Let b = 2\/75 - 239\/525. What is the nearest to 1\/2 in b, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -12*b**2 - 522*b - 234. Suppose 0 = -4*j + 16, -2*j - 24 = y + 60. Let k = -52 - y. What is the smallest common multiple of k and s(-43)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 - 20 = -24*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 times -1130?\nAnswer: 248.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1659, 2\/245, -4, 4, 3 in decreasing order.\nAnswer: 4, 3, 2\/245, -0.2, -4, -1659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1425.44 rounded to the nearest 10?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 237\/2 - 435\/4. Find the common denominator of a and 3\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**2*r**3 - 9*g**2*r**2 + 473*g*r + 11474*r**3 + 3*r**2 wrt r.\nAnswer: 6*g**2 + 68844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 23. Suppose 0 = 3*j - 5*j. Let w be g(j). Solve 2*r + 4*t = -22, -3*r - w = 5*t - t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1083 - 302 = 11*k. Let f = 94 + k. Calculate the highest common divisor of f and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 16*y + 2. Let v be p(3). Let c be (-35)\/(-1) + 2 + -1. Let i = c + v. What are the prime factors of i?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 18*l**2 + 20*l + 61. Let p be d(-17). Let k = -402 + 2053\/5. Which is smaller: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 468 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -655500 + -3.9.\nAnswer: -655503.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b. Suppose o - 5*x + 6 = 0, -8 + 24 = 2*o + 4*x. Let n(h) = -8 + 12 + 2*h - o. Determine n(j(q)).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7542, 59915, 201984, 478599, 934610?\n\"Answer: 7475*g**3 - 2*g**2 + 54*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3*x - 5*x = 7, 2*o = -x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -318942, -637881, -956820?\nAnswer: -1275759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -2 - 17) + (-3 + 0 - 2) + 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 - 46. Suppose 18*g - 36 = k*g. Find the second derivative of 0*o + 23*o**g - 10*o + 19*o wrt o.\nAnswer: 276*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9808 > 9809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270\/75 + (0 - (-4)\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -152 and 433567.\nAnswer: -65902184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**3 - 10256655*f**2 - 2*f - 314463048?\nAnswer: 6*f**2 - 20513310*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 27692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7460137, 7460078, 7460019, 7459960?\n\"Answer: -59*c + 7460196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q**2 - 461*q + 232*q + 229*q.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3734, -4149, -5266, -7433, -10998?\nAnswer: -16309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 139675891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2. Let v(h) = -h - 1. Let d(o) be the third derivative of -o**4\/2 - 7*o**3\/3 + 6*o**2. Let w(u) = -2*d(u) + 28*v(u). What is w(k(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 - -198342 - (-12)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l**5 - 40038*l**4 - 14948*l**3 + 160152*l**2 + 60048*l = 0. What is l?\nAnswer: -2502, -2, -3\/8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07822 in -1\/20, -9, 3\/4, -3\/4?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*i + 3714 = 16*i - 372 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 5776 = 10784. Let x = v + -569. Calculate the highest common divisor of 74 and x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/8 + -10 - -39*3\/9.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 572925011?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.1607 rounded to one dp?\nAnswer: -105.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2040 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 395 and 6478?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-196)\/(-270) - 464\/580\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -89670, -89672, -89674, -89676?\n\"Answer: -2*p - 89668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -70*l - 2. Let x be n(0). Let b(y) = -y**3 + 2*y**2 - 1. Let t be b(1). Is x less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144819*c**3 - 17*c - 4049.\nAnswer: -868914*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6996477.\nAnswer: 3, 53, 79, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 558\/445537 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1628\/(-777))\/(((-240)\/36)\/10)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 28*t. Let x(m) = -11*m**2. Give y(x(f)).\nAnswer: -121*f**4 - 308*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 8051 = -7*l - 8294 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212901.\nAnswer: 3, 13, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -519, -4153, -14025, -33255, -64963, -112269, -178293?\nAnswer: -266155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20\/11 - 9503\/55. Let p = 175 + l. Put p, -2, 0.5, -8 in decreasing order.\nAnswer: 0.5, p, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25927991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 153549 a multiple of 517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 741 = 141*o + 70*o - 1791 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -171*p**3 + 57*p**2 + 57*p + 57. Let l(f) = f**2 + f + 1. Determine 57*l(v) - o(v).\nAnswer: 171*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/9 + 1\/3. Suppose -c = -5, -2*q = -0*q - c + 1. Suppose -h*j + q*j = 0. Solve 5 = -5*m - 4*u - j, 4 = -4*m + 2*u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 43769046 to the power of 1\/3, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.1 + 5. Let c = 0.1 + z. Suppose n = -3 - 2. What is the closest to 1 in -3, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6590 - -6600 - (1 + (0 - 1) - (-4 + 43))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h*o*z**3 - 765385*h*o*z + 5*h*z**3 - 7528681*o*z**3 - 26*z**2 wrt z.\nAnswer: 6*h*o + 30*h - 45172086*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -75, -94, -133, -198, -295, -430, -609?\nAnswer: -838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5*n + 55 = 0, 54*k - 55*k - 2*n = -7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13231 + 21?\nAnswer: 13302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (513 - 83*j**2 - 513)*(6 - 4 + 2)*(-j**2 + 0*j**2 + 0*j**2) + 3*j**4 - 4*j**4 - j**4 to u*j**3 + w*j**2 + a*j**4 + s*j + v and give a.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2207547.\nAnswer: 3, 81761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -29, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 5*y + 5 = 0. Let t(r) = 11*r**3 - 2*r**2 - r - 2. Let l be t(-2). List the prime factors of (y\/(-3))\/((-4)\/l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a factor of 548514381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1444*u**3 + 262 - 52 + u - 58 - 153 as c + t*u**2 + d*u**3 + r*u and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*p - 374, -3*q + 5*p = -89 - 138. Let l be (-18)\/(-9) + (-150)\/q. Is l bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*-6*5)\/(sqrt(6) + (sqrt(30)*1)\/sqrt(5)) + -2.\nAnswer: -15*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 4*t + 2. Let i(n) = 4*n**2 - 17*n - 9. Suppose -3*q = -2*y - 5, 0*y - 3*q = 5*y - 19. Suppose -y*j - 9 = -3*j. Determine j*o(s) + 2*i(s).\nAnswer: -s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/9 in 99, 5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000914 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + g - 27*g = 325 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 13 = 5. Suppose 0 = -4*y + 20, 2*h + r = 3*h + y. Does 5 divide 4 - 4 - -5*h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 26 + 54. Let t = c - 28. What is the remainder when 22 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12150345 (base 6) in base 14?\nAnswer: -a13a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132020 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84652 is divided by 43?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 280291\/8 at most as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*l + 45*l + 78*l)*(-4*l**2 + l**2 - 4*l**2 + (-l + l + l)*(4*l - 3*l - 3*l)) to the form w*l**2 + i*l + s + u*l**3 and give u.\nAnswer: -1233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 438.7mg to nanograms.\nAnswer: 438700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8975 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -520, -11, -47, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/180 and -23\/19288?\nAnswer: 867960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + (-1 - -2) - 2. Suppose j = 2*j + d. What are the prime factors of (11 + j)*(-24)\/(-14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 102086*o**2 - 50892 wrt o?\nAnswer: 204172*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -1)*(-10)\/(6 - 1). Solve -o + v*o - l = -4, 5*l - 30 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380605 is divided by 2393.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 0 - (-17 - (-2 - (10 - -6)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(65)\/sqrt(5) + -1))**2 + -4.\nAnswer: -72*sqrt(13) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 163 or 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.01, -0.4, -6, 4, -2369, 0.5, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -64, -74, -68, -40, 16, 106, 236?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5608993 * -35\nAnswer: -196314755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 11*g + 4. Suppose m + 15 = v + 4*m, 0 = 5*v - 2*m - 41. Suppose -26 = -7*k + v*k. What are the prime factors of u(k)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 u when three letters picked without replacement from {f: 1, u: 1, o: 1, w: 1, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58385.03 - -57819. What is t rounded to the nearest 10?\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 502 divided by -251.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, p: 4, e: 2, x: 1}. Give prob of picking 1 p, 1 e, and 2 u.\nAnswer: 72\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, w: 7}. What is prob of sequence dw?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1108282*l**3 + 2212748*l wrt l?\nAnswer: 6649692*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/20? (a) -0.02 (b) 2 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + (-111)\/16 - 7188310\/(-160) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*k - 5107 = 23071, -70410 = -5*i + 3*k. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-630)\/(-897)) - (-1310)\/131?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w = -4*y + 2, y = 2*w - 7. Suppose h + 5*l = 21, 0 = y*l - 9. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1003?\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2. Let s(d) be the first derivative of -180*d**3 + d + 1379. What is s(w(o))?\nAnswer: -2160*o**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**2 - 2*j - 4. Let v(y) = -y**2 - y - 1. Suppose 48*a = c + 53*a + 24, -2*c - a - 3 = 0. Let m(d) = c*q(d) - 6*v(d). Give m(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41 from -32461.\nAnswer: -32420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 24*o**2 - 72*o - 83. What is g(27)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -121, -495, -1119, -1993, -3117?\n\"Answer: -125*v**2 + v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1560*z**5 + z**4 + 305*z**3 + 24*z - 10467 wrt z.\nAnswer: -31200*z**3 + 12*z**2 + 1830*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 20*n + 112 = 0, -660*n + 657*n = 2*v - 23 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-289 + 38*m + 289)*(m + m - 6*m)*(-4*m + 3*m + 0*m).\nAnswer: 152*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/8*30\/(-18). Let t = 66 - 63. Put t, -0.2, h in descending order.\nAnswer: t, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times 0.27\nAnswer: 0.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 + 10*x**3 - 52)*(-179 + 72 + 206) + 4*x**3 + 0*x**3 - 5*x**3.\nAnswer: 989*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*y + 37 = 2*y, 5*l = -2*y + 30. Suppose -l = -4*p, 3*d - 4*p - 286 = p. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 11:59 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -549.3 + 573. Let h = l + -23.647. What is the nearest to 0 in 5, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 4*f**2 - 13*f + 6. Let z be r(6). Let h(x) = -3*x - 354. Let a be h(z). Let y = -239 - a. Is 23 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11695 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 -0.01, 1\/4, 7, -3\/7, 14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 9*r**2 - 2*r - 7. Let o be x(-9). Suppose o = -4*i + 55. Solve j = 5, -3 = m - 3*j + i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 - -58.7. Let h = 27.9 - 29. Let f = a + h. What is the nearest to -0.1 in f, -3\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 133*i**3 + 7*i**2 - i - 7. Let y(h) = 266*h**3 + 13*h**2 - 2*h - 13. Let s(t) = 11*b(t) - 6*y(t). Does 12 divide s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t - 3 + 8*t + 4*t - 2*t. Let s be n(-9). Let u = s - -331\/5. Which is the second smallest value? (a) 3 (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/1)\/(-3 + 4). Suppose -2*v - t = 0, 5*v + 6 - 51 = -c. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -19*q - 665. Let u be f(-41). Which is bigger: u or 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 4) + 2 + (-7 - -19).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2314 (base 5) in base 10?\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 3, -4*p + p + p + 3*y - 62 + 39 + 26 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.12 + 0.18. Let p = 1 - i. Let h = -13 + 10. Which is the smallest value? (a) p (b) h (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 7*y**3\/3 + 60. Let u(p) = -2*p. Determine u(d(j)).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 40 = 7*l. What is the common denominator of 57\/10 and ((-70)\/100)\/(l\/30)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**3 + 3*n**2 - 3*n + 3. Let b(f) be the second derivative of -3*f**5\/20 - f**4\/6 + f**3\/3 - f**2 - 4*f. Give 3*b(q) + 2*k(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 e, and 1 q when three letters picked without replacement from {e: 1, q: 2, j: 1, c: 5}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 362452*y**2 - 16421431538*y.\nAnswer: -2*y*(y + 90613)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.616 (b) 0.16 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 11*d**2 + 19. Does 6 divide o(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*q + 96*q - 159*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 u when four letters picked without replacement from {u: 9, r: 1, v: 10}?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 + 4944*g**3 + 1604752*g**2 + 47620608*g + 371101696.\nAnswer: 4*(g + 16)**2*(g + 602)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*h - 7, 0 = -4*x - 16 - 0. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -260 or -256?\nAnswer: -256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20660.33 + -220?\nAnswer: -20880.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9*l - 5. Let j = 25 - 14. Let u(y) = 5*y + 3. Let x(p) = j*u(p) + 6*f(p). Suppose 0 = 2*o - 2*m - m + 12, 2*o = -m - 4. What is x(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5366 + 7690. List the prime factors of l.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p*p*p**(3\/11)*p))\/p*p)\/(p**(-34\/3)*p))\/(p**22\/p**(13\/6)) assuming p is positive.\nAnswer: p**(-281\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 9*b**2 - b - 7. Let h be x(8). Suppose -18 = -g + h. Let r = -33 + g. What is the remainder when r is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12137, 24272, 36407, 48542?\n\"Answer: 12135*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 118\nAnswer: 3\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8168270*f**3 + 16336575*f**3 - 8168294*f**3.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10587 or 6247?\nAnswer: -10587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9805*x + 19 - 61 + 9807*x + 2*x**2 to the form t*x**2 + p + g*x and give p.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 8 = -4*t, 5*h = 2*t - 6 + 16. Let i be (12\/7 + -2)\/(t\/(-35)). Suppose i*o = 3*o - 4*g - 735, -1430 = -2*o - 2*g. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120431?\nAnswer: 120431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1278147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 4*c - 2*s + 22, 2*s + 8 = 0. Let l be ((-42)\/c - -4)*2*7. Solve 0 = y - l*y - 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 43062.047 days?\nAnswer: 6151.721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(396) - sqrt(396)) + -3 + -2 + -3)**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3*sqrt(136)*2*5)\/(-1*2*sqrt(128) - sqrt(128)))**2.\nAnswer: 425\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h - 25. What are the prime factors of y(11)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - 4 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(76)).\nAnswer: 3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44830187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*(-66)\/440)\/(12\/(-80)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 20565 = 5*z, -4*z + 5*z + 4*h - 4131 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from {q: 4, a: 1, c: 1, i: 1, x: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1816*d - 2551*d - 4895*d - 5933*d.\nAnswer: -11563*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 - -46636?\nAnswer: 46615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/11 (b) -20 (c) 5 (d) 792 (e) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 2*q + r = 17, 3*q - 2*r - 18 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155388221?\nAnswer: 113, 1375117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1808*j + 1813*j = 7295. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151041 divided by -3.\nAnswer: 50347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1 + 1 - k + k**2 + 0*k. Let h be z(0). Suppose h*v = -v + 48. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 1035198216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 1:29 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8749*k*o**3 + 2*k*o**2 + 40*k*o - 65*k - 2*o**3 - o wrt o.\nAnswer: -52494*k*o + 4*k - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 441136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -202.5 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/435536 and -145\/3006.\nAnswer: 3919824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*b + 7 + 0 - 5.\nAnswer: -192*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {l: 7, r: 5, g: 1}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101010000 + -11?\nAnswer: 10101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9974 (b) 0 (c) 5 (d) 0.6 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 11*r**3 - 4*r**2 + 1. Let z(s) = 6*s**3 - 2*s**2 + 1. Determine 3*m(k) - 5*z(k).\nAnswer: 3*k**3 - 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 5*t + 72. Let l(a) = a**2 - a - 1. Determine l(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/16065 and -43\/3675?\nAnswer: 562275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -146778 by -1439.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 77, 76, 75, 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, u: 2, x: 2, a: 2}. What is prob of picking 2 u and 2 a?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2331\/(-259))\/((-18)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 29*u + 9. Let h be w(5). Let z = h + -617\/4. Which is the nearest to z? (a) 1 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 20 = 4*p, -4*p + o - 4 = -0*p. Suppose -17*g + 13*g + 80 = p. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*k**3 - 223*k + 114*k - 3*k**2 - 3*k**2 + 108*k + 4*k**2 to v*k**2 + a*k**3 + t*k + i and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(88) - ((sqrt(88) + (sqrt(88)*1 - sqrt(88)))*1 - sqrt(88)))\/(sqrt(648)*-2 - sqrt(648)) - (2*sqrt(1188) - sqrt(1188) - sqrt(33))\/(2*sqrt(147)).\nAnswer: -149*sqrt(11)\/378 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2481010, -2481013, -2481016, -2481019, -2481022?\nAnswer: -2481025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 - 15*w + 148. Let c(l) = -l**2 + 3*l - 37. Calculate -9*c(d) - 2*y(d).\nAnswer: -d**2 + 3*d + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4179, -8493, -12819, -17157, -21507, -25869?\n\"Answer: -6*p**2 - 4296*p + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-15)*3)\/((-1)\/(-3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 + -5. Suppose -2*b - 2*b + h = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w + 18. Give j(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12117200 rounded to the nearest 100000?\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from {e: 1, w: 2, z: 9, k: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -12*h + 0 - 11 + 8*h + 0. Let k be l(-3). Is (4 + -6)*(k + (-1446)\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -199ab1 - 42a?\nAnswer: -19a31b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (84\/18)\/((-2)\/(-21)). Let a = n - 16. Suppose -19 = -4*b + a. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 - 332 - 7*f**3 + 430 - 3*f**2 + 5*f**3 to i*f + u*f**2 + q*f**3 + b and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-26)\/v*v)\/(v\/((v**(-18)*v)\/v*v)*v)*(v*v**(2\/9)*v)\/v*v**(2\/17)*v)**27 assuming v is positive.\nAnswer: v**(-19122\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -13.6. Let s = i + 3.4. Let b = 0.01 - -0.09. What is the closest to s in b, 2, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.3, -3, 2\/17, -5.305, -3\/4, -0.4?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 1. Suppose m - 5*u = -18, j*m - 2*u = -u + 2. Is 2*61 - m\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-2))\/(1161\/(-1161))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -870 - -870. Let r(s) be the third derivative of 0 - 1\/24*s**4 - 12*s**2 + k*s**3 + 0*s. Let v(j) = -j**2. What is v(r(g))?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + o = 1360, 2*r + 3*o + 114 - 1474 = 0. Let d = 2383 - r. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - s - 1. Let r be x(3). Suppose i - 42 = -r*u - 17, 5*i = 3*u - 43. Suppose u = -3*j + 6*j. Solve 8 = -j*m + 3*m + f, -3*f + 20 = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*s + 65*s = 54 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 12:06 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -5286740 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 223021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(119)*-2 + sqrt(119))\/(-1*-3*sqrt(7)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by 2.\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42667 is divided by 41885?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -1\/8897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*u + 931 = 807 - 740 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)*-1*2*-2.\nAnswer: 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 553\/395 + (-4)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -18\/145 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1710.8 - -1711. Which is the nearest to r? (a) 15\/7 (b) -1\/4 (c) 2\/15 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7084893 * -1.7.\nAnswer: 12044318.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**4\/14 + 5*j**3\/21 + 2*j**2\/7 - j. Determine x so that t(x) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 18*v - 52. Let u(x) = -x - 9. Let o(t) = -6*u(t) + w(t). Give o(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 1618.679?\nAnswer: -8093.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42124 (base 5) to base 12.\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 11:34 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 4) + 1 + -4 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.5 (b) -4 (c) -3\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -117*a**5 - a**3 - 614*a**2?\nAnswer: -7020*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5558910 and 119.\nAnswer: 94501470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -7. Suppose 0 = 2*n + n - 9. Suppose n*y = t*f - f - 61, 23 = 2*f + y. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -3. Let d(x) = x**2 - 5*x - 4. Let z be d(6). Let f be (z - 1)*(w + 0). Is -2\/15 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**4\/4 - 10*l**3\/3 - l**2\/2 - 8*l - 3. Let g be k(-10). Suppose g - 4 = -y. What is the remainder when y is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 90704981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284\/8 - (-1)\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 323 + -336.3. Let q = l + 17. Let h = -3.70000037 + q. What is h rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19046.4788777 - 18959.47888. Let w = -87 + b. Round w to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2 + -1)*(-2)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2926, -5851, -8776, -11701, -14626?\nAnswer: -17551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17916504 is divided by 1110?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*k + 54 = 0, 0*k = 2*a + k - 22. Suppose -28 = -5*z + a. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 177*m**2 - 117*m**2 + 133*m**2 + (-4*m + 5*m - 3*m)*(1 + 2*m - 1).\nAnswer: 189*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggfffgiggfpgpfpfp. Give prob of picking 1 f and 2 g.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -929359*x - 1018152 wrt x?\nAnswer: -929359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3611346 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 5:37 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((a - 2*a + 2*a)*(2 + 0 - 4) + 2*a - 7*a + 3*a + 0*a - a - 11*a)*(-8*a**4 + 7*a**2 - 7*a**2).\nAnswer: 128*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 15*c - 33*c + 11*c + 21*c to the form z + o*c and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4342, -3, 4.63?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -4*k + 215. Let y = -27 + k. Solve y = 3*b - 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 260 and 160592640?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*u - 15, -15 = 5*c - 2*u - 0*u. Let s be 3\/((-6)\/(-74)) - c. Suppose 2*g = -4*a + s, -3*a - 3*g + 32 = -2*g. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 6. Let o(f) be the first derivative of 2*f**2 + 10. Let v be o(-2). Calculate the smallest common multiple of z(v) and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*p - 3913 - 2582 = -426 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 36*v - 36 = -5*n, -4*v - 30 = -n. Solve 0 = -3*d - 3*u, -4*d + 2*d + u = n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3 + 0 = 3*z, z - 9 = -2*o. Suppose -d = -o + 2. Solve 0 = q + 2*h + 17 - 3, d*h = -20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*g - 2*n + 40, -g + 8 = 3*n. Suppose z - 5*z = -g. Suppose -3*r - z = -2*r. Let h(o) = o**2 - 1. Give h(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*w + 4*j, 2*j = -0*w + 5*w - 110. What is the smallest common multiple of 2 and (-64)\/(-6) + 8\/w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/30 and -97\/8832.\nAnswer: 44160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155 - 9968\/(38 + 51)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.038 (b) -567 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 8. Let l be d(8). Suppose 3*c - 5*n - 838 = 0, l = -5*c + 7*n - 2*n + 1390. Let p = -65 + c. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 104*t**3 + 2*t**2 + 3*t + 2. Determine g(-1).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, f: 15}. Give prob of sequence fa.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from {d: 1, k: 1, w: 1, x: 2, i: 1, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*j + 7, 4*k - 2*j = 60 - 12. What is the highest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41\/230 + -1\/46. Sort 1, -3, f, -0.4 in descending order.\nAnswer: 1, f, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -691*m - 2556*m - 116892 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 4*w**2. Let m be i(-3). Let b be m + (4 - 3)*4 + -1. Let v(f) = -2*f**2 - 10*f - 7. Calculate v(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -f - 5, -5*f - 5*d = -0*d + 15. Which is the third biggest value? (a) -2 (b) 5\/8 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -218651.4 minus 0.094?\nAnswer: -218651.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7517\/5006 - -4\/2503. Which is the closest to -5? (a) -1\/2 (b) -0.14 (c) -4 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*y**4 + 3*y**4 - y**4)*(9 + 12 - 10).