diff --git "a/data/dm_maths/full_data_1/10527_11255.jsonl" "b/data/dm_maths/full_data_1/10527_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10527_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -3*u - 11 = -2*p - 14, -3*p = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30.36 + -29.61. What is the nearest to 1 in m, -2\/3, 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -438, -899, -1360, -1821?\nAnswer: -2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 913163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 4*q**2 + 20*q + 11. Is v(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1121?\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 320750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5742\/(-4785)*(-70)\/6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -453 - -2556. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27841997 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -646*w = -23623 - 12553. Let x(l) = l**3 - l**2 + 3*l - 2. Let k be x(2). What is the highest common factor of w and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j - 9. Suppose j*n - 9 = 0, -21 = -2*i + 5*i + 3*n. Which is bigger: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 833, 942, 1123, 1376?\n\"Answer: 36*h**2 + h + 796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - p - 2. Suppose g + 5*n = 3*n + 1, -2*n - 3 = 5*g. Let f be b(g). Solve w = 2*w - f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*a**5*q**3 - 252*a**5*q + 108*a*q**3 + a*q**2 + 8*a*q - 4*a wrt a?\nAnswer: 180*a**3*q**3 - 5040*a**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 4)\/3*-2. Let p = 4 - c. Suppose -5*t - l + 60 = 0, -t + 27 = p*l + 6. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. Suppose -2*u + 2*z + c = 30, -28 = 2*u + 5*z. Is (-4)\/u - (-384)\/28 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + 67*h - 11. Give z(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117689.28 months to centuries.\nAnswer: 98.0744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 432\/24*1\/(-4)*2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1532 divide 10531095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 1. Let p be 1*-1*(1 + -6). Suppose 3*z = a + 11, -1 = -p*a - 2*z - 5. Let l(k) be the first derivative of 2*k + 1. What is a*l(d) + 2*s(d)?\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10023 + -4154. What are the prime factors of h?\nAnswer: 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-1840)\/(-207)*15\/5\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/15)\/(1\/6)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99917009 to the nearest integer?\nAnswer: 9996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10352655 to the power of 1\/2, to the nearest integer?\nAnswer: 3218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 - 9*h**3 + 82*h**2 + 1 - 82*h**2 + 2.\nAnswer: -3*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0347 * 0.7.\nAnswer: -0.02429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*t - 93*t + 5*z + 55 = 0, t + 95 = -15*z. Suppose 0*o - 20 = 2*o + 5*f, -5*o + 16 = -4*f. Sort -43, t, o.\nAnswer: -43, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 219 + 176 - 6*x + 208 - 570. Calculate m(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6787298 to the nearest 1000.\nAnswer: -6787000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuuuxuuux?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19382 - 19294. Solve -85*k + n*k + 15 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/6*(-12)\/9. Let c = p - -2. What is the tens digit of c\/(-1) - (-2 - 30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121 divided by -11896.\nAnswer: -121\/11896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 0)\/(6 + -3 - 1). Put 3, b, -0.3, 0.002 in ascending order.\nAnswer: -0.3, b, 0.002, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 - 1. Let u = -0.3 - d. Let j = -46008 + 46012. What is the nearest to -3\/5 in u, j, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6135, -12275, -18415, -24555, -30695?\n\"Answer: -6140*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 11*u - 630 = 0. Suppose -5*t + 1010 = -u. Suppose t + 21 = b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.595519g in kilograms?\nAnswer: 0.005595519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + m + 5 + 22 = 0, 3*w - 24 = -3*m. Let i = 5 - w. Suppose 5*u = -2 - 18. Put 4, u, i in decreasing order.\nAnswer: 4, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.24 - -8.239603. Round k to 5 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 + (-8)\/24. Let f(w) = 4*w**2 - w**3 - 2 + x*w**2 - w**2 + 0*w**2 + 6*w. Calculate f(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -154.642 + 156.3. Let p = -1.65799227 + y. What is p rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1790, 8309, 19494, 35339, 55838?\n\"Answer: -c**3 + 2339*c**2 - 491*c - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 8) to base 10\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 + (-3)\/6*-4 is divided by 13\/(1 - 2)*-1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.314 + 89.\nAnswer: 88.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3406926 divided by -1135642.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*v - z, 2*v = -3*v - 5*z. Let d(a) be the first derivative of 6*a**2 - 13\/3*a**3 + v + 0*a. Find the second derivative of d(n) wrt n.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 257 (base 10) to base 16\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 1 - 13, 2*v + 166 = 5*m. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.13 + 0.01. Let x = t + -4.88. Let w = 51\/5 + -52\/5. What is the nearest to -0.1 in 2, w, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r**2 + 15 - r**3 - 4*r**3 + 4*r**3 - r. Suppose -3*c + 3*u = 5*u - 40, -6 = -3*u. Let x be q(c). Solve 0 = -x*j - 0 - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -29*z - 366. What is s(28)?\nAnswer: -1178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**3 - 10*t**2 - 41*t - 52. Let i(l) = 3*l**3 + 5*l**2 + 21*l + 27. Let z(m) = 4*d(m) + 7*i(m). Let c be z(8). Which is greater: c or 35?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 928000 and 448.\nAnswer: 6496000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -2 (b) -12 (c) 3.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -280643.5\nAnswer: 280643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or -16146?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11856, -27747, -54230, -91305, -138972, -197231?\n\"Answer: -5296*u**2 - 3*u - 6557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*t = -236 + 259, 4*n + 18 = 22*t - 24*t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, 71, 0, 3, 5.\nAnswer: -11, 0, 1, 3, 5, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20630\/(-10))\/(23\/(-3)). Let l = y + -269. Let o = -3 - -2.5. What is the biggest value in 0.2, l, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*m = -21, -3*r - m - 3*m - 23 = 0. Let x = r + 17. Suppose -831 = -5*p - 811. Solve -k - 15 + 0 = -p*f, k + 5*f - x = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -560015377 + 0?\nAnswer: -560015377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 20 = -2*o, 2*o = -4*g - 27 + 49 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15204616*o**3 - 23355459*o**2.\nAnswer: -91227696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -0.336\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6046.33596 and -0.171?\nAnswer: 6046.16496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 14 = -5*u, 25 = -5*b - u - 1. Let q(l) = 15*l**2. Let f(o) = -7*o**2. Let v = -81 + 68. Calculate b*q(y) + v*f(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gogg when four letters picked without replacement from {g: 6, b: 2, j: 4, o: 1, m: 1, u: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeeeeoevevee. What is prob of picking 2 o and 2 e?\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*s**4 - 36*s**4 - 21*s**4 + (-2 + 3*s + 2)*(-2*s**3 + 5*s**3 - 6*s**3) in the form x*s + k*s**3 + g*s**2 + o + b*s**4 and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuucuuuucuu. What is prob of picking 4 u?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -26, -8, 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3063 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2387759610.\nAnswer: 2, 3, 5, 79591987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -150 times -12\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(550\/20)*(-4)\/(-2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12870, -12947, -13072, -13245, -13466?\n\"Answer: -24*x**2 - 5*x - 12841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2405439?\nAnswer: 3, 267271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 580 and 36250?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 73622832*h**2 - 14987815 wrt h.\nAnswer: 147245664*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**4*h**3 + 9254*a**3*h**3 - 2*h**3 + h**2 + 401*h with respect to a.\nAnswer: -8*a**3*h**3 + 27762*a**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*s - 681 + 681 + 5*s + 3*s - s + (-3 + 2 - 1)*(0*s - 3*s + 2*s) as h + c*s and give c.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-17.4154\nAnswer: -0.522462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -0.13\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 218, -2, -34, 2, -4 in increasing order.\nAnswer: -34, -4, -2, 2, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 19*i**2 - 6. Let k be s(19). Let m be ((-24)\/(-9))\/((-1)\/k). What is the derivative of -12 + m + 3*h**4 + 4*h**4 + 15*h**4 wrt h?\nAnswer: 88*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - h + 3. Let p(x) = 216*x**2 - 18*x + 54. Give 18*d(b) - p(b).\nAnswer: -198*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5*x**2 - 3*x**2 + 10*x**2 + 9*x**3 to z*x**3 + p*x**2 + o + w*x and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**2*j)\/j*j**(-8)\/j)**41)**23 assuming j is positive.\nAnswer: j**(-6601)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 824686*q - 824870*q = 6256 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 3*v**2 + 4*v + 1. Let q be t(4). Let r = 0 - q. Let k be (4 + -2)\/(r\/(-2)). What is the second biggest value in k, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (144\/(-45))\/(1\/5). Let x = o + 16. Let s(f) = -2*f + 10. What is the remainder when s(x) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4186087144?\nAnswer: 2, 19, 367, 75041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -24*u**2 + 34*u + 69. Determine a(-2).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 35 = h, 4*b - h - 44 = 3*h. Suppose 9*u - 165 = b*u. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in -1, 12, 1, -2\/19, 31?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2\/7*w**4 - 24\/7*w - 32\/7*w**2 - 6\/7*w**3 + 0 = 0?\nAnswer: -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i - 22*i + 3 + 17*i. Let w(t) = -1. Calculate -b(c) - 3*w(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5669\/6698 - -9\/394. What is the common denominator of o and 27\/7?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -28*h**2. Let y(m) = -5*m. What is y(n(o))?\nAnswer: 140*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39\/4*s**4 + 42*s**3 + 0 + 3\/4*s**5 + 0*s + 60*s**2.\nAnswer: 3*s**2*(s + 4)**2*(s + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from jggvvgrjlvo?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4878 + 2*j**2 + 170*j - 928 + 30*j + 474. Let b(k) = 4*k**2 + 398*k + 8847. Let f(g) = -6*b(g) + 11*m(g). Solve f(y) = 0.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 9 + -12 + (10 - (0 + -10)) + -67.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121 by 486.\nAnswer: -121\/486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdrpwpr. What is prob of picking 1 d, 1 w, 1 r, and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 27. Suppose -2*s + n*s + 12 = 0. Sort s, -0.5, -4.\nAnswer: -4, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/((4 - -1)\/(-10))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*s + 516 = 0, -6*q - 2*s + 2632 = -q. Suppose 540 = 5*b - 5*r, 0 = -17*r + 16*r + 4. Suppose 8*z - q = -b. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 - 3*n + 2. Let b(o) = o**2 - 5*o - 6. Let d be b(6). Let c be -7*(d + 1)\/1. Let h = -10 - c. Determine k(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -133.5 (b) 1\/4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 2*r**2 - r - 1. Suppose -2*q = 3*l - 2, -3*q = -l + 6*l - 4. Give s(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00184309998 to 7 decimal places.\nAnswer: -0.0018431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2))\/(33\/6270*-38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, z: 7}. What is prob of picking 1 o and 2 z?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7946921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/9533588 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1061 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-262)\/(-8)*140\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.094 - -1138735.\nAnswer: 1138735.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 62508*i**2 - 70*i + 2. Let x be a(37). Let o = 145470864 - x. Round o to the nearest one million.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 3, -12 in decreasing order.\nAnswer: 57, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413*v - 1152 = -117*v - 168*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 741120 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((0 + 2*(-6*(sqrt(832)*-1 + sqrt(832))**2 - sqrt(832) - sqrt(832)))*-5 + -5).\nAnswer: -15 + 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 1798305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 278029 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 9*m**3 + m + 0*m + 0*m - m**2. Let j(s) = -18*s**3 - s**2 + 5*s. Let y(z) = 5*g(z) - 3*j(z). What is the third derivative of y(b) wrt b?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*w + 98, -3*w - 5*p + 46 = -99. Suppose w = 5*m - 0*m. What is the greatest common divisor of m and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 9:00 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1284\/5 + 1243\/5. Find the common denominator of l and (-93)\/4 + 0 + 3 + 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v - 15 = -4*k, 4*v - 20 = -k. Suppose -3*r = -k*r + 15, 2*j = r + 51. Calculate the remainder when j is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/((-48)\/9))\/((-15)\/20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*g - 40 = 0. Suppose 0 = -v + g*i + 60, 2*i = 4*v - 2*i - 208. Suppose 0*z = 2*z - 34. What is the remainder when v is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 12:54 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 99093 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g*h**5 - 1083*g*h**2 - 2*g*h - 14*g + 2*h wrt h?\nAnswer: -40*g*h**3 - 2166*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4 = 19. Let h = 8 - r. Let t = -2008 - -2032. Calculate the least common multiple of t and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-80))\/((-12)\/10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 - 4. Let m be k(2). Let d = m + -3. Which is the nearest to d? (a) 2\/15 (b) -0.1 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -31705 and -3773396?\nAnswer: 3741691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5*(1 + -3*(1 + sqrt(539)) + -5))**2)*4.\nAnswer: 29400*sqrt(11) + 489984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pacwdeca. What is prob of picking 2 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 8*t**2 + 3*t - 3. Let r be k(-6). Let y = r + -102. What is y rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 8:37 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -313, -701, -1241, -1927, -2753, -3713, -4801?\nAnswer: -6011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3 - 36353*y**2 + 1271436*y - 11113308 = 0. What is y?\nAnswer: 17, 18, 36318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtdqdqdqdrqtrqrqqq. Give prob of picking 1 r and 1 q.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24852 + -5?\nAnswer: 24849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5 + 6 - 278*u + 6*u**4 - 5*u**5 - 223*u + 6*u**3 - 12*u**2 + 498*u = 0 for u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33030 and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 580877, 1161754, 1742631?\nAnswer: 2323508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdpldgdddplldddgdldp. What is prob of sequence ld?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 287 and 126280?\nAnswer: 126280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7280, 3.\nAnswer: -7280, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 + 790 = 20*o. Calculate the remainder when o is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29800 and 82450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -39*m + 5*m**2 + 40*m - m. Let v(i) = 3*i**2 - 72. Calculate v(d(t)).\nAnswer: 75*t**4 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 214 - 213.85. Which is the second biggest value? (a) 0 (b) j (c) 11\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from {n: 3, z: 7, m: 3}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15565423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-84))\/((-30)\/(-21)). Which is the closest to -5? (a) z (b) -3 (c) 2\/5 (d) -2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, -8, 1, 11, -1 in descending order.\nAnswer: 82, 11, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 44251 (base 9) to base 7\nAnswer: 151423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12006799?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5882*f*v + 220*v - 10 wrt f.\nAnswer: -5882*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 66 (b) -4 (c) -3 (d) -0.3 (e) -114\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnrrrrrr. Give prob of picking 1 n and 2 r.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-27)\/27 + ((-1407)\/6)\/7).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97 less than -9496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**3 - 2*l**2 - 3*l - 1. Let v(f) = -14*f**3 - 5*f**2 - 8*f - 2. Give -8*c(z) + 3*v(z).\nAnswer: -2*z**3 + z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/1809)\/(15\/2*60\/450).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 16 = -4*h, -4*h = 2*c + 3 - 15. Let i be -1 - (-5 + (2 - h)). Solve 4 = 5*k + 4*v + 2, -5*k - i*v = -4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82 and 2117835812.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235 + 946 = 104*s - 641 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (1 - 0) - (-38 - -31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 43*s**3 + s**2 - 18*s + 134. Let o be v(4). What is the highest common factor of o and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 513517 and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghuussgh. Give prob of sequence su.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 248.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + y + 454 = -2*m, 5*m + y - 1121 = 0. Let h be 5 + (-556)\/(-28) - 1\/(-7). Calculate the highest common factor of h and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19722233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/8 + (-2)\/(-8). Suppose 0 = -r*w + 1 + 2. What is the smallest common multiple of w and 2\/4 - (-144)\/32?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + 2*i**2 - 7*i**2 + (0*i - 4*i + 3*i)*(2 + 0 - 4)*(-3 + 3 + 2*i)*(8 - 5 + 5) to the form t + j*i**2 + g*i and give j.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 948090 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**2\/2 - 43. Let y(g) = -7*g. Let k = -589 - -591. Give k*m(q) - y(q).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*j**3 - j + j**3 + j.\nAnswer: -31*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and (-6)\/63 + (-1490)\/(-210)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*y**6 + 333285*y**5 - 161896*y**2 + 1 wrt y?\nAnswer: -480*y**3 + 19997100*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 8*b**2 - 3*b - 4. Let c be n(-8). What is the tens digit of (-16)\/6*(-75)\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 4*w + 13, 2*w + w - 5*f = -16 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 859 - -738. List the prime factors of n.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16678 bigger than 2297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/28)\/(1516\/254688).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28\/154 + (-394)\/(-11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37536983 is divided by 48248?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 11:48 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3 + 8 = 5*a, -4*w - 2*a = -12. Suppose -102 = w*h - 3*y, -2*y = -0*h + 3*h + 65. Is 2707 - ((-6)\/h)\/(1\/7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a4412 (base 13) in base 3?\nAnswer: 112222210020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoylsssttoks. Give prob of sequence oo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 10) + 10 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 4:53 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 987293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11780150, -23560296, -35340442, -47120588?\nAnswer: -58900734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657383709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 358847 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.68 + -0.12. Let l = -0.5 - d. Let h = 1 - l. What is h rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 10 + 14. Suppose -13 = -w*j + f + 7, f = -j. Let d = 0.05 - -1.95. What is the closest to 1 in d, -6, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(6\/5)\/r**(3\/8) assuming r is positive.\nAnswer: r**(33\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 4*c + 4, 25 = 9*m + 55*c - 60*c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8442 divided by -7?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - f = -47, u + 5*f - 11 = 4*f. Let z be 0\/((-2)\/3*3). Suppose -d = -5*c + 4 + 10, c - 3 = z. Calculate the least common multiple of d and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by 18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -394819*x + 5527476. Calculate q(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 4:57 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + 0*m + 0*m + (-1 - 3 - 1)*(-2*m - 1 + 1).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**3\/4 + 5855*t**2\/4 = 0. What is t?\nAnswer: 0, 1171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33\/68 + -4\/17. Let d = 47.82 + 0.18. Which is greater: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.15808 + 37.24192. Which is smaller: l or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427195?\nAnswer: 5, 85439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8\/11 - -13\/33. Let b = 2 + -1. Are b and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 6:05 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 78. Let n = b + -24. Let h = n - 9. Solve -v + h*v - 2*o = 10, -5*o = -2*v + 25 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 4:46 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/x**21)\/x*x)\/x*x**(2\/41))\/((x**3*x)\/x)**35 assuming x is positive.\nAnswer: x**(-5123\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45067.0688 rounded to the nearest integer?\nAnswer: 45067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9990 divided by -4995.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - -21 - (2 - -3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122638 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 9150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2647*n - 2647*n - 77361*n**2.\nAnswer: -77361*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(720)) + (1*sqrt(50))\/sqrt(10) + (sqrt(80) + 2)**2.\nAnswer: 5*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 577191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*o + 1648 = 0, -4*h + 5*o = -592 - 1029. What are the prime factors of h?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -19664*m + 59060. Determine r(3).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 431*m*r**2 + 69*m*r + 34*m + 3355*r**2 - 148 wrt m?\nAnswer: 431*r**2 + 69*r + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1121212210 (base 3) to base 15\nAnswer: -9729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4702198 to the nearest integer?\nAnswer: 2168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2531932, 2, 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(((-8)\/18)\/(-4)). Let j(m) = -8*m**2 - 1 - 2 + m**3 - 2*m**3 + 11. Is j(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0078443 to four decimal places.\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -3. Let p = 0.64 + -1.22. Let s = p + 0.18. What is the nearest to 3 in 3\/2, k, s?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 6465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 39 = -0*r - z, 4*z + 12 = 0. Suppose -6*d + 4*d = -5*o + r, -3*d = -4*o + 11. Solve 0 = 3*y + 9, o*y - 8 = -5*m + 3*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l**2 - 61*l + 10. Determine q(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138740 and 360724?\nAnswer: 1803620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 26*t**2 + 499*t. Let b(w) = -396*w. Calculate q(b(k)).\nAnswer: 4077216*k**2 - 197604*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + 2*d**2 + 0*d)*(-69 + 30*d**2 + 69) to h*d + r*d**2 + i*d**4 + s + q*d**3 and give i.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -175*j**2 - 94. Let r(t) = 263*t**2 + 141. Let v(y) = 8*l(y) + 5*r(y). Differentiate v(h) wrt h.\nAnswer: -170*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093007548 a multiple of 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -500\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 648 + -438. What are the prime factors of j?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4876313.\nAnswer: 13, 375101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 28?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242)*1 + -5 - sqrt(242)) + 4 + (sqrt(242) + 0 + sqrt(242))*4 + -2)**2.\nAnswer: -528*sqrt(2) + 15497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.14446696 to 1 dp.\nAnswer: 50.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3152.9 + 3184.9. What is the third smallest value in z, 0.5, 5, -1\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**5 - 46*f**5 + 13*f**5 + (5*f - f - 2*f)*(-5*f**4 + 0*f**4 + 4*f**4) + (2*f**2 + 0*f**2 - 4*f**2)*(2*f - 2*f + f**3))*(-1 - 3 + 3).\nAnswer: 40*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*x - 4192 = -906*x - 13678 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3806 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + 0*v**2 - 6*v**2)*(3*v**2 - v**2 + 2*v**2) + 5*v**4 + 2*v**4 - 3*v**4.\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 5:12 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {b: 7, q: 5, t: 8}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27.3 - 27. Let i = -0.41979 - -0.01979. What is the third smallest value in i, v, -1\/5, -17\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/40 in -87.6, 156, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6) - (-284)\/(-12). Let k be (-2)\/c - 28\/336. Let z be (-10)\/(-2)*3\/3. Solve 5*a + 18 + 7 = -s, k = -z*s - 2*a - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -677*x**2. Let g(y) = 2*y**2. Give g(s(i)).\nAnswer: 916658*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -22*(-132)\/(-297) + 10 + (-770)\/(-18)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2 + 16*j - 20. Let s be g(3). Let x(h) = -16*h**3 + 1. What is x(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 756 = 28*j. Solve j*g = 12*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5\/5 + 89*s**4\/5 - 954*s**3\/5 + 2338*s**2\/5 - 433*s + 693\/5.\nAnswer: -(s - 77)*(s - 9)*(s - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 356.2 + -427. Let o = k + 71. Is 0.08 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d = 17*d - 9*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r - 7. Let j(a) = a - 1. Let t(f) = -3*j(f) + p(f). Let d(o) = -o + 4. Determine 5*d(s) + 4*t(s).\nAnswer: -s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5243*f - 5*b - 358 = 5234*f, 5*f = 3*f + 4*b + 276 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 132891, 132753, 132619, 132489?\n\"Answer: 2*l**2 - 144*l + 133033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 4*g - 3. Suppose n = 4*s + 1, -3*n = 4*s - 19 - 0. What is the lowest common multiple of q(n) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28429725 and 1035?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 879633*k**2 + 1 + 26*k**3 - 2*k - 879633*k**2 - 11*k**4 in the form u*k**3 + n*k**4 + c*k**2 + z*k + r and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2167 - 4338 + 2176 + 2*y. Let k = 40 - 26. Let x be (k\/6)\/((-1)\/3). Let f(i) = 5*i + 11. Give x*p(h) + 3*f(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2709 * -3.\nAnswer: -8127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -6. Is -0.01 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/9 - 1744*h**3\/3 + 2971268*h**2\/9 + 202346656*h\/3 + 604063466\/9 = 0. Calculate h.\nAnswer: -157, -1, 1387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 6*k**2 - 8*k + 3. Let a be j(4). Suppose a*n - 898 = n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1058713.8 seconds?\nAnswer: 17645.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1355.04 plus 0.04652915?\nAnswer: -1354.99347085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 715 - 33?\nAnswer: 6d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 6*v**2 + 3. Let r = 9 + -3. Let d be g(r). Sort 5, -1, d in increasing order.\nAnswer: -1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -103.\nAnswer: 4\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 - 5*w**3 - 3*w**2 + 5*w + 4.\nAnswer: -(w - 1)*(w + 1)**2*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 92758.66 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 462 - 461.9817. What is v rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 246795*m + 823965.\nAnswer: 246795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2084 + 0.29. Let l = -0.09 - -0.17. Let p = m - l. Round p to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87922 - -87884.00062. Let d = o - -38. Round d to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -21*15\/(-45) + -4. Solve -z = 2*z - f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 5\/11, -0.5, 6630, -3?\nAnswer: 6630","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4, -4*a - 2*k - 10 - 6 = 0. Is a less than -55\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 683482*l - 2050452. Give j(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 1110*k**2 + 18051*k - 16944.\nAnswer: 3*(k - 353)*(k - 16)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 628 divided by -157\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 2. Suppose 0 = 3*k - x - 5, 3*x + 1 = 2*k - 0. Suppose -3*b + 14*b**5 + 28*b**t - 24*b**4 - 4*b**5 - 12*b**3 + k*b**2 - 6 + 5*b**5 = 0. Calculate b.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a kilogram in grams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**7\/840 + h**6\/60 - h**5\/60 - h**4\/4 - 4*h**3\/3 - h**2. Let y(s) be the first derivative of i(s). What is y(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5)\/(t\/t**6*t))\/(t*t\/((t*t**(2\/7)*t)\/t*t*t))**(5\/7) assuming t is positive.\nAnswer: t**(1303\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 - m**5 - 2*m**5 + (0 - 2*m**3 + 0)*(m**2 - 4*m + 4*m) - m**5 - m**5 + 3*m**5 + 7*m**5 + 4*m**5 - 9*m**5 + 0*m**3 + 3*m**5 + 0*m**3.\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isiisi. Give prob of picking 3 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42034 + -52?\nAnswer: -42116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*r - 13. Suppose 2*l - 71 = r*f, -3*f = -2*f - 3. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1648834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 2835399861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 23. Suppose 6*i - 5*i = z. Is 7\/3 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(-r**4 + r - r) - 3*r**4 - 3*r**2 + 3*r**2.\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2 + 8*l. Let q(s) = -9*s**2 - 16*s - 1. Let x(k) = -11*h(k) - 6*q(k). Let d be x(8). Let g be (-102)\/(-30) - d\/15. Solve 6*f + g = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -4*l - 16, 4*y = -0*y - 5*l - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*r - 6*r + 16, -x = 3*r + 2. Suppose 20 = 2*k + x*a - 6*a, 2*a = -4. What is the derivative of -10 - 6 - 21*o**2 + k*o**2 + 3 wrt o?\nAnswer: -26*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(95) + -1*sqrt(95))*-4)\/sqrt(5) - (((5 + sqrt(475)*1)**2 - sqrt(475)) + sqrt(475) + sqrt(475) + 4*(-2 + sqrt(475))**2))*3.\nAnswer: -7248 + 75*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 1:09 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 16204524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/9*c**4 - 2\/9 + 2*c**2 - 2\/9*c - 22\/9*c**3 = 0. What is c?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -20. Suppose -2*l + 3*l = v. Suppose -5*q - 75 = -l*q. Calculate the greatest common factor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 16 - 0 - -16.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-1 - 5))*(0 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9ece + -7c?\nAnswer: -a05b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand r + 3*r - 5*r + (3 + 0 - 4)*(0 + 3*r + 0) - 6 - r + 6 + (2 + 3*r - 2)*(1 + 4 - 2) - 5*r + 0*r + 3*r + 3*r + 3*r - 4*r + (3*r + 2*r - 4*r)*(5 + 0 - 4).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 627328 and 50286.\nAnswer: 543893376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -1bab43?\nAnswer: 1bab40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 7*b**2 + b - 8. Let o be k(7). Let m be ((-25)\/(-10))\/((-2)\/(-8)). Suppose -4*i = -5*c - m, -4*c + 2*i - 8 = i. Sort 2, o, c.\nAnswer: c, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.09 (b) 1 (c) -0.3 (d) 149 (e) 2\/5 (f) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c - 138. Let s(n) = -5. Let r(u) = s(u) - w(u). Give r(27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 11:10 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**2 - 52*j + 56 = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + (-4)\/1*9\/18. Is -93 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 53634 = -5*d, 47*d - 42*d = -3*s + 53638. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21704 = 520931\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = -45 - 25. Let q(l) = -l + 8. Let o be q(7). Is o != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - g = -43, 5*i = -4*g + 14 + 48. Let w be i\/(-22)*4\/10. Let m = -25 + 27. What is the second smallest value in 1\/2, w, m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onkc when four letters picked without replacement from {h: 3, b: 7, c: 3, o: 1, k: 1, n: 2}?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2732*r + 2735*r + 24*r**2 - 4*r**4 - 8*r**4 + 107*r**4 wrt r?\nAnswer: 2280*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbowh. What is prob of sequence wb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -0.05 (c) 7\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as -22500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*k**2 - 22*k**3 + 14*k**2)*(6*k - 3*k - 2*k) as f*k**3 + g*k**4 + z*k + t + b*k**2 and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, k: 1, z: 2, q: 4}. Give prob of sequence kez.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13400 and 6920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -209*m**3 - 2*m**2 - 30*m - 68. Is s(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*c**2 + 251*c**2 + 418*c**2 - 137*c**2.\nAnswer: 470*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b - 25. Let m be o(6). Let f(j) = -j + 29. Let i be f(m). Which is bigger: i or 35?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -2, -5, 50, 33, -3 in increasing order.\nAnswer: -5, -3, -2, 0, 4, 33, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-7 - 6) + (-2020)\/(-50) + -20 + -9\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-453.\nAnswer: 135.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(425)*-6 + 6*sqrt(425)*4 + -3)**2.\nAnswer: -180*sqrt(17) + 15309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 20 = r + 6*z, 4*r - 16 = 4*z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4 and 1.9.\nAnswer: -2.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/5 + 2\/5. Suppose -2*i = -o - o - 8, -2*i = 3*o - 28. Suppose -5*a = i - 18, 0 = -5*c - 3*a + 46. What is the nearest to 0 in d, c, 2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(4*b + 0*b + 0*b - 2).\nAnswer: -4*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**4 - u**4 - 14649*u - 35*u**2 + 14647*u - 558*u**5 wrt u?\nAnswer: -33480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7271881103\/4254 + 1709422. What is the common denominator of u and 19\/30?\nAnswer: 21270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110*r**4 - 423*r wrt r?\nAnswer: 1320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.31 - 0.4. What is the third biggest value in -0.1, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015382602 to 4 dps.\nAnswer: -0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2001, 3906, 5717, 7434, 9057?\nAnswer: 10586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 2084452.6.\nAnswer: -2084452.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 288645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11383 and 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-801)\/(-2403))\/(((-1)\/6)\/(6\/(-30)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 973726\nAnswer: 1\/973726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 5*z**2 + 2*z - 5. Suppose 5*s = 4*l, l + 2*l = -5*s. Suppose -2 = -2*k - s*j + 2*j, k - 7 = -j. Is v(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3. Let n(s) = 35. Let y(t) = 2*n(t) + 25*z(t). Let m(l) = -l + 4. What is -3*m(i) - 2*y(i)?\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45444 is divided by 15120?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 15*a + 6115 = -16*a, -2*a - 4892 = -4*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58 + 25 + 24)*(-4 + 1 + 1)*(-10*f + 12*f**2 + 10*f) + 0*f**2 + 5*f**2 - 3*f**2 + (-2*f + f - f)*(3 + 2*f - 3) in the form j + b*f**2 + c*f and give b.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*sqrt(1573)*5 + (sqrt(1300) + 3*(2 + sqrt(1300)) + 0)**2.\nAnswer: 40*sqrt(13) + 20836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmjwm. Give prob of sequence wm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 572542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*x = 26, -3*j + 3*x + 40 = -x. Find the second derivative of 0*f**3 - 3*f**3 - 15*f - j*f - f**3 wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38536 is divided by 12795?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -26\/685 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64592800?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/((-2)\/(-8)) + (2373 - 686\/14) is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q + 3*q - 2*q)*(1 - 3 - 1) + 5329*q - 4539*q + 10973*q as v*q + s and give v.\nAnswer: 11769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 317132262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 4:26 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330804309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9651, 9628, 9549, 9384, 9103, 8676, 8073, 7264?\nAnswer: 6219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5451 - 403.991981.\nAnswer: -5854.991981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**2 - y**2 + 0*y**2)*(0 + 0 - 2*y + (-1 + 0 - 2)*(3*y + 0*y - 4*y)).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 10*x - 12. Let f(p) = -2*p**2 + 19*p + 24. Let y(m) = -7*c(m) - 4*f(m). Is y(-5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2845\/4 + 711. Let f = -6 - -5. Put f, n, 1, 0.1 in ascending order.\nAnswer: f, n, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 77753.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15795 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -837 - 36 = 41*g + 2847 + 52 for g.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100100101100 + 10000110100100?\nAnswer: -1000011110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -w - 1140. List the prime factors of w.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56097954 divided by -4.\nAnswer: 28048977\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35111 and 5331?\nAnswer: 187176741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*c - 128, 6*f - 4*c = f + 592. Suppose 0 = 16*t - 18*t + f. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l + 2. Suppose 6*o - 90 = -30. Let y be (-7)\/(-7) - (o\/(-1) - -1). Let w(f) = 4*f + 5. Calculate y*k(b) - 4*w(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*c - 16*c + 172. Sort -8, -1, c, 2 in decreasing order.\nAnswer: 2, -1, -8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 275183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10182372660 rounded to the nearest one million?\nAnswer: 10182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 180 = -5*h. Suppose -2*a - h = 2*i, -a + 5*i + 9 = 2*a. Is -20\/13 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 401280 and 401280.\nAnswer: 401280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22234130 (base 5) to base 4.\nAnswer: -233321011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.09 - -0.31. Let o = h + 0.6. Let s = o - 4.3. Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 = -2*x - x. Let s = x - 75. Calculate the highest common factor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*r - 7*r - 13*r - 9 - 2*r**2)*(15 - 9 + 10 - 2 - 2 + 5 + (-2 + 0 + 1)*(0 + 0 + 2) - 2 + 3 + 0 - 2 + 1 - 1 - 2 + 0 + 4).\nAnswer: -32*r**2 + 80*r - 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 420\/6367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3 + d**2 + 67*d + 2 wrt d?\nAnswer: 12*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17343901 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 653207 divided by -354?\nAnswer: -653207\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f**2 - 23 + 23 + 0 + 0 - 2*f**2 + (-3 - 2 + 4)*(-2*f**2 + 4*f**2 + 0*f**2) + (f + 3*f - 3*f)*(f - f + 2*f) - 3*f**2 + 2*f**2 + 3*f**2)*(3 - 3 - f).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1949 = -662*j + 2213 + 1134 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 8*g**2 + 2*g - 6. Let a be y(-6). Let d = a - 10. Suppose 6*q = 2*q + d. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108145835 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**6 + p**4 + 15266*p**3 - p**2 + 2749*p?\nAnswer: -360*p**3 + 24*p + 91596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 3 - 9. Let j = 52 - 57. Sort j, c, 4 in decreasing order.\nAnswer: 4, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21.1, -0.4, 3 in increasing order.\nAnswer: -21.1, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131402 is divided by 263?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*g + 16*g + 30 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017275016 to 6 decimal places.\nAnswer: -0.017275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q**2 - 27*q**2 - 44*q**2 + 95*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12614420302090 - 4.\nAnswer: 12614420302086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 2351.\nAnswer: -470.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 - 22*a**3 + 1\/3*a**4 - 69*a**2 - 4\/3*a = 0.\nAnswer: -2, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggel when four letters picked without replacement from agalaleggglgggglgg?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.88*-4120.\nAnswer: -32465.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.22 + -0.02. What is the closest to q in -5, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 6. Let p be y(-9). Factor z - p + 3 + z**2 - 1 - z**3 + 0*z.\nAnswer: -(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0197*-13277\nAnswer: -261.5569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + 0*v + 2601*v**2 + 618*v**2)*(1 + 1 + 1)*(-2 + 7 - 3) in the form j + r*v**2 + t*v and give r.\nAnswer: 19314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5*y - 7 = 4*n, 0 = -5*n - 2*y - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 668 and 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-3)\/d*d*d)*d**20)**(9\/11) assuming d is positive.\nAnswer: d**(207\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21618 * 0.19\nAnswer: -4107.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 69*(-6)\/(-27) + 1\/(-3). Suppose 4*b + 89 = 249. What is the highest common divisor of n and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 6*r - 6. Suppose 2*j - 42 = -4*j. Suppose 10 = k + j. What is the remainder when 26 is divided by a(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 0.4, -3, 2, 3, 1.43?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 6841795 and 6841796 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 123 = 3*d, -3*y + 0*y + 6 = 0. Suppose -4*g = -r + 5, 3*r + 2*r - 5 = 0. Let q = d - g. What is the remainder when q is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/57 in -17252, 3, 0.2, 3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 285 - 281. Let r(f) = -2*f**2 + 13*f - 2. Let w be r(6). Suppose w*j = -5*t - 47, t + t + 2 = 4*j. Sort 5, g, t, 2.\nAnswer: t, 2, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 4*m + 4. Calculate z(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-602)\/(-196))\/(-43))\/(2\/(-12)*1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198909.6579 + 4.\nAnswer: 198913.6579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -10*q + 375. What is the highest common factor of q and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(-16\/7))**(-42\/5)\/((t\/t**(-1\/3))\/((t\/t**(1\/4))\/t))**(-23\/3) assuming t is positive.\nAnswer: t**(-1271\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 (base 13) in base 11?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 3*d - 87 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 10*l**2 + 12*l - 3. What is the units digit of u(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 390\/(-200) - 6\/(-5)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 * -826.2.\nAnswer: -132.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -u - 2, -y + 10*u - 6*u = 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 13*h**2 - 11*h + 18. Let k be j(12). Solve 5*c + k - 5 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 27.2, 2 in descending order.\nAnswer: 27.2, 2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1148651*o**3 + 3334528*o**2?\nAnswer: -6891906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 0 - 1\/8*v**4 - 9\/4*v**3 - 29\/8*v**2 + 6*v = 0.\nAnswer: -16, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - (-8 + (37 - -19))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -16399, 5 in descending order.\nAnswer: 5, -13, -16399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/1611 and -115\/204776.\nAnswer: 1842984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/43 - 38\/215. Let v(x) = -x**3 + 4*x**2 - 4*x + 3. Let n be v(3). Suppose -2*d + 3*p + n = 14, 0 = 5*p - 20. Sort 2\/19, d, u in increasing order.\nAnswer: d, u, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*u + 6 = 0, 0 = -2*b + b - 2*u + 7. Suppose 0 = -o - 0*o + 4, 2*c - 224 = b*o. Is 29 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 4*c + 90 = 0. Let m = -25 - c. What is the second derivative of 40*g**5 - 12*g - 27*g**5 - 27*g**m wrt g?\nAnswer: -280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 a, 1 b, and 1 g when four letters picked without replacement from aabqrqgqrqqabaarrrq.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1410 = -160*k + 254*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 237511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2653388 is divided by 55?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.17 + 1.87. Let o = 6.9 + -11.8. Let x = d + o. Round x to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 4, -0.3, -9, 5\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194104 divided by 2554.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1446314264 to the nearest integer?\nAnswer: 38030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 7\/3. Let k = 144\/35 - 22\/5. What is the nearest to -1 in t, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*f**2 - 5*f - 3*f**2 + 11*f - 7*f + 9*f**3 + 1 - 4*f**2 in the form n + m*f + x*f**2 + u*f**3 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2064 and 145040?\nAnswer: 18710160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -574 - -569. Sort -0.3, -15, k, 0.\nAnswer: -15, k, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 6*o**2 - 2. Suppose -q = 2*m + 4*q + 35, 3*m - 5 = 4*q. Is c(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w = 9 + 93. Let c be (-7)\/(-7)*w\/(-2)*1. Suppose c*j = 8*j - 1205. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.46, 0, -3, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2227.244 years to months.\nAnswer: 26726.928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135\/72*1284\/(-535).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.49554 - 0.51254. What is u rounded to 1 dp?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -6127*y**5\/5 - 469*y**2\/2 - 5*y - 390. Find the second derivative of t(x) wrt x.\nAnswer: -73524*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198 * 0.015\nAnswer: -2.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 17073.4.\nAnswer: 5122.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*q**3 + 143*a + 3*q**4 + 63*q**2 + 217 with respect to q.\nAnswer: 3*a*q**2 + 12*q**3 + 126*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20136 divided by -20136.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3172849 = 18*x + 3019151. Round x to the nearest ten thousand.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3950.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 6*j**5\/25 - 3*j**4\/4 + 4*j**3\/5 - 3*j**2\/10 - 8. Find a, given that s(a) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8010 divided by 5.\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2256\/(-9870)*(-21)\/6)\/((-1166)\/55).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5563186*x - 6648764 wrt x?\nAnswer: -5563186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 2242 - 2226 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -285*q**2 + 76*q + 152. Let a(v) = 19*v**2 - 5*v - 10. Let b(w) = -76*a(w) - 5*f(w). Let i(l) = 22*l**2. Calculate i(b(h)).\nAnswer: 7942*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/3 and 25\/945366?\nAnswer: 945366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 343413 and 42423.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2448624 and 2502?\nAnswer: 7345872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3333426585 a multiple of 2035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82120 is divided by 195.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 8851 = -640*o + 8461 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -q. Let f(r) = r - 13. What is the lowest common multiple of q and f(21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 40*h + 1. Suppose 3*c = 6*c. Suppose 2*s = -4*a - c*s + 2, 0 = a - 2*s - 8. Let k be t(a). Calculate the highest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -240*m. Let x(n) be the first derivative of -n**2 + 90. Give x(i(a)).\nAnswer: 480*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*g - 2*g. Let d(s) = -3*s**3 - 5*s - 7. Suppose -3*r + 30 = -3*t, -r = 4*r + 5*t - 10. Let k(i) = 2*i**3 + 3*i + 4. Determine g*k(n) + r*d(n).\nAnswer: 2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 101997232 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(242) - (sqrt(242) + 2*sqrt(242))*1 - (5 + -1 + sqrt(242))) + 2 + -2*sqrt(242) + -2 + sqrt(242) + -4)*-4)**2.\nAnswer: 7040*sqrt(2) + 62352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 0*t**3 + 7 + 0*t + 13\/2*t**2 + 0*t**4 + 3\/5*t**5. Find the second derivative of a(m) wrt m.\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 28 = 2*t. Suppose 90 = -t*y - r, 2*y + 41 = -2*r - 7. Let z = y + 25. Which is smaller: z or 24\/13?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134402278, -268804562, -403206846, -537609130?\nAnswer: -672011414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29368 minus -0.2?\nAnswer: 29368.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 6bdd?\nAnswer: -6bda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -4. Let h = l - 2. Let u = 40 - 40.5. What is the smallest value in 0.5, h, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, o: 2, m: 2}. What is prob of picking 2 l and 1 m?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1367.216 - -1257.75. Let j = u - -110.8. Let v = 0.014 - j. Round v to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 370388.1 millennia to decades.\nAnswer: 37038810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 236508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13 + (-610)\/48 - 9\/(-24). Which is the closest to 96? (a) -2 (b) 5 (c) l (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*(-5)\/(-8)*-40.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/309 and -49\/7107.\nAnswer: 7107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/57 - 175\/114. Let f = -1 - p. Let s = -4\/873 + -56729\/3492. Is s != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - 0.6. Let r = 303.9 + -307.9. Suppose 0 = -5*a, -3*d + 4*a + a = -15. Sort 0.3, d, r, t.\nAnswer: r, t, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(14\/8 - (-4)\/(-16))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 13*k**2 - 12*k**2 - 7*k**2 + 6*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1711496, -3422994, -5134492, -6845990?\n\"Answer: -1711498*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -22. Let t = 0.197 - 0.497. What is the closest to 1\/3 in 7\/6, t, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -20*f + 12. Let r(i) = -10*i + 7. Calculate 5*r(y) - 2*z(y).\nAnswer: -10*y + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 168544543*h**3 - 253087699*h**2.\nAnswer: 1011267258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/8)\/((((u\/u**(-6))\/u)\/u)\/u)*u**1*u*u**(-1\/2))\/((u*(u\/(u\/u**(-3\/2)))\/u*u)\/(((u**(-2\/11)\/u)\/u*u)\/u))**(-3\/25) assuming u is positive.\nAnswer: u**(-5881\/2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100 + 100.1. Suppose 2*z - z = 5. Which is the smallest value? (a) z (b) 1\/5 (c) k (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3\/2 - 261*x**2\/2 - 1455*x = 0. Calculate x.\nAnswer: -10, 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -0.01, -5, 1\/9, -0.4, 0.5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1654c8 (base 14) to base 3\nAnswer: -1110210002000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1817 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 14303802*s + 71519015. Calculate k(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -27*n. Let u(o) = -o. Determine u(t(m)).\nAnswer: 27*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 512*y**4\/3 - 64*y**3\/3 - 440*y**2 - 1075*y\/3 - 250\/3 = 0.\nAnswer: -5\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 1, j: 1, v: 10, z: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 - 7. Let p(m) = -m**2 + 2. Let v(q) = 4*i(q) + 14*p(q). Let s(o) be the first derivative of -34*o**3\/3 + o**2\/2 + 606. Calculate s(v(h)).\nAnswer: -136*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**5\/60 + i**4\/24 + i**3\/2 - 132*i**2. Let s = 2 + -4. Let c be a(s). Solve 5*v + 30 = c*b, 2*b + b + 12 = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6644 and 8076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 50187024\nAnswer: 1\/50187024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4097 divided by -2.\nAnswer: 4097\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*(v\/(v*v**(-1)*v*v))\/v)**30\/(v**(6\/7)\/(v*(v\/v**(-3\/2))\/v)))**42 assuming v is positive.\nAnswer: v**1329","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 1\/3*k**3 - 2 + 0*k + 0*k**2. Let c(v) = -v. Calculate f(c(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-84)\/15)\/((-12)\/30). Suppose x + 13 = 3*y. Let r = y - -19. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.853 + -11.9. Let l = -3 + 2.99. Let r = q - l. Round r to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 172*j - 129. Let h = 14 - 6. Let z(o) = -57*o + 43. Let s(t) = h*z(t) + 3*x(t). What is the first derivative of s(r) wrt r?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 6. Let g(c) be the first derivative of -5*c**2\/2 - c - 2. Does 17 divide g(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26208, 52414, 78620, 104826, 131032?\n\"Answer: 26206*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2531\/27712 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2083440373.\nAnswer: 7, 3011, 98849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 292757655 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 134 - 92 = 0. Solve 5*m = 2*m + 3*r - 9, -5*m = -f*r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 + 36*q - 184. Let w be o(4). Solve -25*y - 13 = -a - 28*y, 4*a = -y + w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + sqrt(2448)*2 + 1 + (sqrt(2448) - ((sqrt(2448) + -4 - sqrt(2448)) + 2)) + sqrt(2448) + 5)**2 + 1.\nAnswer: 960*sqrt(17) + 61265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 2. Let g(z) = 0*z + 62 + 65 + z - 126. Let o(h) = -6*g(h) - 2*t(h). Determine o(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1694, -5759, -14590, -30569, -56078, -93499?\n\"Answer: -397*z**3 - z**2 - 1283*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/20247 and 35\/2382.\nAnswer: 40494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 3*q - 27, 0 = -2*u - 33*q + 36*q + 9 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88931, -89608, -90737, -92318, -94351?\nAnswer: -96836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8192, 16234, 24284, 32348, 40432, 48542, 56684, 64864?\n\"Answer: w**3 - 2*w**2 + 8041*w + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 23*o - 842. Let n be h(37). Solve -n*i + 2*i = -7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 310 - 312. Which is the closest to 1\/2? (a) -2\/7 (b) 0.6 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282302863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8*x. Let h(o) = -o. Let g(c) = -20*h(c) + 3*u(c). Let k(a) = 9*a**2. Determine g(k(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320\/14 - (8 + 405\/105 - 12).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -160*w - 195 wrt w?\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2549383452 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qstettqqsbhe. What is prob of sequence bh?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.16 + -7.16. Let c = -1.8 - -0.7. Let f = -0.8 - c. Sort -4, f, b in descending order.\nAnswer: f, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(-2*k + 0*k + 3*k) - 4*k - 2 + 2.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**5 - 2725*t**4 + 5430*t**3 + 10*t**2 - 5435*t + 2715 = 0. Calculate t.\nAnswer: -1, 1, 543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 13*z - 21. Let n be b(-9). Find the common denominator of 28\/15 and ((-47)\/(-1))\/(n\/1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63838993 + -0.1.\nAnswer: 63838992.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**3 - 25*b**2 - 10*b. Calculate the remainder when x(-16) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 3*u - 2. Let h be w(-4). Let j = h + 9. Suppose 0 = -l + j*l - 12. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - u**5 - 2 + (-4*u**3 - 2*u**3 + 4*u**3)*(0*u - 2*u**2 + 0*u) - u**5 - 3 + 3 + 497*u**5 + 239*u**5 + 10*u**3 - 161*u**5 - 10*u**3.\nAnswer: 577*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krna when four letters picked without replacement from fffakkfaafaankafkr?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7301 - -7301.2. What is the closest to y in 3, -2\/23, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00288593 rounded to five dps?\nAnswer: 0.00289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*n**2 - 7*n**2 - 235*n**2 + 8 + 110*n**2 + 4.\nAnswer: -8*n**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**6\/6 + 32*b**3\/3 - 7*b**2\/2 - 166. What is the second derivative of j(x) wrt x?\nAnswer: -20*x**3 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 10, a - 8 = 5*z - 18. Suppose 2*q - z*q + 4*g = 10, 3*g + 1 = 5*q. Find the first derivative of 2*o**q - 3*o**2 + 4*o**2 + 0 + 1 wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0239, 0.5, 211, 5 in decreasing order.\nAnswer: 211, 5, 0.5, -0.0239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13504?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 217 - 219. Let o be (-2 - 5\/h)\/(1\/30). Calculate the highest common factor of o and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 21 + 0 + 2 - 2 - 140*c to g + u*c and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/14*(-226)\/(-30). Let m = q - -19\/10. Which is the closest to -0.1? (a) m (b) -3\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0625 * -2.4\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1094)\/(-4) - 3)\/((-1)\/4). Let l be -638817*u\/48 + 2\/16. What is l rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02598355 - -0.081.\nAnswer: 0.10698355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-375)\/(-120) - 4\/32?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**8\/56 + 5*x**7\/2 + 41*x**4\/3 - 176*x. What is the third derivative of u(y) wrt y?\nAnswer: -120*y**3 + 6300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 + 126 = 379*o - 54*o - 160 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 4*i - 16, -3*i = i + 4*x + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -524, -550, -576, -602, -628, -654?\n\"Answer: -26*f - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5\/6))**(-23))**(-8\/3) assuming p is positive.\nAnswer: p**(-460\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*n + 8 - 0, 3*n + 16 = l. Let j = -1 - n. Suppose -j*r = 2*y + 2*r - 19, 2*r = 2. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34444333 (base 6) to base 3.\nAnswer: -2000001010210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5) - (52\/(-5) - -1) - 29.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 3*x - 6*x**2 + 3*x + 0*x.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 332 or 378?\nAnswer: 332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8164 and 28260.\nAnswer: 367380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1342340 and 160?\nAnswer: 10738720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -657*f**3 - 8*f**2 + 4*f**2 + 4*f**2.\nAnswer: -657*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 571, 1278, 2267?\nAnswer: 3538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 629684435 to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8743 + -6069. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -166 - -437. Let u = k - 270.99776. Round u to 4 decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)\/sqrt(81))**2 - (sqrt(48) + (-2*sqrt(48) + 3)**2)) + (-1*sqrt(480)*4 - sqrt(480))\/sqrt(10)*-2.\nAnswer: -587\/3 + 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 21 - (-34 + (-2 - -9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1722165?\nAnswer: 3, 5, 29, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 6 + (-31 - 20).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - (-6 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -33, -5.\nAnswer: -33, -14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/11 - 53566*y**2\/11 + 107066*y - 588742.\nAnswer: 2*(y - 26761)*(y - 11)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s + 3*s - 5*s + 6*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42064?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3*l + 9 = 0, -2*f - f - 5*l = -17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from olqzzlmqrmlozl?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6171959 years in centuries?\nAnswer: 0.006171959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (3 - 16) + 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43 + -6?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1196 = 49*n. Calculate the greatest common factor of 22 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*k - 2 - 8 = 0, -k + 7 = 4*a. Suppose -5*r + 0 = 4*c - 5, 0 = a*r + 6. Let y(l) = -l**2 + 6*l - 5. Calculate y(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + 5*i + 4. Let k = -52 + 56. Suppose -17 = s - 5*n, 2*s = -s + k*n - 18. Let f be z(s). Solve 11 = -f*y + 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o\/o**(-8)))**(4\/15) assuming o is positive.\nAnswer: o**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8596\/50 + (-46)\/(-575) is divided by 53?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3419, -19023, -45029, -81437, -128247, -185459?\nAnswer: -253073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 - 40. Let q = -44 + n. Let m be 2 + (-1 + 0 - -13). Calculate the highest common divisor of q and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*n - 102*n = -4862480000. What is n rounded to the nearest 1000000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 1852, 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.03 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -26 (b) -1\/4 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**4 - 269*b**6 + 502*b**6 - 318*b**2 - 273*b**6 wrt b.\nAnswer: -4800*b**3 - 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -330, -384, -384, -312, -150, 120, 516, 1056?\n\"Answer: 3*o**3 + 9*o**2 - 102*o - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 + 4 = 0. Suppose 5*h = p + 145, -3*p - 3*h + r*h - 387 = 0. What is the common denominator of -11\/6 and (4\/(-10))\/((-24)\/p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1636.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7196 - (-5 + 12 + 6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiopiiop. What is prob of picking 3 i?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 225597\/83 + -2718. Let k = 228\/581 + w. Let f = 0.05 - 0.1. What is the third smallest value in 2\/7, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 10) to base 14\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 7. Let s(u) = -10 - 2 + 4 + u. Let f(j) = 5*r(j) - 4*s(j). What is the first derivative of f(i) wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 3327040.62715.\nAnswer: 3327042.62715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -4*v - 42, 3*v - 36*j + 4 = -35*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + 0. Let i = w - 23. Let b(u) = u**2 + 7*u + 1. Let h be b(i). Solve -2*a - h = 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 11*t**2 + 2*t - 7. Suppose 121 = -99*d + 110*d. Let a be l(d). What is the highest common divisor of 375 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**4\/2 + 11*a + 6. Find the first derivative of r(l) wrt l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**2*l*q**3 - b**2*q**2 - b*l**2*q**3 + 2*b*l**2 - 17*l**2*q**2 + 7*l*q**3 wrt q.\nAnswer: 12*b**2*l - 6*b*l**2 + 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 448?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 - 47. Suppose -b*p + 11 + 45 = 0. Solve -2*v = -p*v - 4*k - 26, v = -3*k - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21857 at most as big as -743165\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and 125.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1223 (base 9) to base 3.\nAnswer: 1020210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -12*v + 91. Let j be r(0). List the prime factors of 43017\/j + 10\/35.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k + 3 = 0. Suppose k*h = -6 + 15. Find the first derivative of 4 - 6 - 1 - 2*m**h wrt m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(6\/11)\/h)\/(h\/(h*h*h**(-8))))\/(h\/h**2*h**(2\/7)) assuming h is positive.\nAnswer: h**(-519\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2978736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/3, -2\/23, -30\/13 in ascending order.\nAnswer: -30\/13, -2\/23, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -26. Suppose -d*s = -9*s + 1265. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 9*v**5\/5 + 2*v - 7. Find the first derivative of z(t) wrt t.\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*u - 92 = 0, 2*r + 0*u = 3*u - 23. List the prime factors of r\/(-136) - 1322\/(-34).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -326*p**4 + 1099 wrt p.\nAnswer: -1304*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*i + 3 - 1, -2*i = -w. What is the remainder when 43 is divided by (-11)\/((i - 3) + 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1221, 4768, 10687, 18978, 29641, 42676?\n\"Answer: 1186*n**2 - 11*n + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1747202 divided by 1747202\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o. Suppose -2*q + 3*q = 19. Suppose 0 = -m + 2*w + 4, -w = -5*m - 8 + q. Let h(g) = -m*g + 7*g - 2*g. Determine h(k(b)).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.4496183 minutes in weeks?\nAnswer: 0.001929525625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-30)*12\/(-3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2112 by -528.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12534889 and 2.1?\nAnswer: -26323266.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197361?\nAnswer: 3, 21929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98 - -80) + 5 + 2 + 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/120 + 11\/280. What is the second smallest value in h, 5, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*j - 5220. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3388*w - 2*w**3 - 1694*w - 1694*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1702.6 - -1703. Which is the closest to -2.6? (a) w (b) -1\/3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*s - 3 - 44*s + 1 + 7 - 109*s + 192*s.\nAnswer: 3*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 81199 divided by 2070\nAnswer: 81199\/2070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65815684 and 883432?\nAnswer: 131631368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477890189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -847 + 847. Let i(l) be the third derivative of 0*l + 0*l**3 + 1\/15*l**6 + 5*l**2 + q + 0*l**5 + 1\/24*l**4. Find the second derivative of i(s) wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 10*t + 1. Suppose 2*m - 12 = -2*m. Let k be (m - 8)\/((-5)\/(-10)). Let j be o(k). Which is the nearest to j? (a) 2 (b) 1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 8:35 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5 = 5. Solve -4*u + 2 = 4*a - 2, p*a + u + 11 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -17, 2 in ascending order.\nAnswer: -17, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 less than or equal to 762757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -104, 181 in descending order.\nAnswer: 181, -7, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/6 and 143\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3352, -3975, -4994, -6409?\nAnswer: -8220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 1 - 48\/((10\/(-20))\/(2\/8)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -457 - -467. Suppose -8*w + 9*w + 4*l + 83 = 0, 2*l = -o. Round w to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 7:00 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 6436209149.\nAnswer: -6436209148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f - 21. Suppose 5*i - 4*b = 48, 32*i - 5*b - 33 = 28*i. Determine y(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -381*v + 385*v + 24 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39981 is divided by 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0 + 52 = 0. Suppose 2*p - 13 - v = -4*k, -21 = -3*k - 2*p. Find the third derivative of -k*z**3 - 468 - 15*z**2 + 468 wrt z.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.319683 and -80359.\nAnswer: -80357.680317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25955 + -25955.13. Which is the closest to 0.4? (a) y (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 12:21 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8714 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-15 - -11) - 0 - -20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -9 + (5 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2485142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -12 - (1 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -8500000*v**3 + v**2 + 2*v + 1. Suppose 9*w - 5 = 4*w. Suppose 0 = x - 0*x + w. Let c be r(x). What is c rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u**2 - 13*u - 1. Suppose 0 = -4*g + g + 12. Let x(c) = -4*c**2 - 12*c - 2. Let f(y) = g*x(y) - 3*a(y). List the prime factors of f(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.4 + -0.8. Let o = -6 + z. Which is the second smallest value? (a) -0.3 (b) o (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 61, 2, -143, -404, -811, -1394?\nAnswer: -2183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -34899999 - (-5 - -2) - 4. What is w rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + -1 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 16 + -10 + 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-103 + 105)) + -48.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 478 and 16491?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*b**5 + 125*b wrt b.\nAnswer: 1040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3928899?\nAnswer: 3, 13, 100741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*u - 4 = 0, 0 = 5*o - u - 566. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20 = 5*a, 4*a = 2*a. Solve 3*p + 8*d = 5*d + 24, -3*p = -i*d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 12252, 1\/2, 8\/7, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 803.98728ns to hours.\nAnswer: 0.0000000002233298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence safy when four letters picked without replacement from zysfaaafsaryff?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) -58 (c) 0.5 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2320)\/3712)\/((165\/(-48))\/5).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 340174516 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -672 - -670. Let o(i) = 4*i**3 - 6*i - 3. Calculate o(g).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1791 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(((-266)\/(-28))\/19)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 28 + -1940 + 1907 + -65.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-1)*(-18)\/108*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/2))**50\/((a*a\/(a**(-17)*a*a))\/a*(a*a**(-2))\/a))**(4\/31) assuming a is positive.\nAnswer: a**(-356\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 211*q + 6. Let p(g) = 2*g**2 - 430*g + 13. Determine -13*c(v) + 6*p(v).\nAnswer: -v**2 + 163*v","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -17478 + 270.\nAnswer: -17208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1\/(-1 + 55770\/55768) - (-58 + 55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26 + -1 + (-2 - -5). Solve 5*v + 8 = b, -2*o - 3*v = -8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90414480 divided by -3767270.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1*sqrt(931))**2 - (6*(sqrt(931) + -1 + sqrt(931)))**2) + 3.\nAnswer: -133170 + 1008*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 147\/352252 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36617*l**2 + 28*l*y - 79452922*y - 1 wrt l.\nAnswer: -73234*l + 28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3722 - -3721.984. Is -36\/5 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -29. Let d be (-1)\/((-6)\/(i\/182)). Is 0 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -159314.446 to the nearest 100.\nAnswer: -159300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -718, -716, -714, -712?\n\"Answer: 2*o - 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 10:09 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 8*q + 12*q)*(-27 + 14 + 43 + 42 + 26) to y*q + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*y - 92, 7*u + 8*y = 3*y + 216. Let q = 12 - 2. Let t = q + -3. What is the greatest common factor of u and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1284*h - 209845. Calculate p(163).\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 223823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, l: 2, u: 1, t: 1, m: 2}. What is prob of sequence lel?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59416964 by -4.\nAnswer: 14854241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2141 - 2040 + 4181 + 141*w**2.\nAnswer: 141*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1185150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 12 - -26 - -33 - ((1 - -8) + 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1*2\/2)\/(6\/12). What is the remainder when 19 is divided by ((-26)\/4)\/(t + 3\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.11393ms to seconds.\nAnswer: 0.06611393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**5\/25 - a**4\/10 - a**3\/5 - 131. Factor f(j).\nAnswer: j**2*(j - 3)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)\/i*i**(-2\/9)\/i*i**(-2)\/(i\/(i**6\/i)))**(4\/15) assuming i is positive.\nAnswer: i**(-52\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 15*n**2 + 21*n + 24. Suppose -4*m - 105 = 3*m. Let s be c(m). Is s\/(-3) + (-5 - -2 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -579, 1992, 10839, 29088, 59865, 106296?\nAnswer: 171507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - (-12 + 12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1890\/(-360)*1\/3*-8. Suppose 2*t + 15 = -3*t. Let n = 5 + t. What is the highest common factor of n and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -144*r**3 - 34*r**2 + 12*r - 1. Is f(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*((-5 + 2 + 2)*(-2*w + 3*w + 4*w) + (4 - 1 - 2)*(-2*w + 2*w + 2*w) + (2 + w - 2)*(2 + 1 + 16) - 4 - 2*w + 4 + 2*w + 0*w - 4*w).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21057 + 71151 = 9*r + 13152. List the prime factors of r.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1126358 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(10\/9))**45\/((d\/(d*d**(4\/13)\/d)*d)\/d**35))**50 assuming d is positive.\nAnswer: d**(18400\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 245.\nAnswer: 122.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 132*n + 4616. What is the thousands digit of d(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25\/10*(-1)\/((-1)\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + -1. Let v = -0.21 - q. Let t = -0.81 - v. What is the third biggest value in -0.3, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 27\/(-14))*(133 + -119)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1120*q - 638*q - 4827*q to the form d*q + f and give d.\nAnswer: -4345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 19096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0.4, 39 in descending order.\nAnswer: 39, 0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3897 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 22\/9, 3, 4\/9, -0.4, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/6 + -1\/10. Let y be (2\/45)\/((-1)\/6). Let p = o + y. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 30*j**2 + 425*j - 2505. What is a(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/7)\/(5 + (-276)\/56). Suppose -m = o - 22, a*o - 76 = -3*m + 3*o. What is the highest common factor of 45 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24684023 - 24684030.8999993. Let t = 7.841 - -0.059. Let n = t + x. Round n to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 1900 = -5*h, 119 = -h + 4*s + 514. Is h a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7*(-8)\/(112\/(-98)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -289, -1141, -2553, -4519, -7033, -10089?\nAnswer: -13681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*sqrt(153)*1*6)\/(sqrt(45)\/sqrt(5)*-2 + ((sqrt(63) - sqrt(315)\/sqrt(5)) + sqrt(63))\/sqrt(7)).\nAnswer: -72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-86)\/430)\/((-4)\/40*-14)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, c: 5, x: 4}. Give prob of picking 3 x.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 7:53 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/2? (a) 3 (b) -0.4 (c) -1 (d) 2\/11 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.8005292 to 1 decimal place.\nAnswer: -102.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3))**28\/(r**7*r**(-2\/23)*r) assuming r is positive.\nAnswer: r**(-1190\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**4\/10 + 44*r**3\/5 - 557*r**2\/5 - 1244*r\/5 - 1287\/10 = 0.\nAnswer: -99, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + -1*sqrt(19) - ((sqrt(152) - sqrt(152)*-1) + sqrt(152))\/sqrt(8)*2.\nAnswer: -7*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022 - -10101121?\nAnswer: 10111220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -274 - -273.9998923. What is p rounded to 6 dps?\nAnswer: -0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -124563 - 38297. What is k rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5613664 (base 7) in base 14?\nAnswer: 1406db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4004939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1132*u + 17057. Suppose k + 2*k - 135 = 0. What is the remainder when s(-15) is divided by k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c**5 - 212*c**4\/5 + 204*c**3\/5 + 496*c**2\/5 - 406*c\/5 - 12\/5 = 0 for c.\nAnswer: -3, -2, -1\/35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -5. Let r be 5 - (6*-1)\/(-2). Which is the closest to -0.1? (a) r (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 2.8.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81258574 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42.52 - 42.56. What is the smallest value in -22, l, -0.4?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - -4. Let t = h - 7. What is the least common multiple of 8 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = x - 3, 4*z - 8 = 0. Suppose -3*f = 3*c, -5*f + 15 = 4*c - 6*f. Calculate the least common multiple of x and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 10. Let b be (-3)\/w - 83\/(-2). Suppose -4*x + b = -3. Calculate the remainder when x is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7382907 to the power of 1\/2, to the nearest integer?\nAnswer: 2717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 1. Let c = 24 + -28. Let o(v) = v**2 + 6*v + 5. Let b be o(c). Let n be t(b). Is -1 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r + 20. What is u(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25341 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7ca5 (base 14) to base 11\nAnswer: -15342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -45*n - 22. What is the remainder when y(-10) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -25*r**4\/6 + r**2\/2 - 1492*r - 2. Determine q(1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50287?\nAnswer: 50287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 26 = -26 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15023.\nAnswer: 83, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 2, -0.00969305, 0.37?\nAnswer: -0.00969305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056744389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 29. Let y = -131 + 117. Let f = x + y. Which is bigger: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (1 - 0 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -278*l - 587. Determine v(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.45 and -3417.19?\nAnswer: 1537.7355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = -2*i, 3*i - 6*i = -2*v - 3. Solve 5*w = -v*q + 15 - 2, q = 4*w - 24 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 8*d + 2. Is h(5) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + -3)\/((-2)\/(-6)). Is 3\/b - (-830)\/25 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a - 6 - 59 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 7 + (2 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*d + 62 = 193*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 56*q**2 + 26*q - 10. Let f be v(-2). What is the greatest common factor of 1350 and f?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83584039.\nAnswer: 7, 11, 401, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 0)*(-20 + 22). Suppose u*r = -s - 118, 0 = -4*s + r - 4*r - 447. Let m = s - -176. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1573) + sqrt(1573)*-3)**2*-6 - ((-1 + (0 + sqrt(13) + sqrt(13))**2 - sqrt(13)) + (sqrt(156)*5)\/sqrt(12)).\nAnswer: -37803 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -348, -702, -1058, -1416, -1776?\nAnswer: -2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 345 - 343. Let x(l) = 2*l + 9. Let y be x(-6). Let u be 10\/(-35) - (-18)\/14. Sort v, y, u in descending order.\nAnswer: v, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11214 and 63?\nAnswer: 11214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17828*u**3 - 22*u**2 + 8917*u**3 + 8915*u**3 - 3*u**2.\nAnswer: 4*u**3 - 25*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 - 4*x**2 + 4*x**2 + (3*x**5 + 2*x**4 - 2*x**4)*(-5 + 1 + 5).\nAnswer: 4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(-3\/8))**(-2\/27)\/((a**(-1\/4))**(2\/83)*a**(3\/5)*((a*a\/(a*a**(-2\/3)*a))\/a)\/a) assuming a is positive.\nAnswer: a**(1841\/2490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 3:12 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 9*a - 2. Let k be (3 + -4 - 3)*2. What is the smallest common multiple of x(k) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kiikiiikkkkki?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-141)\/12*4. List the prime factors of (-1)\/(f\/(-16) + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-76)\/56*2. Let j = -0.4 + 0.1. Which is the closest to u? (a) -2 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10749 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: Suppose -d = -5, z + 3*d - 164 = -d. What is the second derivative of z*p**4 + 19*p + 13*p**3 - 14*p**3 - 56*p wrt p?\nAnswer: 1728*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 28992, 57987, 86982, 115977?\n\"Answer: 28995*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/2*(-36)\/10. Let v = -1261 - -1267. Calculate the least common multiple of v and 12\/k - (-6)\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 2*l - 4. Give m(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 447 = -y - 5*v, v = 0. Let p = y - 97. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 322 - 319.93. Let y = -0.07 + c. Let x = 1 - y. What is the closest to 0.1 in -2\/7, 5, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 6*l. Let u be b(-5). Suppose 32 = -u*n + 3*n. Let w = n - -30. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 267004122 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y + y + 3*y + 9*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnrlnrrnnnnnzrrn. Give prob of sequence lrnl.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -205*o - 18*o**2 + 206*o + 0*o**3 + 0*o**3 - 115*o**2 - 2*o**3 to the form u*o**3 + t + g*o + c*o**2 and give c.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.84377 years in months?\nAnswer: 994.12524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2118 = 3*q, -2*l - 4*q = -7*l + 3494. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + b**2 - 4*b)*(-10 + 5 - 4 - 2*b).\nAnswer: -2*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 5. Let j = b + 6. Let q = -2 - -15. Solve -w = -5*a + q, -a + 10 = a + j*w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven sevenths of a week?\nAnswer: 15840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/79904268 and 39\/48830386.\nAnswer: 878946948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1560 - -1559.96118. Round m to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.85 and 879.\nAnswer: 878.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -152*g - 744. Let d be t(-5). Solve x = -q, d = -2*x + 4*x - 2*q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64*r**2*t**2*w**4 + 17*r**2*w**2 - 2*r*t*w**2 + 40*t**2*w**3 - 26*t**2*w**2 wrt w?\nAnswer: 1536*r**2*t**2*w + 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**5 - 56*a**4 - 209*a + 2.\nAnswer: -20*a**3 - 672*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 bigger than -430980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1434, -10573, -35350, -83583, -163090, -281689, -447198, -667435?\n\"Answer: -1303*n**3 - n**2 - 15*n - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 707*w**3 - 1412*w**3 + 4 + 692*w**3 + 6 + 5*w - w**2. What is the hundreds digit of j(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*l - 32 - 16. What is the nearest to 4 in 1, l, 5, -2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -35*x - 175. Let z be c(-6). Solve -5*r = 5*g - z, 4*r = r + g + 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h - 2*h + 2*h)*(-h + 4*h - h) - 761*h**2 - 773*h**2 - 1111*h**2 - 353*h**2 + 204*h**2 to f*h**2 + j*h + v and give f.\nAnswer: -2798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 2:45 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -1)\/(1\/(-3)). Solve r*d = 5*m + 15, 3*m - 5 = -0*m - d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 15515*y**2 - 387250*y.\nAnswer: -y*(y - 15490)*(y - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 2902129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69196722?\nAnswer: 2, 3, 7, 373, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*5\/45)\/((-4)\/4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2893747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-10)*(-3)\/((-18)\/15). Let s(j) = j - 15. Let w be s(h). Is w < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -297.55 + 305. Round g to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 387, -1, -0.3?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 217 (b) -5 (c) 6311\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -161 + -1341\nAnswer: -1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16740 and 255960.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/14*2 - 198\/(-7). Let w be (-21)\/v - 11\/(-4). Suppose -3*g = -2*o + 78, 0*o - w*o - 2*g = -78. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 286197343 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in months?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5154000 to the nearest 100000.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3430 (base 8) to base 6.\nAnswer: 12224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98142.