\nAnswer: 209*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9070.056m to millimeters.\nAnswer: 9070056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 8*b**2 - b - 2. Let d = 8 - 6. Let y be j(d). Let g be (-82)\/(-7) + 8\/y. Solve -g = -2*a - a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.28 to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -4. Suppose 12 = 4*b - h. Put -1, -2, b in ascending order.\nAnswer: -2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11351126 divided by -14\nAnswer: 5675563\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0, -1\/4, 8.7409, 3, 2.\nAnswer: -1\/4, 0, 0.3, 2, 3, 8.7409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-1 - (1 - 8))) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 78\/(-8) - (-4)\/(-16). What is the smallest common multiple of 2 and (-1 - -4) + -1 - g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 3. Let f be o(-6). Let g = -18 + 21. Solve -4*k + 5*j = -f*k + 6, -5*k + g*j = 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 4*q**2 + 5*q + 1. Let h = -7 - 0. Let o(y) = 187*y - 55*y - 66*y - y**3 + 6*y**2 - 59*y + 1. Determine h*r(b) + 5*o(b).\nAnswer: 2*b**3 + 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924445211.\nAnswer: 97, 9530363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8443*g + 32*g**3 + 8447*g - 31*g**3.\nAnswer: g**3 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 43. Let s be 6\/2 + (-33 - -32). What is the nearest to s in l, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6055*v - 2014*v - 2017*v - 2020*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 453.153 + -454. Let a = 1.9 - 0.91. Let s = a + i. What is s rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101 + 1110011000101111010?\nAnswer: 1110011000111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.5 (c) -3 (d) -296\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4281 = 32*z - 3865 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278, 648, 1084, 1586?\nAnswer: 2154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 5, u + 23 = 5*v + 4*u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27167 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4))**(-16)*(y**(-3\/10)*y)**(-1\/2) assuming y is positive.\nAnswer: y**(1273\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -2*s**7\/105 - s**6\/60 - 187*s**5\/30 + s**4\/12 + 1529*s**2. What is the third derivative of j(h) wrt h?\nAnswer: -96*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.7 + -5.700416. What is x rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5576, -5582, -5592, -5606, -5624?\nAnswer: -5646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241398.\nAnswer: 2, 3, 13411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from {u: 5, k: 1, g: 4, i: 4, l: 4, p: 1}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009852658 to five decimal places.\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2. Let p(t) = -6*t**2 + 8*t + 8. Let k(h) = h**2 - h - 1. Let x(b) = -8*k(b) - p(b). Give 5*f(r) + 8*x(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:36 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88*1)\/((-13)\/91*28)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 17 = 16. Solve -5*m - 3*x = -12, -5*x + n + 6 = 4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 11 = 2*o. Let t(s) = s**3 + 9*s**2 + 2*s - 3. Let p be t(o). Let j be 0*-3*5\/p. Solve j = 4*a + 2*i + 20, a = -3*a + 5*i + 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 13*h - 26*g + 33 = -23*g, g = 4*h + 29 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + 16094?\nAnswer: 160a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5*q + 72 = 0, -10984*q + 10980*q = 5*n + 75 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyn when three letters picked without replacement from yyfnfnnnyyynn.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7931 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -451, -992, -1853, -3124, -4895?\nAnswer: -7256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/174 and -44\/29.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1131 = 8*j - 581. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1283 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.14, 0.1 in descending order.\nAnswer: 1\/2, 0.14, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, p: 1}. What is prob of sequence ttp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a - 787269?\nAnswer: -7871aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -715.5 - -715. Let w be (-2)\/(-4)*2\/5. What is the nearest to -0.4 in -5, w, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 293 - ((-5)\/(-5) - 4). Let c be (-1 - 97\/(-11)) + 390\/2145. Calculate the highest common factor of c and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 + 613\/13. What is the closest to 2\/7 in b, 2, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7 * -299.\nAnswer: -807.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**2 + 5*y**2 + y**2 + (-3*y - 2*y + 6*y)*(0*y - y - 2*y) - 3*y**2 + 3*y**2 - 2*y**2 to the form q*y**2 + m + o*y and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-506)\/(-23)*-1*(-8)\/44.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 5. Suppose -m*s + s = 1. Find the common denominator of -133\/12 and (s\/(-5))\/(6\/535).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 22?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 323112 - 11?\nAnswer: 323101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -442742?\nAnswer: 442747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 31*b**2 - 260*b + 100. Give u(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00841 + -63.9?\nAnswer: -63.89159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**3 + 14*a**2 + 712*a - 4127. What is n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.05 or 2\/53?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, s: 2}. Give prob of picking 2 s and 1 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -14. Let r be 7\/((-21)\/12) + 7. Solve 4*l = 2*m + o, m - 4*l = -r*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u - 4. Let j be ((-10)\/(-20))\/(1\/88). Let y be (2*(-3)\/4)\/(j\/(-88)). Suppose -58 + 91 = -y*i. Let r(p) = -9*p - 7. What is i*w(c) + 6*r(c)?\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12687 (base 12) to base 13\nAnswer: -b5b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 54 in decreasing order.\nAnswer: 54, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*p = -5. Suppose -3*n - 5*t + 33 = 0, -p*n + t = -t - 86. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.143? (a) 0.4 (b) 0 (c) 8 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -34. Let k be 0\/((a - -3)\/(-5)). Solve 0*d + 3*d = -12, k = -4*m - 3*d - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - -46. Let r = 214 - b. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/2 - 2\/2. Let u = 5 + p. Let d = 118 - 111. What is the remainder when d is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -3*s + 249*f - 241*f, 0 = s - 5*f + 23 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-6)*((-15)\/6 - -4). Suppose -40 = t*g - 4*g. What is the second derivative of -8*l**4 + g*l**4 + 2*l - 22*l wrt l?\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -13*p**2. Let x(a) = 3*a**2. Calculate x(c(f)).\nAnswer: 507*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**4 + 0*f**4 + 4*f**4)*(f + 3*f - 2*f + 2*f + 0*f + f + (-4 + 2 + 1)*(2 - 2 + 2*f)).\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 12:36 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-826)\/(-49) - (-10)\/70. Suppose 5*o + 105 = 2*u, u - 5*u - 2*o = -270. Suppose -4*j = -2*x - 40, -3*j - 3*x - b = -u. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2\/3 - 1955\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/2967 and -83\/30.\nAnswer: 29670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1055945, 1055947, 1055949?\nAnswer: 1055951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-60)*(-15)\/9)\/((-35)\/(-14))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmmhhhmmhh. What is prob of sequence hhhh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -50*u. Let s(a) = a**2 - 1661*a. Give h(s(y)).\nAnswer: -50*y**2 + 83050*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118347529 or -0.2?\nAnswer: -118347529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**2 + 17934 - 12*m**2 + 0*m**2 + m**2.\nAnswer: 2*m**2 + 17934","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.70293 to two dps.\nAnswer: 49.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a4c023 (base 13) in base 7?\nAnswer: 222544356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -565510707 or -565510708?\nAnswer: -565510708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**2 + 6. Let o(q) = 5*q**2 - 6. What is 5*o(b) + 4*r(b)?\nAnswer: b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4668169727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13401 - -9133. Let w = 6802 + u. Suppose 1045 + w = 3*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2692*x**2 + 1339*x**2 - 4*x**3 + 1342*x**2 + x**4 - 6*x.\nAnswer: x*(x - 6)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 221*c**3 - c - 11. Let q be (-10)\/20 - (-6)\/(-4). Let f(w) = 44*w**3 - 2. Let u(a) = q*p(a) + 11*f(a). Find the second derivative of u(x) wrt x.\nAnswer: 252*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 15 = 2*c. Suppose 0*j = -c*j + 72. Let n(a) = -8*a - 18. Calculate the remainder when n(-8) is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**2 - 126*o + 684 = 0.\nAnswer: 6, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 30 = -4*b, 3*q = -q - 3*b + 55. Calculate the common denominator of (2 + 106\/(-72))\/((-130)\/2730) and (q\/(-5))\/((-56)\/3).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/5 (b) 0.07 (c) 20 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5448251 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27097, 54203, 81309, 108415, 135521, 162627?\nAnswer: 189733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74126*i**2 - 83937.\nAnswer: -148252*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d - 90*d**2 + 16187*d**4 - 16189*d**4 + 1 - 13 + 2*d wrt d?\nAnswer: -8*d**3 - 180*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157547 is divided by 38463.\nAnswer: 3695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o = 6, 1147 = 4*v + o. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -67 + 120 + 26*m - 56 - m. Let k(y) = 5*y**2 + 2*y. What is k(h(j))?\nAnswer: 3125*j**2 - 700*j + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 5:19 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 11*g**2 + 0 + 1 + 10*g**2 - 8*g as i + v*g + w*g**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p**2 - 3 + 12*p**3 + 10 - 10*p**3 + 21*p. Is d(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162752330 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 799526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4*9\/(-72)*-54*(-13 - -13 - -1)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64335.6798 rounded to the nearest integer?\nAnswer: -64336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**3 - 3425*w**2 - 108 + 123*w + 2*w**3 + 3413*w**2 = 0.\nAnswer: -9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpppcpaarmppma. Give prob of sequence pp.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 163*b - 1. Let y(q) = 81*q - 1. Let a(h) = 6*n(h) - 13*y(h). Is 37 a factor of a(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 237*i. Let b(a) = 9*a**2 - 2. What is n(b(j))?\nAnswer: 2133*j**2 - 474","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 17*x + 1365. Let h be u(-80). Solve -4*a + 0 - 6 = -h*v, -2*v - 3*a = 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from jcccjjjjjc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.225653 millilitres?\nAnswer: 0.001225653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-212)\/(-1260) - (-1 + 12\/10). Is 1 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) -2\/29 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgpgpp. Give prob of sequence gpg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2769*j + 53979716 - 53979716.\nAnswer: -2769*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-143)\/((-2002)\/(-196)) - 2*-3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 459, 458, 457?\n\"Answer: -h + 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.1 - -6. What is the closest to h in -6, 2\/11, -2\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 6*f**2 - f + 5. Let n be s(6). Let o(q) = q**3 + 9*q**2 + 14*q - 6. Let m be o(-6). Let b be 2\/6 - 78\/m. Sort b, n, 4 in descending order.\nAnswer: 4, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than -194\/111061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 + 10. Let t(c) = -5*c**2 - c + 11. Let v(y) = 7*h(y) - 6*t(y). Let s be v(-5). Suppose 0 = 3*f - 102 + s. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 2 (c) -0.5 (d) 4\/15 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a centimeter in micrometers?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 399120?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3328 is divided by 98.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -18 + 28. Let l(b) = -2*b + 6. Let u be l(y). Let v(t) = 25*t**2 + t - 1. Is v(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**2*b**2 + 460863*a**2*n**3 + 4*a**2*n**2 - 70*a*b**2*n**2 + 2*a*b**2*n + b**2*n**3 - 12*b*n wrt n.\nAnswer: 2765178*a**2 + 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-3))\/(1\/3). Let p = f + 7. Suppose 0 = -x + 2*k + 8, 2*k = 5*x - 25 + p. Solve -x*d + 2*c + 24 = -3*c, -5*d + 14 = -c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/3)*y**(-2\/9))\/(y**(-2)\/(y*y**(-1))))\/((y*y**0*y)**(-33)\/(y**(2\/3))**(5\/6)) assuming y is positive.\nAnswer: y**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5 - 29*g**4 + 65*g**3 + 85*g**2 - 244*g + 124 = 0. Calculate g.\nAnswer: -31, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 3) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.96 + -9.64. Let w = -10.6 - n. Is 7.1 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**4 - 13*h**4 + 0*h**3 + 17*h**2 + 5*h**3 + 4*h**4 + 0*h**2 wrt h.\nAnswer: -192*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74003 is divided by 1945?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6 + (-4579)\/(-57). What is the common denominator of 49\/25 and y\/15 - (-4)\/(-30)*5?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*t + t + 80, 4*w - 124 = 5*t. Calculate the highest common divisor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-40 - -28 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 443202254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = -20*z + 1968 - 317. Let x(c) = -3*c**3 + 3*c**2 + c - 5. Let i be x(-3). What is the greatest common factor of z and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5287 + 8066. Suppose 8*q = -1139 + i. What are the prime factors of q?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -13367.39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/30901 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5629776702+-11.2\nAnswer: 5629776690.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 230*r**2 - 1985*r - 8160.\nAnswer: -5*(r - 32)*(r - 17)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 4, -14 in decreasing order.\nAnswer: 37, 4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t + 648. List the prime factors of c(39).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 5. Let g(l) = -1 - 3*l + 9 - c*l + l**2. What is the units digit of g(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**5\/4 - 1279*q**4\/4 - 2142383*q**3\/2 + 1279*q**2 + 4284762*q = 0.\nAnswer: -1527, -2, 0, 2, 2806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -9*v**4\/8 - 7*v**3\/2 + 4*v**2. Differentiate g(q) with respect to q.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 531745200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -1\/6924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 30884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/4 and 9\/63016?\nAnswer: 63016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/(7\/14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(140))\/((sqrt(245)\/sqrt(5))\/sqrt(7)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51870522?\nAnswer: 2, 3, 11, 37, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6400\/(-704) - (-1)\/11\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2174 = m + 1242, i - 3*m + 854 = 0. Let j = 454 + i. Does 9 divide j\/(-18) - 4\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 1:25 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 147. Let c(o) = 29*o + 20. Determine d(c(k)).\nAnswer: -58*k + 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 + 9 = 0. Let i be q\/((-3)\/(-24)*6). Suppose 0 = 4*n + i, -3*m + 63 = 2*n - 4*n. Calculate the remainder when m is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4590, 4503, 4414, 4323?\n\"Answer: -y**2 - 84*y + 4675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 - 338*j + 96 - 191.\nAnswer: -338*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express y**4 - 9*y**2 + 0*y**2 + y**2 + y in the form p*y + h + l*y**2 + f*y**3 + q*y**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6003679, 6003672, 6003665, 6003658, 6003651, 6003644?\n\"Answer: -7*t + 6003686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375 less than or equal to 1375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 12*z**2 - 12*z + 14. What is u(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1531666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13, 36, 67, 106, 153, 208, 271?\n\"Answer: 4*g**2 + 11*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 39*l**3 - 33*l. Let a be 8\/(-10) + 11\/(440\/(-1288)). Let g(p) = -5*p**3 + 4*p. Determine a*g(y) - 4*c(y).\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r = 3*h - 3, 0 = -4*h + 4. Which is bigger: -9\/7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 6*g + 3*g = -6*g + 34, -2*q - 9*g = -106 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 64 = -4*h, 8*w = -2*h - 113 + 197. What is the nearest to -113 in -0.3, 5, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -8 + -1 - -18 - 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 39. What is the remainder when l(24) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*f**2 + 4*f**3 - 370*f**2 + 147*f**2 + 6*f**3.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62.6226259 + 10.0770571. Let j = -72.7 + l. What is j rounded to five dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-5) - (5 + -2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*x + 4 = 0. Let f be (26 + -14)*x\/(-2). Suppose -f*k = -10 - 8. Solve 5*b + 3 = k*n - 14, -4*b = -n + 15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 9:28 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 10. Which is the nearest to -3? (a) n (b) -1 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 35. Let j(x) be the second derivative of x**5\/10 - x**2 - 477*x. Let z(r) = -16*r**3 + 17. Determine y*z(n) - 51*j(n).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/2 of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52961027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110034341 (base 5) in base 8?\nAnswer: 20545577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*u + 32. Suppose u = l + 13. Is -7 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = -4*r - 2*h + 385, 3*r - 2*h = 253. What is the remainder when r is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + o + 2*o**2 + 3 + (2 + 1 - 1)*(2 + o**2 - 2))*(3*o - 3 + 3) to k*o**3 + b + m*o**2 + r*o and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -87*p**4 - 4*p**3 - 14*p**2 - 4*p. Let g(l) = 87*l**4 + 3*l**3 + 13*l**2 + 4*l. Let k(y) = 4*g(y) + 3*m(y). Find the third derivative of k(z) wrt z.\nAnswer: 2088*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**2. Let m(f) = -211612*f. Give u(m(z)).\nAnswer: -134338915632*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*c + 41*c - 128680. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f - 122 + 21*f + 88. Let t be d(-8). Let b = t + 391. Calculate the remainder when b is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 6. Let o be m(-9). Suppose -3*q + o*i = -6, 0 = 3*q - 8*q + 3*i + 14. Solve -q = 3*a - 4*v, -2*a - a - 22 = 5*v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 490003570831.12 and 0.4.\nAnswer: 490003570831.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-2)*(-1)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 2*m - 23. Suppose 3*r = -5*z + 6*r - 39, -2*r + 6 = 0. Let v be a(z). What is the closest to -1 in v, 5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-118)\/(-32) - (0 + -1) and 0 - -14*(-14)\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*a + 5, 2*a - 4*u = -5 + 1. Let y be (-2 - 1) + 3 + a. Let g(s) = 0 + y - 1. Let h(o) = 2*o - 14. Determine 12*g(t) - h(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4721, -4733, -4757, -4799, -4865, -4961, -5093, -5267?\nAnswer: -5489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 45335023 (base 6) to base 4\nAnswer: 11101033113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 1.117 (c) -3092\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (-6)\/1)*(-5)\/10. Let p be 64\/(-78) + 1\/t + 1. Which is the third smallest value? (a) 4 (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*r**2 - 33*r**2 - 2 + 2*r - r**3 as x*r + s + c*r**2 + w*r**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/8 - 25*d\/2 - 51\/2.\nAnswer: (d - 102)*(d + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*g**4 + 60158*g**3 - 881616*g?\nAnswer: 240*g**2 + 360948*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 5:37 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjj when three letters picked without replacement from xhajjazc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 913*d**2*s*y**3 + 2*d**2*s + 14748*d**2*y**3 - 2*d**2*y wrt s.\nAnswer: 913*d**2*y**3 + 2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8526.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*3\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + 1 + 4)*(-12*p + 25*p - 17*p) - 2*p + p - p - 5*p + 3*p + p + (1 - 2*p - 1)*(-2 + 2 + 1) as i*p + c and give i.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7305326 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y - 4 = 19*y + p, 2*y = p + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*r + 27, 3*n = r - 17 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 15. Calculate the remainder when 28\/7 + (9 - -1) is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 0, w + 2*w - 798 = 3*t. Let y = -266 - t. Put 8, y, -1 in decreasing order.\nAnswer: 8, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, b: 1, a: 1, y: 1, l: 1, o: 1}. Give prob of sequence ba.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*p**3 + 40*p**3 + 4 + 12*p - 164*p**3 + 3*p**2 + 39*p**3 - 2*p**4 + 49*p**3 as i*p**2 + u*p**3 + a*p**4 + o*p + z and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11170 + -10646. Solve 5*f - 514 = -m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(18)\/sqrt(3)) - (sqrt(44) - sqrt(440)\/(sqrt(40)\/sqrt(4)))) + -4 + (6*(1 + sqrt(396)))**2.\nAnswer: 434*sqrt(11) + 14288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 10. Let o(a) = 3*a - b - 3*a + a - 3*a. Calculate the remainder when 3 is divided by o(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 8. Let a = n + 8.8. What is the nearest to 1\/6 in -2, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 3. Let h be u(7). Let y = h - 4. Suppose -2*o + 3*o = y. Solve o*v - 9 = -3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 571 and 0.3.\nAnswer: 171.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 535137517527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 14. Let s be (-9)\/(-6)*(-6 + u). Which is the closest to 2\/3? (a) -3 (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 22 = -2*b, 5*b + 5*y + 30 = 2*b. Let k be (b\/(-4))\/(2\/8). Suppose -k*o - 2 = -22. What is the remainder when 15 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30473 - -4.\nAnswer: -30469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2 = 10. Let y = c + -2. Suppose -3*w - y = -25. What is the remainder when 23 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2165850 and 1350.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -145 (b) -2\/3 (c) 11 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 180*v**2. Let q(r) = -2*r. Determine x(q(k)).\nAnswer: 720*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + 0)\/3*4. Suppose t*d = 3*a - 72, -2*a = 3*a + d - 120. Calculate the greatest common divisor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -83*d - 11. Is k(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194335864?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*k**3*r**2 - 109293*k**3 + 154*k**2*r - 4*k**2 + 1146*k*r - 6 wrt r?\nAnswer: -18*k**3*r + 154*k**2 + 1146*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 191 - 189. Let q be (-31)\/(-1085) - c\/(-5). What is the third smallest value in 0.5, -2, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519758497?\nAnswer: 103, 5046199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 4*o**2 - 1. Let l be k(-4). Let m = 4.3 + -4. Let x = -92207.59 + 92208. Which is the nearest to l? (a) x (b) -2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/22379220 and 53\/20250?\nAnswer: 1678441500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 744 and 63147.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 7436 + 7436.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -81b7?\nAnswer: -81b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 6. Suppose x + 5*x = b. Solve -3*q + 3*t - 6 = 0, q - 1 = -x*t + 2*t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4034 - 2.5966. Let w = 80507 - 12961717\/161. Let t = w + 3\/23. Which is the nearest to 3? (a) l (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 2*u - 21 = 5*i, -2*i - 3*u = 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/1120*8*(-8)\/((-192)\/1260).\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnznznzznzznnzzznnnn. Give prob of sequence zznz.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -454, -458, -472, -502, -554, -634, -748?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69098 = -30*g + 99588 + 176524. What are the prime factors of g?\nAnswer: 37, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.58 - -1.51. Put 1\/4, 1, y, -1 in increasing order.\nAnswer: -1, y, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 23*p + 327. Let z be o(-10). Let g(n) = n**2 + 7*n + 7. What is g(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c = -23*c + 5*r - 11, -c + 14 = -4*r for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 26*l - 1\/30*l**6 + 0*l**5 - 2\/3*l**3 + 3\/2*l**2 + 5\/6*l**4 + 0. What is the second derivative of u(p) wrt p?\nAnswer: -12*p**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 173 = 43*i + 261, 4*i + 31*r = 33*r - 48 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165241.\nAnswer: 149, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1030, 1983, 2940, 3901?\n\"Answer: 2*t**2 + 947*t + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, 20, 75, 142, 215, 288?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 5 (c) -28 (d) 10 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a day in hours?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0591306 years to millennia.\nAnswer: 0.0000591306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((1 - 4) + 12)\/((-948)\/136 + 7) is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s*s**(1\/3)*s*s)\/s))\/s*s*s**(1\/7)\/s*s)\/(s**1)**2 assuming s is positive.\nAnswer: s**(-88\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8828 is divided by 8687.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -318, -504, -698, -900?\nAnswer: -1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23712*i**3 + 7129?\nAnswer: 71136*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.565052 centuries to decades.\nAnswer: 15.65052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1320 (base 4) to base 16\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -0 + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 22. Let o be f(15). Let w = -36 + 106. Suppose 26*i = 31*i - w. What is the greatest common divisor of o and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(143) + sqrt(143) + (sqrt(143)*1 - sqrt(143) - sqrt(143)) + sqrt(143))*3)\/((6*sqrt(66)\/sqrt(2))\/sqrt(3)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/((-315)\/10)*-1*(-24)\/(-84).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -43. Let i(n) = n**3 - 12*n**2 + 12*n + 5. Calculate the least common multiple of i(d) and (-2)\/(-3) + 16\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1790 = -4*w + 2*j, -w - 5*j + 913 = w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*k = 40, -3*k = 2*j - 14 + 40. Let r = j + 14. Calculate the remainder when 4 is divided by r + (4 - 1) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9749233 divided by 13?\nAnswer: 749941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6552 and 378?\nAnswer: 19656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8 = 0, 183*g - 187*g + 28 = 5*s. Let l be (9 - 10)\/(2\/(-16)). Solve -l*r + s = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10600142?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104751557 and 165717.\nAnswer: 942764013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 621 and 28911.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 + -3 - (-2 + -10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 - (-3 + (-3 - -1))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.036, -7, 3 in descending order.\nAnswer: 3, 0.036, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 131907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5509*j + 126747. Give b(-23).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 587407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 times -0.15092?\nAnswer: 38.18276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 37, 38, 39, 40?\n\"Answer: j + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/15)\/(-4 + 234\/65).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 81*z**2 + 483*z + 120. Give f(-6).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j + 14. Give b(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 26276*x**2 + 131296*x + 105024.\nAnswer: 4*(x + 1)*(x + 4)*(x + 6564)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -2219.\nAnswer: -3\/2219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039 - -3414173?\nAnswer: 3415212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 4*k - 19. Let o be q(7). Let p(d) = d**2 - d + 7. Let c be p(0). Suppose -o*x + c = -x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -150.05847 - -133.4658215. Let w = x + 23.39264817. Let n = w - 6.8. What is n rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)\/(g**4\/g))**(18\/5)*(g\/(g\/(g**(-1\/12)\/g))*g)\/(g**(-1\/6)*g)*g\/(g\/g**0)*g*g*g\/g**(-3)*g*g assuming g is positive.\nAnswer: g**(-871\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 2*g - 39, -3*g + 3320 = 9*r + 3275 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - 2*m + 12. Let r be i(9). Suppose b + 3*v = -b + 104, 3*b - 2*v = r. Does 26 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 505347 + -11522?\nAnswer: 473625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -12) + (-72 - (4 + (13 - 3))).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6408.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1342, 2653, 3964, 5275, 6586, 7897?\n\"Answer: 1311*g + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 + -100011?\nAnswer: -111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45535862*r**4 - 258217705*r**2?\nAnswer: 1092860688*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7607, 5, 15, 1\/4, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5404 and 8334319?\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20211 is divided by 361.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/3)*o)**(-1\/33)*o**(-4\/5)\/(o\/(o*o\/o**(3\/10))))**(-26) assuming o is positive.\nAnswer: o**(2327\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzk when three letters picked without replacement from {z: 3, k: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14 + (-2132)\/(-138))*-9*(1 + 0). Does n = -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtstttttvsst. Give prob of picking 3 s and 1 t.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/10 (b) 5\/11 (c) 1\/5 (d) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9131 and 64711?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5384528 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 8.\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -657286, -657289, -657290, -657283, -657262, -657221, -657154?\n\"Answer: p**3 - 5*p**2 + 5*p - 657287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1043 or -1052?\nAnswer: -1043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.18 + -6.82. Let t = 6 + l. Which is greater: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3217 + -3163. Solve -v = 6*c + 3*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15255, 30571, 45905, 61257, 76627?\nAnswer: 92015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x + 3*x - 3 + 0 - 1. Suppose -2*d + 3 = l + 4, -5*d + 10 = 5*l. What is the remainder when 31 is divided by w(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -25, -0.4, 7\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1423 = g, -4*d = 3*g - 3376 - 901. List the prime factors of g.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3119*u = -3124*u + 2*j + 9, 3*u - j - 6 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2257661783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 1. Let f(d) = -196*d**2 + 60. Let t(y) = -f(y) - 6*x(y). What is the derivative of t(c) wrt c?\nAnswer: 380*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 3*h + 2*h**2)*(2 + 3 - 4) + 6875*h**2 - 16623*h**2 + 5976*h**2 - 18691*h**2 - 19090*h**2 + 3989*h**2.\nAnswer: -37562*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1488650 divided by 2.\nAnswer: -744325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzrzzzrzrzz.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.5. Let g = -0.1 + q. Let v = -4 + 3. Is g at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 6:49 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 8. Let k = 12 + s. Suppose p = -k*p + 3*g + 39, 0 = g - 2. Solve p*n = 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -10. Suppose -x - i = -5*x. Solve 2*l + 12 = 4*z, 4*l - x - 5 = 2*z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -8) + (2 - 10) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 1. Let o(t) = -3*t - 6. Let q(g) = -6*n(g) + o(g). What is the units digit of q(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**2 + 1928*d - 653*d - 2 - 632*d - 638*d + 14*d**2 to s*d + k*d**2 + u and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4916, -9816, -14716, -19616?\nAnswer: -24516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-5) + -8)*(-94)\/(-3). Let x = v - -361. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3200 + -3199. Let r(p) = -p**3 + 6. What is the remainder when r(0) is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154809638401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-92)\/(-1242) - (-237)\/81. Solve -t*u - 2*q - 3*q + 32 = 0, 0 = 5*q - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.178 + -6.658. Let d = -5.92 - 0.08. Let c = d - s. Round c to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12285 (base 10) to base 3.\nAnswer: 121212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i**3 + 12*i**3 - 88882*i + 88902*i.\nAnswer: -i**3 + 20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1092*u**3 - 270*u**3 + 280*u**3.\nAnswer: 1102*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155125 and 39712.\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40\/30*(-8 + 5) + (-580)\/(-4). Calculate the highest common factor of s and 4747.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121212000021 (base 3) to base 7\nAnswer: -2551030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28040353 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -629, -1088, -1547?\nAnswer: -2006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5603340 to the nearest 100000.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8 - 2 - 1 - 6. Let v(a) = -a - 1. Suppose 4*z = -s + 10, -4*z + 3*s = -s. What is z*l(x) - v(x)?\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 4:14 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from bbc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.088 + 0.212. Which is the closest to 23? (a) 4\/5 (b) z (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4274113010 to the nearest one hundred thousand.\nAnswer: -4274100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 128\/15*y**3 - 96\/5*y**2 - 14*y + 0*y**5 - 8\/5*y**4 + 2 + 2\/75*y**6. Factor c(a).\nAnswer: 4*(a - 2)**3*(a + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2307766?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57363299 rounded to 4 dps?\nAnswer: 0.5736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -161206 by -1.\nAnswer: 161206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + 2*sqrt(104)*2 + (sqrt(104) - 6*sqrt(104)*1) + sqrt(104))\/(((sqrt(200)*3 - sqrt(8)) + sqrt(8) - sqrt(8)) + 6*sqrt(40)\/sqrt(5)).\nAnswer: sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 28*a**2 + 285*a + 103. Let x be z(36). Put x, -71\/4, -0.02, 0.2 in ascending order.\nAnswer: -71\/4, x, -0.02, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-1) - (17 - -1). Calculate the common denominator of 44\/9 and 7 + -5 - b\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 75662.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fic when three letters picked without replacement from cfccciccc?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55411?\nAnswer: 55411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2*y + 6, -20 = -21*v + 19*v - 5*y. Let g(s) = -9*s + 6. What is g(v)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*m + 20*m - 14*m)*(0*m**2 - 3*m**2 + 4*m**2) + 9*m**3 + 18*m**3 - 9*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276, -549, -824, -1101, -1380, -1661, -1944?\nAnswer: -2229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1 - 11 = 2*z, -3*z + 3*y - 6 = 0. Suppose 0 = z*i - 6*i + 8. Suppose i = 2*q - 0. Calculate the highest common divisor of 4 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5635 or 5637?\nAnswer: 5635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.7 + -1.5. Sort n, 1\/3, -1\/2 in descending order.\nAnswer: 1\/3, n, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -201210200021012?\nAnswer: -201210200021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15680 and 54220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f**37)\/f))\/(f*f\/((f**(-38)*f)\/f)))\/(f**15)**(-39) assuming f is positive.\nAnswer: f**509","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-1)\/((3\/1)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 + (-19 - -14) + 13 - -13.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -11.3260479486599?\nAnswer: -7.3260479486599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 466 = v - 0*v, -3 = 3*v. Let l = 289 - f. Let r = -134 + l. What is the remainder when r is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 8:00 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/4)\/(1\/(-52)). Let k = 9 - l. What are the prime factors of (6\/k)\/(1\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3 + 8 = 0, -5*b - 4*n + 14 = 0. Differentiate 37 + 59*i - 4*i**b - 2*i + 3*i**2 + 30 with respect to i.\nAnswer: -2*i + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -6, -850, 9, -2 in ascending order.\nAnswer: -850, -15, -6, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 9:49 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5577 or -5580?\nAnswer: -5580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -8\/3*s**3 - 18*s - 1 + 12*s**2. Let d(j) = 0. What is j?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let h be (-4 - 0) + 1820\/462. Let y = h + 142\/165. Which is smaller: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 1. Let q(x) = 2*x + 8. Let l(m) = 3*b(m) - q(m). Let w be l(11). Solve -5 = t - w*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 816*w + 25306 - 25306 - 817*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7106*q + 14179. Determine i(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**5\/7 - 444*y**4\/7 - 30238*y**3\/7 - 560012*y**2\/7 + 1898424*y\/7 - 1307728\/7 = 0.\nAnswer: -94, -37, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (9 - 7) - -7 - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 29 + 733. Suppose -o = -5*h - 46. What is the lowest common multiple of h and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*m - z, 3*m - z - 13 - 2 = 0. Factor -3\/2*u**2 - 3\/2*u**5 + 3\/2*u**m + 0 + 3\/2*u**3 + 0*u.\nAnswer: -3*u**2*(u - 1)**2*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 4. Let u be h(5). Calculate the remainder when 0 + (-2 - (-33 + u)) is divided by 1\/((-5 - -2)\/(-51)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.035 - 0.365. Let p = -224\/3 + 75. Which is the nearest to -2\/7? (a) f (b) -2\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7562 - -322?\nAnswer: -7240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*t - 31. Let q = t + 8. Let k = -4 - -11. Solve 5*f - k + q = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**3 - 24*r**2 - 44*r - 24. Let l(j) = -8*j**3 - 48*j**2 - 88*j - 48. Let w(t) = -2*l(t) + 5*m(t). Suppose w(v) = 0. What is v?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 861 - 1289. Is 15 a factor of l\/(-10) + (-3)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 45, -166, -503, -954, -1507, -2150?\n\"Answer: 2*m**3 - 75*m**2 + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*p - 4, 7*m + 4*p = 8*m - 8. Which is the biggest value? (a) 0.2 (b) -0.2 (c) m (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9715469 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(200) - sqrt(200)*-4 - (sqrt(32) + 2)**2) + -1*(sqrt(18) + 0 - sqrt(384)\/sqrt(3))**2.\nAnswer: -136*sqrt(2) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216, 215, 210, 201, 188, 171, 150?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1595555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {l: 5, y: 11, p: 1}.\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a (base 14) in base 3?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -68*o - 27. Is q(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 9) to base 6\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.4511008 rounded to 2 dps?\nAnswer: -23.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 11*m**2 - 4*m - 36. What is r(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -9 - 3. Let l(w) = -17*w + 11 + 49*w**2 - 61*w**2 + 33*w**j. Is l(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2932 divided by -733\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8535325 millilitres in litres?\nAnswer: 0.0008535325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/711 and -40\/1659.\nAnswer: 4977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(12\/158424*14). What is the highest common factor of 82 and m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125743.\nAnswer: 125743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2370*s + 2837 + 115160 - 39978 = -66551 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4.9, 174, 0.5?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -29. Let r(z) be the second derivative of 1\/12*z**4 + 0*z**2 - 2*z + j + 0*z**3. Let s(u) = 3*u. Give s(r(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 - (-13 - -13 - -24)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66*m*q**3 + 23*m*q**2 + 2*m*q - 5 wrt q?\nAnswer: 396*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**5\/60 + 7*m**4\/12 + 8*m**3\/3 - 2*m**2. Let b be k(15). Sort -2\/5, 3, b.\nAnswer: -2\/5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 750041 divided by -750041.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 31?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*a = 5*a. Factor -2\/7*w**2 + 0 - 1\/7*w**5 + a*w + 0*w**4 + 3\/7*w**3.\nAnswer: -w**2*(w - 1)**2*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3411 is divided by 302.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*h + 79*h = 60. Let t(b) be the first derivative of 9*b**2 - 11*b**2 + 3 - 4. Let s(j) = 15*j. What is h*s(z) + 9*t(z)?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 m, and 1 h when four letters picked without replacement from pmjrmhrrhrpo.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*h**3 - 313*h**3 - 26*h**3 + 166*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (34 - -1)\/(-5). Let n be (g\/9)\/(1\/9). Solve n*w - 5*f = -8, -5*f = w - 27 + 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153) + 3)*4)**2 + -6*(sqrt(153) + (-1*sqrt(153))**2).\nAnswer: 342*sqrt(17) + 3051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**8\/1680 - g**7\/280 + g**6\/360 + g**5\/40 - g**4\/12 + 2*g**3\/3 - 1. Let w(z) be the third derivative of a(z). Factor w(k).\nAnswer: (k - 2)*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.12, 0.4, -77.7, 0, 0.037?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 7*r - 10, 61 = 4*o - 2*r + 51 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(72).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**6*c*c))\/c)**(-40)\/(c**(17\/6)\/(((c\/((c*c\/(c*c\/c**(-32)*c)*c)\/c))\/c)\/c)))**38 assuming c is positive.\nAnswer: c**(44365\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.049? (a) -1 (b) -3\/8 (c) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1298 greater than or equal to -136112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x = 35 + 25. Let m(v) = 103*v**2 - 9*v - 24. Does 15 divide m(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n - 12. Let j be c(-9). Does 6 divide (j\/2)\/((-9)\/24) - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1044958 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*h - 34*h - 4. Suppose -4*q + 256 = 4*r, 0 = -3*r - 11 + h. Is 66 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 0.882732167747.\nAnswer: 4.117267832253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/7))**(-6\/5))**48)**(3\/2) assuming m is positive.\nAnswer: m**(-864\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52871 - 52871 + 289*f + 1554*f.\nAnswer: 1843*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 = 4*r, 2*t - 3*r - 2 = 12. Solve -t*y = 10 - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*g**2 + 430*g**2 - 147*g**2 in the form p + l*g**2 + s*g and give l.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*c**2*f**3 - 3*c**2 + 2*c*f + 129*c - 47*f**3 - 1 wrt f?\nAnswer: 24*c**2*f**2 + 2*c - 141*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 35 = 5*l, -745*l + 5*u = -750*l + 15 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h**3 - 2866295*h**2 - 68525547500*h - 2952680937500 = 0.\nAnswer: -47750, -259\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6748*j**2 - 6*j + 8. Let b be l(-4). What is b rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4 + 24. List the prime factors of (-19)\/a + (-16)\/(-56).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1641296695039106.38799522 + 1641296672449534. Let c = g - -22589572. Let u = -0.388 - c. What is u rounded to seven decimal places?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**4\/12 + w**3\/2 + w**2\/2 + w. Let i be v(-3). Let t = 2\/345 - 704\/2415. Is i smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -688860 rounded to the nearest one thousand?\nAnswer: -689000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 115, 41, 12, -4 in increasing order.\nAnswer: -4, 12, 41, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36667508*o**5 - 144989364*o**2 wrt o?\nAnswer: 2200050480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r = -619018 + 1781386. List the prime factors of r.\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.616 - -0.172. Let s = p - 0.046. Let j = -0.39 - s. Which is greater: 5 or j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51301 and 2684?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3, -5, 138.8, 2\/17, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11471 + 6670. Let h = w - -4796.923. Let u = -0.077 - h. Which is smaller: u or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -41, -0.4, 4, 11, -0.15.\nAnswer: -41, -0.4, -0.15, -0.1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*m + 39 = 17, -3*p - 2*m = -88. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -11087*s**4\/4 - 2*s**3\/3 - 3*s**2\/2 + 322*s + 1593. Find the third derivative of k(x) wrt x.\nAnswer: -66522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86707?\nAnswer: 31, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hishhiih. What is prob of sequence sh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2750 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*t - 2039 + 2039 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e7 - ccc?\nAnswer: -be5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 2:54 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004897284 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/8 of a day in hours?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 + 241. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-6)\/8)*-1. Let b = 12 - 18. Let s be (-25)\/(-30)*b\/20. What is the nearest to 1 in s, o, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/7 + 68825*x**2\/7 + 1170510200*x\/7 - 473151579500\/7 = 0 for x.\nAnswer: -34610, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/35 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512023 (base 7) to base 8.\nAnswer: 252143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-1) - (-148)\/12\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2166*f - 1760 + 9434 + 1833*f + 1337 wrt f?\nAnswer: 3999","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.09330715 to three decimal places.\nAnswer: -2.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-148)\/518 - (-1570)\/(-28)*-60?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 2491363\/6 + -411708. Let o = z - 3496. What is the common denominator of o and 314\/18 - (-9 + (33 - 14))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/11)\/w**(4\/9))\/((w*w*w**(-3))\/(w\/w**3*w)))**(-2\/43) assuming w is positive.\nAnswer: w**(160\/4257)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78c8f (base 16) to base 3.\nAnswer: -221010122112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5168084 rounded to 3 dps?\nAnswer: 4.517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/115 and 27\/13?\nAnswer: 1495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 554527015 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 17. What is the remainder when g is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4421\/9 + -491. Which is the nearest to -2\/9? (a) 3 (b) z (c) 7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1248\/(-780))\/(1\/5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 1, d: 2, c: 3, b: 1, r: 4}. Give prob of sequence cd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -11*q + 69. What is k(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321721 (base 14) to base 10.\nAnswer: 1694449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 - ((16 - 62) + 42) - -16.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*j**5 - 84876*j**2 - 115417*j - 74 wrt j.\nAnswer: -880*j**3 - 169752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3002013 (base 4) in base 3?\nAnswer: -122001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9855670 rounded to the nearest 100000?\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25315.\nAnswer: 5, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28406 or -28405?\nAnswer: -28406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 407887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10) - (2592\/30)\/18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01444 to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*b - 4*h - 206, 5*h + 10 = 0. Let i = b + -180. Let f = 166 + i. What is the greatest common divisor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(68)*1 - -5*(sqrt(17) - sqrt(68)\/sqrt(4))))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-198)\/45 + (3 - -2). Factor 0*w + 0*w**2 + q*w**3 + 0 + 3\/5*w**5 - 6\/5*w**4.\nAnswer: 3*w**3*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 17260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q**(-1\/2))*q**(-2)\/q*q)**(-36) assuming q is positive.\nAnswer: q**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/14 (b) -5\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.442 + -3.378. Let p = a + 4. Let t = p + -0.1800007. What is t rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 32*t + 405. Let y(n) = n**2 + 19*n - 203. Give 3*g(b) + 5*y(b).\nAnswer: 2*b**2 - b + 200","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -2)\/((0 - 2)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 651 + -584. What is the remainder when n is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 100213976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k + 2. Let f = -5 + 9. Let y = f + 7. Let j(x) = -9*x - 5 - 6*x - 2*x. What is y*t(h) + 4*j(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((-5)\/(60\/27) + (-15)\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 31. What is the tens digit of s(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**2\/15 - 2*x\/15 + 4\/15 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1738\/17, -23.9 in decreasing order.\nAnswer: 6, -23.9, -1738\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*v + 8. Let i(f) = -f**2 - 7*f - 1. Let q be i(-6). Let g = q - v. Sort g, 2, 3 in ascending order.\nAnswer: g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125 + -122. Solve -4*p + k*p = -1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -153\/7 (b) -0.2 (c) -2\/5 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from nqgiiirii?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 0, 5, -950977 in decreasing order.\nAnswer: 5, 0, -2, -5, -950977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.22, -5, -0.1, 3.\nAnswer: -5, -0.1, 0.22, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 55, 92, 141, 208?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2, 3, -34, -133, -318, -613, -1042?\n\"Answer: -4*r**3 + 5*r**2 + 14*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -6081\/11, -0.4 in descending order.\nAnswer: 0.2, -0.4, -6081\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 36 = 2*h + 2*x, 2*h + 4*x - 66 = 0. What is h rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3675, 3695, 3735, 3801, 3899?\nAnswer: 4035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -2\/273, -18.1, -170?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + (sqrt(468) - sqrt(13)))*-3)**2 + sqrt(52)\/(sqrt(4) - 6*sqrt(4)).\nAnswer: -sqrt(13)\/5 + 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2681*b + 32254. Suppose -h = -3*a - 13, 0*a - 3*a - 51 = -3*h. What is the remainder when v(-12) is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -12540650256?\nAnswer: -12540650253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 141*q**3 - 4*q**2 - q. Let m be n(2). Factor 66*g + 2*g**3 + 2793 + 2695 + 119*g**2 - 35*g**2 + m*g.\nAnswer: 2*(g + 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**(-1\/3)\/p)*p*p**(-4)*((p*p\/(p\/p**0))\/p)\/p**3 assuming p is positive.\nAnswer: p**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3*u = 8, 5*k - 16 = k + 4*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*k - 295 = -2179 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9540 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1)*2\/1. Suppose 2*d - b = 6. Let i be (4 + 0)*d\/8. Solve -u - 1 = -i*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*5\/(3*(2 - 0)). Suppose 5*l + k = -4*k, -5 = r*k. Let n = -2\/123 - 37\/246. Which is bigger: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 566 - 567. Which is smaller: k or 16\/69?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 - 2*k. Let r be y(-5). Let d = r + 573. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*c + 5 = 0. Let h(t) = 16 + c + 6*t - 4*t**2 + 3*t**2 + 16*t. What is the remainder when h(16) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - 24*k**2 + 73*k + 131. Is 38 a factor of q(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(3) - sqrt(3)) + -5)**2*-2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r - 9. Let w be s(-8). Let q be w\/(-6) + 6\/(-36). Which is the second biggest value? (a) -5 (b) 2 (c) q (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85 - 83. Suppose -n - 3*b = -2*b - 129, q*b + 362 = 3*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.6 - 4.6. Let w be (-11)\/(-22) - 2\/(-52)*-17. What is the closest to 11 in s, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(3 - 3 - 3)*(-175*z - 32*z - 1 - 308*z).\nAnswer: 3090*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16, -2, -15 in increasing order.\nAnswer: -15, -2, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**2 + 59*p - 38. Let f be d(11). Solve -3*y = f, -4*y - 19 + 6 = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**6\/3 - 158*c**5\/15 - 223*c**4\/3 + 2072*c**3\/9 + 392*c**2\/3 + 738. Find s, given that a(s) = 0.\nAnswer: -14, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34199, -34197, -34191, -34181, -34167?\nAnswer: -34149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17543\/7173 + -1\/797. Let n = o - 92\/45. Let f = -8.65 - -13.65. Sort f, n, 1, -3 in descending order.\nAnswer: f, 1, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2823 - -2818. Sort -0.4, y, -132, 0.