\nAnswer: 2, 3, 11, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7 + h - 3*h + 3*h. Let f be (-2)\/(2\/(-5)) + 1. Determine c(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (35\/30 + 5\/(-3))*(-16)\/2. Solve 5*b - 16 = -t*p, 0 = 9*p - 7*p + 2*b - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9}. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.63 - 0.43. What is the third biggest value in -3, i, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 5. Give d(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136913565?\nAnswer: 3, 5, 883, 10337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b (base 16) to base 6.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/240)\/((-9)\/21) - 6\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q + 10746666 = 49*q + 122*q. What is the ten thousands digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 11. Let d(x) = x + 2. Let r(q) = 3*d(q) - i(q). Let c be r(3). Solve 2*v - c = -9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -4 (b) -0.06 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2de (base 16) to base 2.\nAnswer: -1011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.53 + -169.9.\nAnswer: -168.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/98)\/2 - (-36)\/(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 3, -3, -5, 1\/7 in decreasing order.\nAnswer: 3, 1\/7, -0.6, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 - 5*d + 5*d)*(d**3 + 5*d**3 - 3*d**3) - 11*d**5 + 3*d**5 + 4*d**5 + (-3*d**4 + 4*d**4 + 0*d**4)*(3*d + 2*d - 2*d).\nAnswer: -10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -9, -17, -0.5, 0.0661, -0.06?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c - 4*c + 2*c - 4*c + 3*c + 0*c + (1 - 4 + 1)*(-c + 3*c - c) + 12*c - 15*c + 38*c + 66*c - 196*c - 1 + 0.\nAnswer: -96*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91 and 130?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 58400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 12 = -3*p. Let r be 18\/12 - 10\/p. Solve -18 - 2 = r*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -421a?\nAnswer: -4224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 124*c**2 + 0*c**6 + 0*c - 1\/3*c**3 - 11\/105*c**7 + 0 + 0*c**4 + 1\/5*c**5. What is the third derivative of w(g) wrt g?\nAnswer: -528*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 13*x - 59. Suppose 13 = -z - 3*l - 11, -5*l - 82 = 4*z. Let k be u(z). Solve 3*a - 5*g = k, -5*a + 0*g = 5*g + 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6616, -13232, -19848, -26464, -33080?\n\"Answer: -6616*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 21*v**2 + 18*v - 18. Let h(y) = y**2 + y - 1. Let q(t) = 38*t + 229. Let b be q(-6). Give b*d(w) - 18*h(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1037*v + 3831*v - 1316*v - 1224*v.\nAnswer: 254*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13af - -3?\nAnswer: -13ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*g - 7, 5*g = 2*g + 3. Let u(b) = b - 3 + h*b + b**2 + 1. Is u(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/49836 and 139\/448524.\nAnswer: 448524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1300)*-3 - (sqrt(1300) + ((-1 + sqrt(1300))*-1)**2)) + -4*sqrt(1300)*-2 + (sqrt(1300) - (sqrt(1300)*2 + 4)) + -4.\nAnswer: -1309 + 140*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - 2. Let u be c(2). Suppose u*b + 143 = 353. Let s be (-57)\/b + 6\/15. Is 0 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -219*x**3\/8 + 14695107*x**2\/8 + 7750275*x\/4 + 100653 = 0. Calculate x.\nAnswer: -1, -4\/73, 67102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 11*b**3 + 2*b**2 - 3*b + 2. Let y be w(2). Suppose -y = -3*l - 2. Suppose 2*i = -i + l. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/3 + 3\/9. Suppose -2*k + 2*n - 2 = 0, 5*k - 2*n + 4 = 2. Suppose k = 2*d - 0 - 4. Solve 6 = -d*b + j*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and -52.34.\nAnswer: -1308.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*k - 2*k + 52731. Does 63 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/1*39\/6. Suppose 5*l - 1182 = 3*q, -2*l - 3*q = -3*l + g. Let m = -165 + l. What is the greatest common divisor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 11*t**2 - 36*t. Let p(s) = 12*s**2 - 40*s. Let b(w) = -10*n(w) + 9*p(w). Let x(u) = -16*u**2 + 38*u. What is x(b(z))?\nAnswer: -64*z**4 - 76*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 - -203. What is the highest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 2*i + 1. Let n = -480 - -483. Let x(y) = -2*y**2 + 2*y - 2. Give n*z(p) + 2*x(p).\nAnswer: 2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 631264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**2 - 3*h**2 - 3*h**2 + (1 - h**2 - 1)*(-141 - 18 - 15) in the form f*h + n + k*h**2 and give k.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.155736 weeks in nanoseconds?\nAnswer: 94189132800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - g - 11*g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(72) - sqrt(18) - (sqrt(18) - ((-1*sqrt(216) - sqrt(216)) + sqrt(216))\/sqrt(12)))\/((sqrt(6) - (-5*sqrt(216) - sqrt(6)))*3).\nAnswer: -3*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 11*f**4\/24 + 8*f**2. Let w(g) = 3*g. Calculate w(i(h)).\nAnswer: 33*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2414 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 33347345.\nAnswer: 66694690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q*s*z + 194503*q*s + s*z - 11883*s wrt q?\nAnswer: s*z + 194503*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, h: 5, i: 2}. What is prob of picking 4 h?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five quarters of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 + -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496*q = -458*q - 228 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddaada. Give prob of picking 1 d and 3 a.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**2 + u - 15. Let p be h(3). Suppose 19*m = -5*o + 14*m + 40, -5*m = o - 20. Sort p, o, -3.\nAnswer: -3, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93182 and 8?\nAnswer: 372728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 15*k - 14. Let c be z(2). Suppose -2*a - 4*t = -310, 3*t = -c*a + 17*a - 175. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8759 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -18*w + 9*w. What is the remainder when 76 is divided by (1 - w)\/(-3)*-13?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x. Let i(a) = -8*a. Let d(s) = -7*h(s) - 6*i(s). Suppose 59*z - 3 = 58*z. Let y(g) = g - 5*g + 6*g + z. Determine y(d(b)).\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 54\/5 of a microgram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 11:35 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) - (-5)\/10*1. Sort p, 19, 5, 0.1 in decreasing order.\nAnswer: 19, 5, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*(-4)\/1. Suppose 5*g = -5*x + 50, 2*x = -3*g - g + 28. Suppose 2*q + 3*f = -4, -3*q + 2*f - x = -f. Is p >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 9, -83, -14 in increasing order.\nAnswer: -83, -14, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -7. Suppose -2*o = -5 + 1. Let u(r) = -r**o - 4*r**2 + 2*r**c - 1 - r + 4*r**2. What is u(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-8) + 225\/60. Sort -3, -83, w in ascending order.\nAnswer: -83, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2523253189.\nAnswer: 2523253189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 13*z + 3. Let b be w(0). Solve d - b*d = -8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 1557147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1830090\/671510 + (-437)\/161\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v. Let n(z) be the third derivative of 9*z**5\/10 + 2*z**2 + 42*z. Give n(o(d)).\nAnswer: 486*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 228 and 190.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o**2 + 3*o - 3. Suppose -q = -2*q - 4. Let c(u) = 9*u**2 + 4*u - 4. Let m(h) = q*b(h) + 3*c(h). Let p(a) = a**2. Calculate p(m(w)).\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/12 + 5997\/(-12). Let w = r - -949. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 4*c + 6 - 3, -5*s = 8*c + 41 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2410 - 2376. Solve 4*c = m - 3, 5*m + 2*c - o + 19 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25134 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: Two letters picked without replacement from {w: 4, g: 1, s: 2}. What is prob of sequence sw?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.676506km to meters.\nAnswer: 676.506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/3 (b) -0.17 (c) 1\/4 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**8\/3360 - a**7\/1260 + a**6\/360 - a**5\/120 + 2*a**4 + 18*a. Let t(v) be the third derivative of o(v). What is t(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (4 - (5 - 0) - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.3, -4, 3\/5, -970?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blg when three letters picked without replacement from {b: 1, l: 4, w: 2, g: 4}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 5 in decreasing order.\nAnswer: 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 0, 4*s + 3*l - 8*l = 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -150 + 168. What is the tens digit of (-2)\/(r\/(-807)) - (-42)\/(-63)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1665*k + 5420. Does 136 divide o(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (10 - 15 - -9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -10 - -8) + -14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, 847, 1912, 3405, 5326, 7675, 10452?\nAnswer: 13657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -2*u - 22, -3*u = 2*z - 5*u - 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21b886 + 5?\nAnswer: 21b88b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**4\/22 + 218*z**3\/33 + 215*z**2\/11 + 214*z\/11 - 329. Factor m(c).\nAnswer: 2*(c + 1)**2*(c + 107)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86*w**2 + 1117*w - 1117*w - 1)*(-4 - 2 + 3).\nAnswer: -258*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 193*f + 55. Let y(u) = -2*u - 17. What is -g(v) - 4*y(v)?\nAnswer: -185*v + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.825155 nanograms in grams?\nAnswer: 0.000000007825155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -361*c**2 + 1. Let t(s) = 10093*s + 1. Give t(u(w)).\nAnswer: -3643573*w**2 + 10094","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 57 = -28 + 31 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 + 0.2. Let l = u + -0.45. Which is the second smallest value? (a) l (b) -2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3617 + 863 = -9*a. What are the prime factors of a?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -687*l - 1073*l - 329*l - 254*l.\nAnswer: -2343*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -20 (c) 4 (d) 1.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4)*0\/(-2). Is 10 a factor of (-1)\/(q - -1) + 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - 200\/130*-13.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**4\/12 - j**3 - 3*j**2 - 2*j. Suppose 18*p + 10 = 16*p. Determine l(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3401*m**2 + 8*m + 4. List the prime factors of h(-1).\nAnswer: 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 53110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**2. Suppose 22 = 2*s + v, 0 = s - v - 0*v - 8. Let l(f) = -14*f**2 - s + 10. Let c(a) = -a - 2. Let b be c(-6). Determine b*l(o) - 11*k(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 196615407 to the power of 1\/3, to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 248108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 10503216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 5:52 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1202 - 267433.\nAnswer: -266231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 7*a - 78. What is the lowest common multiple of a and 16 - (-3 + (-6 - -9))?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u + 1. Suppose 23*d - 18 = -110. Determine m(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*p + p. Let b = -1 + -5. Let w be (-2)\/(-4) - 27\/b. Which is greater: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5036*q + 160 = -5056*q. Let t(p) = 3*p**2 + 24*p - 3. Calculate t(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*j - 1. Let v be j\/4 - (-30)\/8. List the prime factors of (10\/v)\/(2\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s**2 - 6*s - 6. Let r(z) = -z**3 + 4*z**2 + 6*z + 5. Let o be r(5). Suppose 0 = k - 3*k + o. Let b(h) = 5*h**2 - 5*h - 5. What is k*b(i) - 4*x(i)?\nAnswer: i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 1009*m**2.\nAnswer: 1009*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -23*v**3 - v**2. Let h(o) = o**3 - 4*o**2 - 6*o + 4. Let i be h(5). What is the tens digit of z(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 92202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8*q. Let k be c(1). What is the remainder when 33 is divided by (-18)\/(-2) + (k - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p + 0*p)*(2*p - 2 + 2) - 1 + 1 + 2*p**2 + (-2*p + 4*p + 0*p + 1 - p - 1 + (3 + 2 - 3)*(0*p + 0*p + 2*p))*(-2*p - 9*p - 15*p).\nAnswer: -124*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - p**2 + 0*p**2)*(0*p**2 + 2*p**2 - 6*p**2) - 2*p**4 - 2*p**4 + 8*p**4 + 6*p**4 - 2*p**4 - 3*p**4.\nAnswer: 13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 10:46 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515*g + 500*g = -189090. Is g a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 889176206 to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 11200?\nAnswer: -11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2. Suppose z = -7 - l. Which is smaller: z or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) -289 (c) 0.09 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2\/5 - 4*w\/5 - 6\/5 = 0 for w.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3722*s - 33493. What is h(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.82 - -0.18. Which is the nearest to 2? (a) 5 (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 11*h**2 - 4*h + 23. Let q be (-50)\/12 + 9\/54. Calculate the remainder when n(q) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51499857055 minus 437?\nAnswer: -51499857492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10170)\/18080 + (-2716)\/64.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.7 (b) -1\/9 (c) 1\/5 (d) -832\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u**2 - u**3 - 2*u - u**2 - 6 + u**2. Let r be i(6). Suppose 3*l = -0*l + r. Solve -2*c - 3*k + 5*k = l, 0 = 4*c + 5*k - 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1010011000110?\nAnswer: 1010011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1260000 to the nearest 10000.\nAnswer: -1260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88508682 divided by -9834298.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 93705720 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -2107?\nAnswer: -2108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2. Let r(l) = -3*l - 1. Let z be r(-1). Let g(y) = 2*y**2 - 2*y**z - 2*y**2. Determine k(g(m)).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 394*x**7\/21 + 3701*x**3\/6 - x + 465. What is the second derivative of h(z) wrt z?\nAnswer: 15760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 26*o**2 - 24*o + 6. Let j(u) = 9*u + 56. Let y be j(-9). Let b be v(y). Let s(x) = -x**2 - 16*x + 64. Is s(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2. Let k(c) = c + 6. Let h be 1\/2 + 15\/(-6). Let m be 1*(-2)\/(h\/5). Determine m*y(v) - 2*k(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-3 - (-6 + 13) - -16) - 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/5567 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6336 divided by 1584.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7387 and 267?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w + 126*w**3 + 10*w - 130*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 81.31066 kilometers?\nAnswer: 81310660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000214084513 to 6 decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)*3 + sqrt(11) + (sqrt(11) - (-1*sqrt(66))\/sqrt(6)).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**7\/378 + y**6\/270 - 11*y. Factor r(d).\nAnswer: -d**4*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 12:21 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2*a**4 + 4 - 5*a**4 + 3*a**3 + 2*a + 0*a**2 - a**2 to k*a**3 + f + u*a**2 + z*a**4 + x*a and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + (-90 - -52) + -45?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*g - 103 = g, -5*g = 5*x - 275. Let o be (-2)\/13 - x\/(-13). Calculate the greatest common divisor of o and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8609*w**6 + w**3 + 2*w**2 - 184*w + 7.\nAnswer: -1033080*w**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66986 + 99271. List the prime factors of a.\nAnswer: 5, 11, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32935491 is divided by 133?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2\/11 (b) 2\/3 (c) 0.12 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2967 is divided by 316?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 - 775*o**3.\nAnswer: 5*o**3*(o - 155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8750753 and 7159707?\nAnswer: 78756777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163996852 to the nearest integer?\nAnswer: 12806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 10*u**2 - 2. Let l be o(-10). Let j = l + 2. Suppose j*n + n - 3*c - 25 = 0, -20 = 4*c. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 7 + 7*l + 5)*(-12*l + 11*l**2 + 12*l)*(-4 + 2 + 4) as k*l**3 + j*l**2 + z*l + a and give k.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 979.8508 milligrams?\nAnswer: 0.9798508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -1\/2 (c) 0.0246 (d) -5 (e) 13 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/30 and 29\/6885.\nAnswer: 13770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + l = -43, t + 0*t - l - 19 = 0. Solve -11*i = 2 - t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 437*x - 5924. Determine m(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 1 - sqrt(180) - (sqrt(320) - -1*sqrt(320)))**2 + 3 - (sqrt(5) + (4*sqrt(125))**2 + (sqrt(55)\/(2*sqrt(11)))**2).\nAnswer: -2869\/4 - 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1101 (b) 0.5 (c) -0.4 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 567623145*c*v**3 - 7304110*v**3 - 37*v wrt c?\nAnswer: 567623145*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66559579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 649*s + 14 = 652*s + 4*c, 0 = -c + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195852208?\nAnswer: 2, 12240763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420)\/(sqrt(28)\/sqrt(4)) + sqrt(360)\/(sqrt(18)\/sqrt(3)))\/(-2*sqrt(1728)*6 + sqrt(1728) + sqrt(1728)))**2.\nAnswer: 1\/720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 182\/6 + (-14)\/42. Suppose b + 70 = h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 4*x + 4. Let b be 3\/2*(-1 + (2 - 3)). Let g be (25\/5 - 2)*b\/(-3). Give p(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8194305 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -20382\/11 - -1853. What is the nearest to 29.8 in -4, u, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 - 328*n**3 + 326*n**2 + 328*n - 327.\nAnswer: (n - 327)*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4539 and 1667949.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29, -44, -53, -56?\n\"Answer: 3*i**2 - 24*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19400 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 44073, 8, 3\/4, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216661*m - 120657*m - 69570*m.\nAnswer: -406888*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1834 (base 13) to base 9.\nAnswer: 4831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 4 (c) 13\/4 (d) 2 (e) 20 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-17)*k\/k**(-2)*k**(16\/7)\/((k*k\/(k\/(k\/(k\/(k\/(k**(-23)\/k*k))))))\/k) assuming k is positive.\nAnswer: k**(-250\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from {x: 1, n: 2, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2109\/(-1295) - (-1)\/5. Let p(i) = i**2 + 4*i - 7. Suppose 0 = g - 4*a - 3, -3*a + 1 = -g - a. Let h be p(g). Is w != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6 = -10, -5*h = -2*t - 1018. Let r = 389 - h. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 280 - 275. Solve -p = 2*n + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 2:40 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-10) + (-4)\/(-10). Let v be -1 + (-1 - -1) + 4. Let k = v + -6. What is the closest to -1 in -0.2, k, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1144*u**2 - 1287*u wrt u.\nAnswer: -2288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7608619, 15217236, 22825853?\nAnswer: 30434470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 1:27 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 2. Let r be -3*((-8)\/(-3) - u). Let z = 1 - r. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 9. Suppose 0 = 4*s + 9*w - 6*w - 48, 0 = -w. Calculate the remainder when s is divided by u(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 118*g**2 - 4 - 236*g**2 + 121*g**2 + 4*g. What is the remainder when 29 is divided by p(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21338790 and 770.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/9))**2*r*r\/(r**(1\/8)\/r)*r**(2\/7))**2 assuming r is positive.\nAnswer: r**(1369\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2 + 7 + t**2 + 8*t - 3. Suppose 3*j - 237 = -252. Determine n(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*q + 7*i - 4*i, q + 5*i - 14 = 0. Calculate the remainder when q is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -185195, -4 in descending order.\nAnswer: 1, -4, -185195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*p**6 - 2*p**5 + 44*p**4 + p**2 - 2018*p + 525?\nAnswer: -2640*p**3 - 120*p**2 + 1056*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05602*0.6.\nAnswer: 0.033612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 14 = m + 8, -4*h - 86 = 2*m. Let b = m - -75\/2. Find n such that 0*n + b*n**2 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 237\nAnswer: 7\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 4:58 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37848 - 4897 = 598*v - 8909 for v.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 1196988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 201 - 1002\/5. Let l(v) = v**3 + 2*v**2 + 3*v + 2. Let x be l(-2). Put -5, j, x in increasing order.\nAnswer: -5, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/10 + 1 - (-24 - -26)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 5275678.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1692*s**5 + 462*s**4 - s**3 + 4*s**2 + 4816*s - 258?\nAnswer: 101520*s**2 + 11088*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36393 - 40473 = 408*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a02 (base 14) in base 6?\nAnswer: -54254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86255815188966\/3881826955 + -70\/33755017. Let v = 22220 - d. Let y = v + 2\/115. Which is the closest to 4? (a) -4\/5 (b) -1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398, -759, -1934, -3133, -4362?\nAnswer: -5627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/21*(-56)\/(-140).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23348537 to the nearest integer?\nAnswer: 4832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-40))\/(16\/(-10))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16409 (base 11) to base 16.\nAnswer: 5a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 36 = -4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.593 rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50831424 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 17 = 5. Suppose -u - 4*d + 22 - 16 = 0, 5*u + 3*d - 13 = 0. Solve g*t - u = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112300 (base 4) to base 12.\nAnswer: -a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1517, 6161, 13947, 24917, 39113?\nAnswer: 56577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1421 is divided by 42.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 11.2. Let y = -0.1 - -1.6. Let i = y - z. Which is smaller: i or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 4\/7 (b) 2\/17 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/6 + 322*l**2 - 1287*l\/2 + 965\/3 = 0 for l.\nAnswer: 1, 1930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 12*i**2 - 96954*i + 872828. Determine u(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*((-k**2 + 0 + 0)*(-k**2 + 0 + 0) + 0*k**2 + 0*k**2 - 3*k**4).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 19*g**2 + 48*g + 9. Let b(l) = -l**2 + 21*l - 10. What is the lowest common multiple of h(16) and b(20)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**4\/2 - 20*n**3 + 35*n**2 + 20*n - 75\/2 = 0. What is n?\nAnswer: -1, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1493 + 1795.1. Let v = o + -380.06. Let r = 78 + v. What is the biggest value in 3, r, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 837402.9 kilometers in meters?\nAnswer: 837402900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-96))\/((-3)\/6*14\/4)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(8*12\/(-768)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8973, 32704, 72269, 127680, 198949, 286088, 389109, 508024?\nAnswer: 642845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 4:02 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u = 28 - 103 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 488606?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 10:10 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/2*(-16)\/(-6). Let c = 8003\/2704 - 15\/676. What is the common denominator of -3 + (2 - 58\/g) and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-16)\/(-5) + -14 + 11. Let j(a) = 3*a - 25. Let l be j(10). Let k = 0.5 + -0.9. What is the biggest value in l, k, r, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738352001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + c + 61 = 0, 4*c = w + w - 132. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*p = -348*p + 129000. Suppose -4*t = -0 - 48. Calculate the greatest common factor of p and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -2\/216731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, t: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 250761172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4 + (3 + 2 - 4)*(-4 + 1 + 2) - 3 - 6 - 2)*(-4*p**4 + 0*p**4 + 2*p**4) - 3*p - p**4 + 3*p.\nAnswer: 21*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116 divided by -186?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-2)*(2565\/(-54))\/19.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*i = -5*o + 28, -4*o - 3*i + 11 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2\/(q\/(q\/(q\/(q**(-2\/17)*q)))))**(-1\/20))**7 assuming q is positive.\nAnswer: q**(-56\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-119)\/((-333795)\/(-136)) + (96\/(-45) - -2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26398, -26397, -26396, -26395, -26394?\nAnswer: -26393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqd when three letters picked without replacement from wdwdqwwqqdwdw?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 9*r + 1. Let q be f(10). Let h(w) = -w + 24. List the prime factors of h(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -664725\/37 + 17965. Is o less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 3) to base 11.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8716 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 16881*h**2 - 16878*h.\nAnswer: -3*h*(h + 1)*(h + 5626)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 2783*c**4\/4 + 1673*c**3\/3 - c**2\/2 + 3098. Find the third derivative of r(t) wrt t.\nAnswer: 16698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -528*c + 309*c + 132*c + 828*c + 884*c to the form b + o*c and give o.\nAnswer: 1625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 1. Suppose 5*j = g - 19, -3*j + 0*j - g = 5. Let v(s) = -2*s**2 + 3*s + 4. Give j*q(k) - v(k).\nAnswer: 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*f - 1597, 2*f + d = f + 799. Does 23 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 3\/7, 1510, 1\/24?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 54501 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 13 - 122 = 0. Let l = s - 132. Calculate the greatest common factor of 54 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5321, -5422, -5523, -5624?\n\"Answer: -101*g - 5220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-379)\/(-5) - (-2 - 54\/(-30)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 302 = -2*p + 301, 0 = 3*p + j - 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/10*(10\/(-15) + 6). Solve h - 8\/5*j + 2\/5*j**2 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.248573017561609 and -0.5.\nAnswer: -0.748573017561609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7322731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 - 11 - x**3 + 11*x - 10*x + 0*x**2. Let w(z) = z**2 + 1. Let l(q) = -2*w(q) - y(q). Is l(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118639?\nAnswer: 29, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8061908 + -8061796.99919. Let q = c + -111. Round q to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(40)\/(sqrt(24)\/sqrt(3)) - (sqrt(960)*-2)\/sqrt(12).\nAnswer: 5 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(6\/7)\/(m**(2\/3)\/((m*(m*m**7\/m)\/m)\/m)) assuming m is positive.\nAnswer: m**(130\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(825) - (-3*(sqrt(825) + -2*sqrt(825)) - sqrt(825))) + sqrt(825))*-5)\/((-2*sqrt(121)*4)\/(sqrt(704)*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 196*x - 5247. Determine s(164).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23145 + 23144. Which is the nearest to 0.04? (a) -0.6 (b) 4 (c) -4\/5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -167, -276, -407, -566, -759, -992?\nAnswer: -1271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/25))**(-40) assuming a is positive.\nAnswer: a**(-216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 4*q - 5*q + 29, 3*i + 2*q = -7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 6:37 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-75) + (-20)\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1615 is divided by 60?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 + 1 - 1 + (-4 + 4 - 2*s)*(-6*s**2 + 4*s**2 + 3*s**2) + (-1 + 1 + 2*s)*(-5*s + 8*s**2 + 5*s).\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 14 = w, 4*w - 45 = -3*p - 11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/977841 and -1\/325947?\nAnswer: 977841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 482 and 1301467.\nAnswer: 627307094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2298, -2830, -3710, -4932, -6490, -8378?\nAnswer: -10590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 266785 and 192?\nAnswer: 51222720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -130, -2, 5, -67 in descending order.\nAnswer: 5, 1, 0, -2, -67, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*v**2 + 18*v**2 + 15*v**2 + 17*v**2.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -178517, -178526, -178551, -178598, -178673, -178782, -178931?\n\"Answer: -t**3 - 2*t**2 + 4*t - 178518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -24 (c) 15792.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 25, -4*h - 5*u - 30 = -3*h. Let x(b) be the first derivative of -b**4\/4 - 4*b**3\/3 + 3*b**2\/2 - 4*b - 14. Give x(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-126)\/(-49)*-4*(-286)\/1287\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrru when four letters picked without replacement from rruurruuur.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/6*(-3)\/2. Let g = p + -3. Does 2 divide g\/(-3)*(-1 - -16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -79\/7? (a) 2\/5 (b) 2 (c) -1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 149, 1, 5, -5 in descending order.\nAnswer: 149, 5, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4258*a - 9. Let g(u) = 1065*u - 2. Give 9*g(d) - 2*w(d).\nAnswer: 1069*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 8*g**2 - 2*g - 7. Suppose 7*s - 3*s - 5*w = -7, -s - 3*w = -11. Let o be 12\/(2\/4 - s). What is the units digit of j(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -12*p. Let f(y) = -502*y**2 - 70*y + 5. Let j(g) = 2007*g**2 + 294*g - 21. Let v(q) = 21*f(q) + 5*j(q). Determine v(u(m)).\nAnswer: -73008*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*d - 4*d**2 + 8*d + d**2 - d**2 - d + d + (2*d - 2 + 2)*(-4*d + 3*d + 0*d).\nAnswer: -6*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (6966 - 3354 + 14518 + 8807 - 4094)*(3*l - l - l)*(0 - 1 + 0) as w*l + a and give w.\nAnswer: -22843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8\/7, 130, -2?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**4\/5 - 81*a**3\/5 - 12*a**2\/5 + 324*a\/5 = 0.\nAnswer: -2, 0, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (8*2\/(-48))\/((11\/132)\/(5\/(-1310)))\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -597930 rounded to the nearest ten thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1043 + 345. Let t = -490 + m. Calculate the remainder when t is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2 + 54. Let w(d) = -7*d + 35*d - 7*d - 9*d - 15*d. Give s(w(b)).\nAnswer: -27*b**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6732*f**5 - 8934*f**4 + 3*f**2 - 1919*f + 11565 wrt f?\nAnswer: 403920*f**2 - 214416*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 + 2*s - 5. Let y(a) = -a**2 + 19*a - 84. Let n be y(8). Give q(n).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 7) in base 4?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/18)\/(2\/(-762)). Let j = -128 - g. Let n be (-2*j\/(-3))\/(14\/(-441)). Calculate the greatest common divisor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-45)\/(-30))\/(15\/(-270)))\/((-6)\/4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + a - 6. Let z(d) = -d**2 + 11*d - 10. Let g = -5 + 15. Let w be z(g). What is o(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1198731 + 1198743. Let 8\/3*a**2 - f - 2\/3*a**3 + 2*a = 0. Calculate a.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 5*a**2 + 4*a + 9. Let f be n(-2). Let s(l) = l**3 - 29*l**2 - 4*l - 36. Let q be s(f). Which is bigger: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(5) - sqrt(15)\/sqrt(48))**2 + 0 + (sqrt(720) + 2)**2*4).\nAnswer: -139143\/16 - 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 4*i**2 - i + 3. Let m be h(4). Let w be m\/3*(-15 - 0). Let r = w - 3. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*11\/(495\/(-1710))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*u - 14. Let o be 3\/u*6 - -7. Solve 21 = -o*v + 3*n, -2*v - 5 = -5*n + 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-8))\/s)**(-9\/4) assuming s is positive.\nAnswer: s**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.3 and -8.8.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-134 + 30 + 271 + (-4 + 5 - 2)*(0 + 3 - 4) - 1 - 4 + 3)*(-f - 4*f + 7*f) as p + l*f and give l.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1))\/((20\/(-10))\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 4*j + j)*(0 + 0 - 2*j)*(8*j - 25*j - 41*j)*(-2*j + 0*j + j) to t*j + i*j**3 + o + n*j**2 + v*j**4 and give v.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000094729549 to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221 and 36101?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 31*s + 364 = 4*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/189879228 and -107\/4128.\nAnswer: 1519033824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -8 - (39 - 45) - -1 - 53?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6024 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1319212311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**3 - 68*p**2 - 64*p = 0.\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.517 - -74.557. What is j rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(4114)*2)\/((-2*sqrt(1408) + sqrt(1408))\/(sqrt(99)*-2)) + 0)**2.\nAnswer: 166617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -1\/2, 0, 6.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/3 and -43\/201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -296, -2\/143, -0.4, -5, -2\/3 in ascending order.\nAnswer: -296, -5, -2\/3, -0.4, -2\/143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43827, -87716, -131605, -175494?\nAnswer: -219383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16549 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swyyw. Give prob of sequence yws.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -15*d**3 + 3*d - 3. Let w(l) = 15*l**3 - 2*l + 2. What is 3*w(h) + 2*z(h)?\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -1095*t. Let i(n) = -2*n**2. Calculate i(u(m)).\nAnswer: -2398050*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 2, 1, -0.4, -1\/3, 1\/3, 3896?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 59 (b) 0.010825 (c) 0.2 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 2*m. Let b be x(2). Suppose b = f - 5 - 5. Suppose 3*o - 3 = 0, t + 2*o = -2*t + 59. Calculate the remainder when t is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*f + 3. Let p(t) = -3 + 4 + 0*t + t**2 + f*t. Let h be p(-2). Let x(j) = j**2 + 3*j - 3. Give x(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 155. Let g be b(39). Let i(k) = -k**3 + 11*k**2 - 8*k + 9. Let s be i(6). Let a = s + g. What is the remainder when 70 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253 - 253 + 1488*g.\nAnswer: 1488*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 5365\/16429 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from ixdxkix?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 3. Suppose 2*w - 4*w = -14. What is the remainder when ((-36)\/m)\/((-15)\/(-50)) is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/6 - (-374)\/(136\/(-8)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 637725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 990 - 10902\/11. Sort -5, 1, z.\nAnswer: -5, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**2 + 15*y**2 + 4*y**2)*(0*y - 4*y + 5*y) - 22*y**3 + 171*y**2 - 171*y**2.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) 2\/11 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/111100 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 0*q**2 - 1\/3*q**3 + 6 + 0*q. Let r(j) = -3*j**2. Calculate r(u(d)).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -q + 3*l - 9, 5*q + 4*l = 30. Let x(f) = 0*f - 6*f + 6*f - q*f. Let w(v) = 2*v. What is x(w(c))?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, 22, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6638 (base 9) in base 7?\nAnswer: 20162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22473 + 1370855\/61. What is the common denominator of x and 55\/12?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -42290.\nAnswer: -4229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4770579653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4a - 3?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 + 4*j - 4. Let i = -141 - -137. Give n(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 128 = -4*h, -5*a - 12 = -2*a. Let x = -2 - -12. What is the remainder when h is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 = -25*c + 1318. What is the remainder when 105 is divided by c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 0*o**2 - o + o**2 + 3 + 0. What is the least common multiple of l(0) and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4))\/(6*(-2)\/672). Suppose 0 = -2*n - 8, 25*m - u*m - 4*n = -35891. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a microsecond in nanoseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-30)*(-1)\/(-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296087329?\nAnswer: 23, 67, 841069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19887, -39776, -59665, -79554?\nAnswer: -99443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -118*g**3 - 2*g - 1. Let a be u(-1). Let d = 6321 + -6203. Is a smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpxpqxpqpqpppx. What is prob of sequence ppxx?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*c - 84 = 56. Sort c, 2, -8 in increasing order.\nAnswer: -8, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6553 - 6555. Let u(m) = -11*m**2 - 3*m - 1. Let r(o) = -o**2 - o - 1. Calculate q*r(k) + u(k).\nAnswer: -9*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -13?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7 + -13 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 18, -131, -264, -375, -458, -507, -516?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 + (-30)\/(-12))\/((-5)\/1770) is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/((-2)\/(-8))*27\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5155685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 9:53 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 96 in 8, -2\/7, 28\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2. Let p be (-7)\/(-5) - 9\/(-15). Suppose -p*w + 4 = 18. Let v(d) = -10*d. Let x(y) = 9*y. Let c(m) = w*x(m) - 6*v(m). What is c(h(g))?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 8:28 AM?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l. Let h(v) = -17*v. Give 2*h(g) + 2*o(g).\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34154 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -298 divided by 1\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40011 + 4212?\nAnswer: 44223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a decade?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*n - 2*n + 3*n + (-2*n + n + 0*n)*(0 - 1 + 3))*(n + 0*n + 2*n)*(2*n + 1 - 1) as x + a*n + u*n**3 + f*n**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 - 3*j + 2. Suppose 3*l = 5 - 2. Let k(x) = -x**2 + x - 1. Calculate l*w(n) + 2*k(n).\nAnswer: n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, h: 4}. Give prob of picking 3 h.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 42948*j + 42952.\nAnswer: -4*(j - 10738)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -0.793828?\nAnswer: 5.793828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 (base 10) in base 7?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2852 - -2072. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 + 5*t**4 - t**4 + (2*t**3 - 3*t**3 - t**3)*(86348*t - 43258*t - 42667*t).\nAnswer: -845*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, h: 13}. Give prob of picking 2 h.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7444811?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + z**2 + 2*z - 2. Let g be o(-3). Suppose -t + g = -5*s - 23, 5*t - 135 = s. Let l = t + -11. Solve 2*a + l = -0*a + 3*v, -3*a - v = -5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6bba31 (base 15) to base 2.\nAnswer: 10011101001111100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-106)\/78 - 17848\/58006. Let i(j) = j + 7. Let v be i(-4). What is the nearest to t in 11\/9, 1\/4, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67\/36 - -7\/4. Which is the nearest to 11? (a) s (b) 4 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*i + 14 - 4*i**2 + 2*i**2 + 22*i - 4 + 2*i**3 as c + r*i**3 + x*i + q*i**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/8)\/((-20)\/120). Sort -1\/5, 5, k in increasing order.\nAnswer: k, -1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 7 - -5) + 12 + (1 - 7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-21)\/(-24))\/((-14)\/(-56))*214?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - -59) + -14 + -39 + -3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 11*i**4\/24 - 4*i**3\/3 + 3*i**2. Let d be r(-8). Let h = -34 - d. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 35*n**2 + 2*n - 107. Let k(a) = 35*a**2 + 2*a - 95. Let y(f) = 9*k(f) - 8*t(f). Let r = 0 + -1. Calculate y(r).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*l + 2*l**3 + 31*l**4 - 3*l**2 + 0*l**3 + 3*l**3 - 118*l + 2*l**2 to the form s + y*l**2 + q*l + a*l**3 + z*l**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.83 + 0.33. Let m = 20\/3 + -13\/2. What is the second biggest value in m, 3, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g + 3 + g**2 + 3 - 3. Let b be v(-2). Solve -y + b = 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 7. Suppose 4*g + 15 = -n. Sort g, -3, 2 in ascending order.\nAnswer: g, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/496 and 23\/224?\nAnswer: 6944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from dvqhv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 574 + (-2)\/1. Let c be ((-4)\/8)\/((-3)\/a). Suppose -109 + 14 = -5*h. Calculate the greatest common factor of h and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -16) + -4 + -20.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 9*g + 4. Let h be n(-7). Let k be -1 - 3\/6*2. Calculate the common denominator of (h + -25)*k\/(-6) and -13\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29\/150 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*v + 1889 = 1871, v = 18*h + 43 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126918 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**3 + 34*q**2 + 60*q + 49. Let t(d) = d**3 + 11*d**2 + 20*d + 16. Let j(v) = -6*k(v) + 17*t(v). List the prime factors of j(-16).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0075353192 to 4 decimal places.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*a - 113 = -4*a, 0 = 3*o - 4*a - 75. Suppose -4*z + o + 31 = 0. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 4*b + 3. Let f be w(-3). Let u = 24 + -9. Let x = 130 - 125. Solve -k - f*q + u = -q, -x*q = -10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -36*x**2 - 22*x + 14. Let d(q) be the third derivative of -q**5\/12 - q**4\/8 + q**3\/3 + q**2. Let t(v) = -44*d(v) + 6*i(v). Differentiate t(o) wrt o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6062.\nAnswer: 2, 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -4. Let o be 268\/6 + 2\/u. Suppose -3*l + 0*j = -4*j - 71, -2*l + j = -o. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 4*x + 5. Let w be c(-3). Let h(l) be the first derivative of 2\/3*l**3 - w + 0*l + 0*l**2. Let j(r) = 3*r. Determine j(h(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, 3, -1 in decreasing order.\nAnswer: 3, -1, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 - 8*h + 56. Let c(d) = -10*d**2 + 40*d - 294. Let v(b) = 3*c(b) + 16*o(b). Determine v(7).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99648, 199228, 298808?\nAnswer: 398388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 347939923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 396548 + -236948. Suppose -25*p - b = -29*p. Round p to the nearest one thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - h - 2. Suppose -v = m + 5, -v = 4*m + 2*v + 15. Suppose m = 11*k - 13*k - 4. Determine x(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.50847 to 2 decimal places.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 97\/6, 0.06, 1, -1, -31, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0604916063 + 20.\nAnswer: 20.0604916063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -125304 - -1625?\nAnswer: -123457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 0.099094 (c) 0.5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**5 + 10730*q**4 + 288352*q**3 + 533800*q**2 = 0.\nAnswer: -5338, -25, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 11)*(0 + (-6)\/(-15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x - 55 = 4*g - 34*x, 3*x + 48 = -3*g. Let m be g\/6*(-28)\/(-35) + 2. Solve 3*h - a - 12 = -2, 4*h - 5*a - 28 = m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 76*i + 445. Let t be o(6). Solve 23*p + 10 = 21*p, -5*m + t = -5*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 7640 - 7621 = 4*l, 2*y = 60*l - 238 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -87 (c) 6\/7 (d) 0.2 (e) -33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + c**2 + c - 1. Let q be b(1). Put q, -3\/5, -0.1 in decreasing order.\nAnswer: q, -0.1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*n + 197*n = -7821 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 197 + -140. Let d = -77 + o. List the prime factors of ((4 - d) + -5)*11.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(22))\/sqrt(2) - sqrt(44)\/(2*sqrt(4)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -327, -770, -1379, -2148, -3071, -4142, -5355?\nAnswer: -6704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -10*v + 383. Let i be l(38). Solve 4*d + 2 = -3*z, i*d = 4*d + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*d + 32 = 0, 2*w - 12 = 4*w - 5*d. Suppose -v - 14 = -w. Is (-52)\/v + 2\/(-10) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - j + 0*j = 6, 5*t = -5*j + 30. Suppose 5*w - 1 = 4*d, -1 = -t*w - 4*d + 5. Suppose -4*l + 5 = w. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1624\/21)\/8*183?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*q + 5*a + 512, 2*a - 1468 = 3*q. Let z = q + 496. Solve 0 = -5*f + 5*v - z*v - 24, -4*v = f + 9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwaawewtetwttea. Give prob of picking 2 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 4321 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqqqxqqdqqqqqqqqqdqq. Give prob of picking 3 d.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28616706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40104431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*d + 7*d = -19, g - d - 17 = 0. Suppose -3*f + 8*f = -2*a + 30, -3*f + g = 2*a. Suppose -f*i - 1778 = -11*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5\/3 - 259401*v**4 + 151405035530*v**3\/3 - 1968161183926*v**2\/3 + 1766261344855*v + 7418351032225\/3 = 0 for v.\nAnswer: -1, 7, 389095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 9*i + 11*i. Solve 13*l + 88 - 36 = i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.937 + -9.537. Let b be 3\/(4\/(-1 + 3)). Sort n, b, 8 in decreasing order.\nAnswer: 8, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*b + 3. Suppose w + 0*w = b*r - 46, r - 10 = 3*w. List the prime factors of (r - 2)*4\/8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/45 (b) 7\/6 (c) 0.6 (d) -1.3644 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5\/7 + 40*h**4\/7 + 37*h**3\/7 - 78*h**2\/7 = 0.\nAnswer: -39, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1\/3, -3, -2\/17?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 2\/237, -1\/2, 189?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w**4\/7 - 1224*w**3\/7 + 442*w**2 - 1044*w\/7 - 848\/7 = 0.\nAnswer: -4\/11, 1, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79.2 + -83. Let i = s + 4. Let x = 2.1 + -2. What is the nearest to i in -0.4, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/5*-2)\/((-32)\/10)*22\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -2, 15 in increasing order.\nAnswer: -4, -2, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -44*l**4\/13 + 174*l**3\/13 - 212*l**2\/13 + 6*l + 4\/13 = 0.\nAnswer: -1\/22, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 139 - 71 + 4*v**4 + 3*v + v + 2*v**3 - 67 in the form l + h*v**2 + r*v**3 + q*v + f*v**4 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = 34 - 64. Suppose -2*l - 3*a + 1852 = a, 3*a = 4*l - 3649. Suppose l - 121 = b*d. What are the prime factors of d?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**13)**(5\/16)*((f\/f**(-7\/6))\/f*f)\/((f**(-10)\/f)\/f))**31 assuming f is positive.\nAnswer: f**(13795\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23879697 is divided by 234?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 8. Let g(v) = -v**3 + 7*v**2 - 6*v + 4. Let k be g(6). Suppose -12 = -245*z + 239*z. Solve 0 = 2*l + z, k*s = t*l + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25134\/10 + ((-2825)\/(-125) - 22).\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 451655.3ml?\nAnswer: 451.6553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9bb (base 12) to base 9\nAnswer: 1868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/9 - 6019972*l**2\/9 - 84279314*l\/9 - 98325752\/3.\nAnswer: -2*(l + 7)**2*(l + 3009972)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -4\/109, 800?\nAnswer: -4\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04397 - 0.06397. What is the closest to -1 in -0.4, k, 4, 1.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -25, 0.6 in decreasing order.\nAnswer: 0.6, -2\/7, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-4) + (-8)\/(-32). Which is smaller: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 87859 - (-7)\/((-35)\/20). Suppose -2*z = -2*s - 35142, c = -8*z + 13*z - 3*s. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484 = 417*u - 461*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*t - 16*t + 348. Solve -5*h + 5*i = 20, -9*i - 12 = -5*h - t*i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 15) to base 8.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a second in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*2\/(-6) - (-13688)\/24 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42517 - 11?\nAnswer: 42506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -1 in ascending order.\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**3*n + 164*c*n + 6*n - 12 wrt c?\nAnswer: 3*c**2*n + 164*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -208324007*t**4 + 64*t + 2861.\nAnswer: -2499888084*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -829*w**5 - 3662*w**2 + w - 555942?\nAnswer: -16580*w**3 - 7324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -3. Suppose t*s + 2*s = u + 50, 3*u = -3*s - 78. List the prime factors of u\/(-9) - 2\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36983 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -15*r**2 + 43*r - 252. Calculate s(5).\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/9, 1, 105, -2, -2\/155?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234829387, 234829386, 234829385, 234829384, 234829383, 234829382?\nAnswer: 234829381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14935 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 21*v + 47. Give j(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -3, -193, 1, -19, 100 in ascending order.\nAnswer: -193, -19, -4, -3, 1, 5, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374465369?\nAnswer: 23, 16281103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -122517464 + -5?\nAnswer: -122517469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 249839019 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 36 = 8*c. Put c, 5, -8, 0 in descending order.\nAnswer: 5, c, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -3\/6703 (c) 1\/4 (d) 6 (e) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 19*z**5 - 99*z**3 + 349*z**2 - 55*z**4 - 56*z**3 + 90 + z**5 - 84*z**2 + 435*z = 0.\nAnswer: -2, -1, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 + 92. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 817 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59611 to the power of 1\/2, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 + -82. Suppose k = -2*b + 84. Let f = b - 12. What is the lowest common multiple of f and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94872188?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 301.18175 rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/84 - 53\/51. Which is the smallest value? (a) 0.3 (b) s (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31, 61, 93, 127, 163?\n\"Answer: q**2 + 27*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 18234.35716 and -0.36.\nAnswer: 18233.99716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.187 and -2689.\nAnswer: -502.843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2463531, 2463523, 2463509, 2463489, 2463463, 2463431, 2463393?\nAnswer: 2463349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812209891?\nAnswer: 19, 839, 50951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19995*v**3 - 137*v**2 - 5118181.\nAnswer: -59985*v**2 - 274*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19529375 and 2875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -72 (b) -15 (c) 189.68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 45*c + 30. Let w(r) = -9*r - 6. Let a(p) = 4*h(p) + 21*w(p). Determine a(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9234475 millilitres in litres?\nAnswer: 0.0009234475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -135, 6, -1 in decreasing order.\nAnswer: 6, -1, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*d - 75*d - 109*d + 273*d - 88 to the form o*d + r and give r.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142476 = 2*n - 2*u, 0 = -4*n - 75*u + 78*u + 284947. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/7 + (-199410)\/289170.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*c - 13 = 0, 2*a - 6*c = -102690 + 102692 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1356)\/450 - -3)\/((-161)\/805)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/3, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 14. Let b(h) = h + 4. Let a(o) = o + 5. Let t(n) = -4*a(n) + 5*b(n). Let v be t(d). Let r(y) = -y + 5. Let g(j) = -j + 4. Determine v*g(l) + 4*r(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 - 4*m**3 - 24*m**2 + 16*m + 32.\nAnswer: 4*(m - 2)**2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312 and 12828?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, -0.02, -3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 163*v**7\/70 - v**6\/40 - v**5\/30 + 1117*v**3\/6 - 23*v**2 - 10. Find the third derivative of g(r) wrt r.\nAnswer: 11736*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from cqkfjfh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*1 + (5 - 3). Let t = -0.02 - 0.06. Let h = t - -5.08. Sort i, 4, h in descending order.\nAnswer: h, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 4*u**2 + u. Let p be n(4). Let r be p\/(-14) - 66\/14. Let z(b) = 36 - 68 + 30 - b. What is z(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 18. Solve -a + m - 2 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3932414?\nAnswer: 2, 1966207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, k: 1, j: 2, r: 1}. What is prob of picking 3 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.06 - -18.1. Let l = -3.04 - -0.04. Let s = l + b. Is 1\/2 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44.03 + -46.03. What is the smallest value in 2.07, 3, 3\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 6 (b) -1\/3 (c) 1\/3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8425.944ml?\nAnswer: 8.425944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 671745 - (-9 - (-5)\/35*7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x + 4. Suppose a = 4*z - z + 2, -4*a - x*z = 48. What is the lowest common multiple of 2 and 6\/a - (-348)\/30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(-20) + 3\/2. Let i(q) = -q + 3. Let c be i(4). Put m, c, -2 in decreasing order.\nAnswer: m, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + m - 15. Let a(n) = n**3 + n + 1. Let w(c) = -2*a(c) + v(c). Suppose 0 = -15*p + 9*p. Let x be w(p). Which is smaller: -15 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.6648 to 1 decimal place.\nAnswer: 48.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 14\/13?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, p: 3}. Give prob of picking 3 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.1976 + 3.197616897. Round m to 7 decimal places.\nAnswer: 0.0000169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 249 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 0*p**4 + 0*p**3 + 0 + 3*p**2 + 2*p + 1\/60*p**5. Let r(u) = 6*u**2. What is f(r(o))?\nAnswer: 36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -21 - ((71 - 37) + -39)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3585124 is divided by 168.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17503 = -160*y - 897*y - 10437 + 20416 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*386.7.\nAnswer: -5027.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 4342 and 4341 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -11*a**2 - 20*a - 9. Let r(y) = -2*y**2 + 4*y - 6 - 5*y**2 - 17*y. Let i(v) = -5*n(v) + 8*r(v). Let h be i(-3). Solve -w + 5 = -h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p - 11. Let u be b(-11). Suppose 0 = -5*a + u + 4. Let n(y) = -y**3 + 5*y**2 + y + 1. Does 11 divide n(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -89886 at most -629196\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 709295*s - 354581*s - 354638*s.\nAnswer: 76*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 1:55 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 2:50 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/33)*(b*b**(-3\/11))\/b*(b*b**4)**11 assuming b is positive.\nAnswer: b**(1808\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 511*s**4 + 917 wrt s?\nAnswer: 2044*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -13635 - 41112. What are the prime factors of r?\nAnswer: 7, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5447 or 5?\nAnswer: -5447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a13 (base 11) in base 14?\nAnswer: -d07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.9, -2\/13, 5, 3385?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 2:58 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 2710412630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*l = -5*l - 180, -2*l - 64 = -w. Suppose 31*f - 27*f - w = 0. Let n = 111 + f. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119.16 * 2.56\nAnswer: -305.0496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3010, -6013, -9012, -12007, -14998, -17985?\nAnswer: -20968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -8869*w + 195113. Calculate i(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3\/5*i**2 - 3\/5 - 6\/5*i = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -2*d - 3*d. Suppose 35*g - 38 = -5*u + 36*g, 2*g = 4*u - 28. Calculate the greatest common factor of d and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -15*f + 3. Let q(i) = -120*i + 25. Let h(z) = 25*n(z) - 3*q(z). Let d be h(-2). Suppose 4*k = -2 + d. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079376433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 23. Let s = -2342 + 2337. Put s, -50, y in descending order.\nAnswer: y, s, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1067881?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j + 3. Let w be k(3). Let n be 6\/(-12) - w\/2. Let d be ((-5)\/(-3))\/((-2)\/(-6)). Which is smaller: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/272 and -59\/108456600?\nAnswer: 216913200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166 by 1.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/4 (b) -13 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 40572.\nAnswer: -1\/40572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 23 = 3. Suppose -1300 = 4*d - 4*t, n*t = -4*d + 335 - 1665. Round d to the nearest ten.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u**2 + 13*u - 66. Let z be i(4). Is z less than 115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -171, -174, -177?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**4\/12 + 2*h**3 + 5*h**2 + h. Let l be q(10). Calculate the highest common divisor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (11 + (-6 - 19) - -12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 plus 0.06336?\nAnswer: -195.93664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f\/f**(-2\/17))\/f)\/((f**(-6\/5)*f*f*f)\/f*f*f))\/(f**4\/f**(-5)))**(-50))**46 assuming f is positive.\nAnswer: f**(456780\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9286240, -18572481, -27858722?\nAnswer: -37144963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/(-190)*2465*(-2 - (-90)\/(-2)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 153864.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249186?\nAnswer: 2, 3, 7, 17, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7316, 17371, 27374, 37325, 47224?\n\"Answer: -26*b**2 + 10133*b - 2791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -377*x**3 - 307. Let z(q) = -2*q**2. Give z(i(t)).\nAnswer: -2558322*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l**(4\/3))\/l))\/l**(-4))\/((l**(3\/5)\/l*l*l)\/l**(-6\/5))*(l**(-1))**(-2)\/((l**2\/l)\/((l\/l**(-3\/8))\/l)) assuming l is positive.\nAnswer: l**(269\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16651636?\nAnswer: 2, 17, 244877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 14 + 1)*(-143*m - 186*m + 6*m + 68*m) to the form i*m + g and give i.\nAnswer: -4590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*g**2 + 8*g**2 + 5*g**2 + 19*g**2 + 21 - 21 + (4 - g - 4)*(2*g + 2*g - g) to t*g + m*g**2 + r and give m.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*v**2 - 41*v**2 + 120*v**2 + 1548*v**3 - 1629*v**3 - 41*v**2.\nAnswer: -81*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33025130 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/((-16)\/(-20))*1. Solve -4 = -f*z + 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 62908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13016918\/34299 + 14034\/37. Let a = v + -2\/309. Is a at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72465.9939514 - -72466. Round l to 5 dps.\nAnswer: 0.00605","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1252 divided by 171919\nAnswer: 1252\/171919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-2))\/(9*(-33)\/(-594))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j + 5*s + 59 = -34*j + 14*j + 49, -5*j + 25 = 4*s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -994.563924.\nAnswer: -994.863924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(1\/14))**(-38))**(-4\/17))**(-2))**(9\/2) assuming w is positive.\nAnswer: w**(-684\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -2*q**5\/15 - q**4\/12 - q**3\/2 + q**2 - 2512. Give c(3).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -11*o**3 - 4*o**2 - 4*o + 4. Let n(h) = -12*h**3 - 3*h**2 - 3*h + 3. What is 4*n(j) - 3*q(j)?\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 35948431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 3. Let i be o(2). Suppose -1 = -k + i. Let u = -1 + 2. Put k, u, 4 in increasing order.\nAnswer: u, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258472 divided by -1668?\nAnswer: -1354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33642482051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x + 23. Let h(f) = -f - 3 - f - 9. Let v(s) = -7*h(s) - 3*j(s). What is the units digit of v(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1276 - 1276 - 249532*m.\nAnswer: -249532*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/8*(-9)\/(63\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69473675?\nAnswer: 5, 757, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 3:32 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(18\/(-44)))\/(14\/168*-4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/75 of a day?\nAnswer: 2304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15872534 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0 = -2. Let h be 0*(2\/4 + m). Let q = -1.7 + 0.7. Which is the nearest to q? (a) -0.3 (b) 0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 139062.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69\/2 of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 280*q**2 + 10*q + 5. Let u(j) = 2*j + 1. Give -l(m) + 5*u(m).\nAnswer: -280*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18888730 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 19 = 107. Suppose -i*w = -3*w - 12960. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -194.6 - -199.6. Sort b, -6, -49.\nAnswer: -49, -6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b + 1. Let f be h(-3). Suppose 0 = 2*s - s - f. Suppose 4*n = 6*n - s. What is the remainder when 13 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00476 to four dps.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363401?\nAnswer: 363401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 k when three letters picked without replacement from rykkrtcrttktktrt.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885 a factor of 763421775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/52*(-10)\/10.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 155.34 + -181.988. What is s rounded to 1 decimal place?\nAnswer: -26.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1108 + 7*u**3 - 9*u**3 + 4*u**3 + 0*u**3.\nAnswer: 2*u**3 - 1108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f**2 + 12*f + 39. Let q(y) = 23*y**2 - 21*y - 78. Let j(v) = 2*q(v) + 5*u(v). What is j(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*d**5\/5 - 1887*d**4\/5 + 27756*d**3\/5 - 187029*d**2\/5 + 564408*d\/5 - 618192\/5 = 0.\nAnswer: 3, 53\/16, 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147641754.\nAnswer: 2, 3, 13, 1892843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2) + -1 - 1*(sqrt(2) - -1*sqrt(2)))*-6.\nAnswer: 6*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a**2 + 4*a - 3. Let t be p(2). Let j = -8 - t. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 9:51 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4.3 * 0.2\nAnswer: -0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 6*y**2 + 5*y + 4. Let x be r(-5). Suppose -2*u = -x*i - 20, -5*i - 18 = -3*u + 8. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 41 + 3825*g**2 - 15.\nAnswer: 3825*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 2, 13 in descending order.\nAnswer: 13, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 43) + (-192 - -219)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-39)*1247\/6235*(-1)\/(-1)?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11106273 (base 9) to base 15\nAnswer: -713776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0 + 4. Let f(t) = t**2 - 21*t + 4. Let q be f(21). Suppose -i - k = -q. Solve -a - i = -0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - -11 - 14) + -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.3 (c) -4 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - h = -16, -36 = -9789*t + 9795*t - 5*h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431*t + 29092 + 6282 - 3911 = 0. Suppose 4*p + 3*k = 159, -3*p + 123 = k - 0. Let y = -5 + p. What is the remainder when t is divided by y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-104)\/(-5) - 17\/85. Let d be (-4)\/(24\/15)*294\/(-35). Is y greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3449647115 divided by -5\nAnswer: 689929423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 - 733*s**2 + 1155*s + 18772. Calculate l(-368).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 1. Let r(m) = -450*m - 360. What is r(l) + 360*s(l)?\nAnswer: -90*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1 = -k, 3*u = 4*k - 6*k - 16. Let a(f) = -f**2 - f + 3. Let q be a(0). Let o = q - u. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 - 264*p**2 + 58 + 134*p**2 + 133*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 78*z + 28*z = -30*z - 27*z - 36, -5*d - 5*z - 120 = 0 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38191 and 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5327851 (base 11) to base 4\nAnswer: 203302023211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 10 - 8)*(-2 - 1 + p + 1).\nAnswer: -5*p + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -10) + -2 + (11 - (18 - -5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 2597 - 397 = 0. Let x = -344 - f. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 10. Suppose 2*f = -0 - 12. Let d be (f\/(-10))\/(4\/20). Solve -j = d*l + 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 9:44 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 8290170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -101*a**5 + 10*a**3 + 70091*a wrt a.\nAnswer: -2020*a**3 + 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 36*q + 189. Determine r(10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 15*b**3 + 3*b - 5. Let a(n) = 32*n**3 + 7*n - 12. Determine 2*a(f) - 5*g(f).\nAnswer: -11*f**3 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*5\/(-120)*-4*-3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5*z**3 - 11 + 4*z**3)*(-z - 4*z + 3*z).\nAnswer: 2*z**4 + 30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 4*l + 40, -3*l + 27 = -5*a - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -3396898?\nAnswer: 203813.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 363 and 144672.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225876 is divided by 427?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 14 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1813, -3640, -5481, -7342, -9229, -11148, -13105, -15106?\n\"Answer: -v**3 - v**2 - 1817*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5*w**(3\/5)*((w**(-1)\/w)\/w)**9)\/((w\/w**(-6))\/((w*w**5)\/w))**(-26) assuming w is positive.\nAnswer: w**(153\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5898, 577, -4738, -10047?\nAnswer: -15350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 20 = 5*b. Suppose 0*o + 4 = o + b*k, -5*o + k = 58. Let w = 18 + o. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 3:59 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(6 - 171\/30). Let h = f + 66. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 0)*-2 + -1*sqrt(704)*6.\nAnswer: -64*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 76 - 16. Suppose 0 = g, -3*g = -u*v + 11*v. What is v rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54437*t + 64 = -54439*t, 16*d - 18 = -10*d + 3*t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3714040 is divided by 5367?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from zhzhyyhyawyyzh?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159 - 148. Let m(o) = -9*o**2 + 2*o. Let l(t) = -26*t**2 + 5*t. Determine y*m(i) - 4*l(i).\nAnswer: 5*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226635 - 2.\nAnswer: -226637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*m + 44*m - 17*m to y*m + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 135 - 604. Let x = 164 + i. What is the remainder when x is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - -52 - (-3 - 0 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/2 and -25\/1227?\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*m - 361 + 640 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1939896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1691 divide 349363982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-5 - -1) - (206 - 198).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -24*j - 7. Let a be (-9)\/27 + 38\/6. Let b(f) = f. Let h(m) = a*b(m) - d(m). Is h(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -920.9 + 892.900078. Let i = 96 - 68. Let j = i + l. Round j to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/4824 and 145\/53064?\nAnswer: 53064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*c**5\/3 - 240*c**4 - 770*c**3\/3 + 240*c**2 + 745*c\/3 = 0. What is c?\nAnswer: -1, 0, 1, 149\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 614 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-1)*2\/(-20)*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*w - 849 + 203, -2*w + 634 = 4*t. Suppose 0 = h + 4*h - t. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 + 22*n + 3. Let s(f) = -2*f**3 - 21*f - 2. Give 4*s(y) + 3*t(y).\nAnswer: -2*y**3 - 18*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 2:29 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 243740887 at most 243740891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*n**3 - 1601*n**2 + 1601*n**2 - 2*n.\nAnswer: 166*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 13*f**7\/42 - f**4\/3 + 221*f**3\/6 + 2*f + 77. What is the second derivative of n(d) wrt d?\nAnswer: 260*d**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-2))\/j)**24\/(j**7\/j**(1\/5)))\/((j\/(j*(j*j\/(j*j**(-2))*j*j*j*j)\/j))**(-11\/2)*(j\/(j\/(j*j**(-1\/4)*j)))**(-1\/34)) assuming j is positive.\nAnswer: j**(-59669\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/24895 and -117\/3830?\nAnswer: 49790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5 = 3*o. Let p = -566 + 566. Suppose p = -880*q + 892*q - 36. Put q, o, -3 in ascending order.\nAnswer: o, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**4 - 3155*k - 14 - k**2 + 6316*k - 3161*k + 8*k**3 to o*k**4 + i*k**3 + u*k**2 + p + z*k and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/4)\/(18\/(-144)). Calculate the common denominator of (39\/g)\/13*34\/(-8) and 25\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*g = 5*n + 42, -g = -2*n + 3. Let o(d) = -d**2 - 3*d + 58. Let f be o(g). What are the prime factors of 267\/f + 0 - 14\/(-56)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80430309.\nAnswer: 3, 53, 168617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3103 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = -0*h. Let n = -2 + h. Solve -s = 2*v - 2, -4 = s - 3*v + n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 28 = 3*k, 0*k = 5*k - l - 28. What is the smallest common multiple of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 297098 - 119077. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476870042 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 0*w**4 + 0*w + 3*w**2 + 1\/30*w**5 + 0 + 2\/3*w**3. Find the first derivative of m(l) wrt l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11523 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 81.03, -2, 27, -5, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 3:11 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/124999700 and 41\/700?\nAnswer: 124999700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 74721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 4. Let o(a) = 1. Let k(v) = -d(v) + 2*o(v). What is the lowest common multiple of 32 and k(-5)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(68) + 2*(sqrt(68) - (-1*sqrt(68) - sqrt(68))) - ((sqrt(153) - 2*sqrt(153) - sqrt(153))*-5)\/(-1*sqrt(81)).\nAnswer: 4 + 52*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-4)*4\/6. Let n be (p - 4)*(2 + 9). Let h = -9 - n. Solve -5*s + 22 = h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 888, 0, -5, -261, -2.\nAnswer: -261, -5, -2, 0, 888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 - 25*d + 70. Calculate z(12).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/6)\/(1\/(-10)). Suppose 2*o - o + c = 0. Let i = o + 12. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 312*o - 2182. Let b be j(7). Suppose 3\/5*z**b + 3*z - 18\/5 = 0. What is z?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2003 - -11203301?\nAnswer: 11201232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*q - 5, q = -3*q - 4*b + 20. Let d be q + -1 - -1*(0 + 1). Suppose -2 = -o, y - 4*y + 167 = d*o. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 bigger than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27755206597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-1)\/sqrt(5) + (sqrt(19) - (sqrt(19) + 0 + 5))**2 + -3*-3*-4*(sqrt(19) + 0).\nAnswer: -37*sqrt(19) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 10 = 0, 195*i = 3*d + 192*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15225424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (20\/48*(-232)\/203)\/(4\/(-6))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438529412 a multiple of 1032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107341812.\nAnswer: 2, 3, 1471, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -29 - 21. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x + 16 = 24*x. Suppose 4*h + 4 = 2*h. Put -3, h, x in decreasing order.\nAnswer: x, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w + 29. Let r be z(13). Suppose n - 12 = r*g + g, 0 = -4*n + 4*g + 48. Calculate the highest common factor of 60 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-35)*-3)\/(56\/(-70))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 6. Let v be y(-6). Let x = v - 0. Suppose 2 = -c - c. Which is smaller: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5109 + -5107. Which is the nearest to v? (a) -2\/13 (b) 6 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 + 12\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/3 + 239*c**2\/3 - 236*c\/3 - 476\/3.\nAnswer: -(c - 238)*(c - 2)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 337910 and 260.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2861929 (base 10) in base 16?\nAnswer: -2bab69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14322982?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -b + 3. Let p = 58 + b. Suppose 2*q + 3*r - p = -0*q, -27 = -q - 4*r. What is the highest common divisor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3.7 (b) 3\/55 (c) 3 (d) 0.2 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1082620 divided by -4.\nAnswer: 270655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*g - 18*g + 2*l - 3 - 1, 0 = -10*g + 11*g - 2*l - 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c**2 + 2*c - 1. Let b be x(1). Let w be (-2)\/((-3)\/(63\/(-6))). Let y = b + w. Which is greater: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2337*u - 1594. Does 5 divide y(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 33 = 2*b, -5*a = -4*b - 10*a - 41 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8 - 4*g - 3358*g**2 - 35705*g**2 + g. Let u be j(-8). What is u rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 0)*92\/(-138) - -218. Let j be (36\/k)\/(4\/(-6)). Which is the smallest value? (a) 4 (b) j (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135 divided by 45\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 687*k**2 - 240*k**2 - 225*k**2 - 231*k**2 + 64*k. Let w(o) = 2*o. Calculate f(w(m)).\nAnswer: -36*m**2 + 128*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 16*u**2 + 15*u + 1. Let p be q(15). Solve -o - 10 = 5*b, -b = -o - 3 - p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 + 146*b**2 - 1486*b - 790. Determine s(-82).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1 + 1. Let z be 35\/45 + -3 + 2. Sort -2\/13, c, z.\nAnswer: z, -2\/13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**4\/t**3*(t**(-1))**39 assuming t is positive.\nAnswer: t**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1723582194.\nAnswer: 2, 3, 287263699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271 + 465 = 97*m. Suppose 27\/4*x**m + 21\/4*x - 21\/4*x**3 - 9\/2 - 9\/4*x**4 = 0. Calculate x.\nAnswer: -3, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*w - 30 + 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51e - 10dd?\nAnswer: -160c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46.8 + 36. Let i = m + 19.1. What is i rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/44 and (8 + (-1914)\/(-144))*1\/(-7)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, c: 2}. What is prob of picking 1 c and 1 e?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*t**3 + 445*t**3 - 152*t**3 - 148*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7074183 to the nearest integer?\nAnswer: 2660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k**5 + 242*k**4 - 1004*k?\nAnswer: -100*k**3 + 2904*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707*m - 623*m = -31920 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0*a**4 - 1\/240*a**5 + 0*a + 0 + 36*a**2 + 1\/24*a**3. Factor f(y).\nAnswer: -(y - 1)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t + 48. Let u(b) = -26 - 22 + 3299943*b - 3299951*b. What is -7*n(l) - 6*u(l)?\nAnswer: -l - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b. Let s be x(6). What is the highest common divisor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26.52977l?\nAnswer: 26529.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 + 47828476*t + 857836168680966.\nAnswer: 2*(t + 35871357)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 3 - -3)\/((-10)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10910, 10903, 10876, 10817, 10714, 10555, 10328, 10021?\n\"Answer: -2*x**3 + 2*x**2 + x + 10909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k + 88. Let m be r(-17). What is the common denominator of m*564\/450 + -6 and -23\/100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2. Let i(t) = 781*t - 71*t**2 - 418*t - 363*t. Give i(d(v)).\nAnswer: -1136*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 - 3*d**3 + d**3)*((-2*d - 2*d + 3*d)*(-1 + 2 + 1) - 36*d - 11*d - 40*d).\nAnswer: -89*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b. Suppose 3*q + 28 = 34. Let f(h) = -3 - 354*h**2 + 349*h**q - 15*h + 3. What is f(y(u))?\nAnswer: -5*u**2 - 15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-1)\/(330\/(-4))). What is the tens digit of 1756\/22 - 30\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 1)*(2 - 5 + 4)*(124 - 124 + 37*w**2) in the form z*w**2 + o*w + r and give z.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3150 and 90300?\nAnswer: 270900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*i - h, 4*i - 2*h - 2*h + 12 = 0. Let g(n) = 6 + 17*n**3 - 4 - i*n - 1. Let b be g(1). Solve -4*a = b, -a = 3*l - 3*a - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 13*v + 15*v - 26 = 0, 5*q + v + 43 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1)*o**(-5)\/o*(o**(-2))**(2\/55))\/((o*o**4)\/o*o*o\/(o\/(o\/o**(-7)))*o*o*(o\/(o**(2\/5)\/o))**(-2)) assuming o is positive.\nAnswer: o**(-873\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f. Let x(b) = -3*b - 46. Let t be x(-16). Let v(z) = -z + 40*z**2 - 10*z**t + z. Determine q(v(y)).\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13289244?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8467 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(((-4)\/61)\/4). Suppose -205 = 4*m - 9*m. Let w = q - m. What is the smallest common multiple of w and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37548935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 2*y - 2*y)*(y**2 + y**2 + 0*y**2) + 5*y**3 - 52*y**2 + 52*y**2 + y**3 - y**3 - y**3 to v + u*y**3 + c*y + x*y**2 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c*k - 5549*c + 55787365*k with respect to c.\nAnswer: 3*k - 5549","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 14, w: 2}. Give prob of sequence lw.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -39521 > -39518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0\/((-4)\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/98*(1 + 18\/(-3)). Let 0 + 2\/7*c**3 + r*c**2 + 12\/7*c = 0. Calculate c.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - f**2 - 2*f + 2. Let n be w(-3). Let o = n - 26. Factor 2\/5*b**3 + 0 + o*b**2 - 2\/5*b.\nAnswer: 2*b*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8586)\/(-300510)*(-15)\/7.\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 + 3 - 802735*x + 2.\nAnswer: -802735*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 39*o**2 - 25*o - 190. Let q be v(38). Calculate the greatest common divisor of q and 665.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 453973714*t + 716698924?\nAnswer: 453973714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.798 + -7.52. Let t = s - -118.922. What is t rounded to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-63))\/(20*6\/36).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqaa when four letters picked without replacement from aqaaaaaaqqaaqqaa?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 15*x**2 - 2 - 10*x**2 + 1. Let h be d(1). Suppose 4*p - 28 = -t - t, 16 = h*p - t. Solve 0 + 5 = p*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 27\/3830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 128, 264, 404, 548, 696, 848, 1004?\n\"Answer: 2*j**2 + 130*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) -2\/13 (c) 14.9707\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-12) + 4\/(-6). Let y = 0.106 - 1.106. Which is the nearest to y? (a) -0.5 (b) 3\/4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/42 - (-26)\/91?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 9:55 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/3)\/((-15155)\/3897).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 5)*((-3)\/12)\/1. Suppose 5*x - 6*x - 2 = 0, -w*f + 70 = 4*x. Let p = 575 + -224. What is the greatest common divisor of f and p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 48 = 4*f, 6*a = 3*f + a - 40. Let g = 9 - -20. Calculate the remainder when g is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 20, -5 in decreasing order.\nAnswer: 20, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 + 27*a**2 - 94*a + 1720. Give m(16).\nAnswer: -1064","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.8 - 7.6. Which is the nearest to w? (a) 0.2 (b) -0.1 (c) 2\/7 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(1\/4)\/k*k)\/k*k*k\/(k**(-5)*k))\/(k**7\/(k*(k**(2\/5)*k)\/k)))\/((k**(1\/2))**(6\/11)*k*k**3*k*k**(-2)) assuming k is positive.\nAnswer: k**(-577\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = -36*j + 309. Which is the closest to -3? (a) j (b) -0.1 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 33*d**3 - 6*d + 6. Let y(j) = -792*j**3 + 143*j - 143. Let b = -8028 - -8034. Determine b*y(a) + 143*c(a).\nAnswer: -33*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28426, 28428, 28430, 28432, 28434?\n\"Answer: 2*b + 28424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8536*d + 8466*d = 840 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -2 (c) -0.0742 (d) -0.5 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -2. Let o(a) be the second derivative of a**5\/30 - a**4\/24 - a**3\/6 + 5*a**2 + 12*a. Let q(p) be the first derivative of o(p). What is q(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336413 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1259, -1472, -1685, -1898, -2111?\n\"Answer: -213*h - 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -339, -488, -605, -690?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/4 + 1\/4. Let z = -17 - -21. Let n = z - v. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 + 22*k**2 + 41*k - 15. Let d(b) = b**3 + 11*b**2 + 20*b - 7. Let a(l) = -13*d(l) + 6*h(l). Does 10 divide a(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-9 + 595\/63).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*4\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 620850, 1 in increasing order.\nAnswer: -4, 1, 620850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/7 - 5807*u\/7 + 239768\/7.