\nAnswer: -132, y, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**5 + 1\/3*t**3 + 21\/2*t**2 + 19 + 1\/4*t**4 + 0*t. What is the third derivative of l(s) wrt s?\nAnswer: -120*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 339c - 7c69?\nAnswer: -489a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1907, -1890, -1827, -1694, -1467, -1122, -635, 18?\n\"Answer: 4*y**3 - y**2 - 8*y - 1902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911643 is divided by 142.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -236, -139, -44, 49?\n\"Answer: -r**2 + 100*r - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6533, 6531, 6529, 6527?\n\"Answer: -2*k + 6535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 162 + -166. Let t(z) = 3546*z**3 - 4*z**2 - 5*z - 12. Let s be t(d). What is s rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 147, 266, 419, 600, 803, 1022?\n\"Answer: -j**3 + 23*j**2 + 57*j + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 - 3. Let r be ((-7)\/((-91)\/(-2)))\/(-5 + 6). Which is the third biggest value? (a) -1 (b) r (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npiiippggiipppvpvvgp. What is prob of sequence gv?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*w + 5 = -156*w - 2*p, 7 = w + 2*p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7366828 minutes to nanoseconds.\nAnswer: 44200968000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 - 41*r**2 + 48*r + 574. Calculate y(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -32*h**3 + 927*h**2 + 21*h + 226. Give k(29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/44 and ((-1)\/4)\/((-2)\/(-131)*-85).\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*j - 379*j**2 - j**3 + 0 + 376*j**2 as g + v*j + y*j**3 + l*j**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 118527547*w**3 - 191225862 wrt w.\nAnswer: 355582641*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 187 and 7525298?\nAnswer: 127930066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/40 + (-51)\/60. Let p be (4\/(-6))\/((-16)\/(-24)). Which is smaller: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2*(15 - 15) - -16. What is the tens digit of (4\/(f\/(-420)))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 9*o - 11*o + 5 + o**2 - 6*o. Let l = 289 + -193. Suppose -15*x + l = x. What is j(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 10*z - 1. Let y(l) be the third derivative of -l**5\/60 - 7*l**4\/24 - 10*l**3\/3 + 69*l**2. Let k be y(-5). What is q(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 657 and 2966428.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3768794 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**3 - 7244*x**2 + 3725220*x - 3717972 = 0 for x.\nAnswer: -2229, 1, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1277, 5115, 11513, 20471?\n\"Answer: 1280*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 11:46 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 574*f**3 + 2*f**2 + f - 2. Let c be a(-1). Let j = -330 - c. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 0.084?\nAnswer: -0.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 4*l - 5. Let a be h(-6). Let z = -4 + a. Calculate the least common multiple of (-72)\/27*z\/(-2) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -37.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (6 - 3) - 71. Let k = -30 - j. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/(k**(-17)*k)))\/k**(-1\/52))\/(k*k**(1\/26)*k**0*k*k*k) assuming k is positive.\nAnswer: k**(-1093\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*(sqrt(153)*2 + -4 - sqrt(153)))**2.\nAnswer: -384*sqrt(17) + 2702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1)*(3 - 1 - 6)*(-u + 0*u + 2*u)*(-1 + 3 - 1).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1370, 9, -2, -1, 143, -4 in increasing order.\nAnswer: -4, -2, -1, 9, 143, 1370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -m - 5 - 8, 4*m - 11 = o. Let g be 3\/(o\/(-1)) - (-5)\/(-1). Which is the second smallest value? (a) -0.3 (b) 1 (c) g (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a6 (base 16) to base 4\nAnswer: -22212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 2*g**2 - g. Let u be p(-2). Suppose -16 = 3*j + 8. Let x be (3*3\/6)\/((-3)\/j). Solve 0 = u*q + 4*k, -4*k = -x*q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/4, -1, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 196\/(-3) + 85225\/10227?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 11:40 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1191, 1, 3 in descending order.\nAnswer: 1191, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2344178 rounded to three dps?\nAnswer: -2.234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 + 21718*d\/5 - 11869077\/5.\nAnswer: -(d - 21157)*(d - 561)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8\/21 + -5\/12. Suppose -3*t + 6*p = 8*p + 7, 6 = -2*t - 2*p. Which is bigger: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/1)\/(3\/((-9)\/(-2))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 <= 82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 217\/71 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.213 - 0.21298888. Round q to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12408, 12510, 12622, 12744, 12876?\n\"Answer: 5*l**2 + 87*l + 12316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1481160 and 300.\nAnswer: 7405800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.3, 0.5, -0.3998, 7\/3, 18?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24778 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 1 + 16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421*p = -415*p - 6624. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 785082.7 decades to millennia.\nAnswer: 7850.827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2802367 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 3*c + 1. Let v(i) = i**2 + 5*i - 8. Calculate the remainder when j(-5) is divided by v(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 + 27011*c\/2 - 188979.\nAnswer: -(c - 26997)*(c - 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -187*x - 2512. What is v(-14)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31, 46, 59, 70, 79, 86?\n\"Answer: -n**2 + 18*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 - 87 - (38 + 3 + -6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c. Let i be o(-8). Suppose 3*n - 6*n + i = 0. Solve 3*b + n = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11856 and 29328.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.431 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - 2*r + 5*r)*(2*r - 2*r + r)*(1720 - 1720 - 55*r + (1 + 1 - 4)*(-3 + r + 3) + 3*r + 0*r + 0*r)*(-4 + 1 + 2).\nAnswer: -108*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 3*d - 77*d**2 + 238*d**2.\nAnswer: 161*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*f - 16*f - 7. Let j(v) = 3*v - 4. Let a(i) = -5*i + 7. Determine f*j(k) - 4*a(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71562, -71480, -71428, -71406, -71414?\nAnswer: -71452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 18*h**2 + 2*h - 4. Let u be l(2). What is the greatest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*v = 305, -4*u - v + 3*v - 372 = 0. What is the remainder when 312\/28 - 3\/21 is divided by u\/(-25) - (-2)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 5 - 14)*((x + 2*x - x)*(-x - 2*x + x) - x + 2*x**2 + x).\nAnswer: 46*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -69858715.6 + 62\nAnswer: -69858653.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**0\/j*j)\/j)*j)**(-24)\/((j*j\/(j\/j**(-2\/7)*j))\/j**(-25)))**(-41) assuming j is positive.\nAnswer: j**(27757\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 3*v**3 + 3 + 11*v**2 + 12*v - 2*v**3. Let x be m(-10). Is 2 - (1 + (x - 84)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2360 + 0?\nAnswer: -2360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035665 to the power of 1\/2, to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103 divided by 103.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -9697, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + u - 46, 2*s + 2*u = 16 + 16. Let o be 4 - 1152\/(-28) - (-1)\/(-7). What is the greatest common divisor of s and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -169.\nAnswer: 8\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -n**4\/4 - 2*n**3 - n**2\/2 + 3*n - 2. Let c be w(-6). Suppose 0 = 3*a - 63 + c. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = -4*n + 5*i, -n = -3*i + 25 + 59. Let g = -371 - n. What is g rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 - 22*o**2 - 39*o + 122. Give j(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3462825 + -5?\nAnswer: 3462820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64333\/638465 + 76\/857. Find the common denominator of y and -101\/8.\nAnswer: 5960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3264) + (-2*sqrt(3264) - sqrt(3264))*5 - 3*2*sqrt(3264))\/((sqrt(768) - 3*sqrt(768))*-4))**2.\nAnswer: 425\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + (0 - 1\/1). Let k = -135 + 132. Sort c, 3, k in increasing order.\nAnswer: k, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9990 (base 11) to base 14.\nAnswer: 4b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14a0a + 15?\nAnswer: -149f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98267408?\nAnswer: 2, 23, 71, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence viiv when four letters picked without replacement from ivviiiifiiiiiftiit?\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00191 rounded to four dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 6. Sort 2, -5, -8, c in descending order.\nAnswer: c, 2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 14. Let i = -8 + 13. Calculate the smallest common multiple of 82\/i - 4\/j and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-16) + (-476)\/(-672))\/(82\/(-36)).\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 3223?\nAnswer: -3223.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-720))\/(2\/6)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928853819.\nAnswer: 191, 4863109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/2475 and -36\/275.\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than 244\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-14) + (-27)\/(-63). Solve 0*z + 2*z - 4 = h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32 + 14 - 26*q + 18 + (3 - 4 - 4)*(-3*q + 6*q + 4*q) - 3*q - q + 5*q.\nAnswer: -60*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114 - -108. Suppose 0 = 5*m + m - l. Suppose m + 31 = d. Is d a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 - 3*p**3 + 6*p**3 + (6*p**3 - p**3 - 2*p**3)*(-1 + 1 - 5))*(-5 - p + 5).\nAnswer: 13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 k when four letters picked without replacement from wwwkkkwkwwwkwwkwww.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -15*u**4\/4 + 125*u**2\/2 - 6*u + 1. Differentiate t(x) with respect to x.\nAnswer: -90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ede when three letters picked without replacement from {e: 3, d: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 137*c + 5887. What is z(-43)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 10:53 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -589 or -590?\nAnswer: -589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/3, 5\/4, -51 in ascending order.\nAnswer: -51, -11\/3, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 10*y**2 - 25*y + 3. Let c be o(12). Let a(n) = 4*n + 29. Give a(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 54 + 274 = 0. Let n = 22 - w. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 843*c**5 - 25*c wrt c.\nAnswer: 16860*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllwllllllll. What is prob of picking 2 l?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224906322 divided by -5.\nAnswer: 224906322\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*i + 720 = 8*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 5*m = 4*v + 1, -3 = 3*v + 4*m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144 (base 6) in base 16?\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 63.\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118 + -270. Let c = 377 + o. Let x(k) = -k - 8. Let i(j) = 3*j + 23. Give c*x(a) - 4*i(a).\nAnswer: -a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.95 + 60.48. Let m = -162 - -121. Let d = p + m. What is d rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*y - 5*q + 5 = 187*y, 2*q + 10 = 0. Let k(d) = 2*d**2 - 20*d + 32. What is the smallest common multiple of k(13) and y?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -1, -703?\nAnswer: -703","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - -390?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 10560 = -17*h. Suppose -4*x - 839 = -5*s, 4*s - 2*x - h = -7*x. What is the greatest common divisor of s and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 954 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 371 + -372. Let v = 53 + -52.01. Let s = r + v. What is s rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398938787?\nAnswer: 13, 97, 257, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 50 = 5*k, -4*x = 3*k - 0*x + 59. Let q = k + 70. Suppose -q = -4*v + 7. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -1792b3c?\nAnswer: -1792b42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 - 37140*z + 148559\/4.\nAnswer: (z - 148559)*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436 = 3*k + 1153. Is -239 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 7*o**2 - 24*o - 20. Let p(a) = a**3 + 8*a**2 - 24*a - 19. Let t(b) = -5*d(b) + 6*p(b). Is t(-14) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -15 - 42 - -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 2*d + 8. Let a be 4\/(-1)*(25 + -10 + -14). Let l(n) = -n**3 - 2*n - 7. Give a*l(x) - 3*b(x).\nAnswer: x**3 + 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -30*n + 1270. Calculate the remainder when o(-24) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 927 + 3\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11*c. Let v(h) = 15*h + 2. Let o(z) = -4*r(z) + 3*v(z). Let l(m) = m**2 + 5*m - 2. Let w be l(-6). Let g(d) = d + 5. Calculate w*o(a) - 5*g(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**2 + g**2 + 0*g**2 + (-18*g - 216 + 216)*(4579 - 389*g - 4579 + (-1 - 1 + 1)*(-g - 4*g + 3*g)) to the form w*g**2 + b + a*g and give w.\nAnswer: 6967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)\/(-1*sqrt(4)) - ((sqrt(280)*-2)\/sqrt(7) + sqrt(40)))\/(5*2*sqrt(512)) + -1)*-6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + v**3 + 3*v**2)*(-79 - 6*v + 79) + (2*v - 10*v**4 - 2*v)*(-1 + 1 + 2)*(5 + 2 - 4).\nAnswer: -66*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1300 is divided by 547.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 6*p + 6 = 0. Solve p*v - 8 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + b - 20 = 2*w, 2*b - 8 = 0. Suppose 0 = d - 2*d - w. Let r be 38\/10 + d\/5. Solve 6 = r*g - g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o + 15*o - 210 = -23*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.46 - -0.04. Let m = -9464 + 9463.6. Which is the closest to 2\/7? (a) y (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + 465245?\nAnswer: 465255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**3 - 4*b**2 - b - 3. Let f be a(-3). Calculate the highest common divisor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68ca (base 16) in base 13?\nAnswer: c297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.05 + -3. Let a = i + 0.75. Let s = a + -0.826. Round s to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29051232.\nAnswer: 2, 3, 7, 17, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(((h*h**(4\/5))\/h)\/h))**(-22))**(-4) assuming h is positive.\nAnswer: h**(528\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - 152 = 545 - 35 + 313 for g.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 399376082?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p - 516 + 566 = 0. Let w(d) be the first derivative of -3*d + 3 - 13\/2*d**p. Let b(h) = -3*h - 1. Determine 9*b(q) - 2*w(q).\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*f - 3*c, 0 = 2*f + c + 2*c + 25. Let l(i) = 17*i**3 + 1. Let a be l(1). Put f, a, -1 in ascending order.\nAnswer: f, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 16) in base 3?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, -1 in decreasing order.\nAnswer: 2, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -38. Let q(l) be the third derivative of -1\/120*l**8 + 0*l**4 + 0 - 4\/175*l**7 + 0*l**3 + 1\/75*l**5 + 6*l**2 - 1\/100*l**r + 0*l. Factor q(a).\nAnswer: -2*a**2*(a + 1)**2*(7*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1640 + 2018. Let u = 5 + 9. Calculate the highest common factor of u and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46158435 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) -1\/7 (b) 0 (c) 1\/4 (d) 1\/80815\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**7\/120 + z**5\/12 - 4*z**3\/3 - 4. Let f(g) be the third derivative of h(g). Find the second derivative of f(t) wrt t.\nAnswer: -42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9979.995 millennia?\nAnswer: 9979995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**4 + 2*g**4 + g**4)*(4*g - g - g) - 400*g**4 - 7 + 400*g**4 + 6*g**5.\nAnswer: 8*g**5 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence occc when four letters picked without replacement from bobolozllocclcllooo.\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/10)\/((-240)\/80*(-2)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3386, 12077, 26074, 45377, 69986, 99901, 135122?\nAnswer: 175649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10274 = 14*p + 656. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v - 8. Suppose 8*n = -17 + 177. What is the greatest common divisor of n and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from -146435726263.\nAnswer: -146435726262.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -11 - (-112 + 108)) + 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2225994 + -3140434. Round j to the nearest ten thousand.\nAnswer: -910000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2400006, 2400019, 2400054, 2400123, 2400238?\nAnswer: 2400411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q. Let s(k) = 12*k - 8. Suppose 0 = 2*o + 2*o - 32. Let b(m) = 4*m - 3. Let v(g) = o*b(g) - 3*s(g). Give v(u(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 467, 935, 1403, 1871, 2339, 2807?\nAnswer: 3275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**2 - 4*a**2 + 48*a**2 + 45*a**2.\nAnswer: 77*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 4*a. Solve -5*o + 15 - 20 = a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10977283*o**4 - 14782716.\nAnswer: 43909132*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*g - 527*g - 157*g.\nAnswer: -785*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.008 in 16, -1\/43, 0.3, 2?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 + 180*l**3 - 1790*l**2 + 3060*l - 1445.\nAnswer: -5*(l - 17)**2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, f: 4, c: 1, q: 4, l: 7, g: 1}. Give prob of sequence cg.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v**3 - 4*v**3 - 3*v**2 + 0*v**3 + 1 + v in the form x*v**3 + m*v**2 + f + d*v and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*s + 627*s - 120*s - 135*s - 130*s - 114*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 2\/99, 0.1, -34, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -355713 - -3?\nAnswer: -355710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 + 161 = 2*k. What is the greatest common factor of 171 and k?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3 = 0, 7*c = 24*c - 21*c - 2*g + 38 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + c + 20. Let d(l) = l**2 + 2*l + 2. Let k be d(c). Suppose 5*j = 20 + k. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 20*h**3 - 4*h**2 + 6*h**2 + h**2.\nAnswer: -20*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37525344*r**4 + 22849944 wrt r.\nAnswer: -150101376*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.3 - -0.3. Let x be -18 + 20 - (-38)\/(-2)*-3. Let o = -117\/2 + x. Which is the closest to o? (a) -0.1 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -67. Let a = 53 - b. Put -1, -4, 4, a in decreasing order.\nAnswer: 4, a, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97 + 90. Let m(l) = -l**3 - 9*l**2 - 19*l - 33. Let u be m(y). Solve u*z + 35 = 29 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2759 = -100001*j + 99912*j for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q + 90 = 10*q. Let c = 56 + q. Let i = 61 + c. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/10 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 12 = -a, 5*a + 6*d - 18 = 2*d. Differentiate -2*k**a + 8*k**2 - 3*k**2 + 6 + 3*k**2 wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzpzppzzzpzzzzozppz. What is prob of sequence zz?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(19) + 1 + sqrt(19) + sqrt(38)\/(sqrt(12)\/sqrt(6)) + sqrt(19).\nAnswer: 5 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 5*o**2 - 3*o + 2. Let h be x(4). Let y = -3 + h. Factor 2*v**3 - 2*v**3 - v**4 - 2*v**y + 4*v**3.\nAnswer: -v**3*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1872) - (2 + sqrt(1872)*2))**2 + 2)*6 + 1.\nAnswer: 288*sqrt(13) + 11270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/306 and 11\/510.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 7. Let x(k) = k**2 - 3*k + 3. Let i be x(g). Suppose 2*h + 2*h - 32 = 0. Solve -h*w + 5 = -i*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -135000 - 1800*y**2 + 50*y**3 - 1\/2*y**4 + 27000*y.\nAnswer: -(y - 30)**3*(y - 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1032300007?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29280845?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6882 or -27527\/4?\nAnswer: -27527\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 23*x**5 + 18*x**4 - 250*x**3 - 240*x**2 + 227*x + 222 = 0.\nAnswer: -3, -1, 1, 74\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 80*k. Let v(y) be the first derivative of 7*y**2 + 2618. Calculate f(v(m)).\nAnswer: 1120*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33839, -67683, -101527, -135371, -169215, -203059?\n\"Answer: -33844*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 115928156 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 954a?\nAnswer: -9543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -6*m - 9. Let k = 12 + -12. Suppose k = -m*a - 117 - 363. What is a rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 48*a + 46*a - 11 = -11*m, 69 = -27*a - 63 - 138 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in 2, -8, 13\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 - 13*y - 5*y**3 - 9*y**4 + 11*y**4 - 43*y as u*y + s*y**2 + w*y**4 + i*y**3 + v and give u.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 6. Let a be m(6). Suppose 3*r = -0*r + a. Suppose 0 = n - 3*n - 4, -2*u + 64 = r*n. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - f = 40, -4*x + 16 = 4*f - 16. Let v be (-2)\/(1*(-1)\/(-7)). Let y = v + 34. Calculate the least common multiple of x and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cff when three letters picked without replacement from {f: 5, g: 2, c: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2. Let r = -4 + 6. Suppose -5*w - 2 = 4*u - 8, 0 = 3*u + 3. Let d(p) = -4*p**2 + 4*p**w - 5*p**2 + 2*p**r. Calculate z(d(o)).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 940939961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 33 + 33 - 102 - 45*r.\nAnswer: -45*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 2 - 2)*(1 + 2 + 9) + (-5*s - 2*s + 6*s)*(3 + 1 - 2).\nAnswer: 46*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*a + 11*a - c + 12, 28 = 5*a + 2*c. Solve -4 = -a*k - 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**2 - 4020*y - 808020 = 0.\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l**3 - 2*l**3 + 2*l**3)*(0*l + 3*l - 2*l) + (24 - 24 + 5*l**2)*(-l**2 - 2*l + 2*l))*(-65 + 22 - 143).\nAnswer: 558*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2 + 5*s - 1. Let k(q) = 9*q**2 + 9*q - 2. Calculate 6*k(n) - 11*y(n).\nAnswer: -n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - -200100000?\nAnswer: 200100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from {q: 2, r: 1, z: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -826*l**6 - 4*l**2 + 550.\nAnswer: -99120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3070 or -3477?\nAnswer: -3477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 37*z + 446. Determine u(-40).\nAnswer: 566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/190 and -49\/14464895?\nAnswer: 549666010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by 207.\nAnswer: -70\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -11*p**2 - 599*p - 1215. Calculate x(-2).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 130278495 and 1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = -0*p + 196. Suppose 6 = 5*i - 3*o - 5, p = 4*i + 4*o. Let s(w) = -20*w**3 - w - 1. Let t be s(-1). Solve -i*k - t = -8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -6. Let x = 0 - 2. Let v = 5 - 0. Which is the second biggest value? (a) v (b) x (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434124931 to the power of 1\/2, to the nearest integer?\nAnswer: 20836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.3. Let c = 0.4471 - 940.1971. Let n = -940 - c. Do n and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-517)\/(-188))\/(1\/660)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -2*h - 54. Let t be (-12)\/(3 - h\/12). What is the greatest common divisor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a5b7 (base 16) to base 2\nAnswer: -1010010110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 101580*b + 406158. Determine w(-4).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1622*u + 1390*u + 991*u + 36432 = 0 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -2*b**2 + 0*b**3 - 1\/60*b**5 + 30*b + 7\/24*b**4 + 0. Let v = -4 - -10. Calculate w(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56354*d**5*q + d**5 - 101*d**2*q + 35*d*q wrt d.\nAnswer: 3381240*d**2*q + 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i**3 + 4*i**2 - 4*i - 4. Let r(h) = -18*h**3 - 7*h**2 + 7*h + 7. Calculate 7*a(u) + 4*r(u).\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1799*d + 1828*d - 3627*d + 2*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b. Let c(m) = 9*m - 17*m + 9*m. Calculate i(c(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {p: 4, l: 1, g: 2, k: 4, w: 6, a: 3}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1591 - 291.\nAnswer: -291.1591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 1 = -4. Let p = 13 - u. Calculate the greatest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {r: 3, f: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-68985)*-9*60\/24\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8533271 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 3, -0.1, 1.8, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8347964 = -45*g - 2261838 + 5810929. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y - 25*y + 9*y + 8*y + 3. Determine x(11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -803653 (base 9) in base 7?\nAnswer: -4016112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 14 = 3*v + 2*q, q - 13 = 3*v. Let r(n) = n**2 + 3*n - 2. What is the smallest common multiple of 6 and r(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*y - y. Let q be (1\/1)\/((-4)\/y). Let i = -0.2 - -0.2. What is the nearest to i in -0.4, 3, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 221.6 - 221.3887. Let k = -3.99 + 4.2. Let v = k - i. Round v to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2479 * 57.\nAnswer: -14.1303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11673*r + 5840*r + 5848*r.\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 243 = -45. Let i be (35\/14 - 5)*(-54)\/(-5). Let w = q + i. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 446.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + -17 - -17 - (-8 + -3)) + -63?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.3 + 29.3. Which is the third biggest value? (a) z (b) 1\/151 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.451749 + -1595\nAnswer: -1577.548251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -45, -46, -33, -6, 35?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 146 + -145. Suppose -3 = -2*o + 1. Solve z = -p + o*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-5)*5*174\/1160?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5588 - 6.\nAnswer: 5582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1906 - -11437\/6. Solve 0*m - 1\/6 + h*m**2 = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 23.6 (b) -4\/5 (c) -2 (d) 1\/6 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a year in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 5*n**2 - 2*n + 1. Determine s(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10578 is divided by 9900.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 51, 0.1, 2\/9, -186, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/34 - 435\/1530\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*p - 236 + 158 = 0. Let j = 112\/255 + -2\/51. Determine s so that p - 8\/5*s - j*s**2 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 4. Let t(p) = -p + 5 - p + 5*p**2 + 4*p + 3*p - 7*p**3. Let z(d) = -8*d**3 + 6*d**2 + 6*d + 6. Let k = -260 - -265. Determine k*z(g) + l*t(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b15b9a + 4?\nAnswer: -b15b96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.64 + -4.64. Let z = -1.09 - -4.09. What is the nearest to 2\/13 in n, 4, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-1) - (1 - 3). Let r = -10 + 16. Suppose 2*x - r = 0, 5*z - 5 = -0*z + u*x. Calculate the remainder when z is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, v: 1, p: 2}. What is prob of sequence vvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (3*sqrt(80)*2 + sqrt(80)))\/sqrt(5))\/(-4*sqrt(88)\/(-3*sqrt(11))).\nAnswer: -9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12640236 (base 7) to base 13.\nAnswer: 31c37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 70 = 4*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((4*-5*sqrt(144)*-3)\/(sqrt(300)*-1 - 4*(sqrt(12) - sqrt(60)\/sqrt(5))))**2*4.\nAnswer: -41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c + 13. Let h = 954 + -912. What is the smallest common multiple of h and o(10)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63 - 63 - 9*f + (2 + 4 - 3)*(5*f - 5*f - 2*f) - 5*f + 0*f + 6*f.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28002318?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b = -4*g - 20, -4*g + 372*b - 374*b + 12 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/200200 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -38, -75, -98, -101, -78?\n\"Answer: s**3 + s**2 - 47*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10068 - 8759. What is the smallest common multiple of 154 and h?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4574566 milligrams in tonnes?\nAnswer: 0.0000000004574566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*s + 3, 4*y - 3*s - 5 = 0. Suppose p = -4*o + 7, 0 = -3*o - y*p + 6*p + 10. What is the least common multiple of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 (base 9) in base 11?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.777348 decades?\nAnswer: 213.28176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*q - 59*q + 865 = 6976 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20014, -19809, -19580, -19315, -19002, -18629, -18184, -17655?\nAnswer: -17030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 32 = -4*u, -7*h = -2*h. Suppose -3*v + u = -4*k - 12, -v - 2*k = 0. Solve 2*z = 2*y - 14, -4*y = z + 3*z - v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - t - 1. Let n(u) = 3*u**4 + 4*u**2 + 4*u + 19. Let h(f) = n(f) + 4*o(f). What is the first derivative of h(y) wrt y?\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26251 (base 12) in base 8?\nAnswer: 145735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 5*w = 4*p + 7, p + 4 = w. Let m = 2 - 4. Let d = 597 + -597.4. Which is the smallest value? (a) w (b) d (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + 7 + (-3 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/4 and 113\/372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = 51*r - 2688. Calculate the greatest common factor of r and 52080.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 47837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3*(-7)\/(-6). Let h = p - -1\/90. Let x = 0.7 + -0.5. Which is the third biggest value? (a) h (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f + 25*f**2 - 26*f**2 + f. Let d be j(-2). Find the third derivative of g**4 + g**2 + g**4 - 3*g**2 + 5*g**d wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 - 4*m + 4. Let o be h(3). Let l = o - -59. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-159)\/(-39) - 4)*-1 - 5252\/(-169)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -0.199, -72, 2 in decreasing order.\nAnswer: 2, 0.02, -0.199, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + j**4 - 1 + (j + 0*j + 0*j)*(3*j**2 - 2*j**3 - 3*j**2) + 2*j**4 + j**4 - j**4 + 6*j - 13*j**4 - 6*j + 3*j**4 - 3*j**4 - 2*j**4.\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(56) - sqrt(1400))*2)\/(sqrt(72)\/sqrt(81)))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -12462 + 12462 - n. Let y(b) = 1210*b. What is v(y(d))?\nAnswer: -1210*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -o - 3*o - 121, 617 = 209*h - 368*h - 5*o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.18598ug to milligrams.\nAnswer: 0.07118598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, -4, 9 in ascending order.\nAnswer: -6, -4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3)*y)\/y**1)**(2\/3)\/(y**2\/((y*y\/y**(-7))\/y))**(15\/7) assuming y is positive.\nAnswer: y**(838\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - b = -0*j + 4*j + 179, -105*j - 31*b = -108*j - 236 for j.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46.7 + -55. Let r = -8 - v. Let u = r + -0.2. Which is the closest to 0.1? (a) -0.2 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/7228 - -8581\/16263. What is the common denominator of o and 6\/(-10)*(-7 + (-150)\/(-108))?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t + 15. Let p(v) = -v - 6. Let f(q) = -2*l(q) - 5*p(q). Let w(n) = -2*n**2 + 2. Calculate w(f(i)).\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 133104 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*k - 48 = 0, -f = 2*f - 5*k - 75. What is the greatest common factor of 75 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 93156*n + 10. Let u(w) = 2*w. What is m(u(k))?\nAnswer: 186312*k + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911 is divided by 84.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 406*i**3 + 6092*i**2 + 25*i + 12. Calculate a(-15).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -5*t - 200. Let w be (6\/t)\/(-1)*(-40)\/(-390). Sort 1, 5, 1\/2, w in decreasing order.\nAnswer: 5, 1, 1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1122*c - 1337 + 394 = 8139 + 4382 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -2 (c) 23 (d) -6\/11 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 + 248 - (57 + -65) is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 446?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 12:29 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 251.723461 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19723?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*-2*sqrt(84))\/(4*(sqrt(12) - (sqrt(72)\/sqrt(6) + sqrt(12))) - sqrt(12)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 72?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 5\/2, -0.5, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y - 2*q + 26 = 0, 5*y = -5*q - 25. Let x = -2 - y. Suppose x*l = -5*c - 25, -20 = 5*c + 3*l - 0. Let f(w) = -10*w - 1. Give f(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1191 take away -5?\nAnswer: -1186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.639 (b) 3 (c) 1798 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1746 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 10237*g**2. Let o(x) = 4*x. Calculate o(w(z)).\nAnswer: 40948*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 31. Let p be (-3 + l)\/(5 + -6). Suppose 0 = j - 5*i - 31, -3*i - 5 = p. What is the highest common divisor of j and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w. Let f(v) = 2*v**2 - v + 1. Let u be f(1). Let z(r) = 2*r**2 + 0*r**2 - 2*r**2 + u*r**2. Give z(j(b)).\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 a, and 1 t when four letters picked without replacement from {z: 1, s: 4, a: 2, t: 1, p: 9}?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036.150731 milliseconds in weeks?\nAnswer: 0.0000017132121875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 31 = -5*h, -2*b - 3*h = -b - 13. Suppose 2*c - 62 - b = 0. What is the smallest common multiple of c and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3233*g**5 + 2*g**4 - 3764*g - 1?\nAnswer: 64660*g**3 + 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -10*i - 7. What is the tens digit of h(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 - 67. Solve 0*n + n = -5*i - 1, -3*n = -b*i - 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, b: 2}. Give prob of picking 1 b and 2 t.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*z - 2. Suppose -114 = -z*w - x, -5*w + 5*x = -86 - 34. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (11 - (-1 + 6 + -2))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -65*x**2 - 422*x + 24. Let s(a) = -2*a**2 - 3. What is k(s(r))?\nAnswer: -260*r**4 + 64*r**2 + 705","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*a**3 - 34*a**2 - 10*a**4 - 19*a**2 + 11*a**4 - 35*a + 1 + 58*a**2 to the form x*a**2 + w + r*a + i*a**3 + s*a**4 and give r.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -286*b**2 - 291*b**2 + 579*b**2 + 2 in the form i*b**2 + g*b + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3) + (200\/(-45) - -5). Suppose 0*r + 10 = -5*r. Let d be (6\/(-2))\/3 + -6. Which is the nearest to r? (a) d (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 8\/3, -0.66, -3\/4, 8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-5)*(24 - -1). Let z = g + -13. Let s = -170 - -174. Calculate the lowest common multiple of s and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*m**2 + 2*m - 2*m + (4*m - 5*m - m)*(-3*m + 5*m + 0*m).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*36\/(-297)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 + 22*c - 15*c)*(311*c**2 - 311*c**2 + 18*c**3).\nAnswer: 126*c**4 + 108*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o + 12. Let y(t) = -2*t + 1. Let p(x) = -q(x) - y(x). Let j be p(-4). Solve 0 = -0*a + 3*a - j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000488 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21259431\/16 + 1327379. Let b = h + 1335. What is the common denominator of b and (-114)\/(-30)*(-15)\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * -959.7\nAnswer: 767.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21*(1 - 0)\/(-1). Calculate the remainder when 70 is divided by 21\/2*(-36)\/w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1124997 - -4?\nAnswer: 11249a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 plus 186?\nAnswer: 186.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 286 = l + 10*d, 5*l + 5*d = 1430. Calculate the least common multiple of l and 60.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-6))\/(2\/18). Let u(p) be the second derivative of -1\/6*p**c + 0 + 1\/6*p**4 + p + 0*p**2. What is the second derivative of u(z) wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 3. Let q(h) = -19*h + 1. Let z be q(y). Suppose 0 = -4*f + 8*f - z. What is the remainder when 14 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -428261?\nAnswer: 428258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6 and -18610809.77.\nAnswer: -18610810.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**4\/6 + y**3\/6 - 11*y**2\/2 + 10*y. Let r(z) be the first derivative of t(z). Give r(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 g, and 1 j when four letters picked without replacement from zijzmgkjkikijg.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*n*p**3 + b**3*n*p**2 - 2*b**2*n*p**2 + 7*b*n*p**3 + b*n*p + 3*n*p**3 - 11 wrt p?\nAnswer: -12*b**3*n + 42*b*n + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c - 31. Let d be g(-11). What is the third derivative of -11*k**6 - 3*k**2 - 18*k**6 + 13*k**d + 5*k**2 wrt k?\nAnswer: -3480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 51*n + 2. Let s(x) be the second derivative of 5*x**4\/24 + 106*x**2 - 166*x. Let r(v) be the first derivative of s(v). What is r(t(j))?\nAnswer: 255*j + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6787354?\nAnswer: 2, 7, 37, 13103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1001 - 917. What is the highest common divisor of c and 966?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98.4146*112\nAnswer: -11022.4352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*d - 20425 = -172*d - 148*d - 105*d for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5491*m. Let h(x) = 3*x**2 + 12. Give h(a(q)).\nAnswer: 90453243*q**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-2 - (-2)\/4). Let s be (3 + -3)\/(22 - 24). Which is the second smallest value? (a) 5 (b) -0.2 (c) s (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 - c - 14. Give d(6).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfmumfzmzmmmmumkuuu. Give prob of picking 1 f and 1 k.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8\/(-20) - 0)\/(9\/(-16695)) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1266 or -1272?\nAnswer: -1272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-46730.\nAnswer: 14019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.346 + -0.054. Which is the second biggest value? (a) d (b) 10 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4658287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*v - 4*m, 3*m + 0*m = 5*v + 6. Suppose -2*p + d + 281 = 102, v = 2*d + 2. List the prime factors of p.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29585 - -20707. What is s rounded to the nearest one hundred?\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from guuugguggugug. Give prob of sequence ugug.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-408)\/(-816) - (-1374*(-8)\/(-160) + 2\/10).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.1 + -1.575.\nAnswer: -11.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:53 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhotujv. Give prob of picking 1 u and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 1019, -1, -148, 2 in ascending order.\nAnswer: -148, -44, -1, 2, 1019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1) + -1 + -2. Let d be 3\/5*(-4)\/6. What is the nearest to d in -2\/3, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 10053 = n, -n = 4*n + 15. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 12*l**3 - l**2 + l. Let p(f) = f**3 - f**2 - 3*f - 4. Let m be p(3). Suppose -4*g = -m*g + 1. List the prime factors of i(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77153\/65 + -1187. Is i < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -300873000 to the nearest one million.\nAnswer: -301000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**3*l - 115*i**3 + 6*i**2*l + 4*i**2 - 2405*i*l - 3*i - 3*l + 11 wrt l.\nAnswer: i**3 + 6*i**2 - 2405*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from {g: 5, j: 1, i: 6, o: 1, a: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 60 = -3*u. Let j = 33 + u. Suppose 0 = 9*d + 622 - 649. What is the greatest common factor of d and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 11:39 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1460*u**2 + 8*u. Let o(a) = -1460*a**2 + 7*a. Give 6*o(b) - 5*w(b).\nAnswer: -1460*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -72, -76, -68, -42, 8?\n\"Answer: s**3 - 11*s - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcluuppluupupuucu. Give prob of picking 2 c and 1 u.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 4:16 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*m**3 + 3*m**5 - 14920*m**2 + 14759*m**2 + 6*m**5 wrt m.\nAnswer: 540*m**2 + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2*7*(-12)\/(-42).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooor when four letters picked without replacement from ooooooooooooooooooro?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2\/7 - 3218*f\/7 + 3912.\nAnswer: -(f + 652)*(5*f - 42)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*r - 60. Suppose 5*p = -20, -4*g - 18 = 5*p + 2. Suppose g = -2*a + 6*a - 12. Solve -a*c - r = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*f**5 - 19450*f**4 - 2*f**3 - 1530227*f**2 wrt f?\nAnswer: 2340*f**2 - 466800*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 244 and 28517622.\nAnswer: 57035244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47076906.\nAnswer: 2, 3, 23, 89, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505350231?\nAnswer: 3, 83, 271, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41496 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1026 - -42.028.\nAnswer: -983.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1920)*-1*4)\/(sqrt(90)*-2*6).\nAnswer: 8*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 1359 + 1356 = 2*x, -3*b + 27 = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/9*(0 + -3). Suppose -n*u + u = -56. Suppose -6 = -k - 2*h, 4*k - u - 22 = 4*h. Solve -v = v - k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**7\/40 + w**5\/40 - 33*w**4\/8 - 4*w**3 - 55*w. Let m(j) be the second derivative of l(j). Differentiate m(q) wrt q.\nAnswer: -63*q**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 - 3*k**2 - 4. Let m be a(-3). Suppose -21*r = -m*r + 8098. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -24759*b + 21. Let t(z) = -404396*z + 342. Calculate 114*j(c) - 7*t(c).\nAnswer: 8246*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3 - ((0 - -6) + -1)) + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 55, 6, -0.7, 2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175*c**6*z**2 + 2*c**4*z**2 + 24*c**2*z**2 - c**2 + 9*z**2 wrt c.\nAnswer: -21000*c**3*z**2 + 48*c*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 271*t**4 + 3*t**3 - 2888*t**2 wrt t?\nAnswer: 6504*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**2 - 1 + 3 - 10*f + 7*f - 6*f**4 + 2*f**3 - 2*f**2 to the form p*f**2 + c*f + i*f**4 + a*f**3 + r and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + -1 + 5.\nAnswer: 4 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-147))\/(5562\/1442)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -648, -1306, -1974, -2658, -3364?\nAnswer: -4098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456103592 to the power of 1\/2, to the nearest integer?\nAnswer: 38159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (12\/3)\/4. Suppose 0 = q - w*c - 16, -3*c = q + c - 24. Solve -4*d - 4 = -5*j, 2*d + 2*d = -j + q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 4 (b) -5 (c) 2\/11 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7914 and 0.3.\nAnswer: -2374.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (188\/(-63) - -2) + 3 + -2. Let i(q) be the second derivative of -1\/30*q**5 + 0*q**3 + 1\/45*q**6 + 0*q**2 - 1\/18*q**4 + y*q**7 - 2*q + 0. Factor i(d).\nAnswer: 2*d**2*(d - 1)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a**2 - 7*a**2 + 2*a**3 + 5*a**2.\nAnswer: 2*a**3 + 20*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 583018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 71, 135, 195, 251, 303, 351?\n\"Answer: -2*s**2 + 70*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/834464 and 81\/2930.\nAnswer: 4172320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(98) + 3 + 5 - (sqrt(162)*2*-5 + 1))**2.\nAnswer: 1164*sqrt(2) + 18854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*7 + -10 + 13. What is the first derivative of -14*u + m + u - 1 - 3*u wrt u?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -524 + 527 - (3 + 1 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1376*c**3 - 58*c - 1354*c**3 - 1346*c**3 + 4075*c**3.\nAnswer: -c**3 - 58*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k**2 + 5*k**2 - 12*k**3 + 2*k**3 - 31 + 17 + 15 as b*k + c + s*k**2 + h*k**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487304.\nAnswer: 2, 60913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 10\/(-4))*2*157. Suppose 151*w - f*w = -1482. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from eeddglehoeeheehoe?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.9 - -0.9. Let a = v - -4.4. Sort -1\/6, -0.2, a in ascending order.\nAnswer: -0.2, -1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 c, and 1 m when three letters picked without replacement from aqmmcqwcvcqwqqcmmww.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 472 = 5*j, -452 = -3*q - j - 4*j. Suppose g = -0*g. Suppose 0 = -g*z + 2*z - q. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 12:33 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1001532861.\nAnswer: 3, 7, 23, 691189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1587 = -4*v - 18*b - 1625, -v - b - 6 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112160761.\nAnswer: 61, 1103, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 0 + 1 + 13*s + s**2 - 1 - 31*s + 1. Let p(c) = -c**2 + 19*c - 1. Calculate 6*p(g) + 5*u(g).\nAnswer: -g**2 + 24*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/490 and 9\/8390.\nAnswer: 411110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119591.\nAnswer: 119591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(36\/3 + 0). Is (b\/(-15))\/((-4)\/(-70)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 13, u: 3}. Give prob of picking 4 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333664714?\nAnswer: 2, 4639, 35963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9426\/7 - 47491\/42. Let s = -2581\/12 + p. Factor 0 - 3\/4*q**2 + s*q.\nAnswer: -3*q*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -4 in increasing order.\nAnswer: -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.0999438 + 9.1. Round h to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -190, -1, 1 in descending order.\nAnswer: 1, -1, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 23 - 67. Suppose -2*s + j = -d - 14, 4*d = -2*s + 20. Suppose h + 2 = 16. Calculate the lowest common multiple of h and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 + 12 + 158 - (-4 + (3 - 5))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -226, -211, -194, -181, -178?\n\"Answer: -b**3 + 7*b**2 + b - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6141162 (base 7) to base 12\nAnswer: 2b4059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**3 - 10*u**2 + 20*u - 18. What is the remainder when r(5) is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3b1 (base 16) to base 11\nAnswer: 78a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 205448079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*v - 23. Suppose -v - 25 = -2*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 97, -63\/11?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + (-30 - -26) + 0 + 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/13)\/((-5)\/(-10)). Let y be 0\/(-1 - 2 - -1). Which is bigger: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 c when four letters picked without replacement from wwccbcccz.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -8.8. Let f = c + -1.29. What is f rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.683 plus -1?\nAnswer: -53.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*d*f**2 - 8143589*d - 31857*f**2 + 60*f wrt d?\nAnswer: 4*f**2 - 8143589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 44 = -8*f - 50. Put 8, -4, 2, -10, f in ascending order.\nAnswer: -10, -4, f, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -9*b + 14 + 24, 0 = q - 2*b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 - (-200)\/32)*-4. Put y, 8, 5 in descending order.\nAnswer: 8, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**3 + 0*i**2 + 2*i**2 + i**3 + 3 + 2*i**3 in the form o*i**2 + u + b*i**3 + a*i and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.53 (b) 14 (c) -280\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -31\/138365 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 86 (c) -14912.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6*o + 9*o = 44, -2*x + 56 = -3*o. Let g(f) = 5 - x*f + 7 + 23*f + 0. Calculate g(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**4\/12 - 5*t**3\/6 + t**2 - 9*t + 5. Determine j(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + sqrt(637) + 1 + ((sqrt(104) - -3*((sqrt(104) - (sqrt(104) - (1*sqrt(104) - sqrt(104)))) + sqrt(104)))\/(sqrt(968)*2 - sqrt(968)))**2.\nAnswer: -276\/121 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 491*l**3 - 18.\nAnswer: 1473*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90276?\nAnswer: 2, 3, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 187*z + 22570. What is r(161)?\nAnswer: 835","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10843646 is divided by 188.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/2*24\/30. Suppose -4 = 2*k - t*k. Sort -1, k, 3 in decreasing order.\nAnswer: 3, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/5)*k)\/k)**(-43) assuming k is positive.\nAnswer: k**(-129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 5*y**2 + 5*y + 1. Let r be f(-4). Let p(j) = -8 + 1 + j**2 - 3*j - 8*j + 10*j. Let v be p(r). Put 3, -3, v in descending order.\nAnswer: v, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 21*t**2 + 4*t + 3. Let k be j(-3). Let h be (-432)\/7 - (k\/42 - 4). Let p = h + 68. Solve m - 3*f + 1 = -1, -3*m + 3*f = -p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 6*m**2 - m - 2. Let o be y(-6). What is the highest common factor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2 - 102*o + 106. Let r be h(-35). Let x be ((11\/(-2))\/11)\/((-1)\/(-3)). Which is the third biggest value? (a) 0.5 (b) x (c) 4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 + 10.99. Let m = -9 + v. Which is the nearest to -1\/4? (a) 2\/7 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, 7, -2 in descending order.\nAnswer: 11, 7, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, -3\/2, -14?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 928*p**4 + 10643*p**2 + 92245144*p?\nAnswer: 11136*p**2 + 21286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -12*r - 248. Let u be o(-37). Let g(y) = -10*y - 12. Let n be g(-4). What is the greatest common divisor of n and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 8, -6, 3.\nAnswer: -7, -6, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -21665?\nAnswer: -21664.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -41669*i + 3. Let y(p) = 14*p. Calculate y(u(r)).\nAnswer: -583366*r + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 4. Suppose -3*w + 0*w = -33. Solve 0 = -5*r + 2*m - 4*m - w, 0 = g*m + 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**2*k**3*u - 29*d**2*k**2*u**2 + 54*d**2*k**2*u + 3*d**2 + 1165*d*k**3*u**2 wrt k?\nAnswer: -6*d**2*u + 6990*d*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 3 = -3*d - 4*z, 4*d - 4*z = 20. Calculate the remainder when 18 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3\/4 (b) -5\/6 (c) 2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p + 3. Suppose 4*i = d - 4, -4*d + d - 3*i = -12. Suppose 1 = o + c, 2 = 2*c + 6. Let b(f) = -4*f - 3. Determine d*b(h) + o*x(h).\nAnswer: -h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*6\/27 + (-148)\/18. Let f(g) = -2*g**2 - 14*g - 14. Let j(d) = 2 - 5*d + 0*d - 7 - d**2. Determine p*j(q) + 3*f(q).\nAnswer: 2*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12 * 8124\nAnswer: -97488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -4, -7, 3, 33.\nAnswer: -20, -7, -4, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/30837 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000062 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2*(-12)\/(-2667). Let f = 199\/254 + c. Find the common denominator of f and ((-142)\/5)\/((-16)\/(-20)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 932 at most 932?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h. Let y(u) = 2*u**2 - 4*u. Let t(n) = 4*c(n) + y(n). Let a(b) = -177*b - 2 + 183*b + 2. Give t(a(d)).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/8, -685378, -133?\nAnswer: -685378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 5*v - 1167*v**2 + 0*v.\nAnswer: -1167*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 105*p**2 - 6501275*p - 619170 = 0.\nAnswer: -2\/21, 61917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -3 + 0*v**5 + 0*v**2 + 0*v**6 - 1\/3*v**3 + 0*v + 0*v**4 + 1\/7*v**7. Find the third derivative of i(f) wrt f.\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6203379, -1 in descending order.\nAnswer: 6203379, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000195865 rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/30*(260\/6)\/13.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*123\/((-100491)\/(-43)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {a: 1, m: 2, q: 1, v: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 + 28*a - 2.