\nAnswer: -(u - 41)*(u + 5848)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 33. Let d = 20 - y. Let q be d\/2 - ((-10)\/4 + 3). Solve 0 = a - j - 1, -a = q*a - j - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/70*10*(-1 + 0)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 3, 5, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(160)*1 + sqrt(160))\/sqrt(8) - (sqrt(60)\/sqrt(3) + sqrt(20))*1)\/(sqrt(1440)*3 + (1*sqrt(120) + sqrt(120))\/sqrt(12)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-180)\/8 - (-1 + 1) and -17\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45228 is divided by 14259?\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 60964, 121929, 182900, 243877, 304860, 365849, 426844?\n\"Answer: 3*h**2 + 60956*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.022 - -3.242. Let s = g + -0.22. Let k be 16\/28 + 2\/(-7). Sort s, 2\/19, k in descending order.\nAnswer: s, k, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 60*n - 1449. Give z(19).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 20*q**4\/3 - 11*q**3\/2 + 16*q**2 + 485*q. Find the second derivative of t(p) wrt p.\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2602.57 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -26*g + 21*g. What is the greatest common factor of g and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2544\/(-2756))\/(690\/(-130))?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 515\/11 - 47. What is the second smallest value in d, 4, 0.5, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5512506 is divided by 9407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.209993 - 1.21. Round k to 7 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-188)\/36 - (-2)\/9. Let i = y + 13. Suppose -h - i = -3*h. What is the highest common divisor of h and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5669 + -5672. Let a = -22 - -18. Let v(u) = -u**3 - 4*u**2 + 5*u + 1. Let n be v(-5). What is the closest to c in n, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 53, -1.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 39 = 5*j, 17 - 2 = -p - 2*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -12*g**3 + 2*g**2. Let c(f) = -124 - f**2 + 60 + f**3 + 64. Calculate 2*c(w) + n(w).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -200*s**4 - 579*s**3 + 48*s**2 - 2*s - 225?\nAnswer: -4800*s - 3474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j = 3*j. Suppose 1\/5*f + 2\/5*f**2 + 1\/5*f**3 + j = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -64. Suppose 9 = -3*f - 6. Let c = f - -9. Solve c*d = 4*q - 12, q + 3*d = -8 + o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 12*r + 5. Let n be s(6). Suppose 147 = 4*p + 5*l + 12, -2*p = -n*l - 45. Find the first derivative of -6*v**4 - 108 - p*v**4 + 123 wrt v.\nAnswer: -144*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -h - h + 0*h + (2*h + 1 - 1)*(-2 - 1 + 5) + h + 2*h - 2*h + 3 - 3 - 2*h + 0*h + 0*h - 2*h + (-1 + 1 - 1)*(0*h - 2*h - 4*h) as a + j*h and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m. Let o(s) = -71*s + 93*s - 384*s. Calculate o(h(z)).\nAnswer: 724*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409 is divided by 51.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/49062 and 125\/1938.\nAnswer: 932178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395 = -5*j + 5*z, -76 = -j - 6*z + 10*z. What is the greatest common divisor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 15984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 41 = 4*q + 3*c, 3*q + 3*c - 27 = 0. Let n(u) = 289*u + 21. Is n(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-14)*(-34)\/51.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11757021 and 3?\nAnswer: 11757021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*a**2 + 15*a**4 - 2 + 25*a**2 - 5*a**2 + 2*a**3 - 9*a**2 - 4*a**4 as q*a**2 + n + v*a**3 + o*a**4 + s*a and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3928 and 3072.\nAnswer: 1508352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 226, 5, 280, 2, -3, 0 in decreasing order.\nAnswer: 280, 226, 5, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) 0.2 (c) 7 (d) 2 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfvdwzfw. What is prob of picking 1 v and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1406 and -79\/18.\nAnswer: 12654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 8*s**2 + 3*s - 8. Determine m(7).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 6 + 6)*(-4 - 1 + 4) + (4 - 1 - 5 + (1 + 0 - 3)*(1 - 4 + 4))*(-41 + 41 - 3*q).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 51290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1213300 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2 = 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 1544. Let b(g) = -106137*g. Give c(b(v)).\nAnswer: -106137*v + 1544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y - 6*y + 2*y**3 - 4*y**3 + 3*y**3 - 4*y**3 + (2*y**2 + 4*y**2 + 0*y**2)*(y + 0*y + 0*y) to h*y**3 + t*y + k + w*y**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*v + 19, -4*x - 17 = -v + 4*v. Let l be (1 - 4)\/(0 + v). Let g(i) = -i + 4. Give g(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 25, -a = -b - 0*a. Suppose x = -5, 4*d - b*x + x = 120. Calculate the remainder when 98 is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 8 - 0. Let h = 838 - j. What is h rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 418*t**2 + 417*t**2 - 1246*t**2 - 7*t + 412*t**2 - 254. Let b be m(-13). Let n(j) = -j**2 + 4*j + 14. Give n(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from ununnunj?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 43*r**2 - 139*r + 58. Let c be n(46). Which is smaller: c or 37\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 967, 3994, 9181, 16630, 26443?\n\"Answer: 17*z**3 + 978*z**2 - 26*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1550153, -1550350, -1550543, -1550732, -1550917, -1551098, -1551275?\nAnswer: -1551448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85 - 85*v**2 - v**3 + 88 - 5*v + 5*v + 0*v**2 - 2*v to t + o*v**2 + w*v + u*v**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181, -184, -187, -190, -193?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**3\/3 + 2*u**2 - 3*u - 18. Let z be m(2). Suppose 5*t = 106 - z. What is the highest common divisor of t and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2026\/25997 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {w: 5, x: 6, a: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d**2 - 3*d - 2. Let l(m) = 7*m**2 - 2*m - 2. Calculate -2*h(y) + 3*l(y).\nAnswer: 3*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/4135, -4\/5, 0.2, 0.03, -3, 2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002437753 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 63287799, 63287798, 63287797, 63287796?\n\"Answer: -d + 63287800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/4 and 93\/1886?\nAnswer: 3772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -16. Suppose 4*b - 36 = -5*p, -3*b + p + 8 = -0*b. Suppose -b*l + l - 40 = -2*i, -50 = -2*i - 2*l. What is the remainder when i is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42)\/35*(-10)\/3. Suppose 3*z = v*z. Suppose z*s = s - 26. Calculate the remainder when 49 is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 402 - 402. Let y(u) = -u**2 + 7*u - 1. Let x be y(7). Put n, -5, x, 2\/3 in increasing order.\nAnswer: -5, x, n, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30175?\nAnswer: 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*u = -5, 3*z + 5*u - 11 + 0 = 0. Suppose -z = -s - 0*b - 5*b, -2*s - b + 4 = 0. Solve 3*i = -s*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**3 - 746036*t**2 + 34857487808*t - 6699734808208 = 0.\nAnswer: 193, 93158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -194432 (base 11) to base 3\nAnswer: -120011200121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from hbwh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -223.758671 to the nearest integer.\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245515 is divided by 81284.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -740 (b) 14 (c) 2.4 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00017074943 to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99856*m**5\/7 - 177592*m**4\/7 + 49967*m**3\/7 + 179191*m**2\/7 + 45265*m\/7 + 3025\/7 = 0 for m.\nAnswer: -5\/4, -11\/79, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*v - 1753, 11*v = 2*y + 7*v - 690. Suppose -5*i = y + 546. Which is smaller: -180 or i?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -973058 less than or equal to -973056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3563830 is divided by 1781896.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5713 is divided by 5705.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/1*4\/(-8). Solve 6*l**3 - l**3 - j*l**3 - 2*l**2 - 2*l**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2. Let m(c) = 4*c + 7. What is l(m(h))?\nAnswer: -64*h**2 - 224*h - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2012211211 (base 3) to base 5\nAnswer: 2344002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.002 - 0.002. Are -0.11 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -17*q + 20*q. Let d be 4\/18 - 29\/9. Put d, q, -5 in descending order.\nAnswer: q, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148 + 1413 + 15*z - 4*z**2 - 15*z + 672.\nAnswer: -4*z**2 + 1937","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000050108 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 849\/64 greater than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 86006 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*q*y**5 + 2*q*y**3 + 4*q*y**2 - 7*y**6 + 4*y**2 + 2 wrt y.\nAnswer: -240*q*y**2 + 12*q - 840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from {i: 10, v: 4, w: 4, c: 2}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 798*f + 745*f + 2176*f.\nAnswer: 3719*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/1020*-272)\/(22\/165)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i**2 + 11*i + 17. Let f be 0 + 4 + -28*(-3)\/12. Let w(a) = -4*a**2 + 6*a + 9. Determine f*w(d) - 6*z(d).\nAnswer: -2*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21570346.818527 + -2\nAnswer: 21570344.818527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.7 from -2.3804557856.\nAnswer: -3.0804557856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 12:12 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z - 6. Suppose 6*u - 5*u = z. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22151 (base 7) to base 9\nAnswer: 7572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2866 - 22865\/8. What is the common denominator of 37 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-207)\/161*260\/156?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1596280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 2*r - r + 9.\nAnswer: r - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 y when four letters picked without replacement from {h: 5, y: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**5 + 785*w**4 + 42095*w**3 + 822375*w**2 + 2809080*w + 2653020.\nAnswer: 5*(w + 2)**2*(w + 51)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021892 to seven dps.\nAnswer: 0.0000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 6*q - 49. Solve 4*m = q + 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 6, -1\/10, 3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g + 169. What is w(23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 9 - -5 - 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 3:33 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/4)\/((u*u**(-4\/13))\/u*u))**8 assuming u is positive.\nAnswer: u**(58\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 4*u, 0*g + 3*g - 12 = 3*u. Suppose -g*b - 9 = -13. Find the second derivative of -10*l + 12*l**2 - 25*l**2 + 4*l**2 + b*l**2 wrt l.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 1*(sqrt(468) + 0) - -3*(sqrt(78)\/(sqrt(6) + sqrt(24)\/sqrt(4)) - sqrt(13))**2)*1.\nAnswer: 39\/4 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 83*n**3 + 587*n**2 - 7*n - 6. Let r(c) = -235*c**3 - 1760*c**2 + 20*c + 17. Give -6*r(o) - 17*y(o).\nAnswer: -o**3 + 581*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*b - 171*b - 195*b = -9576. What is the highest common factor of 3591 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, q: 4, b: 7}. Give prob of sequence bq.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91 + 44. Let v = y + 52. Factor 37*n + 25*n**2 - 8 - v*n - 7*n**2.\nAnswer: 2*(n + 2)*(9*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-5) + -4)*-7*6\/126?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -101296 divided by -2\nAnswer: 50648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17111*i**3 + 769249 wrt i.\nAnswer: -51333*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 27*t + 460. Let r be o(0). Calculate the highest common factor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(2*5\/(-40)). Let d(l) = 785*l + 15. Is d(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -19*p**4\/24 + 2*p**3\/3 + 2*p**2. Let d be b(-4). Suppose 3*m - m = -5*z + d, 0 = m. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z. Let j = -11 + 13. Let f(v) be the third derivative of 0 + 0*v**3 + j*v**2 + 0*v + 0*v**4 - 1\/20*v**5. Determine f(t(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 447420?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -5*f**7\/42 - 13*f**6\/6 + 75*f**5 - 14132*f. Factor o(j).\nAnswer: -5*j**3*(j - 12)*(j + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22238664*l**3 + 30*l**2 - 227146.\nAnswer: -133431984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -867, -2177, -3489, -4803, -6119?\n\"Answer: -z**2 - 1307*z + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3764 and 25420.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 8*d**2 + 6*d - 1. Suppose 9*b = 4*b - 30. Let t be m(b). Suppose -4*v + t = -81. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-4*a + 3*a + 3*a)*(14*a - 8*a - 20*a).\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3904\/24 - (-2)\/6. Let d = l + -92. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 30711 and 107.91.\nAnswer: 30818.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - (sqrt(128) - 1*sqrt(128))**2)*4.\nAnswer: 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 52*r + 448 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -250 - -451. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, d: 2, n: 4}. What is prob of sequence mnnd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 184338409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 20140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/(-18) + (-1)\/(-3). Let i be 1\/((5\/v)\/(-5)). Let g be 14\/10 - i\/5. Solve -g = -2*y + 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-2)*(-5 + 4). Suppose n - 3*t + 4 = -n, -2*t = -c*n + 8. Calculate the lowest common multiple of n and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1102069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/2322 and 169\/4770.\nAnswer: 615330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001010 (base 2) in base 4?\nAnswer: 10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -157.07 + 157. Let h = 3.07 - 3. Let r = t + h. What is the nearest to r in 5, -3\/4, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/775 and -82\/232275.\nAnswer: 7200525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.83042 decades to centuries.\nAnswer: 0.383042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**5\/240 - 35*d**4\/96 + 343*d**3\/12 - 7313*d**2. Factor k(q).\nAnswer: -(q - 14)*(q + 49)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8*j**2 + 32*j - 11. Calculate v(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4, 31, 5, -671\/26, -2\/5 in descending order.\nAnswer: 31, 5, 4, 0.2, -2\/5, -671\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2637847\/7424 - 10311\/29. Find the common denominator of 73\/768 and w.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.98 + 0.98. Sort 0, t, 3.\nAnswer: t, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 - 2*u**2 + 2*u + 1. Suppose 10 = -4*v + 34. Suppose -4*a = -7*a - 24. Let n = a + v. Calculate j(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, o: 2, c: 2, d: 1, j: 2}. Give prob of sequence cjj.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3247.\nAnswer: 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4828, -4859, -4854, -4795, -4664, -4443?\nAnswer: -4114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51\/5 in -0.01, -0.3, 1\/8, 2\/125, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21878401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 692034*g**3 + 900143*g.\nAnswer: 4152204*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*f + 7, 0*f + 4*g - 19 = -3*f. Let q = 4 + f. Suppose 0 = 2*p + 1 - q. Solve 0*k = p*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211369.\nAnswer: 211369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -1\/24*g**4 + 0*g**3 + 11*g**2 + 0 + 0*g. Let q(m) be the second derivative of -m**3\/3 + m. Give x(q(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 11)*(167*c + 347*c + 18*c).\nAnswer: -4788*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21, 2, 14, -3.\nAnswer: -3, 2, 5, 14, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14\/517 - 3\/47. Put -3, w, 3\/5 in increasing order.\nAnswer: -3, w, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*u + 28 + 24 - 51.\nAnswer: -61*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (1 - (5 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*l = -0*l - 6, -3*x - l = -8. Suppose -188 - 7 = -x*k - 3*s, 2*s = -4. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(9 - 0)*(17 + -32).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 - -0.2. Which is the closest to j? (a) 2 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/841668 and -49\/378750600.\nAnswer: 378750600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 16*q**2 - 1085246439871 + 1085246439871.\nAnswer: 16*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -2. Let m be (3\/(-4))\/(y\/4). Suppose 3*f - 3 = 5*q, f - m*f = 5*q - 2. Solve 5*l + a = 23, q = l - 4*a - 8 - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = 14*f - 37 + 52 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, -1, -4, 23 in increasing order.\nAnswer: -90, -4, -1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1459 + 708 + 1056 - 3*t**2 + 350*t**3 wrt t.\nAnswer: 1050*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -973.01904 + 973. Round z to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d - 11. Calculate w(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -65998.\nAnswer: -1\/32999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5718787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*s + 555 - 101 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 8:53 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i - 35. Let q be k(8). Solve q = -6*y + 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 6 - 3)*(-g**2 + 2*g**2 - 3*g**2).\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -88939.5 to the nearest one hundred.\nAnswer: -88900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 5*d**2 - 38*d + 12. Let j be z(9). Sort -3, -2, j.\nAnswer: j, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)\/(y\/(y**21*y*y)))\/(y**6)**17 assuming y is positive.\nAnswer: y**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2 - (-2 + 1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2. Let w = 40 - 39. Let d(x) = -x - x - 2 + 3*x + w - 25. Give u(d(j)).\nAnswer: 3*j**2 - 156*j + 2028","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b = -5*c + 27, b - 50 = -3*c - 61 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1804319?\nAnswer: 11, 61, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 263 - 266 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 251, -5, 2 in ascending order.\nAnswer: -5, 2, 4, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m + 258 = 2*g, -3*g - 3*m + 396 = 0. Calculate the greatest common divisor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 12. Let r = 9 - l. Let o = 4.5 - r. Which is the third smallest value? (a) o (b) 2 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.089, 4, -3\/2?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2275 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11946423 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + 4 - (-2 + -2)) + 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 3*y + 1. Suppose 0 = 4*f - 4*j - 24, 3*j = 5*f - 5 - 21. Calculate k(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -355, -2718, -9137, -21640, -42255, -73010, -115933?\n\"Answer: -338*w**3 + 3*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 10*o + 2. Let v be a(10). Suppose -v*r = -5*p - 18, -5*p - 17 + 1 = -4*r. Put p, -2\/13, 2\/11 in descending order.\nAnswer: 2\/11, -2\/13, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13166 is divided by 2625?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 5, -4, -5, -443756 in ascending order.\nAnswer: -443756, -5, -4, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 11750\/14)*-1. Let i = b + -839. Let c = -17\/14 - i. Is 0.07 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 39*p**2. Let z be 24\/6 + (0 - 4\/(-2)). Let d(m) = 17*m**2 + 13*m. Let t(y) = 8*y**2 + 6*y. Let r(q) = z*d(q) - 13*t(q). Determine r(n(x)).\nAnswer: -3042*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 - 45. Let k be c(-5). Suppose 164 = k*z - 61. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5566*x**2 - 4*x. Let l(j) = -5558*j**2 + 5*j. Give 4*l(c) + 5*o(c).\nAnswer: 5598*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12294877?\nAnswer: 7, 239, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l - 1. Let g be z(1). What is the third derivative of 12*x**2 - 6*x**g - 2*x**2 - 5*x**3 wrt x?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 22.892. Let r = k + 0.10799921. What is r rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 402*1\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 9) in base 16?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -23. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y + 100 = 23 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51075*o = -51053*o - 352 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 40*d**2 + 46*d - 268. Let b be m(39). Which is bigger: -23 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 7:54 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 6c7?\nAnswer: 6c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, 5, 14?\n\"Answer: 9*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1260*o - 379*o - 175*o + 46*o + 253*o - 651*o.\nAnswer: -2166*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**3\/3 - n**2 - 2*n - 5. Determine p(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Let a = -0.8 + 1. Let j = a + -0.1. What is the biggest value in -3, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*((-1144)\/(-561))\/26?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1719\/54 - 2\/(-12) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12140, -12134, -12128, -12122, -12116?\n\"Answer: 6*j - 12146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*m + 94*m - 51*m + 2*m**2 + 4*m**3 in the form n*m**2 + y + u*m + i*m**3 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 6:52 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u\/(u**(-2\/7)*u))\/u)**(4\/3))**(-28))**48)**(-17\/4) assuming u is positive.\nAnswer: u**(-5440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - 0*f. Suppose -4*j + 0*j + 302 = -f*s, 3*s + 141 = 2*j. Let h = j - -103. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72663524 + 2?\nAnswer: -72663522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*o = -8. Suppose o*m + 24 = -5*q, -1 = 3*q + 4*m + 7. Let j be q\/48 + (-26)\/24. Which is the second biggest value? (a) 4 (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2876752658 to the power of 1\/3, to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2279 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1450.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhhhnhhhhhhhhh.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2. Let h(f) be the third derivative of 0*f - 4*f**2 + 0*f**3 - 1\/24*f**4 + 0. What is z(h(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3116766 minutes in hours?\nAnswer: 0.00519461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*m - 119*m + 4 = 3*u, u = 3*m - 1. Let p(q) = -q**2 + 3*q - 1. Let h be p(3). Put h, m, -2, 4 in descending order.\nAnswer: 4, m, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/27215 and -33\/1807076.\nAnswer: 9035380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/11)*k**11)**(-40) assuming k is positive.\nAnswer: k**(-4880\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -24488 (base 9) in base 14?\nAnswer: -5dc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kskkzsyk. What is prob of sequence sy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 21*d = -171. Let v be 98 - (d + (10 - 7)). Which is smaller: 105 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - j - 9*b + 4550 = 4523, j = -0*j + b + 5 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9*(2 - 15\/9). Suppose -31 = -b*g + z, -g = -4*z - 21 - 4. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**2 + 2*t - 7. Let n(h) = -h**2 + h + 21. Let k(u) = u + 41. Let b(o) = 6*k(o) - 11*n(o). Calculate -6*b(s) - 13*m(s).\nAnswer: -s**2 + 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2832 + -28407\/10. Calculate the common denominator of 11\/45 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 8066\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 - 576931?\nAnswer: -576948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = 5*a + 3*j, 0*j - 229 = -4*a + j. Factor -a*m**3 - 6*m + 0 + 55*m**3 + 10*m**2 - 18.\nAnswer: -2*(m - 3)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101000101100111010111110 (base 2) to base 9\nAnswer: -22062136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8694797*i + 14850130.\nAnswer: 8694797","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7782 is divided by 778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 14 and 2408584 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-6))\/(2\/(-9)*-3). Let v(s) = 4*s**2 + 6*s - 3. Let g(w) = -w**2 - w + 1. Determine z*v(j) - 5*g(j).\nAnswer: j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - 50. Solve 3*q = 5*l, h*l + 12 = -3*q + 11*l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1572 - -1568. Put k, -2\/3, 77 in descending order.\nAnswer: 77, -2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6138, -12271, -18404?\nAnswer: -24537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -118 - -114 - (-34 + 3) - -14?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/13 (b) 3.1 (c) 4 (d) -0.06 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-18) - 666\/(-81). Calculate the highest common factor of 56 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**(-5\/3)*(b\/b**(2\/5))\/b**(-2\/7))\/(b**(2\/17)*b*b*b*b*b**2*b)**35 assuming b is positive.\nAnswer: b**(-440119\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -53, -52, -35, 4, 71, 172, 313?\n\"Answer: k**3 + 2*k**2 - 12*k - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-47263)\/(-14) - (-184)\/2576. Is m equal to 3376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*d = 79*d - 72 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -57?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - ((0 - 11) + -22 + (-15 - -29 - -17))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11030\/1 - (-12)\/15*20\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 60\/60 - ((1 - 3) + -1). Suppose 6*p = 2*p - 2*f + 144, -y*f = -4*p + 132. List the prime factors of p.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f + 1. Let q be k(1). Let t be 20\/(-15)*(-18)\/(-16). Let s = -0.3 + 0.4. Which is the biggest value? (a) s (b) t (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*z + 30*z - 25*z)*(0*z + 3*z - 5*z) - 2*z**2 - 2*z**2 + 5*z**2.\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/(-5*sqrt(10)\/sqrt(5))*4)\/(sqrt(567)\/((2*sqrt(27))\/sqrt(3)))*2.\nAnswer: -16*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2162 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 50333 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0.1, 1, -72?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(128) + -2 + 2 - 5*sqrt(128)*-1) + (4 + sqrt(128) + 2*sqrt(128) - (1 + sqrt(128) + -4 + sqrt(128))))**2.\nAnswer: -31605 - 3920*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 109*t - 367. Determine q(3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2 - ((11 - 7) + -10 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 - 492 - i**3 + 266 + 246 - 20.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2986.693 years to months.\nAnswer: 35840.316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1002 - 373 - 150)*(-4*v + 3*v + 3*v)*(3 - 1 - 4)*(0 - 2*v + 0)*(-2*v - v + v) in the form b*v**3 + a*v**2 + x*v + t and give b.\nAnswer: -7664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*g**3*x**3 + 19*g**3*x + 23*g**2*x**3 + g**2*x**2 wrt g.\nAnswer: -36*x**3 + 114*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 minutes after 7:16 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1643197 is divided by 650.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16671000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -2407446090.109.\nAnswer: -2407446090.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 169*r**2 + 7*r - 3. Let d(p) = 678*p**2 + 30*p - 14. Let i(f) = -2*d(f) + 9*s(f). Is i(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 minus 205053283414?\nAnswer: -205053283423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66.031 - 66. Let v = 5.031 - r. Which is the nearest to -1? (a) v (b) 0.6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14901 times -347.7?\nAnswer: -5181077.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 116307.9ml in litres?\nAnswer: 116.3079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*j + 52, 2*n - 5*n + 48 = 3*j. Suppose -121 = m - n*m. Is m bigger than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1)*58\/(-2). Let o = -93 - h. Is 4\/14 + o\/(-14) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-36))\/(7 + (-332)\/48).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 609, 1196, 1775, 2340, 2885, 3404, 3891, 4340?\nAnswer: 4745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65013, -130036, -195057, -260076, -325093, -390108, -455121?\nAnswer: -520132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 0*j**2 + 2 - j**2 - 4*j - 5*j**3 - 2*j**2 + 6*j**3 - 2*j**3. Let w(q) = 2*q**3 + 5*q**2 + 7*q - 3. Give -10*o(s) - 6*w(s).\nAnswer: -2*s**3 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1026456 (base 7) to base 6\nAnswer: -2401310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/40*12\/(-72)*-4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 242 and 352?\nAnswer: 3872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -35496*t**3 + 464*t**2 - 464*t + 464. Let y(b) = -229*b**3 + 3*b**2 - 3*b + 3. What is 3*r(x) - 464*y(x)?\nAnswer: -232*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7*c - 1450000 = 0. What is c rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.4 and 28927.\nAnswer: 28928.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 35*c + 358. Let z(o) = -o + 1. Let x be (-37)\/12 + 8\/96. Let h(a) = x*z(a) - k(a). Solve h(l) = 0 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2692498 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 5:12 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9b - -16930?\nAnswer: 16a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 - 4*m + 4*m + (3*m**3 - 6*m**3 + 5*m**3)*(2 - m - 2) + 0*m + 0*m - 2*m**4 + (m**3 - 2*m**3 - m**3)*(7*m + 3*m - 4*m).\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1036346? (a) -4 (b) -1\/4 (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70222 - 163652.4.\nAnswer: -93430.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from pzvvppvvvzpzzz?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -985166, -985112, -985016, -984878, -984698, -984476?\nAnswer: -984212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38*2\/(-4) - ((-11 - 5) + 21)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**1*c\/c**(-1\/14)*(c**(-1\/4))**(-18) assuming c is positive.\nAnswer: c**(46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b + 2956 = 4*c, 0 = 3*c + 4*b - 2204. What is c rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/4 - (-189)\/84. What is the third derivative of 91*b**2 - 7 - 184*b**s - 41 + 81*b**3 + 91*b**2 wrt b?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5592365 and 336774?\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 47966338 to the nearest ten thousand.\nAnswer: 47970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2060.9 + -2061.112978. What is o rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7241 + 1140*z**2 - 7241 to y*z**2 + n + u*z and give y.\nAnswer: 1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 84, -10, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2862*m - 231959. What is o(-81)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 10. Let k be (m + 0\/2)*1. Suppose k = 4*o - 2*o - 22. Solve y - 31 = 5*h - o, 0 = -5*y - 3*h + 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110101 - -100?\nAnswer: 110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.8989 to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/4*(168\/49)\/(-3). What are the prime factors of 684332\/748 + j\/34?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 3*w**2 + 2*w + 3. Suppose 0 = 3*q - 17 + 5. Give m(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 5*t + 0)*(-5*t + 4*t + 4 - 2).\nAnswer: 5*t**2 - 8*t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(((-2646)\/108)\/49).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-10)\/50 + (-8311)\/(-45705))\/((-140)\/105) and 59\/2216.\nAnswer: 24376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, c: 1, w: 1, y: 3}. Give prob of picking 1 w and 1 c.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/3*1\/(-2). Let f = -121 - -121.2. What is the second smallest value in h, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*s. Let c be s - (-4 + (3 - 1)). Solve 5*a + 10 = -l, 2*l + 0*a - c*a + 8 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4 + 52*k**3 - 307*k + 47*k + 3*k**3 - 892*k - 168*k**2 - 13*k**3 = 0. Calculate k.\nAnswer: -16, -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -3\/2, -3\/470, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.07, -4, 0.067, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -510232.7 to the nearest 100.\nAnswer: -510200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**3 + 8*m**2 - 14*m + 20. Let g(s) = s**3 + s**2 - 2*s + 4. Calculate -5*g(i) + v(i).\nAnswer: -i**3 + 3*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**5 - 9*s**4 + 47*s**3 - 36*s**2 - 3*s + 3. Let c(h) = 3*h**4 - 2*h**2 - h + 1. Let g(u) = -3*c(u) + k(u). Find x, given that g(x) = 0.\nAnswer: 0, 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3080 + -3076. Solve -d*u + 20 = 5*m, -4*m + 2*u + 11 = -5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 bigger than 19686\/3497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/3186)\/((-1)\/6))\/((-598)\/(-2691))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**3\/(q\/q**8*q)*q**(-4)\/q**13 assuming q is positive.\nAnswer: q**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 441370 - 0.13830135?\nAnswer: 441369.86169865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483964?\nAnswer: 2, 13, 41, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*u + 1214978 + 3029236 = 0. List the prime factors of u.\nAnswer: 54413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 37.5767 and 0.4?\nAnswer: 15.03068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(8).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**9\/7560 - o**5\/60 - o**4\/12 - o**2. Let x(k) be the second derivative of u(k). Differentiate x(i) with respect to i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(104)*-4)\/sqrt(8))**2 - (-2 + ((sqrt(65)*5)\/sqrt(5) - sqrt(13))).\nAnswer: -4*sqrt(13) + 214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*q - 189, 3*q = 2*s - 142 + 16. Calculate the greatest common factor of 14 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 23*h**2 - 42*h - 24. Let b(l) = 21*l**2 - 42*l - 20. Determine 5*a(w) - 6*b(w).\nAnswer: -11*w**2 + 42*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 58.9. What is the closest to 1 in a, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/17)\/(i\/i**(-7\/2))*(i\/i**(-7))**(-37) assuming i is positive.\nAnswer: i**(-10213\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 minus -0.29844008?\nAnswer: -16.70155992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(10\/(-3)))\/((-11)\/(-55))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1976, 229, 3912, 9073?\n\"Answer: 739*f**2 - 12*f - 2703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**6 - 344920*h**3 - 3*h**2 - h - 367819 wrt h.\nAnswer: 480*h**3 - 2069520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/13 + 1 + -2. Which is the second smallest value? (a) -4 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqeedzezqzd. Give prob of sequence dz.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 2. Let b be k(-1). Let f(h) = -h**2 + 1. Calculate f(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Let i(w) = 8 + 2 + 13 + w. Calculate the smallest common multiple of l and i(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -33. Let z = -6.4 + 6.3. What is the second biggest value in g, 0.7, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52 and -1.8316.\nAnswer: -95.2432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 2 - (-6 + 14 + -3 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*s + 6 = -2*z, 0 = 4*z + 5*s - 13. Suppose 23 = -z*o - 7. What is the remainder when ((-16)\/12)\/(2\/o) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, t: 3, n: 1, o: 6, v: 1}. What is prob of picking 1 e, 1 t, and 1 o?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 294132.8mm?\nAnswer: 294132800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 103683296 and 2764158.\nAnswer: 106447454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 47557.73t in kilograms?\nAnswer: 47557730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1005 + -1005.5. Sort -0.1, 1, u, 1\/4 in decreasing order.\nAnswer: 1, 1\/4, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7 + 5*n - 16 - 4*n - 4*n. Let v be f(-7). Let g(k) = 44*k**2 + 11*k + 18. What is the units digit of g(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -8, -25 in increasing order.\nAnswer: -25, -8, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.35 (c) -0.03 (d) 2\/57 (e) 3\/2 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/24294 and -47?\nAnswer: 24294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-12) + 3)*1\/6\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 3*b + 0*b)*(1 - 2 + 2) - 2*b - 4*b + 7 + 5*b.\nAnswer: b + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2369 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r = -5873*f + 5868*f + 60, 0 = -3*f - 5*r - 7 + 4 + 37 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -34*p. Let z(y) = 73*y. Let u(g) = -13*n(g) - 6*z(g). Let x(j) be the second derivative of -j**4\/6 - j. Calculate x(u(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - g - 2. Let l be x(2). Suppose l*v = v + 4. Let d be 1 + (-3)\/(6\/v). Put d, 1\/7, 0.4 in decreasing order.\nAnswer: d, 0.4, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 7*o = -4, -4*v = o + 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 556414 = -3*d - 24403, j - 4*d = 290391. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-242)\/(-6))\/(-11))\/((-8)\/(24\/(-1))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -433141 + -551?\nAnswer: -434022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*z - 259*z + 128*z + z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 357*s**2 + 12265*s**3 + 12266*s**3 - 24528*s**3 to n*s + t*s**2 + r*s**3 + j and give t.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 7 = 9. Suppose 3*j = 3*x - 21, 3*x - 2*x = 4*j + s. Let c(i) = 5*i**2 + i - 9. Is c(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyyy when four letters picked without replacement from ywsswysys?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4518142781, 4518142782, 4518142783?\nAnswer: 4518142784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11752, 11754, 11756, 11758, 11760?\nAnswer: 11762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -180\/623 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-35)*b*b)\/b)**(-40))**(1\/2) assuming b is positive.\nAnswer: b**660","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -509\/4 + 128. Let g = 1 - -1. Is y < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -143404*q**2*t**3 + 47*q**2*t**2 - 75*q**2*t + 2*q*t - 1766*t wrt t?\nAnswer: -860424*q**2*t + 94*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2 (c) -8 (d) -4 (e) -278\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**6\/50 - 87*a**5\/50 - 577*a**4\/20 + 3828*a**3\/5 - 26136*a**2\/5 + 4079*a. Factor r(u).\nAnswer: -3*(u - 4)**2*(u + 33)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) -2 (c) 0.2 (d) -0.2 (e) -1\/1287\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-5)\/50)\/(56\/(-80))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, 1\/12, 3\/19, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-79 - 1) + (-11 - -32) + -10.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74558, -149243, -223928, -298613, -373298?\nAnswer: -447983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 5:20 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39, -102, -203, -336, -495?\n\"Answer: l**3 - 25*l**2 + 5*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a + 1019 = 2*a + 1019. Let n(s) be the second derivative of -s**2 + 6\/5*s**5 + 0 + 24*s + a*s**4 + 0*s**3. What is the derivative of n(r) wrt r?\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8286*s + 7816*s + 20301 + 8839 for s.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1393469 bigger than -1393473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(4) - sqrt(144)) - (sqrt(275) + -5)) + sqrt(11) + (sqrt(11) - (sqrt(33)\/sqrt(3) + sqrt(11))) + 0 + sqrt(66)\/sqrt(150).\nAnswer: -5*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**3\/6 + 4*b**2 + 3*b. Let l be o(6). Suppose 0 = -a + 5*w + 102, 3*a - 2*w - l*w - 361 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53059 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/((-520)\/(-36))*2\/(-3)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*-3128\nAnswer: 12512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 5:39 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b - 12. Let q be k(4). Solve -4*g + q = 4*t - 8, -5*t + 3*g + 26 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 895.93 decades in years?\nAnswer: 8959.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 10*i - 44 = 0. Let z = 14 - i. Let v(m) = m**2 - 4*m. Calculate v(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 346580, -3, 5 in ascending order.\nAnswer: -3, 2, 5, 346580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.420932 and 5?\nAnswer: 2.10466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f. Let c(w) be the second derivative of 1\/2*w**2 + 0 + 0*w**4 + w - 1\/30*w**5 + 0*w**3. Let p(z) be the first derivative of c(z). What is g(p(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -976.825 * 15.\nAnswer: -14652.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/b**7))**(-36)\/(b\/((b\/b**(2\/47))\/b)*b*b**11) assuming b is positive.\nAnswer: b**(-14149\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*l + 45 + 67, 3*l - 2*y = 128. Suppose -l = 3*n - 13*n. What is the smallest common multiple of 60 and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32923555 to the power of 1\/2, to the nearest integer?\nAnswer: 5738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 + 52. Put 0.14, x, 1\/4 in descending order.\nAnswer: 1\/4, 0.14, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8*x + 2. Let d(u) = 0*u + 2 - 7*u + 3 - 3. Suppose 0 = -3*y - 2*v + 24, 5*v = 6*v - 3. Determine y*d(z) - 5*l(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -16*r - 12*r - 20*r - 3*r**2 + 45*r. Suppose -2*o - 2 - 30 = -y, -3*y = o - 68. Let t(w) = 24 - w - w**3 - w**2 - y. What is -b(s) + 3*t(s)?\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*o + 2251*o = 73266 + 5174 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnn. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 + 80*i**2 + 9*i + 342. Give a(-40).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1 + (0 - 1 + 2)*(6 + 0 - 4) - 2 - 2 + 6)*(0 + 0 - 2)*(8*q + 35*q - 12*q).\nAnswer: -310*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/3*-2)\/(16\/(-48)). What is the third biggest value in 1, -0.3, 3, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3741 = -134*n - 1329 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.43 - -62.43. Let u = -61.89 + k. Let w = u + -0.01. Is -18 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6767 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*s + 2*u - 18, s - 9 = 5*u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63.78 - -66.78. What is the third biggest value in -4, -319, b?\nAnswer: -319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-147 + 127)*(-12)\/10)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 12. Let p be r(-13). Which is smaller: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123169811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0052525 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2446553, 3.\nAnswer: 3, 4, 2446553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237471 = -23*i + 298590. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**3\/4 + 29*t**2\/2 - 33041*t\/4 + 329511\/2 = 0.\nAnswer: -221, 21, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3 + 0*n + n**3 + 2*n + 41*n**2 - 38*n**2. Let q be u(-2). Solve -5*k = q*h + 22, -4*k - 5*h - 5 = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-92.8\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s + 166*s**2 - 76*s**2 + 508*s**2.\nAnswer: 598*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8 - 6 + 0*o**2 - 2*o**2 + 3*o. Let w(h) = 2*h**2 - 4*h - 3. Let b be 13\/(-5) + (-4)\/10. Determine b*w(f) - 4*d(f).\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2081 - m**3 + m**2 + 3016 + 3011 - 1786 to the form d*m**3 + s + l*m + x*m**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20503 and 909?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 0.076888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 2:36 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -299337*20.7\nAnswer: -6196275.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 112459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ttitttittt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from qeqeeeeeeqeeqqqaa.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 4*c - 12. What are the prime factors of q(-10)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4323390.5 to the nearest one hundred thousand.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76203 + 77926 = -619*w + 2107*w + 17233 for w.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-16)*(-1 - 552\/(-630) - (-64)\/240)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 5*w + 4. Let x be o(-4). Let s be (6\/8)\/((-2)\/(-8)). Suppose x*j = s*j - 21. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 269.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 12 = -2*f - 2*c, -4*f - c = -12. Let p = -0.3 + 0.1. Let y = -3.2 - p. Put y, 0.4, f in ascending order.\nAnswer: y, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(-4)*-2*12. Let p be 5*(x\/15 - 4). Suppose -1\/2*m - 1 + 1\/2*m**p = 0. What is m?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -5. Suppose 1 = -k + u*j + 3, 4*j = 0. Solve 3*w = -k*w - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 3*u. Suppose 0 = 2*s - 3*s + 9. Let a be -2*1\/(-6)*s. Let q(k) = 0*k + 2*k**2 - k - 1 - a*k. Determine 3*c(z) - 2*q(z).\nAnswer: -z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 97 + 4?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43080313*j**2*n**3 + 2*j*n**2 + 82*j*n + 2*j - 316*n**3 - 13 wrt j?\nAnswer: 86160626*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*j*x**2 - 19*a*x**2 - 2*a + 24*j*x - 4*x wrt x.\nAnswer: 4*a*j - 38*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*l - 2*l**3 + l**3 + 4*l**4 - l**4 + 3*l**2 - 2*l**4 as t*l**4 + a*l + h*l**3 + q*l**2 + g and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 15. Suppose 3*r + 8 = 2*r. Determine f(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*i**2 + 1018275 - 509110 - 509165.\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 8*y + 20. Factor 2*t**4 + 7*t**3 - 5*t**3 + y*t**2 + 2*t**2 + 2*t + 4*t**3.\nAnswer: 2*t*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -4\/5*n**2 - 2*n + 1\/50*n**5 + 2 - 1\/6*n**4 + 8\/15*n**3. Let h(g) be the first derivative of f(g). Factor h(l).\nAnswer: 2*(l - 2)**2*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, t: 3, b: 5, q: 3, m: 1}. Give prob of picking 2 t, 1 c, and 1 q.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 12*a - 22. Let b be k(-9). Find the second derivative of 16*f**2 + b*f + 9*f - 4*f wrt f.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovv when three letters picked without replacement from {t: 4, g: 4, o: 4, r: 4, v: 4}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -51761 divided by -2\nAnswer: 51761\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 divided by 92?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 + -86.8. Let c = -54 + 51. What is the nearest to -0.1 in c, o, 4\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9150, -36662, -82504, -146670, -229154, -329950, -449052, -586454?\nAnswer: -742150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*s - 49*s - 135 = -2*a, -4*a - 4*s + 252 = 12 for a.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 250.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -594, -1191, -1790, -2391?\nAnswer: -2994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.5 (b) -8 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 650 - 2683\/4. Find the common denominator of i and 83\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1003 + 93. Let l = u - 508. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 + 1501\/38)*5*30\/3.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9751 less than -9752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3939\/312 + 20\/(-32). Calculate the highest common factor of 174 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 7*b + 7. Let z(w) = -w**2 + 6*w - 6. Let s(a) = 6*c(a) + 7*z(a). Let y(p) = 2*p**2. What is y(s(d))?\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -8, 2933\/13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 26 = 106. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -197, -774, -1735, -3080, -4809, -6922?\n\"Answer: -192*y**2 - y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55*(-9)\/(-225))\/((-1)\/5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5 = 0, r - 32 = -0*r + 3*b. Let v = r - 12. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 8:57 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {y: 1, g: 1, s: 1, f: 1, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2743, 13171, 31287, 57097, 90607, 131823, 180751?\nAnswer: 237397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a. Let r = 300 - 300. Suppose 5*o - 2*t - 26 = r, 4*t = -2*o - 0*o - 4. Let n(c) = -c**3 + c**2 + 4*c - 2. Give o*u(d) + n(d).\nAnswer: -d**3 + d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1674 (base 10) to base 11.\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7626718?\nAnswer: 2, 11, 346669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-138)\/(-10) - (360\/50)\/9. Let y(u) = -u**2 + 8*u - 9. Let c(a) = -a**2 + 7*a - 8. Let l(w) = -3*c(w) + 2*y(w). Let q be l(4). Does q = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163230167137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 - 6*j**2 - j**2)*(19*j**3 + 2*j**2 + 22*j**3 - 2 - 38*j**3).\nAnswer: -33*j**5 - 22*j**4 + 22*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38775 is divided by 12860?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -334*o**3 - 9 - 9*o**2 - 44*o**3 - 224*o**3 wrt o.\nAnswer: -3612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*c = -228*c + 17 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42585*k + 1729752 = -42577*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -45, -108, -199, -318, -465, -640?\nAnswer: -843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1325 by -3.\nAnswer: 1325\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 697020 to the power of 1\/2, to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4267130 is divided by 344?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1750 and 465850?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1100 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665 = -15*q + 1745. Let r(v) = -v**3 + 7*v**2 - 6*v - 1. Calculate the remainder when q is divided by r(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 2:14 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.371+128.09693\nAnswer: 129.46793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, g: 3, e: 5}. Give prob of sequence egge.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3783415660?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -57 (b) -2\/21 (c) -2\/19 (d) 0.5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 3, 7175, -3, 460, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q + 5*q - q)*(4*q - q - 5*q) + 272*q**2 - 280*q**2 - 115*q**2 in the form t*q + o + n*q**2 and give n.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -16\/7, -1277, -0.0388, -5?\nAnswer: -0.0388","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 45*g + 165. Give y(9).\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 42*v + 287. Let p be i(-47). Let w = p - 499. Solve 8 = 5*a + w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 w when three letters picked without replacement from hgyhgmgwgwgggygghgg.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 286 (base 11) to base 16\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, d: 3, j: 8, a: 4}. Give prob of sequence da.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(605)*4 + sqrt(605) - sqrt(605))*-1 + (-3 + sqrt(605))*3)*-4 + 0 + 1)**2.\nAnswer: 3256*sqrt(5) + 11049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/15 (b) 733285 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3788 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100111101110 (base 2) in base 13?\nAnswer: 3038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z - 5 = 0. Let a be 10*z*9\/(-18). Let r(p) = p**3 + 5*p**2 + p + 7. Determine r(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1031\/270 - 121\/27. Calculate the common denominator of y and -13\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -65*a**3 + 235*a**2 - 115*a - 40. Let k(l) = -16*l**3 + 59*l**2 - 29*l - 10. Let j(f) = -4*c(f) + 15*k(f). Factor j(z).\nAnswer: 5*(z - 2)*(z - 1)*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 312 = 4*u, 0 = -4*t + t - 5*u + 230. Calculate the remainder when t is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**6\/60 + 2*w**5\/15 + 5*w**4\/12 + 2*w**3\/3 + 3*w**2. Factor u(t).\nAnswer: 2*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5817 + 5817.5. What is the smallest value in -1, 5, -2, n, 0.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -673*r + 138*r - 70*r - 7260 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39035979 and 144?\nAnswer: 624575664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*q + 27*q. What is the second derivative of 71*k**3 + 33*k**3 - 8*k**3 + 112*k + q*k**3 wrt k?\nAnswer: 576*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -1.205404.\nAnswer: -1.005404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1\/(-4) + 168\/96.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (10\/4)\/((-1)\/(-2)). Suppose 4*d = -4*f - f - 70, 0 = -h*f - 4*d - 50. Let b(g) = g**3 + 14*g**2 - g - 1. Is b(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 5*l**9\/504 + 3*l**5\/20 + 5*l**2. Find the third derivative of r(v) wrt v.\nAnswer: 600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 306 + 1656672?\nAnswer: 1657200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/54)\/(4\/(-6)). Let p = 19 + 16. Let n be (1 - (-30)\/p) + -2. What is the closest to 1 in n, b, -1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1348 and 819921?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103 (base 5) in base 3?\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-10))\/((4\/6)\/(((-679400)\/129)\/(-79))).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(6\/13)*u)\/u**(3\/8))\/(u**(-2\/15)\/(u\/(u\/(u*u**(-1\/20)*u*u))*u*u)))**(-44) assuming u is positive.\nAnswer: u**(-21175\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34 and 9430.\nAnswer: 160310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5212 is divided by 3816?\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 52?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -13. Let u(f) = f**3 + 14*f**2 + 11*f + 4. List the prime factors of u(x).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/4*(11 - (-3 - -1732))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b - b)*(-96*b - 35*b**3 + 96*b).\nAnswer: 35*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 3:58 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h - 21 + 21 + 2*h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -24*y - 117. Calculate n(-8).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 divided by 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.11, 0.3, 0.4, 0.5 in decreasing order.\nAnswer: 0.5, 0.4, 0.3, -3.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 20 (b) -1\/4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-eight fifths of a century?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 56745248, 56745234, 56745220, 56745206, 56745192, 56745178?\n\"Answer: -14*f + 56745262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1032961*m - 1520 = 1032921*m for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73960410 to the power of 1\/2, to the nearest integer?\nAnswer: 8600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 6*y + 40. Suppose -2*p = 3*i - 94, 273 = y*p - i - i. List the prime factors of p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g = -16*g + 18*g + 41*g + 1060 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(486)*3)\/(sqrt(2) - sqrt(8)\/sqrt(36)) - (-5*(sqrt(12) + sqrt(3))**2*-1 + (-1*sqrt(1152) - sqrt(18))\/sqrt(6)).\nAnswer: -135 + 99*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2058, -4115, -6168, -8217, -10262, -12303, -14340?\n\"Answer: 2*d**2 - 2063*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -1 - p**3 + 1\/20*p**5 + 122*p + 1\/4*p**4 + 7\/2*p**2. Determine z(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t + 9. Let c be j(25). Suppose 262 = 4*o - z, 2*z + c = 5*o - 217. Calculate the smallest common multiple of 2 and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1\/4, 5903, -5\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(1\/9)*a*a**(-1\/3)*a*a)\/(a**(-2)\/a)**(15\/7))**(-14))**(1\/39) assuming a is positive.\nAnswer: a**(-1160\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*j + 225 = -134*j. Calculate the greatest common divisor of j and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11339? (a) 0.4 (b) -2 (c) -0.1 (d) 11 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g - g**3 + 20*g - 40*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1709436, 1709438, 1709440, 1709442?\n\"Answer: 2*y + 1709434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9308830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 910971.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*p + 1317 = 30*p + 399 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 2\/25, 31.2 in ascending order.\nAnswer: -13, 2\/25, 31.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187981 is divided by 96.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(84)\/(1*sqrt(300)) + (-2 + (2*sqrt(343) - sqrt(343) - sqrt(7)))**2)*6.\nAnswer: -6144 + 2856*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - f - 4. Determine x(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000142 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c - c**2)*(32*c**3 + 36*c**3 + 10*c**2 - 66*c**3).\nAnswer: -2*c**5 - 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2\/5, -3, -50\/41?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6\/(-10))\/(4885\/775 + 2 + -7) and 1\/505?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-390)\/(-20)*8\/12. Find the common denominator of -28\/3 and v\/26 - (-190)\/(-28).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-6))\/(26\/4).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-39)\/(-51)*150\/975. What is the nearest to 0.1 in -11, 1\/9, k, -3\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 16.1. Let c = -9 - -6. Put 5, n, c in decreasing order.\nAnswer: 5, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**3\/3 + 13*s**2\/2 - 8*s + 11. Let b be k(-14). Suppose -32 + 8 = -b*t. Solve -3*m = t*n + 2*m - 33, -m = -n - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g - 6. Let q be r(-4). Let z be (-4)\/8*(-1)\/q. Let i = -5 + 7. What is the second smallest value in -2, i, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6850 + -3934. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*m = -461*m + 232*m + 50*s + 415, 3*s + 24 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)\/(x*x**(-4)\/x)*x\/(x**(-1\/2)*x)*x\/x**3)\/((x**(-1\/4)*x)\/(x**(-2)*x))**(-31) assuming x is positive.\nAnswer: x**(219\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 200.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4558 divided by 53?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 0*v**2 - 5*v - v**3 + 0*v**2 - 4. Let n be a(9). Let k = 2378 + n. Round k to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 3, -352601854?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 1452204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14130011 (base 5) to base 16\nAnswer: -238df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21\/2 - -11. Which is the second biggest value? (a) -0.3 (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 943130702?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 8*f**2 + 3*f - 22. Suppose 8*x - 3*x = 0. Suppose 2*j - 7*j - 45 = x. What are the prime factors of s(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49617, -99140, -148663, -198186, -247709, -297232?\nAnswer: -346755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 12626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 13. Let h(t) = -32*t. What is w(h(d))?\nAnswer: -32*d - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-391778.29\nAnswer: -117533.487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -10011?\nAnswer: -10005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8749.6 times -134\nAnswer: 1172446.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h - 7560 + 38552. List the prime factors of h.\nAnswer: 2, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17 + 4*(3 - (-276)\/(-48)). Let c(n) be the first derivative of n**3\/3 - 3*n**2 + 2*n + 2. Give c(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(120))\/sqrt(10))\/(sqrt(36)\/(sqrt(9) + -2*sqrt(9))) + 4 + -2.\nAnswer: 2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/7 (b) -0.1 (c) 5 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/90*-190*3\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 7*w**2 - 7*w + 1. Let i be h(-8). Let x = 10 + i. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5 = -11*g + 7*g, -7 = 2*g - 3*c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 11*o**8\/6720 - o**5\/10 + 5*o**4\/12 + 3*o**2. Let y(l) be the second derivative of t(l). Differentiate y(k) wrt k.\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2351 + 2355. Solve o = -4*z + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 174\/4176 + 50\/(-48). Suppose -2*m + 4*m = 10. What is the nearest to s in 2\/9, m, 2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90439*l**3 + 72761*l**3 + 35247*l**3.\nAnswer: 198447*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133000210 - -20130?\nAnswer: -132320020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2808 divided by 3\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 535149744 a multiple of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 2*b + 2. Let k(s) = 6*s**2 - 5*s + 6. Let x be -4 + 7\/1 - 3 - -8. Determine x*h(m) - 3*k(m).\nAnswer: -2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -881475 - 75525. What is m rounded to the nearest ten thousand?\nAnswer: -960000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -819048, -1638053, -2457058, -3276063?\n\"Answer: -819005*a - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 + (-4 - (-8 - (16 + (-14 - -2)))).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 + 302*a\/9 + 3068\/3.\nAnswer: -2*(a - 177)*(a + 26)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6683, -6664, -6611, -6506, -6331, -6068, -5699, -5206?\nAnswer: -4571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*v = -64*v - 55, -2*m + v = -9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55644358 and 7?\nAnswer: 55644358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*k - 2 + 1, x = 2*k - 7. Let b be (-16)\/x + (-12)\/(-9). Determine i, given that -8\/3*i + 0 - b*i**2 - 7\/3*i**4 - 6*i**3 - 1\/3*i**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 3 = -2*t - 0 - 2, 0 = 3*i + 3449 - 3464 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.86 + 1.71. Sort -0.3, p, -0.05 in decreasing order.\nAnswer: -0.05, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (190\/(-57))\/(2\/(-12)). Let y(v) = -32*v - j*v + 81*v - 20*v. Let g(l) = -10*l**2. What is y(g(i))?\nAnswer: -90*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -6, 1, -51, 2\/13, 0.1?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**9\/141120 + v**7\/3920 + v**6\/840 - v**5\/20 - v**4\/8 + 4*v**2 - 1. Let a(x) be the third derivative of s(x). Factor a(q).\nAnswer: -3*(q - 2)*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -8*z - 50684, 40522 = 4*w - 19*z + 21*z. Is 68 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -12*o**2 - 21910*o + 2. Let k(d) = 8*d**2. Calculate h(k(g)).\nAnswer: -768*g**4 - 175280*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f**4\/4 - 84381*f**3\/4 + 378855*f**2 - 50139*f = 0 for f.\nAnswer: 0, 2\/15, 18, 1857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 - 415*i**3 + 4830*i**2 - 20000*i + 28000.\nAnswer: 5*(i - 70)*(i - 5)*(i - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 615554 or 1.1?\nAnswer: 615554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 7:21 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n**2 - 616*n + 263. Let x be j(85). Round x to the nearest ten.\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176*0.01\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10718.00304 - 10718. What is m rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*g**2\/3 + 664*g\/9 + 448\/3.\nAnswer: -2*(g - 24)*(15*g + 28)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/18 - ((-1)\/2 - 10\/90). Which is the nearest to -1\/60? (a) -7 (b) j (c) 3\/5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 + 38*o**2 + 32. Let u be y(-19). Suppose 28*q - u = 26*q. Calculate the remainder when 20*4*2\/4 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 587 + -591. Suppose 0 = 9*y - 24*y - 45. Let q = -4.9 - 0.1. Put q, c, 0.02, y in decreasing order.\nAnswer: 0.02, y, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + -56. Suppose q = -5*b + 12, 1 - 7 = -g*b + q. Suppose b*h = 2*v - 1264, 3*v - 5*h - 1225 - 673 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, v: 3}. Give prob of picking 1 w and 2 v.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 o, and 1 c when four letters picked without replacement from {e: 3, o: 5, q: 7, c: 1}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 + 39 + 12 - 35 + 50 in the form d*s**2 + y*s + h and give h.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n - 9. Let w be i(-6). Find the first derivative of x**w - 2 - 6*x + 6*x wrt x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3\/7 - 92*z**2\/7 + 530*z\/7 + 624\/7 = 0.\nAnswer: -1, 8, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.53270485 + -0.5?\nAnswer: 84.03270485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1861569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - v**2 + 3. Let q(t) = -11*t**3 + 12*t**2 - 13. Let r(u) = -2*d(u) - q(u). What is the third derivative of r(o) wrt o?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.151 + 0.151. Let a = -88.2 + 101. Let x = v + a. Round x to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 16 - 5. Suppose 2 = -4*c + 5*c. Suppose 0 = c*q + 3*q - 385. What is the greatest common divisor of q and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*v - 94 + 383 + 320 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.09 - 0.09. Let s = -0.12 + -0.88. Which is the closest to f? (a) 5 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 108308 + 4*x**2 + 108307 + 46*x)*(-12*x + 3*x + 3*x)*(-2*x**2 + 0*x**2 + 3*x**2).\nAnswer: -24*x**5 - 276*x**4 + 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 29*h**2 + 26*h + 59. Let v be w(28). Let j(n) = 9*n**3 - 49*n**2 + 64*n - 16. Let q(c) = c**3 - c**2. Let l(x) = v*q(x) + j(x). Factor l(r).\nAnswer: 4*(r - 2)**2*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 679 = -687 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 52\/(-51) - (-1 + 0). Let m = z + -475\/51. Calculate the common denominator of m and 10\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 46357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -43. Let j = -27 - d. Suppose 8*u = j*u + 81. Which is smaller: -26 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9712, -9707, -9698, -9685?\nAnswer: -9668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -194 divided by 1175\nAnswer: -194\/1175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2667785904?\nAnswer: 2, 3, 7, 2646613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 + -0.32. What is the nearest to 0 in f, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/33, 4, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kokkookokoookkkkokok?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, z: 1, g: 3, h: 3, c: 2}. What is prob of sequence chjz?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1110462903.997958 + 1110461712. Let c = p + 1192. Let j = 0.002 - c. Round j to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166130894 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + 4\/(-4) + (3 - 3). Let h be 2 + 20\/o + 6 + 1. Suppose 0 = -6*s + h*s + 61. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 365 - 365. Let w(s) = s**2 - 3*s**2 + 3*s**2 + 65. What are the prime factors of w(u)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103 + 182. Suppose t = -2*a + h, 3*t + a - 4*a = 201. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*m - 382 - 229, 4*j = -2*m - 2402. Let l = 600 + j. Put 0, l, -5 in descending order.\nAnswer: 0, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.6, 19 in decreasing order.\nAnswer: 19, 1, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8717 + 15433. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a + 2*a - 3*a + (-2 + 3 - 2)*(2*a + 3*a - 2*a) - 11*a - 22 + 14 + 7 in the form h*a + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**3 - 11*w**2 + 3*w + 12. Suppose -3*s - j + 31 = 2*s, 0 = -2*s + 3*j + 26. Let h be d(s). Suppose 0 = a - 160 - h. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sass when four letters picked without replacement from {s: 1, a: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -112 - -476. Let l = 366.7 - i. Sort 0, l, 0.4 in decreasing order.\nAnswer: l, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21719342?\nAnswer: 2, 10859671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15760 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*t**2 + 358 - 277*t**2 - 977.\nAnswer: 3*t**2 - 619","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d = -4*y - 210, -4*d - y + 24 = d + 37 - 68 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p - 9. Let k(m) = -7*m + 18. Let o(f) = 5*g(f) + 3*k(f). Give o(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8581.376 millilitres?\nAnswer: 8.581376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -i + 1204, -6384 = -5*i + 2*d - 415. What are the prime factors of i?\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -18. Let y(w) = l - 7 - 4 + w**2. Let h(j) = -10*j**2 - 11. Suppose -35 = 11*g + 207. What is g*y(p) - 2*h(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1803, -3588, -5373?\n\"Answer: -1785*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 480510 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 278 and 314.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951688989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 548520 to the power of 1\/2, to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + -7 + -6 + 8 - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 58*q**2 - 5*q - 15. Let x(y) = 59*y**2 - 6*y - 18. Give 6*l(b) - 5*x(b).\nAnswer: 53*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**6\/20 + u**5\/60 - u**4\/12 + u**2. Suppose -4*o + 18 = -4*g + 2, -4*g = 5*o - 2. What are the prime factors of h(g)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/41175 and 61\/1010.\nAnswer: 8317350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + 4*l + 4. Let d be z(-4). Suppose 2*m = 6*m - d. Let r(q) = -q**2 + 5*q + 2. Let t be r(m). Solve -3 = -y - t*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-296)\/(-480) - 4*((-29)\/(-30) - 1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59 and 295.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -26830*l + 26833*l + 1, 0 = 2*t + l + 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*w = 324*w + 88 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoyo when four letters picked without replacement from {j: 4, o: 2, y: 8, e: 1}.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212110211 - 120?\nAnswer: -212111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5\/3 - 144*o**4 - 1748*o**3\/3 - 2632*o**2\/3 - 586*o - 440\/3.\nAnswer: 2*(o - 220)*(o + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (7 - 4) - -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/(-129)*(2\/(-6))\/((-2)\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 11 = -1. Let u(t) = 4*t. Let f(n) = n. Calculate s*f(b) - u(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -19 - 33 - 15\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 101665 - -4?\nAnswer: 102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*o**2*t + 3*o**2 - 826*o*t + 2*o + 2974866*t wrt o.\nAnswer: -18*o*t + 6*o - 826*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 61 + 59 + 216*u**2 - 120 - 217*u**2 - 2*u. Let r(f) = 6*f**2 - 1. Calculate r(b(n)).\nAnswer: 6*n**4 + 24*n**3 + 24*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5158 = -2*w, -37*t + 39*t - 4 = 0. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 486 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11\/4 - 4\/(-16)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 2 (c) -3\/7 (d) 17\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bd + 3e18?\nAnswer: 3ed6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1086707 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 90 in 1\/5, 2\/5, 15\/2?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 70*v - 130 + 130.\nAnswer: -3*v**2 + 70*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42515281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 4*v + 0*v + 208 - 59 - 68.\nAnswer: 4*v + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 3*a + 3. Let s(h) = 5*h**2 - 2*h + 4. Determine s(v) - 3*z(v).\nAnswer: 2*v**2 - 11*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 494*y + 13590 + 22966 = 0 for y.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2.7, 0.05, -1357?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-396)\/(-77) + 18\/21?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1592 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**3 - 940*f**2 - 935*f = 0. Calculate f.\nAnswer: -187, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1674 + 514 = 29*o for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -5*d**4\/4 + 2*d**3 + 39*d**2\/2 - 6*d + 7365. Let l(k) = 14*k**3 - 17*k**2 - 116*k + 17. Give 17*c(q) + 6*l(q).\nAnswer: -q**3 - 33*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174 + -176 + -23 + (-5 - -1).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-177)\/236)\/((-7)\/84). Solve 3*l + 46 = 2*o + 51, 0 = -5*l + 3*o + g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -12 (b) 2\/5 (c) -0.3 (d) -17 (e) 28 (f) 0.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 281392272 and -154088?\nAnswer: 281546360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126 - -509\/4. Let k = 0.2 - 0.5. Let s = -9 + 12. Sort s, z, k in ascending order.\nAnswer: k, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 - -51.43. Let t = 0.4300155 - k. Round t to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, -0.3, 5\/9, 4, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 9:55 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 11:42 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -26d?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = -12*g - 4. Suppose 2*k - 47 = 3*a, 2*a + 44 = g*k + 6*a. What is the remainder when 109 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667.6718 nanograms in grams?\nAnswer: 0.0000006676718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1 - (-3 + 3)) + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, a: 7, f: 1}. Give prob of picking 1 f and 1 a.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/138)\/(2\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1460 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 13. Solve 0 = -7*b + 3*b - d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + g + 3213, -q - 584 = 2*g + 64. Let s = -645 - q. Sort 1, -19, -4, s in increasing order.\nAnswer: -19, -4, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 n when four letters picked without replacement from {m: 3, n: 1, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q**2 - 34 + q + 6*q**2 - 200 + q.\nAnswer: -12*q**2 + 2*q - 234","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 - 2*s**2 - 2225*s + 2225*s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**2 + 10497678*h + 41990760 = 0. What is h?\nAnswer: -4, 3499230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*(u\/(u*u**9))\/u)\/u)*u)\/u**(-1))\/(u\/(u*u\/((u\/(u*u*u*u\/u**(3\/4)*u))\/u)*u)*u**(-1)) assuming u is positive.\nAnswer: u**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20169500207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5*b = 15, 5*x + 22*b = 21*b - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.94 (b) 4 (c) -0.4 (d) -0.3 (e) -2591 (f) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1694)\/42*(-8 - -2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1864 is divided by 265.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 5\/6, 138?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3144 + 11768 = 275*p + 180*p + 161*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -397?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 5. Let p = -3425 - -3427. Let u(k) = -k**2 - 3*k + 16. Give p*u(v) - 7*m(v).\nAnswer: -2*v**2 + v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 17. Is (5\/4)\/(p\/732) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 7*c**2 - 6*c + 4. Suppose -2*z + 2 + 10 = 0. Let l be u(z). Suppose -20 = -l*v, -5*h + 4*v + 65 = -v. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 v when four letters picked without replacement from mvmoomvoovoomovmm?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92)\/(-161) - (-28 + (-51588)\/(-1806)).\nAnswer: 2\/301","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 813517 times 2?\nAnswer: 1627034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0077 * 0.2.\nAnswer: 0.00154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -20*n**2. Let q be 0 - (-1 + -4 + 10 + -11). Let w be 1\/((2\/1)\/6). Let d(a) = q*a - 4*a - w*a - a. Calculate d(v(x)).\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2111110221120 - -11?\nAnswer: 2111110221201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 6 - 3 - 11894*r - 9 + 2 in the form s*r + f and give s.\nAnswer: -11894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 957, 3173, 7475, 14559, 25121, 39857, 59463?\nAnswer: 84635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -11*z**4\/9 - 79*z**3\/9 - 56*z**2\/3 - 116*z\/9 - 16\/9 = 0.\nAnswer: -4, -2, -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**2*h**2 + 882*d**2*h + 1032*d*h**2 + h**2 - 1 wrt d.\nAnswer: 6*h**2 + 1764*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -3\/5, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a47 (base 12) in base 11?\nAnswer: 21215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**3\/6 - 9*b**2\/2 - 495*b. Let o(w) = 2. What is -6*c(r) - 26*o(r)?\nAnswer: -6*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 40, 119, 514, 1.\nAnswer: 1, 2, 40, 119, 514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 0.949899.\nAnswer: 0.449899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 25228300*l**2 - 4. Let m(x) = -x. Calculate v(m(t)).\nAnswer: 25228300*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43670581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90919*f + 8 - 25 + 16.\nAnswer: -90919*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thh when three letters picked without replacement from thhthhthhthhhh?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - u + 2. Let g be z(1). Suppose 0*h = g*h - 2*t + 12, -4*h - 4*t + 16 = 0. Is 226\/(-4 - -2)*h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4737498 by 3.\nAnswer: 1579166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 equal to 1194\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*h**2 - 1 - 4 + 10*h**3 + 7*h**3 - 11*h**3 - 2*h**4 + 4 in the form s*h**2 + c + d*h + o*h**3 + g*h**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3158970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z - 1 + 45*z**3 - 73*z**3 - 2*z**3 to s*z + m*z**2 + g*z**3 + b and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/301 and -89\/1037246?\nAnswer: 1037246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -5) + (-13 + 22 - 13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1053) + 1)*1 + 3 + sqrt(1053) + (sqrt(1053) - (((-3*sqrt(1053) - sqrt(1053)) + sqrt(1053))*-2 + sqrt(1053) - sqrt(1053))))**2 + -5.\nAnswer: -360*sqrt(13) + 26336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77934.69ml to litres.\nAnswer: 77.93469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -15*o**3 + 3*o**2\/2 - 2*o - 26. What is the second derivative of d(h) wrt h?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -606*w - 5 + 630*w + 5.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50176 and 9457?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 618660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 1:54 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/33)\/i*((i*i**0)\/i)\/i*i*i*((i\/((i\/(i*i*i**(-2\/25))*i*i)\/i))\/i)\/i*i**(-3\/8))**(-6) assuming i is positive.\nAnswer: i**(9203\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**3\/3 + 3*j**2 + 4*j + 28. What is v(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 10:24 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -240.7 + 241. Sort 0, 6, w, -5 in increasing order.\nAnswer: -5, 0, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2786 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 311435 - 20243677\/65. Let u = g + 80\/13. What is the biggest value in u, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10834*a = -21688*a + 11539*a + 23975 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -904*g + 19. Let a(m) = -6*m - 3. Determine 6*a(n) + o(n).\nAnswer: -940*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.51 + 6.61. What is the second smallest value in k, -5, 1, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142416\/(-50439)*(-136)\/(-6).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4720 + 4751. What is the highest common divisor of s and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*b**2 + 61*b**5 - 116*b**5 - 4*b**2 + 59*b**5 wrt b?\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**5 + 36*o**2 + 28*o**4 - 64*o**3 + 4*o**3 + 8*o**5 - 15*o**5 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -5, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 2*m - 8. Let s(u) = u**3 + 8*u**2 - 2*u - 9. Let c be s(-8). Is o(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*s + 23. Suppose 0 = -4*b + 17 + s. Let y(m) = 10*m - 1. What is the remainder when y(3) is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -379 - -137. Let q = 244 + k. Solve 3*o - h = 2*o - 3, -o + q*h - 8 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1610 + 127. What are the prime factors of r?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88529.\nAnswer: 7, 12647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 6*d**4 + 136*d**3 + 578*d**2 - 2056*d + 616 = 0.\nAnswer: -14, -11, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.36819 (b) 2\/11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7452265 centuries?\nAnswer: 0.07452265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1359139 is divided by 14473?\nAnswer: 13150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -2, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 9:59 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {j: 1, y: 1, b: 1, o: 1, k: 1, f: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(204)\/(sqrt(12)*-4))**2.\nAnswer: 51\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + -5*sqrt(2299)*-2)**2 - (sqrt(2299) - (2*-1*sqrt(2299))**2)) + 0 - ((-1*sqrt(2299) + 2 - (6*sqrt(2299)*-2)**2) + -3).\nAnswer: 618432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26541744*a**2 + 15867157.\nAnswer: 53083488*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495409.\nAnswer: 79, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3 + 8*t - 13 + 5. What is the remainder when d(4) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 - 56*o**4 + 30*o**4 + o + 27*o**4 - 2*o**3 - 3 to t*o**2 + u*o**3 + a*o + c*o**4 + h and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 5*i + 3, 4493 = 4*q + 4*i + 4521 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhchccfjjhtjhcf. Give prob of picking 1 c, 1 t, and 1 j.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 i when three letters picked without replacement from {r: 1, w: 1, g: 2, i: 3, j: 7, p: 4}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 5. Let y be w(-6). Let n be (y - (-1 + -4505)) + (65 - 62). Let g = n - 2775. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4454*m - 7551*m - 606*m.\nAnswer: -12611*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1665, 1777, 2013, 2427, 3073, 4005?\n\"Answer: 9*i**3 + 8*i**2 + 25*i + 1623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = k + 23, 3*a - 3 = k + 4*a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/88*1760\/(-320).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1013973806 is divided by 872?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2989 and 0.0358.\nAnswer: 107.0062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 2242\/323) + (-8 - (-58658)\/7378)?\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -125586*b**4 + 125604*b**4 + b**3 - 7*b**2 - 2*b**3 in the form k*b**2 + u*b + h*b**3 + d*b**4 + z and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.0724*2\nAnswer: -2.1448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 39*m**2 + 4*m. Let d(p) = 2*p. Calculate s(d(l)).\nAnswer: 156*l**2 + 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 32.0007. Round z to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x. Let p(n) = -23*n. What is p(k(s))?\nAnswer: -138*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-140)*-4 + (-750111)\/(-168). Let q = k - 4475. Calculate the common denominator of -13\/14 and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12) + (749\/126 - 6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1 (b) 4 (c) -2\/11 (d) 9\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/(-2275))\/(-1*(-2)\/6*1044\/1740)\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, g: 4, y: 4, d: 3}. What is prob of sequence dyyr?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 29 + 517296\/336 - 46. Let a + 2\/7*g**2 + 292\/7*g = 0. Calculate g.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 15779932648224.\nAnswer: 15779932648224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q - 3*q + q)*(-2 + 0 + 3)*(-5 + 4 + 4) to p*q + m and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 4*v - 7. Let w be u(6). Suppose 5*f = 3*o + 4*f - 136, -175 = -4*o - w*f. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**5\/60 + c**4\/12 - c**3\/3 + c**2. Let t(v) = 3*v**2 - 9*v + 9. Let f = -79222 + 79220. Determine f*t(k) - 9*r(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-22))\/3*-2\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r. Let k(o) = -o**3 - 13*o**2 - 32*o - 21. Let l be k(-10). Determine j(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 113*t**6\/40 - 49*t**3\/6 + 116*t**2. Find the first derivative of r(w) wrt w.\nAnswer: 1017*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 3. Suppose 5*i + 2 = -3. Suppose 5*v = -9 + 4. Let z = i - v. What is u(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**4\/6 - a**3\/2 - 3*a**2\/2 - 14*a. Suppose 1 = 4*l - 11. What are the prime factors of p(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004 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: What is the hundreds digit of 5722812360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671516243 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -6*l + l - 5, -4*x + 10 = -2*l. Let i(f) = -2*f + 25. Let y be (-3 - 1 - -4)*1. Let j be i(y). Solve 2*h = -l*h - j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -722, -2204, -5090, -9848, -16946?\nAnswer: -26852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**3 - 1089*w**2 - 55683*w - 412. What is m(-82)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 2*k - 5*k + 28, 4*k = 40 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-585)\/(-11) - (-2)\/(-11). Let z = v + -32. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -251128616 rounded to the nearest one hundred thousand?\nAnswer: -251100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**6)\/s)**(4\/19)\/(s\/s**4*s)**(-28))**35 assuming s is positive.\nAnswer: s**(-36400\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -5*n**8\/336 + 11*n**7\/42 - 17*n**6\/12 - 2*n**5\/3 + 100*n**4\/3 - 320*n**3\/3 - 5*n**2 - 16. Factor b(f).\nAnswer: -5*(f - 4)**3*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*o = -2806 - 106 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(126\/24))\/((-24)\/3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2. Suppose 0 = p - 2 - 5. Suppose -1 = -2*v + p. Let h(a) = v*a - 4*a - 2*a. Give h(i(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1403?