\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 586516379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8089, -8093, -8099, -8107, -8117, -8129, -8143?\nAnswer: -8159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24439680 and 25?\nAnswer: 122198400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d - 48. Let a be l(-8). Let x be (2 + (-3 - 30))\/(a + -1). Let g be (-4 - -3)\/(1\/(-31)). Calculate the highest common divisor of x and g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7668983141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234*w - 1070 = -134. Solve w*h - 4*c - 10 = -2*h, 2*h - 3*c = -5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -73407 in ascending order.\nAnswer: -73407, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/67888336 and -23\/208.\nAnswer: 882548368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2389380 divided by -199115.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1564 + j**2 + j**2 - 1564.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*f + 1014 = 70*f. Suppose -43 = 14*k - f. What is the greatest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/(-44))\/(2\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*q - 9 = -44*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0129 + -1.3829. Let p = x + 1.43. Put 3, -6, p in descending order.\nAnswer: 3, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700600 rounded to the nearest ten thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 101 = -5*v, -y - 7011*v = -7015*v - 88 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1 = 4*f. Let z(j) = j**2 - 7*j. Let s be z(8). Let c(r) = -15*r - 8*r - 1 + 30*r - s*r. Let o(m) = -14*m - 14. Give f*o(h) + 12*c(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -38, -573, -2098, -5117, -10134, -17653, -28178, -42213?\n\"Answer: -84*r**3 + 9*r**2 + 26*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*t + 81, 26*i + t = 27*i - 19. Suppose 11*u = i*u - 30. Let l be 1 + -1 + 21 + 0. Solve -1 + l = u*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3469800.68 to the nearest one thousand.\nAnswer: -3470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28086, -28084, -28082, -28080, -28078?\n\"Answer: 2*i - 28088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634496617 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3911374 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxp when three letters picked without replacement from {x: 1, p: 2, g: 6, u: 3, c: 2, r: 4}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(242) + 5*sqrt(2)*-2.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2938677, -2938674, -2938669, -2938662, -2938653, -2938642, -2938629?\nAnswer: -2938614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p = 9. Suppose -1456 = -13*c - p*c. Let f be (-2)\/7 - (-663)\/c. What is f rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(4\/(24\/42) - 8). Sort -3, 5, -5, 6, m in descending order.\nAnswer: 6, 5, m, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 6:27 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 1\/4 (c) -0.4 (d) 1\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0168*-0.11\nAnswer: 0.001848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 + -1. Let k = 1070\/3 + -3056\/9. Let v = k + -2020\/117. Sort m, -1, v in ascending order.\nAnswer: -1, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, r: 2, p: 6, s: 1, q: 2, t: 5}. What is prob of sequence wst?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4242 divided by -6.\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1869154 to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -825, -3682, -8457, -15162, -23809, -34410, -46977, -61522?\n\"Answer: -2*i**3 - 947*i**2 - 2*i + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 4, -0.3, 0.05 in decreasing order.\nAnswer: 4, 0.05, -0.3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-101 - -108 - (15 - (-1 - -2))) + 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**6\/60 - 7*i**5\/15 - 8*i**4\/3 + 128*i**3\/3 + 13*i**2 - 1. Find d such that q(d) = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d + 13*d - 1 - 11*d + (2 - 1 + 0)*(-4*d + 7*d - d) in the form x + h*d and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 144.5958 kilograms?\nAnswer: 0.1445958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*l**2 + 9*l**3 + 421*l**2 - 153*l**2.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2131, -1244, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -10*v + 7. Let g(q) be the third derivative of -q**6\/20 - q**5\/60 + q**3\/3 - 20*q**2. Let u be g(1). What is the units digit of o(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12042088?\nAnswer: 2, 1505261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/((-16)\/48) - (0 + -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14849552719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3)\/(104*3\/36)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -175, -4\/5, 9\/11, 3\/26, -1.\nAnswer: -175, -1, -4\/5, 3\/26, 9\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(-3*-4*sqrt(6)))\/(((sqrt(33) - -4*sqrt(297)) + sqrt(33))\/sqrt(11)).\nAnswer: sqrt(2)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/6))**43 assuming x is positive.\nAnswer: x**(-215\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*r - 24 = 37*r. Suppose 2*t = -2*c + 4*c - 2722, -2*t = r*c - 5444. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + i**2 - 3*i + 1. Let t(j) = -j**3 + 1. Let f(o) = -n(o) + 4*t(o). Let g be ((-3)\/(-18)*4)\/((-6)\/18). What is the units digit of f(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, x: 1, r: 3, n: 1, i: 2}. What is prob of picking 1 p and 2 i?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/45 and -37\/5355.\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 328*p + 643.\nAnswer: 328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1385.12 - -12835.\nAnswer: 11449.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1142*g**5 - 5*g - 3 wrt g.\nAnswer: -22840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*o - 4*i + i, -2*i - 16 = -4*o. Suppose o*l = -l. Factor -2\/3*z**2 + 0 + 5\/3*z**4 + l*z - z**3.\nAnswer: z**2*(z - 1)*(5*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 714 and -6.129.\nAnswer: -4376.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j. Let w(d) be the third derivative of -d**4\/3 + 5*d**2 + 217*d. What is w(r(f))?\nAnswer: -56*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 3*c**2 + c + 2. Let n be v(-2). Suppose 132*f = 128*f + n. Suppose -116 = -f*p + 109. What is the remainder when 178 is divided by p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468993251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13a7 + 5?\nAnswer: 13b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2. Let s(z) be the first derivative of 0*z + 1\/2*z**2 - 8. Determine s(i(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.7 + 13.5. Let t = 28404 + -28410.80108. Let v = t + y. What is v rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271, -288, -319, -370, -447, -556, -703?\nAnswer: -894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 2 = o. Let l = o + -10. Let a(i) = -22*i - 279*i**2 + 44*i + 278*i**2 - 3 + 2 - 24*i. Determine a(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (13 + -7)*2 - 7278. Round v to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6\/54*57 + 28\/(-21) + 15 and 1202.\nAnswer: 12020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*y = 7*y + 4, -3*y = -5*h - 5. Let z(u) = -438996*u + 4. Let p be z(h). What is p rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/3, -10, 5.76899?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 + 42*w**2 - 65*w + 4111. Give l(24).\nAnswer: -905","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 1:14 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-5)*(-15)\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 31. Calculate the remainder when 43 is divided by (9\/12)\/(1\/s).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + 2*p**2 + 2*p + (1 + 0 - 2)*(3 - 4 + 4)*(306 - 306 - 12*p**2) to the form m*p + j + x*p**2 and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1017*t = 3*y + 194*t + 3226, -y + 3*t + 7 + 3 = 0 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/3 + 3128*q - 3669144 = 0. Calculate q.\nAnswer: 2346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 16330 = 4*o - 0*o, o = -4*r + 32624. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 - 76.923. Let y = 1068 + -1067.977. Let s = y + i. Which is the smallest value? (a) s (b) -0.2 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (27\/1674)\/(2\/(-194)) and -27\/5.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 17*g**2 - 69*g - 54. Determine a(-11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160, -245, -260, -217, -128, -5, 140?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 46 from -525760489.\nAnswer: -525760535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (0 - 0) + 42. Let o = m + -17. Suppose 5*x = -4*a + 77, -a = x + 5101 - 5120. Calculate the least common multiple of o and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/150*-6 - (-745)\/125?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + i = h + 19320, -3*h = 5*i - 19308. Suppose 0 = -4*q - h - 2391. Let z = -1370 - q. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 2. Let o be j(6). Let i = o - 6. Let s be 4\/(-20) + i\/5. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 9:22 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 3 - (-12 - -12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 13}. Give prob of picking 2 q.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v = -14*v. Suppose v = 6*p + 3234249 + 1235751. What is p rounded to the nearest ten thousand?\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -62, -0.4, -0.05, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 - 12*x - 1. Let w be i(-5). Let z = w + 21. Put -1, -3, z in decreasing order.\nAnswer: z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 450*q - 9. Suppose -61*z = -58*z - 3. Let i be p(z). Suppose 3*a = 3*u - i, 4*u = 5*u + 4*a - 137. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - 5*g**2 + 10 + 14*g**2 + 3*g**2.\nAnswer: 19*g**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 603 = 4*i, -i = i - 2*f - 306. Suppose -3*x = 2*x - i. Suppose 4*g + g = x. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(((-4053)\/6755)\/(3\/5))\/((-2)\/29)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**2\/2 - 9*r - 4. Let y be d(-10). Sort -5, 5, y in increasing order.\nAnswer: -5, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 16, 31, 52?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 13 = -4*j, 30*j + 24 = 33*j - 3*x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 6:52 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 19. Let x = p + -15. Suppose -j + 43 = -2*m + 10, -5*j + 4*m + 135 = 0. Calculate the remainder when j is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25\/2 + -12. Put 1, a, 0 in decreasing order.\nAnswer: 1, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 5*n + 5. Let z be y(-4). Let s(p) = -1 - 3*p + z + 6*p. Let v(w) = 0*w**2 - 4*w**2 + 6*w**2. Calculate v(s(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -142?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-7450)\/(-22797))\/(2\/(-12)) - -2\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3316 + 3344 + 0 + 20.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -845784 times 0.03\nAnswer: -25373.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -28 + 8*w**2 - 3*w**2 + w**2 - 10*w - 5*w**2. Calculate the least common multiple of s(14) and 26.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22688453 + 0.5?\nAnswer: 0.27311547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgggmggggmgggg. Give prob of picking 2 g.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -g - g + 2, -4*w + 2 = 3*g. Does 7 divide 14*(5\/g + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119.153*0.22.\nAnswer: 26.21366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1252741790*j**5 + 27638*j**2 + 3830*j wrt j?\nAnswer: -75164507400*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13572\/83263 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j + 54 = -b, 2*b + 120 = -4*j. Let o = -33 - b. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -196 - -203. Solve w*m + 2*m - 18 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 159?\nAnswer: -158.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202221 + 0?\nAnswer: 202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.4 (b) 1906 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (17 - 3) + (-1 - 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3\/3 + 12*k**2 - 4*k\/3 - 12.\nAnswer: 4*(k - 1)*(k + 1)*(k + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**5\/20 + 19*c**4\/12 - 3*c**3 - 3*c**2\/2 - 25*c. Let l be y(18). Is 6 a factor of (-17)\/l + (-14)\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53012 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54732375 divided by -243255?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 - 9)*(-3*t + 2*t - 2*t) + (2 + t - 2)*(2 - 1 - 3))*(4*t**2 + 0*t**2 - 6*t**2) as q*t**2 + m*t**3 + a*t + x and give m.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 2. Let m(g) = -g + 1. Let f be m(-5). Let d be r(f). Solve -w - w + d = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/2 - (-60)\/(-24). Let b = -8 - -5. Let r be 1\/((-3)\/(-6)) + b. Sort -5, r, o.\nAnswer: -5, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7614773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 11*w. Let l(b) = b. Let a(x) = 5*l(x) + z(x). Calculate a(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -6\/11, 2\/7.\nAnswer: -6\/11, -0.05, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -71*x**4\/12 + 4*x + 14. Let g(t) = t. Give g(a(v)).\nAnswer: -71*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 + 5*o - 3. Let z be i(4). Let f = -23 - z. Calculate the least common multiple of f and 21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 86 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14b72 (base 14) to base 10.\nAnswer: -51648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52350197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q = -4935 - 5075. Let c = -282 + q. Solve -2*s = -5*r - c*s - 18, -8 = -2*r + 3*s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*n = -3692, 2*n - 6939 = 3*q - 1397. What is the units digit of q\/(-5) - (6 + 224\/(-35))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -20*x**4 - 58368*x**3 + 444996*x**2 + 714016*x + 210672 = 0.\nAnswer: -2926, -1, -2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115998*p**3 + 54*p**2 - p - 34?\nAnswer: -695988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a*r**5 - 3*a*r**2 + 3*a*r + 330*r**6 - 450*r**3 - 9*r**2 + 201 wrt r?\nAnswer: 240*a*r**2 + 39600*r**3 - 2700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 6. Let y be (i\/(-1) - -3) + -4. Is 14 a factor of 42\/(y\/4 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 375*v**4 + 4175*v**3 + 15460*v**2 + 21340*v + 9680 = 0.\nAnswer: -22\/5, -4\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 37*m**2.\nAnswer: -37*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 66580 divided by -13316?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 5*w**2 - 6*w + 4. Let f(g) be the first derivative of g**3\/3 - g**2\/2 + g - 3. Let q(z) = z**2 - 3*z - 4. Let y be q(3). Give y*f(s) + u(s).\nAnswer: s**3 + s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239622740, 479245480, 718868220, 958490960?\nAnswer: 1198113700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 3*c**5\/5 - 279*c**4\/2 + 9189*c**3 - 75330*c**2 + 218700*c - 4752. Suppose o(x) = 0. What is x?\nAnswer: 3, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = k - 3*k. What are the prime factors of (-11)\/(1 + (k - 3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 2*h + 34 = -v, -535 - 955 = 4*v + 107*h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 1352?\nAnswer: -1354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3224657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2530\/(-153065)*3\/3?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 3*s = 4*m - 28, -15 = 5*m - 5*s. Suppose 2*j + 17 + 5 = -2*y, m*y = -4*j - 28. Does 2 divide (-2)\/4*y*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 1*(sqrt(68) + 2))**2.\nAnswer: 16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 1\/2 (c) 2018\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {f: 1, j: 1, q: 2, k: 2, l: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - k + k)*(-4*k**3 - 2*k**3 + 8*k**3) + k**5 - 3 + 3 - 24*k**5 + k**5 - 10*k**5 + 3*k**5 - 2*k**5 + 0*k**5.\nAnswer: -29*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*c - 103*c + 36 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 66, 107, 214, 417, 746, 1231?\n\"Answer: 5*k**3 + 3*k**2 - 3*k + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 5. Let i = t + 9. Let k = i - 6.00046. Round k to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -621551, -1243114, -1864671, -2486222?\n\"Answer: 3*u**2 - 621572*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 115*q**2 + 6*q + 3. Let w be b(-1). Which is bigger: -1\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 9 + 29. Suppose -5*v = -4*i + 5, 4*v = -2*i + p*i - 4. Suppose 4*q = -i*q + 80. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.14 - 13.14. Let c = b + 11. Let j = 60.4 + -60.1. Which is smaller: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 - 118782*k + 712688\/3.\nAnswer: (k - 356344)*(k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -48, -6, -3 in decreasing order.\nAnswer: -3, -6, -15, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g*g*g**36*g)*g*g*g*g*g**17 assuming g is positive.\nAnswer: g**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*l = 4*l - 36, -3*r - 3*l + 24 = 0. Solve -r*z - 20 = 6*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705982 to the power of 1\/2, to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 - 89275c1?\nAnswer: -89275a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 42. Let y be (l + 1)*(-4 + 5) - 16. Suppose 12 = g - 2*q, 0 = g - q - 2*q - 16. Put y, g, 5 in ascending order.\nAnswer: y, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6) - 1169\/21. Let j = 54 + d. Sort -4, j, 5 in increasing order.\nAnswer: -4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**3\/2 + 5*x**2 - 6*x. Let b(o) = 4*o - 11. Suppose -4*m = -71 + 47. Calculate m*b(v) + 7*l(v).\nAnswer: 3*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 403 or 405?\nAnswer: 403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12958 + 12971. Solve -w + 24 = 5*y, -18*y - 4*w + 21 = -l*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -2*t - 10, -3*t - 1 = 2*t + s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvyyvvmymmyvememym. Give prob of picking 2 e.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = g + 4*g. Let q = g - -35. Suppose 213 = 4*r - 5*f - 383, -3*r = 5*f - 482. Calculate the greatest common factor of q and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.287147us in nanoseconds?\nAnswer: 7287.147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/27, 133, 3?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/73653 + 810203\/736530. Let -6\/5 + y*z + 1\/10*z**2 = 0. What is z?\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 188 and 44?\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 715 or 708?\nAnswer: 715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 21*p**2 - 18*p - 28. Calculate a(20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2949798 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = -36*z + 646. Let m(d) = 4*d**2 + 5*d + 4. Let a be m(-3). Is a > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -802, -3208, -7218, -12832, -20050, -28872, -39298?\nAnswer: -51328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 312 - 153. Suppose 13*p = 16*p - v. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 7*x + 22 = 10*x + 25*a, 0*a - 2*a + 11 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103979*v**3 + 7*v + 2382.\nAnswer: -623874*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m**4\/7 + 1674*m**3\/7 - 8808*m**2\/7 - 80280*m\/7 + 61344 = 0. What is m?\nAnswer: -284, -7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 0, j - 180 = -k + 6*j. Let f be (90\/k)\/((-2)\/(-1)). Let t(h) = 2*h - 2. Let v be t(3). What is the closest to -1 in -3, v, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 913*v**7\/42 + v**3\/6 + 994*v. What is the second derivative of s(b) wrt b?\nAnswer: 18260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30581 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96*r**3 - 25*r**2 - 21*r + 544 wrt r?\nAnswer: -576*r - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4135917135?\nAnswer: 3, 5, 7, 39389687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooww when four letters picked without replacement from {o: 7, w: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(((-21)\/(-54))\/7). Let h be (-2463)\/(-17) - u\/(-153). Find the second derivative of -3 + h*o - 19*o**3 + 3 - 164*o wrt o.\nAnswer: -114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17207 + 17210. Sort 0.4, 5, -72, h in decreasing order.\nAnswer: 5, h, 0.4, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**2 - 2 + p**2 - 4*p**2)*(-4 - 17 + 4) + 2*p**2 - 4*p**2 + 3*p**2.\nAnswer: -50*p**2 + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -621?\nAnswer: 28\/621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 97953.1018 to the nearest 100.\nAnswer: 98000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 3*u**2 + 10*u**2)*((3*u - 2*u - 3*u)*(-2*u + 3*u - 2*u) - u**2 - 3*u**2 + u**2).\nAnswer: -10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2*m**3 + 4 + 3*m**2)*(2*m - 2*m + 6*m) as f*m**4 + i*m**2 + t*m + p + y*m**3 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 1\/2 (b) 1\/5 (c) 0.03 (d) -2320\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -10. Let k = -4 - g. Suppose -5*c = -k*n - 156, 2*c - n + 0*n - 63 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3713885041 to the nearest integer?\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50825*d - 50552*d - 14469 = 0 for d.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 3\/18 + 59\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*u + 2*u - 2276, 2*d = 5*u - 5690. Let h = -778 + u. Let m = h - 233. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 48*l**2 + 718*l + 40. What is z(12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 312, 617, 922, 1227?\n\"Answer: 305*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 10. What is the smallest common multiple of ((-22)\/(-8))\/((-7)\/(-28)) and f?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 25*o**3 + 32*o**2 + 6*o - 6. Let s(r) = -24*r**3 - 31*r**2 - 5*r + 5. Let f(c) = -5*a(c) - 6*s(c). What is the third derivative of f(k) wrt k?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42648.99929398 - 42649. What is d rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010100 + 11000111110111000?\nAnswer: 11001000010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/198 and -43\/1056?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (22\/(-6) - -2)*-3. Suppose -q*t = -d - 22, 0 = -5*d + 2*t + t. Let z = -4 + d. Which is the second biggest value? (a) -2\/11 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2\/317, -419073?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120712607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139.871 - 0.129. Let j = m - -140.5. Put 0.03, 0, j in decreasing order.\nAnswer: j, 0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3899 - 0.3899. Let l be ((-4)\/(-10))\/1*1. Which is the closest to -0.1? (a) l (b) s (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2 + 34. Let s = -25 - a. Which is bigger: s or -10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37605 is divided by 220.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1 - -9) + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(95)*-6 + (sqrt(95) - (1*sqrt(95) + sqrt(95)) - sqrt(95) - sqrt(95))*2*4)\/((-4*sqrt(100)\/sqrt(2))\/(sqrt(250)*1)).\nAnswer: 135*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = 3, 0 = -o - 3*v + 21. Is 10 + -3*(-2)\/o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66549 is divided by 16621?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 5*r + 4 = 0. Let y(d) = 4*d - 6. Let z(l) = -3*l + 5. Let j(q) = 2*y(q) + 3*z(q). Let m(s) = 3*s - 8. Calculate r*m(p) + 11*j(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.39 + -0.43. Let r = 0.21 + p. Let q = -0.67 + r. Which is the third smallest value? (a) q (b) 2\/3 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - ((-5 - 2) + 0). Solve p*j - 3*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1512599103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2513*q + 15134. What is s(6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 16. Let h be b(-14). Let l(g) = 21*g + 3*g + 7 - 10 + g**h. Is l(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -104, -401, -728, -1085, -1472?\n\"Answer: -15*i**2 - 252*i + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(120)\/sqrt(6))\/sqrt(10).\nAnswer: -5 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*f**3 - 1 + (f - f + f)*(-2*f**2 + 3*f**2 - 3*f**2) - 15*f**2 + 15*f**2 + 19*f**3 in the form i + c*f + x*f**3 + m*f**2 and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 343552?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51.34 or -21508?\nAnswer: -51.34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -127 - 765. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 + (-3 - -1) + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 2293.3.\nAnswer: 2296.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -4. Let h = d - 4. Suppose -2*z + 2 = 0, h*z - 2*z - 6 = k. Which is the third biggest value? (a) 0.1 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43920 rounded to the nearest one thousand?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -25778cd?\nAnswer: 25778c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2239962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + 2*d + 20*d)*(2 + 1 - 4)*(2 - 3 + 2) - d - 2 + 2 to the form k + v*d and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(600\/400)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-11396)\/4620 + 7\/3\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 less than or equal to 3939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (11 - (10 + -9))) + (-20 - 4)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*d - 16 - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.299751319229147 and 0.2.\nAnswer: -0.099751319229147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2. Let t(p) = -128*p - 4. Determine t(w(i)).\nAnswer: -256*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2519*l**2 + 2 - 2532*l**2 - 3*l**3 - l + 5070*l**2 + 2*l**4 in the form j*l**4 + f + h*l + p*l**3 + b*l**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 979231?\nAnswer: 11, 89021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 403 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 192418 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*m + 180, 0*h - 374 = 4*h + m. Let q = h + 839\/9. Which is the closest to q? (a) 0 (b) -0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533544970 rounded to the nearest ten thousand?\nAnswer: 533540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 24*r + 11. Let b(q) = 28*q**3 - 169*q**2 + q + 28. Let s be b(6). Give n(s).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20012022000122 + 20?\nAnswer: -20012022000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/5, 1, -0.079, 36, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 169 and 31434.\nAnswer: 31434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.5, -1\/2, 1288?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-2\/75)\/((m\/(m*(m*m*m**16)\/m))\/m**(3\/4)) assuming m is positive.\nAnswer: m**(5333\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(2*l + 22*l**2 - 25*l**2 - l) - l**2 + 2*l**2 - 3*l**2 + (-3*l + 2*l - l)*(0 + l + 0) + 94*l**2 + 4*l**2 + 85*l**2.\nAnswer: 176*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 21 = -4*g, 0 = -k - 4*g - 1706 + 1721 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, i: 5, n: 4}. What is prob of sequence ine?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 187 + -122. Let u be 1608 - (12 + -17 + (0 - -10)). Suppose 1600*j - u*j + 51 = 0. Calculate the remainder when n is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/4 of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4282*x**3 + 2*x**2 - 4*x + 32. Let o be v(4). What is o rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 + 6313\/177)\/((-2)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109578059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -db4 (base 16) to base 13\nAnswer: -179b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 j, and 1 c when three letters picked without replacement from {n: 2, m: 2, h: 1, c: 1, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28519679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-4))\/s)**(-4) assuming s is positive.