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*p + 20, 0 = 4*p - 3*z - 0 - 19. Let q = -17 + 37. What is the remainder when q is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1175088616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 9*l**2 + 36*l. Let u be m(-12). Suppose u = 4*i - 33946 - 25362. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11599898 + 5690898. What is n rounded to the nearest one hundred thousand?\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74458364 a multiple of 1503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + -33. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 2)\/(18\/1230) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzwiiwlziwwwlwlrzgil. Give prob of sequence lg.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18461556 is divided by 2731?\nAnswer: 2727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a gram in milligrams?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*t - 3, -5*t = 14*a - 17*a - 23. Let u be 2 - 9*(-1)\/a. Determine d so that 9\/4*d**2 + 1\/4*d**4 - 5\/4*d**3 - 7\/4*d + u = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzaaa. What is prob of picking 1 z and 1 a?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3))**(-1\/14)*i\/((i*i*i*i\/(i\/(i**3*i*i*i))*i)\/i)*i**(-1\/6))\/((i**(1\/3)\/(i**(-3\/7)*i))\/(i**1)**(-6\/17)) assuming i is positive.\nAnswer: i**(-5947\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*j = -13 - 5, 4*o - 4*j - 16 = 0. Let t be 2 - ((-78)\/(-21))\/o. What is the second smallest value in -3, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + l - l)*(3*l**3 - 3*l**3 + l**3) + 24*l**3 + 10*l**4 - 11*l**4 - 36*l**3 as q + z*l**2 + r*l**3 + v*l**4 + g*l and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.46 - 125.46. Let l = -85.8 - q. Let s = 17 - l. Round s to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -595*j - 43. Let m(o) = -594*o - 54. What is 5*i(w) - 4*m(w)?\nAnswer: -599*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -932 (base 16) to base 5\nAnswer: -33404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3 - 1)\/(-4))\/(-34 + 35). What is the third biggest value in -12, -3, u?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27513224639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2980)\/894)\/(5\/(-12297)) is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + (-18)\/(-15))\/(-2 + 4). Sort -4\/5, -0.4, 1, d in decreasing order.\nAnswer: 1, -0.4, -4\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101000100001000010 (base 2) in base 5?\nAnswer: 102144343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 17 = 3*c, 3*c = 831*w - 833*w + 19 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(209)\/sqrt(176).\nAnswer: sqrt(19)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - 2) + 928 + -921.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2905 - 2904.9999980752. Round g to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-3 - -5) - (-8 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90.735 + -29.777. Let o = g - 61. What is o rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f**5 - 81701528*f**4 - 40850721*f**3 + 199147438*f**2 - 86807863*f + 10212690 = 0.\nAnswer: -5106345, -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 42*n**2 + 398*n - 51. Calculate y(-50).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**3*p*r**2 + 23314*o**3*p*r + 3*o**3*p + 28*o**2*p*r**2 - 58*o**2*r**2 - o*p*r**2 - 15*p*r**2 - r + 1 wrt o.\nAnswer: 12*p*r**2 + 139884*p*r + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/20)\/(11\/55). Is (-26 + 2)\/l - -2825 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -838 + 1248. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from {h: 2, u: 1, b: 2, n: 3, p: 1, w: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 - 74. Suppose 3*j - 6 = j. Suppose -j*s = -7 + 1. Is s >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757813023 a multiple of 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/200 and 3\/9875?\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + sqrt(7)*5)**2 - (-2 + -1 + sqrt(7) + sqrt(7) + sqrt(7) + -4*(-1 + sqrt(7)))**2.\nAnswer: -8*sqrt(7) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/14 + 2)*1211. Suppose -w + 138 = -9*d. Suppose 32*f - 27*f - d = 0. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5607?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*a**3 + 2 + 92*a**4 + 5*a**3 - 5*a**3 with respect to a.\nAnswer: 368*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7103 + -21311\/3. Which is the second biggest value? (a) -174 (b) -5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(4\/(-14))\/((-37)\/(-259))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 996.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 5:31 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**2. Let n(b) = 2*b**2 - 15. Calculate n(l(d)).\nAnswer: 18*d**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkakskksksakkk. Give prob of picking 3 k and 1 a.\nAnswer: 143\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b - 3 - 3*b - 7*b. Let r be p(-3). Let i(w) = w**3 - 4*w**2 - 4*w - 3. Let k be i(5). Solve 4*c - o + r = c, c + o = -k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.421254us?\nAnswer: 0.000421254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2770024.\nAnswer: 2, 181, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -11. Let k = -14 - m. Suppose 0 = -k*a - y + 51, -y + 27 = a - 2*y. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -479*u**2\/8 - 5223*u\/8 - 593 = 0.\nAnswer: -4744\/479, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -4 (c) 2\/3 (d) 6 (e) -0.78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - z - 1. Suppose b = -0*b - 3*d - 14, 0 = -b + 3*d + 10. Let u be l(b). Solve 0 = -u*f + 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 13*s. Let a(u) = 22*u. Let z(b) = 3*a(b) - 5*o(b). Let f(j) = 16*j - 1. What is f(z(h))?\nAnswer: 16*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j - 42*j = -5*m + 13, -3*m - 5*j + 30 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2*v**2 + 4*m**2 - 140*m*v**2 - 168*m*v - 47487*m - 1 wrt v.\nAnswer: -2*m**2*v - 280*m*v - 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135603848?\nAnswer: 2, 109, 155509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Let g be s\/(1*(-6)\/(-4)). Solve -16 = 3*u - 0*u + 2*i, 0 = -2*u - g*i - 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76604 divided by -19151.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8*d = 3*d + 208, a - 110 = -4*d. Suppose t = 3*t - a. Suppose -v + 25 + t = 0. Calculate the greatest common divisor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 19, 5, -13\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.064.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 5*f + 4. Let l be s(5). Suppose 5*h - 17 = l*h. What is the remainder when 67 is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 99434?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 2da?\nAnswer: -2e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/9)*g)\/g)**34*(g\/(g*g**(-1\/4)))**(6\/7) assuming g is positive.\nAnswer: g**(979\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1188690, -1188410, -1187940, -1187274, -1186406?\n\"Answer: i**3 + 89*i**2 + 6*i - 1188786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552342240 (base 6) in base 2?\nAnswer: 100101110101111001110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -794d9b + 5?\nAnswer: -794d96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1.2. Let f = -24 - -25. Sort 2\/9, f, t in increasing order.\nAnswer: t, 2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*y**3 - 76*y**3 + 95*y**3 + 62*y**3.\nAnswer: 145*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70687, -70625, -70559, -70489, -70415, -70337?\nAnswer: -70255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1484 + -1482. Let w = 12 - 6. Suppose 0 = -4*f - 5*r + 83, -p*f + 37 = r - w. Calculate the remainder when f is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1141195 + 19*q - 1141195.\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149*y**5 - 210*y wrt y.\nAnswer: -2980*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 471*o - 460*o - 3 + 4*o + 0*o - 5*o + 0 + 2*o + 0 + (o - 2*o + 2*o)*(3 + 2 - 4) + 22 + 11*o - 22 as d*o + u and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -20. Let v = -2 - q. Let d = -13 + v. Which is the closest to 1? (a) -1 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 2. Let l(i) = i**2 + 1. Let z(a) = -l(a) - t(a). Let h(k) = 3*k - 3. Let r(x) = h(x) + 3*z(x). Let y(m) = -3*m. Determine r(y(n)).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17059?\nAnswer: 7, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**6\/720 - i**5\/12 - i**4 + i + 7. Let q(o) be the third derivative of x(o). Calculate q(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = 276. Let u(l) = -l**3 - 18*l**2 + 9*l + 66. Let p be u(-18). Let b = r - p. Is -38 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/4*v**2 + 1\/4*v**3 + 5\/4 - 1\/4*v = 0. What is v?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 2 - 520*o**4 - 54*o**4 + 233*o**4 to z*o + a*o**4 + x*o**3 + h + r*o**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 0*x + 6 + 0*x + x. Let h = -9 - -17. Is f(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -566.1 - -566. Which is greater: 8.4 or v?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((((-3900)\/575)\/39)\/(-4))\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (0 + -2*2\/(-4)). Suppose 744 = -8*y + x*y. Let b = -47 - y. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66315 + 0*g**2 + 66314 + 1836*g + 3*g**2 to the form k*g + f + l*g**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 4, 17\/24, -2\/17, -0.4?\nAnswer: 17\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.023 + -0.023. Put 4, y, 2 in decreasing order.\nAnswer: 4, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 979.1? (a) -0.4 (b) -26 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 9*b**3 - 24*b**2 - 11*b - 8. Let w(u) = -3*u**3 + 8*u**2 + 4*u + 3. What is 4*h(p) + 11*w(p)?\nAnswer: 3*p**3 - 8*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -4542216598991.\nAnswer: -4542216599009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(165\/2398))\/((-5)\/150*-12).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 39, 141, 335, 651, 1119?\nAnswer: 1769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 6. Suppose 17*v - 23*v = -36. Give u(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 73 + 90 - 9 - 288*y + 18 - 12 wrt y?\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(40)\/sqrt(4))\/(sqrt(320)*-2) + (sqrt(14)\/sqrt(63) + sqrt(504)\/sqrt(7))**2.\nAnswer: 5*sqrt(2)\/16 + 722\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 - -85. Let a be 5 - 3 - -14*3. Suppose -l = -5*d - 27, -5*d - a = -l - l. What is the greatest common factor of l and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.091913 + 0.092. What is x rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 386, 586, 784, 980, 1174, 1366?\nAnswer: 1556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q - 6. Suppose -24*s = -9*s - 105. Let k(g) = 5*g - 13. Determine s*j(w) - 3*k(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 5*h**2 + 3*h - 19. Let q be x(-6). Let o be 1\/(-7) + (-2)\/(-7). Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1454 + 1456. Solve 4*n = -b + 15, 3*n + b - 13 = -j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11064166 or -11064182?\nAnswer: -11064166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 6*h**2 - 9*h + 65. Determine o(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117.06812 + -0.06812. Which is bigger: c or 0.7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00496085507 rounded to 5 dps?\nAnswer: -0.00496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**6\/225 - h**5\/150 + h**4\/90 + h**3\/45 + 5*h - 5. Let j(t) be the first derivative of o(t). Factor j(m).\nAnswer: -2*m*(m - 1)*(m + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - f = -2, 0 = -94*x + 90*x + f - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 63 = -3*n + 4*d, -d = -2*n - 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158 + 1062. What are the prime factors of b?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 220 + -76. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 5, -7, -2.\nAnswer: -7, -5, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*(-2823 + 2815)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160321230 to the power of 1\/2, to the nearest integer?\nAnswer: 34063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17127, 0, -7, 0.4 in increasing order.\nAnswer: -7, 0, 0.4, 17127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1803.6858 and 5?\nAnswer: 1808.6858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12525 + -12526.6. Which is the smallest value? (a) 3 (b) g (c) 1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 3:50 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -332, -449, -566, -683?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*j + 62 = -j, 0 = -2*v + 3*j - 76. Let h be v\/21*-3 - -1. Solve -8*x + 6*x = -h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -15.9, -10, 0.2, 2 in decreasing order.\nAnswer: 2, 0.2, -2, -10, -15.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10017542 and 1570?\nAnswer: 50087710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2169565393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 12*i**2. Let w be s(-1). Let t = 14 - 15. Let c = w - t. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -y + 5*g - 99, 2*y - 2*g - 64 = 0. Suppose -y*z - 3*i = -33*z - 748, -561 = -3*z - 4*i. Is 74 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1653 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -39, -36, 24, -1, 3 in decreasing order.\nAnswer: 24, 3, -1, -2, -36, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1715244?\nAnswer: 2, 3, 19, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -15*q - 699. Let z be s(-47). Suppose 5*d - 156 = 2*d. Let c be 4318\/z + -4 + d\/12. Round c to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-26)*((-56)\/(-7))\/8?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h. Suppose -2*v + 2 = 5*w + 1, -4*w - 4 = 0. Let d be f(v). Suppose -2*q + d = 0, -5*t + 88 + 47 = -5*q. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (6 - 2) + (-5 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-86)\/(-258))\/(7\/1470*2))\/(1\/1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 23.83744g?\nAnswer: 23837.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 765273 or 765267?\nAnswer: 765273","meta":{"dup_signals":{},"source":"comparison__pair_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: What is prob of picking 1 g and 2 q when three letters picked without replacement from {d: 1, g: 4, b: 1, q: 3, f: 4}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*o - l - 5, 0 = -l + 4. Let s be 3 + -1 + o + 3. Suppose -s*n + 66 = -26. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03768 from 842909680.\nAnswer: 842909679.96232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/3773 - -1324311\/15092. Let q = c + -87. Let o = 0.38 - 0.08. Put q, o, -2\/19 in ascending order.\nAnswer: -2\/19, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 35 + 381c?\nAnswer: 3853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x + 3 - 1 - 1884*x**2 - 4034*x**2.\nAnswer: -5918*x**2 - 10*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1150*a**3 - 2293*a**3 + 1142*a**3 - 7 - 3*a**2. What is u(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41a0 (base 11) to base 12\nAnswer: 326b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/394 and -91\/1600724.\nAnswer: 315342628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365581.6ug to kilograms.\nAnswer: 0.0003655816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -96 + 62. Suppose -176 = -4*m + 60. Let y = m + n. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 6, a: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34415779 is divided by 747?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14878373 to the power of 1\/2, to the nearest integer?\nAnswer: 3857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -688*p**2*x**3 + 6*p**2*x + 59*p*x**3 - 2*p*x**2 - 25*x**3 wrt p?\nAnswer: -1376*x**3 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -24 + 38 - ((-3 - 16) + 10).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/160 and -109\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2403235837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 798 and 120.\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 5. Suppose -7*i - 36 + 71 = 0. Suppose q = -i*w + 31. What is the remainder when w is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433563 is divided by 797.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 337949771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184183 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**4 - 20*t**3 - 60*t**2 + 20*t + 56 = 0?\nAnswer: -2, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 1. Let w be 22\/(-10) + 4\/20. Let c be b(w). Do 0 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 - 170\/6. Let f = -48 - -90. Let n = j + f. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -554 in 2\/7, -2, 118?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/10 - (-2)\/5. Let k(g) = -5*g + 4. Let i(c) = 6*c - 5. Let l(f) = x*i(f) + 5*k(f). Let a(y) = 150 - 150 + y**2. Determine l(a(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5873460861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -194?\nAnswer: 11\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899390629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 26*p**2 - 10*p - 21. Is g(20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*h - 3*h - 2 + 2 + (0 + 0 - h)*(3 - 4 + 2) + (4*h - 28 + 28)*(-1 + 3 - 4).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -114 + 179. Let q = t + -58. Which is the closest to -2\/9? (a) q (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37673 or -37672?\nAnswer: -37672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -4 (c) 0.6 (d) -1\/267 (e) 5 (f) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112415 is divided by 5990.\nAnswer: 4595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 57990.\nAnswer: 405930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -76, -305, -706, -1297, -2096, -3121, -4390?\n\"Answer: -3*p**3 - 68*p**2 - 4*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j - j**2 + 3*j + 2*j in the form n*j + k + d*j**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**3 + 2*f**2 + 2*f. Let v(s) = -18*s**3 - s**2 - 14*s - 8. Let d(a) = a**3 - a**2 + 2*a + 2. Let o(j) = 4*d(j) + v(j). Determine -8*g(c) - 3*o(c).\nAnswer: 2*c**3 - c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d - 4 + 2 - 6*d - 8*d. Let g(i) = -4*i - 1. Determine 8*g(w) - 3*n(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**5\/8 + 5*d**4 + 371*d**3\/8 + 309*d**2\/4 + 36*d = 0.\nAnswer: -6, -1, 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 22 = 5*b, 6*m - 2*m = 2*b + 20. Sort b, -1, 2 in descending order.\nAnswer: 2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 123*v - 28. Determine i(-2).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.876988108 rounded to three decimal places?\nAnswer: 0.877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 230202 to the power of 1\/2, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 4*s + 2. Let x be h(4). Solve 5*m + 5*y + 40 = 0, x*m - 4*y - y = 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2. Let s = 10 + -8. Let b(j) = 7 - s + j - 5. Calculate u(b(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113740 - 13509. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36270, -36268, -36264, -36258, -36250?\n\"Answer: d**2 - d - 36270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5 + 18*o - 10*o - 10 - 11*o. Let i be c(-3). Let n(x) be the first derivative of -x**2\/2 - 6*x - 1. Determine n(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(40)\/(sqrt(8) + sqrt(32)\/sqrt(4)) + sqrt(5) - (sqrt(25)*1)\/sqrt(5))*1)**2.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) -0.7 (c) 91 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49? (a) -0.4 (b) 1.1 (c) 0.2 (d) 3\/5 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.42 - -0.07. Let z = 5.42 - 5.57. Let w = n - z. Put 3, 2\/9, -2, w in descending order.\nAnswer: 3, 2\/9, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h. Let o(w) = 3 - 3 + 11*w - 5*w. Determine b(o(k)).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o + 1. Let r(v) = 9*v - 2. Suppose -65*y - 4 = -62*y - 2*g, 14 = 2*y + 2*g. Give y*r(b) + 5*z(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 + 23*v**2 - 1528*v - 22143. Give y(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 81653.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**5*l)*l*l**(-1\/6)*l)\/(l**(-7)*l*l**7) assuming l is positive.\nAnswer: l**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + -9)*(-3)\/2. Let g be i\/27 - (-2)\/9. Solve -p = -2*p + g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i + 288. Let p(l) = -3*l + 143. Let x(n) = 7*p(n) - 4*q(n). Calculate the remainder when 215 is divided by x(-29).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -213 + 7?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 747.7201m?\nAnswer: 747720.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**17*v**(-3\/7))\/(v**(2\/19)\/(v*v**7*v)) assuming v is positive.\nAnswer: v**(-1002\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -268.9 and -206.\nAnswer: 55393.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 1)*(3*r**3 + 66*r - 66*r + 2*r**5) - 4*r**5 - 3*r**5 - r**5.\nAnswer: -14*r**5 - 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 753 = 12. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*a*b**2 + 2*a*b*w + 3*a*b - 106*b**2*w + b**2 + 236*b*w wrt b.\nAnswer: -12*a - 212*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-63)\/36*-14)\/((-1)\/(-2)) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23600\/1121 + -7 + -14.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 31*v + 2. Let k be c(6). Suppose -4*l - k = -5*b, 5*b + l - 164 - 39 = 0. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p*u**2 + 3*p*u + 10256852*p + 2079*u**4 wrt u.\nAnswer: 2*p*u + 3*p + 8316*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 194*o**2 - 20*o - 7. Is w(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004029.\nAnswer: 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + 0*n**2 - 22338 + 22447 + n**2 + (-3 + 2 - 1)*(1 + 1 + 2)*(-4 + 4 + 2*n**2) as l*n + p + u*n**2 and give p.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2)*(-2 + 2 - f**4) + 4882*f**4 + 224216*f - 224216*f in the form c*f**4 + t*f**2 + k*f**3 + w + y*f and give c.\nAnswer: 4884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 559 = -3*v - 212, 2252 = -342*h + 344*h + 20*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8276 or 8277?\nAnswer: 8276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 + (0 - 1))\/(-1). Suppose i = -5*g, h + 0*g = -4*g + 10. Let x = 15 - 7. Calculate the least common multiple of h and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*u**4 + 2*u**3 - 25752*u**2 + 2*u - 4087775 with respect to u.\nAnswer: 12*u**3 + 6*u**2 - 51504*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3131220120 - -22313?\nAnswer: -3131131201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b + 24 = 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 11*o**2 - 376*o + 59. Let s be i(34). Let x(m) = -3*m**3 + 15*m**2 + 9. Let b(d) = d**3 - 7*d**2 - 4. Calculate s*b(t) - 4*x(t).\nAnswer: 3*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/50? (a) 4 (b) -1\/4 (c) 0.242 (d) -7 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 9 - 5 = -q, 22 = q - 5*k. Solve -6 = q*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 946225110 rounded to the nearest 100000?\nAnswer: 946200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*k**2\/4 - 21*k\/4 + 9\/2.\nAnswer: -3*(k + 3)*(3*k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -16*a**2 - 6*a. Let d(n) = -2*n. Give d(p(t)).\nAnswer: 32*t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1793\/(-23) - (2 + 0)) + (-49358)\/1135234.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*c - 581*c - 199*c in the form z + t*c and give t.\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*d = -0*t + 38, 141 = 3*t - 3*d. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, x: 3}. What is prob of sequence aax?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 936 and 2340?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -1648?\nAnswer: -1644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*a - 2*a + 1019, -1018 = -3*u - 4*a. Calculate the common denominator of 21\/16 and -3 - (4\/8 - u\/72).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2273, 4547, 6819, 9089, 11357, 13623, 15887?\nAnswer: 18149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 11.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**4\/12 - 5*k**3\/6 + 9*k**2\/2 + 2*k. Let p be g(10). Let z = p - 37. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3612 and 3486378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -175313*b + 87658*b + 87654*b + 83 - 83. Let v(c) = 107*c**2 - 43*c**2 + 67*c**2. What is v(z(k))?\nAnswer: 131*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 25 = -69. Solve 16 + 0 = -t*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5746 (base 9) to base 4\nAnswer: 1002132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 335889 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(-25))**(-24) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74509 is divided by 10528.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 5176735?\nAnswer: 2588367.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 2. What is the greatest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -2\/19 (c) 11 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -157 - -162. Let f be -3*(2\/(-3))\/1. Suppose 2*a - 34 = 3*y, 6*a - f*a - y - 68 = 0. What is the remainder when a is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 + -2.92. Sort -1\/3, 1\/2, w in descending order.\nAnswer: 1\/2, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 9:22 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -459060 by 91812.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6385*c + 2. Let s(x) = 142551513*x + 44653. What is 6*s(u) - 133959*y(u)?\nAnswer: -19137*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000171884941 to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/42)\/(16\/(-72)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.2 - 6.4. Put -6, n, -2\/7, 6 in descending order.\nAnswer: 6, n, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001054982 rounded to six dps?\nAnswer: -0.001055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = -9*d - 1302. What are the prime factors of d?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i*t**3*y**3 - 62*i*t**2*y**2 - 194*t**3*y**4 + t**3*y**2 wrt y.\nAnswer: -24*i*t**3 - 4656*t**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08041 + 0.48041. Let r be -1*(0 + 1 + -1). What is the nearest to r in q, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/7)\/((-2)\/(-7))*(-148)\/(-777). What is the closest to y in -21, -0.2, 3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 41\/2 of a meter?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1001*i - 324. Is v(-25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33170360 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + (8 - 5) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5792*p - 5821*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 1:20 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7153981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -34561328837.7?\nAnswer: 34561328834.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1.1, -2\/9 in decreasing order.\nAnswer: 1, -2\/9, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h*h\/(h*h**(-3)))\/h)\/h*h)**(-5\/6)\/((h**(4\/7)\/h*h)\/h**(-4)))**(-1\/49) assuming h is positive.\nAnswer: h**(166\/1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*j + 27, -4*a + 6 = -7*a - 5*j. Suppose 12 = 4*y + f, -a*f = -y - 2*f + 3. Suppose 5*u - 20 = 0, y*u + 5763 = 5*g + 5*u. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6231.564 centimeters?\nAnswer: 62315.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 8*q**2 - 17*q + 56. Calculate the remainder when 43 is divided by v(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34 - 16*y - 83 - 12 - 39 + 20*y + 7348*y**2 wrt y?\nAnswer: 14696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 - (2 + -2 - -1). Are -13 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/10*270\/(-81). Let v(i) = 166*i - 159. What are the prime factors of v(n)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 3*q + 36 = 0, 4*q = -1696*f + 1701*f - 38 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27)\/(-6)*(-4)\/(-6). Suppose -x - 14 = -m*x. Solve 2*w - 5 = x*w, -2*z - 3*w = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 8*z**2 + 9*z - 10. Let n be i(7). Suppose -69 = -n*j + 19. Suppose 0 = -w + 3*w - j. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22785329.00051 + -22785237. Let p = -0.6 - 91.4. Let i = p + h. What is i rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2 - 796343*p + 1592682 = 0 for p.\nAnswer: 2, 796341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -212*w**3*y**2 - 2*w**3*y + 32*w**2*y**3 - 5*w**2 + 424*w*y + y**2 wrt y.\nAnswer: -424*w**3 + 192*w**2*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a day in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 46 = 90. Let p = 328099 + -328038. What is the remainder when p is divided by s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 2\/7, -4.2, 5\/2, -146?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)\/r)\/(r*r**(-2\/99)) assuming r is positive.\nAnswer: r**(-790\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 greater than or equal to 0.00824839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 5*q**4\/12 + 19*q**2. Let d(b) = -2*b. Calculate j(d(u)).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -i, -5*i = -2*u - 8*i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43552.958244 + 43470.958. Let p = q - -82. What is p rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + -87*7\/84. Sort 13, p, -5\/4 in descending order.\nAnswer: 13, p, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1950 = -2*x, 1542 = -6*k + 10*k - 2*x. Let y = k - 335. What is the remainder when 113 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 25 = -s, -3*s + b + 64 = 4. What is the third derivative of -19 + 5*d**3 + 4*d**2 + 3*d**3 + s wrt d?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2628*a + 2 + 2630*a - 3*a**2 + 0*a**3 + a**3. Suppose -3*b - 2 = -2*l, -5*l - 5 = -4*b - 17. Let i be k(b). Solve -i*z - 12 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 2057.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2. Let b = 39 + -65. Let p = -23 - b. Let l(o) = 6*o + o**2 - 6*o - p*o**2. Calculate h(l(u)).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a**2 + 189 - 189 + (-4*a + a + a)*(-5*a + 4*a + 3*a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5901150601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 460.1549km to nanometers.\nAnswer: 460154900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1322*c**2 + 7*c + 16. What is the thousands digit of l(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**3\/5 - 2*v**2 + 226*v\/5 + 234\/5 = 0.\nAnswer: -13, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3334790 divided by 10?\nAnswer: 333479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Let l = -13\/10 + 4\/5. Which is the nearest to l? (a) -0.1 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29f2 - -3195?\nAnswer: 7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -209*b + 49*b + 372 - 81*b**2 + 47*b + 45*b + 53*b wrt b.\nAnswer: -162*b - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2862000 divided by 715500?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 282922, 0.5 in descending order.\nAnswer: 282922, 0.5, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/4)\/((f**(-2)\/f)\/f))\/((f*(f*(f*f**7)\/f)\/f*f)\/f**5) assuming f is positive.\nAnswer: f**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (sqrt(153) + sqrt(153) + sqrt(153)*1*2)) + sqrt(153))\/(-3*sqrt(18)\/sqrt(2)).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -5*w + 2*s + 48, -5*w - 4*s + 112 = 0. What is the highest common factor of 150 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6\/4)\/(10 + (-15748)\/1576) is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -236 or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlllnlllllllnllllnll. Give prob of picking 1 l and 2 n.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-five quarters of a microsecond?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**(-16)\/q)*q**14*((q**(-5)*q)\/q)**(-6) assuming q is positive.\nAnswer: q**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 y, and 1 m when four letters picked without replacement from {z: 2, y: 2, v: 1, o: 1, m: 1, w: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27a9 (base 14) in base 4?\nAnswer: 1231201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006 is divided by 109.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -64, -96, -128, -160, -192?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.827296 millennia in centuries?\nAnswer: 28.27296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3395022.90740964 - -503926.892591. Let r = q + -3898951. Let m = 1.2 + r. Round m to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 311*b - 800. Determine d(-158).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qddx when four letters picked without replacement from {x: 3, d: 2, g: 2, q: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12669*b**3 + 6069*b**3 + 5992*b**3 + 64*b - 64*b.\nAnswer: -608*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b3 + 3?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2729, -2748, -2767, -2786, -2805, -2824?\n\"Answer: -19*x - 2710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -55. Suppose -11*v = -15*v + c. Solve -21 = -4*h + 3*m + 7, -v*m = 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/17, 2, 0, -255?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568345 is divided by 177.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0.42, -360, 4, 1\/5, -2.\nAnswer: -360, -2, 1\/6, 1\/5, 0.42, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-12)\/8 - 0. Suppose -31 = -5*b + o*z, -b - 2 = -3*b - 4*z. Suppose -2*t + 52 = b*i, 2*i + 2*i = -t + 32. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3 - 15*j**2 + 72*j - 76 = 0.\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**3 + 2*d - 14. Let x be p(5). Suppose -40*r = -47*r - x. Which is the nearest to -1\/4? (a) 1 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -903.17416 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 201?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*x + 3. Let s be 21\/(-15) + (-2)\/(-5). Is x - ((-3)\/s - 67) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*m + 28*m + 1249 = 109 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12644*o**4 - 7660*o**2.\nAnswer: -303456*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*q + 72\/7*q**2 + 128\/7 - 10\/7*q**3.\nAnswer: -2*(q - 2)**2*(5*q - 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 3:47 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -225*p**2 - 2*p. Let g(s) = -676*s**2 - 7*s. Give 4*g(m) - 14*h(m).\nAnswer: 446*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449*i - 156 = 461*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4490484 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.7 + -13.3. Sort -0.2, w, 3 in decreasing order.\nAnswer: 3, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 21.193.\nAnswer: -21.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-140))\/((126\/(-60))\/(-21)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/(3\/(-18))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25886805, 25886816, 25886829, 25886844, 25886861?\nAnswer: 25886880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4895, -4898, -4901, -4904?\n\"Answer: -3*t - 4892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 5*w = -34. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/2127334 and 59\/4.\nAnswer: 4254668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is abc34 - 36?\nAnswer: abbdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133103 (base 5) to base 8.\nAnswer: 12433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*w**3 - 75*w - 35*w - 131*w**3 - w.\nAnswer: w**3 - 111*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 18, b: 1}. What is prob of picking 1 b and 1 d?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 934 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51*u**2 + u**3 + 114 - 46*u**2 + 39*u**2 with respect to u.\nAnswer: 3*u**2 + 88*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s + 5*s**3 - 3*s**3 - 41*s**4 + 39*s**4 to the form n*s + p + z*s**2 + u*s**4 + h*s**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -199*i**2 + 18*i**2 - 18*i**2 - 5*i**2 to a*i + m*i**2 + r and give m.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -11*s**2. Let m(h) = -11*h + 16. Let r(n) = 361*n - 532. Let c(j) = 133*m(j) + 4*r(j). Determine y(c(i)).\nAnswer: -3971*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 5618?\nAnswer: -9\/5618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 730*n.\nAnswer: -5*n*(n - 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - 28. Suppose -3*c = -n - 36. Suppose 3*f = t + 35, -5*f + 3*t + 55 = 2*t. What is the highest common divisor of c and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 37 + 724958*y.\nAnswer: 724958*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7592 = -r + 6*d - 3*d, 2*d = -4*r + 30410. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -678 + 458. Let y = h - -31. Let t = y - -334. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 1, o: 1, b: 3, y: 1}. Give prob of picking 1 b and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, 128, -4, 2\/19, -0.1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 176831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2.3, -1, 3, 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.06338 rounded to the nearest integer?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2810 + 1931. Is (4*n\/30)\/(4\/(-10)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 9*u - 12. Let a(k) = -5*k - 55. Let r be a(-9). Determine z(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/9579, -4, 0.4681, 2, -0.5, 3\/8?\nAnswer: 0.4681","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -498, 9, -1, -5.\nAnswer: -498, -5, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7833 + 7837. What is the nearest to 1 in -1\/9, 0.44, 0, v?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7865, 31708, 71487, 127202, 198853, 286440, 389963?\n\"Answer: 7968*z**2 - 61*z - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 5*h**3\/3 - 2*h**2 + 10*h + 149. Let r(p) = -4*p**2 + 5*p - 10. Let k(q) = -3*g(q) - 4*r(q). Give k(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-12)*(-104)\/273.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 39. Let w(g) = -61 - 3*g + 4*g + 80. Is 2 a factor of w(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 8737768.\nAnswer: 17475536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4.1. Let c = -0.03 - -3.03. Let q = 0 - c. Is q less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2875324357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -425*v**4\/4 - 8*v**2 - 6*v + 490. Find the second derivative of o(g) wrt g.\nAnswer: -2550*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.52 take away 162?\nAnswer: -156.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21328 divided by -3?\nAnswer: -21328\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 18526777 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 - 2*w**2 + w - 2. Suppose 4*l - 8 = 4*g, -g - 2*l + 1 = 3. Calculate s(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9819341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 15670*u + 2601206. Determine q(-166).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150, -151, -152?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/117*(-1 + -2). Let f be 9\/2 - 4\/(-8). Suppose f*z + 3*x = -0*x - 28, -z + 2*x - 3 = 0. What is the nearest to 2\/7 in z, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/3)\/c)\/c)**(1\/15))**(-5) assuming c is positive.\nAnswer: c**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 27*o - 25*o + 21004 = 0, 3*o - 12 = 0. What are the prime factors of r?\nAnswer: 2, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31262 divided by 1078\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 + -534?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**3 + 64*v**2 - 43*v - 240. Calculate a(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 - 4*q - 5. Suppose -2*d + 5*h = -3*d + 11, 24 = -3*d + 4*h. What are the prime factors of i(d)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 2*p + 3. Suppose -4*c + w + 3 = -11, -2*c = 5*w - 18. Suppose q + 8 = c*f - 4*q, 0 = -q. Let j be x(f). Solve 2 = t - j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 276 - 99. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a factor of 52015625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -1010320222?\nAnswer: 1010320213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 3. Let y(o) = o + 1. Let p be (-172)\/(-215)*5\/2. What is p*y(m) - v(m)?\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 4 - 2*c + 1\/6*c**4 + 1\/3*c**3 - 2*c**2. Let s(w) be the first derivative of j(w). Determine z so that s(z) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 1 + 15 = j, -2*g - 691*j + 672 + 2090 = -0*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192091?\nAnswer: 192091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -45?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/1134 and 17\/693.\nAnswer: 12474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -343, -682, -1021, -1360, -1699?\n\"Answer: -339*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149 - -92 - 298 - (0 + (0 - 0) + -12).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**5)**(-12)*(k**(-1))**(-10) assuming k is positive.\nAnswer: k**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjytjjjyyrjyjj. What is prob of picking 1 j, 1 r, and 2 y?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 16*y**2 + 72*y + 4. Calculate the remainder when 262 is divided by s(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = -15*x. Suppose -4 = -j - x*n - 2*n, -25 = -4*j - 5*n. Calculate the remainder when 26 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 11. Let l be y(8). Let c be 32\/12*l\/(-10). Factor 2\/5*i**5 + 0*i**3 - 2\/5*i + 0 - c*i**4 + 4\/5*i**2.\nAnswer: 2*i*(i - 1)**3*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12078739 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -134 - (-1)\/(-9)*-3*-3. Let v = r - -138. Solve 9*t + 20 = v*f + 4*t, -3*f = 4*t - 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 92, 252, 556, 1052, 1788, 2812?\nAnswer: 4172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*u + 122*u - 77*u)*(-1 + 2 - 3 - 4*u**3).\nAnswer: 140*u**4 + 70*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Suppose -20 - 10 = 3*g. Let t = g + 12. Solve -b + t*b = -p + 3, -h*b - p + 3 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93.643 - -0.657. Which is greater: y or -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuq when three letters picked without replacement from yiqiquuiyqqqq?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f. Let q(d) = d**3 + 28*d**2 - 4*d - 109. Let m be q(-28). Determine o(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2115.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 47*b + 45, -1048*v - 3*b = -1045*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 45 = -2*m - 28, -2*m - 61 = 3*i. Let p = m + 37. Let q be (-24)\/20*(-15)\/9. Solve -p = -q*l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71\/21 or -478\/3?\nAnswer: -478\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5135)\/(-65) + (2 - -1) + -1. Let r be 54\/5*(-30)\/(-4). Let w = m - r. Solve -v + 5 = -w*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21*(-12)\/(-70))\/((8\/(-2))\/(-2))\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 34, -14, -102, -236, -422?\n\"Answer: -j**3 - 14*j**2 + j + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**7\/16380 + k**6\/468 + 5*k**5\/156 - 5*k**4\/12 + 2*k. Let h(f) be the third derivative of l(f). Factor h(j).\nAnswer: 2*(j + 5)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 22*p + 520. Let l be b(-17). Calculate the greatest common factor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 3*y**2 + 0*y**2)*(y**2 + 0*y**2 - 5*y**2) + 3*y**4 + 2*y**4 - 3*y**4.\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.5 and -0.6.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, 648, 2266, 4748, 8094, 12304?\nAnswer: 17378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 261873121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 3. Let w = m + 6. Let s = -3687 - -3689. Solve -w*k = s*a - 25, 4*k - a - 45 = -6*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -10 + 0 + 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*x - 264 = 301. Solve -5*q + x*p = -27 - 8, 4*q - 22 = 2*p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/4, -7, 13, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*r - 354 - 312 + 186 = 0 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**3 + 0*f**3 - 21*f**3)*(-69*f**2 - 8 - 16 + 27).\nAnswer: 1035*f**5 - 45*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1235*x + 10 = 1240*x + 5*i, 16 = -4*i. Let q(v) = 14*v**2 + 53*v - 17. Let o(m) = 5*m**2 + 18*m - 6. What is x*q(g) - 17*o(g)?\nAnswer: -g**2 + 12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2\/5 + 1979073*p\/5 - 5937246\/5 = 0 for p.\nAnswer: -659694, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 7700000 to the nearest 100000.\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/1*-1)\/1. Is (-2)\/(p + (-47)\/(-24)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 11875.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 17*j**2 - 6*j**2 - 3*j - 6*j**2 + 38*j**2 in the form u*j + k + n*j**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 514 - -3310. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176063?\nAnswer: 176063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*(0 + 3*sqrt(14)\/sqrt(2))*-1 + 5).\nAnswer: -12*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - c**2 + 3*c - 5. Let a be v(-3). Find the second derivative of -3*i + 22*i**a - i - 4*i**4 - 14*i wrt i.\nAnswer: 216*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -2, 149, 0 in descending order.\nAnswer: 149, 4, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -52\/7 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -1121100100020221?\nAnswer: 1121100100020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4701731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 328 + 395. Suppose 2*w - 188 = -4*m, -c - 81 = -3*w + 4*m. Calculate the greatest common divisor of 12 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8736, -17724, -26716, -35712, -44712, -53716, -62724?\n\"Answer: -2*j**2 - 8982*j + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 - 739*g - 31177. Determine c(-54).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 51744 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -4.8. Let g = 0.2 - c. Is g equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1946 and -130.9.\nAnswer: 254731.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6\/31*10\/30\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104955 rounded to the nearest one hundred?\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from {x: 3, z: 4, f: 1, r: 4, q: 3, l: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 10*l**6\/3 + l**4\/2 - l**2\/2 + 4*l + 397. What is the second derivative of r(a) wrt a?\nAnswer: 400*a**3 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*x - 3*x. Suppose -x*c - 12 + 34 = 3*t, 3*t = 4*c + 4. Solve -c = 4*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 22 = x, -5*n = -x + 3 - 1. Let o be 6 + ((-9)\/3 - -6). What is the greatest common divisor of o and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96 + 204. Let a = y - 49. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2717.919ml to litres.\nAnswer: 2.717919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -b + 4*b. Let j = b + 7. Suppose 360 = 4*y + 5*x, 4*x = 6*x. What is the greatest common factor of y and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5610499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 611 and 340327?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 2, r: 1, e: 1, c: 2}. Give prob of picking 1 e and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 7\/3 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451739 is divided by 225849.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 0.06, 531?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (399\/19)\/(-3) + -4 + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5.575*700\nAnswer: -3902.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, h: 3, t: 1}. What is prob of picking 1 t, 1 q, and 2 h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3562, -14237, -32028, -56935, -88958?\n\"Answer: -3558*a**2 - a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30279747 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27073 rounded to three decimal places?\nAnswer: 0.271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -28. Let s(y) = -1 + 8 - z*y - 2*y + 3*y. Let i(l) = -l + 10. Let m(b) = -5*i(b) + 7*s(b). Differentiate m(d) with respect to d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 23 + 342*g**3.\nAnswer: 342*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*a + 6. Let v(n) = -n**3 + 5*n**2 - 5*n - 1. Let u be v(3). Let j be 4\/(-2) + u + 2. Solve -4 = j*i - a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/16 and ((-1)\/(-8))\/(-4 - (-3854)\/968)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 70*r**2. Let p(n) = -2981173*n. Determine u(p(f)).\nAnswer: 622117471915030*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 143637*b**2 + 20*b - 9. Is y(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*k = -26, 4*k - 2*k = 3*o - 79. Let j be (-4)\/(-10) + (-46)\/(-10). Suppose -s + 12 = -3*i, 5*s + j*i + o = 3. Does s = 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**6\/120 - s**5\/4 + 2*s**4\/3 + 5*s**3\/3 - 61*s**2 + 2. Calculate d(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -4. Suppose 5 = 4*k - 3. Sort k, -2, j.\nAnswer: j, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 8888?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + h + 5, 2*h - 5*h = -9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -24*q - 276. Determine n(-8).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -307*f**2*h**3 - 3*f**2*h**2 - f*h**2 - 35*h wrt h?\nAnswer: -1842*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57.52 + -58. Let p = s - -0.76. Let k = p + -3.78. Round k to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 15 (b) -0.2 (c) -0.3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 744*v**2 - 9*v + 1. Let w(j) = 738*j**2 - 8*j. Let l(t) = -4*s(t) + 6*w(t). Find the second derivative of l(n) wrt n.\nAnswer: 2904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -2 - 0)*3. Which is the third smallest value? (a) -14 (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -25360 in decreasing order.\nAnswer: 2, -3, -25360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 12 = -14. Suppose 43 = 3*r + y, 3*r - 2*y = 2*r + b. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.87*-4.\nAnswer: 7.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3717 = -2405*l + 723*l + 15491 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -25. What are the prime factors of (-8)\/6*(-258)\/u?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (78 - 17010\/245)\/(12\/70)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -267*t. Let y(z) = -z. Let w(r) = -r. Let h(j) = 4*w(j) - 3*y(j). Give h(q(v)).\nAnswer: 267*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j**2 - 90*j - 3*j**3 + 4*j**3 + 91*j - 1 to l + n*j**3 + m*j**2 + k*j and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.115161kg in grams?\nAnswer: 1115.161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/2 - 2 - 2. Let s be (-16)\/(-9) - 4\/(-18). Let d = s + v. 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 s(h) = 9*h**2 - 54*h - 47. What is the thousands digit of s(-25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476 + 480 + 481 - 2*c - 1437.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1118867583?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 100536 = 71*q. What is the greatest common divisor of 24 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 5*f**2 - 6*f. Calculate y(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 6 = -4. Let c = 10 + y. Suppose 0 = -4*k + c + 7. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 93*d**3 - d**2 - 3*d + 4. Is o(1) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, -0.06, 0, -10, -5, 1\/9, 0.4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-280))\/(4\/16)*7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3055 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 396397600 rounded to the nearest 100000?\nAnswer: 396400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*z - 0*z, 0 = 3*z - 5*x. Let n(b) = 12*b**2 + 5*b + z - 7*b**2 - 4*b**2 + 7. Determine n(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*o + 10, 2*o = 4*w - o + 6. Is w\/1 - (-14 + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2752 + 2792. Solve 11*x - 51 = -t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + -3*-2*sqrt(136) + sqrt(136) + sqrt(136))\/(sqrt(72)\/sqrt(144)).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + 5)*5 - -123. Let f = a - 115. Solve 2*z = -4*y - 0*z + 14, -2*y + f*z = -11 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and -14146.8.\nAnswer: 226348.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s + 2. Let z be x(11). Let j = 9 + -25. Let t = j - z. Sort t, 3, -4 in descending order.\nAnswer: t, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 87*m**2 - 4*m - 2*m - 86*m**2 - 12*m + 35. Let a be x(16). Suppose 5*j - 650 = -a*f, 4*f - f = 3*j - 366. What are the prime factors of j?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) -3\/4 (c) -6\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 501588?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f. Let r(o) = 8*o - 2. Calculate 2*i(q) + r(q).\nAnswer: 10*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -36.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 148 + -149.63. What is a rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 5*q, 4*x = 5*q + 7*x + 30 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1235387, -2470761, -3706135, -4941509?\n\"Answer: -1235374*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 59*d**2 - 5.\nAnswer: -59*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(66)*-1)\/((sqrt(96)\/sqrt(4))\/sqrt(4)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 3. Let j = t + 4. Let s = j + 17. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 17*s - 208. Let x be l(13). Suppose 0 = -5*n + 10, -f = 3*n - 13 - x. Solve 4*o = 3*w - 15, 2*o + f = 4*o + 4*w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12104 by 5816.\nAnswer: 1513\/727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.75988*-2.\nAnswer: 5.51976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(1*(-6)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*y + 33*y + 567. Solve y = -5*q + 66 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141314247 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 67599 (base 15) to base 14\nAnswer: 87aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 1281 = -1309. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**4 - n**3 - n**2 - n - 1. Let o(x) = 6 - x**3 - x + 11*x**4 - 1 - x**2 + 6 - 5. Let g(p) = -o(p) + w(p). Differentiate g(b) with respect to b.\nAnswer: -48*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -110*f**4 - 61*f**2*v - 3*f*v - 18420*v + 2 wrt f?\nAnswer: -440*f**3 - 122*f*v - 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 351*t**5 + 55*t**4 - 180*t**2 + 214 wrt t?\nAnswer: 21060*t**2 + 1320*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 8*n + 5. Let v be -7 + -2*3\/6. Let a be p(v). Let w be 3\/6*10*a. Solve -5*f = 5*r - w, f + r + 3 = 4*r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4973*k - 14866. Calculate the remainder when t(-3) is divided by (6\/8 + 0)*24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 11*f - 6. Let t(u) = 7*u - 4. Let m(v) = 5*k(v) - 8*t(v). Let h be m(-4). Let i = 142289 + -142235. What is the greatest common divisor of i and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/15)\/(48\/(-72)) - ((-4248)\/(-60) - 6).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 141*q + 2887. Determine i(25).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {j: 1, l: 1, d: 5, m: 1, t: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0982833 decades in centuries?\nAnswer: 0.00982833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 10 = -2*q. Suppose -47 = -v - 3*a, -3*v + v = q*a - 90. Let y = v + -37. Solve -y*c = -3*o - 3*c + 22, -4*o = -2*c - 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 29. Let z = 6.06 - 12.08. Let x = z - -6. Put x, v, 0.4 in decreasing order.\nAnswer: 0.4, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**1*y**(-2)*(y\/((y**3\/y)\/y))\/y**(-3))**(-2\/101) assuming y is positive.\nAnswer: y**(-6\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000708 rounded to 7 decimal places?\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 661835563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 100 + 17 = 3*c, 3*v = -5*c - 132. What is the units digit of (-36)\/(3 - c\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*j = 0. Let g(p) be the second derivative of -p**3\/6 - p**2 - 2*p. Determine g(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -11*d - 16*d + 35*d - 35 - 13*d. Let p be v(-6). Suppose -15*g + 150 = 30. Sort 5, -1, p, g in ascending order.\nAnswer: p, -1, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1859436275 rounded to 6 dps?\nAnswer: 0.185944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 - 60 + 46 = 5*b + k, -32*b + 94 = -2*k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/398 + 781\/5970. Which is the fourth biggest value? (a) 0.4 (b) -1 (c) h (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -329 - -404. Calculate the remainder when k is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x - 20*x = 21, -3*u - 77 = -4*x - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002893 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 49*r - 932. Let h(q) = 10*q - 193. Let v(m) = -29*h(m) + 6*s(m). Let j(x) = 2*x + 3*x - 5*x - 2*x**2. What is j(v(d))?\nAnswer: -32*d**2 - 80*d - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31 and -3222.\nAnswer: -99882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 13*f - 88 = 0. Suppose -12*h + 20 = -f*h. Suppose -3*x - 3*m = -3, 4*x + 2*m + h = 15. Solve z + 4*c = -x + 15, -5*c + 20 = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.25 in 105, -2, 1\/11, 13, 7?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, -15153 in ascending order.\nAnswer: -15153, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 104983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-297 + -1)*8\/32*-2 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 35*i**2 + 15*i + 769. Let s be c(36). Put -2\/5, s, -8, 3\/4, -0.7 in ascending order.\nAnswer: -8, -0.7, -2\/5, 3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 55*s**2 + 246*s + 202. Give f(50).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 8, -7*p - 2*p - 56 = -s. Let a(q) = -q + 3. Determine a(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/59*-1*1\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/253120 and -45\/31032512.\nAnswer: 155162560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-10200)\/(-725) + -18.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 332410?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/4 - (-1)\/4. Suppose -23*b + 19*b + 16 = 4*n, 8 = n - 3*b. Factor -m**3 + 1169*m - 1173*m + n*m**p.\nAnswer: 4*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1541 is divided by 472?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - 0 - (-19 + -1 + 317 + -300)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*r - 11, -5*p = 2*r - 16. Suppose 7*b + p*b - 957 = 0. What are the prime factors of b?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*c - 36*c + 71*c - 32*c.\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6717, -3, -1, -5, 6.\nAnswer: -5, -3, -1, 3, 6, 6717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 538 + -537.703. Let g = 0.2969055 - r. Round g to 6 dps.\nAnswer: -0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 76.300335ms?\nAnswer: 0.0000211945375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3847*q**2 - 2023526*q - 2099. Give s(-526).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 48 + (-3 + 5 - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20279, 20510, 20793, 21128, 21515, 21954?\n\"Answer: 26*x**2 + 153*x + 20100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*f)*(1364*f - 1022*f + 3 - 816*f).\nAnswer: -948*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81\/28 - 22\/7. Suppose 4 = u + 2*m, 14 = -4*u + m - 6. Let n be (u - -3)\/(-5) - (-16)\/70. What is the closest to 1\/6 in k, 2\/17, n?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4886 - -5001. Solve -3*u = 2*h - 22, 4*u + 4*h + z - 151 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25939830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and 110774?\nAnswer: 996966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w - 9. Let g be t(-6). Let x = g + -5. Suppose d + x = 11. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2 and 31.\nAnswer: -37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1529*k - 1520*k = -63 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*s - 20*s - 904 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z + 10, 3*s + 3*z - 27 = 0. Suppose -14 - s = -6*i. Suppose i*l = 4*l - 34. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(7\/(-39)) - 2. Let p = j - 22. Suppose 2*q + p = 5*q. Let l(u) = 5*u + 1. Let w(d) = -6*d - 1. Determine q*l(g) + 4*w(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -a + 17, 2*f + 21*a - 16*a = -7. Suppose -806 = -2*q + 4*h, -h - 1576 = -f*q - 5*h. Suppose -q = -4*o + 11. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + sqrt(11))**2 + (-3 + sqrt(11)*-3 - sqrt(11)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 1. Let g = -54615 + 54615.038. Which is the nearest to v? (a) 5\/3 (b) g (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d + 28. Let c be v(7). Suppose c = 2*z - 6 - 26. Suppose -13*k + z*k - 126 = 0. What is the highest common divisor of k and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 170238914 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 s when three letters picked without replacement from sddssss.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 2*g, -5*k + 10399*g - 35 = 10394*g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 22. Let k = -23 - -16. Let j = x - k. What is the smallest value in j, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 37?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96.92507 + 0.14493. Let i = v + -97. What is the nearest to -3\/4 in -3, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7849 is divided by 157?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 64424 - 1765?\nAnswer: 62437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 0.1, -268, 0.5, -76\/3?\nAnswer: -268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -269\/11 - -4\/33. Let d = j + 25. Let x be ((-1)\/1 + 0)\/(-5). Which is the second smallest value? (a) -1 (b) d (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 35*i + 34*i = 97, 2*i + 2 = 0. Let x(w) = -17*w + 3. What is the remainder when x(-4) is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/121*(-2)\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20135 + -365?\nAnswer: -20511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*l + t, 2*l - 4 = l + 4*t. Suppose 0*n - 64 = -l*n. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82344 or -905786\/11?\nAnswer: -905786\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -607879*f**4 + 4251889*f.\nAnswer: -7294548*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 - k - 4. Let z(x) = 5*x**2 - x - 6. Let r(h) = 4*b(h) - 3*z(h). Determine r(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/70 and -13\/25?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91998 = -13*m - 11723. What is the highest common divisor of 10 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(200) + 2) - sqrt(200)) + 2)*-1*-6.\nAnswer: -420*sqrt(2) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-4 - -9) + -7. Are 1\/102 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 - -3253. Let u = -1460 + f. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1572922 and 858?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-165)*(1 + -6)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*k = 425, c + 2*k = -3*k + 77. List the prime factors of c.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - k - 49181, -5*p + 47199 + 75750 = k. Calculate the greatest common factor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74224909663.892982937 - 74224909806. Let o = n + 0.407023993. Let h = o + 141.7. Round h to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-6))\/1)\/(104\/104).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 2. Calculate the remainder when 34 is divided by -1*m*(5 - 23).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277736.\nAnswer: 2, 149, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 + -39545.95.\nAnswer: -39545.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 75013111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/14)\/(3*(-6 - -5)). Let b = 0.056 - -23.944. What is the third smallest value in b, d, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441*l + 876*l + 195 = 450*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q + 37. Let k be p(-11). Let u(o) = o**2 - 7*o + 3. Determine u(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768)*-2 - sqrt(768)) + (sqrt(9)\/sqrt(3)*-6 + 4 + sqrt(3) + 1)**2.\nAnswer: -98*sqrt(3) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 1 - (-5 - 3). Suppose 0 = d*b - 20, 4*w + 4*b + 0*b - 16 = 0. Let t(n) = n**3 + n**2 + n + 1. Let z be t(w). Is z at most 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28643, -56941, -85239, -113537, -141835, -170133?\n\"Answer: -28298*b - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 33*n - 49*n - 5*n**2 + 227*n as b + t*n + x*n**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -299*q**3 + 9*q**2 + 10*q + 19. Is d(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10*u**3 - 2*u**2 - 2*u. Let p(b) = 5*b**2 + b**3 + b**2 - 9*b - 10 + 3*b**2 - 2*b**2. Let j be p(-8). Let z be l(j). Round z to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 4 + 1 + 8 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 3*m**3 + m**2\/2 - 7*m + 201. Let u(p) = -14*p**2 - 2*p + 11. What is 5*u(s) + 8*v(s)?\nAnswer: 2*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 769*u**2 + u - 2. Let m(t) = 3862*t**2 + 6*t - 11. Determine -33*l(n) + 6*m(n).\nAnswer: -2205*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**2 + 4*o - 48. Let p be i(3). Solve u - 11 + p = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -3 - -1) + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3191438 or -3191440?\nAnswer: -3191438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from iepeiieiqeieeiieqeee?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 5 - 7\/2*i**4 - 4*i**2 + 9\/10*i**5 - 3*i + 16\/3*i**3. Let c(z) be the first derivative of r(z). Factor c(p).\nAnswer: 2*(p - 1)*(3*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2. Let n(t) = 67328*t. Calculate n(z(s)).\nAnswer: -67328*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 10:37 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - -48) + -44 - -17.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*-6*1 + -6*(sqrt(85) - (6*sqrt(85) + sqrt(85))))\/((-1*6*sqrt(720) + sqrt(720))*-5))**2.\nAnswer: 17\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t + 80. Let y(m) = -4*m + 50. Let n(f) = -5*x(f) + 8*y(f). Let v(h) = -134*h**2 - 4*h. What is v(n(i))?\nAnswer: -536*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r + 590 = 28*r. List the prime factors of r.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n. Let p be (-4)\/(-14) - 36\/28. Let a be d(p). Suppose 4*t - 3*w = t + 3, 0 = 3*t - a*w. Solve -h = h - t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560098051.\nAnswer: 383, 1462397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*k**3 + 6*k**3 + k**3 + 0*k**3 - 13 wrt k?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1580840*s**4 + 5*s**3 - 6800548*s**2 wrt s?\nAnswer: -37940160*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 34*o + 1. List the prime factors of f(3).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-675)\/(-100) - (-4 + 10)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162282 divided by -6?\nAnswer: -581141\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 45703 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171757, -343654, -515551?\nAnswer: -687448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 f when four letters picked without replacement from fxccxcx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -440*a - 70*a**4 - 4 + 0*a**3 + 441*a + 81*a**4 + 3*a**3 to h*a**4 + x*a + g*a**2 + o*a**3 + w and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p*z**2 + 406*p*z + 76*z**2 - 2*z wrt p?\nAnswer: 2*z**2 + 406*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 6:22 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 + 6 = -39*j. Solve j*g + 3 = 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8443 >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 12 = 5*i + 12, q + 4*i - 12 = 0. Let s = -2 - -3. Calculate the greatest common divisor of q and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 plus -21.25?\nAnswer: -207.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, c: 2}. What is prob of sequence pc?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/1979 or 500\/9?\nAnswer: 500\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -15367 less than 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, d: 1, y: 1, c: 5}. Give prob of picking 1 z and 1 d.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63619427.\nAnswer: 73, 457, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 686173202 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 10*m**2 + 155*m - 2515. Give k(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = 244 + 181. Calculate the remainder when j is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81443233*n**2*w + 283172083*n**2 - 2*n*w wrt w.\nAnswer: -81443233*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8, 25, 108, 265, 520?\n\"Answer: 4*a**3 + a**2 + 2*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13584 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 0.4, -7085, 43?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, -1.67, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2 + (-5 + 2 + 0)*(1 - 3 + 4))*(-3*h + 0*h + h) + 0*h - 3*h + h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*m + 244*m + 139*m + 13*m + 372*m.\nAnswer: 603*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*p = 18, 0*s + 3*s + 5*p + 31 = 0. Let i(v) = 7 - 455*v + 5 - 2. Let m be i(s). What is m rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + -1c6?\nAnswer: -1b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n = 3*x - 12*n + 11, 3*x + 19 = -4*n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**5 - 900*w**4 - 4572*w**3 - 6428*w**2 - 2760*w = 0.\nAnswer: -3, -1, 0, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.32 and -3947.9904.\nAnswer: -3947.6704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - b = -0*b + 2, -2*b - 6 = a. Suppose -342 = -a*z - 88. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 6 = 6*i. Let o(d) = -2*d**2 - 762 + i*d**2 + 762. Let c(u) = 0 + 0 - 4*u**2. Give o(c(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -991*t**2 + 598*t wrt t?\nAnswer: -1982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((490\/(-100))\/(-49))\/(1*3\/(-36)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (370\/(-40) - (-1)\/2)*-4. Calculate the greatest common factor of 42 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r**2 - 180 + 7*r**2 + 188 + 5*r. Let g = 11 - 14. Let b be m(g). Solve b*p + 2*p = 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -5.7. Let m = b + -0.1. Let u = 293046 + -293045.7. What is the closest to m in 0, u, -2\/19?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 - -2) - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24927 - 223043\/9. Let o = -144 + r. Which is the biggest value? (a) o (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*n + 3*l, 5*l + 2 + 2 = -3*n. Let m be (20\/(-6) - n) + 0. Let t = -7 + 10. Which is the second smallest value? (a) t (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 83*i**3 + 8*i**2 + 3. Let p(u) = -165*u**3 - 14*u**2 - 6. Calculate -4*p(g) - 7*w(g).\nAnswer: 79*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -16*y**2 + 359*y + 322. What is a(23)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 + -1.47. Let m = -4.17 - v. Let c = m + 2. Sort -4, -6, c in ascending order.\nAnswer: -6, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -5, -3\/4, -6\/139?\nAnswer: -6\/139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.12. Let v = i + 5.02. Which is the third smallest value? (a) 0.3 (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -132054, -264116, -396178, -528240, -660302, -792364?\n\"Answer: -132062*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 167373342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10886 + -7293. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 92 = -2*g, -26*g - 1182 = 2*y + 252 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 51.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 2277970*b + 2277975.\nAnswer: -5*(b - 455595)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*m - 10, 23 = m + 2*m + 5*o. Is m bigger than -2\/351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 15*z**4\/8 - 93*z**3\/2 + 2445*z**2\/8 - 207*z - 54 = 0.\nAnswer: -1\/5, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 - 4*p**3 + 4*p**3 - p**2 + p**2 - 3*p**4 + (0*p**3 + 0*p**3 + p**4)*(-1 + 1 - 2) + 25*p**2 - 13*p**4 - 25*p**2.\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 - (-8 + (-420)\/(-25)). Let n(q) = q**2 - 9*q + 3. Let l be n(8). What is the third biggest value in -4, -2\/3, v, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5133956 is divided by 3514.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**4 - z**3 + z**2 - z + 1. Let n(o) = -96*o**4 + 4*o**3 - 4*o**2 + 4*o + 95. Let h(f) = -4*i(f) - n(f). What is the first derivative of h(l) wrt l?\nAnswer: 400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + (-18)\/6 + 5 + -5)\/1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -528652 by -3548.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - a + 285 = 321, 4*w + 4*a = 48 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 2:32 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -274 - -402. Let p = d - 338. What is p rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 1025.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.9? (a) -0.2 (b) -0.5 (c) -115 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**5\/60 - i**4\/3 + 2*i**3 - 2*i**2. Let k be x(-9). Solve 18 = -4*n + 2*f, 0 = n - 4*n + k*f - 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1050230 - 3?\nAnswer: 1050226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -347 in decreasing order.\nAnswer: 8, 4, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 4, 135, -88.\nAnswer: -88, 2, 4, 5, 135","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 4*n = -5*z - 28, -15 = -3*n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2) + (2 + -1 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeeeeheehheh. Give prob of sequence eeee.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3\/4, 3, -3, 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k*o**2*v - 2*k*o**2 + k*v**2 + o**2*v**2 + 180960*o**2*v + 5884*v**3 wrt v.\nAnswer: 2*k + 2*o**2 + 35304*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1609361272?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5885*l + 35319. Give g(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3021 + -521540?\nAnswer: -524561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2076026, 2076015, 2076004?\nAnswer: 2075993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d + 5248 + 15824 = 0. Let c = -285 - d. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 20. Let c be (7 - 9\/(5 - 2)) + -64. Let q = w - c. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/6 + 5*l**3\/3 - 11*l**2\/2 + 20*l\/3 - 8\/3.\nAnswer: -(l - 4)**2*(l - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 1 - 13 = i, 0 = 3*h - 9. Solve i*r + 15 = 8*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6990916 is divided by 544.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 69231 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -25 (c) 1\/2 (d) -1\/2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, -12 in descending order.\nAnswer: 1, -0.1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -114*2\/108*18\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhhhv. What is prob of sequence vhuh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -476.\nAnswer: -475.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -248843400 divided by 407940?\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -31*k - 4. Let u(i) = 3*i**2 + 201*i + 203*i + 191*i - 595*i. What is u(m(z))?\nAnswer: 2883*z**2 + 744*z + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*l**2*v + 20272*l**2 + 2*l*v - 1242*v wrt v?\nAnswer: -3*l**2 + 2*l - 1242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 15. Let q be p(0). Let k = q + -18. Let d = k + 8. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p**2 - 88*p**2 - 81*p**2)*(-p**2 - 2*p + 2*p) as m*p + z*p**3 + d*p**4 + f*p**2 + b and give d.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -16\/9*x + 32\/9 + 2\/9*x**2 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-2*5\/10). Suppose 4*b = r*k - 256, -2*k = k - 2*b - 152. Is 22 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/900 and -133\/750.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 18 = 9*d. Let t(a) = a**3 + 4*a**2 - 4*a + 4. Let i be t(-5). Which is greater: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/17328 and 139\/18696?\nAnswer: 710448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -33, -2 in descending order.\nAnswer: -2, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**2 - 5*v + 3. Calculate the least common multiple of 10\/(32 + -27)*1 and d(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2\/3, 0.05, 0.1, 1\/9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -312, -626, -940, -1254, -1568, -1882?\n\"Answer: -314*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 873309?\nAnswer: 3, 291103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 41*f**2 - 27*f - 5. Let n be s(-4). Calculate the highest common divisor of 138 and n.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 42*m**2 + 592*m - 26. Calculate r(-14).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 12*l - 4. Let y be i(12). Let a(m) = -m**2 - 5*m - 6. Let u be a(y). Is (u - -12)*(3 - (-2)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 593987.3 micrograms to grams.\nAnswer: 0.5939873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 2*b - 189. Calculate the remainder when b is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/35*(-48960)\/(-6528)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6051296827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(2*l - l + l) - 20 + 20 - 5*l - 3 + 3 + 0 + 44*l.\nAnswer: 37*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 11*q**3 + 2*q**2 + 21*q**3 - 31*q**3 to the form g*q + i*q**2 + y*q**3 + s and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 44 = -5*z, -r - 2*z = -0 + 14. Let v(l) = l**2 + l + 4. Is 10 a factor of v(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 - -7 - (3 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*v = v + 18, 3*p + 4*v = -14. Suppose -2*i = p*i - 200. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47199059 a multiple of 2866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219 + 31*o + 901 - 341.\nAnswer: 31*o + 341","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 8*y + 7. Let r(i) = -i**3 + 2*i + 3. Let g be r(-2). Let b be v(g). Suppose -3*p - 53 - b = -s, 2*p = 4*s - 64. What is p rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -201, -180, -159, -138?\n\"Answer: 21*c - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 2001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w - 224 = -725 + 348. Let i(z) = -z + 14. Give i(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1023 + 6710. What is the least common multiple of 77 and c?\nAnswer: 39809","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 426, 535, 634, 717, 778, 811, 810?\n\"Answer: -c**3 + c**2 + 113*c + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 12) to base 8\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 12*z. Suppose z = -i - 19 + 23. Calculate the least common multiple of (-2 - 2)\/((-4)\/6) and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, b: 1, h: 1, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/4 - 3997\/(-2296)) + -1. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -937 and -157?\nAnswer: 147109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m - 2. Let x(j) = j**2 + j - 2. Let r be x(2). Let z(f) = -r + 0 + 9*f + 0. Suppose 5*v + 26 + 9 = 0. Give v*w(o) + 4*z(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 6:10 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (0 + 2 - (-9 - -10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3552 by -4.\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 56. Let s = v + 13. What is the greatest common factor of s and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -8, 1, 4, 46\/15, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12996*c*u**4 - 34*c*u**2 - 8*c*u - 2*c - 3288*u**5 - u**2 - 125*u + 12 wrt u?\nAnswer: -311904*c*u - 197280*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 3:37 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 95 = -6*y. Let l(c) = -200*c + 312. Is 11 a factor of l(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 24*v - 30*v + 74*v to s*v + b and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0617 - -0.0283. What is the biggest value in -2, 0.19, x?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1544)\/(-312) - 24\/(-468).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffmfmffffffff. Give prob of sequence mfm.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8204 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(102) + ((sqrt(102)*1 + sqrt(102))*6 - sqrt(102)) + sqrt(102)))\/(1*-3*sqrt(18)\/sqrt(3)).\nAnswer: 26*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -0.4. Let p = -0.06 - -4.56. Let f = -5 + p. Sort i, f, -1\/4 in ascending order.\nAnswer: f, i, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122 - -31. Let v be 0 + t - (0 - 1). Let h be 4\/(-10) + (-6)\/v + -3. Which is smaller: -4 or h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 6\/5, 5\/6, 26, -4 in decreasing order.\nAnswer: 26, 6\/5, 5\/6, -0.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 7:08 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -27?\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-11)\/9 - -2. Let f be -13*(-3)\/(-18) + 3. Let z = 4668 + -9335\/2. Which is the closest to z? (a) i (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**9*n*n**(-1\/9)*n*n*(n\/n**25)\/(n\/n**2))**(-32) assuming n is positive.\nAnswer: n**(7808\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2340 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13, -123, -307, -565?\n\"Answer: -37*a**2 + a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -4, 0*f - 1741 + 1767 = -3*f + 5*n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -53. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 118858427?\nAnswer: 118858427.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 698*(-90)\/(-21) - (-12)\/(-28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1216, -1390, -1680, -2086, -2608, -3246, -4000?\nAnswer: -4870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5\/2 + 1375*d**4\/2 + 32205*d**3\/2 + 227965*d**2\/2 + 212856*d - 197470 = 0. What is d?\nAnswer: -434, -13, -7, -5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18, -56, -108, -168, -230, -288?\n\"Answer: i**3 - 13*i**2 - 6*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + ((sqrt(77) + 4*(sqrt(77) - (-2*sqrt(77) - sqrt(77)) - sqrt(77)) - sqrt(77)) + 2*sqrt(77)*-1)\/(sqrt(99)*1 - sqrt(110)\/sqrt(160)).\nAnswer: -2 + 40*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22984 and 18616.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.878788475 and -32.\nAnswer: -33.878788475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Find the first derivative of -5 + 3 - 4*w**2 + 2*w**r + 3 wrt w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.029 - 2.029. Which is bigger: 12 or a?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 5437 - 5434 + 6*q. Determine h(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.4, -1.7, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 1108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1435 - -5?\nAnswer: -1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-2\/19))\/(a**(-3\/23)*a))\/((a**1\/a)\/(a*a\/(a\/a**(1\/26)))))**(2\/5) assuming a is positive.\nAnswer: a**(14477\/28405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 12:14 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65 by 59.\nAnswer: 65\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*c = -32*c + 231736 - 2417045. Is c a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 10:26 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -15, -1, 6 in descending order.\nAnswer: 6, -1, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -2 - (-30)\/10. Suppose -4*r = -y*r + 128. Let o = 22 + r. Which is smaller: o or -9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342192 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = -4*h + 9*h - 156952. What is the thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/2 or 13.42324?\nAnswer: 13.42324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - 3. Let g = 28 + h. Which is smaller: 0.14 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 257920 and 1550?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (4 - 3)) + 0 + 0 - 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -158*c + 504. Let v be m(0). What is the greatest common divisor of v and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/21 and -43\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/6 (b) -0.2 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 5:05 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-10)\/b)\/b**10*((b\/(b*b**4))\/b)**40)**(6\/5))**(-8\/7) assuming b is positive.\nAnswer: b**(10608\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25.64 - -4.64. Let z = -2.24 - -22.94. Let d = z + a. What is the closest to 2 in -2\/9, -3, d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(720) + -2)**2 + 5 - sqrt(720)) - (-4*(-3 + sqrt(500) + -5 + sqrt(500)))**2.\nAnswer: -32299 + 5060*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -22507+676906.2\nAnswer: 654399.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 98\/11, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.035 and 5.5.\nAnswer: 0.1925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yby when three letters picked without replacement from bbybbbbbybbbybybbybb.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqqwjjt. What is prob of picking 1 t, 1 w, and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220 (base 4) to base 12.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.25 and 26963929.\nAnswer: 26963928.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n - 4*k - 395 = 0, 2*n = -5*k + 271. What is the highest common divisor of n and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 187, 140, -5, 2 in ascending order.\nAnswer: -5, 2, 140, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -167db (base 16) in base 8?\nAnswer: -263733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 21. Let z(f) = -f + 22. Let b(d) = -3*l(d) - 2*z(d). Let k be b(-20). Calculate the highest common divisor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90238 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65623, -65629, -65637, -65641, -65635, -65613?\nAnswer: -65569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + -17803.\nAnswer: -17797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 1 = -m, 35*g - 33*g = 2*m + 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9 + 0 - 9 + 11*k + 16. Let b(x) = -10*x + 1. Determine 3*b(u) + 2*c(u).\nAnswer: -8*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + u - 3. Let z(r) = -12*r**2 - 4*r - 10. Give 3*d(a) - z(a).\nAnswer: 9*a**2 + 7*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -433 (base 9) in base 8?\nAnswer: -542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722987353.\nAnswer: 11, 83, 349, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(2) + sqrt(288) + -1)*-4 + -1 - (sqrt(20)\/(sqrt(1000)*-1) + 2))*-4)**2.\nAnswer: -8304*sqrt(2)\/5 + 2155238\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 177 (b) 4 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 - 56*o + 140123. Give z(-279).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/13*o**5 - 55292\/13*o**3 + 1823620\/13*o**2 + 1714750\/13 + 574\/13*o**4 - 3483650\/13*o = 0 for o.\nAnswer: 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 49*h**5\/60 + h**4\/24 - h**3\/2 - 3*h**2. Is t(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -15*l - 33. Let n(r) = -9*r**2 - 2*r - 2. Let v be n(-1). Is d(v) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 53 = 7. Let k be ((-130)\/t + 9)\/((-2)\/(-4)). Solve -5*x - 10 = -k*g, x = -0*g - 4*g + 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 21 = t, -2*t - 8*b = -3*b - 33. Let p = 16 + -12. Suppose -4*o + 20 = -p*k, -t*o + 8 = k + k. Solve 0 = -4*x + o - 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.8687*4\nAnswer: 19.4748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119057 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 176 = 4*p, -3*f - 3*p + 4*p = -284. Suppose 5*n - n = f. Let z = -3 - -6. Solve l + 12 = -4*a, 6*l = 3*l + z*a + n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9003 greater than or equal to 3.