\nAnswer: s**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*(v**(12\/11)\/v)\/v)*((v\/v**(-8))\/v)\/v*v**(8\/5)\/v**(-25) assuming v is positive.\nAnswer: v**(1898\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15588606864*h**2 + 31177213741*h**2 - 15588606867*h**2.\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhv when three letters picked without replacement from nvvvvvvhhvnhhhv?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9}. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**4\/6 + h**3\/3 + 9*h**2\/2 + 7*h + 556. Let r(x) = 4*x**2 - 4*x - 18. What is 7*j(b) + 3*r(b)?\nAnswer: -2*b**2 + 2*b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1836 + -1834. Which is the second smallest value? (a) q (b) 71 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a + 5 = 9*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 60122761.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 376824989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 65332328 divided by -13708?\nAnswer: -4766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 8:43 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3671\/2539?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.2, -131, 1\/4 in ascending order.\nAnswer: -131, -0.2, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25884, 25845, 25808, 25773, 25740?\n\"Answer: f**2 - 42*f + 25925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/45 + 56\/(-63) + 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 99403*m**4 + 4*m**3 + 18361471*m**2 wrt m?\nAnswer: 2385672*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**3 + s**2 - 1337*s + 1336. What is f(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 0 - (-7)\/3. Let l be ((357\/(-238))\/(14\/(-4)))\/(6\/(-21)). Which is the nearest to m? (a) l (b) 2 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -162817\/62 - -2626. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39, 268, 883, 2076, 4039?\n\"Answer: 32*h**3 + h**2 + 2*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 26*z. Let b(g) = 22*g. Let i(d) = 7*b(d) - 6*s(d). Let x(l) = 9*l**2 + 5*l. Let j(k) = 63*k**2 + 36*k. Let u(p) = 5*j(p) - 36*x(p). Give u(i(f)).\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.46 - 11.46. What is the closest to 0.3 in 2\/5, -3, f, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - w + 17. Let z be m(-7). Let y = z + 30. Suppose y*c = -281 - 74. Round c to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 61. Let t = h - -11.175. Round t to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2 = 5*o + 52, -3*o = -2*d + 10. Which is the closest to 1? (a) 0.3 (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - i**2 + 258*i**4 - 108*i**4 - 19*i**4 to u*i**2 + k*i**3 + x*i + l*i**4 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (224 - 565*a - 566*a + 1132*a)*(a + 2*a + a).\nAnswer: 4*a**2 + 896*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4985200*n + 80256641?\nAnswer: 4985200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72831, 145602, 218363, 291114?\nAnswer: 363855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 7?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 8\/5 (b) 8 (c) 1\/3 (d) -1\/3 (e) 5 (f) -0.4 (g) -12\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -336494, -336518, -336542, -336566, -336590, -336614?\nAnswer: -336638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2 (b) -11980 (c) -1\/4 (d) -1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rllr when four letters picked without replacement from ggrgggrggsrgglrgl.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (26 + -9)) + (-5 - (1 - 0))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2 + 1\/2*n**4 - 1\/4*n + 1\/2*n**3 + 1\/2 - 1\/4*n**5 = 0. What is n?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*d + 15*d = 25*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l + 4*l + 8*l)*((2*l - 2*l - 3*l)*(-2 + 1 - 1) - l - 12 + 12)*(5*l - 3*l + l).\nAnswer: 75*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*w**2 + w**2 + 4*w**2)*(-808*w + 807*w - 7684 + 2003) to l*w**3 + d*w**2 + r*w + m and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 171.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 + 70. Let d = 20 + -19.8. What is the nearest to y in d, -0.1, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.17915 and 0.3.\nAnswer: 0.12085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 2*k - 1. Let t(f) = -2*f**2 - 5*f - 3. Let a = 237 + -241. Give a*t(j) + 10*z(j).\nAnswer: -2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 6. Suppose 0 = 3*t + 4*l - 8, 5*l - 2 = 2*t - 15. Suppose 0*x + 36 = t*x. What is the remainder when x is divided by v(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 5 = 4*a + 7*b, 2*a + 3*b = 5. Suppose -z - a = -d, 3*z - z + d = 10. Factor z*o**3 + 0*o**3 - 5*o**3 - 4*o - 6*o**2.\nAnswer: -2*o*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 40 (c) -1\/315\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 95699 - 291074 = -86*f. List the prime factors of f.\nAnswer: 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/10 + 1618549*b**4\/10 + 3237103*b**3\/5 + 4855657*b**2\/5 + 6474211*b\/10 + 1618553\/10.\nAnswer: -(b - 1618553)*(b + 1)**4\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-8))\/(18\/12). Suppose -2*v = 4, -3*v = y - 0*y + 9. What is the closest to 0.1 in 1, c, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1*(1 - (-3 - -2 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*d + 29 - 89 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-144)\/(-4 + 1). Let r = -42 + o. Suppose 278 = r*i - 3*q - 2*q, 3*q = -2*i + 150. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1956)\/1630)\/((-110)\/(-8)*(-6)\/25)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**3\/2 - 2*t**2 + 142*t. Let z(c) = -6*c + 8. Give -7*p(b) - 3*z(b).\nAnswer: -3*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -9 - 9 + 15 + x**2 - 4. Let w be o(-3). Let v = -149 + 154. Solve -3*l - w*r = -0*r - v, 35 = 5*l - 2*r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41457624 divided by 52\nAnswer: -797262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7628, -15455, -23486, -31721?\n\"Answer: -102*s**2 - 7521*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -100?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 568070 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -24*j + 9 - 34 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8.8, -0.15, -5, 0.0867, 4 in decreasing order.\nAnswer: 4, 0.0867, -0.15, -5, -8.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2155*r - 308135. Give a(143).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*r + 13 = 0, -r + 8 = g - 0*r. Let p(z) = 2*z**2 + 7*z + 10. Let y be p(-6). Calculate the remainder when (-4)\/2*y\/(-5) is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 546280 and 1092560?\nAnswer: 1092560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + v - 1. Let l be w(-2). Let q = l + 15. Solve q*z + 15 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 = -0*f. Solve 2*s - 5*s = -f*l - 6, -l + s = 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*m**5 + 0 + 10*m**3 + 0*m - 4*m**4 - 16\/3*m**2 = 0. Calculate m.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11*y - 9*y**2 + 2 - 7*y**2 - 2. Let b(j) = 3*j**2 - 2*j - 8. Let r(w) = 3*w**2 - 2*w - 6. Let i(q) = 3*b(q) - 4*r(q). What is 22*i(h) - 4*z(h)?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 306204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 75157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/8327 and 4\/6813?\nAnswer: 74943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.19 - 4.69. Let r = 2 + 7. Let g = w + r. What is g rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at most -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9*u**2 + 17*u + 19. Let c be 4\/6 + 60\/(-9). Let k(f) = 8*f**2 - 14*f**2 + 10 + 8*f**2 + 9*f + 3*f**2. Let s(y) = c*h(y) + 11*k(y). Calculate s(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -10, -7 = -3*i - 0*j - j. Suppose -4*q - 3*l - 16 = -3*q, -i*l = -q + 8. Which is the nearest to -1? (a) -1 (b) -0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(125) - (sqrt(125) - -1*sqrt(125)) - sqrt(125) - sqrt(125)) + -2 + -1)**2.\nAnswer: 90*sqrt(5) + 1134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 3576847*a**2 + 28614824*a - 57229680.\nAnswer: -(a - 4)**2*(a + 3576855)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 = -0. Let c = 4 - h. Suppose 3*t - c*f = 387, 4*f + 953 - 310 = 5*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 17*k - 109. Calculate a(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2. Suppose 2*t + 1 = 3*g, -4*t = 5*g - 20 - 11. Let l(f) be the first derivative of 0*f + 0*f**2 + 1\/3*f**g + 1. Determine c(l(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1954, 1949, 1942, 1933, 1922, 1909, 1894?\nAnswer: 1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**3 - 14*f**2 - 20*f - 2. Suppose 0 = -2*z - z + 30. Let u(w) = -w**3 + 5*w**2 + 7*w + 1. Let t(q) = z*u(q) + 3*k(q). Factor t(n).\nAnswer: 2*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 0)*(4012*d + 2837*d - 2553*d).\nAnswer: -12888*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3*u - 4*l = 0, 3*u + 5*l + 27 = 0. Let w be u\/(-8) + (-2)\/4. Suppose w = p - 2 - 4. Solve n + p = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3560 and 20?\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 179, 301, 459, 665?\nAnswer: 931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83561792 to the power of 1\/3, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411 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 d = 0 - -2. Let p be ((-2)\/4)\/(d\/16). Let n(x) = -2*x. Let l be n(p). What is the greatest common factor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 6*v + 8. Suppose -5*n + o + 26 = 0, 3*o = -5*n + 13 + 9. Let h be a(n). Solve -2*r + 5*r - 24 = h*m, -r + 14 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + -4843?\nAnswer: -4851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/4510 and -55\/82.\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -1, 75, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-632)\/88 - (-19)\/(1254\/12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q. Let m be (-9)\/(-7) - (-18)\/(-63). Let r = 0 + m. Let l be c(r). Solve -3*b = -4*b + l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 1 - 3) + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 97 = 5*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 13*h**8\/840 - h**7\/840 + h**4\/3 - 5*h**3\/6 - 24*h**2. Let u(t) be the first derivative of z(t). Differentiate u(o) wrt o.\nAnswer: 104*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 20*k = -2*d - 10, 2*d + 8 = 0. Let l = 7 + -10. Let h = l - 4. Is h less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 - 24*m**2 + 46*m - 41. Let l be q(14). Suppose 66848 = 11*t + l. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Suppose -3*m + 52 = -f. Calculate the common denominator of 1\/3 and 255\/m + (-3)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/3 - 8571*u**2 - 128534*u\/3 + 51416.\nAnswer: -(u - 1)*(u + 6)*(u + 25708)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 123*r**2 + 3*r**2 - 3 - 112*r**2 - r + r - 2*r**2 + 3*r**2 - 3*r**2 + 2*r**2 + (6 - 2 - 3)*(-2*r**2 + 2*r**2 + 2*r**2).\nAnswer: 16*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 6*f + 2*f - 4*f - 56.\nAnswer: 4*f - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*y - 10 = -2, 5*f + 3*y - 20 = 0. Suppose 7 - 1 = b - 4*k, 16 = 2*b - f*k. Suppose 0 = 3*p - b - 8. Solve 0 = -3*d - p + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/11 - -15\/22. Which is the third smallest value? (a) -3 (b) 1 (c) -8\/9 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/(-9)*(-4 - 5). Let p be 2\/(-6) + 74\/6. Calculate the highest common factor of p and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-504)\/17920*-40)\/(18\/8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*h)*(-5 - 10 + 44) + 0 + 2*h + 0 + h + 3*h - 2*h + (2 + 1 - 1)*(-h + h + 2*h) as i + s*h and give s.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a**2 + 332*a - 201. Determine k(-48).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -738 + 771 + (-36 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 649\/48 - 1\/48. Let k be 1\/(-6) + 3 + 22\/(-12). Calculate the common denominator of n and 2750\/20*k\/(-15)*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 - (-5 - (117 - 26))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*((108\/9)\/324)\/(3\/(-9))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -182 + 18c?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 24. Let z(k) = -32*k**2 + 67*k**2 + 12*k - 46*k**2 + k**3 - k. Is z(o) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*k + 30 = -5*c + 66*k, -2*k - 7 = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7255236 centimeters in nanometers?\nAnswer: 7255236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 28*c - 17*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 617 - 601. Suppose -4*s = 3*d - 271, 2 = 3*s + 8. Calculate the remainder when d is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 1.6, -0.1, -12, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -51.93, -5, -1, 697 in ascending order.\nAnswer: -51.93, -5, -1, -2\/9, 697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/6)\/((n\/n**0)\/n))\/((n**4*n)\/(n**(-5)*n)) assuming n is positive.\nAnswer: n**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -124\/33 at least as big as -14459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q**3 - 15*q**3 - 100*q**4 + 3*q**2 + 33*q**4 + 38*q**4 + 3 + 31*q**4 to the form y*q**3 + u*q**2 + i*q + c + n*q**4 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26811430 is divided by 2830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 9*a + 1 + (-2 + a + 2)*(-4 + 0 + 5).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*q + 3*q + 2*q + (2 + 2 - 5)*(q - 9 + 9)*(5 - 1 - 2) to y*q + r and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29790877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 217299 and 339?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 7*c**2 - c - 4. Let y be q(-7). Let d be 2190\/3*14\/(-336). Let u = 123\/4 + d. Put u, -2, y, 0.3 in decreasing order.\nAnswer: y, u, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -152, -7, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2331 + 1013112?\nAnswer: 1010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = d - 21, 4*k = -5*d - 1 + 46. Suppose 5 = 5*s + k. What is the second smallest value in -2, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001010001001 (base 2) in base 4?\nAnswer: 2022021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*u - 63. Suppose -2*i - 3*v = -4, -4*v + 0*v - 13 = -i. Suppose -5*c + 5*p - i = -15, 13 = -c + 4*p. What is the remainder when u is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**12))\/d)\/d*d**29 assuming d is positive.\nAnswer: d**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/6 (b) 10 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) 20 (b) 3 (c) -169 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*((-4)\/(-10))\/((-42)\/84). What is d in -14\/5*d**3 + 0 + 24\/5*d**2 + u*d = 0?\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 5:39 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216)*2 - sqrt(19) - -3*(sqrt(19) + (sqrt(38)\/sqrt(2))**2).\nAnswer: 57 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q**2 - 15*q**2 - 12*q**2 + 192*q**3.\nAnswer: 192*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5772?\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 533. Suppose 3*x = -f - x - 285, x + 300 = -f. Let p = f + v. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(72*j**5 - 31*j**5 + 47*j**5) - 39*j**5 + 10*j**5 - 13*j**5.\nAnswer: -218*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 29. Let f be o(-12). Let n = -7.5 + 1.5. Let h = n + 3. What is the second biggest value in h, f, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (940\/(-190) + 5)*(-176)\/44?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-5)*4425\/(-23010).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -245e?\nAnswer: 2464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from wxw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 9*f**2 + f + 18. Let p = 658 + -667. What is a(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v = -7*v + 74240. Suppose -99*w - v = -107*w. What is the greatest common factor of w and 232?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10402, -7\/13, -0.015 in increasing order.\nAnswer: -7\/13, -0.015, 10402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*g - 2*h - 20, -3*g - h - 12 = 0. Let o = -392 - -191. Let x = 200.9 + o. Which is the second smallest value? (a) -0.3 (b) g (c) x (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*x + 708*x - 13692 = 0 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109657, -110523, -111389?\nAnswer: -112255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99000 and 4?\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -3. Let k be q\/(13\/(-11) - -1). Let v = -4 - k. What is the remainder when 33 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -14.5. Which is the closest to -0.1? (a) 0.2 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/4 and 61\/214?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 273177 to the power of 1\/2, to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1980839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1409\/5 + -282. Let j = -31 - -123\/4. Which is the closest to j? (a) h (b) 2\/19 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/45)\/((-56)\/756)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-1)\/((-3553)\/4732 + (-3)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*(sqrt(45) - (sqrt(1620) - sqrt(45))) + sqrt(45)))\/((4*sqrt(1728))\/sqrt(3)).\nAnswer: -9*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 127*z - 81 wrt z?\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 6 = 2*i. Let r = i - 1. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2307 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 - -93. Let l = 11198.19988 + -11230.2. Let u = z + l. What is u rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + (-2 + (sqrt(567) - ((sqrt(567) - (sqrt(567) + 1)) + -3)))**2).\nAnswer: 180*sqrt(7) + 2835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from {q: 1, v: 5, w: 12}?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12040781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*g**3 + 161*g**3 + 160*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/4, 26, 0.1, -3, 11, -1?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 5, -44, -133, -274, -479?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2319844635 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 207846 (base 14) in base 9?\nAnswer: 2051077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 13 = -3619. Calculate the remainder when d is divided by 99.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 g when four letters picked without replacement from {d: 5, g: 3, j: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 4\/3 (c) -2\/17 (d) 0.5 (e) 2.4 (f) -0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z. Let q be m(-1). Let b(i) = i**3 + 5*i - 5. Let p(f) = -108*f + 258. Let d(l) = 25*l - 60. Let s(u) = -30*d(u) - 7*p(u). Give q*s(a) - 6*b(a).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -2c1?\nAnswer: 2bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 3 - f - 2*f. Let w be r(0). Let z be w\/(-4)*(-6 + 2). Calculate the greatest common divisor of z and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -970 + 1606. Does 53 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 6206559?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/23)\/(n\/n**(-11)))**(-35) assuming n is positive.\nAnswer: n**(9730\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/1)\/((-9)\/(-36)*8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(21)\/(sqrt(21)\/sqrt(7)) + -1.\nAnswer: -1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-20))\/(3\/8). Let r = -65.3 - -65. Which is the third biggest value? (a) r (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3 - (-18225)\/(-18375))*130\/52?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1906 * 150726.\nAnswer: 287283756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1076 - 1074.4. Let c = -6.8 + 8. Let r = c - a. What is the nearest to -2\/3 in -1, r, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 4:19 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7744, 7742, 7738, 7732, 7724, 7714?\nAnswer: 7702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100001101 + -1100011111?\nAnswer: -111000101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2 + 429959*c + 859914 = 0.\nAnswer: -429957, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3600)\/(-81))\/20*(-3)\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.49668 to one decimal place.\nAnswer: 63.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, 47, 0.3?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 725 and 2117.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90481523 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2992540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*u**4 + 73*u**4 + 2 + 2*u**3 - 3*u**3 - 2*u + 4*u**3 to the form q*u + c + z*u**2 + r*u**4 + d*u**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -15. Let v be ((-9)\/i)\/(2\/(-40)). Solve -2*g - 14 = -v*y, y - 3*y - 3*g + 11 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/18*27\/(-108)*87?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(416\/56))\/((-20)\/(-320))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -3. Let x = 47\/4 - 12. Sort 3\/5, m, x.\nAnswer: x, 3\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvjjuujju. What is prob of sequence jjuj?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 > -331\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*q**2 - 7*q + 321*q**2 + 265*q**2 + 17*q - 12*q.\nAnswer: 496*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5879 + 5881. Let i = -3 + 7. Let n(a) = -i*a + 3*a + a**3 + 2 + 3*a - 2*a**2. What is n(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 0.5, 1, -0.4, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/(d\/d**(-7)*d)))\/(((d*d\/(d*d\/(d\/d**28*d)*d))\/d)\/d) assuming d is positive.\nAnswer: d**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4196293 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 6*n - 4*n + (0 + 1 - 3)*(-2*n + 1 - 1))*(-198 + 3084*n - 1531*n - 1520*n) as j + h*n**2 + i*n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 97 - 1270*z - 303 - 480*z - 111 wrt z.\nAnswer: -1750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + (sqrt(1700)*-2)**2) - (sqrt(153) + -2 - (sqrt(17) + 1 + -5)))*6.\nAnswer: -204012 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80*h*q*w - 5*h*w - 56*h - 2*q*w wrt q.\nAnswer: -80*h*w - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 take away 127326?\nAnswer: -127325.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -60 + (6 - (9 + 23)) + 26\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008287 to 5 dps.\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 0. Which is the second smallest value? (a) h (b) 1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 3)*(-4 + 1 + 2)*(-4*v**2 + 108*v - 108*v)*(0 - 1 + 2) to the form b + m*v + j*v**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(1 + 0) - -1. Suppose -s*l + 5*l = 4*z - 37, 45 = 3*z + 5*l. What is the least common multiple of 7 and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 15*m - 78*m + 18*m + 14*m + 14*m. Let c(j) = 9*j**2. Calculate c(y(p)).\nAnswer: 2601*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3240 is divided by 750.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 26*o**2 - 13*o. Let i be z(1). Solve -i = -6*q + 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337879 is divided by 907.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 68. Let y = 146 - w. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 - -175. Let s be 693\/18 + (-591)\/(-394). Calculate the highest common divisor of s and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5619.843 + 5620.25299972. Let a = 0.41 - x. Round a to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n - 28 = -4*g - 20*n, 15 = 5*g + n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*b + 9 = 0, -6*p - 32 = -p + 2*b. Sort 5, -1, p, 0 in descending order.\nAnswer: 5, 0, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -3 + (-46)\/(0 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1955 - 1989.96. Let p = -35 - h. Let i = p - 0.96. What is the closest to 4 in i, 1\/4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.07 (b) -3 (c) 5 (d) -196\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.18 - -10.61. Let f = a - -0.07. Let u = 4 + f. What is the closest to -1 in -2, 1\/10, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 + 1010*i**3 + 68340*i**2 + 1571150*i + 1503815.\nAnswer: 5*(i + 1)*(i + 67)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 12*b**2. Let p(l) = 114*l**2. Let c(r) = 48*o(r) - 5*p(r). Let z(k) = -k**2. Determine z(c(s)).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 500504577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*w - 2*v, -2*w - 1 = 2*v - 23. Suppose w = -h + 4*j - 0*j, j = 4*h - 20. Solve c + h = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(3\/14)\/n*n)*n*n**(-1\/15)*(n**5*n)**45 assuming n is positive.\nAnswer: n**(57061\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-15)\/60)*1870\/136?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004746757 to seven dps.\nAnswer: 0.0000475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(4)*2 + (-3 + sqrt(85)\/sqrt(5))**2 + 2.\nAnswer: -4*sqrt(17) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 29979.78 weeks?\nAnswer: 18131770944000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52841113?\nAnswer: 13, 47, 197, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -73359 divided by -247\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5 + sqrt(98)*2 + -1) + -3 + (sqrt(98) - (sqrt(98) - (sqrt(98) + 0))) + -1 + 2*sqrt(98) + 3)**2.\nAnswer: -4410*sqrt(2) + 9163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -715\/2984?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 12:43 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879868?\nAnswer: 2, 11, 19997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/12 - 623\/(-42). Find the third derivative of 0*x**2 - 10*x**2 - 8*x**2 + m*x**2 + 7*x**6 wrt x.\nAnswer: 840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 b, and 1 a when four letters picked without replacement from {i: 2, b: 6, a: 1, q: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 34. Let v(g) = -g**2 + 10*g + 4. What is v(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 4, 1 in descending order.\nAnswer: 18, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5704.5 + -5705.06411. Let s = 0.56 + l. Round s to four decimal places.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55371 - 2?\nAnswer: 55367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 1. Let w be c(2). Let n be -1*(2*3 + 1). Let v = 4 + n. Put v, 4, w in increasing order.\nAnswer: v, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*m + 816 + 3314. What is the remainder when m is divided by 112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -575571909 and 125?\nAnswer: 575572034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -283044726, -566089452, -849134178, -1132178904, -1415223630, -1698268356?\n\"Answer: -283044726*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3578885489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + -3. Let n = -9 - q. Put n, 2, 3 in descending order.\nAnswer: 3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 5*g**2 + 2*g - 5. Let h be v(-4). Determine i, given that 4*i - 3 - h*i**2 + 4*i + 5*i - 7*i = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53*i**4*p - 2*i**3*p**2 + 12*p**2 + 21 wrt i.\nAnswer: 212*i**3*p - 6*i**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 886 (base 15) to base 7\nAnswer: 5421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 1\/2 (c) -12.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + 74\/(-26) + 6\/(-39). Let m be 603\/21 - h\/28. Solve 10 = 2*l, -3*l + 11 + m = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/252 - (-2)\/8.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -94500 to the nearest 1000.\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(8\/(-30) - 0). Let c = 1.3 - 1.16. Let i = -0.04 + c. What is the third smallest value in i, -0.3, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + i + 12 + 10 = 0, -5*i = -3*g. Let s(w) = w**3 - 5*w**2 - w. What is s(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27024603*w**2 + 308*w - 43056.