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 677529 to the power of 1\/2, to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-88)\/11)\/104\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.9? (a) -1\/13 (b) -3 (c) -0.67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -205, 237, 657, 1055, 1431, 1785, 2117?\n\"Answer: -11*p**2 + 475*p - 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v**2. Let w(p) = 6776*p - 1. Calculate w(a(q)).\nAnswer: -60984*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor j + 0 + 1\/2*j**2.\nAnswer: j*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222416 (base 7) in base 4?\nAnswer: -212110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -82, -295, -640, -1111, -1702, -2407, -3220?\n\"Answer: t**3 - 72*t**2 - 4*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-12) - (-7 - -9).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 3 + (-9 - -21). Let n = 14 - v. Suppose 3*t - 7*t + 144 = n. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hy when two letters picked without replacement from {b: 1, y: 1, m: 1, h: 1, a: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1911 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3910675 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: Express -5019*x**4 + 3 + 10034*x**4 + 4*x + 4*x**3 + 5*x**2 - 5018*x**4 in the form l*x + v*x**2 + m*x**4 + z*x**3 + j and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2265, -1860, -1181, -228?\n\"Answer: 137*u**2 - 6*u - 2396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341604 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: Suppose -4*t + 236 = 2*w, 5*t - 2815 + 2492 = w. Solve -8*y = 1 + t for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + t**3 + 0)*(-4*t + 2*t + 63*t)*((1 - 3 + 1)*(-4 - 1 + 1) - 1 + 4 - 1).\nAnswer: 366*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*j**3 - 3 + 197*j**3 - 390*j**3 + 3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-8\/3)*i)**(-1\/68)\/(i**(-3))**(-31) assuming i is positive.\nAnswer: i**(-18973\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*x + 2 - 59*x**3 + x**4 - 61*x**3 + 2*x**2 - 59*x**3 - 51*x**3 + 242*x**3 to h*x**4 + b*x + p*x**2 + c + z*x**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 197939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7\/j**(-4\/7))\/(j\/(j*(j*j**(-2\/5))\/j)*j*j**4\/j)*((j**(-1))**31)**(1\/20) assuming j is positive.\nAnswer: j**(227\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = k - 7, k + 40*g - 44*g - 19 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/5544 and 103\/4032?\nAnswer: 44352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*x - 111 = -x, -x + 103 = t. Let b = t - 113. Which is bigger: -13 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5111 is divided by 263?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3279 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/29))**(-3\/46) assuming r is positive.\nAnswer: r**(-6\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -7054.\nAnswer: -3\/7054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -446, -3574, -12022, -28436, -55462?\nAnswer: -95746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67.84 + 1.16. Let k = 69.000101 - v. Round k to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -110, -116, -130, -158, -206?\n\"Answer: -m**3 + 2*m**2 - 5*m - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31817*g**2 - g + 12962 wrt g?\nAnswer: -63634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 41 - 229*w + 242*w - 18. Let l be y(-6). Suppose 36*f + 108 = 34*f. Is l < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -n + 89, -g - 3*g = -5*n + 175. Let x = 2044\/3 - 636. Let y = x + g. Which is greater: -0.05 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -24.4. Let q = 0.1 - -0.1. Let i = 0.1 - q. What is the closest to 1\/3 in i, b, -3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 + (-2)\/(-3). Suppose -2*r + 4*x + 26 = f, 0 = 5*x + 2 - 22. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 61, 148, 271, 430?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvnsnbmv. Give prob of sequence mbvv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -16 - (-7 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 8. Let s = h - -2.8. Let k = -0.3 - s. Which is the closest to k? (a) 1\/7 (b) -0.2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -5*w - 2*o, 5*o = -5*w. Let c(i) be the second derivative of -i**2 + 0*i**3 + 1\/6*i**4 + w + 6*i. What is c(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a - 10. Let v(m) = m - 1. Determine -o(u) + 6*v(u).\nAnswer: 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241599?\nAnswer: 47, 26417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 81934839 to the power of 1\/2, to the nearest integer?\nAnswer: 9052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 281975?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(3\/5)\/m*m)**25 assuming m is positive.\nAnswer: m**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-42)\/28*2\/(-309)). Do -307 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*m - 309744 = -12*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9107215\/328 - 27766. Find the common denominator of -65\/332 and t.\nAnswer: 27224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from gccgcggggccwggcgggg?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 24*z**2 - 123*z - 570. Let x(f) = 29*f**2 - 130*f - 570. Let s(k) = -6*q(k) + 5*x(k). Calculate s(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 5*g + 6. Let z = -3 + -5. Let q be (z\/6)\/((-2)\/6). Let v be u(q). Solve 0 = -5*p - 2*n + 7, 0 = 3*p + v*n - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 + 2004*y**3 - 1004004*y**2.\nAnswer: -y**2*(y - 1002)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*w = -2*w - 1, 0 = -3*v + w + 13. Find the second derivative of 2*n**3 - 2*n**v - 2*n**3 - n + 4*n wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -219184553*b**3 - 105070140*b wrt b?\nAnswer: -1315107318*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2487?\nAnswer: 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0622201ml in litres?\nAnswer: 0.0000622201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-16))\/(7\/84).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2 + 3\/6). Suppose 0 = l*k + 5*c - 19, 4 = -5*k + 4*k + 2*c. What is the first derivative of 6*z**2 + 1 + 2*z**2 + 0*z**2 - 3*z**k wrt z?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71675*i + 71720*i + 270 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2719.6 - 2718.3041. Let l = -1.3 + r. What is l rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151772538 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 212103343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 786252 or 786254?\nAnswer: 786252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/2)\/(3\/2). Let a be ((-8)\/h)\/(2\/2). Suppose -7*q = 5*b - 8*q - 12, 5*q = 15. Solve a*t - 15 + b = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, h: 7, v: 3}. Give prob of sequence vvv.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 0*x + 1\/4*x**4 + 0*x**2 - 1\/6*x**6 - 6 - 1\/5*x**5 + 1\/3*x**3. Suppose q(z) = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 1. Let a be o(2). Suppose -14 = -4*q + 5*s, a + 3 = 4*q - s. Let j be 20 + (1 + -1 - q). Solve 3*z - 9 = -n - 0*z, -5*z + j = 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*q + 75*q = 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -f - 3*f - 19, -5*f - 17 = s. Suppose 5*y = 4*n + 39, 2*n + 2*y + 0*y + 6 = 0. Let m be (98\/21)\/7 + 22\/n. Sort -6, m, f.\nAnswer: -6, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 - -0.17. Let a = 0.06 + z. What is the third smallest value in 5, 2, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-1\/2)))**(7\/6)*b\/(b\/((b\/(b\/b**9))\/b))*b*((b**5\/b)\/b)\/b)**(-9) assuming b is positive.\nAnswer: b**(-375\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2.1. Let s = -0.6 + k. Let h = 0.54 - 1.54. Which is the nearest to -1\/2? (a) s (b) -0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2 + 15*r + 7. Let v be x(4). Suppose 0 = 5*w - v*y - 1662, 5*w = 6*w - 3*y - 330. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 2513.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1483 + -47?\nAnswer: -151a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, f: 2}. Give prob of picking 2 k and 2 f.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from vvtpvvpwtvvvxxy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 534 - 312. Let n = l - 1108\/5. What is the closest to -1 in -4, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-11 - -18 - 23 - -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**4\/8 - 3*b**2. What is the units digit of t(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, b: 1, l: 6, r: 1}. Give prob of sequence lll.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3719750.\nAnswer: 2, 5, 14879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65024*f**2 + 521378 wrt f.\nAnswer: 130048*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + r = 40, 4*m - 33 = -3*r + 10. What is the nearest to 2\/7 in 1\/4, -5, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*v - 6. Let g be v*(-5)\/45 + (-58)\/6. Sort g, 1, -5 in increasing order.\nAnswer: g, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -118, -228, -318, -382, -414?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4878 - 835.7.\nAnswer: -835.2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1507395 to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2256*c - 2219*c + 4486*c. Let r(w) = -27*w - 15. Let y(k) = -7*k - 4. Let n(j) = -4*r(j) + 15*y(j). Calculate n(p(s)).\nAnswer: 33*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 32 = -5*f, p - 689 + 757 = 5*f - 3*p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 6. Let a(w) = 2*w - 2 - 14 + 5. Let z(v) = 4*a(v) - 7*c(v). Give z(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - o - 395*o**3 + 4*o.\nAnswer: -395*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + 5*r**3 + 3*r**3 - 10*r**3 - 1 + 0*r**2 to the form n*r**3 + k + s*r + w*r**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o - 6. Let n(k) = 3*k - 31. Let w(t) = -3*h(t) - 2*n(t). Determine w(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-4*-6 + sqrt(42)\/sqrt(6) + -4.\nAnswer: -4 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**3 + 56776*l**2\/3 + 4975504*l\/3 - 1114080 = 0.\nAnswer: -4642, -90, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 115354 to the power of 1\/2, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3573889790 to the nearest integer?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 8038000 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.037 + -0.037. Let g = 15 - j. Let n = -169 + 187. Which is the closest to 0.1? (a) g (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - (sqrt(35) - -1*sqrt(140)))\/sqrt(2268) - (-1*sqrt(200)\/sqrt(10)*1 + 1).\nAnswer: -1 + 17*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - v + 5 = 0, 2*v - v = 356*f - 364*f + 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6174 - 10904. Let x = -56845\/12 - t. Find the common denominator of 67\/40 and x.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 20 = -3*k - 2*u, -16 = -4*u. Solve -k*z + z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110719*q = 110727*q - 112 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53161 + -37111. Does 75 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-10)\/(-4))\/((-1863302)\/143332 - -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -27*j**3 - 2*j**2 - 4*j - 7. Suppose 118 = -2*w + 4*h, 0*h - h + 56 = -w. Let b = 51 + w. Is 38 a factor of p(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274 = -63*b - 915 - 808 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2536 - -2552. Which is the second biggest value? (a) d (b) -14\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2388*c - 9539*c + 2380*c + c**2 - 3*c**2 + 2382*c + 2375*c.\nAnswer: -2*c**2 - 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2. Let a(i) = 4*i**2. Calculate -a(s) + 10*w(s).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6aeea (base 16) in base 6?\nAnswer: -13215430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*t**4 + 2*t**3 + 125*t**2 - 1320 wrt t.\nAnswer: -88*t**3 + 6*t**2 + 250*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 8 = s. Suppose t = 6*f - 2*f + 11, 16 = 2*t - 5*f. Suppose 3*m - 94 = 2*w - 11, 4*m = -w + 96. Solve -m = t*z + s*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 281*d + 2421 - 1297. Let j(c) = c**3 + 4*c**2 + 6*c + 37. What is j(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6779*v = 10237*v - 165984 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 301 and -78.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300 (base 4) to base 12.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3 + 8, 0 = -4*y - 4*d + 12. Let m be (y\/5)\/((-8)\/20). Which is the second biggest value? (a) 2\/31 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) 15 (c) 0 (d) -3\/7 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**4 - 9*f**3 - 2157*f**2 - 10*f + 220995 wrt f.\nAnswer: 8*f**3 - 27*f**2 - 4314*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**4\/2 + 22756*f**3\/3 - 106211*f**2\/6 + 2*f\/3 + 30346\/3 = 0?\nAnswer: -15173, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 423, 1504, 3173, 5358, 7987, 10988, 14289?\n\"Answer: -12*j**3 + 366*j**2 + 67*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*w - 743 - 527 = 0 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/5 - (-13)\/5. Suppose -28 = -f - l*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -9*f - 9. Let b(a) be the first derivative of -3*a**2\/2 - 3*a - 5. Let j(q) = 8*b(q) - 3*k(q). Differentiate j(w) with respect to w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -46*f**6 + 3*f**2\/2 - 11*f + 478. Find the second derivative of d(l) wrt l.\nAnswer: -5520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2996, -2, -9, -1\/6, -3 in increasing order.\nAnswer: -2996, -9, -3, -2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p - 1. Let d(v) = 129*v - 64 + 9 - 12*v + 0 + 19. Let q(h) = -d(h) + 36*l(h). Give q(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563744 is divided by 291.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -59*h**8\/336 - 97*h**7\/210 - 773*h**5\/60 - h**4\/6 - h**3\/3 + 114*h**2 - 2*h - 7. Find the third derivative of z(r) wrt r.\nAnswer: -3540*r**2 - 2328*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 1137?\nAnswer: 11370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3265437 and -0.080496?\nAnswer: 3265437.080496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**3\/6 + w**2\/2 - w. Let u be (9 - (8 - 5))*(1 - 0). Determine y(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*p + 38*p - 4*p.\nAnswer: -53*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/((-644)\/32))\/((-72)\/504)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545 = 5*r - 3*i, 3*r = 8*r + 3*i - 575. Let h = r - 45. What is the remainder when h is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -10. Let g = v - -10.9999997. Round g to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 288 - 110. List the prime factors of v.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 6. Let d(h) = h**3 - 5*h**2 + h - 5. Let f be d(4). Let c(y) = 4*y - 17. What is f*r(o) - 6*c(o)?\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 2:50 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14134 or 2?\nAnswer: 14134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*3*6*1)**2.\nAnswer: 105300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199 - 214 - (1 - 25) - 39.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.4543 to 1 dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 4*m - j, -m = m + j - 33. Let n(r) = -10 - 10 + m - r. Give n(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (0 + sqrt(128) - sqrt(128)))**2 - (sqrt(48)\/sqrt(2))\/sqrt(12)) + -3 + (sqrt(176)\/(sqrt(8)*-1))\/(sqrt(44)\/sqrt(4)*-6) + 3.\nAnswer: -5*sqrt(2)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - u + 5*u)*(-u**2 - 2*u**2 + 4*u**2)*(1 - 2 + 0) in the form o*u + q + m*u**2 + g*u**3 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/(-43*(-17)\/(-7310)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 27*w**3 + 22 - 44 + 30*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(5324) - (1 + sqrt(5324) + sqrt(5324))**2)*-5.\nAnswer: 330*sqrt(11) + 106489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/73322 and 46\/7813?\nAnswer: 953186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 10:00 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 8*w - 47 = 7*w - 14*w, -3*w - 7 - 83 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -159762 - -1591393\/10. Let u = 622 + b. What is the common denominator of u and 73\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114.27 + -576.29. Round v to the nearest 10.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 - 142 + 8735*z + 734*z - 1237*z.\nAnswer: 8232*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 8:21 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3956119?\nAnswer: 3956119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + 7. Suppose 8*o - 14*o + k = 0. Find the first derivative of d + 3*d - 43 - 2*d + 3*d**2 - o*d wrt d.\nAnswer: 6*d - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 88, 187, 324?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -2, -3\/2, -204?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -328228 by 5294.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(405) - (sqrt(405) + -3)**2) - -3*(sqrt(180) + sqrt(180) + 0).\nAnswer: -279*sqrt(5) + 2070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 249181?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1633168 to the nearest integer?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -106.901 - -107. Let z = -0.011 - b. Put 0, z, 1, -1\/2 in decreasing order.\nAnswer: 1, 0, z, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f - 41. Let u be z(13). Suppose 3*c + 22 = 5*c - 4*o, 3*o = -4*c - u. Let m be ((-1 - -2)*3)\/c. Solve 5*n - m*n = 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eis when three letters picked without replacement from sinssssneean?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(7\/6)*n**20)**(3\/5) assuming n is positive.\nAnswer: n**(127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 19 = y - 2, 6 = -2*b + y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**3 - 125*v**2 - 110*v + 240 = 0. What is v?\nAnswer: -24, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2039085.\nAnswer: 3, 5, 113, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 - 6 + d**2 - 16*d + 6*d. Let z be y(-5). What is the units digit of ((-15)\/z + -2)*(-558)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tcsf when four letters picked without replacement from ftfececcecetqfs.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -26*f**2 - 6*f + 2. Let o(i) = -9*i**2 - 2*i + 1. Let c(z) = -5*l(z) + 14*o(z). Let v = -437 - -440. Is c(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 33) + -427 + 442 - -8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 - 3*n - 7. Let k be t(-4). Let y = 40 - k. Let c be -135*(11\/y + -4). What is the highest common divisor of 18 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 39 + 4*j**2 - 27*j**2 - 122 + 83 as p + c*j + l*j**2 and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -447 or 0?\nAnswer: -447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/6 and -50\/13.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 43 = -3*p, -32 = -l - l + 2*p. What is the greatest common divisor of l and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(13) + -2 + -4)*4*-6)**2.\nAnswer: 6912*sqrt(13) + 28224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44061428 and 187188?\nAnswer: 3284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10457428 divided by 6\nAnswer: -5228714\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 - -169. What is the remainder when t is divided by 50\/(0 - 1 - (-3)\/1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207 and 400476.\nAnswer: 1201428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4463 + 4468. Calculate the highest common factor of y and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10304 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -1123, -2912, -5407, -8530, -12203, -16348?\nAnswer: -20887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351 - 65 = -32*f for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 66.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0*b**4 + 2*b**3 + 13\/60*b**5 + 0*b + 0 + 4*b**2. Differentiate g(x) with respect to x.\nAnswer: 26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 275*v - 6*v = 4675 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.16? (a) 0.6 (b) -3 (c) -2\/5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213864 is divided by 53464.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by 32\nAnswer: 31\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.31 + 15.71. Let m = k + -15.399893. Round m to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*k - k**3 + 38*k + 2*k**3 + 5*k**2 in the form p*k + c + v*k**2 + a*k**3 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z = 150. Which is greater: 28 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.33 + -5. Let p = v + -0.23. Let i = -69\/5 - -14. Which is bigger: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -13*v + 1. Let d be a(-14). Suppose -4*m = -d - 373. Suppose -z + m = 2*c - 88, -5*c = -3*z - 595. List the prime factors of c.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -135*m**5 + 11*m**2 + 5*m wrt m.\nAnswer: -8100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-32))*k\/(k**16\/k))**(-2\/3) assuming k is positive.\nAnswer: k**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 divided by -18164?\nAnswer: -109\/18164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -8*d + 1. Let i be y(1). Let o(u) = 4*u - u**2 + 9 - 2*u**2 + 5*u**2 - u**2. Let m be o(i). What is the highest common factor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 0.3021?\nAnswer: -0.3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20007383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -40*y**3 + y + 1. Let a be d(-1). Let s = a - 35. Suppose -o + 13 = 4*z, -s*o + 0*o = 3*z - 48. Calculate the least common multiple of o and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + v + 33 = -14, 0 = -2*j + v - 45. Let h = -10 - j. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 4 - (-288 + 11 + -7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 620\/(-2) + (-17 - -19). Let t be ((-7)\/(b\/8))\/2. Is 0 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 9 = -7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1207 and -0.2.\nAnswer: -241.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -169.1 (b) -2 (c) 6.208 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 5 = 8*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1)*(1 - 7 + 1)*(-w - 3*w + w)*(-3 + 2 + 0)*(2*w - 1 + 1) in the form b + x*w + v*w**2 and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5 = 5*i, -3*i = -i - d - 4. Suppose -4 = -i*x + 2. Suppose x*h = 6 + 36. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 12:52 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 391506499?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**3 + 8*l**2 + 47*l + 218. What is the tens digit of j(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.8 - 3.9. Let x = 7.57 - i. Round x to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 8*n**2 + 7*n. Let r be x(7). Suppose 0*i + 2*v = -5*i, 3*v = r. Let f = -90296 + 90298. Solve i = f*s - 3*s + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2026006 and -0.5?\nAnswer: 1013003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-312)\/(-54))*(-8)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 435899730 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: Suppose h = 2*s - 509, -1 = -10*h + 11*h. What are the prime factors of s?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 33*z**2 + 9 - 3.\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -1.4 (c) 0 (d) 15 (e) -1\/2 (f) 3 (g) 4\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - 3*r**3 + 0*r**3)*(-22*r**2 - 7*r**2 + r**2) - 3*r**5 + 3*r**5 + r**5 + (0*r + 2*r - 4*r)*(3*r**4 + r**4 - 2*r**4).\nAnswer: 53*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(5) + -1) + -2)**2 - (sqrt(125)*1 + 4)**2)*-4.\nAnswer: 100 + 352*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -92 (c) 95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpyy when four letters picked without replacement from pypypptyppytypppy.\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23475 and 101175?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 5:51 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -945287, -1890298, -2835309, -3780320, -4725331, -5670342?\n\"Answer: -945011*k - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -210 + 73. Let t = 139 + i. Which is the nearest to t? (a) -1 (b) 0.4 (c) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*g = 31, 5*u - 14 - 5 = -g. Let f(z) = -u*z**2 - z**2 + 2*z**2. Let j(c) = 6*c. Determine f(j(v)).\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1051, 4180, 9411, 16756, 26227, 37836, 51595, 67516?\n\"Answer: 2*j**3 + 1039*j**2 - 2*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**7\/105 - b**6\/15 - 3*b**5\/5 - 5*b**4\/3 - 7*b**3\/3 - 9*b**2\/5 - 316*b - 2. Factor c(j).\nAnswer: 2*(j - 9)*(j + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**9*u**(1\/4)*u)**40)**(-44) assuming u is positive.\nAnswer: u**11880","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d - 55. Suppose -1 = -3*v + d. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 11 = 1. Suppose 6*q - l*q - 5*z = 156, 0 = 3*z. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 9:57 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 11*s**2 + 7*s - 4. Let x(v) = -v**2 - v. Let l(p) = b(p) + 6*x(p). Let h be l(-2). Suppose -h*n = -18*n + 16. Solve -6 - 6 = n*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83067628, -83067631, -83067636, -83067643, -83067652?\nAnswer: -83067663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.22 + -0.02. Let b(w) = w**2 - 458*w - 1387. Let x be b(-3). What is the second smallest value in -10, v, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308946*d + 308943*d - 2*t = 13, 7*d + 33 = -2*t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -216338991 and -0.1?\nAnswer: 21633899.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 27.6, -6, -2\/5, 7\/2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -534238251 + 0?\nAnswer: -534238251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.005 + 5.8.\nAnswer: 5.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -163918\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 30.6. What is the nearest to 2 in 0, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554*y - 18 = 548*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12308, -24615, -36922?\n\"Answer: -12307*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14592 and 17613?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/13 + 866*q**2 + 22508*q\/13.\nAnswer: 2*q*(q + 2)*(q + 5627)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 78. Suppose -4*q = q. Is 26 a factor of m(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 470\/3 + 21\/9 + -3. Suppose 3*d = 3*m - q, 0*m - 2*m + 112 = -4*d. Suppose 7*a - 10*a + m = 0. Calculate the highest common divisor of a and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 divided by -4?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2219ab (base 12) in base 13?\nAnswer: 15caa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 take away -134?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/21)\/(8\/(-6)). What is the smallest value in -4, 3\/7, w, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 3 - 9 = 0. What is the units digit of 17 + 0 - 3\/q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -13 - (-8 - -12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 15*p = -10, -125 = -3*h + 2*p + 115 - 234 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -16.7 * -4\nAnswer: 66.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 298848293 to the power of 1\/2, to the nearest integer?\nAnswer: 17287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**3\/2 - 2202813*h**2 + 1617364776195*h\/2 + 35586289850034 = 0.\nAnswer: -44, 734293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24167 divided by 3.\nAnswer: 24167\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -19.95*-88\nAnswer: 1755.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 29 * -3.34961\nAnswer: -97.13869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-10)*b\/b**(-2\/29))**(-7\/3))**(-8\/3) assuming b is positive.\nAnswer: b**(-14504\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (43 - (-4 + 2)). Suppose 0 = 3*z - 5*r - 34, -5*r - q = -2*z - 13. Suppose -x + 70 = z*n, -3*x - 4*n + 66 = -2*x. What are the prime factors of x?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 d when four letters picked without replacement from {d: 2, n: 8}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 + -2 + (-654)\/18)*-3.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81789362 rounded to two decimal places?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4\/3 (b) 2\/9 (c) -767 (d) 0 (e) -19 (f) -3.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22250 and 2848?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/46 (b) 1 (c) -35\/72 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*j = 18*j + 14*j + 693. Solve 53*b + 128 = j*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 10 + 13*c + 1\/2*c**2 + 1\/6*c**3. Let o(h) be the first derivative of z(h). Let p(t) = -2*t - 2. Calculate -8*o(a) - 5*p(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 5389.44 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (115\/20)\/(13*13\/676).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/4*(39 - -5). What is the units digit of (-6)\/2*z\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 y when four letters picked without replacement from {j: 3, y: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nannanxnnnannnxnnn. What is prob of sequence nxn?\nAnswer: 13\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 764444240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -19*g - 27, 2*c - 21*g - 8 = -17*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22203330033 (base 4) to base 5.\nAnswer: -1202044110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 6. Let j be (-330 - -3)\/(-4 + b). Let l(x) = 109 - j - x**2. Let q(v) = v. Calculate l(q(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w - 190*w - 1095 = 3497 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -10*c + 3*c**2 + 0 - 17\/3*c**3. What is the units digit of u(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.1394 + 74.487.\nAnswer: 60.3476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 873630 divided by -174726\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4822 - -9453. Which is smaller: q or 4633?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/51480 and 199\/442294710.\nAnswer: 5307536520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1726, 80, -5\/9, -2\/17.\nAnswer: -5\/9, -2\/17, 80, 1726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*g = -5, 2*v - g = -v + 5. Let l(i) = 14*i**3 - i + 1. What are the prime factors of l(v)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - (-141 - -36) - 33) + -126.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (9 - 4) + -13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -39 - 1, -5*t - 38 = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 7:09 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16891793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**3 + 0*i**2 - i**2 - 1 - 2.\nAnswer: 14*i**3 - i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 - d + d)*(-171 + 73 - 305 + (-1 - 2 + 1)*(5 - 2 - 4) - 2 - 1 + 0).\nAnswer: 404*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((1*sqrt(2592)*-2 - (sqrt(2592) - -2*sqrt(2592)*-3)) + sqrt(2592)*-2*-1 + -1))**2.\nAnswer: -360*sqrt(2) + 64801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1039*p**6 - 9*p**2 + 33*p wrt p.\nAnswer: 124680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*m - 68 - 4*m - 2*m**2 + 32*m - 78*m.\nAnswer: -2*(m + 1)*(m + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 4*c = w, 4*w - 7 = c. Put 6, -4, c, 3 in decreasing order.\nAnswer: 6, 3, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-15 + 17)*-9*1. Is 1\/(-4) + (1 - (-56885)\/m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d + 11. Let q(u) be the first derivative of 2*u**2 - 5*u - 17. Let r(b) = 2*f(b) + 5*q(b). Give r(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 132*b + 3830. What is the remainder when j(-28) is divided by 122?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 365*f**2 - 330*f - 2160.\nAnswer: -5*(f - 72)*(f - 3)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-3) + (-8 - (-1 - 7))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7916930 to the power of 1\/2, to the nearest integer?\nAnswer: 2814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13381507 * -0.06\nAnswer: -802890.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.4295 - -2.43. Round u to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 - -26.6.\nAnswer: 26.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2631810 = 182*m - 2634904 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 633 - 633. Let m(k) be the third derivative of 0*k**3 + h + 0*k + 1\/24*k**4 - 5*k**2. What is m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.039 and 3855.72.\nAnswer: -150.37308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*d + 10 - 10)*(-d + 0 + 0 + (-2*d + 2*d + d)*(-3 + 2 - 1) + 0 - 2*d + 0) as y + o*d + v*d**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10951438243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 56*y - 2. Let i be z(28). Let o be (-1 + 5\/10)\/((-1)\/i). Which is the second biggest value? (a) 0.08 (b) o (c) -5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5432053 to the power of 1\/2, to the nearest integer?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 23 + (-7 - (-1 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**7\/504 + w**6\/720 + w**5\/120 + w**4\/24 + w**2. Let p(s) be the second derivative of d(s). Calculate p(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 v, 1 k, and 1 b when four letters picked without replacement from {v: 3, k: 6, a: 3, b: 2, m: 4}?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*47\/2820*(-10)\/4*22\/11.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2280, 17888, 60216, 142650, 278576, 481380, 764448?\nAnswer: 1141166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181515 is divided by 96?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 10 = 5*s, -s + 2*s - 8 = -2*q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - -15102?\nAnswer: 15122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 12:05 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4584 = 2*a. Let y = -805 - a. Let m = 8038 - 8007. Calculate the highest common divisor of y and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28039 - -27971. Sort -86, 2, r in decreasing order.\nAnswer: 2, r, -86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + sqrt(500) + 0 + 4 - ((sqrt(500) + -1)*2 + (1 + sqrt(500))*2 + sqrt(500)))*4 + 4)**2.\nAnswer: -1280*sqrt(5) + 128016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 39546 divided by 9\nAnswer: 4394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 162, 20, 19992 in descending order.\nAnswer: 19992, 162, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 953447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3 - 2*s + 3 + s. Let m be x(-9). Let n = 69 + 12. Calculate the greatest common factor of m and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 656544 by 656544.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*x + 14 + 13 = 0, -5*h = -3*x - 21. Let v(c) be the third derivative of 11*c**4\/24 - 2*c**3 + c**2. What is the units digit of v(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62337 + 62337 - 2*l**2 - 508*l - 402*l.\nAnswer: -2*l**2 - 910*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2282)\/(-56) - (2 + 9\/(-4)). Suppose -252 = 27*k - i*k. Calculate the lowest common multiple of 30 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11651820 and 495?\nAnswer: 384510060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, s: 5, o: 1}. What is prob of sequence sn?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 18 = c. Suppose -3*d = -5*d + 32. What is the lowest common multiple of (c\/(-4))\/((-9)\/(-24)) and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-27)*(-33)\/(-22).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (133 - 190) + (-6 - -32) + 70\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 15*d + 6*d - 15*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 805 - 565 = -23*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -38, -114, -344, -806, -1578, -2738?\n\"Answer: -13*x**3 + x**2 + 12*x - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/12)\/(12\/(-72)) - (-1)\/(-2). Is r > 19.73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11871 + 273031\/23. What is the fifth smallest value in r, -131, 2, -0.1, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 65 - 28 - 28 + 3*g + 0*g - g. Let k(b) = -b - 5. Give -11*k(x) - 6*r(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, u: 8, m: 2, s: 4, f: 2}. What is prob of picking 2 s and 1 w?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**5\/60 - 43*t**2\/2 - 6. Let p(y) be the second derivative of d(y). Let w(c) = 11*c**2. Determine p(w(m)).\nAnswer: 121*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 5:01 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 79629.680168 and -0.4.\nAnswer: 79629.280168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-10) - 115\/(-25). Let q(x) = -4*x + 2. Let m(y) = 9*y - 5. Let o(n) = s*q(n) + 2*m(n). Let d(h) = -2*h. Determine o(d(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 0)*(-9)\/6 - 3. Solve -p*i + 1 = -2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxx when three letters picked without replacement from kcxkxcxkxkxkkxxxx.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -4*g + s, -2*g - 7 = -41*s + 38*s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylh when three letters picked without replacement from {y: 4, h: 4, l: 3}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.1 (b) 3\/4 (c) -48 (d) 16 (e) -1.6 (f) -3\/19 (g) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*r = -278. Let i = -30 - r. Let y = -74 + i. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 1321229330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22.01965 and -4.\nAnswer: 18.01965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -21. Suppose -5*g = -i*g. Suppose -2*b + g*b + 60 = -4*j, 3*j = -2*b + 46. Calculate the remainder when 73 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35066993705.000000127 + -35066993685. Let i = -20 + w. What is i rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34411550.\nAnswer: 2, 5, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 + 13*y**2 + 68)*(-2 + 4 - 3)*(-3*y + 5*y + 6*y)*(1 - 4 + 1).\nAnswer: 208*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 14, -13\/18 in decreasing order.\nAnswer: 14, 3, -13\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 792 and 4884.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 39*r + 10. Let d(u) = -12*u - 3. Let k(l) = 2*a(l) + 7*d(l). Let n(z) = -12*z - 2. Let p(i) = i + 1. Let v(g) = -n(g) + p(g). Give -5*k(j) - 2*v(j).\nAnswer: 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**7\/120 - 5*r**4\/24 - 2*r**3\/3 + 5*r. Let y(q) be the second derivative of p(q). What is the derivative of y(z) wrt z?\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7b - -393a?\nAnswer: 387b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -1\/8 (b) -2 (c) -1 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1112167189 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 319, 318, 317, 316, 315?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n + 5. Let m(j) = -j**2 + 7*j - 6. Let q be m(n). Let g = 37 - 34. Solve -i + 27 = -q*y - y, g*i = 4*y + 26 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**3\/3 + 226. Let p(r) = 5*r + 0*r - 4*r. Determine s(p(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -233199367545862 take away -1?\nAnswer: -233199367545861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 61531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1721*765.\nAnswer: -1316565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 + 37 = -7*l. What is the least common multiple of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, n: 6, h: 1}. What is prob of picking 2 j?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**3 + 36*p**2 - 96*p + 64 = 0. What is p?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 79854479 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 2. Let d be 0\/7*1\/2. Let k be w(d). What is the closest to k in 1\/4, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 4*a + 4*z + 17, 4*z + 12 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-135)\/(-45) + 1 + -111. What is the units digit of (38 - 35)\/((-3)\/p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 29. Let p(i) be the third derivative of i**2 + 0 + 0*i**4 + 1\/270*i**a + 0*i**3 + 0*i. What is m in p(m) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.1 + -3748?\nAnswer: -3781.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33.88395 nanometers?\nAnswer: 0.00003388395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2360302 microseconds to milliseconds.\nAnswer: 0.0002360302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(-37)*(l**(1\/2)*l)\/((l\/(l\/(l*l**(5\/4))*l))\/l) assuming l is positive.\nAnswer: l**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r - 13. Let t(i) = i**3 + 38*i**2 - 121*i + 86. Let w be t(-41). Let m(k) = 3*k + 6. Determine w*s(c) + 9*m(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34867851 to the nearest integer?\nAnswer: 5905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -36 - 84. Let y = 58 - w. Solve y = 4*i - 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 631*j**3 - 2*j**2 + 4*j. Let y(i) = -125571*i**3 + 399*i**2 - 798*i. Give -399*c(x) - 2*y(x).\nAnswer: -627*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10438 divided by -5\nAnswer: -10438\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 + 3 + 6 + -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -2\/19, 0.2, 290 in ascending order.\nAnswer: -2\/19, 0.2, 3, 4, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440095.2 kilometers to centimeters.\nAnswer: 44009520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d + -166?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-12) + 130\/(-195)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from ryrsoosysroroooyorrr?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178737338.\nAnswer: 2, 13, 1423, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 4*g - 3. Give n(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6 + ((-38)\/12 - 2305\/(-922)). Is g not equal to -3\/12440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/67896 and 143\/56580.\nAnswer: 339480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/161076 and -31\/223428?\nAnswer: 6926268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/260*(-1248)\/192?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3301405?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-4\/9))\/x*x*x*x**(-22))**(6\/5))**(-48) assuming x is positive.\nAnswer: x**(5888\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12168)\/(-14))\/(32\/112).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 69 = n + 2*n, 3*p - 7*n = 15. Let a = 21 + -3. Suppose 0 = 3*g - 12 - a. Calculate the smallest common multiple of p and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-12 + 3) - 0 - 19.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -11*m**2 + 11*m**2 + 2*m - 4*m**3 + 2 - 3*m**2. Let u be v(-3). Let w = -70 + u. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*q + 176*q = 1020. Let r(h) = -24*h**2 - 3. Let t(o) = 168*o**2 + 20. Calculate q*r(g) + 3*t(g).\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*(-4*sqrt(187) + sqrt(187)))\/(-1*sqrt(121)\/(sqrt(11)*-2)).\nAnswer: -144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 1, -4\/3, 0 in ascending order.\nAnswer: -4\/3, -0.04, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14278 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*j + 118*j - 477 + 477.\nAnswer: 188*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022205 divided by 204441?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i + 7. Let x be u(1). What is the first derivative of 238*q**3 - 4*q**2 - 31*q**2 + 44 - 240*q**x wrt q?\nAnswer: -6*q**2 - 70*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -5*z + 136. Let o be (z\/((-51)\/(-6)))\/(0 + -7). Which is the biggest value? (a) 0.1 (b) 4 (c) 1 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**3\/3 - 3*g**2 + g. Let c be q(4). Is 2 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -659*a - 3. Let p be g(-7). Let t = p + -64597\/14. Find the common denominator of t and 41\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - (-26247)\/585) + 5\/(75\/62)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 21*g - 34. Solve g*f + 4*m - 1 = -5, f + 9 = -5*m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 2)*(7 - 2*m + 6 - 4*m) as o + v*m and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 21, -204, -715, -1608?\nAnswer: -2979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 233295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, k: 4, q: 1}. What is prob of sequence ccqc?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f - 25. Let l be v(-6). What is the tens digit of (10 - l)\/(2\/(-34))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.72931111 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -761*w**6\/30 + 431*w**4\/3 + 193*w - 2. Find the third derivative of k(d) wrt d.\nAnswer: -18264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 14556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 105*j - 525. Determine o(47).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 33505*t**2 - 2. Let h(y) = -98*y. Determine w(h(v)).\nAnswer: 321782020*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136.70694 + 136.6. Let u = r + 0.0691. Let w = 0.039 + u. Round w to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(243) + (sqrt(243)*1)**2*-1 + (-3*sqrt(18)\/sqrt(6)*6)**2).\nAnswer: 27*sqrt(3) + 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 24*a**2 + 28*a + 79. What is k(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 28 + (-8 - 7) + (28 - -5) - 12\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 (base 15) in base 4?\nAnswer: 20102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1209 = -23*v + 884. Suppose -v = -4*z + 361. What are the prime factors of z?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 687 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 6*j**2 - 4*j + 1. Let c be 5 - -1*(1 - 1). Let b be t(c). Suppose 5*d + 4 = b*d. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-9))\/((-36)\/(-72))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 divided by -195?\nAnswer: -362\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 24*q**2 - 9*q + 8. Let t be (-2 - -2) + (-2)\/(-2) - -1. What are the prime factors of g(t)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -71bb3?\nAnswer: -71bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1765, -3481, -5197, -6913, -8629, -10345?\n\"Answer: -1716*h - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36ab4 (base 16) in base 12?\nAnswer: a9704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 9:38 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47492 is divided by 37?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2*v**3 + 3*d**2 - 12406*d - 2435*v**3 - 4*v**2 with respect to v.\nAnswer: 3*d**2*v**2 - 7305*v**2 - 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzpzzpzzipipzzpzzzz. Give prob of sequence pp.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**3 + y**2 + y + 1. Let b be h(-1). Suppose 4*x = b*x - 32. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**5 + 12*r**4 - 5350*r**3 - 37712*r**2 - 59331*r - 26980 = 0?\nAnswer: -76, -5, -1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.062 - -5.062. Put 3, 4\/5, f, -1\/4 in decreasing order.\nAnswer: f, 3, 4\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*c - 7*c + 5008 - 1190 = -862 for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2370195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-4)*4\/(-6). Suppose -69*l = -79*l. Is y at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7974*i**6 + i**3 + 45106*i**2 wrt i?\nAnswer: -956880*i**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**4 + 56*y - 56*y + (-2*y**3 - y**3 + 5*y**3)*(-4*y + 4*y + 2*y).\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -3)*(5 + -10). Let t(c) = 2*c**3 + 2*c**3 - 2*c**3 - c**3 + 5 + 12*c**2. Let q be t(-12). Solve -5*v = 5*h + 15, -q*v + 0*v = -g*h + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 34551?\nAnswer: 34543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/109117?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -21*b + 6. Let l be j(-4). Let o = -16 + 26. What is the highest common factor of o and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - j**2 - 1. Let c(p) = -6*p**3 - 5*p**2 - 4*p - 5. Let h(w) = -2*c(w) + 10*s(w). What is the second derivative of h(l) wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1972\/3 - -181457\/276. Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - (-8376)\/16)*(-2)\/3. Is 23 - 21 - -2*n\/(-2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 9:34 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -45*p + 5. Let z(g) = g - 1. Give h(v) + 4*z(v).\nAnswer: -41*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 906.4266um to meters.\nAnswer: 0.0009064266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minus -46416?\nAnswer: 46558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**3 + y + 1. Let t be x(-1). Suppose -t*o + 32 = -o. Suppose 4*b + 14 = 5*f - o, -4*f - 4*b - 4 = 0. Which is bigger: 3 or f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3419, 28528, 96687, 229424, 448267, 774744?\n\"Answer: 3588*t**3 - 3*t**2 + 2*t - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 146*o**2 + 9*o + 202. Let g(c) = 146*c**2 + 12*c + 200. Let u(i) = -3*g(i) + 4*t(i). Differentiate u(p) wrt p.\nAnswer: 292*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 616\/(-16)*(13\/39)\/(24\/144)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 65 = -5*b - 9*v, -4*b + 2*v = -13533 + 13585 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3493576?\nAnswer: 2, 31, 14087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 0.3 (b) -2 (c) -3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*c + 8380, -7*c + 20 = -11*c. Does 28 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-6)*(-10384)\/(-24). Let y = u - 230. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254804561 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000650692 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 248738 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3382 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: Let c = -0.924 + 1.224. What is the closest to -2 in 2\/11, c, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 186515897, 186515890, 186515869, 186515828, 186515761?\n\"Answer: -g**3 - g**2 + 3*g + 186515896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25, 108, 247, 442?\n\"Answer: 28*f**2 - f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/(-24))\/(-2*(-4)\/(-8)*7)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -10879c21?\nAnswer: -10879c24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4127*b**2 + b + 6005*b**2 + 19312*b**2 + 22. Let c be x(-6). What is c rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - k**2 + 6. Let f(g) = 23*g + 1. Let i be f(1). Let h be 6\/i + (-2)\/8. Let o be l(h). What is the greatest common divisor of o and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elle when four letters picked without replacement from elelleleleelllel?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1136247 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14941345?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**5 - 4300*g**4 - 414312*g**3 - 13614496*g**2 - 150062080*g - 136857600 = 0.\nAnswer: -972, -40, -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 5. What is the third derivative of -2 + p - 6*y**3 - 5*y**2 - 4 wrt y?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 12*d**2 - 41*d**2 + 9*d**2 + 23*d**2. Let x(y) be the third derivative of -y**4\/8 + 4*y**2. Give x(z(c)).\nAnswer: -9*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167 divided by -7.\nAnswer: 167\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from {y: 4, v: 6, s: 2, q: 2, p: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 + 42*l**2 + 2*l**3 - 50*l**2.\nAnswer: 4*l**2*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 13 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -71\/2. Determine v, given that -3\/2*v**2 + 3\/2 + 3\/2*v**3 - y*v = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 21*y - 8. Let b be 3\/18 - (-6215)\/(-678). Let s(h) = -5*h + 2. Determine b*s(w) - 2*i(w).\nAnswer: -2*w**2 + 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 1.8, 0.2, -0.27?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-4) - 24\/(-16). Suppose -2*a - d*a = -5. Let z be 6\/24 - a\/4. Solve l = -z*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182502 is divided by 3201.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqxwxwww. What is prob of sequence qqxw?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l*s**5 - 3*l*s**3 - 2*l*s + 192*l + 65*s**2 wrt s?\nAnswer: 40*l*s**3 - 18*l*s + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -237.7 - -238. Put 1, 0.4, 1.4, f in increasing order.\nAnswer: f, 0.4, 1, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76887 is divided by 105.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 111, 2 in increasing order.\nAnswer: -2, 2, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 404 - 4?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u + x + 19, 4*u = -3*x + 80. Let l(a) = -u - a + 17 + 9. Calculate l(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 18 = y - 26 + 18 - 24, -3*z = 3*y - 141 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxxg when four letters picked without replacement from {p: 1, d: 1, g: 1, x: 4, c: 9, y: 1}?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + sqrt(242)*2 - (sqrt(242) + (sqrt(242) - -5*(sqrt(242) + 0)))) + -1)*-2*1)**2*-3.\nAnswer: -73032 - 7920*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, 4, 990, -23.\nAnswer: -23, -8, 2, 4, 990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17261976 and 7416?\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.5434g in kilograms?\nAnswer: 0.0195434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1523\/22 + -205\/3. Let f = -5\/22 + q. Put f, 1\/4, -0.2 in descending order.\nAnswer: f, 1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 137208302 and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-9) - (1493792\/(-12) + 2\/1). What is u rounded to the nearest one thousand?\nAnswer: 124000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1906 smaller than -1901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10198539 and 26130.\nAnswer: 101985390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -124.7 and -0.57.\nAnswer: 71.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60586 is divided by 171.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10209570 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-13)\/195)\/((-2)\/(-82)) and -21\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 268 and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -543?\nAnswer: 543.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.804 in -108, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -1\/1739892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 57\/(-9)*-6*2\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 139 - 35?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1065382 (base 12) to base 9\nAnswer: 5774218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**2 + r**2 - 5*r**2 + (3*r + 2*r - 7*r)*(-521 - 47 - 21)*(-r - 4*r + r).\nAnswer: -4713*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 17*r**4\/12 - 19*r**3 + 131*r**2. Let n be y(11). Calculate the highest common factor of 156 and n.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(4\/(-6) - -2). Let w = 17 + t. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**3 + 5*i**2 - 2*i. Let u(l) = 6 + 17*l - 1 - 5 - 16*l + 1. What is -o(h) + 10*u(h)?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uriuqup. Give prob of sequence uui.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119955650 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 89 * 0.187574\nAnswer: 16.694086","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1145774.\nAnswer: 2, 7, 223, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + (-11 - 1243\/(-154)))*-4. Is k at least 134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s = 8*s + 189 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - v + 9 = 0, -2*p - 3*v + 8 = -15. Let k be ((-14)\/(-35))\/(p\/5). Which is the closest to 0.1? (a) 2 (b) k (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24133786.\nAnswer: 2, 12066893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62 - 72 - -115) + (2 - (0 - -1)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 7*g - c = 98, -3*g + 2*c + 94 = 0. What is the greatest common divisor of g and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 938183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 169 = -3*p, -n = p + 2*p - 149. Suppose 4*x - 52 = p. Solve 4*a + a = -x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p**(3\/5)\/p)\/p*p*p)**(-38) assuming p is positive.\nAnswer: p**(-494\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*g - 901 = -6*g - 9*g. What is the greatest common factor of g and 9469?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 3*n - 0*n - 20, 0 = 3*w + 5*n - 22 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 less than -666?\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 8 = -c, -140 = -1361*c + 1356*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 12 = 5*g, 3*o + 0*o - g + 52 = 0. Which is smaller: o or -222\/13?\nAnswer: -222\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - v = -0 - 1, 4*o - v - 24 = 0. Suppose n - 2*l = 218 - 2, o*l + 1065 = 5*n. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a second in milliseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 8*d = -10. Let u be (-417)\/(-6) - d\/(-5 - -1). Let f = u - 42. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151546684?\nAnswer: 2, 457, 82903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/(u\/(u*u\/((u\/u**(-2))\/u))))*u)**(-46)*u**5*u*u*u**(3\/11)*((u**3)**35)**(-10\/13) assuming u is positive.\nAnswer: u**(-30244\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2013.\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjnjjjkkjn. What is prob of sequence kjj?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 7*g**2 + 6*g - 1. Determine p(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-28)\/9)\/((-10)\/3). Let p = -19\/15 + l. Let q = -13\/12 - -3\/4. Which is the nearest to q? (a) -0.5 (b) 0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 3, -0.4, 3\/151?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111341, 445137, 1001463, 1780319?\nAnswer: 2781705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t + 2*g - 37955 = 0, -5*t - 3*g = -189761. Suppose -16*r - 9615 = -t. What are the prime factors of r?\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**4\/4 - 7*k**3\/3 - 9*k**2\/2 - 8*k + 6. Let a be j(-6). What is the highest common factor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/2)\/(8\/(32\/(-6))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 1861418?\nAnswer: -3722836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z + 14*z + 18*z + 20*z - 58*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 12:39 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14368\/16779 - -2\/2397. Factor 3\/7*o**2 - r*o + 0 + 3\/7*o**3.\nAnswer: 3*o*(o - 1)*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 10*b + 5. Let r be k(-7). Let u = -21 + r. Solve -u*d - 3 = 2*c, 2*c - 11 = -3*d + 4*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**4 - 2*b**3 + 16482*b**2 + 38*b - 10653 wrt b.\nAnswer: 12*b**2 - 12*b + 32964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*k + 14 = 7*k, 8 = g + 3*k. Suppose 12 = 2*d + 4*y, -g*d + 3*y + 9 - 18 = 0. Let c be ((-1)\/(-2))\/(2\/4). Solve -r + c = -d*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q - 25, -q + 5 = 5*l. Suppose -2*m - 5*s = 0, -2*m + 5*s + 20 = -l*m. Suppose -22 = -m*h - 2. Calculate the remainder when 11 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*q - 84*q - 15 = -5*v, v = -3*q + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 36 = 4*n + 28, 28*n - 30 = -a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 + 94. Suppose -m*k + 209 = -5*k. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -350 minus 6.687?\nAnswer: -356.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392519.\nAnswer: 392519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-2)\/(-68)*2). Let m be k\/(-20) - (-2)\/5. Let x(v) = -v**2 + 9*v - 3. Let o be x(9). Which is the third biggest value? (a) o (b) m (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4306335157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6751927, 6751923, 6751919, 6751915, 6751911, 6751907?\n\"Answer: -4*f + 6751931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2552327245\/208411524 + -14078\/42257. Let b be 415\/1233 - 2\/6. Let f = a + b. Find the common denominator of f and 62\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 - (-24 + (-17 - -29)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**8\/20160 + h**7\/1260 - h**6\/180 - h**5\/60 - h**2. Let o(s) be the third derivative of w(s). Let z = 2 + 2. What is o(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18847d (base 14) in base 8?\nAnswer: -3237237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/7519689 and 53\/1198791?\nAnswer: 82716579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 27. Calculate the remainder when (j\/(-4))\/4 - -41 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**3\/3 + 3*i - 2. Let z(v) be the first derivative of w(v). Let h(g) = 2*g**2. Give z(h(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 228 = 5*y + 3*q, 0 = 3*y - 4*q - 131. Let g be y\/(-6)*(-4)\/(-3). Is 12\/g*(-220)\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3206694 is divided by 413?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20285 divided by -253?\nAnswer: 20285\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a22 (base 12) to base 2.\nAnswer: -110001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 767 * -6.6\nAnswer: -5062.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 4*t - 5*t - 3*t + 4*t + 0*t + (2*t + 0 + 0)*(-2 - 3 + 4) + 0*t + 2*t + 0*t)*(6 - 2 - 2)*(2 - 2 - 2).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1923690\/7 + 274813. Factor -1\/7*h**4 + 0 - w*h**2 + 2\/7*h**3 + 0*h.\nAnswer: -h**2*(h - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by -109?\nAnswer: 46\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 15*k. Let c(d) = 5716435*d**2. Calculate c(o(x)).\nAnswer: 1286197875*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -98, -110, -136, -182, -254?\n\"Answer: -j**3 - j**2 - 2*j - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 116954125 divided by -23390825\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 7 = -37. Suppose 3*d - 7 = -3*o - 19, 0 = 3*o + 15. Let s be ((-22)\/n + d)*-3. Solve 3*a - 3*k = -4*k - 16, -2*k - s = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 0*l - 63\/2*l**2 - 94 - 1\/3*l**3. Let j(s) = 2*s**2. Give q(j(a)).\nAnswer: -4*a**4 - 126*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3484827*a**3 - 15*a - 194296832.\nAnswer: -10454481*a**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17244)\/(-56043) + (-694)\/(-26).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwbwibbiisiriwiww. Give prob of picking 2 b and 1 r.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 27*t**2 - 28*t - 6. Let n be 2370\/(-75) - -4 - (-2)\/(-5). Determine o(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1. Suppose 2*x = 4*g, 3 = 2*x + 11. Let c(v) = -v - 2. Let t be c(-6). Sort t, g, z in increasing order.\nAnswer: g, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, 3, -187, 60, 1, -36 in ascending order.\nAnswer: -187, -36, -5, 1, 3, 8, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*o - 4*g, 0 = -4*o + 5*o - 2*g + 4. Put 3, o, -13 in increasing order.\nAnswer: -13, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*q - 11. Suppose -12*t = -q*t. What is the units digit of t + (-4 - (-76 + -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (10 + -2 - (-14 - -15 - 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1426*i + 7153. Give j(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 151 + (-2)\/(-2)*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5407 - 5406. Suppose -9 = c + 2*c. Put h, -1, c in decreasing order.\nAnswer: h, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g\/(g**(-2\/15)*g*g)*g)\/g)\/(g\/(g*g**(7\/2))))\/(g**(-1\/4)\/(g**(-3\/7)\/g*g)))\/((g**0)**(-1\/10))**3 assuming g is positive.\nAnswer: g**(1451\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2239\/20 - 558\/5. Let m = -36\/25 - 2403\/50. Calculate the common denominator of w and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10836)\/(-516))\/((-2)\/4*(-10)\/(-5)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/200640 and 47\/7296.\nAnswer: 401280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/3 + 6*n**3 - 36*n**2 + 158*n\/3 - 23 = 0.\nAnswer: -23, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-128)\/(-24)*21\/10*(-20)\/(-56)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 396313979*m**4 + 98417670*m wrt m.\nAnswer: 4755767748*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50806539677\/88 - -577334420. Let h = d + 12621. Calculate the common denominator of (-2)\/(-7) - 667\/(-140) and h.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f*w**2*x + 10337*f*w**2 - 2*f*w*x + 18158*w**2*x + 2*w*x - 2*w wrt f?\nAnswer: w**2*x + 10337*w**2 - 2*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = y - 14, 3*y = 2*m + 17 + 4. Suppose -y*p = 0, z - 3*p - 1 = 7. What is the first derivative of -10 - 9*t + 7*t - 3*t - z*t wrt t?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -28. Let q be (6\/z)\/(2\/9). What is the third derivative of -2*j**2 + 3*j**q + j**2 - 2*j**3 wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3 + 7*f**2 + 7*f + 4 + f**3 - 2. Let n(j) = -69*j**2 + 346*j - 11. Let u be n(5). What is x(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 1 - 5, -4*b + x = -4046. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 + -38. Suppose -2*p + u = -16. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90132)\/6993*3*6\/(-4)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1836\nAnswer: -5\/1836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 5 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (225290\/(-5199))\/(2\/1).\nAnswer: -65\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 3100?\nAnswer: -3105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812 is divided by 38.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 7*m - 72. Let c be k(12). Suppose -c + 790 = 7*i. Let q = 102 - -39. What is the greatest common divisor of i and q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cirhddccgrr. What is prob of picking 1 r, 1 c, and 1 i?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-212)\/6)\/(32\/48). Round m to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-275.5\nAnswer: -82.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (-360)\/(-92) + -15 + 8060265\/345 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*s, 4*i = -4*s + 4 - 0. Sort 5, 3, s in ascending order.\nAnswer: s, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 1948*v**3 + 79464*v**2 - 1101520*v + 5114816.\nAnswer: 2*(v - 932)*(v - 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4404.6385*-0.05.\nAnswer: 220.231925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -907474, -1814918, -2722362, -3629806?\nAnswer: -4537250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08 - -70.4699.\nAnswer: 70.5499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37200 and 388747440?\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23258 and 928?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94923 is divided by 2260.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5008072 to the nearest integer?\nAnswer: 2238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*a**3*u - 3*a**3 - 22*a**2*u - a**2 + 66227*a*u wrt a?\nAnswer: -390*a*u - 18*a - 44*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-11) + (-7820)\/(-187). Let t be w\/(-273) - 14066004\/(-26). Round t to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 90*m + 1004. What is r(-9)?\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (107 - 57 - 58)*(h + 0*h + 0*h) - 2*h - 2 + 2 + (-6*h + 0*h + h)*(1 - 5 + 3) in the form v + u*h and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 1474, 0.09, 1\/8, 640\/7?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from maamaaymymammymyamya. What is prob of sequence amym?\nAnswer: 49\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*3*(0 + sqrt(9)\/sqrt(3)) + 4 + (sqrt(75) - (-5 + sqrt(75) + sqrt(75)*1 - sqrt(75))))*-1)**2.\nAnswer: 324*sqrt(3) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -37, 6 in ascending order.\nAnswer: -37, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = 5. Suppose o + i - 4 = 0. Let j(u) be the second derivative of u**5\/10 + u**4\/4 - 9*u. Calculate j(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2369786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 859376479 to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 638 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, w: 4, n: 6, r: 4}. Give prob of picking 4 s.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2\/3 - 64*r\/3 + 68\/3.\nAnswer: -4*(r - 1)*(r + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(200))**2 + 1.\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*(-2*sqrt(112) + sqrt(112)) - sqrt(112)).\nAnswer: 112*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 653, 1308, 1965, 2624, 3285, 3948?\n\"Answer: x**2 + 652*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33907870900 rounded to the nearest 1000000?\nAnswer: 33908000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80129 is divided by 1382.\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohm when three letters picked without replacement from ohmlm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 8:56 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (3 - 5 - (-5 - 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-60)\/50*(-9 - 92\/(-8))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**8\/26880 + j**6\/2880 + j**4\/12 + 3*j**2. Let b(g) be the second derivative of f(g). Factor b(v).\nAnswer: -v*(v - 1)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20, 26, 32, 38?\n\"Answer: 6*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -0.2, 1\/2, 83766, -88, -0.02?\nAnswer: 83766","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -17*d - 651. Let j be o(-40). Solve 35 = -6*z + j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c0cb6 (base 15) to base 10\nAnswer: -610371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169 = -198*d + 2545 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.50652766 + -6.50652858. Let y = 5 + 1. Let q = y + w. What is q rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 0. Is 6\/25 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6 - 88\/12. Let t(a) be the second derivative of -a**5\/120 + a**3\/2 - 8*a**2 + 2*a - 3. Let w(q) be the second derivative of t(q). Calculate w(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.226 + -0.053. Let s = v - -0.359. Which is the smallest value? (a) s (b) 2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j**2 + 1766 - 70*j**2 - 1768 in the form u*j + v*j**2 + b and give v.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 8*x**3 - 3*x**2 + 5*x - 3. Let u(c) = -c**3 + c**2 - c + 1. Let g be (1 + (-25)\/30)*4*6\/4. Let k = -2 + 7. Calculate g*a(z) + k*u(z).\nAnswer: 3*z**3 + 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (90 - -8)*(-6 - (-330)\/54)*(-72)\/16?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 5:18 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 10}. What is prob of picking 2 k?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h - 47. Let j be ((-280)\/(-50))\/(6\/(-30)*(3 + -1)). Calculate m(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -511\nAnswer: -6132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84726 = 45*i - 72*i. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -16606, 135 in decreasing order.\nAnswer: 135, -4, -16606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*x**5 + 363*x**4 + 1218*x**3 + 1203*x**2 + 342*x = 0. What is x?\nAnswer: -57, -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/4 - 94*y**3 + 9204*y**2 - 69184*y + 135424.\nAnswer: (y - 184)**2*(y - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c - 1. Let r(n) = -n**3 - 9*n**2 - 4*n + 15 - 8*n**2 + 10*n**2. Let w be r(-6). Suppose -2*h + 7*h - w = -3*q, -4*q + 18 = 2*h. What is a(q)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3036276 - 53?\nAnswer: 3036223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 12:30 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41823940*o**2 + 64889299 wrt o.\nAnswer: -83647880*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/((((x**(2\/3)\/x)\/x)\/x)\/x)*x)**(-8))**(-2\/71) assuming x is positive.\nAnswer: x**(352\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 44*w - 10 = -48*w, 4*g + w - 10 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 23 = 5*c, -4*c + 7*m - 269 + 309 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -147 + 118. Let j be (-2)\/(r\/(-5) - 6). Solve 5*t = 5*z + j, 0*z + 2*z = 4*t - 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*11951478.\nAnswer: 47805912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (5 - 9) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + i**2 - 2*i + 2. Let k(o) = 6*o**3 + 10*o**2 - 4*o - 4. Let w(l) = -k(l) - 5*s(l). Give w(-16).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -197, 7, 90, -4 in ascending order.\nAnswer: -197, -4, 7, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-666)\/4*-1. Let b = -329 - x. Solve -n - 7 = 2*n - b*v, 5*n = -5*v - 35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**2 - 165*u + 329. Let t be x(-43). Solve -99*g - t = -113*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -318192.969 + -0.7.\nAnswer: -318193.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 10*q**2 - 7*q - 8. Calculate c(-10).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -10. What is the remainder when g is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/65)\/d**(-6\/25))**(11\/7) assuming d is positive.\nAnswer: d**(748\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**3\/3 - 11*j**2 + 23*j - 31. Let c be f(21). Let l be 3*(16\/(-6) + 2). Put c, l, -1 in decreasing order.\nAnswer: c, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -879*f*m**3 + 222*f - 332738*m**5 + 421073*m wrt m.\nAnswer: -5274*f*m - 6654760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2033947.\nAnswer: 523, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b21 + -130?\nAnswer: -2c51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/29 + -13\/116. What is the third biggest value in 5, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1 = -3. Let q be -9*(2\/(-14))\/(102\/238). What is the second derivative of -18*t**s + 18*t**2 + 12*t**3 + q*t + 9*t**3 wrt t?\nAnswer: 126*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -520355 - -1?\nAnswer: -520354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 619939730 to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*g - 60, -31 - 81 = -5*g - 3*m. Let o = -16 + g. Suppose -o*z + x = -21 - 36, -5*x + 60 = 3*z. Solve -v - 4*f = -21, v - 4 + z = 4*f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 at most as big as 145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 1:36 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times -0.0775?\nAnswer: -1.3175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**2 + 176*b + 54. Calculate x(-36).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.22 - 14.78. Let n = 621583059 + -621583044.00000045. Let t = n + x. Round t to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/62)\/(18\/544 + (-333)\/5328) + 5?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 767 and 265603.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 25*o**2. Let s(x) = -20*x**2. Determine s(d(y)).\nAnswer: -12500*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 7 = -3*k, k - 3*h - 5 = -6. Find the second derivative of -2022*a**4 + 2048*a**4 - 30*a + k*a wrt a.\nAnswer: 312*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -9, 18 in decreasing order.\nAnswer: 18, 6, 5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(((c*c\/(c**(-1)\/c))\/c)\/c)*c*c\/(c\/(c\/(c\/((c\/(c\/(c\/c**(-1\/19)))*c)\/c))))*c)**(-3) assuming c is positive.\nAnswer: c**(-117\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2179 + -1939. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 5*c**3 + 0*c)*((c**2 - 1 + 1)*(2 - 4 + 1) - 2*c**2 + 0*c + 0*c + (3*c - c - 4*c)*(7*c + 4*c - 3*c)).\nAnswer: -95*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1304*y - 3146 = 1447*y for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -110, -251, -448, -701, -1010, -1375?\nAnswer: -1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6960268 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 2*t - 35 = 0. Let v = 5 - 7. What is the remainder when 29 is divided by (-116)\/(-14) + v\/t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 410830 and 5110.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -4 - (16 - 7 - 13)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o + 13. Let y(m) = 3*m - 8. Let k(n) = -2*n + 4. Let s(z) = -7*k(z) - 4*y(z). Let t = 8 - 6. Give t*h(r) - 7*s(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 r when three letters picked without replacement from {s: 1, e: 4, f: 2, r: 3, n: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millennium in months?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1574, 2653, 3240, 3335, 2938, 2049, 668?\nAnswer: -1205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -36. Suppose -5*b = 5*d - w, 4*d = b - 2*b + 12. Suppose -3*j = d*j - 90. Calculate the highest common divisor of 72 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 12:26 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 886725433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.315 + -0.464. What is v rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -35 (b) 5 (c) -2 (d) -5 (e) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/13))\/(p*p*p*p*p**(-2)\/p*p))**(-29) assuming p is positive.\nAnswer: p**(435\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*v - 137, 8*v = 13*v + 5. Let z = 234 - b. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - -301?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2193, -3\/7, -11\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21412*d*t**2 + d*t + 12763*d wrt t?\nAnswer: -42824*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 216\/32)\/1\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t - 25. Determine w(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -292, -590, -1006, -1540?\nAnswer: -2192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 - 12*s - 1. Suppose 60*f + 30 = 65*f. Let a be u(f). Let d = -469\/38571 - 1\/299. Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 36. Let n = g - 4. Suppose -m + 8 = -n. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 65*h**2 - 2*h - 1. Let s be z(-1). Suppose 5*w - 2*c - 56 = s, 2*w + c = 56. What is the greatest common factor of 39 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15300, 15408, 15514, 15618, 15720, 15820?\n\"Answer: -g**2 + 111*g + 15190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*b - 3. Suppose -2 = 3*c + 2*c + 4*y, b*c = -5*y + 6. Let h = c + 8. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 14*m + 20. Let u(x) = -x**2 + 8*x - 5. Let z be u(7). Suppose 7*l - 2*l = -2*r - 62, z*l = -2*r - 20. Does 5 divide n(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**16*w*(w\/((w*w**(9\/5))\/w))\/w)\/(w\/(w*w*w\/(w*w**9)*w*w)*w*w\/w**(19\/5)) assuming w is positive.\nAnswer: w**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*u = 215*u - 413*u - 2*o - 2, 9 = -3*u - o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 139*i**2 - 10*i + 11. List the prime factors of f(3).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 19. Let v(u) = 2*u + 4*u**2 + 2*u**2 - 2*u**2. Let k(y) = -9*y**2 - 5*y. Let h(j) = p*v(j) - 2*k(j). Let r(b) = -8*b**2. Calculate r(h(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 41*w**2 - 47*w - 1684. Give g(43).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/4 - 1\/2. Let w = -2 + 2. Let j = o - w. Sort j, 2\/5, 2 in decreasing order.\nAnswer: j, 2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 33, -9 in increasing order.\nAnswer: -9, -5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**2 + 0*a**2 - 4*a**2 - a**2 + 1 - 1 + (-6*a + 2*a + 2*a)*(11 - 11 - 3*a) + 23 - 7 - 14 + 8*a**2 as n*a**2 + b + d*a and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3106*h + 3050*h - 392 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 262942153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 11*b - 28. Let o = 40 + -26. Let l be g(o). Find the second derivative of 27*q - 12*q**2 - 6*q - l*q wrt q.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 15105538 and 15105522 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16981 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -22 + 14 + -39.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(187) - (-1*sqrt(187) + sqrt(187))))\/(sqrt(55)\/(sqrt(10)\/sqrt(2))).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in -0.3, 2\/5, 2, -3\/50, -38, -0.2?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 28 = -5*t. Let n = -28 - -43. Suppose -2*s = -o + 12, -o = -2*o + 3*s + n. Which is greater: t or o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 6*z**2 - 2*z - 6. What is r(6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72794 by 7.\nAnswer: 72794\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 6*s**2 - 10*s - 7. Let r be w(-7). Solve 4*t**2 - 12 - 5*t - 2*t**2 + r = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 6*d**2 - 3*d + 2. Suppose -3*s + 2*s = 2*q + 14, 3*q = -s - 19. Calculate the remainder when r(q) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125054 or 0.86?\nAnswer: 125054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.6, 3\/4, -5, -4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*r - 2 + 84*r - 184*r to g*r + f and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**4 + 1252204*d**3 - 196004361594*d**2 + 784002419992*d - 783997411208 = 0.\nAnswer: 2, 313049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 18*j**2 - 10*j**2 - 14*j**3 - 7*j**2. Suppose 3*a + 1 = 4. Calculate q(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (5 + 10 + -3 - 10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054871 times 0.1?\nAnswer: 0.0054871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1012862*h**3 - 14435227*h.\nAnswer: 6077172*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3\/7, 0.07, -2\/5 in increasing order.\nAnswer: -2\/5, 0.07, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 5*p - 198 + 712, 5*p + 494 = 4*h. Suppose 2*l + 0*j - j - 28 = 0, 4*l + 3*j - 56 = 0. Calculate the highest common factor of l and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497411 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24103, 40196, 56289, 72382, 88475?\nAnswer: 104568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*o - 10 = -o, o - 3 = 0. Solve 2*y - 2*a - 8 = -0*a, 0 = b*y + 3*a + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 8. Suppose -x + 3*x = -5*s + 18, 0 = -3*s - 2*x + 10. Which is bigger: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80.7 + 77. Let s = -1.3 + d. Suppose 0 = 13*w - 10*w + 9. Which is the third biggest value? (a) s (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((6*(2*sqrt(343) + -1 - sqrt(343)))**2 + (-4 + sqrt(343)*-1*3)**2 + 3).\nAnswer: -77450 + 1680*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1174257678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*u - 57, 14 = a - 0*a + u. Let b = -8535 + 8546. Calculate the remainder when a is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (376\/(-56) - -7) + (3192025\/(-35))\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 25*x**2 - 64*x + 467. Is 11 a factor of p(39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 605717 or 605710?\nAnswer: 605710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 11. What is the units digit of (44\/3)\/(p\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 9, 1\/4, 1\/6, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-1*(0 + 2)). Solve -5*g - 5 = -w*r, 0*r + 3*r - 5*g = -3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (-20 + 8)) + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = -880261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*o - 3087 = 76*o + 791 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 4. Let d = h - -100. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 22*v + 225. Calculate n(-16).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 76989*i**2 - 150092*i**2 + 79352*i**2 in the form b*i**2 + s*i + k and give b.\nAnswer: 6249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -3. Determine a, given that a**2 - 11 + x = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 9*g**2 - 4*g - 36. Let m be p(-9). Suppose m = -n + 1 + 22. Suppose 0 = -29*a + n*a + 6. Solve 0 - a = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = 3*g, 0 = -k - g - 3 - 1. Let u(x) = 9*x**2 + x + 2. Let b be u(k). Let y = -8 + b. Calculate the remainder when y is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:26 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*p - 2*p + 1 + 7*p)*(3 + 0 - 5) to the form l + x*p and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1.2 (b) -32 (c) 16\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 + -1.19. Suppose -2 = -7*p - 30. Sort 5, w, p in decreasing order.\nAnswer: 5, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 40680.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((-11)\/(-99)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 64\/2*(-1 + (-4)\/(-8)). Let m be 5804\/36 - a\/(-72). Suppose 3*b + 2*v = 61, b + 2*v + 5 - 20 = 0. Calculate the highest common divisor of m and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -11615*r - 975671. Determine i(-84).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*s - 30 = 60*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - 32. Let n(p) = p**2 - 28*p + 29. Let o be n(h). Suppose 6*w - 2*s = 2*w + 32, o*s = -5*w + 40. Let a(l) = l**3 - 9*l**2 + 8*l. What is a(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**6\/3060 + l**5\/170 + 3*l**4\/68 + l**3\/6 + 6*l**2. Let v(s) be the first derivative of g(s). Factor v(r).\nAnswer: 2*(r + 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*i - 120. Suppose -u - 5 + 1 = 3*s, 3*s + 4*u = -16. Suppose -5*g + s*g = -i. 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 remainder when 31895566 is divided by 3717?\nAnswer: 3706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 11*z + 27. Let w be z\/(-15) + 3\/(-15). Let l be w\/(4\/6*12\/8). Solve 0*d + d - 4 = l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - v + 12, -3*v + 4 = -112*r + 117*r. Sort r, 3, -2, -33, -14.\nAnswer: -33, -14, r, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7795*p - 54867 wrt p.\nAnswer: -7795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/4*18\/((-12)\/2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 5 (c) 3.3 (d) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -38.9. Let j = w + -1.9. What is the smallest value in -2\/5, j, 4\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.19645l in millilitres?\nAnswer: 60196.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(640)*4)\/(5*sqrt(320))*5)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*c = -8730, 27*c = -2*d + 24*c + 8731. Which is bigger: d or 4365?\nAnswer: 4365","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15171535 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-96*o - 22*o - 95*o)*(o**3 - o**3 + 2*o**3 + (-3*o**2 - 4*o**2 + 5*o**2)*(-4*o + 19*o + 8*o)) to j + m*o**3 + b*o + x*o**2 + w*o**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 6:13 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9))**17*l**1*l**39 assuming l is positive.\nAnswer: l**(-113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**8\/60480 - n**7\/5040 - n**6\/1080 - n**5\/30 - 2*n**2. Let d(p) be the third derivative of t(p). Factor d(q).\nAnswer: -(q + 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 833\nAnswer: 27\/833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0653 - -290355435.\nAnswer: 290355434.9347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 128986 - 2 - (-3)\/3. Suppose 4*p = 3*s - 129020, -3*s - p + a = 2*p. Round s to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -227920516\/7 at least as big as -32560075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -3*i**2\/2 - 21*i - 14. What is the derivative of v(c) wrt c?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -46*p**3 + 24*p**2 + 15*p. Let r(t) = -69*t**3 + 36*t**2 + 21*t. What is -5*r(h) + 7*s(h)?\nAnswer: 23*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 67632883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -5 - (0 - -3) - 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/5 - 816*b**2\/5 - 3288*b\/5 - 3296\/5.\nAnswer: 2*(b - 412)*(b + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*m - 15, 2*m - 2*s = -0*m + 20. Suppose 4*v = -8, -m*v + 63 = -5*b + 333. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.7 in 2, -5, -4, 2\/13, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 64*v - 220. Solve -2*o + 2*o = v*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 52.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/306 and -167\/1620.\nAnswer: 27540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 15. Suppose 3*y - r*s = 28, 0 = 2*y + s - 5 - 18. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -490930310 rounded to the nearest 100000?\nAnswer: -490900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 175791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-10) + 22\/10. Suppose k*z - 30 = -4*n, n = -5*z - n + 67. Calculate the remainder when z is divided by 128\/(-160)*(-15)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -153925, -307850, -461775, -615700, -769625?\n\"Answer: -153925*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddddddddfd. What is prob of sequence ddf?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)\/b)**(-38))**(-1\/42)\/(b**(-2\/7)\/b*((b\/(b**(3\/8)*b*b*b)*b)\/b)\/b)**(-10) assuming b is positive.\nAnswer: b**(-11897\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -275*l - 12925. Let w be a(-47). Let m(c) = c**2 + 2*c. Let o be m(-3). Solve o*i + 10 - 4 = w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4056, 9, -1746 in decreasing order.\nAnswer: 9, -1746, -4056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - -0.4. Let x = -0.2 + 0.1. Let i = c + x. Sort 0.2, 0.3, i in descending order.\nAnswer: i, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179 (base 13) to base 7.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268740 - 268738 + 506*k**3 + 162*k**3 - 20*k**3 + 537478.\nAnswer: 648*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12800.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02 and -0.03928912794.\nAnswer: -0.01928912794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n + 1885. What is u(-187)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5158 divide 3779942298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23, 5, 0.2, 0.28?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - 4*(sqrt(84)*-2 - sqrt(84) - sqrt(84))) + sqrt(84) + sqrt(84) - sqrt(84)) + sqrt(84))\/(sqrt(48)\/sqrt(4)*-2)*1.\nAnswer: -19*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -5. Let m = -11 + 24. Let s(l) = -m + 5 + 13 + 6*l - l**2. Calculate s(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-22)*((-3 - -1)\/6)\/(229\/(-229))?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0 (c) 1 (d) -50 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 21*p**2\/2 + 54. Let z(g) = 4*g. What is c(z(t))?\nAnswer: 84*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2074412 divided by 518603?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/((-50)\/9) - 177\/(-590). What is the closest to 0.3 in k, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -2*i + 34, -20 = -5*q - i + 17. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k**3 - 6*k**2 + 17*k + 33. Let x(f) = 5*f**3 - 2*f**2 + 8*f + 17. Let h(b) = -6*m(b) + 11*x(b). Does 43 divide h(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i - 3. Suppose -5*w + 3*w - 5*u - 13 = 0, 0 = 5*w + 3*u + 4. Suppose 2*s + 1 - 7 = 0. Suppose -w = -s*b + 2*z + 1, b - 19 = -3*z. Give m(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - v**2 - 2*v + 1. Let n be c(-2). Let t be (-1)\/4*(1 - n). Solve -3*h + t = g, 2*h + 6*g - 4 = 4*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - t + 83, 2*o - t - 2*t + 28 = 0. Which is smaller: -16 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9612\/5 + -1915. Let v(d) be the first derivative of -l*d**5 - 10*d**3 + 0*d**4 + 0*d**2 + 0*d + 10. Find the third derivative of v(k) wrt k.\nAnswer: -888*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/2)*c)**(-6\/13)\/(c**(1\/3))**(10\/13))**(-9\/5) assuming c is positive.\nAnswer: c**(57\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -2, 318 in descending order.\nAnswer: 318, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5449473703184 and 138?\nAnswer: 5449473703322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604c15 (base 14) in base 7?\nAnswer: 160353625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*j**4*u**3 - 2*j**3*u**3 - 30*j**3 + 6*j**2*u - 59*u**3 + u wrt j.\nAnswer: 360*j*u**3 - 12*u**3 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6501 and 8539.\nAnswer: 55512039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g = -26*g. Suppose g = -9*w + 26 + 1. Solve 14 = 4*v + 2*c, 4 = w*c + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*f + 9. Suppose 0 = 4*n - i + 15 - 48, -3*n = -3*i - 36. What is the second derivative of -3*s**f + s**3 - n*s + 0*s**3 wrt s?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -n + 4*n. What is the tens digit of (-1 + n)*-1 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(68)\/sqrt(4) + -3))**2.\nAnswer: -6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 143134*w - 1431540.\nAnswer: 2*(w - 10)*(w + 71577)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m = 2*j - 160, 3742*m - 28 = 4*j + 3739*m - 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 3*j - 4. Let h = -34\/13 - -400\/143. Let o = 0 - 1. What is the closest to 1 in j, o, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -645 - -648. What is the nearest to -1 in 2\/5, f, 0.02, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n + 3. Let j(o) be the first derivative of -5*o**2 - 16*o + 34. Let h be (-6)\/(-3) - 9*-1. Let x(v) = h*m(v) + 2*j(v). Give x(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 189, 189, 185, 177, 165, 149, 129?\n\"Answer: -2*j**2 + 6*j + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 756, 2595, 6200, 12165, 21084?\nAnswer: 33551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*a**3 - 3532*a**2 - 1416*a.\nAnswer: 4*a*(a - 177)*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 249771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/44109648?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**3\/5 - 4*i**2 - 32*i\/5 - 16\/5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (39110*m - 10656*m - 16891*m)*(0 - 2 + 4)*(1 + 3 - 3)*(-m**3 + 2*m**3 - 2*m**3) as n + s*m**3 + g*m + i*m**2 + r*m**4 and give r.\nAnswer: -23126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(117) - sqrt(117) - sqrt(117)))\/((sqrt(9) + (sqrt(9) - ((sqrt(9) - sqrt(9)*-2) + sqrt(9))) + sqrt(9))*4).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21305393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -245*j + 252*j - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9166 - 8148572\/889. Is t > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(3 - 6 + 2)*(f + 0*f + f) - 64 + 6*f + 64 + 4 + f - 4.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1743, -7003, -15769, -28041, -43819, -63103?\nAnswer: -85893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 7 = 4*c. Let r = 17 - c. Calculate the greatest common divisor of 25 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3456772 divided by -314252?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8212 - -98545\/12. Let l(d) be the second derivative of w*d**4 + 0 - 6*d + 0*d**3 + 3\/2*d**2. Let q(x) = 1. Determine -l(i) + 3*q(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2682974 microseconds to seconds.\nAnswer: 0.0000002682974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10001431 + -4?\nAnswer: -10001440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-13)\/g*g))**17 assuming g is positive.\nAnswer: g**221","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) 2\/9 (b) -79 (c) 4\/7 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 115 and 30?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -983689 and 57.\nAnswer: -56070273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, 179, 858, 2183, 4370, 7635, 12194?\nAnswer: 18263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.033 + 80.8.\nAnswer: 80.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7*a**2 - 12*a + 44. Let x(g) = -g**2 + g + 1. Let b(v) = w(v) - 6*x(v). Let z be b(2). What is the nearest to z in -0.1, 0.3, 7, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/10 and 5 + ((-261)\/42 - -7).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + -6. Let j = k + 47. Calculate the greatest common factor of 84 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.247088 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + 14. What is the highest common divisor of 28 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2983.\nAnswer: 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - z**2 - 6*z + 3. Let l be n(5). Let f(j) = -41*j + 35. Let p be f(2). Let w = l + p. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.94 - -3.94. Put -0.2, -16, r in decreasing order.\nAnswer: r, -0.2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2228188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-5)*(-20)\/(-3). Let r = w - 16. Calculate the remainder when 14 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 198 or -6.16?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 52.45 - 520\nAnswer: -467.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + u + 20 = -u, 3*u - 15 = 0. Calculate the smallest common multiple of y and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1434703.158 seconds to weeks.\nAnswer: 2.372194375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k + 113. Calculate the remainder when 65 is divided by r(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 7*x - 10. Suppose x = -m - 1. Let a(g) = -g**3 - 5*g**2 + 5*g - 2. Determine a(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85659367901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 15 + 11 + 10 - 37 - 6*w. Let q(f) = -13*f - 2. Determine 4*q(y) - 9*u(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 195 - 191. Solve -5*n = b + 4*b + 20, z*n + 10 = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4) + (4 - -7) + -55 + 1?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51 or 50?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 5 + (1 - (1 - 1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 9:55 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7905.\nAnswer: 3, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 111091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)*v*v**(1\/11)*(v**(-2))**43)\/(((v\/(v*(v\/v**(1\/4))\/v))\/v)**(6\/23)*v**(2\/21)\/(v**(-8)\/v)) assuming v is positive.\nAnswer: v**(-1071193\/10626)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022122 - -2102200?\nAnswer: 10202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 840065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 6*t = -2*y + 12, -t - t + 67*y + 328 = -5*t for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, t: 1, x: 2, r: 1}. What is prob of picking 2 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95274448.\nAnswer: 2, 5954653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -2)\/(5\/15). Suppose 2*g - 15 = d*b, 5*b = b - 20. Suppose g = -h + 3, z + 5*h + 36 = 2*z. Calculate the remainder when z is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.2? (a) -91 (b) -6\/7 (c) -1 (d) -2\/9 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1069?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 82507252*i + 25034139 wrt i.\nAnswer: 82507252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 z when three letters picked without replacement from {z: 2, c: 5, m: 7}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53270 divided by 5.\nAnswer: -10654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l - 108*l - 5125 = 138*l for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - p - 1 + (4 - 1 - 2)*(-52 + 23*p + 52) to the form h*p + v and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -21.2?\nAnswer: -4.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**5\/12 + 116*y**2. Let i(h) = -h - 1. Let w(d) = -3*d - 5. Let o(l) = 5*i(l) - w(l). Calculate o(v(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 0 - 1\/2*s**3 - 62*s**2 - 4\/3*s**4 - 47*s. Differentiate j(p) with respect to p.\nAnswer: -32*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-32)\/(-56)*(-49)\/(-210)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/6*93\/(-62)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r + 2 = 0. Let a = r + 7. Suppose -m = 3*m - a. Solve 2*z = -5*g - 22, -4*z - g - m*g = 16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -291.98627 to the nearest integer.\nAnswer: -292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.3 + 0.7. Let y = -6 - -4. Let s be y\/(-3 + (-4)\/2). Put -4, s, o in ascending order.\nAnswer: -4, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2022 (base 5) to base 15.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 3*i**2\/2 - 9*i - 911. Give j(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.1095 + -0.0395. Let a = t + -6. Let j = a + -0.06967. Round j to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10120201 (base 3) to base 8\nAnswer: 5063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2423093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 22611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3899.\nAnswer: 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/n**30)\/n*n)\/n*(n*n\/n**(-4))\/n)\/(n**(-15)*n\/(n\/(n\/n**(-18)*n*n*n*n))) assuming n is positive.\nAnswer: n**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 p when three letters picked without replacement from pccccp?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83690, 167378, 251068, 334760, 418454, 502150, 585848?\nAnswer: 669548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.90447019018 take away -37?\nAnswer: -52.90447019018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n**4 - 24*n**3 + 3*n**2 - 13*n**4 - 2*n**2 - 13*n**4 + 37*n**4 in the form d*n**3 + x*n + b + z*n**4 + m*n**2 and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 4 (c) -347 (d) 7 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, t: 2, o: 1, z: 1, d: 1, h: 1}. Give prob of picking 1 m and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/118 and -91\/54.\nAnswer: 3186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1268 (b) 1\/133 (c) 6 (d) 2 (e) 5 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18, -26, -34, -42?\n\"Answer: -8*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (178 + 380 - 812)*(-5 + 5*i + 5) + (4 - 5 - 2)*(4*i - 3*i - 3*i) + 2 - 2 - 2*i in the form f*i + j and give f.\nAnswer: -1266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 2*d**2 - 3*d + 1. Let k be b(2). Suppose 3*a - 28 = k. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(75) + -3 + sqrt(75))**2 + sqrt(75).\nAnswer: -55*sqrt(3) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3585 and 1097295?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:46 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 995472119000 + 1\nAnswer: 995472119001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/38 in 1, -1\/4, 0, -32?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 918?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -22655 and -0.1.\nAnswer: -22655.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1392, 1, 2, -3 in ascending order.\nAnswer: -1392, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*a + 1255 + 478, -5*a + 2160 = -5*t. Let o = t + 295. What is the units digit of o\/(-12) + ((-65)\/(-30))\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 155 - 293 = 0. Let k(o) = 37*o + 4. Let s be 3 - (0\/3)\/1. Let r be k(s). What is the highest common divisor of h and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(440)\/sqrt(90).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/z**(-1\/6))*z*z**0*z**3\/z**(-6) assuming z is positive.\nAnswer: z**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/19 - (-70)\/665. Solve 3*o**c + 70 - 31*o**3 - 61 + 53 + 95*o + 2*o**4 - 3*o**4 = 0 for o.\nAnswer: -31, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**5 - 2*x**4 - 17*x**3 - 12*x**2 + 2. Let a(g) = g**4 + g**3 + g**2 - 1. Let p(w) = -2*a(w) - n(w). Suppose p(b) = 0. Calculate b.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, y: 6, x: 4, k: 4, s: 2, c: 1}. Give prob of sequence xxk.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -203*v**2. Let q(x) = x**2. Calculate m(q(p)).\nAnswer: -203*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**3 + 5*o**2 - 15*o + 5. Let n(g) = 5*g**3 + 6*g**2 - 15*g + 6. Suppose 68 = -57*k + 68*k - 2*t, -k + 11 = -5*t. What is k*r(j) - 5*n(j)?\nAnswer: -j**3 - 15*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2696*p**3 + 2*p**2 - 170 + 34 - 1477*p**3 + 3*p - 1436*p**3 wrt p.\nAnswer: -1302*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/13 in -2\/61, -0.3, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n - 33. Let s(p) = -10*p - 70. Let j(b) = -5*o(b) + 2*s(b). Calculate j(-12).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 104, 4, 2, 0 in ascending order.\nAnswer: 0, 2, 4, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 215014 less than 17.9?\nAnswer: -214996.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.692616 years to months.\nAnswer: 104.311392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.3032 to 1 decimal place.\nAnswer: 45.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/3)\/(1\/3). Let n be (-4)\/(-8) + 1\/o. What is the units digit of n\/(-8)*10*-20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.03 and 119.\nAnswer: 118.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12144 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -343\/80 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 2:11 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*q**2 - 8*q**2 + 10*q**2)*(-3 + q + 3).\nAnswer: 22*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 942401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*h - 38 - 57*h - 24 - 18*h wrt h.\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.6 + 14.49. What is the second smallest value in g, 2, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 381956, 381976, 382012, 382070, 382156?\nAnswer: 382276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((10\/(-70))\/(6\/14)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 719 + 1416. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1) - (-3 + -1 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91952, -91944, -91920, -91880?\nAnswer: -91824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*t - 320*t + 30 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -537624*i + 537620*i + l - 22, 22 = -3*i - 2*l for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -810448 > -810448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 g when four letters picked without replacement from nggnggrnnggnrnn?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*m - 2 - 3*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50468027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.9246121 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*sqrt(38)\/(-5*sqrt(2)*1) - 5*(1*sqrt(684) + sqrt(19) + -1 + 2))**2*6.\nAnswer: 2136*sqrt(19) + 3615626\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 3*w + 3*w)*(-w**2 - 2*w + 2*w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 52*i - 212. What is q(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -32. Suppose -4*q - 1 = -d. Suppose 3*b = 4*c - 44, b = q*c - b - 44. Calculate the smallest common multiple of c and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - -1 - (7202 - 7210)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*o**2 - 46*o**2 + 38*o**2 - 114*o**2.\nAnswer: -186*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -680351 and 199.\nAnswer: -680152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 8:37 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.1 - -12.913. Let i = -132.387 - a. What is i rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2057) + 5 + -4)*-1)**2.\nAnswer: -44*sqrt(17) + 8229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - 870*n + 95*n**2 + 871*n as w + s*n + g*n**2 and give g.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 + -211. Let n = 146 + v. Calculate the highest common factor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/60)\/((-66)\/891)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 568948.4 meters?\nAnswer: 568948400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10351498.\nAnswer: 2, 1259, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y + 30*y = 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2156) - (sqrt(77)\/sqrt(7) + 4)) - (4 + (sqrt(88)*-1*1 - sqrt(88))\/sqrt(8) + -1)**2.\nAnswer: -54 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + 24 + (883 - 889).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.61 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 4*u = -5*x + 159, x - 593*u + 11 + 12 = -596*u for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 1. Let h = 84 - 90. Let a(k) = -11*k + 2. Let g(u) = h*f(u) - a(u). Let r = -16 - -13. Let s(i) = -4*i - 3. Determine r*g(d) - 4*s(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzm when three letters picked without replacement from {m: 13, z: 5}?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55*2.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*k = 22, 5*k - 15 = 2*k. Suppose 71*c - 64*c = 63. Put c, 2, y in increasing order.\nAnswer: y, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 + 137*r**2 - 537*r - 2687. What is v(-72)?\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200\/(-33600)*-36*(1\/18*46 + -2).\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 132*g**2 + 2. Suppose 6*y + 2 = 5*y. Let w be p(y). Suppose 3*b - 432 = 3*x, 5*b - 200 = 3*x + w. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 10 = -7*r. Suppose 7 + 11 = r*g. Let m(f) = f + 8. What is the remainder when 50 is divided by m(g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k**3 - 11*k**2 + 5*k - 10. Let f be u(-5). Suppose 447 = 4*l + h, f = 4*l + l - 5*h. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/36 - (7 - (-11)\/6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -18. Suppose h + 4 = f. Suppose -4*d + f*d - 250 = 0. Solve 5*r - 5*l + d = 0, -5*r - 2*l - 10 = l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.357, -0.3 in decreasing order.\nAnswer: 1, 0.357, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 26, -3\/7, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2093 by -23.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1394714 - -26)\/(-24) + -5?\nAnswer: 3, 7, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/10)\/((-22)\/(-10)). Let u = 0.03 - 7.03. Let o = -4 - u. What is the biggest value in o, 0.5, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 837238.4 years in centuries?\nAnswer: 8372.384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.04 (b) 4 (c) 8 (d) 7 (e) 3\/8 (f) 49\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -8.1. Let h = y + 7. Suppose r = 3*n - 5, 0 = -2*n - 5*r + 14 - 5. Which is the closest to n? (a) h (b) -0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -8. Suppose 4*v = 90 - 6. Solve -2*p + 2*c = t, -5*c + v = -4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/15*(-3)\/(-1). Let m(o) = o**3 + 5*o**2 + o - 4. Is m(y) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 1. Let k(z) = -z**2 + 10*z - 17. Let d be k(8). Let w(a) be the first derivative of -a**2 + 4*a - 1. Calculate d*w(g) - v(g).\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -11*l**9\/126 - 17*l**5\/20 + 47*l**2 - 2*l. Find the third derivative of m(d) wrt d.\nAnswer: -5280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**6\/60 - t**5\/30 - t**3\/3 + t**2. Let b(a) = a**2 - 2*a**2 - 197 - a**3 - 197 + 393. Give -6*b(s) + 2*c(s).\nAnswer: 2*s**3 + 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4125, 32349, 108981, 258231, 504309, 871425, 1383789?\n\"Answer: 4035*a**3 - 6*a**2 - 3*a + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/(8\/(64\/36)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i**2 + 17*i - 7. What is the hundreds digit of n(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 184*k*n**5 + 12*k*n**3 + 5*k*n**2 - 64*k wrt n.\nAnswer: 11040*k*n**2 + 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28709749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2824481 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**3 + 96*b**2 - 49*b**2 - 1 - 5*b**3 - 45*b**2. Let z be j(1). Let k be 12\/5 - (0 - -2). What is the nearest to 0.1 in z, -2\/9, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2122 rounded to 1 dp?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 6. Let o(d) = d**2 + 6*d - 2. Let m be o(n). Is (-100)\/(-4) - (-2 - m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366434 is divided by 13566?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*g*i**2*x - 16756*b**3*g*i*x**2 + 2*b**2*g*i*x - b*g*i**2*x - b*g*i*x - 8*b*g*x + x**2 wrt b?\nAnswer: 6*g*i**2*x - 100536*g*i*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + t + 4*t - 27465, 5*t = d - 6860. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 2*s + 288. Let l be (2*-1)\/(1*-2). Let k be l\/(-4) - (4 + (-244)\/s). Which is the nearest to -0.1? (a) 0.1 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11677250 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 3 - 76) + (-13 - (-28 + 18 - 11)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44 + 10*j**2 + 44 + (-4 + 4 + 3*j)*(-2*j + 2*j - 10*j).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 2*c + 4*c + c - 6*c + 0*c + 0*c - c - 2 - c + 2 + (-2 + 2 - 1)*(2*c - 3*c - c) - 4*c + 3*c + 3*c + 3 + 16*c - 3.\nAnswer: 19*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -2121cb3?\nAnswer: 2121cac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 117232 divided by -58616\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8413045219\/3393 - -2479530. Find the common denominator of i and -35\/1508.\nAnswer: 13572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = d, d = -2*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5112.97241 rounded to the nearest 100?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 4)*(-v + v + v**2)*(8*v**2 - 5*v + v**2 - v**3 - 12*v**2).\nAnswer: -5*v**5 - 15*v**4 - 25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 12124 = -9150. Suppose 9*z - 7*z = u. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5238 + -5307. Is -69 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 431, 433, 435?\n\"Answer: 2*j + 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2199164549 from -1.\nAnswer: -1.2199164549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 2.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.33 + 1.3. Let o = r - -0.0299968. Round o to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186083 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99026378, 99026373, 99026368, 99026363?\nAnswer: 99026358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.494 + -0.194. Which is the fourth biggest value? (a) -2\/5 (b) -3\/11 (c) 0.4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30757 - -2a?\nAnswer: 30785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + a = 15, -2*a = -7*a. Put 5, -3, v in increasing order.\nAnswer: -3, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4986 and 11538.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*(-3 - (6 + -10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfxtz. What is prob of sequence vf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2739, -5481, -8221, -10959, -13695, -16429?\nAnswer: -19161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8960800 to the nearest 10000.\nAnswer: 8960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + r - r + r**2 - 5*r**2 + 5*r**2 + (-2*r + 2*r + 2*r)*(r + 1 - 1) - 6 - 79*r**2 + 232*r**2 + 6 to x*r**2 + u*r + t and give x.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -93187, 0.4, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 5. Let v(q) = -3*q**3 - 2*q**2 + 2. Let c(k) = -4*k**3 - 2*k**2 - k + 3. Suppose -11*i = 28 - 6. Determine i*c(y) + z*v(y).\nAnswer: -y**3 - 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 1:30 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -748089 take away 0.766567?\nAnswer: -748089.766567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eprpjreejrppppj. Give prob of picking 2 p and 2 j.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -65, -107, -157, -215, -281, -355?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**3 - 2*r**2 - r + 6. Calculate o(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00022455 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 11 - 1 = 0, 0 = 3*n - 5*o - 659. Let q = n - 131. Calculate the highest common factor of 205 and q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/40*0 + 2\/13.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (446\/5)\/(20\/50) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.3 + -2.6. Which is the nearest to 1\/3? (a) 4 (b) -2\/13 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = 22*p - 881 - 1359. What is the remainder when 556 is divided by p?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, i: 7}. Give prob of sequence ll.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*r + 4*r - 20 = 0, -4*z + 12 = -2*r. Suppose -5*a - 36*s + 38*s + 19 = 0, 1 = 3*a + z*s. Solve 0 = -5*v + 15, a*t + 6*v - v - 21 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 20 - 380. Let m = 624 + p. Does 33 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = 26*r + d, 0 = r - d - 9896 + 9890 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*c - 10745 = -3305 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*l - 0 + 31, -5*l - 105 = -5*c. Solve a + 3*a = c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50719560, 101439122, 152158684, 202878246, 253597808?\nAnswer: 304317370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/70)\/(3\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 31*z + 236. Let h be l(13). Let a(d) = -d**3 + 2*d**2 + 5*d - 5. What is a(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.60362831 to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24899 and 266?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b - 3*b**3)*(-6*b - b + 180 + 5*b).\nAnswer: 6*b**4 - 540*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1194494, -1194465, -1194416, -1194347, -1194258, -1194149, -1194020?\nAnswer: -1193871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 5:24 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 37 + 3 + 17 + 22*g.\nAnswer: 22*g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - a + 0*a = 10, 0 = -3*b + 3*a + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.912 rounded to one decimal place?\nAnswer: -24.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**2 - 2*q + 11. Let v(o) = -8*o**2 - 4*o + 20. Calculate -7*l(r) + 4*v(r).\nAnswer: -4*r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nineteen quarters of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 4*t - 3*t)*(-1 + 3 - 3) + (-377 + 377 + 31*t)*(-6 + 0 - 1) as y + c*t and give c.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 242 + -120. What are the prime factors of m?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than -839143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7602*n - 1405. Is q(-39) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 25 = 4*t, 0 = -5*m + 44*t - 48*t - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6006, 4.\nAnswer: -6006, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -279.06, 2\/3 in descending order.\nAnswer: 2\/3, -3, -279.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 177*p + 173*p = -18656, 2*p + 14956 = 4*g. What is the highest common divisor of 16 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 3)*((3 + 0 - 4)*(7*k + k - 6*k) + 0*k + 4*k - 5*k)*(-1525 - 2*k + 3*k + 1523) in the form c*k + q + a*k**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l + 21 = -5*g, -l + 9 = -2*g. What is the units digit of 2\/(l\/(-1) + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**2)**(24\/13))**(1\/2) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*x. Let p(g) be the third derivative of 1\/420*g**7 - 1\/48*g**4 + x*g - g**2 + 1\/40*g**5 - 1\/80*g**6 + 0 + 0*g**3. What is m in p(m) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -37*a**2 + 274*a + 5. Let u(d) = -16*d**2 + 137*d + 2. What is 3*t(x) - 7*u(x)?\nAnswer: x**2 - 137*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 29*j + 6 = 30*j, -k - j + 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r. Let y = -91 - -85. Let s(h) = -h**2 + 2*h**2 + 3*h**2 + 6*h. Let v(z) = -z. Let m(a) = y*v(a) - s(a). Calculate k(m(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-39)*0\/((-4)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*l**4 + 33*l**3 + 2*l**2 + 1098*l + 19497876 wrt l.\nAnswer: 12*l**3 + 99*l**2 + 4*l + 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -228163.0378 - 10153?\nAnswer: -238316.0378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5205.21ml to litres.\nAnswer: 5.20521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/29260 and 27\/770?\nAnswer: 29260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -898662 by -114.\nAnswer: 7883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -81c + -8?\nAnswer: -827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-9)\/(-81))\/((-68)\/(-48) + -2).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hppohzzoz. What is prob of picking 2 o and 2 z?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*i + 22*i**3 + 0*i - 20*i wrt i?\nAnswer: 132*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 24*v - 112. Let l be n(5). Suppose l = 9*m - 262. Calculate the highest common factor of 645 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxlxxxxxxlxnxplxlpx. What is prob of picking 1 l, 1 p, and 1 n?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2734309 (base 10) to base 8.\nAnswer: -12334345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(5) + sqrt(25)\/sqrt(5)))\/(sqrt(4) - (sqrt(4) - (1*sqrt(64) + sqrt(64)) - sqrt(4))).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 + 168. Let o(h) = -h**3 - 7*h**2 - 7*h - 4. Let a be o(-6). Suppose a*x - g = -x. Calculate the remainder when x is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 8:20 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38326 (base 11) to base 6.\nAnswer: 1102242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2\/7 + 1050696*x\/7 - 1200832.\nAnswer: 4*(x - 8)*(x + 262682)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3504\/(-84) + 34)\/(8\/(-28)))\/(9\/6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 = -10*b - 481. Suppose 161*i - 1500 = 181*i. Does b = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 3*p + 3. Let r be k(3). What is the greatest common factor of r and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3378 + -9?\nAnswer: 3369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*b**2 + 12 + 17 + 10 - 3*b**3 - 38 + 4*b in the form t*b**3 + z*b**2 + v*b + n and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78486246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c03 - -7c?\nAnswer: c81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252, -541, -830?\nAnswer: -1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -43*o**2 - 96*o - 9. Let v(s) = 2*s**2 - s - 1. Let x(t) = p(t) + 3*v(t). Let q(u) be the first derivative of x(u). Differentiate q(k) wrt k.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61 - -1562?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a - 56 = 0. Let p(z) = -10*z**3 - 7*z**2 - 10*z - 7. Let r(g) = 3*g**3 + 2*g**2 + 3*g + 2. Give a*r(q) - 4*p(q).\nAnswer: -2*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 193*u - 5945. What is r(-27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220155 (base 6) to base 12.\nAnswer: a65b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 - (306\/(-55) + (-1)\/(-5)) and -35\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/11 + 1 + 27. Let g = s + -3. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20138 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -7*f**2\/2 - 6*f + 1. Let j = -36 - -42. Let y(g) = 6*g + 5. Give j*y(k) + 5*u(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + p**2 - 13*p - 3. Let g be w(7). Let l = g - 192. List the prime factors of l.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 0, -126*x + 1 = -f - 121*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2328)\/(-13386) + 1556\/46?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 710764 divided by 39\nAnswer: 710764\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let h(k) = -12*k**2. Give -h(v) - l(v).\nAnswer: 12*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20539530 and -0.1?\nAnswer: 2053953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 98 = 86. Suppose 0 = -5*c + u + 181 - 10, 89 = k*c - 4*u. What is the remainder when 172 is divided by c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 399 - 374. Suppose v + 6*h - 10*h - f = 0, -5*h = 25. Solve 0 = 4*p + 3*k - 1, -v*p + 0*k = 4*k - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5385334118 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2. Let f(m) = 1631809762*m**2. What is f(w(i))?\nAnswer: 1631809762*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 d, and 1 i when four letters picked without replacement from {d: 6, u: 2, y: 1, i: 4}?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -131482197*c**3 + 99543106*c**2?\nAnswer: -788893182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 160305 = -30815. List the prime factors of w.\nAnswer: 5, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (1 + -8 - -1 - -11) + 46 + -50.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1415361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from nmnhh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 252819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**3 - 3*p**3 - p**3 + (-3 + 5 - 3)*(-2*p**3 + 6*p**3 - 5*p**3) - 71*p**3 - 41*p**3 + 73*p**3.\nAnswer: -37*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5756464, 11512927, 17269390, 23025853?\nAnswer: 28782316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, -5, 1, -71\/41?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1.9. Let r = d + 0.08. Let o = -0.42 - r. Put o, 0.3, -4 in descending order.\nAnswer: 0.3, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 37*t**2 - 29 + 8)*(11*t - t + 0*t).\nAnswer: -370*t**3 + 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41951 is divided by 368.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*y**3\/5 + 152*y**2 + 22466*y\/5 + 212064\/5.\nAnswer: 2*(y + 48)*(2*y + 47)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 4. Let k be y(0). Let a be 2 + 12\/(-10) + 212\/10. Suppose -8 - 1 = -g - z, -k*z + a = 2*g. Calculate the remainder when 26 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 3. Let j be z(-3). Suppose j = -5*w - 0*w + 5. Let q be (-1)\/(-2) + w\/2. Let r(d) = 9*d**2 - 2*d + 1. Give r(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)\/(f\/(f**(-12)\/f*f)*f))\/(f**(1\/2))**35 assuming f is positive.\nAnswer: f**(-185\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -5. Let l be 56\/6*12\/8. Suppose 45 = 5*g - 4*x, y*g - 5*x = -0 + l. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (1 + 30\/(1 + 1)). Let h be (12\/7)\/((-2)\/14). Let q = h - c. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h**3 + 6*h**2 + 6*h + 16. Let k(q) = 2*q**3 - 2*q**2 - 2*q - 5. Give 16*k(j) + 5*z(j).\nAnswer: 2*j**3 - 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 5572512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1011000111001110100 (base 2) to base 8\nAnswer: -1307164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -634 - -976. Let w = 657 - j. Calculate the greatest common factor of w and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -356*o - 524*o - 20 + 2893*o - 12 with respect to o.\nAnswer: 2013","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - w + w + (3*w - 5*w + w)*(5 - 5 + 6*w**2).\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -566.0594 - -0.0594. Let r = g + 565.999759. Round r to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48338646?\nAnswer: 2, 3, 71, 233, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20988 take away 27?\nAnswer: 20961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*v = 200, -109 = -0*f + 3*f - 4*v. Let k = 89 + -42. Let x = k + f. Calculate the highest common divisor of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 37 = 3. Let u be ((-36)\/r)\/(-3) + 6\/(-15). Solve 4 = 2*h + x - u*x, h - 4*x - 9 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56.8 + -56.8000328. Round x to six decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**2)**(-11\/3)\/(j\/(j\/j**(2\/9))*j)**47)**(-22) assuming j is positive.\nAnswer: j**(14278\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/20 and -43\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5650\/(-452)*2\/(-25)*22\/(-7).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 147 - 141. Let l = -1730\/9 - -192. Which is the third biggest value? (a) -2 (b) -3 (c) r (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 89658\/255 + (-6)\/10. What is the remainder when 13\/(h\/(-1314))*-3 is divided by 46?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/78 + (-4)\/(-26))*-2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1259653 or -1259648?\nAnswer: -1259653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-9 - 394\/(-8))\/(2\/48)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 266264 - 50?\nAnswer: 266214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19263, -19631, -19999, -20367?\nAnswer: -20735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 3. Suppose -3*u = u. Calculate a(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/(-36)*-3 + -1)\/((-126)\/504).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 112.7436 * -0.2.\nAnswer: -22.54872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*i**4 - 484981*i**3 - i**2 - 17041*i + 986.\nAnswer: -132*i**2 - 2909886*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10*1*16\/(-32).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-600)\/40)\/(-3*(-3)\/6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -124*g + 4. Let p(k) = 2*k**2. Determine p(x(s)).\nAnswer: 30752*s**2 - 1984*s + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*q + 2*n = 151*q - 36, -3*q - 5*n - 18 = 0. Suppose 32\/11*b**5 + 178\/11*b**2 - 58\/11*b + 6\/11 + 16\/11*b**q - 174\/11*b**3 = 0. What is b?\nAnswer: -3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/3)*a)**(3\/2)\/(a*a**(2\/3))**(-30))**(26\/7))**(-37) assuming a is positive.\nAnswer: a**(-48581\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -31*n + 14. Let q(z) = 9*z - 4. Let b(k) = 2*c(k) + 7*q(k). Let v(j) = -j. Calculate -2*b(u) + 6*v(u).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 738348 and 892?\nAnswer: 164651604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/2)\/((-7)\/(-14)))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 + 12*h**2 + 7*h - 11. Let j = 62 - 67. Let v be s(j). Solve 4*n - 16 = 5*l, -3*l + n = -2*l + v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24086 + -24026. Calculate the greatest common divisor of 15270 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -578 - -598. Suppose 0 = -3*j + o*j + 51. Let h = 0.6 - 1. What is the second smallest value in 0, j, h, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3340838230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3074229042?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 c when three letters picked without replacement from cggccgcgccgggcccgggg?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3433780?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 7 + 1. Let q(g) = g**3 + 3*g**2 + 5*g + 4. Let i be q(o). Let w(m) be the third derivative of m**4\/24 - m**3\/6 + 18*m**2. Determine w(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + 143. Suppose j = -5*b - a + 1130, 0 = -4*b + 3*j + 761. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77083 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 2:53 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 - 7*f. Let b(x) = -x + 10. Let c be b(9). Let z be (-4 - -3)\/(c\/(-5)). Does 20 divide t(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1100 = 3*k, 3*k + 17*n - 1105 = 19*n. Is 19 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000013469 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, -4, -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*r + 17. Suppose -3 = -2*u - l + 6, 0 = -u - l + r. Solve -4*h = -u*v, 2*v = v + 4*h + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4776 + -4780. What is the nearest to n in 2, -11.81, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a739a4 (base 13) to base 6.\nAnswer: -220013131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxcsmmmcmswc. What is prob of sequence xwsc?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4124698 at least 4124692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 12*q + 2. Let b be o(-1). Let z = b - -13. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/9))**(44\/7)*(u*u\/u**(-5))**26 assuming u is positive.\nAnswer: u**(11378\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100017 and 108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 14. Suppose y*v + 28 = q + 10, -q - 5*v - 9 = 0. Solve 3*n + 2*t = n - q, 3*n - 4*t - 12 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfffsffsssfs. What is prob of sequence ffsf?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 4522\nAnswer: -4522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -23*x**2 + 84*x. Let w(g) = -725*g**2. What is r(w(h))?\nAnswer: -12089375*h**4 - 60900*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -3844746\/19 and -202354 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 357 and 1.03?\nAnswer: 367.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 489492901 to the nearest integer?\nAnswer: 22124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -50. Let i(h) = h**2 - 7*h + 9. Let p be i(6). Sort f, p, 0 in increasing order.\nAnswer: f, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*u**2 + 6*u + 3*u + 67*u**2 wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3972.8 rounded to the nearest one hundred?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11 or 0.08?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*c**3 + 597*c**3 - 936*c**3.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 98.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 1)\/((-1)\/5). Differentiate -r*d**3 + 9 + 0*d**3 - 13 with respect to d.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-50))\/((-20)\/(-100)). Let k = -3 + 2.7. What is the second smallest value in k, y, 4\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12\/49, 2, -4\/5?\nAnswer: -12\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**2 - 6 + 19423*x + 3*x**4 - 2 - 19696*x + 4 to the form u + q*x**3 + f*x + j*x**4 + z*x**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = -4*j, w - j + 0*j = 3. Let v = w + 23. Suppose 4*f - v = -p, 5*f - 4*p + 6 = 28. Solve f*z - 3 = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1125 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -16. Let k(c) = -c**2 + 30*c - 19. Is k(b) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-992159)\/3457*2\/42\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 = s - 0*s, 0 = 4*s + z - 1. Let f be ((-74)\/6)\/((-10)\/60). Let q = s + f. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/21*(-15)\/30)\/((-6)\/40)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153101 to the power of 1\/2, to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1288, -1289, -1288, -1285, -1280?\n\"Answer: w**2 - 4*w - 1285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22808 - 22811. Let j be 2\/(-8) - 2\/(-16). Let w be 1*2 + 4 + -1. What is the nearest to -1 in j, o, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*u + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 + 3*z**2 + z. Let h be w(-2). Let y(u) = -54*u - 15. Let r(c) = 149*c + 43. Let o(n) = -4*r(n) - 11*y(n). Determine o(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-14 - -43) - 12\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**5\/2 + 1720*u**4 + 1076635*u**3\/2 + 36394225*u**2 + 105440330*u + 69582700 = 0.\nAnswer: -122, -2, -1, 935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -162523621?\nAnswer: 162523617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-5.8\nAnswer: -2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five eighths of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**3\/5 + 10227391*n**2\/5 + 6537469138256*n\/5 - 1634367923776\/5 = 0. What is n?\nAnswer: -1278424, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 73*u**4 - 75*u**4 + 4*u**3 + 4*u + 3*u**3 + 15*u**3 - 52*u**2 + 28*u = 0. Calculate u.\nAnswer: 0, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59646548 rounded to the nearest one hundred thousand?\nAnswer: 59600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 442 and 26.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*v - 21. Let y be (v + -19)\/(-1 - 1). Are -1 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 3)*(51*j - 216*j - 135*j).\nAnswer: 900*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**2 + 45*a + 75322. Give j(-151).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -758, -1514, -2216, -2834, -3338, -3698, -3884?\nAnswer: -3866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s - 9. Calculate d(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*w - 1272096 + 2810246 = -1430426. List the prime factors of w.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -372003, -744005, -1116007, -1488009?\n\"Answer: -372002*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607.76 times 0.5079?\nAnswer: 816.581304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46 - 193*s - 130*s + 39*s**2 + 4*s**3 - 45 - 12*s**2 wrt s.\nAnswer: 24*s + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-39)*((-7)\/((-70)\/24))\/(306\/(-2295))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 363 by -1.\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3219, -3223, -3227, -3231, -3235?\nAnswer: -3239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 6:48 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -12*q + 8*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 - 540\/(-81). Let r be ((-8)\/p)\/(16\/(-120)). Solve -3*a - 5*l = 29, -5*a - 17 = 3*l + r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -24. Let d = m + 48. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198570 = 5*z + 11*z + 34538. Calculate the greatest common factor of z and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4\/9 - 233410*q**3\/9 - 2100800*q**2\/9 - 6069080*q\/9 - 1867424\/3 = 0 for q.\nAnswer: -4, -3, -2, 116714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -29, 7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4 + 2*a**3 - 24*a**2 - 50*a - 25 = 0.\nAnswer: -5, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 180 + 58 + 2*m**3 + 62 + m**2 + 60 - m**4 to the form n*m**3 + q*m**4 + k + g*m + x*m**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:37 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 11:58 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6980 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 19, 204, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -210837 times -14.3\nAnswer: 3014969.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 3 (c) 0.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 + 3*s**2 - 5*s**2)*((-2*s + 5*s - 2*s)*(-3 + 0 + 5) + 0*s - s + 9*s).\nAnswer: 30*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 6 = t. Find the second derivative of -2 + 3*x - t*x**3 + 5 - 3 wrt x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4690, -22152, -52392, -95410, -151206, -219780?\n\"Answer: -6389*n**2 + 1705*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 * -195\nAnswer: 42.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 2:40 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -49 + 12290?\nAnswer: 12243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201200 is divided by 12449?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -237*m + 242*m. Solve -m*q = -q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -171, 1, -21, -5 in increasing order.\nAnswer: -171, -21, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**5\/60 + l**4\/6 + 5*l**2. What is f in r(f) = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1187998*m**4 - 595*m**2 + 348*m.\nAnswer: 28511952*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = m + m. Suppose -2*f = 8, -f = m*v - 6*f - 2. Calculate the remainder when (0 - -100)*v\/(-12) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 4*y = -16. Sort 10, -5, y in ascending order.\nAnswer: -5, y, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*o + 45 = 5*o, 2*j - 3*o = 5. Suppose -4*k + 58 = j. Calculate the smallest common multiple of 8 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 - -60. Let j(l) = 2 + 0 + 17*l**b - 1 - 16*l**2 + l. Calculate j(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 8 = 6*q + 3*w, -4*q + 16 = 5*w. Suppose q*f = 2391 + 1589. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 = -d, -7*r - 2*d - 2 = -2*r. Let a(y) = y**3 - y**2 + 31. Let s be a(r). Let m = s + 5. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -21 in descending order.\nAnswer: -1, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 3*s**3 - 5*s - 10 - 6*s**3 + 4 as q + v*s + b*s**2 + c*s**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 990254, 990253, 990252, 990251, 990250, 990249?\n\"Answer: -m + 990255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20367636?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188328.054239 + -16.\nAnswer: -188344.054239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -965 and 0.1.\nAnswer: -96.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 - 3*p**2 + 5*p - 10. Let f be 2*(-5 + 7 + -1). Let t be m(f). Solve -32 = 4*c + 3*b - 0*b, t*c - 4*b = -4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 39*l**6 - 383*l**3\/3 + 51. Find the third derivative of t(w) wrt w.\nAnswer: 14040*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -114, -166, -204, -222?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42667939.\nAnswer: 19, 2245681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6)\/(s*s*s**7\/s)*(s**(2\/19)\/s)\/s**(-1\/4)*(s**1)**(-13)\/((s**(-4)*s)\/s**(-2)) assuming s is positive.\nAnswer: s**(-2025\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128851224 is divided by 3179.\nAnswer: 3175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 720\/(-100) + (-8)\/10. Let j(l) = 72*l**2 - 2*l - 3. Is j(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.171, 3, 1\/4, -1, 3.7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*o - 228 = -2*o, 5*f - 5*o - 285 = 0. Calculate the greatest common divisor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1\/5, 2\/3, -6, 0.07 in descending order.\nAnswer: 2\/3, 1\/5, 0.07, -1\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 2*q + w + 21, 4*q - 5*w - 218 = 0. What is the remainder when q is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 0*w. Let z = 2 - w. Find the third derivative of 4*h**2 - z*h**2 + h**6 - 3*h**6 wrt h.\nAnswer: -240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znqzzqqqzqzzzzqqq. Give prob of picking 4 q.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s + 5*s - 13 + 5 - 3*s. Suppose 0*t = 4*t + 24. Let o be k(t). Solve 3*z - o*z = 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/108 - 36118\/(-18). Suppose 7*p - m = -2*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.7346784608784 and -0.06?\nAnswer: 0.7946784608784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 4) to base 12.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 67. Let d(f) = f + 46. Let x(n) = -16*n - 552. Let p(y) = 12*d(y) + x(y). Give b(p(k)).\nAnswer: -4*k - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*v**5 - 36*v**5 + 26*v**5 - 313*v - 43*v**3 - 528*v wrt v?\nAnswer: 80*v**3 - 258*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40187\/4 less than 10048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 9 = -0*u. Suppose 3*h = -2*h + u*p + 45, -56 = -3*h - 4*p. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-430 + 2799)*(-1 - -15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 294 and 147882.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1)\/(324\/(-24))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2 - 2*z + 2. Let p(x) be the second derivative of -x**6\/240 - x**4\/12 + x. Let c(b) be the third derivative of p(b). What is f(c(l))?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5266, -21063, -47392, -84253?\nAnswer: -131646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*s + 26*s**3 - 28 + 33*s + 18*s**3 to the form l*s**3 + y + b*s**2 + v*s and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u, 0*h - 32 = -4*h + 3*u. Suppose -h*v - 5*v = -2*v. Let 46*p**2 + 8*p**3 + v*p**3 + 12*p**4 - 46*p**2 + 4*p**5 = 0. What is p?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(45)*-2)*-6 + 1)*4)**2.\nAnswer: 1152*sqrt(5) + 103696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -148 - -305\/2. Let d be -5 - 4\/(24\/14)*9\/(-3). Factor -w - 1\/2*z**d + 3*z.\nAnswer: -(z - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by 3?\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -269, 2, -23, -6, -31 in descending order.\nAnswer: 2, -6, -23, -31, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14303988 divided by 2259?\nAnswer: -6332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30071*i + 15036*i + 15042*i - 2.\nAnswer: 7*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.7. Let p = -12696 - -12696. Let t be 1\/(-2)*176\/(-8). What is the fourth smallest value in t, z, -1, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 - 11737*x**2\/5 - 105706*x\/5 - 93968\/5.\nAnswer: (x - 11746)*(x + 1)*(x + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + -1 + (-15)\/(-5). Let g be -3 + 3 - m*3. What is the nearest to 0.2 in -1, g, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 7*p**2 - 32*p - 5. Let c be g(-3). Sort -9, c, -4 in ascending order.\nAnswer: -9, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 421*k**2 - 27*k - 104. Is x(-5) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 56 + (-4 - (-2 - 2)). Suppose 180 = 3*b + r - o, -4*r + 405 = 5*b. What is the highest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 11:36 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 453, 558, 635, 678, 681, 638, 543, 390?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*l - 1038 - 6219 = 152 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -168 - -120. Is 24\/t - 274\/(-4) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -13*d + 466. Let h be c(38). Sort -5, h, -4, 18 in descending order.\nAnswer: 18, -4, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 4:03 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 5182.\nAnswer: -3\/2591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 + 10013*z\/2 - 15024.\nAnswer: (z - 3)*(z + 10016)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2725, -2782, -2925, -3196, -3637?\nAnswer: -4290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23\/5 + -5. Suppose 5*r + 1 = -2*j - 19, -5*r + 5*j - 20 = 0. Suppose 5 = -b - 4*c, -3*c + 8 = 4*b - c. What is the second smallest value in f, r, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427 minutes before 11:45 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: 138881218180+0.73\nAnswer: 138881218180.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 4. Let q be w(-4). What is the units digit of ((q + 2)\/1)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*c = 201 + 515, -5*c - 1497 = -2*u. Suppose -u + 166 = -2*a. Calculate the highest common divisor of 30 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - w - 7 = 0, 915*w = -4*r + 916*w + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 2 - 2 + 527*v**2 - 525*v**2 + 2*v**4 + 2*v + 353*v**3 - 4 as i*v + h + n*v**2 + q*v**4 + p*v**3 and give p.\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*u + 28 = -8*u + 682. Let l be -7 - (-2 + -1 + -1). Sort l, 4, u, -9 in ascending order.\nAnswer: -9, u, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1105 and 18615?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9)*k*k**0\/k)\/(k\/((k**(-3)*k)\/k)*k**5\/k)*(((k*k*k\/(k*k\/k**(-1\/9)))\/k)\/(k*k**5\/k))\/(k\/(k**1\/k))**41 assuming k is positive.\nAnswer: k**(-485\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + a + 2*a)*(6 + 2 - 4)*(0*a - 3*a + 0*a).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 4:12 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l - 70. Let p be z(19). Let n be 2\/p - 644\/(-138). Solve 0*d - d + 4 = 0, 3*j + 5*d - n = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 304 + 942 = 0. Suppose -b = 4*y - 366. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73430551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 132 in -1, -14, 4, 1.12, 0.005?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/sqrt(5)*3 + 3*(sqrt(19) + sqrt(19) + 2))**2.\nAnswer: 108*sqrt(19) + 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 - 3*r**4 - 13*r + 11*r + 2*r**3 + 2*r**2 - 3*r**3 as a*r + j*r**4 + n + t*r**3 + w*r**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/6 + -6*(-6)\/(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5110 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 53824.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1272767?\nAnswer: 31, 41057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) -5 (b) -0.2 (c) 3 (d) -0.1 (e) 7\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 27032064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a millennium in years?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -215 + 214. Which is the nearest to q? (a) 5\/4 (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7368*l**2 - 17964*l**2 + l + 10534*l**2.\nAnswer: -62*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/3)\/((-4)\/2). Let d(h) = 8*h**2 - h**3 - h**2 - h**2 - 4*h - 4. Let x be d(5). What is the closest to 0 in x, 5, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 + -0.64. Let c = l + 0.525. Let a = 0 - c. Round a to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -827535 + 1349134. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-857)\/(-12) - (-39)\/(-52))*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4793, 9659, 14527, 19397, 24269?\n\"Answer: a**2 + 4863*a - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -335 - -480. List the prime factors of i.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 183529 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 227*g - 155*g - 35568. Suppose -v - t + 16 = 5, 5*v - 67 = t. What is the highest common divisor of v and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((60\/10)\/6). Is 1\/94 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/838262 and 143\/48.\nAnswer: 20118288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1010 - 51514\/51. Let o = 326\/255 + b. Find y, given that 2\/5*y**2 + 0 + o*y = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -9a22?\nAnswer: 9a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 5, -214, 2\/7, -32, 4, -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-10)*-4 + -2. Let u(c) = -c - 2. Let s be u(-19). Let n(z) = 0*z + 25 - 37 + 2*z + s. Give n(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154558.\nAnswer: 2, 77279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/(-10)*(-34)\/357. Which is the nearest to 2? (a) 0.3 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133435692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*m**2*r**2 - 3*a**2*m**2*r + 1093*a**2*m*r**2 + 157*a**2*r - 2*a*r - m**2 wrt r?\nAnswer: 4*a**2*m**2 + 2186*a**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l + 136*l = -5585 + 1974 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-460)\/20 - (-20 + 11)) + 158\/4.\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 divided by 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 1784.73?\nAnswer: -1784.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.757652 + 2215.\nAnswer: 2213.242348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 278069 and 11?\nAnswer: 278069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -878 + 1204. Calculate the remainder when d is divided by 48.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 13 - 4)*(-4 + 1 + 5)*(-2*r**3 + 3*r**3 + r**3).\nAnswer: 56*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -454053886 divided by -2?\nAnswer: 227026943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -1835.569?\nAnswer: 917.7845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**12*b)\/(b**(-10)\/b))**(3\/11) assuming b is positive.\nAnswer: b**(72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s + 6. Suppose -a = -2*h + 12, -6 = -h - a - 3*a. Suppose 6 + h = d. Let g be (d\/18)\/(1\/6). Determine t(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8775 and 300.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -120, -241, -362?\n\"Answer: -121*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 122441\/18 + -6804. Find the common denominator of w and 91\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -153 and 0?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - -11. Let t be 3\/18 + 61\/(-6). Let o = c + t. What is the greatest common factor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110485847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 38.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 - 6*i**4 + 13*i**4 - 3*i**4 + (-3*i**2 + 5*i**2 - i**2)*(6*i**2 + 0*i**2 - i**2) + (-739*i - 31*i**2 + 739*i)*(0*i**2 + 3*i**2 - i**2).\nAnswer: -53*i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7047, 7210, 7361, 7494, 7603, 7682, 7725?\n\"Answer: -o**3 + 170*o + 6878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3439 less than -8517.1?\nAnswer: -5078.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 469, 1383, 3099, 5869, 9945, 15579?\nAnswer: 23023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by 1005?\nAnswer: 31\/1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 43825*y**2. Let w(u) = 3*u. Calculate w(g(h)).\nAnswer: 131475*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24450 - 24445. Sort 1.8, 0.3, 1\/13, -2\/5, q in decreasing order.\nAnswer: q, 1.8, 0.3, 1\/13, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.85686 - -0.14314. Let x be (1 + -3 + -2)\/(-2). Let s = 1.4 - 0.4. Which is the third smallest value? (a) x (b) s (c) i (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Let g(k) = -k**2 + 9*k - 9. Let d be g(8). Is d greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5 + 2028*p**4 + 307456*p**3 + 12713892*p**2 - 307458*p - 12715920 = 0. What is p?\nAnswer: -840, -87, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 - -80. What is the least common multiple of z and 338\/(-2197) + (-158)\/(-26)*2?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c - 5*c**4 - c - 55*c**2 - 66*c**2 + 4*c**4 + 2*c**3 in the form x + d*c**4 + w*c**2 + z*c + m*c**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -754, -2770, -6120, -10798, -16798, -24114, -32740?\nAnswer: -42670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3277, 4846, 6429, 8032, 9661, 11322, 13021, 14764?\nAnswer: 16557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {s: 3, f: 6, n: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*z + 3, -h + 5*h + z - 7 = 0. Factor 0*u**2 + u**3 - u**2 + u**h - u**2.\nAnswer: u**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 3*l - 1, -j - 3*l - 6 = -19 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -21*j - 29 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 788849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -398.8 + 399.3. Which is the nearest to 85? (a) n (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -18, -105, -280, -573?\nAnswer: -1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-7) + (-4 - -5). Let a = 3 - 2.8. Sort o, a, -3.\nAnswer: -3, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322544146.\nAnswer: 2, 161272073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -3a?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 4:59 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 + 5 + (-36 - -41)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17323496*b**3 - 483*b**2 - 9671?\nAnswer: -103940976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140321421 - -21?\nAnswer: 140321442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702 = 292*m + 1286 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 1. Let x(b) = -8*b**3 - 4. Suppose 0*v + 3*v + t = 3, 2*t = 0. Give v*x(u) - 4*w(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 - 10 - 19)*(16 - 16 + 12*q) in the form x*q + c and give x.\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - s + 281 = 0, -7*s + 565 = -4*j - 2*s. Let c = j - -145. Solve -4*h = -t - 4*t - 33, 4*t - c*h = -30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) - (sqrt(120) - (sqrt(120) + 2*(-1*sqrt(120) - sqrt(120)))))\/(sqrt(100)\/sqrt(2)))\/(((2*sqrt(120) + sqrt(120))*-6)\/(-4*sqrt(10)*1)).\nAnswer: -2*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -983, -1058, -1277, -1712, -2435, -3518, -5033?\nAnswer: -7052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 72300?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s. Let r = 252 - 203. Let p(n) = -33 - 24 + 18*n - 11*n + 58 + r*n. What is p(j(d))?\nAnswer: -56*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*x = 72*x - 258805. Calculate the lowest common multiple of 35 and x.\nAnswer: 9485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78841811 is divided by 1495.\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 150\/1781 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 5*j**2 - j - 2. Let l be g(-5). Let k(m) = -11 - 16*m + 10*m + 9*m. Let r be k(7). Solve -r = -l*u - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-77))\/(30\/(-145) + (-1781)\/(-27811))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 2*l - 6. Let o be s(5). Let p be (-3)\/6*-8 + 32. Calculate the greatest common divisor of p and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3\/x*x)\/(x\/(x**22\/x)*x)*(x**(2\/3)\/x*x)\/x**21)**(2\/53) assuming x is positive.\nAnswer: x**(10\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 5*a**2 + 9*a - 3. Let n(o) = 8*o - 54. Let y be n(7). Suppose z + 14 = 5*k, -y*z + 5 = 2*k - 15. Determine b(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**5\/3 + 665*d**4 - 8725*d**3 - 299215*d**2\/3 + 107800*d = 0. Calculate d.\nAnswer: -8, 0, 1, 21, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 2:27 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14303, -14232, -14039, -13664, -13047, -12128, -10847, -9144?\nAnswer: -6959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2205)*1 - sqrt(2205)) - (-1 + sqrt(45) + sqrt(45) + (sqrt(495)*3)\/sqrt(11))) + 0 + -1.\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*q - 3 - 16*q**2 + 17*q**2 + 2*q wrt q?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3*v**2 - 11*j**3*v + 2*j**2*v - 106*j*v + 2*v**2 wrt j?\nAnswer: -6*j*v**2 - 66*j*v + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13492555 + 13492553.2999951. Let d = -12.3 - -14. Let i = d + r. Round i to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16798568.\nAnswer: 2, 2099821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2\/3, 0.4, -2, 3 in descending order.\nAnswer: 18, 3, 2\/3, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a + 151. Calculate the remainder when z(13) is divided by 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*m - 3*m + 58, 0 = 2*m - 5*g - 30. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 + (-2)\/(-3). Suppose -16*l + 3*d + 34 = -11*l, 3*d = l - 14. Suppose -l*a + r*a + 150 = 0. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4\/5, 9, 0.1, 0.12.\nAnswer: -4\/5, -0.4, 0.1, 0.12, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/60)\/(2\/((-24)\/27)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.3 - -10.3. Which is greater: n or 10\/3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95412?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b36 - -b12?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 8*m**2 - 3 + 8*m**2 - m**3 + 11*m - 20*m**2 + 8*m**2. Let x be f(6). Let r(z) = z**3 + 8*z**2 - 12*z + 6. What is the units digit of r(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1593 is divided by 247\/39 + (-2)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 961*q - 2885. Calculate r(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2671, 5303, 7899, 10459?\n\"Answer: -18*h**2 + 2686*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 13. Let w = 2110.8 - 2111. Which is the nearest to t? (a) -1\/8 (b) -3 (c) w (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34139 (base 10) to base 5\nAnswer: -2043024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -1)\/(((-400)\/(-48))\/25)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1342381397 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 593*a - 594*a = -2190. What are the prime factors of a?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6795011*x**2 + 261106*x + 26?\nAnswer: 13590022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25634527 to the power of 1\/3, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**7\/525 + a**6\/100 + a**5\/75 + 44*a**2. Factor o(i).\nAnswer: 2*i**2*(i + 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/7)\/t**(1\/14))\/(t**(-13)*t**(-7\/6)\/t) assuming t is positive.\nAnswer: t**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-25) + (-88)\/(-10). Let u = t - 233. Calculate the common denominator of ((-1218)\/u)\/(2 + 7\/(-2)) and -69\/70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/190980 and -41\/101856.\nAnswer: 1527840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 92260 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: In base 12, what is -92a77 + -2?\nAnswer: -92a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1 = -8. Which is bigger: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*3)\/((-1)\/((-8)\/16))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2068.51 to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8887501 to 2 dps.\nAnswer: 0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, n: 1, x: 1, t: 3, k: 7}. What is prob of picking 1 n, 1 g, and 2 t?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2136 by -178.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 8. Let r(p) = 0*p - 12*p + 6*p - p**3 - 5*p**2 - 3 + 2*p**t. Give r(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 129*v + 2948. Let l be x(-24). Sort l, 8, -5, -3 in descending order.\nAnswer: 8, -3, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.08 (b) 2 (c) 3.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3289767*w**5 + 4*w**4 - 738880*w**2 - 10*w + 1?\nAnswer: 197386020*w**2 + 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 3706.\nAnswer: -3706.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 11:42 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/12*-3*(-25)\/(-20). Sort -1\/7, 6\/7, 3, u in decreasing order.\nAnswer: 3, u, 6\/7, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1654988 = -5*z, z + 8*a + 331020 = 13*a. Round z to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.01, -1699, 0.43, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 * 5.5.\nAnswer: 181.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, 8, 12, 6, -16, -60?\n\"Answer: -a**3 + 4*a**2 + 3*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/6 + 203003*g\/3 + 41210218009\/6.\nAnswer: (g + 203003)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 - 109 = -8*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162046 is divided by 4154.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*t - 44 = 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 3*b + 3*b + (2*b - b - 2*b)*(-3 + 3 - 6) + (2*b + 2 - 2)*(4 - 3 - 3) + 0*b - 4*b + b to the form x + p*b and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30252898 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5236*a**5*b**2 + 9*a**3*b**2 + a**2*b**2 + 2*a*b**2 - 1184*a*b - b**2 wrt a.\nAnswer: -314160*a**2*b**2 + 54*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/1)\/(-1))\/(((-1860)\/31)\/(-180))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 minutes before 10:00 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + 2*b + 0*b)*(2*b - 3*b + 0*b) + 25*b - 25*b + 6*b**2 + (-6*b + 5*b + 6*b)*(-3*b + 5*b + b) as j + p*b**2 + d*b and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 1. Let f(x) = -7*x - 8. Let w(u) = f(u) + 5*y(u). Suppose 2*h = s + 135, -7*h - s + 255 = -3*h. Let t = h - 67. Give w(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404*j**2 + 682*j**2 - 212*j**2.\nAnswer: 874*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 22035 divided by -222\nAnswer: -7345\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10774 (base 9) to base 16.\nAnswer: 1c1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 36344614554.29 and -1.\nAnswer: 36344614553.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -369944448359 less than 0.2?\nAnswer: 369944448359.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 14 = 3*z, 15*z = 17*z + 3*d - 5. Solve 4*h + z*h = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3\/2, 2\/3, 10, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 6*b - 3. Let d = 3 - 7. Let k be q(d). Let m(v) = -v + 11. Calculate m(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -7*k**2 + 211*k + 442. Determine s(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 47. Which is the third smallest value? (a) -4 (b) -1\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50925448, -50925443, -50925438?\n\"Answer: 5*j - 50925453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*g**2 + 7*a**2*g - 1346*a**2 - a*g**2 - a*g + 152*g - 22 wrt a?\nAnswer: -4*g**2 + 14*g - 2692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 4. Let o be s(-4). Let y be o\/8*(1 - 1). Let d be -30*(0 - (y - -1)). Calculate the greatest common factor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 7:28 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 476 and 110194?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)*-3)\/sqrt(3) + sqrt(2) + (-1 + sqrt(2) + -1)**2.\nAnswer: -6*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1\/2, -5, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -322.7, 24, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17304 and 28.\nAnswer: 17304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 145*h + 32. Let c be d(4). Let y = -606 + c. Solve 21 - y = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 t when two letters picked without replacement from tooowttw?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-8)*74)\/(6\/12). Suppose -32 = -x*k + 33*k. Which is smaller: k or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r - 6. Let k be i(9). Let b be (k\/9 + -3)*22. Put b, 1\/2, -4 in decreasing order.\nAnswer: b, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 - j**3 + 0*j**3 + (-2*j**2 + 4*j**2 - 3*j**2)*(-2*j - 2*j + 6*j) + 0 + 0 + j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1494247721?\nAnswer: 43, 2689, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -64*w**2 - 2. Let o(f) = 18179*f. Determine o(r(x)).\nAnswer: -1163456*x**2 - 36358","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 132329041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007729 < 2007783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 2 - 0\/(-3). Suppose 4 = -d + x. Let q = d - -3. Which is smaller: 1\/2 or q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 41*k - 95. What is y(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -91129541736 - -4.3\nAnswer: -91129541731.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttptpptttpppp. What is prob of sequence ppt?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/3))**(1\/48)*w**(1\/2)*w**(-2\/5)*(w**(1\/11)\/((w**(-4\/7)*w)\/w))\/(w**(-2\/7)\/w)**1 assuming w is positive.\nAnswer: w**(113159\/55440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -22.8\nAnswer: -9.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 17 = -h, -2*h + 12 = 2*h. Calculate the remainder when l is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -11. Let i(u) = -u**3 + 4*u**2 + 3*u - 4. Let q(f) = f + 6. Let z be q(-3). Let w be i(z). Calculate the highest common factor of w and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 40 = -r, 31 - 21 = 8*x - 22 for r.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5843*h**2 - 5858*h**2 + 11690*h**2. Let n(b) = 9*b + 4*b**2 - 9*b. Determine n(j(f)).\nAnswer: 484*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.72 - -1.32. Put 5, -0.4, k in increasing order.\nAnswer: k, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4242\/(-63))\/(20\/12 - 2). Let p = c - 161. Solve a - 38 = -p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (665\/(-532))\/(((-4)\/130)\/(11\/(55\/(-8))))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**6\/120 - r**5\/10 - 7*r**2. Let a be y(-6). Solve a = -3*t + 2 - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 0 + 4\/11*r - 10\/11*r**2 + 8\/11*r**3 - 2\/11*r**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12 - (0 - (3 - 3)). Suppose p = 3*f - 15, 2*f - 3*p = 5 + v. Solve -5*t + f = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*d - 15. Let v be ((-2)\/(-4))\/(d\/(-18)). Let g(i) = -i**2 + 6*i - 3. Let y be g(5). Solve 3*p - y = k, 4*k = 2*p - 5 - v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -3*s. Let y(o) = o**2 + 3*o - 1. Let b be y(-5). Let n = b - s. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -k + 586, -12*k + 11*k + 9*m = -575. Calculate the remainder when k is divided by 98.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 193 - 217 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-120)*-5*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*w + 98*w = 2*d - 106, -16 = 4*d. Suppose -4*h + 8 = -4*j - j, 0 = -3*h + 6. Let g(q) = -q**3 + q**2 + 38. Let x be g(j). Is w smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - u**2 + u - 1. Let r(h) = -64*h**3 + 2*h**2 + 2. Calculate -2*g(y) - r(y).\nAnswer: 66*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 + 64*h + 56*h - 120*h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 39.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 18 = 7*x + 3*a, 4*x - a = 20. Let s(k) = -8*k - 40. Let u(d) = 9*d + 40. Let r(w) = x*s(w) + 5*u(w). Find the first derivative of r(q) wrt q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 - 14*m**2 + 7*m**2 - 2*m**2.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i + 1. Let w(s) = 11*s - 102. Give -w(q) + 6*z(q).\nAnswer: q + 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - 8*r + 5. Let s be h(-6). Let f = -17 - s. Solve -f*x = -7*x - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122876 divided by 442.\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 21*i - 3. Let m(t) = -21*t + 2. Give 5*m(d) + 4*o(d).\nAnswer: -21*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 14) in base 16?\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 26295*t + 262943. Determine j(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*z + 4*z - 3*z)*(1 + 9 - 3) - 2*z + 0*z + 3*z)*(5*z - 3*z - 3*z).\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-2)\/196*-6*(-2)\/12?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + b**2 - b + 2. Let c be i(0). Suppose 0 = -c*t - 4*k + 16, 5*t + k + 15 - 37 = 0. Suppose -t*j = -2*j. Solve 0 = -2*o - j*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/1992 and 35\/15608?\nAnswer: 3886392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -40*u**5 - 394*u**4 - 568*u**3 + 266*u**2 + 608*u + 128 = 0.\nAnswer: -8, -8\/5, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v + 2. Let q(k) = -7*k + 4. Let z = -39 + 5. Let u = z + 23. Give u*d(t) + 6*q(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(363)*-1)**2 - sqrt(363)).\nAnswer: -55*sqrt(3) + 1815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*w + 37*w + 82*w + 72*w in the form x*w + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b + 2. Let m be c(-1). Is 22 a factor of 484\/(-55)*(-50)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1097678*s - 366511?\nAnswer: -1097678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(3\/2)*(-6)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/5 - 4*r**3\/5 - 422*r**2\/5 - 2576*r\/5 - 3528\/5 = 0 for r.\nAnswer: -7, -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 5*u + 2. Suppose -9 = -5*p + 1. Suppose -5*m = -5*s - m, 0 = -3*s - p*m + 22. Let o be (-1)\/s - (-45)\/(-12). What is a(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.209 and -13.8.\nAnswer: -14.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 357 and 19824?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -10010?\nAnswer: 10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (93\/(-124))\/((-45)\/(-84)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3718, 7339, 10960, 14581?\nAnswer: 18202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 15*m**2 + 21*m - 8. Let p(n) be the second derivative of -n**3\/6 + 19*n**2\/2 + 35*n. Let g be p(3). What is the units digit of b(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 655397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -19777769 >= -19777731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7958672?\nAnswer: 2, 497417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 430 + 4128. What are the prime factors of k?\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r. Let u(g) be the first derivative of -7*g**2\/2 - 2. Let t(l) = -6*i(l) - 5*u(l). Let o(c) be the first derivative of c**2\/2 - 2. What is t(o(j))?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = k - 70, 5*t - 105 = k - 5*k. Suppose t = 5*d - 160. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 9:10 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*y, 4*y + 120290 = 6*k - 0*y. List the prime factors of k.\nAnswer: 5, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 45257, 90777, 136555, 182591?\n\"Answer: 129*n**2 + 45133*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45112 - 20*z**2 + 45112.\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 - 29. Suppose -4*m = -8*m + 224. Calculate the highest common factor of m and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 21*q**2 - 7*q - 26. Calculate p(21).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -291 - 143. Let j = -178 - s. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 3. Let m(c) = 4*c**2 - 1. Let z be m(-1). Let p be b(z). Solve -s = s - p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*h - 178643 = 524752. List the prime factors of h.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 c, and 1 d when three letters picked without replacement from znhmhdc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73 - 104) + (64 - -64).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6093239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 328644*p**2*x**4 + p**2*x - 1583*p*x**2 wrt x.\nAnswer: 7887456*p**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27964192 equal to 27964190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004426049 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 - 718*w - 58728. Give k(-233).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three sixteenths of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5099.64 rounded to the nearest 10?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -621 + 41. Let j = 579.98495 + w. What is j rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n. Let b(v) = 5*v - 6. Let x(k) = 45*k - 55. Let m(a) = -55*b(a) + 6*x(a). What is f(m(t))?\nAnswer: -35*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 0.4, 1, -6\/239, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-10)*1 - 3. Let x = -3 + 4. Which is the closest to -1? (a) x (b) d (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -6 - (4 - 3) - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*v - 4*n, 2*n = -0*v - 5*v + 68. What are the prime factors of (2 - 63\/(-14))\/(2\/v)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 38028313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36.42281 + -37.718. Let c = 1.29 + d. Round c to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7203, 4, -1, 2 in decreasing order.\nAnswer: 4, 2, 1\/7203, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 34126, 34127, 34130, 34135, 34142?\n\"Answer: p**2 - 2*p + 34127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 - -2)\/(720\/180). Let c = 24 + -37. What is the closest to -2\/3 in -0.5, 1, c, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/24*-18)\/(-15).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -797 and 0.3.\nAnswer: -239.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142 and 1806382.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, -1, 116 in descending order.\nAnswer: 116, 7, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1166 (b) 1 (c) -8 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(2 + ((sqrt(27)\/sqrt(3) - sqrt(9) - sqrt(9))*-2)\/(3*sqrt(3)*1)).\nAnswer: 2*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**4\/10 + 142*m**3\/5 - 11448*m**2\/5 + 22472*m\/5 - 630. Find n, given that v(n) = 0.\nAnswer: 1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**4 - 6*v**3 - 504*v**2 + 1014*v - 507 = 0.\nAnswer: -13, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -170, -97, -1, 4, 445 in ascending order.\nAnswer: -170, -97, -1, 0, 4, 445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(539) + sqrt(11) - (-5 + sqrt(88)\/sqrt(8)))**2.\nAnswer: 42*sqrt(11) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247798 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21\/49)\/(9\/(-22)). Let l = t + 16\/21. Let y be -2*(-3)\/6*1. Which is greater: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.51825.\nAnswer: 2.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481.\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*6*(-5)\/15\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/107 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*w + 3*m = 205*w + 1, -4*w - 17 = m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/7, 4, 3, 0.132?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30072, 30071, 30070?\nAnswer: 30069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1109*m - 732 = -1062*m + 255 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*g + 5*u - 1, g + 19 = -5*u. Let s = g + 7. Solve 2*m = -s*m + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by -672186.\nAnswer: -55\/672186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 3:42 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1591*g + 585414. Give v(-368).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**2\/2 + 7. Let f(q) = 4*q**2 + 3*q - 3. Let j(r) = -5*r**2 - 4*r + 4. Let d(y) = -4*f(y) - 3*j(y). What is g(d(k))?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -169*b**2 - 2*b - 233*b**2 + 8 + 397*b**2 + 55*b**4 in the form u*b**3 + v*b**2 + n*b**4 + q + x*b and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c - 61. Let o be r(25). Solve o*z = 11*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhls when four letters picked without replacement from blsqsbbbblhl?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2870816275 + 830\nAnswer: -2870815445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*s**2 + 0)*(2 - s**2 - 2) - s**4 - 2*s**4 + 2*s**4 - 27 + 27 - s**2 - s**3 - 3*s**4 as n*s**4 + u*s**3 + q*s**2 + f*s + b and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from lisllilss.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k**2 + 98*k + 32 = 0 for k.\nAnswer: -16, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10324 + -606. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96 - -100. Suppose 4*m - n = -27, -2*m - 1 = 5*n - c. Let s(q) = -2*q**3 + 9*q - q + 4 + q**3 - 5*q**2 + 3. Give s(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 4\/2 - -1. Let s(x) = -x + d*x + x. Let m(k) be the third derivative of k**5\/60 - 56*k**2. What is s(m(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(2916)\/sqrt(3) - sqrt(12)) + sqrt(42)\/(sqrt(60)\/(sqrt(10)*-1) - sqrt(6)))**2.\nAnswer: 63\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 1 + 7 + 389 + -385.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*c - 3*c = 53, 3*f = -4*c - 68. Let g be 0 - (-2 - (f\/(-2) - 2)). Suppose g*o - 9 = 7. Solve -4*l - 39 = -4*a - 7, -o*a = -5*l - 25 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((-4)\/(-2)) - 2. Suppose 763*d = -1588 - 4516. Is d greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 5*z + 2. Let i be p(-6). Let k(y) = 15 - y**3 - 7*y + 5 + 10*y**2 + 2*y - 13*y. Let b be k(8). Put 1\/3, -2\/7, i, b in descending order.\nAnswer: b, 1\/3, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3 - 1. Suppose 5 = m*b - 1. What are the prime factors of (-2 - (-4 + 0))*b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -7.8. Let b = -7 - v. Let u = -2.2 + 2. What is the second biggest value in -2, u, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39223, -39128, -39031, -38932?\nAnswer: -38831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjzjzjjjjj. What is prob of picking 3 j?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -544984, -1089905, -1634826, -2179747?\n\"Answer: -544921*w - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 7*i**2 - 10*i + 21. Let m be w(8). Solve 5*p + 3 = 4*k - 25, 0 = m*k - 3*p - 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 8*r + 105. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 103, 254, 539, 1006, 1703, 2678?\nAnswer: 3979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2 - 2*h. Let f(u) = -10*u**2 - 7*u. Suppose -50 = 99*p - 74*p. Determine p*f(c) + 7*g(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yywv when four letters picked without replacement from {v: 2, e: 5, y: 2, x: 1, w: 1, p: 4}.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 22*j - 4*j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - p = 0, 4*p = -3*g + 19 - 4. Let x = -11 - -7. Let k = -109\/3 + 36. What is the nearest to g in k, x, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 1*sqrt(77)*2)*-2)\/((sqrt(7) + (sqrt(7) - sqrt(7)*2))*2 + sqrt(7) - (1*sqrt(14)\/sqrt(2) + sqrt(7))).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -1\/11 (b) 0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1.66, 3, 1.2.\nAnswer: 0.2, 1.2, 1.66, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*p - 9. Let h be 4*(-3)\/(-42) - (-1298)\/p. Suppose 3*q + h = 3*d, 2*d - 2*q - 77 = 3*q. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 27*v - 7. Let m(k) = 41*k - 11. Let w(f) = -8*g(f) + 5*m(f). Suppose -2*b = -0*b, q + 5*b = -1. What is the tens digit of w(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4*b)\/(b\/(b\/b**1)))**(6\/7)\/(b**(2\/23)\/b*b**0)**(-22) assuming b is positive.\nAnswer: b**(-2682\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10507*v**3*z**4 + v**3*z**2 - v**3 - 127*v**2 - 8 with respect to z.\nAnswer: -42028*v**3*z**3 + 2*v**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*r + 95 = 0, -48 - 35 = -k - r. Calculate the remainder when 2491 is divided by k.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46.19 - -46. Put 0.3, 0.4, -3, m in increasing order.\nAnswer: -3, m, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -2\/21*m**3 + 0 - 2\/35*m**5 - 11\/84*m**4 + 6*m**2 + 3\/140*m**6 + 0*m. Suppose y(p) = 0. What is p?\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4960695 to the nearest integer?\nAnswer: 2227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*n + 81*n + 35*n - 5698. Calculate the remainder when 8952 is divided by n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716707333.\nAnswer: 347, 653, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 + 35 = 2*m - 3*o, 2*m - 4*o = -14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 6 - (-15 + 7 + 10 + (10 - 2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 936*z + 72 = 945*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2696 and 6640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 0.5, -35, -1.6, 5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -233?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -29, -90, -169, -260, -357, -454, -545?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v = -26*w + 27*w + 292, 0 = 4*w + 3*v - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9 - -4) + (-16)\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/5 of a centimeter?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138 + -150. Let w(a) = -a**2 - 18*a - 20. Let m be w(l). Is 53 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - sqrt(1100)*2)*4)**2 + 0.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 + 3*f**2 - 4*f. Let h be k(5). Let j = h + -165. Suppose 3*u - 127 = j. What are the prime factors of u?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 729.2 to the nearest 10.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 13 = -10. Solve 0 = b*t + 18 - 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbd when three letters picked without replacement from {v: 3, b: 4, g: 1, i: 1, u: 1, d: 5}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, -3, 5 in ascending order.\nAnswer: -6, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 25*p**2 + 4491444365*p - 1796577750 = 0.\nAnswer: -179657775, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 22) + (2 - 0) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -2) + 2 - -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 17*f**10\/151200 + 11*f**6\/720 + 17*f**5\/60 + 33*f**2. Let s(h) be the third derivative of m(h). Differentiate s(r) wrt r.\nAnswer: 68*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4162 - 2*i**2 + i + 0*i**2 + 3808 - 2*i**3 in the form h*i + w*i**3 + g + v*i**2 and give g.\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1402 is divided by 57?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -982 - -2?\nAnswer: -980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (268\/(-12))\/(2*3\/(-666)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4788\/931)\/(2*3\/(-21)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -1 + (19 - -11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-115)\/15 - -7)\/((-4)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 6, -0.2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a minute in seconds?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10711 - -1?\nAnswer: -10710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*k - 15*k - 11*k + 18*k**3 - 87*k**2 + 14*k**6 + 42*k - 7*k wrt k.\nAnswer: 1680*k**3 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.12 from -428436.\nAnswer: -428434.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3125*x**3 + 5*x**2 + x. Is m(-1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24 + -440)\/(-26) - -219. Solve h*s - 253*s = -108 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, -1, -3, 0, 95, -280 in descending order.\nAnswer: 95, 3, 0, -1, -3, -7, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2. Let c(o) be the third derivative of -49*o**4\/24 - 70*o**2. Give r(c(z)).\nAnswer: -2401*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*((r*r**11)\/r)\/r*r)*r*r\/r**(-6)*r)**(13\/3) assuming r is positive.\nAnswer: r**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 32*j - 369. Let u be g(-41). Solve 4*l + 4*s = 0, 3*s + 3 - 6 = u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvvi when four letters picked without replacement from fiuiviiviuiu.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000508373 to 7 dps.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**5\/80 - p**4\/16 - 5*p**3\/12 - 60*p + 79. Let n(d) be the first derivative of k(d). Factor n(b).\nAnswer: b*(b - 5)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 4. Let k(d) = -d**3 + d**2 + 6*d - 3. Let h(v) = -v**3 + 5*v - 3. Let b = 7 + 0. Let o(w) = b*h(w) - 6*k(w). What is o(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120764116 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -10.4.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23\/12 + 125\/84. Let q = -0.47 - 29.53. Let g = q + 29. What is the smallest value in w, g, 5, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23374 (base 9) to base 4.\nAnswer: -3310003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -5 + (710\/(-497))\/(4\/(-182)) and 2538?\nAnswer: 25380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 10:44 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 3. Let r(x) = 4. Let h(p) = 2*m(p) - 3*r(p). Let n = -9 - -7. Let f(i) = 3 - 37*i + 13*i + 23*i. Calculate n*h(g) - 5*f(g).\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 3*x**2 + 3)*(-x + x - 2*x) + 5*x**3 - 4*x**3 + x**3 + 3*x**3 + x**3 + x**3)*(2*x + 2*x**2 - 2*x).\nAnswer: 26*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 11 = 3*x, -13 = -x + 6*x + 3*f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 14*x**2 + 21*x - 32. Let g be o(-12). Let y be (-1)\/((10\/g)\/1). What is the smallest value in -1, 6\/5, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 510 and 622455?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 321\/45 + 2 + (-14 - 1248\/(-90))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 12*i - 16*i + 7*i. Let m(j) = -2*j. Calculate d(m(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19897838\/1046619 + 72\/16613. Let v = k + -130\/7. Let w = -4790\/19 - -252. What is the second biggest value in 2\/9, -0.5, v, w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -896403.\nAnswer: 8\/896403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -1111.\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o*u + 3462805*o + 874688*u with respect to u.\nAnswer: -2*o + 874688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 145 - 39. Let f = k - 73. Let b = 76 - f. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*a + 3*x - 10, -4*a = -2*x + 20 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 745 + 2523 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/1 - 1*-2. Suppose y - 12 = -2*c. Suppose -c*x + 1714 = -134. Calculate the greatest common factor of x and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5\/15 - 3286*x**4\/15 - 3724*x**3 + 9509536*x**2\/15 + 9562112*x\/15 = 0. What is x?\nAnswer: -1624, -64, -1, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - ((9 - 8) + -11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 - 2*l**3 - l**3 - 3*l**3 + 4*l**3 + 0*l**3 + (2 - 1 - 2)*(-l**3 + 0*l**3 + 0*l**3) - 4*l**3 + 5*l**3 + l**3)*(19*l + 119 - 119) + 1 + l**4 - 1.\nAnswer: 96*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 231372 and 694116.\nAnswer: 694116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5873128 is divided by 489427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 242248956, 242248960, 242248966, 242248974, 242248984?\n\"Answer: g**2 + g + 242248954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 5*p - 3. Let o be g(-6). Let z = -5 - -7. Suppose -4*m - 7 - 5 = 2*h, 0 = -z*h - 3*m - 7. Are h and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3116175248.\nAnswer: 2, 2963, 65731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23266980 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**3\/2 - 55*m**2\/2 - 1468*m - 966 = 0.\nAnswer: -23, -2\/3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**3 - 6*m**2 + 3*m - 158. Let r(i) = -5*i**3 + 8*i**2 - 4*i + 159. Determine 4*k(v) + 3*r(v).\nAnswer: v**3 - 155","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 43 = 5*y - 0*y, 4*y - 11*g = -9*g + 13 + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -17. Let o = -8 + m. Suppose 3*y - 18 - 45 = 0. Solve -31 = 2*a - 0*l + o*l, -3*l - y = 2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 531402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(64) - (sqrt(64)*-1*5 - sqrt(64) - sqrt(64))))\/((-4*(sqrt(32)\/sqrt(4) - sqrt(8)) + -1*sqrt(128))*1).\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -276*s + 14379*s - 229744 - 28293 - 545834 for s.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 10371.9, -6 in decreasing order.\nAnswer: 10371.9, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32738 or 0.21?\nAnswer: -32738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from {v: 1, e: 1, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-49275)\/(-90))\/(-73)*(9\/15 - 11\/(-15))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/5, 2\/9, 0, -2, -80093.\nAnswer: -80093, -4, -2, 0, 2\/9, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x + 18. Let c be j(-9). Suppose c = s - 29 - 43. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/24 (b) -0.3 (c) 1.77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11 + -1)\/(10\/5). Suppose 422 - 87 = j*p. Let b = -23532 - -23549. Calculate the remainder when p is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13462386, -26924820, -40387254, -53849688, -67312122?\nAnswer: -80774556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 5*v - 2. Suppose 3*r - r - 2*u = 14, -5*r = -4*u - 34. Determine i(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156651 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -11*x**2 + 37*x + 399. Calculate a(7).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -13. Suppose -y = -s - 2, 16 = 3*s + i*y - 13. What is the third derivative of 6*r**2 + 7*r**3 + 11*r**4 + 2*r**4 - 7*r**s wrt r?\nAnswer: 312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 1.1. Let x = 1\/39 + 37\/78. Put x, 4, q in increasing order.\nAnswer: x, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16309 and 1598?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 - -1)*(-200)\/140. Suppose y*j = 21*j - 726. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 + 161 = 47*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -s - 6*r, 3*s + 5724*r - 5705*r + 42 = 0 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3, -2, -9, -18, -29?\n\"Answer: -v**2 - 2*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o**2 - o + 5. Let a(w) = 7*w**2 - w - 1 + 7 + 2*w**2. Let y(k) = -4*a(k) + 5*v(k). Is y(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 499489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 9*l**2 + l + 27. Let v(k) = 10*k**2 + k + 33. Determine 6*r(d) - 5*v(d).\nAnswer: 4*d**2 + d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 - 12*f - 17*f**4 + 18*f**4 + f**4 + 2*f**2 to x*f**4 + t + m*f + r*f**3 + l*f**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 653425 to the power of 1\/2, to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -387\/1804 - 16\/451. Let o be (-275)\/396 - (-1)\/4. What is the fourth biggest value in f, 0, -24\/7, o?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880 is divided by 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3 - 302036166*z**2 + 7602153495628788*z + 15204308199402264 = 0. What is z?\nAnswer: -2, 50339362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2 (b) 0.1 (c) -11 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (6 + (-264)\/18)\/(-2).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9903 is divided by 86.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-5\/7))*(p\/(p*p\/p**25*p))\/p*(p*p*p*p*p**1\/p*p)**(-15))**(1\/17) assuming p is positive.\nAnswer: p**(-376\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/4 of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.02 (b) -3.1 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11566*-0.4.\nAnswer: 4626.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 9 + -15 - 6) + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 18*y - 47. Is s(4) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 127146?\nAnswer: 508584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 914468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11088 and 1351008?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34191.2 minus 0.4213?\nAnswer: 34190.7787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 496458844 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: Let q = -88205.5377 - -88144.4. Let d = -0.0377 - q. Round d to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16, -16, -14, -10, -4?\n\"Answer: t**2 - 3*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -5952, -4.\nAnswer: -5952, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7\/(-14) + 11\/2 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43090, 86176, 129262?\n\"Answer: 43086*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 2 (b) -2 (c) -3\/5 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-2 + 0) - (5 + 1 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 0, 0.1841?\nAnswer: 0.1841","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003125236465 to 6 dps.\nAnswer: 0.000313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 28\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1058844 is divided by 15803.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/15 + 20\/50. Let h be (4\/(-16))\/((-1)\/4). Let t be (h\/1 - -1)\/2. Which is greater: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1936270 is divided by 1131?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**(-8)*i)\/i*i*i)\/i**(-9))\/(i**21\/(i\/i**4)) assuming i is positive.\nAnswer: i**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 3 - 15)*(3*o - 6*o + 2*o) - 13*o + 2*o - 27*o to l + w*o and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116567?\nAnswer: 11, 10597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 3790775500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 518, 578, 616, 626, 602?\n\"Answer: -s**3 - 5*s**2 + 82*s + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhh. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*t - 1 - 1, 0 = t - 3. Let s(p) be the first derivative of 2\/5*p - 3\/5*p**i - 2 + 3\/10*p**4 - 2\/15*p**3. Factor s(o).\nAnswer: 2*(o - 1)*(o + 1)*(3*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 26318.\nAnswer: 131590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -32*a**3 - 669*a**2 + 54*a - 114. Calculate w(-21).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from {t: 1, f: 1, q: 2, k: 2, g: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 4 + 2 - 2 + 2 + 0 - 3 + 1 + (-3 + 4 - 3)*(0 + 1 - 3) + 11 + 5 - 8 - 6 - 2 - 8)*(-2 - 4 + 4 + 2*i).\nAnswer: -6*i + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 16 = 4*y, 2*n = -13*n - 0*n - y - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + a - 96. Let x(w) = w**3 + 12*w**2 - 9*w - 80. Let r be x(-7). Calculate the greatest common divisor of a and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 - 2319180 + 2319180.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2046439 and 4893?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125498, -251002, -376552, -502148, -627790?\nAnswer: -753478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097 divided by 177787?\nAnswer: 1097\/177787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1069923*s**3 + 490*s**2 - s + 50 wrt s.\nAnswer: 6419538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**6\/120 - m**5\/20 - m**4\/12 - 2*m**3\/3 - 42*m**2. Determine v(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 1128 + 172. Is o a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + (-65)\/(-15))*(-429)\/(-26). Let f(y) = 15*y**3 + 11*y**2 - 11*y. Let g(x) = 5*x + 5*x**3 + 2*x + 4*x**2 + 4*x - 15*x. What is t*g(k) + 4*f(k)?\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 minutes after 3:06 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/4633 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -24, -652, -2, 4, 5 in descending order.\nAnswer: 5, 4, -2, -7, -24, -652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 - 2079*y**2\/4 - 29919*y + 61915.\nAnswer: (y - 2135)*(y - 2)*(y + 58)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 + -91. Let c be 148\/10 - 6\/z. Suppose -r - 4 = -4*s, -4*s + s - 12 = 3*r. Solve 2*b + 3*b - c = s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 2. Let j(g) = -3 - 2 - 2*g + g + 2 + 5 + g**2. Let t(a) = 2*j(a) + 2*k(a). Let q(m) = -4*m - 5*m + 6*m. Give q(t(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*g + 69*g = -4*h + 4, -3*g = -3*h - 15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/12)\/(3\/(-8)). Solve z + 0 = s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**5\/12 - 5*p**3\/6 - p**2. Differentiate c(s) wrt s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -6. Suppose 2*y + f = 4*u - 15, 5*u + 3*y = 20. Solve -3*t - 7*l + 2 = -2*l, 2*l = -2*t + u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2010012 (base 3) to base 8\nAnswer: -3010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 15. Let o(j) = j**3 - j**2 + j + 3. Let z be o(0). Suppose z*r + r - 28 = 0. Calculate the least common multiple of q and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 + 110113?\nAnswer: 110222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y. Let u(v) = 3*v**2 - 45. Give u(i(c)).\nAnswer: 75*c**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6.78 * 0.2\nAnswer: 1.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 554 divide 353102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123 - -118. Which is the nearest to -1? (a) 5 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40916670.\nAnswer: 2, 3, 5, 167, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -41323 (base 5) to base 2\nAnswer: -101010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**3 + 2*p - 2. Let k(c) = c**2 - 8*c - 208. Let t be k(19). Let h be o(t). Let b(s) = -4*s**2 - 2*s - 2. Determine b(h).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/272 and 61\/24.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 37*t**2. Let k(w) = -2*w**2 - 5*w. Give a(k(y)).\nAnswer: 148*y**4 + 740*y**3 + 925*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.03 and -9812096731.33.\nAnswer: -9812096731.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 317351816 a multiple of 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21546369 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 4*c. Let o be x(-3). Find the third derivative of o*z**2 - 5*z**3 - 4*z**2 - 2 + 2 wrt z.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**2 + 24*d**2 + 5*d**3 + 75*d**3 - 15*d**2.\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*t + 69*t = 23 + 365 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -4*c. Let d(u) = -2 - 3*u - c + 4. Let p(h) = h + 4 - 4 + 10*h. Give p(d(m)).\nAnswer: -33*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 442333 (base 6) in base 10?\nAnswer: 36849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 22 = -3*i, 14325*i + 3*x + 19 = 14326*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 419 - 254. Calculate the greatest common factor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 64\/37039 (c) 3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 17*z + 0*z)*(0 - 1 + 4 + (5 + 5 - 1)*(2 - 1 - 2)).\nAnswer: 102*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -5\/2*o**2 - 5*o + 14\/3*o**3 - 5. Is r(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*x - 393 - 842. Calculate the remainder when x is divided by 38.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*9\/(-432))\/(1\/(-1))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 64*n + 346. Calculate w(-19).\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1416 + 19d3?\nAnswer: 3009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 168.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, -490, -1360, -2578, -4144, -6058, -8320?\nAnswer: -10930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110902 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 95 - 51 - 43 - 57*z in the form p*z + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -746, 4.\nAnswer: -746, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**3 + 1 + 2*i**2 - 3*i**3 - 1 + i. Give m(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4647894 divided by -2323947?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 7*r**2 + 7*r - 6. Let k be d(6). Let h(z) = z**2 - 2. Let l be h(k). Sort l, 0, -4 in descending order.\nAnswer: 0, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833)*2*6*2.\nAnswer: 168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*-93232\nAnswer: -93232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 5\/15 + 71\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**2\/6 - 1163*n\/6 + 233\/3 = 0.\nAnswer: -233, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**5\/10 - 15*z**4\/8 - 77*z**3\/6 - 165*z**2\/4 - 63*z - 769. Suppose n(x) = 0. Calculate x.\nAnswer: -7, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37265 - 25746. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - j = -0*w, -3*w = -j - 4. Suppose w*i + 2*i - 128 = 0. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 557.245ml to litres.\nAnswer: 0.557245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-117)\/40)*-4?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 divided by 1008?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/6*(-3)\/(-15)*625\/1500.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 3*f + 8, 2*t + 5*f + 16 = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p + 13 = 4*g, 0 = 5*g - 5*p - 20. Calculate the greatest common factor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -568 + 572. Solve -u*w = -x, -11*x = -6*x - 3*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/37 (b) -15 (c) -1\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 509713575 to the nearest integer?\nAnswer: 22577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/3 - 122*b**3\/3 + 685*b**2 + 9702*b.\nAnswer: b*(b - 98)*(b - 33)*(b + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 17 = -j - j + 95, -3393 = -5*j - 83*l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6240 = 12668*c - 6259*c - 6097*c for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 14*i + 10. Let s be f(-9). Let c = -107 - -222. What is the greatest common factor of c and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r + s + 1991 = 0, -1997 = -r + 4*s. Let u = 3610 - r. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 3:38 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**2 + 2*l**3 - 3*l**3 - 10*l**2 + 19 - 14*l. Calculate the least common multiple of q(-14) and 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2772225*d**4\/4 + 19398915*d**3\/2 + 135652561*d**2\/4 - 163114*d + 196 = 0?\nAnswer: -7, 4\/1665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**6*c**(-1\/2))\/((c\/(c\/(c\/(c*c**(-5\/4)*c*c)))*c)\/(c*c**(5\/6))))**(15\/2) assuming c is positive.\nAnswer: c**(425\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = -0*b + 14. Let p be (2 - b) + 9\/((-9)\/(-2)). Let z(f) = -11*f**2 - p*f**2 - 4 + 14*f**2. What is z(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4 + 5 + 0 + 22*a**2. Calculate i(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (17 + -15 - -30)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1794107?\nAnswer: 7, 256301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i + 10. What is the remainder when 15 is divided by i\/(-15) + (-25)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i. Let l(u) be the second derivative of 24*u**3 - u**2 - u + 558. What is l(w(d))?\nAnswer: -432*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 7*l + 7. Let y be d(8). Suppose -2*t + y = 3. Suppose m - b - t = 7, -4*m = 4*b - 28. Solve m = -0*h + 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (6 - 2079\/45)\/((-99)\/10).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 2*r**2 + 6*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 310*m + 6715.\nAnswer: -5*(m - 17)*(m + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d = 17*d + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, t: 1, p: 1, x: 2, r: 2}. Give prob of picking 1 t, 1 p, and 1 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*h + 9, 0 = 3*p - 3*h - h + 10. Let k be p\/((-396)\/(-200) + -2). What is the highest common divisor of k and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1090*n - 1095*n + 30 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 138, 365, 734?\nAnswer: 1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 1785315.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51064486 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -181429 or -181739?\nAnswer: -181739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08003 + 0.14603. Which is the nearest to 1? (a) i (b) -4 (c) 1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34551 divided by 1047?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 3. Let y(j) = -j + 4. Suppose -2*b - 2*s + 18 = 2*b, 0 = -5*b + 3*s + 17. What is b*y(o) - 6*v(o)?\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5*r - 15, 10 = -4*j - 3*r + r. Let z(g) be the first derivative of -g**4\/4 + g**2 + 2*g - 4. Calculate z(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/3 (b) -1.3 (c) 0 (d) -2\/17 (e) 89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2363643*x**2*y + 3257064*x**2 with respect to y.\nAnswer: 2363643*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 17*k**2 + 40*k - 6. Let x be p(19). Let l(g) = 83*g**2 - g - 1. Let t be l(-1). Suppose x = 5*d - t. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/x**(-4)))\/(x**(-4\/11)*x)*x*x\/(x\/x**(2\/67)*x*x)*x**14)**(-23) assuming x is positive.\nAnswer: x**(-125327\/737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 135534 (base 7) to base 12\nAnswer: 13063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/5 - 11\/(-5). Let v = 7 - 5. Calculate the highest common factor of v and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 253.6 + -349.6. Sort z, 0, 2 in decreasing order.\nAnswer: 2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2587 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*h = 2969 - 4817 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, u: 10, n: 2, q: 1, o: 3, e: 1}. What is prob of sequence qoou?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5803 - 758 = 1207*i + 7579 - 3277 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2)\/(126\/(-7) + 15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 7:12 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, a: 1, f: 1, d: 2}. Give prob of picking 1 a, 1 d, 1 t, and 1 f.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1580823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g - 5*o - 20 = 0, -g - 12 = 3*o. Are -1 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r = -20*r + 18 - 168 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 g when two letters picked without replacement from wwwwewwewwbwgeeewwww?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9564?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + (5 + sqrt(448) + sqrt(140)\/sqrt(80) - (-5 + sqrt(252) - (-4 + sqrt(112)\/sqrt(4)))))**2.\nAnswer: 99*sqrt(7) + 1055\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 589231*s + 17 = 589232*s, 6*j + s = 27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1900) - (-1 + sqrt(1900) + sqrt(1900))**2) + (6*(sqrt(1900) + 1))**2 + 2 + 3*(-1 + sqrt(76))**2 + 4.\nAnswer: 758*sqrt(19) + 61075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 767707318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)\/u)\/u**(1\/3))\/((u\/((u\/(u*u**(-1\/11)))\/u))\/u*u\/(u\/u**(2\/13))) assuming u is positive.\nAnswer: u**(-1457\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, -0.35, 4, -3, -2 in decreasing order.\nAnswer: 4, 2\/21, -0.35, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*o + 46*o - 5553450 = 0. Does 86 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/1743498 and -29\/498?\nAnswer: 1743498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 1144?\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20684*-0.089\nAnswer: -1840.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2. Let w(q) = 3*q**2. Let b(i) = -2*g(i) + w(i). Let a(j) = -22*j - 346. Let m(z) = 19*z + 350. Let t(u) = -6*a(u) - 7*m(u). What is t(b(l))?\nAnswer: -l**2 - 374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(-1365 + r + 0*r + 1355 + (2*r + 0*r - r)*(1 - 1 + 2) + r + 3 - 3).\nAnswer: 12*r - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 16) in base 12?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 46 - 14 - 21 + r - 2*r. Give f(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2. Let g(w) = -44476*w. Give g(d(y)).\nAnswer: -44476*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1804747310443 + -0.4?\nAnswer: -1804747310443.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 18 + 372 = -66 for m.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**3 + 10*t**2 + 16*t + 59. Let h(m) = m**3 + 9*m**2 + 5*m - 35. Let i be h(-8). Is q(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-44)*-8*(-13)\/(-26)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -213 - -222. Solve 0 = 3*z + i + 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266338379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834344.\nAnswer: 2, 7, 47, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*j - j + 629 = 0, 5*m - 5*j - 665 = 0. Calculate the remainder when m is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 70 = -5*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + 0.1. Let j = -3\/1219 - 2411\/10971. Which is greater: x or j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -312358, -624725, -937102, -1249489?\n\"Answer: -5*b**2 - 312352*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q - 1980 = -7293. What is the greatest common divisor of q and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.34 and -205.\nAnswer: -207.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 3 - -19*1. Let c = k + -10. Calculate the remainder when 23 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 32*n**3 + 140 - 72.\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42956 is divided by 21070?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -21 - -9 - 3\/(4 - 3). List the prime factors of (-9354)\/s + 2\/5.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -527 - -531. What are the prime factors of (-2)\/11 - (56378\/(-77) - g)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*s - 4*s. Let g(v) = s*v + 1 - 1. Let p(n) = -16*n + 8*n + 7*n + 4*n. What is g(p(i))?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7240468959?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, l: 1, a: 1, r: 2, u: 4, w: 2}. What is prob of sequence al?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-423)\/12 - (-1)\/4. Suppose 14 = -5*u - 6. Find the common denominator of (345\/b)\/(u\/(-14)) and 19\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2043036, 8172074, 18387138, 32688228, 51075344, 73548486?\nAnswer: 100107654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 520*i - 133*i**2 - 2123*i**2 - 2742*i**2 - 522*i as k*i + q*i**2 + y and give q.\nAnswer: -4998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 9) to base 8\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/50)\/(8\/(-10))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13882 - 138697\/10. Calculate the common denominator of d and 13\/31.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121011 - 110201?\nAnswer: -1001212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.002 - -1.142. Let s = -0.64 + t. Let p be (18\/36)\/(1\/2). Sort -3, s, -5\/4, p.\nAnswer: -3, -5\/4, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1107\/108 - 2\/8 - 7. Solve -4*i + c*x + 27 = 0, 3*x + 5 + 10 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12783 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -10*s**3 - 103*s**2 - 40*s - 92. Let d be g(-10). Solve 0 = -4*y + 2*a - d, -205*y + 207*y - 2*a = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-1344)*-21*(-1)\/(-2).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*g + 6 = 0, b + 5*g - 10 + 0 = 0. Solve p = 4*a - 11, 2*a + p - 2*p - 3 = b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45\/180 + (2\/2 - (-30011)\/4) is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)\/x**(-2\/25)*x\/x**1*x*x**0)**(-21) assuming x is positive.\nAnswer: x**(2583\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-6 - -17 - 14).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v - 17*v + 969 = 0. What is the highest common divisor of v and 3667?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1118380 to the nearest ten thousand.\nAnswer: 1120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221734 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 24. Let n be d(-4). Solve w + 4*w = n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3*sqrt(392)\/sqrt(8))\/((sqrt(7)*5 - sqrt(7))*-3))**2.\nAnswer: -2*sqrt(7) + 263\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1621\/7254 + -1\/806. What is the second biggest value in m, -2, -5\/24?\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/5846 and -11\/790?\nAnswer: 29230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(44)\/sqrt(4) + -2)*-2.\nAnswer: 4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2\/3, 0.2, 1.55?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049619829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/343 and 83\/266217.\nAnswer: 1863519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4962, 9889, 14788, 19665, 24526, 29377, 34224?\n\"Answer: f**3 - 20*f**2 + 4980*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 2*i - 393611 + 393575, 6*d - 3*d - 2*i = -140 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0722*-0.5.\nAnswer: -0.0361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 247014970340 and 12.57.\nAnswer: 247014970352.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62.1 + 18.2. What is t rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*a*q**2*y + 9*a + 4*q**2 + 12*y**2 wrt y.\nAnswer: -8*a*q**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -13. Suppose -c - 4*c = 0. Suppose 6 + c = 2*t. What is the highest common divisor of t and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 8:34 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003498111 plus 253666.7?\nAnswer: 253666.703498111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*v - 178*v + 228*v - 432*v - 2*v**2.\nAnswer: -2*v**2 - 853*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0199 take away 6175?\nAnswer: -6175.0199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-294)\/(-56)*4\/(-14)*1*-10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -0.2069 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -224050 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -82065, -164126, -246187, -328248?\n\"Answer: -82061*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.4 - -4.5. Are m and -0.12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 468607*-607\nAnswer: -284444449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 2, h: 3, g: 2, v: 4}. What is prob of picking 1 v and 1 g?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5\/3 - 86*z**4\/3 - 380*z**3 - 900*z**2 + 11250*z + 33750 = 0. What is z?\nAnswer: -15, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.1 - -23.6. Let s = -6.7 + 1.7. Let x = -85 - -337\/4. Which is the third smallest value? (a) -2\/7 (b) x (c) s (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2235 rounded to two decimal places?\nAnswer: 1.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -6, -57, -4\/7, -1.6, 0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -0.1, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -267*n*o*x**3 + 13*n*o*x**2 + 3*n*x**3 + 3*n*x**2 + 229*o*x**3 - 50968 wrt x.\nAnswer: -1602*n*o + 18*n + 1374*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (12 - 16) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 8*b + 50. Let v = -6 + b. What is the second derivative of -i**2 + 4*i**4 - 3*i + i**2 - 3*i**v wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(-2)\/3 + (-24)\/12. Solve -n - 8 = -2*m, 16 = 2*g + 4*m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 1)*(2*o - 5*o + 4*o)*((-2*o + 3*o + 0*o)*(2*o**2 + 1 - 1) - 1 + 1 + 2*o**3).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 2625?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34319\/1195 + -9\/478. Which is smaller: i or 30?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3591893999+-0.5\nAnswer: -3591893999.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-24) - 6\/(-8). Suppose s = 4*k + k - 90. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Suppose -7*p = 2*c - 2*p - 19, 2*p - 6 = z. Suppose 5 - 1 = c*n. Solve -2*k - 6 = n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -4*s, 15*s + 19 = 5*w + 24 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v + 1. Let r(b) = 15*b - 2. What is -5*a(c) - 3*r(c)?\nAnswer: -10*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 0, 131.\nAnswer: -5, 0, 3, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d*k**2*r - 223*d*k**2 - d*k*r - 3*d*k + d + k**2 - 8330*k*r + 84*r - 63 wrt r?\nAnswer: -2*d*k**2 - d*k - 8330*k + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/8)\/((-13)\/26)*(-33)\/33?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 32, 60, 106, 176, 276, 412?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2216, 210, 4 in descending order.\nAnswer: 210, 4, 0, -2216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66033 is divided by 482.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e + 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 244 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -306*k**4 - 96*k + 294*k + 134*k**2 - 135*k**2 wrt k?\nAnswer: -7344*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -35*u**5 + 120*u**4 - 45*u**3 - 140*u**2 + 60*u = 0.\nAnswer: -1, 0, 3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 196710 to the power of 1\/2, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 807.26 (b) 177 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 + 166 = 20*i. What is the remainder when 183 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 176741569 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -h - 10 + 25. Put -3, 4, h, 5 in increasing order.\nAnswer: -3, 4, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 25*r - 10. Let a(p) = -26*p + 11. Let u(n) = 3*a(n) + 2*h(n). What is the first derivative of u(s) wrt s?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 166 + -146 + 0 + -29.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 778 = -7*x - 5*u, 3*x - 773 = -4*u. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -952*w**3 + 546*w**3 - 857*w**3.\nAnswer: -1263*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 720 = -7*u. Let r be -1*(-5 + (-4)\/(-2)). Suppose u = k + r*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - (8 - (31 - 29))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x + 5 = 0, 52 = 4*i - 4*x. Let q be (-924)\/(-7)*(1 - 0). What is the highest common factor of q and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 69 - 15. Let h be (-8)\/(-2)*35\/t. What is the derivative of -r**4 + h*r**4 - 7 + 0 wrt r?\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 12:50 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422*f**2 - 422*f**2 + 12*f**3 - 5*f + 3*f**3 + 25*f.\nAnswer: 15*f**3 + 20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23598 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -3*y**6\/10 + 5*y**3\/6 + 10*y. Find the second derivative of t(i) wrt i.\nAnswer: -108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 12 = 4. Let i be (1 - 9\/6)*k. Suppose 0 = l + i*l - 360. What is l rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347 = -5*i + 4*v, -i = 2*v - 10 - 65. What is the remainder when i is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/4))**(-12\/5)*(p\/p**(-2\/9))**(-2\/59))\/((p\/p**(-1))\/p**(-1\/16))**(10\/7) assuming p is positive.\nAnswer: p**(-711859\/148680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i - 2*i + 5*i)*(2 - 3 - 1) - i + 19 - 19 - 2*i - 11 + 11 - 4*i + i + 0*i)*(-4*i + 5 - 5).\nAnswer: 40*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (1 - 0 - 1) + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**5\/20 + p**4\/3 - 2*p**3 + 9*p. Let x be k(-6). Let j = 75 - 78. Which is the nearest to x? (a) 2 (b) j (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(4 - 1 - 4). Let m(p) = -p**2 - 10*p + 19. Let o be m(a). Calculate the greatest common factor of 140 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1197*b**3*k - 12*b**2*k**2 + 2*k**2 - 5798*k - 2 wrt b?\nAnswer: 3591*b**2*k - 24*b*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + s - 181, -6*l = -9*l - 2*s - 528. Put -1, l, 4 in decreasing order.\nAnswer: 4, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 65?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.7089 hours?\nAnswer: 0.0295375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -40. Suppose -2*q + 28 = 4*w, 5*w - 9 = 4*q - 0. What is the remainder when k is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77380 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86470?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 11. Calculate the common denominator of -31 and (i - 4) + 58\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18313?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + (-16)\/8 - -31)*2\/(-4). Let k(m) = -m**3 - 17*m**2 + m + 18. Give k(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (sqrt(99) + (sqrt(99) - sqrt(99)*1*2) - sqrt(99)) + sqrt(99) + (sqrt(99) - (-4*sqrt(99)*-2 + sqrt(99))) + 2)**2.\nAnswer: -192*sqrt(11) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**2 + 1 + 11*m**2 + 7*m**2 to the form c + y*m + q*m**2 and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014546555 to 6 decimal places.\nAnswer: -0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*d + 36. What is the remainder when 36 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*j + 142*j = 454. Suppose 236*s = j*s + 4968. List the prime factors of s.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2202*r**2 + 27*r + 3. Let t be s(-2). Does -8858 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 472*a**2 - 1400*a - 6. Let l be t(3). Solve -176 = -l*q + 20*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, i: 2, r: 3, g: 5, x: 5}. What is prob of picking 1 r, 1 x, and 2 g?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**5\/270 - 5*i**4\/36 - 26*i**3\/27 - 30*i**2 - 3*i. Solve h(g) = 0.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131412*q**3 - 510*q**2 - 40*q.\nAnswer: -788472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((0 - 0) + -8 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7.48 * -4\nAnswer: -29.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5 + 4*z**4 = 0. Calculate z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-5) - (-2180)\/(-25). Let t = d - -129. Suppose 0 = 2*f + 6 - t. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/70 at least -149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (3\/(-7))\/(14\/(-98))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 327283485 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o\/o**(2\/7))\/o*o*o*o)**(-2\/41)*(o*o**(-2\/17))**(-10))**(-25) assuming o is positive.\nAnswer: o**(1104300\/4879)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2612915*l**3 + 1173754*l**3 + 489806*l**3.\nAnswer: 4276475*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 397629.5 rounded to the nearest 100?\nAnswer: 397600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/5)\/2)\/(-6) - 779\/(-114).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 329250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhyyyhyyhyyhhy. What is prob of picking 3 h?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/14 + 17496\/42. Let b = 509 + t. Suppose 0 = q - 5, m - 6*m = 4*q - b. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1124*m**2 + 3 - 3.\nAnswer: -1124*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 68*r**2 + r - 3. Let j be h(1). Suppose -j*p + 65*p + 4 = 0. Suppose p = 2*i - 18. Which is smaller: i or 12?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9576 (base 16) in base 10?\nAnswer: -38262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 greater than or equal to 319182\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.012 in 3\/5, -2\/17, 2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 2*z**6\/15 - 12*z**5\/25 - 3*z**4 - 68*z**3\/15 - 12*z**2\/5 - 100. Factor p(d).\nAnswer: 4*d*(d - 6)*(d + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -619077313 take away 12321?\nAnswer: -619089634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 15*c. Let l(j) be the first derivative of j**2\/2 + 18. What is l(z(d))?\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -255, -5, 0.02.\nAnswer: -255, -5, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 7)\/(2\/4). Suppose -k = 3*c - 13, -2 = -4*k - 2*c + b. Calculate the greatest common divisor of 11 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*i = 3*p - 40, 4*i = -2*p - 14. Let n(f) = -3*f + 15*f**2 + 12*f**2 - 26*f**2 + p. Calculate n(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-4) - 4\/((-16)\/(-12))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, 4, 10, 18?\n\"Answer: s**2 + s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 4*v**3\/3 + 5*v**2\/2 - 7. What is the second derivative of l(m) wrt m?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 19, l: 1}. Give prob of picking 2 x.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2. Let m(n) = -4*n**4 + 4112*n**3 - 1585172*n**2 + 271593488*n - 17449881604. Let c(i) = -m(i) - 2*u(i). Let c(x) = 0. Calculate x.\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/29798458?\nAnswer: 1\/29798458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + b**2 + 4*b + 1. Let l(d) = d**3 + 7*d**2 + 49*d + 194. Let p be l(-5). Let x(c) = c - 1. What is p*y(z) - x(z)?\nAnswer: z**3 - z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 185*r**3 - 4*r**2 - 8*r + 4. Let b(l) = -76960*l**3 + 1665*l**2 + 3330*l - 1665. Give -4*b(c) - 1665*g(c).\nAnswer: -185*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13384, -26989, -40594, -54199?\nAnswer: -67804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2882 + 2*a**2 - 2882.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*n + 368 - 1492 = 847 - 275 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449287442?\nAnswer: 2, 103, 2181007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(4\/9)*y)\/y)**(-45) assuming y is positive.\nAnswer: y**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3974443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 47b3 - 0?\nAnswer: 47b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*t + 3*a + 820*t wrt a.\nAnswer: -t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1584 - -4518. What is the greatest common factor of p and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.19 + 0.11. Let p be (-2 + -2 - -4)\/(-2). Sort -2\/9, p, o in descending order.\nAnswer: o, p, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-10))\/(-3 + 6). Let s(t) be the first derivative of -v*t**6 - 4 - 1\/3*t**5 + 0*t**3 + 1\/6*t**4 + 0*t**2 + 0*t. Factor s(c).\nAnswer: -c**3*(c + 2)*(3*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -65, -60, -75, -116, -189, -300, -455?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from xllllllllllllll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12148 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 106524 and 11.\nAnswer: 1171764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 443*i + 355*i - 45*i - 30*i + 376*i to z + n*i and give n.\nAnswer: 1099","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wew when three letters picked without replacement from {w: 8, e: 1, q: 8}?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 635 and 5461.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f. Let k(l) = 4. Let s(h) = 1. Let m(c) = -4*k(c) + 18*s(c). Let y(x) = -x**2 - 5. Let u(o) = -15*m(o) - 6*y(o). Calculate u(w(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 20*z - 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 78 = 2*s. Suppose -4*g = 5*j, -3*g + 28 = -7*g + 2*j. Sort g, -4, s.\nAnswer: g, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4*-1)\/((-1)\/(-120)*4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-514)\/(-17))\/(-2) + 1508\/12818?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 10) + 7 + (2 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*z - 125, 4*f + 27 = -z + 500. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*t = -2, 8*s + 1 = 4*s + 3*t. Let u(f) = f. Let a be u(0). Sort s, a, -2 in ascending order.\nAnswer: -2, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, 27398, -5, -1 in decreasing order.\nAnswer: 27398, 7, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -7. What is the units digit of p\/4 + (-1)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**6\/120 + l**4\/6 - 17*l**2. Let v be y(-2). Is v at least 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 + 19*k**2 + 5*k - 5. Let c(f) = -f**3 - 22*f**2 + 7*f + 26. Let a be c(-22). Let q = 120 + a. Is r(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2 + 2 = 0. Let k = 15 + -10. Suppose -2*f - 8 = -5*b, k*f = 4*f - 3*b + 7. Calculate the greatest common divisor of c and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 12*w = 0. Let x(h) be the first derivative of h**5\/20 + h**4\/12 + h**3\/6 - 2*h**2 - 5*h - 2. Let z(i) be the first derivative of x(i). Give z(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 10.6, -3\/7, 1\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 68 = 4*s, s - 1 = -0*s. Let i = m + 80. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 20*o**2 + 618*o + 1619. Calculate n(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 771578.6 weeks to hours.\nAnswer: 129625204.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*u - 5810 = 0. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0345 - -0.034499172. Round l to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**2 - 101*l**2 - 23*l**2 - 2 + 60*l**2 - 36*l**2.\nAnswer: -111*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 18 = 3*l - 21, 5*l = -5*j + 55 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Let m(l) = l - 3. Let u be m(5). Suppose y*c + 446 = u*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkl when three letters picked without replacement from {p: 9, f: 2, k: 3, l: 2}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1527258 and 456.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*b - 21456, 0*o + o + 3 = 0. Suppose 12*g = g + 44. Suppose -m - b = -g*m. What is m rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 42 - 36 = c, 4*j = -3*c + 20 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 252a?\nAnswer: -2525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -16\/7*g**2 + 4\/7*g**3 - 2\/7*g - 2\/7*g**5 + 8\/7*g**4 + 8\/7 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180 by 669.\nAnswer: 60\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 = -8*n - 4*j, -5*n + 40*j - 44*j - 164 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 25 = -5*u, a + u + 0 = 5. Let s(v) be the third derivative of 0*v**3 + a + 0*v + 7\/60*v**5 + 0*v**4 - 9*v**2. Let x(t) = -t. Give s(x(y)).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9*-1*(-3)\/9. Suppose 5*i = a*i. Solve i*u - 5*u = 3*z + 10, 6 = 5*z - 3*u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11376 - 16188. Let i = a + 57779\/12. Let h = -4505 - -99045\/22. What is the common denominator of i and h?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 23 + 23 = -4*d, -5*d - 8 = 2*s. Let x(p) = p**3 - 7*p**2 - 2*p + 4. Let i be x(s). Let r = i + 49. Solve 0*u = 5*u + r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -7. Solve -1 - 2 = z + c, t*c = -z - 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from {u: 6, j: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3 - 7137241*b**2 + 12735055841640*b - 12735048704400 = 0. Calculate b.\nAnswer: 1, 3568620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 86 in -0.16, -0.2, 1, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 726.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -50*q - 113 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52497 and 2679?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/7 - (-60)\/14. Suppose -114 - 32 - 34 = 20*j. Sort 3, n, j in increasing order.\nAnswer: j, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-34)\/n)\/n)\/(n*n*(n\/n**(-13)*n)\/n) assuming n is positive.\nAnswer: n**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = 6. Let f(m) = m**2 + 3. Let x be f(-4). Solve -4*k - 2*p - x = 3, -v*k - 20 = 5*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2\/9 (b) 3 (c) -2.4 (d) 1\/3 (e) 8 (f) 0.015\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 50. Let d = 10 + r. Let i = d + 17. Which is greater: i or -2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1161 and 5375?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.9 + 12.9. Sort 3\/8, g, -5 in increasing order.\nAnswer: -5, 3\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 529 - 523. Solve -2*y + 0 = -f + 5, y + k = 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384 divided by -2?\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1804*n**4 - 102*n - 68 wrt n.\nAnswer: 21648*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in 2, -0.7, 8, 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1320 or -1322?\nAnswer: -1322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 721744 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 134*l**3 - 765*l**2 + 509633 wrt l.\nAnswer: 402*l**2 - 1530*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/12)\/((-3)\/8). Let r be (-3)\/(-1)*i\/36. Factor -r*z - 4\/9 + 1\/9*z**2.\nAnswer: (z - 4)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/11, 7.87, -5 in decreasing order.\nAnswer: 7.87, 8\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/6*56\/3. Let s = -25 - r. Let u be (0\/(-5 + 2))\/s. Solve 0*w - 4*w + 8 = u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 5*n**2 + 0*n**2)*(-3 + n**2 + 3) - 103 + 103 + 21*n**4.\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388*x**2 - 17*x + 1178*x**2 + 18*x - 433*x**2 - 448*x**2.\nAnswer: -91*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 11502\/11723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*w + 4 = -10, -3*z + 5*w - 12 = 0. Suppose 2*b + 1 = 3*h, 0 = -h - 2 - 1. Is -1*z + (-390)\/b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r - 5*q + 435 = 57*r, 4*q + 12 = 0. What is the remainder when r is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001542735197 to six decimal places.\nAnswer: -0.000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4588 and 6.\nAnswer: 13764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**6\/40 + g**3\/2 + 3*g**2\/2 - 2*g. Let a(f) be the first derivative of i(f). Find the first derivative of a(v) wrt v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 5 = -6*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 79066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16096855?\nAnswer: 5, 3219371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 95076.14 hours?\nAnswer: 342274104000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - w - 47 + 24, 8 = -4*w for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 361051964?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + 100 + 0 + -9 + -13.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(2\/14)\/((-4)\/(-14)). Suppose -3*b = v*i - 6, 0*b + b + 9 = 3*i. Find the third derivative of 0*j**2 + 4*j**3 + 0*j**3 - 3*j**i + 9*j**2 wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11962 - 9581.9. Round t to the nearest ten.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -26. Let o = w + 25.88. Let y = 0.12 + o. Which is the second smallest value? (a) y (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 12:54 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -72 - -61?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-14))\/((-15)\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 12. Suppose -z - 3*z + 64 = c. Let i = -6 + 12. What is the remainder when z is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*h - 6. Suppose -4*i + 0*i = 2*v - h, -2*v = 2*i - 2. Is i less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887727336 a multiple of 4213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 22 - 16. Suppose -6 = 2*q + h. Sort q, 5, 1 in decreasing order.\nAnswer: 5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2283940.\nAnswer: 2, 5, 114197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2 + u - 3. Determine w(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 4 - (1 + (-6 - -2)). Suppose -5*s + 4*s = 2*i + r, -s = -4*i - 22. Solve -2*p - s = -0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*t - 9. What is the common denominator of (-17)\/(t\/(-8)*(-2)\/2) and 4\/29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.6645978 - -887.\nAnswer: 889.6645978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1161 (base 9) to base 7.\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((-55)\/121 - -12).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14481?\nAnswer: 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - m + 44, -3*m = -4*m + 2. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 6*z + 330 = 0. Let s = z + -42. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -607 + 1118. Let v = 691 - d. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 0*y**2 + 6*y + 2*y**3 + 0*y**2 - 4*y. Let t be q(-2). Let h be 2\/(t\/3)*0. Which is bigger: 1\/37 or h?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 22. Let b = -24 - -11. Let m = x + b. What is the second smallest value in 5, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/7 - 4778*a**2\/7 - 19168*a\/7 + 57432\/7.\nAnswer: 2*(a - 2393)*(a - 2)*(a + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (2 - -1)\/((-6)\/(-16)) and (-4)\/(-12)*21 + -1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1742\/156 - (-1)\/(-6). Suppose -d*a + 63 = -905. 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 (-756)\/(-3087)*1\/((-3)\/(-7))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 127 - 85. Let u = c + -46. Let s(w) = w - 2. Let y(m) = m + 2. Let x(k) = u*s(k) - 2*y(k). Give x(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 50*f**2 - 748*f + 79. Give y(12).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 118506.\nAnswer: -11\/118506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6528 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 9.5, 1\/4, 8\/7, 2\/15, -2\/5 in descending order.\nAnswer: 9.5, 8\/7, 1\/4, 2\/15, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*r + 6. Let z be (2 - -2)\/(-1) - -110. Let n = z - 103. Solve n*b + r*b = 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3591 greater than -3640?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3169 - 689. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32006614?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 3*v - 5*v + 14, v = -3*m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 + -78. Suppose -2*c + 3*c = -m, 3*c - 4*m + 35 = z. What is the tens digit of 198\/c*((-10)\/(-4) - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -16*k**3 + 3394*k**2 - 431*k + 1597. Calculate x(212).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 2*t. Give o(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**4\/44 - 4*c**3\/33 + c**2\/2 - 6*c\/11 + 1192. Factor l(y).\nAnswer: -(y - 1)**2*(y + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 370, 696, 1022, 1348?\n\"Answer: 326*k + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218100929 to the power of 1\/3, to the nearest integer?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*b - 20, -2*l - 4*b + 24 - 8 = 0. Let p be 6\/12*12\/(3 - 0). Let o be 1\/2 - (p - (-14)\/(-4)). Solve l = 5*i - 15, -4*q - o*i = i - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -19. Let r be (-4 - (-50)\/j) + (-2)\/(-3). Which is the closest to -3? (a) r (b) 2\/5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.278 * 0.5\nAnswer: 0.139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15798 - 134 = -28*c. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y + 49. Let c be p(11). Let i(h) = 14*h - c*h + 9*h - 3*h**2 - 3*h. Let n(j) = 3*j**2. Calculate i(n(x)).\nAnswer: -27*x**4 + 45*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000104793 rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.72? (a) -5 (b) -7 (c) 27\/8 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (694110\/(-20))\/((-1)\/(-248)). Let q = -23806964 - d. Round q to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 266.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2864 divided by 2.\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 8*n**2 - 2*n - 4. Let m be o(-8). Suppose -4*h = -m, -4*x + 2*x - 3*h = 11. Let j = x + 17. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2891974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*d - 38*d + d**2 - 39*d + 116*d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 12*y - 5*l + 7219 = 0, -2*y + 3*l = -3593. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/17 (b) -4\/5 (c) 2 (d) 2\/7 (e) -14\/971\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2210998383.\nAnswer: 3, 11, 7444439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(2 + 5\/((-235664625)\/94265844)). Let q = -188668583\/12 - l. Let x = -11400 - q. What is the common denominator of -37\/24 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 32 + 23 = 0. Let j(h) = -h**3 - 4*h**2 - 3*h + 2. Give j(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 11082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -2*t**5\/5 + 17*t**4\/24 - 17*t**3\/6 - 11639*t**2. Let z(d) = -3*d**2 + 2*d - 2. Give 6*a(m) - 51*z(m).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 4*l**2 + 5*l - 3. Let s be k(3). Solve -3 - 6 = -s*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3*1)\/((-87)\/464). Let c = 16 + h. Let t = 49 + c. Does 27 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2200.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from eedoa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -158, -5\/8, 0.5 in ascending order.\nAnswer: -158, -5\/8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y + 1 + 3*y + 1 - 10*y + 4*y. Suppose 7*w - 4*w - 9 = 0. Let r(z) be the first derivative of -2*z**2 - 4*z + 1. What is w*r(b) + 5*h(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3274 = 4*t + 3*i, t - 812 = 2*i - 6*i. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 236*i + 103\/6*i**4 + 0*i**2 + 91\/6*i**3 + 0. Find the second derivative of x(s) wrt s.\nAnswer: 412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -17*r**2 + 6*r - 2. Let l(q) = -10*q**2 - 12*q + 11. Let k(s) = -4*s**2 - 3*s + 3. Let c(u) = -7*k(u) + 2*l(u). Give 9*c(w) + 4*y(w).\nAnswer: 4*w**2 - 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1589 - 0.1411. Let x = -21\/13 + 173\/91. What is the third smallest value in -2\/7, x, a, -1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14702259.43 to the nearest ten thousand.\nAnswer: -14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46660749, 93321510, 139982271, 186643032, 233303793?\nAnswer: 279964554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -5*w - 20\/21*w**7 + 0*w**2 + 0*w**5 + 41\/12*w**4 + 0*w**6 + 2 + 0*w**3. Find the third derivative of z(x) wrt x.\nAnswer: -2400*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -26, -3, -5, 3 in descending order.\nAnswer: 31, 3, -3, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -47.4. Which is the closest to 0? (a) 6 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Let t = 0.55 + -0.05. What is the third biggest value in -5, u, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 17037.\nAnswer: 68148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*3)**2 - 2*sqrt(76) - (sqrt(209) + -6*(sqrt(209) - sqrt(209)*-2))\/(sqrt(11)*2*6 - sqrt(11)).\nAnswer: -27*sqrt(19)\/11 + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**5\/20 + 7*a**4\/12 + a**3\/3 - 9*a**2\/2 - 15*a. What is t(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 24 - 24. Suppose 0 = c - 3 - 5. Find the common denominator of 11\/9 and (y + (-2)\/c)\/((-60)\/(-590)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 3*l - 9, -3*b - 1286 = -3*l - 1277 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 218a89 (base 11) in base 10?\nAnswer: 348698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4 + 1 - 2 + 2*t. Let o(n) = n - 3. What is 3*d(l) - 5*o(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 0.3, -2\/19235?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 0 + 41\/6*n**3 - 23*n**2 + 55*n. Find the first derivative of s(d) wrt d.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 65, 70, 83, 110, 157?\n\"Answer: b**3 - 2*b**2 + 4*b + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310982.\nAnswer: 2, 7, 97, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -297782491 - 0.1\nAnswer: -297782491.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d. Let b(m) be the second derivative of 133*m**5\/30 - m**3\/3 + 101*m**2\/2 - 2*m + 156. Let s(j) be the first derivative of b(j). Calculate s(v(g)).\nAnswer: 1064*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1593585 and 180.\nAnswer: 6374340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-432)\/93)\/(14568\/301072)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8 + -2. Let x = -0.3 - w. Let a(p) = 6*p + 33. Let c be a(-6). What is the biggest value in x, c, -2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/6166 and 61\/1274?\nAnswer: 3927742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -39. Suppose w = -7*v + v. Find the second derivative of 0*j**2 + 0*j - j + v*j + j**2 wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 - 2751056 + 2751056 - 4*c**2 - 62*c to the form u*c**2 + f*c + x*c**3 + h and give f.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 3:50 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625*q**3 + 709*q**3 - 256*q**3.\nAnswer: 1078*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2699300*2 + (-163 - -163). What is j rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/46120 or 1?\nAnswer: 1\/46120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(481\/(-52) + 9). Which is the second smallest value? (a) -0.3 (b) 1 (c) z (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3424 and 1240772.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15670795.92 rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6893 + -2730. Is p not equal to -9623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/7200018 and -31\/132000330?\nAnswer: 396000990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58010*-849.\nAnswer: 49250490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 940446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.055*-51.5251\nAnswer: 2.8338805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -16 + 12 - 3*g**2 + 4. Let l(m) = -4*m**2 - 5*m + 5. Let s(u) = 2*u**2 + 3*u - 3. Let i(z) = 3*l(z) + 5*s(z). What is k(i(n))?\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/15, -4\/5, 5, -3, 2.741, 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 1662.\nAnswer: 11634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwoax. Give prob of sequence ar.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5999992 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/14 + (-3)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-462)\/(-56) - (5 - -2). Let m = -0.5 + -1.5. Put j, m, -3\/4, 4 in descending order.\nAnswer: 4, j, -3\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1056 and 127776924?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = p + 212. Which is the third biggest value? (a) -4 (b) 34 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 9 = f, -3*o + 600 = -2*f + 587 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18950, 37904, 56858, 75812, 94766, 113720?\n\"Answer: 18954*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 3, -2\/23, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x + 578 + 142. What is the lowest common multiple of x and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 8*x = -7*x - 31743, -2892 = -c + 2*x. What are the prime factors of c?\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 26102310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -9*h - 72. Let r(i) = 3106*i + 1. Determine j(r(m)).\nAnswer: -27954*m - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -249228 divided by -414\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**6\/120 - i**5\/4 + 17*i**4\/12 + 70*i**2 - 118. Let h(z) be the second derivative of u(z). Find o such that h(o) = 0.\nAnswer: -17, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 20134?\nAnswer: 40268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2497, 20326, 68831, 163384, 319357, 552122, 877051?\nAnswer: 1309516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 377*p + 17. What is the thousands digit of o(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (6 + 0 + -3 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*u - 14, 0*j + 5*j + 18 = 3*u. Let r be 6*-3*j\/18. Suppose r*h = 495 + 36. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 26, 3, 4, 52 in ascending order.\nAnswer: -4, -1, 3, 4, 26, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h - 1. Let f(p) = -2*p - 1. Calculate 5*a(r) - 6*f(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/7)\/s)\/s)**43)**(-40) assuming s is positive.\nAnswer: s**(20640\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 95*b = -97*b + 28, 2*h = -b - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 420 = -68. Let z = q + 78. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 79, 1, 49, -8 in descending order.\nAnswer: 79, 49, 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2576)\/(-184)*(-3)\/(-966)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 77.168711?\nAnswer: 7.7168711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 - 4*v + 2*v + 3*v**3)*(63*v + 14*v + 87*v).\nAnswer: 328*v**4 - 328*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 0.078, -1, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 15 = -d, d - 3*d = -5*l + 35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 533063?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3093, 3094, 3095?\nAnswer: 3096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39894920 and 208?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.812684s to microseconds.\nAnswer: 5812684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -93\/19. Suppose -2*x = x + 3. Which is the closest to 1? (a) y (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3367 and 1729?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7469 and 37345?\nAnswer: 37345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**4 + 30843*n**2*z + 1327*n*z + 10*n - z wrt n.\nAnswer: -12*n**2 + 61686*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2 + 3. Let q be (x*15)\/((-12)\/8). Let k(n) = 7*n**3 - n**2 - n. Let a be k(2). Calculate the highest common divisor of a and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 6:48 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 531311 (base 8) to base 3.\nAnswer: 22222120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 14*z**2 - 22*z + 88. What is d(-13)?\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 11*w - 10. Let q be h(-4). Suppose 16 = 2*p - q. Suppose -s + 0*s + 15 = -2*a, -3*s + p = a. Calculate the remainder when 13 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by -19\nAnswer: 68\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/9*3\/(-2). Which is the fourth smallest value? (a) -1 (b) -5 (c) p (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from mddmlsdsddmss.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -11*u - 3 + 3*u**2 + 5*u**3 + 0*u**3 - 4*u**3. Let d be p(-6). Is d at most as big as -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -828, -827, -826, -825, -824?\n\"Answer: w - 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 411*q = 403*q + 24. Let p(y) be the third derivative of -5\/84*y**4 + 0 + 2\/21*y**3 + 2\/105*y**5 + q*y**2 - 1\/420*y**6 + 0*y. Factor p(g).\nAnswer: -2*(g - 2)*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnpppp. What is prob of sequence pnn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 253 + -155. Suppose 0 = -8*q + 6*q + t. Suppose -30 = -4*d + j + q, 5*d - 2*j = 95. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a centimeter in micrometers?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -0.02 (c) 2\/5 (d) 13 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 4*m + 1 = t, 0 = -2*m + 4*t - 4. Which is the smallest value? (a) -2 (b) 3 (c) m (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1 (c) -110\/7 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 1, y: 2, u: 1}. Give prob of picking 1 d and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 4*t**2 - 19*t + 23. Is 15 a factor of l(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3946588661 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3 - 3*u**3 - u**2 - u**2 - u**3 - 3*u. Let l(j) = -5*j**3 - 3*j**2 - 8*j + 4. Let t(c) = -c. Let i(w) = -l(w) + 4*t(w). Give 3*i(o) + 4*m(o).\nAnswer: -o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 8*y + 8. Let p be f(6). Suppose -5*q - 7 + 2 = 0, -4*x + 4*q = -364. Let m be ((-4)\/(-7))\/(x\/21 + -4). Sort m, p, 1 in decreasing order.\nAnswer: m, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -1248.\nAnswer: 16224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -130 - -72. Let t = 1\/69796 - 34899\/69796. Which is greater: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/10 + -7)*(-72)\/(-414)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {x: 1, i: 1, y: 1, c: 1, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/(p*p*p*p**(-2\/11))*p)\/p)\/p**(7\/3)*(p*p**9)\/(p\/p**6*p))**(7\/6) assuming p is positive.\nAnswer: p**(1253\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 15 = 51. Let x = 38 + a. What is the smallest common multiple of x and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20730*a + 19488*a - 78 + 76.\nAnswer: -1242*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 222*f**3 - 2*f**2 - 95.\nAnswer: 1332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 5\/2*a**2 + 0 - 7\/6*a**3 - a + 1\/12*a**4. What is t(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-12))\/((-12324)\/(-4266))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.28 + -14. Let p = -0.3 + u. Let a = p + 0.02. Sort a, -2\/9, -0.4.\nAnswer: -0.4, -2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.54?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 v, 1 a, and 1 w when four letters picked without replacement from syavowa?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 32\/3 - (-1 + 5)\/(32 - 26)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 + 1252\/8. Let p be (-1 + 1*y)*1. Suppose 17*h = 12*h + p. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhh when three letters picked without replacement from {h: 2, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**6\/24 - 3*h**5\/2 - 125*h**4\/6 + 220*h**3 - 1764*h**2 + 2*h. Determine d, given that t(d) = 0.\nAnswer: -6, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-2\/33))\/m)\/m**18)\/(m**(-4)*m*m)**45 assuming m is positive.\nAnswer: m**(2378\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8021, 11642, 15241, 18806, 22325, 25786, 29177, 32486?\nAnswer: 35701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 6 + 30. Let a be (18\/(-12))\/((-6)\/l). Solve -2 = 4*c + 2*d, -3*c - 10 = a*c + d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a = 25*a - 12. Let v be a + (-9)\/6*-8. Suppose 0 = -v*b + 11*b. Solve b*p + 3*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 3.5. Let j = -0.7 + x. Let n be 1 + -3*(-2)\/(-10). What is the nearest to 0 in n, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 9*o**2 - o + 11. Suppose 4*z + 9 = v, 4*v + 5*z - 9 = 27. Let w = 17 - 12. Calculate the remainder when w is divided by k(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8123, -16248, -24373, -32498?\n\"Answer: -8125*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7892492171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 467 + 736 = 129*b + 171. Solve -g - 4*g = 5*z + 20, -3*g + z = b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1811, 3765, 5867, 8117, 10515?\n\"Answer: 74*w**2 + 1732*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 - 142 = -6*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 20, 124, 7 in descending order.\nAnswer: 124, 20, 7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7763.448l to millilitres.\nAnswer: 7763448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3312532.\nAnswer: 2, 828133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7555, 7560, 7565, 7570, 7575, 7580?\nAnswer: 7585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 20*b**2 + 126*b + 41. Let w be v(-6). Sort w, 1, 0, -4, 46.\nAnswer: -4, 0, 1, w, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78\/11, -83, -0.97 in descending order.\nAnswer: 78\/11, -0.97, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 4, k: 5, m: 1, g: 4}. Give prob of picking 1 v and 1 b.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.19 (b) -0.03 (c) 907\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14353 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 4 - (-240)\/(-64). Let f = -3 + 2. What is the nearest to m in f, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**4 - 9*h**4 + 4*h**4)*(-1 + 3 - 1 + (-1 + 4 - 4)*(2 + 0 - 4) + 1 + 1 - 1 + 4 + 1 - 4).\nAnswer: -50*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.44 * -675081.\nAnswer: -297035.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 694156 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109544 is divided by 81?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 29563414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y. Let h(w) = 5*w**2 - w**2 - 6*w**2. Give s(h(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -1\/5 (c) -5 (d) -2\/3 (e) 25679 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 0*d - 83 = 3*d, 59*g = 60*g - 2*d - 62 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/14 and 35\/28488?\nAnswer: 199416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 16*u - 80. Let o(d) = 5*d**2 - 62*d - 343. Let m(t) = -9*n(t) + 2*o(t). What is m(-14)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68137799?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - r - 6. Let t be i(0). Let u be t\/4*16\/(-12). Solve -m - m = u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 10. Let y(g) = 2*g - 19. Let t(m) = -7*d(m) - 4*y(m). Let x(n) = 3*n - 13. Let j(f) = -39*f - 83. Let z be j(-2). What is z*t(r) - 2*x(r)?\nAnswer: -r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, u: 2}. What is prob of picking 4 r?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 13. Suppose 6*f + 3*u - 21 = l*f, 0 = -2*f + 5*u. Solve 0*h = 3*t - f*h + 20, -16 = 4*t + 4*h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 1. Let g(m) = -m**2 - 18*m. Let s(u) = 3*a(u) - g(u). Calculate the remainder when s(-16) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + 1. Let i = -945.1 + 903. Let o = i + s. Which is the closest to -0.6? (a) -3 (b) o (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 55 = -4*g. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -2 + (-3 - -12) + -8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 6*j**2 - 8*j - 38. Determine i(-5).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/7 + 18406*z\/7 + 208216\/7.\nAnswer: (z + 6124)*(3*z + 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 - 91. Solve -3*k + 3*j = 0, -z = -5*k - 4*j + 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4 - 692*x**3 - 83646*x**2 + 3165512*x - 5990936 = 0?\nAnswer: -119, 2, 29, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -170*t + 40. Let o(c) = -13*c + 3. Let y(j) = -40*o(j) + 3*p(j). Let v(g) = 2*g. Suppose 14 = 8*d + 102. Calculate d*v(r) + 2*y(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -330040242 (base 6) in base 13?\nAnswer: -12b0228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -666688, -1333573, -2000458, -2667343?\nAnswer: -3334228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 107, 0.66, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2332815911.\nAnswer: 2332815911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5953*d - 638 = -5924*d for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1183 + -1188. Let g(x) = -x**2 - x + 15. What is g(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 6:38 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*u**3 - 27*u**3 - 3*u + 2*u - 3*u**4 + 357*u**2 - 4*u - 2 - 365*u**2 to the form q*u + z*u**3 + h + f*u**2 + t*u**4 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*t - 1290 = 242*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -0*j - 3*t + 28, 0 = -5*j - t + 36. Suppose y - j*y = -42. What is the highest common factor of 48 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -18\/113 (c) 4\/5 (d) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from vvvvvvvvvvvvvvvvvvvb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v - 3367234 + 3367234.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15899 is divided by 269.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 6*l = l + 4*l - 0 + 16, -4*r = l + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 408889175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -487 + 15*h + 7*h - 24*h + 3*h.\nAnswer: h - 487","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -11000?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2295827 is divided by 91833.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*p**2 - 3*p + 90*p**2 + 4*p.\nAnswer: 203*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 5. Let r(w) = w**3 + 8*w**2 + 8*w + 8. Let y(z) = z**3 + 10*z**2 - 9*z + 15. Let i be y(-11). Let t be r(i). Let o be -1*t\/2*0. Give h(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.09 + -0.79. Let a = 7019 - 7015. What is the second smallest value in 4\/5, -0.5, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 7\/15 - 621\/345?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011101 + -101?\nAnswer: -101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11288 by 6.\nAnswer: -5644\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 greater than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 4, -4, 84?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwmwwmwwwwwwwwmwwww. Give prob of sequence wm.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 25*i**3 - 6*i**2. Let d = -318 - -312. Let x(w) = -26*w**3 + 5*w**2. Determine d*x(u) - 5*q(u).\nAnswer: 31*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-90)\/4)\/(-3))\/(243\/9234). What is the highest common factor of o and 360?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 67*g**2 - 757*g + 37. Is o(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/85 - 241\/595. Let c = -3.04 - -0.04. What is the closest to -1 in c, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 543726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 13. Solve 0 = -t - i + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 102*d - 301. Let u(n) = -19*n + 60. What is 2*a(f) + 11*u(f)?\nAnswer: -5*f + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2580474 - -173.31\nAnswer: 173.5680474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 3*b**2 - 6*b + 5. Suppose -n + 2*r = 0, 0 = -n - r - r + 8. Let y be h(n). Let l = -4 - y. Sort l, 4, -4.\nAnswer: -4, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 7:29 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1289007255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h + 1. Suppose 70 = 81*k - 11*k. Let d(q) = -410*q + 50. Let x(t) = k*d(t) - 60*v(t). Let s(f) = f**2. Give s(x(w)).\nAnswer: 100*w**2 - 200*w + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -789.48 - -789.47959779. What is k rounded to 6 dps?\nAnswer: -0.000402","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 28*n**2 + 507*n - 8. What are the prime factors of i(-49)?\nAnswer: 31, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 415 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336645.\nAnswer: 3, 5, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s - 21*s - 10404 = 0. Let i = -943 + s. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/2 + ((-6)\/24 - (-1805)\/20) + -10?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 563*l + 561*l - 10 = 0, -l - 13 = -3*p. Solve 20 = -4*r + c - p*c, -r = 2*c + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 8*v**2 - 9*v + 5. Let p = 17 + -17. Suppose p = 5*f - a + 47, 4*a - 8 = -0*a. Let d be g(f). Solve d*r - 6 = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 55*z - 52*z - 633 = 0, 4*m = 2*z + 502. Solve -117 = 3*v - m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 + b - b - 5*b**3 - 44*b**3 + 94*b**3 + (-2*b + 4*b + 0*b)*(-5*b**2 + 3*b**2 + b**2) + 0*b**3 + 0*b**3 - b**3 - 652*b - 173*b**3 - 1 + 652*b.\nAnswer: -130*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -253*w**4*z**3 - 69*w**3*z**3 + w*z + 25829*z**3 wrt w?\nAnswer: -3036*w**2*z**3 - 414*w*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1136365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -247.\nAnswer: 4\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y - 2. Let s(a) = -a**3 - 7*a**2 + 31*a + 10. Let c be s(-10). Suppose -n + 85 - 88 = c. Give l(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 148.6 * -5.\nAnswer: -743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44981 - -44990. Let u be (4\/(-6))\/((-1)\/6). Let j(h) = 2*h - 3. Let d(n) = -5*n + 6. What is u*d(k) + x*j(k)?\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 5, -16, 4, -131 in descending order.\nAnswer: 5, 4, 0, -2, -16, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 124, 475, 1046, 1837?\n\"Answer: 110*l**2 + 21*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -80*z**4 - 310*z**3 + 733*z**2 - 420*z + 72. Let s(o) = -o**4 + o**3 - o**2. Let t(i) = -d(i) + 5*s(i). Factor t(w).\nAnswer: 3*(w - 1)*(w + 6)*(5*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 8:24 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 55*u**3 - 3*u**2 - u + 2. Suppose -3*a = 8*a - 44. Let l be b(a). What is l rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -65*a - 12. Is y(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 22*a**2 - 26*a - 67. Let m be t(-23). Put 3, -1, 9, m in decreasing order.\nAnswer: 9, 3, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 27*v - 6. Let a be q(1). Let h be 1\/((-28)\/8) + 6\/a. Solve h = t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*o - 32*m + 12*o - 3 wrt m.\nAnswer: -2*o - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-6) - 3\/(-1 + 0). Suppose 5*b = -5*j + 44 + 31, -9 = h*j. Suppose -7*o = 2*o - b. What is the least common multiple of 22 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 221.2746 + -1.4046. Let z = c + -218. Let g = 1.28 + z. Round g to 1 decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -132*u - 2259*u**2 + 44*u**3 + 2134*u**2 + 3*u**3 - 4 + 49*u**3.\nAnswer: (u - 2)*(3*u + 2)*(32*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -428767*a**5 - 262885*a.\nAnswer: -8575340*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8207 is divided by 228?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-360)\/(-200))\/((-3)\/(-30)) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (20*(-4)\/(-10) - 8) + 4194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -8017032.301 and -8.