\nAnswer: -54049206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 81, 79, 77, 75, 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (-22)\/6) + (-1)\/(-3). Suppose 2*f + 16 = 4*q, -2*f + m*q - 20 = -0*f. Put 4, f, 155 in increasing order.\nAnswer: f, 4, 155","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + -42. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - v)*(-4 + 4 + 2)*(-4*v**2 + 0*v**2 + 2*v**2).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 198, 396, 604, 828, 1074?\n\"Answer: d**3 - d**2 + 194*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/9 + 193801*g\/9 - 387598\/9 = 0. What is g?\nAnswer: 2, 193799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, a: 9}. Give prob of picking 4 d.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mylmmmomoyommlmomy. What is prob of sequence yy?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 0 - (76 + -44 + -56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1010 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(80) + 0)*4*4)**2*-5.\nAnswer: -921600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1463)\/539 - 2\/7) + (-15)\/(-4). Suppose o + 7\/8*r + 1\/8*r**2 = 0. Calculate r.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -36*x - 10. Solve -35 = -5*w - 5*o, -3*w = -w - o - x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2601 divided by 51?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = x - 3*z + 13, 3*z = 3*x + 6. Factor 9*g + 0*g**x - 5*g**2 + 0*g + g - 5*g**3.\nAnswer: -5*g*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 804\/(-18))*33\/(-165)?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7 = 5*x + 1, 5*j - 10 = 4*x. Let s = -12 - -21. Let v = s - 14. Which is smaller: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2592) + sqrt(2592)*-2)\/sqrt(6)*-3 + -1 + ((0 + 3*sqrt(300) + sqrt(300))**2 - ((sqrt(300) + -1)*-6 + sqrt(300))).\nAnswer: 86*sqrt(3) + 4793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.041 + 32.959. Let m = 33.1 - r. Let h = 0.25 + 11.75. Which is bigger: h or m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141*d**5 - 27*d**2 + 2 wrt d.\nAnswer: 8460*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8\/3)\/(p**21*p))\/(p**5\/p*p)**(-4\/5) assuming p is positive.\nAnswer: p**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -20674 equal to -20336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swhhsmrsmrwrsr. What is prob of picking 1 r and 1 s?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -337\/5171, 0.1, 1?\nAnswer: -337\/5171","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 56\/(-32) + 1\/(-4). Let m(f) = -f + 2. Let h(j) be the first derivative of -3*j - 782. Give l*h(t) - 3*m(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000210 (base 3) in base 4?\nAnswer: 23232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 81702985*c + 5*c**2 - 81702985*c. Let d(i) = -2*i - 6. Let m be d(-5). Let f(t) = -m*t + t**2 + 4*t. Calculate v(f(o)).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-11 + 4 - -10 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 + 62*k - 120. Calculate the remainder when r(-21) is divided by 55.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 713268445 to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 22 = 4*l, -3*l = d - 0 - 13. Let t be 0 + 4*6\/24. Suppose -t = -7*v + 13. Solve v*j = -3*f + l*j, j + 6 = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 2 + 0 + 1 + 3*b**2 - 3*b - 2*b**2. Suppose 4*l + 81 = -20*l + 9. Determine m(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(8\/(-196))*2740\/(-959)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 - ((-752)\/12 + 1). What is the second derivative of 22*b - 88*b**2 + 88*b**2 - v*b**5 + 12*b**5 wrt b?\nAnswer: -1000*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-7) + -21 - -9. Let d(s) = 9*s**3 - 3*s**2 + 3*s - 3. Let x(j) = -44*j**3 + 14*j**2 - 14*j + 14. Give z*d(w) - 3*x(w).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**2 - 6. Let q(a) be the first derivative of -14\/3*a**3 - 17*a + 0*a**2 + 12. Let n(o) = 17*j(o) - 6*q(o). Let d(z) = -15*z. What is d(n(t))?\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**3 + 2*i**2 - 1. Let u be h(-1). Suppose a = -f + 7, -2*f + 4*f - 26 = -u*a. Suppose 47 = f*o - 2*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n - 34. Calculate the remainder when 69 is divided by m(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 - (-19 + 6 + (1 - 9)) - -1.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1068750.2065 to the nearest 10000.\nAnswer: -1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = -y, 3*b - 4*y = -16. Which is bigger: -15\/2 or b?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8588150*b**2*q**2*u**2 - 396710*b**2*q**2*u + b**2*q*u**2 - 36*b*q**2*u wrt u?\nAnswer: 17176300*b**2*q**2 + 2*b**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from exoeooeooexx?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7929*y - 14059*y - 7899*y in the form k*y + d and give k.\nAnswer: -14029","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -9826.644778 to zero dps.\nAnswer: -9827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1410314, 2820631, 4230948, 5641265?\nAnswer: 7051582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 34652 (base 9) to base 10\nAnswer: 23132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 272 = -263, -s + 3*q + 486 = 0. Calculate the greatest common factor of s and 242.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 28.000255. What is v rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 + 363*z**2 + 1681*z - 1322. Determine v(186).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*q + 16 = 0, 3*s - 3*q + 2 = -2*q. Let c be (2\/(-6))\/(s\/30). Suppose -c*z = 3 - 8. What is the nearest to -2\/3 in -0.3, 0.4, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-276*(-576)\/(-423936))\/((-2)\/(-16)*2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1083168 divided by 7522\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/10*40\/32*28\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16061.19724 - -16061. Round q to three decimal places.\nAnswer: -0.197","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(((-2700)\/(-105))\/(-9)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27741*n + 48777*n + 1790*n.\nAnswer: 78308*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(2299))**2.\nAnswer: 82764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/14)\/(((-112)\/1344)\/((-4)\/(-48)*27))\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/29 and (-160)\/6*(-2)\/(-15).\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**2*t - 5*n**2*z + 2*n*t*z + 206*n*z - 4735554*t + 2*z wrt n.\nAnswer: 4*n*t - 10*n*z + 2*t*z + 206*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1809794766 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**5 - 2*d**5 + 6*d**5 + (3*d**3 - 3*d**3 + d**4)*(0*d + d + 0*d) + 2*d**5 + 0*d**4 + 0*d**4.\nAnswer: 4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28971451?\nAnswer: 17, 1704203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-451*l**3 + 1187*l**3 - 2*l**3)*(0*l**2 + 0*l**2 + 3 - 2*l**2)*(0 - 4 + 2) - 6*l - 4*l**5 + 6*l.\nAnswer: 2932*l**5 - 4404*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**4\/24 - 5*q**3\/6 - 12*q**2. Let w be p(11). What is the greatest common divisor of 18 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*p**5)*(119 - 49 + 98).\nAnswer: -336*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -116, -175, -234, -293, -352?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 + 20*x**2 - 343*x + 60. Determine j(9).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qggdddqdgodggoggddo. What is prob of picking 2 q?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*a + 4*v, -v = 5*a + 4*v - 5. Let g be (-2)\/a + (-14)\/(-6). Solve -4*m - 3*n = -14 - 11, -g*m - 3*n = -17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 7*n**2 + 18*n - 5. Let l(o) = 2*o**3 + 13*o**2 + 37*o - 11. Let i(s) = -6*l(s) + 13*z(s). Let x be i(-12). Let u(b) = 5*b + 1. Give u(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/10)\/(1\/2). Let y(n) be the second derivative of -3*n**3\/2 - n. List the prime factors of y(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57317359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/7, -115131, 6?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -23.3. Let g = s + -9.3. Let q = 0.8 + -0.8. Which is bigger: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240 (base 13) to base 10\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 13*m = -38. Let t be -4 - (-3 - 3)*m. Let g = -19 - t. What is the greatest common factor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**5 - 4*k + 29*k**2 + 0*k**5 - 18*k**6 - 35*k**2 wrt k.\nAnswer: -2160*k**3 - 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168824246 is divided by 9930838.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4\/5 - 8064*i**3\/5 + 7840746*i**2\/5 - 3254815872*i\/5 + 488734578387\/5.\nAnswer: 3*(i - 891)**2*(i - 453)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -9508 + 9507.94778. What is g rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 434457945*q**5 - 344789244*q wrt q.\nAnswer: 8689158900*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2365 and 23865?\nAnswer: 262515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1491446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/m**2*m*m)*m)\/(m\/m**(-6))*m**(-6)\/(m\/(m*(m*m*m*m**(-2\/9)\/m*m)\/m))*(m\/(m*m\/m**(-1\/4)))**(-40)\/(m**(3\/2)*m**(-1\/9)\/m*m) assuming m is positive.\nAnswer: m**(673\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 757 - 283. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (-16)\/(-6))*(-12 - 18). Suppose -9552 = -v*o + 36148. What is o rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.23 and -203.\nAnswer: -204.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-42)*2 - 250\/(-35). Suppose g*y + 2*y + 0*y = 0. Suppose y = w + 2*w - 162. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + -4 - (1 + -42). Solve 4*j + b = 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12116468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 40. Let q(w) = 88*w**2 - 28*w**2 - 27*w**2 - 30*w**2. Give b(q(j)).\nAnswer: 3*j**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 234083931?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -529*a**2 - 75*a**2 + 189*a**2 - 235*a**2 + 762*a**6 wrt a?\nAnswer: 91440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*t - 316 - 620. Let x(c) = c**2 + 12*c - 15. Calculate the remainder when x(13) is divided by t.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1010*c - 1034*c + 96. Solve c*q + 5*g + 0*g + 5 = 0, q - g = -8 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 0 + -1)*6. Let z be (-23)\/2 + 9\/x. Let a = 18 + z. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 1 - (-16 - -13)) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 44 = 12. Solve -4*h + u*f = -2 - 6, 4*f - 2 = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 0*q - 2\/13*q**5 + 6\/13*q**4 - 6\/13*q**3 + 2\/13*q**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 59*o**2 + 2*o. Let l be n(-3). Calculate the highest common factor of l and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 28. Let j = p - -25. Suppose 0*d + 3*y + 130 = 5*d, y = d - 28. What is the remainder when d is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - 3\/(-7)*-35?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -10 + 4 - (-6 + 5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 17*v + 10*v**2 + 76 + 4*v - 95*v - 12*v**2 = 0.\nAnswer: -38, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62 - -29 - -31)*10\/(-4))\/(5\/20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 569480?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 3*k = -48. Let a(q) = -2*q - 40. Let v be a(-18). Let y = v - k. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11249 is divided by 268?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1591 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01336721 to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 3*k - 13. Let m(b) = -b**2 + 3*b + 12. Let a(p) = -7*m(p) - 6*r(p). Let y be a(5). Solve -y*g - 3 = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 4*o - 4133965*o**3 - 18*o**4 + 4133967*o**3 + 6 + 14 + 2*o as r*o**2 + z + g*o**3 + n*o + b*o**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9)*-4)\/((-3226)\/(-24195)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 12) + -20 + 19 + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2172047 by 1.\nAnswer: -2172047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 8*m - 4*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004150?\nAnswer: 2, 5, 7, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u + 3613 - 3613.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 4*g + 5. Let r be k(4). Suppose -18 + 3 = -r*i. Is i\/(1*(-2)\/(-22)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -695, -1387, -2077, -2765, -3451, -4135, -4817?\nAnswer: -5497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n**2. Let f(x) = 113*x - 20. Let c(t) = 343*t - 55. Let z(d) = 4*c(d) - 11*f(d). What is z(o(m))?\nAnswer: -774*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + (-5)\/(-3) - 910\/(-21) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12506606 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 5 - 4*l**2 + 7)*(4 + 0 - 3).\nAnswer: -4*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.47 + -4.57. Is -4 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*n - 16 + 36, 0 = -3*i + 3*n + 12. Suppose -d = -4, i*d - 6 = -w - d. Solve 9 = w*j - k, 3*k + 2 + 1 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -734708 + 8122. Let y = 726547.9963 + d. Let a = -38 - y. What is a rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 7.4. Let i = l + -0.40062. What is i rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 - 54*s. Let k = 105 - 103. Let g(h) = -3*h**2 + 3*h**2 + k*h**2 + 0*h**2. Give g(j(d)).\nAnswer: 8*d**4 + 432*d**3 + 5832*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-50))\/(32\/(-20)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3490027 is divided by 302.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m. Let s(n) = n**2 + 9*n + 8. Let k be s(-8). Let h be k - (-2 + 0) - 0. Let l(p) = -2*p**2 - p**2 + 5*p**h. Determine i(l(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1981 is divided by 91.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 721452593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 11. Let n = w - 7. Suppose 28 = 5*q + n. Solve -q = -3*f - 17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 10 = -3*g, 4*t + 24 = -0*g + 4*g. Suppose g*u - 3*u + 24 = 0. Suppose s = -s + u. Calculate the greatest common divisor of s and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h + 461*h = -91*h - 44*h - 30422 for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/((sqrt(12)\/(6*sqrt(6)) - sqrt(2)) + sqrt(2)) - (sqrt(3)*-4*6 + (sqrt(12)\/sqrt(4) + sqrt(3))*3))*6)**2.\nAnswer: 190512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15947 + -893059\/56. Find the common denominator of -53\/48 and h.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/7)*x**(-12))\/(x**(-13\/5)\/(x\/(x**(-16)*x))))**(1\/7) assuming x is positive.\nAnswer: x**(211\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.176?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d - 57. Calculate l(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298.154 kilograms to nanograms.\nAnswer: 298154000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -4. Let d(x) = -9*x + 1. What is the remainder when d(p) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118 - -119.03. Let p = l - 0.12. Round p to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 1. Let m be 2 + (-2 - 4) + 2. Let b be c(m). Solve 3*o = -4*l - l, -b*o + 2*l = 31 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -12*x**4\/5 - 4532*x**3\/5 - 31572*x**2 - 1419756*x\/5 + 98192 = 0?\nAnswer: -340, -19, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17, -1, 5\/6, 1, 32, -3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12 + 12)\/(2 + 0). Let t be (-4)\/((-12)\/9)*(c - -1). Suppose -t*s + 33 = -12. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**3 - 3*a**2 + 2*a. Let h(f) = 9*f**3 + 5*f**2 - 3*f. Let n be (12\/(-10))\/(12\/(-30)). Let z be ((-10)\/(-6))\/(1\/n). Calculate z*i(k) + 3*h(k).\nAnswer: 2*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 9*p**2 + 8*p - 2. Let i be x(8). Let v be (-4 - i)\/((-18)\/(-4)). Which is the third smallest value? (a) -1\/5 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (47\/(517\/66))\/((-6)\/(-41))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/3941610 and 31\/14.\nAnswer: 27591270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/(-77) - ((-23)\/7 + 0). Suppose 15*q**5 - 19*q**5 + 9*q**a - 12*q + 7*q**3 - 35*q**2 + 27*q**2 + 8*q**4 = 0. Calculate q.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**5\/10 + 17*h**4\/6 - 14*h**3 - 1406*h. Solve f(r) = 0 for r.\nAnswer: 0, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (124\/(-4650))\/(5\/25*-1)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3*h - 5 + 542, -2*l = 5*h - 372. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4896 - 218*s + 4896)*(-4*s - 9*s - 6*s) to t*s**2 + i + c*s and give t.\nAnswer: 4142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/7*p**2 + 0 + 8\/7*p + 2\/7*p**3 = 0. What is p?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2. Let y = 4.5807 + -2.5807. What is the closest to 2\/7 in 0.1, s, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (99\/(-693))\/(6\/91)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -22*z + 18. Does 13 divide f(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 8*w - 4. Let s be m(-6). Let l(d) be the second derivative of 11*d**3\/6 - 24*d**2 - 26*d + 1. What is the hundreds digit of l(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 26254*k + 2310377. Calculate l(-88).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 8*o + 3. Let f = 20 + -1. Suppose 4*x + 27 = 4*z - 49, 0 = 2*z + 4*x - 56. Let q = f - z. Give g(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2433*x**2 - 397*x**2 - 404*x**2 - 395*x**2 - 402*x**2 - 427*x**2 - 389*x**2.\nAnswer: 19*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/5 and 137\/1116.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 6*i. Let l(u) = -899*u**2 + 36*u. Let m(b) = 6*a(b) + l(b). Let h(w) = 9*w**2. Calculate m(h(r)).\nAnswer: -73791*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 4:42 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61)\/(33\/((-429)\/5551))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 10 = t + 3, 2*q + 5*t = -1. Suppose q*s + s = 705. Suppose 0 = 3*i - 4*v - 310, 2*i + 0*i = -3*v + s. Round i to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -3.6. Suppose -5*w = 2*f - f - 24, -2*w = -3*f + 4. Which is the second smallest value? (a) 1\/10 (b) y (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*l**2 + 37*l**2 - 123*l**2 + 375*l**2.\nAnswer: 463*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131214442 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d**3 - 2*d**2 - 13*d - 14. List the prime factors of o(-6).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1472\/253*484\/176?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/23 + 89\/115. Let i be 1\/2 - 1\/(-2). Let v be (0 - 3) + -1 + i. What is the biggest value in v, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 + -0.11. Which is the nearest to 2? (a) s (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2065919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 65*p**4 + 32835*p**3 - 27970*p**2 - 70860*p - 10120 = 0.\nAnswer: -506, -1, -2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * 0.1.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.7 - -42.7. Let v = u + -42. Let q = 11\/24 - 17\/8. What is the smallest value in q, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + f + 1. Let d(b) = -208*b**2 + 176*b + 176. Give -2*d(w) + 352*m(w).\nAnswer: 64*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 68. Is s > -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2766 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3))**(-6\/35)\/(c**(3\/2)\/c**11) assuming c is positive.\nAnswer: c**(669\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*t + 27 = 0, -2*t = -c - 10 - 3. Let h(k) = -k**2 - 4*k - 4. Let q be h(c). Is q not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + (-5)\/40*-4*-6. Solve 0*u - k = 3*u - n, -2*u - n - 5 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + sqrt(45)\/(2*sqrt(9))*5)**2 + 5 + (sqrt(20) + 4*(sqrt(20) + sqrt(320)))*-1.\nAnswer: -7*sqrt(5) + 341\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.2 * 6.\nAnswer: -61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 7:20 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*a**3 - 139041*a - 70074 wrt a.\nAnswer: 27*a**2 - 139041","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 1:07 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 155055982 to the power of 1\/2, to the nearest integer?\nAnswer: 12452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/27))\/i**(-20)*i**(3\/4)\/i**(-2\/3))**(6\/17) assuming i is positive.\nAnswer: i**(2429\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 9:00 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 13*h**3 - 7*h**3 + 12*h**3.\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*v - 11 = 8*d, 3*v = 3*d + 6. Solve -4*l + 3*z + 29 = 0, -d*z = l - 0 + 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*t - 470*t**2 + 26*t + 3*t**3 + 36*t + 13*t + 1616*t**2 to the form i*t + a*t**3 + c + r*t**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2835.1 + -2835.100159405. What is x rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5 - 20*j**4 + 394*j**3 - 1204*j**2 - 1617*j = 0.\nAnswer: -33, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 18*p + 4. Let b be y(18). Suppose 144 - b = -20*l. Let s(j) = -j**2 - 7*j + 6. Calculate s(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5413, -13567, -21721, -29875, -38029, -46183?\nAnswer: -54337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfc when three letters picked without replacement from ccccfyyffycycyucy?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -2797 in increasing order.\nAnswer: -2797, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -138, -192, -302, -486?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46408, -92811, -139228, -185659, -232104, -278563?\nAnswer: -325036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*d - 4*f, -4*d - 4*f + 11 + 5 = 0. Let k = 0.02 + -0.12. What is the closest to -0.1 in d, -10, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 0*h**2 + 4*h**2)*(31*h - 43*h + 46*h)*(13*h + 5*h - 58*h)*(3 - 2 - 2).\nAnswer: 5440*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjnmnnmkkkhkknkr. Give prob of sequence jn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7108*i**2 - 6852*i**2 + 2.\nAnswer: 256*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 8*w**2 - 10*w - 7. Let p be j(-9). Suppose 2*y - 6 = -3*s, -3*y + y - p*s = -6. Suppose 10 - 1 = y*u. Solve -m - 12 = u*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38356603?\nAnswer: 38356603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, 9, -2.\nAnswer: -2, 9, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + d**2)*(4*d + 4*d - 5*d)*(-14 + 14 - 8*d).\nAnswer: -24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + -4*3*(((sqrt(500)*-1)\/sqrt(10))\/((sqrt(110) + (sqrt(110) - (sqrt(110) + sqrt(110)*-2)))\/sqrt(11) + sqrt(10)))**2).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/115 (b) -2\/7 (c) 3 (d) 1\/1614\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 4:54 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, 3, -133, 0 in decreasing order.\nAnswer: 3, 0, -4, -24, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 152*30\/1200 - 3\/(-15). Solve -5*j + 4*c = -10*j + 16, -3*j - v*c + 8 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13989618 and 18117.\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/6 or -149?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 1186 + 935. What are the prime factors of n?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133130 + -13?\nAnswer: 133111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 84590 divided by -7690\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*p - 144 = -17, p = 5*y - 145. What is the highest common factor of y and 1652?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 5*d - 15. Let v(x) be the second derivative of -x**2\/2 - 1072*x. Let l(o) be the first derivative of o**2\/2 - 1. What is d*v(m) - l(m)?\nAnswer: -m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -75. Let i(n) = 2*n**2 - 8*n + 32. Is 22 a factor of i(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 617 = -l, 5*l = 2*l + 3. Let b = y - -3709\/18. Let t = 0 - 0. Which is greater: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 7*j + 5. Let b(f) be the third derivative of f**5\/60 - f**4\/3 - f**3 - 26*f**2. Calculate -5*b(z) - 6*q(z).\nAnswer: z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -583 - -590. What is the remainder when 39 is divided by 16\/3*1*21\/m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65653.\nAnswer: 7, 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*a + a - a)*(0 - 4 + 6) - 5 - a + 5)*(-3*a**2 + 5*a**2 - 4*a**2).\nAnswer: 26*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 6*w = -16. Let p be 2*1*(w + 11). Let q(o) = -o - 3. What is q(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2. Let j be (-3)\/2*-2 - 1. Let h(s) be the first derivative of -2*s**2 + 2*s**2 - s**2 - 2 - j. Give h(q(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/15)\/(3\/(-60)) - 19. Let p(l) = 12*l + 192. What is the remainder when 645 is divided by p(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 11:41 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 60 = -4*a, -14 = -a + 3*a + 3*k. Let n = a + 25. Suppose -4*d = -4*q, d = -9*q + 4*q + n. Solve 7*h - 20 = d*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 5*a**2 - 8*a - 5. Let y be s(-6). Solve 5*v + 22 = 5*q - 18, 4*v = -q - y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 2:46 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 287294981 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*r - 2*q - 14, -r = -5*q - 11. Is 16 a factor of (1845\/27 - r) + (-4)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/3 - 7\/(-21). Let h(t) = -4*t**3 - t**2 + 1. Let r be h(d). Are 4 and r equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 658478 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 - -115 - (1 + -3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -36. Let r = 0 + -0.5. What is the closest to i in r, -3, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*f = 63*f - 938 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.032 - -0.148. Let l = s - 0.38. Sort -2\/19, -1.8, l in decreasing order.\nAnswer: -2\/19, l, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*t, -25 = 7*s - 2*s - 4*t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*9\/48 - 2\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6331782?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 136701737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, e: 1, q: 1, h: 5, j: 2}. Give prob of picking 2 v and 2 h.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2)*32\/(-12). Suppose 2*y + y + 2*b = 73, -s*b - 4 = 0. Suppose u + 3 = 2*l + 60, 3*u = -4*l + 131. What is the remainder when u is divided by y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + d + 2. Let y be j(-2). Let m(z) = 8*z + 1. Let x be m(y). Suppose 4*a - w - 45 = -6*w, -3*a + x = 4*w. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*n = 22, 357*n - 26 = -3*h + 359*n. Factor o + 0 - 1\/2*o**h.\nAnswer: -o*(o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from {j: 2, i: 2, l: 1, u: 9}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224961 is divided by 44992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 15*n**2 + 33. Calculate the remainder when j(-15) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q - 56*q**2 + 21*q**2 + 17*q**2 - 721*q**3 + 0 + 20*q**2 + 1 as c*q + n*q**2 + h*q**3 + b and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, p: 9}. What is prob of picking 2 l?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/(x**(-3\/4)\/x))**(4\/17)\/((x**(2\/9)*x)**(-1\/26)*(x**(-1\/3))**(-2\/53)) assuming x is positive.\nAnswer: x**(94073\/210834)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1691526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 2*n**2 + 2*n - 4. Let w be q(-3). Let f = -1.2 - -137.2. Let c = f - 141. What is the closest to w in 0.4, 7, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}