\nAnswer: -8017040.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366408468.\nAnswer: 2, 3, 31, 109441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -393, -718, -1043, -1368?\n\"Answer: -325*i - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6312 = 214*m + 1129*m + 7726 + 51769 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 296\/50 + -6 + 108\/(-525). What is the second biggest value in 4, -0.013, -3\/4, j?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.4 (c) 2\/13 (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 1 - 2*l**3 - 6 - 1 - 4 + 3*l**2. What is the second derivative of m(i) wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 3*x + 4*r, x + 2*r = 38 - 8. Suppose 5*o - o - 2*b = x, -5*o + 2*b = -44. Find the second derivative of -j**4 - 5*j**4 - o*j + 3*j**4 wrt j.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.173 + 4.593. Let p = 4.41817 - j. What is p rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-10 - 0 - -18)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l*m**5 - 413*l*m**2 + 1862*l*m + 2*m wrt m.\nAnswer: 40*l*m**3 - 826*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2702, 5234, 7606, 9824, 11894, 13822?\nAnswer: 15614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {z: 1, i: 12}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10328569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -34. What is the remainder when 101 is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.07307851 rounded to two dps?\nAnswer: 10.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23 (b) -1 (c) -4 (d) -0.5 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/7 - 25300*b**3\/7 - 11444622*b**2 - 91325808*b.\nAnswer: -2*b*(b + 8)*(b + 6321)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -153 - -157. Suppose 0*h + 28 = 4*h. Let t = h - p. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/5 + 5*c**4 - 18*c**3 + 26*c**2 - 17*c + 21\/5 = 0.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 176*h**3 + 66*h**2 - 7*h - 14. Let r(x) = 88*x**3 + 33*x**2 - 4*x - 8. What is 4*q(a) - 7*r(a)?\nAnswer: 88*a**3 + 33*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -486 - -395. Let s be (-14)\/k + 2\/(-13). Solve -3*d = 4*a + 11, 2*a + s = -4*d + 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 3. Suppose 5*r - 166 = -d*g, -4*r - 377 + 88 = -5*g. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 + 156*h**2 - 1880*h + 5596. Determine u(64).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10272 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: Suppose -s + 9 = -5*w, -1 = -15*w + 17*w - 3*s. Let n be -1*(-1 - 12) - (0 + w). Solve m - 3*m + 3*r = -6, 5*m - 2*r = n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6985 - -6987. Solve -2*u - 3*u + r*k - 12 = 0, 2*k + 4 = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*d - 6*d - 63. Suppose 2*t = -d*h + 8, 4*h + 7*t - 4 = 3*t. Solve g + 5 = h*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.26 in -3, 26, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -1 + 3. Is (j - -78)*6\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w - 37. Let b be d(-8). Let a(c) = -c + 1. Let p(s) = -3*s**3 + 2*s - 4. Calculate b*a(j) + p(j).\nAnswer: -3*j**3 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50767 + 2?\nAnswer: -50765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -92*n - 244. What is i(-3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.1 - 1.7. Which is the third smallest value? (a) h (b) 5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4182 - 4181.8. Which is the third biggest value? (a) g (b) -2\/11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at least 156282534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(550)\/(sqrt(77)\/sqrt(7)))\/(sqrt(10) + sqrt(240)\/sqrt(6)).\nAnswer: sqrt(5)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419373563?\nAnswer: 7, 2789, 21481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 23. Suppose -p = -x*p + 3. Suppose 0 = -2*d - 4, -4*j + p*d = -3*j. Let f(b) = 2*b - 5. Let q(l) = -3*l + 6. Give j*f(s) - 5*q(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2506288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**3\/6 - 3*b**2\/2 + 3*b. Let g be l(-3). Suppose 2*k - 5 = -5*z - 6, g = k + 3. What is the closest to z in 1, 2, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d + 56 = 182 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) -2 (c) -126.6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = n - 26. Let w be -3 - (2 + -1*n). Solve -10 = -w*h + h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuhbbkbtbtt. What is prob of picking 3 t?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 6, 2 in ascending order.\nAnswer: 2, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 39, 19, -13, -57?\n\"Answer: -6*o**2 - 2*o + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23339533*q**3 - 4*q**2 - 24821*q - 34 wrt q?\nAnswer: -140037198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880 is divided by 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*i - 1, -3*o - i = o - 17. Suppose 6 = r + f + f, -16 = -o*r - 4*f. Solve -r*c + 0*k = -2*k + 4, 4*c + 10 = 5*k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/420 and -89\/592.\nAnswer: 62160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from {p: 1, r: 1, v: 2, u: 2, d: 1, c: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -431611*p**2*u**5 - 212*p**2*u**2 + 362*p**2 wrt u.\nAnswer: -25896660*p**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 + -34 + 88 - 4?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 3*q + 3*o + o, 3*q - 4*o = 116. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5079, 6950, 10069, 14436?\n\"Answer: 624*t**2 - t + 4456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1034*j**3 + 6*j. Let n(m) = -2065*m**3 - m**2 - 15*m. Give -5*b(o) - 2*n(o).\nAnswer: -1040*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -223, -1\/7, -166.5, 7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -495, -490, -485, -480, -475, -470?\n\"Answer: 5*n - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 3*m**3 + 1766*m - 5*m**4 - 1701*m + 6*m**4 + 3*m**3 in the form y + f*m**3 + u*m**2 + n*m**4 + o*m and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a + 60 = -12*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + -1. Let n be 42\/(-24) + 6\/g. What is the third biggest value in n, 1\/3, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -5\/8, 3?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003495715 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -11 (c) -0.5 (d) 0.3 (e) -2\/9 (f) -39.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-16))\/(2\/(-12)). What is the second derivative of 10*b**5 + 3*b - 2*b**3 + 2*b**v - 11*b**5 wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1847454.\nAnswer: -1\/1847454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2457 + -3597. Round j to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 2*i + 13 = -3*u, -u - 2*i = 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -336 and -669 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 4*m + 24, 4*v + 3*m - 84 + 104 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h. Let v = -6 - -10. Let l(b) = 3. Let r(d) = -d - 2. Let w(k) = v*l(k) + 6*r(k). Determine w(p(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 442709, 3540877, 11950195, 28326239, 55324585, 95600809, 151810487?\nAnswer: 226609195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -10*z + 1309. What is the least common multiple of z and 28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 7*m**2 + 1 + 712*m - 6*m**2 + 669*m + 414*m.\nAnswer: m**2 + 1795*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 7*q**2 + q - 24. Let l be b(-6). Solve 0 = 5*c - 4*p + 19 - 4, 2*c - 5*p + l = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170946 and 2253?\nAnswer: 128380446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2057))*6 + -6*(sqrt(2057) + 1)**2 + 4 + (((sqrt(85) + (sqrt(85) + (sqrt(85) - sqrt(85)*3))*-2)\/sqrt(5) + -2)*1)**2.\nAnswer: -12187 - 78*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2310 and 126?\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**4 + 0*p**4 + 5*p**4)*(1 + 1 + 0)*(3 - 18*p - 3).\nAnswer: -72*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 - 9*f**3 - 16*f**3 - 21*f**3.\nAnswer: -39*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*15\/18*(-4)\/6.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -43. What are the prime factors of 21\/63 - c\/3*43?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -362a06 (base 11) to base 16.\nAnswer: -8c59d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from kllgerellmmmekm.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 - 3*p**2 - 3*p + 2. Let b be h(3). Calculate the highest common factor of b and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11670 (base 11) to base 3.\nAnswer: 212000022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 1:10 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) - (sqrt(48))**2*4.\nAnswer: -192 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26606 times -4?\nAnswer: 106424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 3, n: 5, y: 7, b: 2}. What is prob of sequence bp?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 25772*c - 1161775. Give h(-45).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x + 37*x = 82*x + 19046. Does 4 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, -31, -47, -67?\n\"Answer: -2*t**2 - 6*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3460 and 3114.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6*10 - 2) + -3. Let s = z + -18. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36414 + 30426 + 3454 + 16989 - 1746 + 1 + 3 - 3 + 0 + 6 - 5 + (-2 - 3 + 4)*(-2 - 2 + 3) - 6 + 5 - 1 + 4 + 3 - 5)*(2*u - u - 2*u).\nAnswer: -85540*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2001*c + 2001*c + 0*c**2 - c**2. Let q(f) = -55*f - 44. Let d(y) = y + 1. Let n(w) = -44*d(w) - q(w). Determine n(i(x)).\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 224 - -270. Suppose m = 7*k - 5*k. Suppose 5*y - 5*o = -2*o + k, -4*y = 2*o - 180. What are the prime factors of y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -22\/12803?\nAnswer: -22\/12803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**7\/210 + l**5\/100 - 2*l. Find m, given that j(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmd when three letters picked without replacement from {m: 16, d: 4}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {i: 2, p: 17}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -324*(207\/(-368))\/(12\/16). Calculate the highest common factor of x and 2889.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/42)\/((-912)\/(-13680))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z + 27 = -j, 0 = -2*j - z + 12. Suppose -g - 1 = 2. Let d = g + 3. Solve -4*c = -12, 0 = 5*f - j*c - d*c - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1729610861 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((58220\/(-123))\/(-71))\/16\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -441*n - 12348. Calculate s(-28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*sqrt(20)*-1)\/(sqrt(40)*-1)*-5 + -1)**2.\nAnswer: 30*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4031532191 to the nearest integer?\nAnswer: 1592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.612 - 5.612. Which is the closest to 0? (a) 88 (b) y (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -91688918, -91688925, -91688944, -91688981, -91689042?\n\"Answer: -l**3 - 91688917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 847*v = 5*l - 0*l + 843*v, 4*v = 4*l + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*z**2 - 201*z**2 + 1 - 194259*z + 8326*z + 161*z**2.\nAnswer: -z**2 - 185933*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2304074405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 divided by 2?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzi when three letters picked without replacement from iyyyyyzzyyyyyyzzz.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 3, 0.031?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 9:04 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/18 and -15\/274.\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*o + 43002 = 183*o. List the prime factors of o.\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/10 of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.479062 + -2.1.\nAnswer: -1.620938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (33\/3 - -1)\/(5 + -3). What is the remainder when 19 is divided by -3*(-1 - (-4)\/m) - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 20*d**2 + 157*d + 781. What is b(-25)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**6\/6 + o**5\/2 - 5*o**4\/12 - 52*o - 1. Suppose p(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - 1.4. Let g = -4 - m. Let n = -0.3 + 0.1. What is the second biggest value in n, g, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, w: 8, e: 7}. What is prob of picking 2 v and 1 e?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xssgsggsgggvggggv. What is prob of sequence sgs?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-1\/8)*r\/r**10 assuming r is positive.\nAnswer: r**(-63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((13\/(-3))\/(-1))\/(2\/(-10)*2765\/6636)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.58371 to one dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249519031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = u - 24, 5*u - i = -12 + 90. Solve -13 = y - u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 1, 38 in descending order.\nAnswer: 38, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 247979*c*i*w**5 + 4*c*i - 103*c*w**5 - 11*c*w - c + 174*i*w + i + w - 33 wrt w.\nAnswer: 4959580*c*i*w**3 - 2060*c*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -230*p - 37097 + 43537 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1281 divide 5499333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118 - -641. What are the prime factors of u?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7567 (base 8) to base 11.\nAnswer: 2a7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -43. Let w(y) = -y**2. Let q(o) = 5*o**2 + 1. Let k(z) = -q(z) - 6*w(z). Let t be k(1). Which is smaller: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2121 divide 173362056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 - 5*n + 5. Let m(w) = 5*w**2 - 6*w + 6. Let o(u) = 6*k(u) - 5*m(u). Let z(d) = -8*d**2. Give z(o(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36970573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 3*c - 49. Let j be n(6). Suppose -22 = -j*i - 6*i. Suppose 0*r - i*r = -4*b + 33236, -b - 4*r = -8327. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a centimeter in micrometers?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -11*m + 61. Let r(o) = 5*o - 31. Give 6*q(i) + 13*r(i).\nAnswer: -i - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -408 + 408. Let v(w) be the first derivative of 0*w + o*w**3 + 0*w**5 + 0*w**2 - 5\/6*w**6 + 5\/4*w**4 + 12. Factor v(q).\nAnswer: -5*q**3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/7 (b) 1 (c) -3\/25 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*g - 4*x, 2*x + 2 = -2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 30990 to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k + 61. Let b be g(-10). Is b\/(-6 - (-460369)\/76727) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*k - 54112 = 311*k + 345*k + 133*k for k.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*((sqrt(147) - (sqrt(147) + sqrt(147) + -2))**2 - (sqrt(33)\/(1*sqrt(11)) + sqrt(3))).\nAnswer: -60*sqrt(3) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 72448050209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-16 + -18 + 10)) + 10\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -35*i + 269 + 167 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n - 2*n + 3*n. Let m(t) = 3*t - 6*t + t. Give m(y(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3 = -v - 14, 4*m = 5*v - 60. Let z be 34\/v - 10*14\/35. Let w = 4 - 2. Which is the fourth smallest value? (a) 5 (b) z (c) w (d) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10110423 + 214?\nAnswer: -10110206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**4\/9 - 20*y**3\/9 + 2*y**2 + 20*y\/9 - 19\/9 = 0.\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 725 + 300 - 23*g - 1025.\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637)*-3 + 4)**2 + -4 + (sqrt(52)\/sqrt(64))**2)*-3.\nAnswer: -275799\/16 + 504*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2351?\nAnswer: 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c - 43. Let t(x) = -3*x - 29. Calculate -5*r(h) + 8*t(h).\nAnswer: h - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 105, 219, 341, 471, 609, 755?\n\"Answer: 4*k**2 + 102*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*o - 6*n - 196, -4*o = 3*n - 168. Let i be (-2)\/6 - (-147)\/9. Let t be i\/3 - (-2)\/(-6). Calculate the greatest common factor of o and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -677.399325 - -686.993. Let d = -0.406295 - s. Let n = 10 + d. What is n rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18517\/40 - 463. Find the common denominator of (-219)\/60 + (-1)\/5 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -590328 by 36.\nAnswer: -16398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 158080? (a) -1 (b) -4\/7 (c) 2 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1057\/119 + (-60)\/(-510).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/7, -13.\nAnswer: -13, -3\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1725 = -2*i - 0*b, -5*b - 2598 = 3*i. Let d = i + 1269. Suppose 0 = -5*k + d - 123. Calculate the lowest common multiple of k and 8.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*3\/(-18)*(-16)\/4. Let j(x) = x**3 - 3*x**2 - 6*x + 9. Calculate the remainder when 3 is divided by j(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*50\/(-75)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/108 and -83\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -17.49. Let p = -68.51 + i. Let h = 68.9999956 + p. Round h to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 6:39 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + -25. Let y = g - -60. Suppose -2*l + 5 = -3*l, -3*j + l + 1551005 = y. Round j to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2310, 2449, 2594, 2745, 2902, 3065?\nAnswer: 3234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -24*(50\/(-8))\/(-5). Let d = -15 - m. Solve 4*f = -5*g + 15 + 10, 0 = 3*g + 3*f - d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*d - 27 = 3*d, 45 = 5*j - 3*d. Solve j*w - 8*w = 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 7, -2, -3277, -5, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: 308986191+31140\nAnswer: 309017331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 250853399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -5*w - 4*a + 22, -3*w + 2*a + 9 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1108272163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 5:56 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4179\/(-1194))\/((-42)\/(-96))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n, -5*v - n + 2430 = -3*n. Suppose 3*u - 3726 = -v. Suppose 3*b + f = -2815, 2*b - 5*f + 825 = -u. What is b rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*540\/54?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 6 = 0, 53*w + 8 = -2*n + 54*w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 28. Let k be -1*(h + 4)*-1486. Is (-2 + 3)\/(2\/k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**3\/6 + 15*z**2\/2 - z. Let r(n) = -n**3 + 5*n**2 + n - 3. What is the smallest common multiple of d(9) and r(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11*j + 9. Let c(b) = 5*b - 4. Give -9*c(m) - 4*u(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200110113323 - -333?\nAnswer: -200110112330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 9:53 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 7. Suppose 6 = -3*s, -y - 44 = -3*y + 5*s. Let q = y + -10. Calculate the least common multiple of q and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1\/2, -4, 0.06, 43?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 7:21 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4044 is divided by 285?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = -z - 0, 5*z - 31 = t. Let y(p) = p**3 - 7*p**2 + 6*p + 1. Determine y(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 15*f + 14. Let u be d(-15). Let v = u + -7. Let l(s) = 13 - v*s - 14 + 3*s. What is l(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -350.27915*3.\nAnswer: -1050.83745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 3:55 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 7 = -39 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1163769\/10 or 116378?\nAnswer: 116378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 151, 243, 335, 427?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -14345440\nAnswer: 1\/7172720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38609 + 38614. What is the biggest value in -5\/178, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14*2\/3)\/((-2)\/9). Suppose 0 = -t - 2*t + g. Solve 2*j - 4 = -t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100.9 - -111. Let z = 9.1 - j. What is the third biggest value in 1\/4, -19, z?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: c (base 15) to base 9\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/18)\/((-24)\/(-18)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**10)**(-9\/2) assuming s is positive.\nAnswer: s**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 524, -1\/16, -4, -3 in descending order.\nAnswer: 524, 0.2, -1\/16, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -11111111?\nAnswer: -100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 1:01 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**5\/60 - c**4\/6 - c**3\/2 - 2*c**2. Let z(l) be the third derivative of -l**4\/12 + 2*l**3 + l**2. Let h be z(8). Give t(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -20. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*s + 18 = -0*s, 4*z + s - 21 = 0. Suppose -2*l + 1115 = z*u, 180 = u - l - 43. Round u to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3 + 264*s**4 + 59*s**5 + 61*s**5 + 3 - 21*s**3 + 99*s**3 - 9*s + 24*s**5 - 51*s**2 = 0 for s.\nAnswer: -1, -1\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + 3. Let w(x) = x + 3*x - x - 1 - 2*x. Let g be w(7). Let m(i) = 1. Let h(v) = 11*v - 15. Let z(a) = h(a) - 2*m(a). Give g*z(j) + 34*k(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-784)\/343)\/(20\/(-35))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -75228, -75293, -75466, -75801, -76352?\n\"Answer: -9*x**3 - 2*x - 75217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/2 - -1)\/(45\/(-20))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -67, -1\/49, 187\/7?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - k**2 + k + 2. Let f(t) = 20*t**3 - 4*t**2 - t + 2. What is -f(h) - l(h)?\nAnswer: -22*h**3 + 5*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*h*l**3 - 195*h*l**2 + 1418*h + 13859*l**3 + l**2 - 4 wrt l.\nAnswer: -126*h + 83154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1.5. Let m = -80\/427 + -6\/61. Let a = 668\/5 - 134. What is the closest to m in -2, a, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2279151*c**4 - 3865161?\nAnswer: 9116604*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 398*w**3 + 363*w**2.\nAnswer: 2388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+461011551\nAnswer: 461011550.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48320102797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -26.6?\nAnswer: 106.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1535 * 1\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1090\/(-10791))\/(595\/(-44982))?\nAnswer: 84\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h**3 + 6*h**2 + h + 1. Suppose -2*j - 8 = -4. Let d(f) = f**3 + f**2. Let b(o) = j*y(o) + 14*d(o). Solve b(n) = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 17*t**2 - t**3 - 3*t**3.\nAnswer: -4*t**3 + 17*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52390.79 grams in micrograms?\nAnswer: 52390790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 7*u**2 + 9*u + 4. Let a be w(-6). Suppose -2*n = -6 - 2, -2*b - 4*n = -40. Calculate the remainder when a\/(-2 + (-16)\/(-10)) is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 14, y: 5}.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2039*h**4 - 3292 - 2*h**2 + 1233*h**4 + 2*h**2 + 0*h**2 wrt h?\nAnswer: 13088*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 10188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -585, -2006, -4245, -7296, -11153?\n\"Answer: f**3 - 415*f**2 - 183*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -10*a**3 + 3*a**2 + 3*a - 2. Let t(y) = -y**2 - y + 1. Let u(k) = -f(k) - 3*t(k). Let o be u(1). Suppose 0 = -x + 1 + o. Is x equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.4989942ng?\nAnswer: 0.0004989942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - 11*q**2 + 7*q - 4. Let h be b(5). Suppose 0 = h*a - a - 100. Solve -3*t - a = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**2 + 0*u**2 + 0*u**2 + 0*u**2.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 2 = 20*b - 22*b, -13 = -2*v - b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - h = -8, 7 = 3*a + 29*h - 25*h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15344 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 541928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6b - -b5113c?\nAnswer: b511aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2333 divided by 1?\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-2)\/3 - 6\/(-36)). Let 3\/5*m**d + 1\/5*m**3 + 0 - 3\/5*m**2 - 1\/5*m = 0. Calculate m.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 16 = 4*m - 50, -10 = -5*g. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -123518812, -123518799, -123518786, -123518773, -123518760?\n\"Answer: 13*u - 123518825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/(-11))\/2 - (-14)\/(-77).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/16, 0.5, -24, 6, -1, 18, 27.\nAnswer: -24, -1, -3\/16, 0.5, 6, 18, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 726 plus 2.7?\nAnswer: 728.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/308660 and -16\/161?\nAnswer: 2160620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -246613, -493229, -739845, -986461?\n\"Answer: -246616*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.26 + -0.26. Let m = 2 - s. Let h = 10.5 + m. What is the biggest value in -1\/3, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10527 rounded to three dps?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 2*q + 4*r, 2*q + r - 21 = 7*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f*f\/((f*f**7)\/f)*f))**31)**(-2))**14 assuming f is positive.\nAnswer: f**(-3472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 9:44 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 185 and -100?\nAnswer: -18500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40870 and 2680.\nAnswer: 163480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 855*b**2 + 17*b - 5. Let x(u) = 31*u. Calculate f(x(s)).\nAnswer: 821655*s**2 + 527*s - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/395, -0.4, 0.3?\nAnswer: 2\/395","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -134142724*y**3\/3 - 32516465*y**2\/3 + 252868*y\/3 - 484\/3.\nAnswer: -(4*y + 1)*(5791*y - 22)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5797 divided by -11\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4180 = 335*s - 115*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037 is divided by 1036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = f - 3*f. Suppose -n + f*t = -8, 0*n - 4*t - 2 = -n. Let i(v) = 3*v - n - 20 + 34. Let x(u) = -10*u - 1. Give -7*i(m) - 2*x(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 4*h + 4, -40*h = -35*h + 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 + 0.02. Let m = 0.12 + s. Let l = 0.91 + 4.09. Which is the closest to -1? (a) m (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570 a factor of 177809211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3639000 rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19.2 + 38.5. Let h = n + -22.3. What is the smallest value in 54, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30254221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3089916*v**3 - 1545019*v**3 - 1544894*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 8, 4, -13, -25, 147 in ascending order.\nAnswer: -25, -13, 4, 8, 12, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 361472?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61825*v**3*y + 1975*v**3 - 8395*v**2 + 6*v*y + v - y - 9 wrt v.\nAnswer: -370950*y + 11850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 8*b**2 - 8*b - 20. Let h = 148 + -142. Let c be x(h). Suppose 3*m = -m + 16. Solve -4 = -c*z + m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-52 - -49 - -41)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - a)*((10 - 1 - 2)*(a + 4 - 4) + (-4 + 0 + 3)*(0 + 2*a + 0) + 4*a - a - 2*a - 74 + 2*a + 39 + 41).\nAnswer: -8*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from hhxwhwccjw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 163*o**3 - 2*o**2 + 12634*o - 12633. What is c(1)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 759 = -4*c + 43, -5*c = -25. Does 22 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1848 is divided by 164.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 238 + -94. Let z = -133 + s. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -183*0.2\nAnswer: -36.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32939560082044*v - v**2 + 32939560082044*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 33, 0.9, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-508)\/(-3))\/(2\/3). Suppose -5*k - 79 = -r. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 5*k**4\/12 + 290*k**3 + 75690*k**2 + 4*k - 616. Find p such that t(p) = 0.\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -155 (b) 3 (c) -2\/5 (d) 2 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 5. Let u be m(2). Let g(q) = -q - 2. Give g(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1\/12 (c) 2\/6351 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 3840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 + 3*y + 44. What is t(0)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from xooivefi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + m + 2*m**5 + (-163*m**3 + 163*m**3 + 17*m**4)*(7*m + 1 - 1).\nAnswer: 121*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1*(-2)\/10)\/((-235)\/1175))\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 744.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 + 10*g**2 - 4*g + 3*g + 2 - 4*g + 4*g to the form x + r*g + y*g**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(4 - 2)*-2. Let h be (-47)\/(-4) + (-4)\/(-16). Is h - (-2*l - -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 262*s**4 + 114*s?\nAnswer: 3144*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 441 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-27)*(-2387304)\/14944?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*j = -21*j - 2023 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 36, 103, 196, 315?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3280*w + 3280*w + 4*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 1:17 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -1059.\nAnswer: -4236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-13 + 7)\/1*7223\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425)*-1 + -5 + 5.\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5\/4*q**2 + 3\/4*q + 1\/2 = 0 for q.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1514a6 (base 12) in base 10?\nAnswer: -354942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -185.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -82*r + 518. Give j(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17941547 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 116942.901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 - 11*q**3 - 25*q**2 - 19*q**3 + 16*q**2 wrt q?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7089*t + 77005. Calculate o(11).\nAnswer: -974","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 plus -0.9811?\nAnswer: -0.9511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2353 - -2524. Let b(i) = 988*i**2 + 171*i. Let g(m) = 23*m**2 + 4*m. Determine p*g(h) - 4*b(h).\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221 and 2539069?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 2:42 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 4838?\nAnswer: -4834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u + 3. Let t be c(2). List the prime factors of (-3 - -3 - t)*26.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -6*t - 12. Suppose -8 = -0*g - t*g. Solve 0*r - g*r - 10 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 8:11 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7842 is divided by 1566.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 84c6 - c?\nAnswer: 84b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.4 + 0.4. Which is the closest to -0.1? (a) n (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*v - 30, 0*v + 5*t = -4*v + 33. Suppose -j + 4 = v. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 4:02 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 - 10?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 1530 - 270 = 0. Does 20 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21933.\nAnswer: 3, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 3. Let y be l(8). Let t(i) = i**2 + 6*i + 7. Let w be t(y). Let x(a) = -3*a**3 + a**2. Let p be x(1). Sort w, 0, p in descending order.\nAnswer: w, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -517371 times 0.1\nAnswer: -51737.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20 or -352892\/16911?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12053, 13287, 14521, 15755?\nAnswer: 16989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 17*v - 12. Calculate m(9).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30401 - 62*n**2 + 15202 + 15199.\nAnswer: -62*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -13. Let f = i + 11. Suppose g - f = -g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(864)*2).\nAnswer: sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 918 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6240*i**2 + 4*i + 0*i + 6177*i**2 in the form q + w*i + n*i**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004188 to six decimal places.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - 163 - 4764*s**3 + 0*s**2 + 161.\nAnswer: -4764*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 1949, -20.71?\nAnswer: -20.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55130?\nAnswer: 2, 5, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 7391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 2652286.\nAnswer: 1\/1326143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s**3\/9 - 220192*s**2\/3 - 73398*s - 165146\/9 = 0. What is s?\nAnswer: -1\/2, 82573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.24, 3\/8, 225, -6 in descending order.\nAnswer: 225, 3\/8, -0.24, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*b**2*f**2*x + b**2*x + b*f*x - 47412*f**2*x - 1773*f*x + 63*f wrt f.\nAnswer: -14*b**2*x - 94824*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 34. Let z = -18 - f. Calculate the remainder when 18 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77\/204 - 24703\/2652. Let b = -1273\/130 - q. Is 0.21 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 1)*(5 - 3). Suppose 3*f - 6 = q*j, -6*f - 5*j = -3*f - 33. Let t(v) = -2 + f*v + 4*v - 12*v. Determine t(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 9*a + 47. Let z(u) = -5*u - 24. Let i(s) = 4*k(s) + 7*z(s). Let q be i(7). Is (3\/q*3)\/(3\/5823) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -43*g**2 + g + 126*g**2 + 6*g - 41*g**2 - 37*g**2 - 1. Let i(j) = -j + 1. Let a be i(6). Is r(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1874430 minus 0.11?\nAnswer: -1874430.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2053*x**3\/2 - 209399*x**2\/2 - 213869*x - 728 = 0?\nAnswer: -2, -7\/2053, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126285397 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 163*u + 9140. Let o be s(-56). Suppose 0 = 2*b + x + x + 2, -5*b + 7 = 2*x. Let l be 12\/2 - 6\/b. Calculate the highest common divisor of l and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 - 42*j**2 + 7*j - 71. Let c be (4 - 3)\/(2\/(-68)). Is p(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 253 + -177. Let d = u - 41. Let h = 167422 - 167142. What is the greatest common factor of d and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -336446?\nAnswer: -336451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -49*v**2 - 1589*v + 2630. Determine g(-34).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -1\/6*u**4 + 7*u + 0 + 127\/2*u**2 + 1\/3*u**3. Is o(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4\/9, -44.\nAnswer: -44, 4\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 221919 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 6*u - 1. Let t = 154 - 148. Let b(h) = h. Give t*b(d) + q(d).\nAnswer: -d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -2178\nAnswer: 6534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388 divided by 6.\nAnswer: 194\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 6:59 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 127 = t, t = -3*c - 4*t - 383. Suppose -44 = 2*b - 2*p - 3*p, 0 = 5*b - 4*p + 110. What is the units digit of (-4)\/b + c\/(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**5\/5 + 4*b**4\/3 - 10*b**3\/3 + 4*b**2 - 3*b - 7. Let j(t) be the first derivative of v(t). Find l, given that j(l) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*i = -i - 14, -4*i - 32 = 4*u. Let b be 10\/u*(-135)\/6. Calculate the highest common factor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -3*f - 5*x, -26*f = -23*f - 3*x - 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from big. Give prob of picking 1 b and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-3))\/((-170)\/30 + 6). Put k, -38, -7 in descending order.\nAnswer: k, -7, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -44.4. Let h = 0.41 + -0.01. Let l = a - h. Put 0.4, l, -2\/19 in decreasing order.\nAnswer: 0.4, -2\/19, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 2)*(i - 5*i + 2*i) + (2 - 2 - 2*i)*(1 - 1 + 6) as q + k*i and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 34 = 2*r, -16*m = -1034 + 954 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8c7 + 4?\nAnswer: 8cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*l - 7*l + 8*l + (-1 + 1 + 1)*(-4*l + 3*l + 0*l) in the form z + y*l and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c - 21. Let y be j(8). Let l(o) = 47*o**2 - 9*o - 17. List the prime factors of l(y).\nAnswer: 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -55*x - 7. Let l(m) = -56*m - 5. What is 6*l(k) - 4*u(k)?\nAnswer: -116*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3191375381.\nAnswer: 103, 269, 115183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448*y - 56*y - 10679 = -2111 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2))**29\/(r\/r**(-1))**(-10\/9))\/(((r**(-2\/3)\/r)\/((r\/(((r**(-2\/9)\/r)\/r)\/r))\/r))\/(r**(-1))**(-36)) assuming r is positive.\nAnswer: r**(515\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -6*b + b + 80, -b + 4*f + 1 = 0. Let v(d) = d**3 + d. Let r be v(-1). Let j be (234\/r)\/(2\/(-2)). Calculate the greatest common divisor of b and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**6\/120 + a**5\/6 + a**4\/4 - 13*a**3\/6 + 47*a**2\/2 + 85. Let o(m) be the second derivative of p(m). Determine o(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 17\/2 (b) 0 (c) -0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 70000 = 4*r + 69994, 3*c - 28 = -2*c + 3*r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 + 3 - 3)*(3 + a**2 - 3) - 3*a**5 - a**5 + 2*a**5 + 0*a**5 + 3*a**5 - a**5 - 145*a**5 - 188*a**5 + a**5.\nAnswer: -331*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 56 + 6 = 0. Find the third derivative of -16*r**3 - 22*r**2 - v*r**2 - 2*r**2 + 2*r**3 wrt r.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in sixty-one halves of a milligram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 981 - 976. Let b = -43 + 40. Let q = -4 - 0. Sort q, b, d, -6 in descending order.\nAnswer: d, b, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*z**3 + 148*z**3 - 54*z + 54*z - 4683*z**2 + 4683*z**2.\nAnswer: 132*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 11*s + 16. Let v be o(12). What is the third derivative of 20*t**4 - 16*t**v + 14*t**2 - t**2 wrt t?\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2439685828.\nAnswer: 2, 609921457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.48 + -15. Let w = -0.02 - g. What is the closest to 2\/9 in w, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 3\/((15\/(-5))\/(-400 + 0))?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2049?\nAnswer: 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j = -2*j + 2*j + 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k - 28 = -19*k. Let z be 8\/28 + 18\/k. Let b(d) = 2*d + 2. Let c(g) = -g. Calculate z*c(i) - b(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 10:48 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 1\/420*x**6 + 0*x + 0 + x**2 + 3\/7*x**3 + 1\/30*x**5 + 5\/28*x**4. Let p(d) = 0. Calculate d.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.35 - -0.25. Let f = -0.1 + k. Let m = -12 - -12.5. Is m greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344871?\nAnswer: 3, 53, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4229481?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 1116*y + 0*y**2 - 1120*y. Let m(i) = -4*i**2 + 10*i. Let w(v) = 2*m(v) + 5*u(v). Let s(c) = -3*c - 7. Calculate w(s(l)).\nAnswer: 18*l**2 + 84*l + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.98 - 3. Let y = 0.4 - 0.52. Let t = x - y. What is the nearest to t in 3, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1657 = -174*q - 265. Suppose 3*x - 7*x = -256. Calculate the highest common divisor of q and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/9 + 9316*s + 97636338.\nAnswer: 2*(s + 20961)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 3*x**2 + 14*x - 17. Let u be (-6)\/27 - (2820\/(-54))\/10. Let v be y(u). Solve v*l - 9 = -0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1231111232 - 121?\nAnswer: 1231111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 44*a - 29. Is x(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 10:19 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1062 + 2251. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 679 divide 1726864249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**3 - 410 - 4*t + 410 + (-t**2 + 4*t**2 - 4*t**2)*(4*t - 3*t + t).\nAnswer: 3*t**3 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*q - 41. What is the second derivative of 0*h**2 - 9*h**2 - q*h**2 - 2*h**2 - 16*h wrt h?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34 (b) 1\/8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -14*h - 261. Determine u(-23).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/5841 and -79\/12?\nAnswer: 23364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 138*s. Let w(l) = -39*l + 2. What is m(w(j))?\nAnswer: 3042*j**2 - 5694*j + 284","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 0*o - o)*(-19*o + 16*o - 47*o)*(-5*o**2 + 5*o**2 - 3*o**2) + 8*o**4 - 47 + 47 as l*o**4 + f + u*o**2 + t*o**3 + s*o and give l.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99856848558 - 7236.\nAnswer: -99856855794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.38007.\nAnswer: 1.14021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 3. What is w(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -167 + 1839\/11. Calculate the common denominator of -17\/60 and r.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3842460.\nAnswer: 2, 3, 5, 21347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t + 5 = -4*l, t - 5*l - 30 = 0. Suppose f - 8 = -t. Calculate the remainder when 62 is divided by f - (854\/(-84) - (-1)\/6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r - 10*r + 9*r)*(1 + 2 - 7)*(4 + 0 + 2) as o*r + j and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 0, -3, 1 in ascending order.\nAnswer: -3, 0, 1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -7. Let w(l) = -81*l. Let n(s) = 662510 - 5*s - 662510. Give k*w(m) + 33*n(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-3 - -2 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1006293 and 3054.\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -295, -1102, -2679, -5284, -9175, -14610, -21847?\nAnswer: -31144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (18\/30)\/((-1854)\/(-88168)*4\/3)\nAnswer: 107\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -38180 not equal to -2099838\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.8 + -3. Let x = 0.9 - q. Put -5, -1, x in descending order.\nAnswer: x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from {q: 7, m: 4, g: 4, c: 3}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -4 (c) -5 (d) -1.921 (e) 1 (f) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3551 is divided by 1097?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10687*s**2 - 3606.\nAnswer: -21374*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.058506336 to 5 decimal places.\nAnswer: -0.05851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1292)\/170)\/(4\/10).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(15\/8)*a**(-7)*a)\/(a**(3\/10)\/((a**(-4\/11)\/a)\/a)))**(-2\/13) assuming a is positive.\nAnswer: a**(2987\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*m - 3, 3*y - 3 - 12 = -5*m. Solve j = -3*a + m + 8, 9 = -2*a + 3*j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-0.61552067\nAnswer: -1.01552067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (4 - 1) - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1372 and 441.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 12*y**2 - 96*y + 3. Let s be q(8). Solve -i = -5*g + 4*g, 4*i = s*g + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**2*p**2 + 1327407*m**2*p - 1690191*p**5 - 10*p wrt p.\nAnswer: -4*m**2 - 33803820*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + 0.5. Let k = -4 + 7. Suppose -k*q - 4*h - 7 = -0*q, -5*q - 3*h = 30. Is q > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 + 22*j**2 + j + 26. Let h be y(-11). Let n be 7\/((-35)\/h) - -21. Calculate the greatest common divisor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**5\/7 - 27*w**4\/7 + 405*w**3\/7 - 1377*w**2\/7 + 1458*w\/7.\nAnswer: -3*w*(w - 3)**3*(w + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(91)*-2)\/(sqrt(1008)*1 - sqrt(7)).\nAnswer: 2*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 553391, 553393, 553395, 553397?\n\"Answer: 2*l + 553389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16278 is divided by 1627?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3742 (b) -29\/4 (c) 1 (d) -0.1 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -4005072.\nAnswer: 1\/4005072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -10. What is the highest common divisor of r and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 771652975 to the nearest integer?\nAnswer: 27779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-8)\/18 + 116148\/108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 6*d + 11. Let j be h(-5). Solve 1 = u + 3, -4*u = -2*y + j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-10)*(-4)\/(140\/(-25))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 40188746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 b, and 1 q when four letters picked without replacement from qqqqiibqqbq?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -54196 divided by -10926\nAnswer: 27098\/5463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (9\/3)\/(637\/49)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 5, 122190, -4 in decreasing order.\nAnswer: 122190, 5, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-33)*r)\/(r*r*r**(3\/7)) assuming r is positive.\nAnswer: r**(-241\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 4*m + 17 = -15, -5*m - 15 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -261 and -88.6?\nAnswer: 23124.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/10 and 29\/(-3) - 4\/1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -383006*g**2 + 768441.\nAnswer: -766012*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 340*y**2 - 3852*y - 60. Let j(l) = 136*l**2 - 1541*l - 25. Let v(x) = -5*a(x) + 12*j(x). What is the second derivative of v(i) wrt i?\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5652?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 229 + 19. Let i = -65 - t. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 52*g**3 + 13*g**2 + 7*g - 2. Let y(q) = 104*q**3 + 30*q**2 + 15*q - 4. Determine 9*s(o) - 4*y(o).\nAnswer: 52*o**3 - 3*o**2 + 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 78997838 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, 0.06, 1, 0.4, -4 in decreasing order.\nAnswer: 1, 0.4, 0.06, -4, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, 1, -229\/1507, -1\/3.\nAnswer: -2, -1\/3, -229\/1507, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17\/3 - -116\/21. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b8c - -17a?\nAnswer: 3039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, e: 3}. Give prob of picking 1 e and 1 s.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-88) + (-328)\/(-11). Solve -51*g + d = -57*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-138459)\/(-72)*-2 + (-1)\/(-12). Let x = i - -7568. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -241\/3104?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1181\/1021, -1\/2 in descending order.\nAnswer: 1181\/1021, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/62 - -159\/434. Let i = 5 + -1. Let p = -1\/317 + -1582\/951. What is the closest to v in p, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -193 - -193.1. What is the closest to s in -1\/16, 1, 0.3?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10299 is divided by 477?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oottowowtoootoot. Give prob of picking 3 o.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30126997?\nAnswer: 30126997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 259 + 200. Calculate the highest common factor of j and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 2, -7, 3, -2685, -5, -2 in decreasing order.\nAnswer: 16, 3, 2, -2, -5, -7, -2685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = 13*c + 16*c - 144. Solve 8 = c*x - 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(3)))**2*-3.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09452 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 + 0*t**2 - t**2 + (-t + t - 2*t)*(28*t - 10 + 10) as n + m*t + r*t**2 and give r.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 3*i - 7 + 4, 0 = 2*x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 4:04 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5693185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7193704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49374 divided by 519?\nAnswer: 16458\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = -3*y + 9, -5*m + 22 = 2*y. Suppose 0 = -5*q + y + 14. Suppose 3*n - 236 = f, 5*n + 37 = -q*f + 435. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -158.33 + -2.67. Let q = 160.5 + m. What is q rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3433136601388 and -0.097.\nAnswer: -3433136601388.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5326*i - 9. Is x(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2. Let f(d) = 5*d**2 - 4*d. Let g(z) = -45*z**2 + 35*z. Let c(a) = -35*f(a) - 4*g(a). What is l(c(j))?\nAnswer: -50*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 50 = -4*v, 9*v = 5*q + 8*v - 269. Calculate the greatest common divisor of q and 10503.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, b: 11}. Give prob of sequence xx.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**3 - 909*x**2 - 102*x - 30906. Calculate t(-303).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-2) - 2820)*(-34)\/340. Is 283 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 - 291*f**3 - 44520*f**2 - 1908800*f - 26304000.\nAnswer: (f - 411)*(f + 40)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v - 4. Let c be u(-2). Let q be (-32)\/(-17) - 8\/(-68). Suppose -3*f = -q*y + 336, y + c*f = -3*f + 177. What are the prime factors of y?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31479812 a multiple of 439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 626*l - 7. Let h(q) = 3132*q - 39. Determine -11*f(o) + 2*h(o).\nAnswer: -622*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/(-42))\/((-40)\/(-112)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeyy. What is prob of picking 2 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1578862.\nAnswer: 2, 19, 41549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 28, -13\/6, -17?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*a - 6 - 0, 0 = -z + a - 12. Let v be (-2)\/z + (1626\/42 - -6). Calculate the highest common factor of 30 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/266, -2, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117154 + 167355. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61 + -60)*(70\/10 + 36).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 13*c**2 - 11*c - 9. Let n(p) = -7*p**2 + 6*p + 5. Let t = 5 + -1. Let s = 9 - t. Suppose -j + 27 = 2*x, -j + 44 = s*x - 16. Give x*n(k) + 6*r(k).\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 14, r: 5}. Give prob of sequence prr.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 7:01 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (18\/4)\/(5\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131213118.\nAnswer: 2, 7, 109, 105899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 1:52 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -11*b**3 + b**2 + 3*b - 14. Determine x(-3).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*o = 296*o - 91*o + 39060 for o.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) -0.3 (b) 0.1 (c) 13 (d) -5\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 46*j + 5. Let y(g) = -46*g - 6. Calculate -6*k(u) - 5*y(u).\nAnswer: -46*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2176 by -1088.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(2200)*-6)\/((-4*1*sqrt(121))\/sqrt(11)).\nAnswer: 2 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14033 is divided by 242?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**3 + 12*b**2 - 7*b + 9. Calculate m(3).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -494594, -106, 1 in increasing order.\nAnswer: -494594, -106, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + -0.73. Let t = 3.97 - k. Let v = -3.9 + t. Do v and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -11*b + 130. Let i be q(10). Suppose -31868 - 162572 = -i*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -393?\nAnswer: -393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*r - 16*r - 41*r to v*r + b and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -8 + (18 + 5 + -37 - 10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.347*-0.9\nAnswer: 1.2123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31566?\nAnswer: 2, 3, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -1*sqrt(243) + 2 - 2*(-4 + -3 + sqrt(243))) + 4)**2.\nAnswer: -918*sqrt(3) + 2476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 690060 to the nearest ten thousand.\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650.0398 centuries to months.\nAnswer: 780047.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115034196238413 - 0.\nAnswer: 115034196238413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 296518.39*-4\nAnswer: -1186073.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.870175 decades?\nAnswer: 98.70175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2659*y + 32 + 2666*y - 5321*y)*(0*y + 0*y + y) in the form n*y**2 + l + c*y and give c.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/7 - 27*s**2\/7 - 10978*s\/7 - 3120.\nAnswer: (s - 120)*(s + 2)*(s + 91)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*d + 2*d + 0*d)*(-4 - 2*d + 3 + 0*d).\nAnswer: -20*d**2 - 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24070, -24073, -24080, -24091, -24106, -24125, -24148?\nAnswer: -24175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -12. Let t(k) be the second derivative of -k**5\/20 - k**4\/6 + k**3\/6 - 5*k**2\/2 - 7*k. Is t(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*r - 696 - 1824. Let d be (-1 - (-4)\/2)*-79. Let i = r - d. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -128 - -39 - -151 - (8 + (-2 - -2))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 66150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 572382128 and 446.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9026.074ug to tonnes.\nAnswer: 0.000000009026074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 501 + -570.4. Let d = s + 34.1. What is d rounded to 0 dps?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 323 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(90\/(-20) - -7).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 - 24 - 7*p + (-1 + 7 - 3)*(2*p - 3*p + 0*p) - 24 - 3*p - 14 - 17 + 80.\nAnswer: -13*p + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-3)\/(-3))\/(63*51\/109242)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15487 divided by 4\nAnswer: 15487\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125364 is divided by 62672.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 960575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3040304l in millilitres?\nAnswer: 304.0304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 2*j + 4*f - 8, 0 = -f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 639025845 to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*x - 1 - 3, 5*x + 4*f + 23 = 0. Let k be (-20)\/(-50) - x\/((-30)\/(-46)). Suppose 4051 = k*b - 484. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 + 32 - 46 - 1 - 4 + 4 + (-4 - 4 + 6)*(-1 + 6 - 3) + 0 - 1 + 2)*(-3 + 1 + 1)*(-2*r**3 + 4 - 4).\nAnswer: 42*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3395023\/2 + -1697511. Find a, given that -62*a - w*a**2 - 1922 = 0.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280277522549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -469, 38 in descending order.\nAnswer: 38, -14, -469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 979.9, -2, 2\/85 in increasing order.\nAnswer: -2, 2\/85, 979.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6 = -l, 3*l = -l + 2*a - 10. Let i be (-1 - l - -1) + 0. Suppose i*q = 5*q + 33. Is -10 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t - t - 8*t + t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*v, -24 = -n + 43*v - 48*v. Let j be (9\/(-15))\/((-6)\/(-4)). What is the nearest to -2\/9 in j, n, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/((-36)\/(-69)))\/(15\/(-15)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, 4, 2, 8, -7, -4 in decreasing order.\nAnswer: 8, 4, 2, -4, -7, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1506 and 3012.\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xohh when four letters picked without replacement from hhosogoohxxsxoo.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -884 - -903. Which is greater: l or -11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83a (base 12) to base 14.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -541810 - -5418101\/10. Let y = 10\/13 - 216\/247. Which is the third smallest value? (a) 22\/9 (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o**4 + o + 17*o**2 - 115*o**3 + 113*o**3 + 2 - 10*o**4 to the form r*o**3 + v*o**2 + a + k*o**4 + n*o and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51317389 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**3 + 5*d**3 + d**3 + (0*d**2 + 0*d**2 + d**2)*(-19*d - 6*d - d) + 2*d**2 - 2*d**2 + 2*d**3 to y*d**2 + p + i*d + n*d**3 and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13089.\nAnswer: 3, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22436.\nAnswer: 2, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-109)\/70 + ((61 - -48)*(-1)\/5 - -23).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16632 divided by -8.\nAnswer: 2079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*r + 1560 = -32*r + 59*r + 22*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*i = -47, -b = -3*b - 2*i + 82. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -862678212567\/4970 - -173577104. Let a = l - -1\/710. Let v(s) = s**3 + 11*s**2 + 18*s. Let o be v(-9). Which is greater: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16851 and 492?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from xlmewtxle.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 3. Let d(c) = 2*c**2 - 30*c + 5. Let s be d(15). Let q(u) = -s*u - 82 - 78 + 161. What is q(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 1 - (500 - 493)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*g - 1 - 1 + 16*g.\nAnswer: -76*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/12 (b) 51325187 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 - -4. Suppose -4*w + 6 = -j. Solve 0 = g - d + 3 - 2, 4*g + 2*d = -w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcwccccw. Give prob of sequence wcw.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 2025*s**2 - 4038*s.\nAnswer: -3*s*(s - 673)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + (-9)\/3 + 401. Let q be (-7600)\/(4 + f\/(-100)). What is q rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 16*g**2 + 16*g + 24. List the prime factors of d(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1693, 1693, 1705, 1735, 1789, 1873, 1993, 2155?\nAnswer: 2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a - 3 + 3*a + 4 + (0 + 2*a + 0)*(-3 - 1 + 1) + (2 - 2 - 2*a)*(54 + 27 - 37) as t + c*a and give c.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-33)\/((-12)\/(-6) - 3). Suppose 4680 = w*u - 46*u. Which is smaller: u or -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 32?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1903 + -18987\/10. Let c = -7609\/582 + -9\/97. What is the common denominator of m and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 64?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*b + 45, b + g = 4*b - 20. Let k(x) = -x**3 - 8*x**2 - 11*x + 6. Let t be k(-6). Solve t = 2*n - b - 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34941194\/274695 - 2\/54939. Let i = 127 + p. Is -47 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/12*(-1 + -2). Let j(f) = 0*f**2 - 18 + f**b + 22. Let v(y) = -y**2 - 3. Determine 3*j(u) + 4*v(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**4 + 2*z**3 - 309845*z**2 + 81464*z + 2083?\nAnswer: 12*z**2 + 12*z - 619690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*z - 22, n + 13 = 4*z - 2*z. Let d(g) = 3*g**3 - g. What is the smallest common multiple of z and d(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkqo when four letters picked without replacement from {q: 1, k: 7, o: 10}?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 629 and 442?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4264 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69.36 + 14.94. Let v = y - 85.3. Which is the third smallest value? (a) v (b) -1\/2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + (sqrt(704) - ((-2*sqrt(704)*4 - sqrt(704)) + sqrt(704)))**2*1.\nAnswer: 57025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2940)*1 + sqrt(300)\/(-1*sqrt(5)))\/(sqrt(144)\/(-1*sqrt(108))))**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(117\/(-104)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 242.9603*-64\nAnswer: -15549.4592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10988, -21221, -31456, -41693, -51932, -62173, -72416?\n\"Answer: -j**2 - 10230*j - 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1044*b*k*n + 4*b*k - b*n - 340*b + 5*k*n - 22*k - 86175 with respect to k.\nAnswer: -1044*b*n + 4*b + 5*n - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + 13248\/(-324) - (-1264)\/(-36).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 4*o + o)*((5 + 3 - 3)*(1 - 1 + o) + (-o - o + 0*o)*(-1 + 0 + 0)).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42.06 + 0.06. Let b = v + 41.9966. Round b to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/15 - (-2 + 9\/5). Let h = -0.3 + 0.4. Let f = h + -0.2. Put f, 2, w in increasing order.\nAnswer: w, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4655511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132561 and 139491?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -183*n - 93*n - 64*n to the form x + v*n and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m + 6. Is 6 a factor of a(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + -1*(1 + sqrt(931)) + 1*sqrt(931)*-2 + -6*(3 + -5 + sqrt(931)*-2))**2.\nAnswer: 1260*sqrt(19) + 75511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1208.553 millilitres?\nAnswer: 1.208553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-84))\/((-24)\/(-96))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221\/318 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -7\/15*q**5 - 10\/3*q**3 - 1\/30*q**6 + 2*q - 11\/6*q**4 + 0 - 29*q**2. Suppose d(k) = 0. Calculate k.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5020563 divided by -1.\nAnswer: 5020563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14001 is divided by 1439.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2792470*d**3 - 1396255*d**3 - 1396217*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*y = 76*y - 730 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 139351 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1748882*p**3*t**3 + 2*t**3 - 5*t**2 + 3316*t - 8 wrt p.\nAnswer: 5246646*p**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 97*s + 3548. What is the remainder when c(-17) is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybhu when four letters picked without replacement from {h: 1, u: 2, b: 1, p: 1, y: 1, l: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44202156, -44202149, -44202142?\nAnswer: -44202135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301 + 300.8. Which is the biggest value? (a) m (b) -5\/102 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 57999, 231923, 521807, 927651, 1449455, 2087219, 2840943?\n\"Answer: 57980*p**2 - 16*p + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4462 and 1358.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1833568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 10\/(-5)) + 0. Solve r + 3*v = 1, r + 0*v + 5*v - 5 = x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/3)*z\/(z*z**(-4\/13))*z**(-6\/7)\/z**(-5\/3) assuming z is positive.\nAnswer: z**(132\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1438980 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 - 30*n**2 - 121*n - 565. Calculate y(-12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35800129 to the power of 1\/3, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 16*o + 34. Let m be x(0). Suppose 5*t - 3*k = -1094, -4*t = -5*k + 780 + 90. Let w = m - t. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57 (base 14) to base 15.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7441\/1457 at least as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 + 3 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/6450 and 83\/516.\nAnswer: 12900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-870)\/50 - (-4)\/10. Find the common denominator of 97\/8 and (n\/(-204))\/((-2)\/(-258)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -26. Let v(c) = c - 3. Let o be v(p). Solve 1 = -o*k + k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-2 + -1 + sqrt(363) + (1 + sqrt(363))*-2 - -1*(-1 + 1 + sqrt(363) + sqrt(363) - sqrt(363))) + -3)*-3)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + h**2 - 1. Let o(d) = 23*d**3 + 2*d**2 - 22*d - 2. Let i(r) = -2*m(r) + o(r). What is the second derivative of i(v) wrt v?\nAnswer: 150*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*v - c + 30, 5*v = -4*c - 55. Let r(b) = -98*b - 16. Let g be r(v). Suppose 7*p + g = 12*p. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 1:53 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-11)\/3 - -3)*9\/(-6). Suppose -3*d + z + 2 = -h, 5*d - 15 = 5*h. Solve d = -4*x - 2*b + b - 14, x = -2*b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 5 + 4)*(6 - 2 - 1) + (-3 + 7 - 1)*(-2 + 7 - 4))*(-5*m + 10*m + 18*m) to z*m + o and give z.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2254)\/(-4830)*4\/14?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-59)\/(-2) - 3\/6?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/((p*p**(6\/7)*p)\/p))))\/((p\/(p**(2\/37)*p))\/p))\/(p**4\/((p*p*(p\/p**(2\/5))\/p)\/p)) assuming p is positive.\nAnswer: p**(-4148\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 23. Let y(c) = -c**4 - c**2 - 1. Let z(h) = -5*h**4 - h**2 + 6. Let a(w) = b*y(w) + z(w). Find the third derivative of a(l) wrt l.\nAnswer: -264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1560)\/(-25) - (-148)\/(-56240)*1292?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 16*m + 13680 = 5*m. What is the greatest common factor of 152 and m?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b22 (base 13) in base 14?\nAnswer: -3138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/2 (b) -5\/8 (c) -0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p**3 + p**2 + 230*p + 101. Determine d(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 29 = -3*k, -2*j + 36 + 12 = -5*k. Let m be (0 + 4)*(-1)\/k. Let o = -50\/203 - -3\/29. What is the biggest value in m, o, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**5\/2 - 477*u**4\/2 + 11865*u**3 - 139944*u**2 - 2173248*u - 3687936 = 0.\nAnswer: -7, -2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 4*i + 60. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**4 - h**4 - h**4)*(4*h - 5*h - 4*h) + h**5 + 0*h**2 + 0*h**2 - 2*h**5 + h**5 - h**5.\nAnswer: -6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 1 + 17. Let v = -4 - t. Let h = 5 - v. Solve -r = -2*r + h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + t + 27, 4*t - 8*t = -5*f - 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27, 1, 33, 63, 85, 93?\n\"Answer: -o**3 + 8*o**2 + 11*o - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - a. Let i(y) = 5*y**2 + 6*y. Calculate -5*i(j) - 30*s(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 + -30.03015\nAnswer: -28.93015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -778.2.\nAnswer: 77.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*t + 151*t + 407 = -113. Sort -0.3, t, 0.2, -319 in increasing order.\nAnswer: -319, t, -0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, r: 1, u: 3, y: 1}. Give prob of picking 1 r and 3 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6272 - 6496*g + 1\/2*g**4 - 58*g**3 + 1794*g**2.\nAnswer: (g - 56)**2*(g - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/7 - 564315*i**2\/7 + 26543542584*i\/7 - 79595079876.\nAnswer: 3*(i - 94042)**2*(i - 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 79, 2\/31?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1465, 2, 1\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1825 = -5*a + 10*a. Suppose 0 = -a*p + 362*p + 531. List the prime factors of p.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**4\/4 + c**3 + 2*c**2 - 3*c - 3. Let p be b(4). What is the tens digit of 15 + (-3 - -1) + p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwuuwwwwwwwwwwuwuu. Give prob of sequence uwu.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(9)\/(sqrt(3) + sqrt(6)\/sqrt(2) - sqrt(3)) + -4)**2 + -5)*-5.\nAnswer: -310 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 4, -105.25, -1\/7, -18?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2600905 divided by -2\nAnswer: -2600905\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 - 7*b + 23. Suppose -2*k = -2*x + 12, -x + 5*x + k - 19 = 0. Let s be z(x). What is the third derivative of 26*i**2 + 63 - 34*i**6 - s wrt i?\nAnswer: -4080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-15) + 8\/20. Let j = 92 - 91.9. Sort v, 2\/7, j.\nAnswer: j, 2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -300 by 100.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2251 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001058325 rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66266.\nAnswer: 2, 17, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3 + 0*w**2 - w**2 - 4364*w**3 - 23*w**4 + 4361*w**3 as a*w**4 + z*w**3 + x + m*w**2 + l*w and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -20*j + 252. What is the remainder when 24 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 3*y**2 + 3*y - 2. Let s be c(-4). Suppose -4*o = s*i + 3*i + 37, -3*i + 35 = -2*o. Suppose f + 15 = 3. Which is smaller: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(128\/80 - 10\/12*2).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76925240.\nAnswer: 2, 5, 7, 257, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 8 - ((3 - -2) + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 10*k**2 + 12*k - 4. Let x be r(-9). Let m be -12 - (0 + 1 - 2). Let i = m - x. What is the least common multiple of 6 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u*u*u*(u\/(u*u\/u**(-7)))\/u*u*u*u*u**(-12)\/u*(u\/(u\/u**(-2\/5)*u*u))\/((u\/(u\/(u*u\/u**(15\/7)*u))*u*u)\/u) assuming u is positive.\nAnswer: u**(-639\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3503 is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 35 = 9*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**2\/2 - 131*q + 17161\/2 = 0.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11342 + 41?\nAnswer: 11403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22, 29, 44, 73, 122, 197, 304?\n\"Answer: y**3 - 2*y**2 + 6*y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -24*i**3 - 14*i**2 - 26*i. Let z(c) = -5*c**3 - 3*c**2 - 5*c. What is -3*f(m) + 14*z(m)?\nAnswer: 2*m**3 + 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**5 - 14*w**4 - 14*w**3 + 5*w**2 - 7*w. Let c(x) = -x**4 - x**3 - x. Let y(i) = 36*c(i) - 4*v(i). Determine s, given that y(s) = 0.\nAnswer: -1, -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i + 37568*i**2 - 36796*i**2 - 4*i as m + w*i + u*i**2 and give u.\nAnswer: 772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5 - 130*y**4\/3 - 11891*y**3\/3 - 60018*y**2 - 86688*y + 35712 = 0. What is y?\nAnswer: -24, -2, 1\/3, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**2 - 346*h - 2816. Determine g(-39).\nAnswer: 1552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -112. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211779.7 millilitres in litres?\nAnswer: 211.7797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 7) to base 10\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3663 is divided by 369?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v + 2 + 6 + 5 + 13 - v. Calculate u(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + sqrt(99)*1)\/sqrt(9) + ((5 + sqrt(11))*-2)**2.\nAnswer: 42*sqrt(11) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56182.99977449 + -56183. Round j to six decimal places.\nAnswer: -0.000226","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + o. Let b(h) = -h**3 + 21*h**2 + 20*h + 48. Let t be b(22). Let x(n) = n**2 + n + 4. Let v be x(-3). Suppose t*m + v = -m. What is u(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/11 - 35\/66. Let q = -0.39 + -0.01. Let g = q - 0.1. Which is the second biggest value? (a) g (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrlaa. What is prob of picking 1 r and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:23 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 144.38518 rounded to 1 decimal place?\nAnswer: 144.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from beqbbbebbebbebbmbeb. What is prob of sequence eq?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a gram in milligrams?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*(-1)\/(-25)*(-167200)\/175560.\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a - 26. Let o be x(-12). Let c(z) = -z**2 - z + 2. Let j be c(o). Solve j*s + 3 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5 - -2 - -7) + (-94)\/(-16) and -65\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 264 + -269. Let d(n) = 3*n + 8. Give d(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 w, and 1 k when four letters picked without replacement from {p: 1, k: 1, m: 2, w: 11, l: 3}.\nAnswer: 11\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.67 + -1.67. Is 1\/47 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 226, -3, -5 in descending order.\nAnswer: 226, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*d**3 - 28*d + 2*d**4 - 2*d**4 + 25*d + d**4 - 1 - 3*d**4 to x*d**4 + t*d**2 + f*d + u + i*d**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -557 + 553 - ((0 - 5) + 0) - 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27122924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/96696 and -73\/10706396.\nAnswer: 192715128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 184 + -733\/4. What is the nearest to -1 in 2, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1362.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8996459\/115 - 78231. Let i = 12\/23 + l. Is i >= -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**4 - 62*t**3 - 81505*t**2 - 16984522*t wrt t?\nAnswer: 24*t**2 - 372*t - 163010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -11, -1 in increasing order.\nAnswer: -11, -8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*((-160)\/24 - -8). Suppose -13*j + t*j = -5*z + 50, -15 = 2*j - z. Let v = -4 - -3. Let p(i) = -i. Let b(f) = f**2 + 2*f + 1. What is j*p(l) + v*b(l)?\nAnswer: -l**2 + 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.929265 - -0.030145. Let q = -1.9 - p. What is q rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v**3 + 10*v**2 - 6*v - 7. Let i(b) = 8*b**3 + 9*b**2 - 5*b - 6. Let y(a) = -6*g(a) + 7*i(a). Give y(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 5:35 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.57 take away 10?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.06, -10, -4, -13?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 75464271 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3.1. What is the nearest to -0.4 in -4\/9, m, -0.1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*1\/(-2) + 0. Suppose a = 20*s - 18*s + 50. Let o be -1*(-3)\/((-15)\/s). Let g(w) = -3*w + 4. What is g(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1370 or -28?\nAnswer: 1370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 11. Let t be g(8). Suppose t*y - 2*y = 0. Suppose -2*a + 20 = 3*a. Solve y = -w - a*w - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -811\/3 + 271. Let s(t) be the first derivative of -3 - 2*t**2 + 0*t - c*t**3. Factor s(v).\nAnswer: -2*v*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 4*s - 2*s + (-47 + 60 + 429 - 104)*(28 - 28 + 116*s).\nAnswer: 39209*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.73 (b) 0.5 (c) 5\/132932\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 6696.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 277286279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + b + b)*(2 - 5 + 4 + (1 + 6 + 1)*(1 + 2 - 5) + 4 + 0 - 8 + (0 + 0 - 1)*(-3 + 0 + 1)) in the form l + s*b and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 4, -16 = 5*z - z - 4*l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-1) - 2)\/(-2). Suppose 3*x + q*x = 15. Suppose -a + 98 - 128 = -11*a. Solve -x*m - 12 - a = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/15 - 2*3\/(-10). Let q be i + 12\/8 + (-3)\/(-2). Solve -4*t + q = -o + 3*o, 0 = 3*t + o - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1903311?\nAnswer: 3, 157, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -14. Suppose -537 = -5*v + s, -2*v + 216 + x = 2*s. Suppose 4*k - v = k. Is k a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 - 4*m**3 - m**2 + 162057 + 3*m**2 + 5*m - 162056 to the form c + b*m**2 + i*m**3 + q*m and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -22*n + 272. Let m(a) = 19*a - 269. Let d(o) = 4*h(o) + 3*m(o). Let q be d(9). Sort 0, q, -5, -2.\nAnswer: -5, -2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56329 is divided by 7039?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/7, -1, 4\/39, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -69, -111, -153, -195, -237?\n\"Answer: -42*o - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 2*t**2 + 0*t**2)*(-29*t + 77*t + 3 - 40*t).\nAnswer: 24*t**3 + 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3707 is divided by 43.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j**2 - 3*j + 1. What is c(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 44041825?\nAnswer: 44041828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 48 = -6*g. Let t = g - 22. Solve -4*s + 4*l - 20 = 0, s = 2*l + t - 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqqtqqqqxqxqa. What is prob of sequence qaa?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2493\/17 > 148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 7:03 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27072 = -15*r + 5*r - 37*r. What is the highest common divisor of 936 and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.96242 and 5.\nAnswer: 7.96242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.19 - -127.19. Let u = 125.51 - l. Let x = 0.11 - u. Which is the smallest value? (a) 1 (b) -7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 615 - 616. What is the nearest to p in 0.3, -0.108, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**5\/40 - o**4 + 7*o**3 + 196*o**2 - o - 1. Find u, given that d(u) = 0.\nAnswer: -4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1154*q = 1249*q + 1200*q - 82869 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/12 and ((-498)\/12)\/(12\/4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44 + 2774153?\nAnswer: 2774217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54.4 - -22.2. Let x = -36 - o. What is x rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -52*d**2 + 1. Let f(s) = 4*s**2 + 2. Calculate g(f(q)).\nAnswer: -832*q**4 - 832*q**2 - 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2 + 7*i + 6. Let z(q) be the first derivative of -q**3\/3 - q**2\/2 - q + 153. Let c(s) = s**2 + 4*s + 6. Let a be c(-4). Determine a*z(w) + l(w).\nAnswer: -2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 15*s**2 + 37*s**2 + 2*s.\nAnswer: 22*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxwfswxrm. Give prob of sequence rm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**3 + 10539 + 11*g**3 + 40*g**3 - 10539.\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -44 (b) 0 (c) 2\/47 (d) 2\/11 (e) 0.6 (f) -2\/519\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -10 - (17 - 18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62*q**2*v**2 + 16*q**2*v + 13*q**2 - 5*v**2 wrt v?\nAnswer: 124*q**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*r + 170*r + 10092911 = 41200603. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hoiozee. Give prob of sequence hee.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 77*o**3\/3 - o**2\/2 + o - 4. Is q(1) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7922 + -7922. Which is smaller: n or 6\/2251?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 2. Suppose t - 2*t + 4 = 0. Find the second derivative of -i*v - v**4 - 5*v**4 + t*v**4 wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxzzy. What is prob of sequence zy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/7, -0.1, 5, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 1:03 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6*v + 2 = -2*a, -4*a + 12 = 0. Let b(r) = -2 - r**2 - v*r + 2*r**2 + r. Let i = 11 - 8. What is b(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1621? (a) 0.2 (b) 918 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 786 in 156, 0.3, 0?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 9*d**2 + 3*d - 5. Let z(j) = -j**2 - 10*j - 2. Let l be z(-9). Let o be t(l). Let v be 14\/84 - o\/12. Solve -v*s + 2*s = -25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(209)*-3)\/(sqrt(11) + 3*sqrt(176)).\nAnswer: -15*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4764.43749 to the nearest ten.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - 2*c**2 + 5*c**2)*(6*c - 3*c + c)*(-2*c + 0 + 2 - 1).\nAnswer: -8*c**4 + 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-42) + (-140)\/245)\/(4\/1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26, -39, -56, -77, -102?\n\"Answer: -2*g**2 - 7*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.566 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4, 3*d + n + n - 2378 = 0. Let k = -556 + d. List the prime factors of k.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -118699, 5, 183, -5 in decreasing order.\nAnswer: 183, 5, -5, -118699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**5\/20 + b**4\/12 - b**2\/2 - b. Let v be g(-1). Solve -o - i = 4*i - v, -4*i = -o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1718679027?\nAnswer: 3, 13, 59, 733, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1, 2, -2\/155, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgyyvvavvmavvv. What is prob of sequence aam?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17.3450128535 and 0.4?\nAnswer: 17.7450128535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -400*d**2 - 495*d**2 + 329*d**2 - 1021*d**2 + 1300*d wrt d.\nAnswer: -3174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2, -2*i + 3*s + 6 = 3. Which is the closest to -0.1? (a) i (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-4)*(-16)\/(-3). Let t be 8*(7\/x)\/((-10)\/30). Put 0.5, 3\/4, t in descending order.\nAnswer: 3\/4, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1166*a*y**3 - a*y + 2*a - 17 wrt y.\nAnswer: -3498*a*y**2 - a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41633?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4202898 is divided by 3716?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8413, -30 in descending order.\nAnswer: 8413, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 843394681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (33*a + 20*a - 5*a)*(0 + 1 - 5) in the form o + p*a and give p.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 23*l - 6 = 27*l, 4*a - 2*l - 6 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*a)*(308 + 98 - 596)*(-3 - 4 + 2).\nAnswer: 2850*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = -0*o. Let x = o + 1. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6102\/17 or -358?\nAnswer: -6102\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 718411.1 days to hours.\nAnswer: 17241866.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2522287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 114 - 3\/8*y**3 + 27*y**2 + 225\/2*y.\nAnswer: -3*(y - 76)*(y + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 232435 and 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379 + 3*w - 379.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x = 10*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 348 and 2336298.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19113, -38211, -57251, -76209, -95061?\n\"Answer: 4*d**3 + 5*d**2 - 19141*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, j: 4, c: 3}. Give prob of picking 1 c and 2 j.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 28560 + 113084 = 0. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (0 - -2))\/(-29 + 25)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 3. Let i be 20*(51\/15 - 3). Suppose -a + i = -0*x + 3*x, -x - a + 4 = 0. Calculate the least common multiple of c(-4) and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2523 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1072919661?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*((r\/(r\/(r\/(r\/(r**(-1\/2)\/r)))))\/r)\/r)**(-2\/17)*(r**(4\/7)\/r)\/(r\/r**(-1\/6)) assuming r is positive.\nAnswer: r**(-929\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1612 is divided by 151?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2*g = 7*q + 31, -q = 4*g + 17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 15) in base 3?\nAnswer: -10222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 7*q**2 - 2*q - 6. Let y be x(6). Suppose -z = 4 - y. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 0.2 (c) -0.4 (d) 7 (e) -2 (f) 12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 133 = u. Let n be u\/(-28) + (-3)\/7. Suppose -8*g**5 + 10*g**n - 14*g**3 + 2*g**2 + 14*g**4 - 4*g**2 = 0. Calculate g.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5277*u + 72406 = -3511*u for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**4 + 50*q**3 - 115*q**2 + 60*q = 0.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4559 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: Let z(h) = 15*h**3 - 13*h**2 + 17*h - 243. Let p(x) = 8*x**3 - 6*x**2 + 8*x - 121. Let a(d) = -13*p(d) + 6*z(d). What is the derivative of a(k) wrt k?\nAnswer: -42*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.63461 and 324.\nAnswer: -205.61364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 267043644, 267043643, 267043642?\n\"Answer: -z + 267043645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzgg when four letters picked without replacement from {g: 3, z: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -690*h**3*j + 10*h**3 - 32*h**2*j + 5*h*j - 10 wrt h?\nAnswer: -4140*j + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 - 1. Let g = t - -0.5. Let o = 0.2 - -0.1. What is the smallest value in o, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 20029334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.74829ng in milligrams?\nAnswer: 0.00009374829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 414*s**2 - 8*s + 43. Let a be c(4). Suppose -5*i = -5*l - a, 0 = i - 0*i - 4*l - 1333. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1201321 is divided by 178.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-11) + 114\/22. Solve -a + 2 + 1 = -4*i, -i + h*a + 23 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*z**3\/11 - 531624*z**2\/11 = 0. What is z?\nAnswer: 0, 88604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*-1.9.\nAnswer: -68.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/40 - (-98)\/(-5). Let j = 649 - 653. Put j, 3, t in descending order.\nAnswer: 3, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*m - z, 0 = 4*m - 0*z + 2*z - 10. Let r = 3 - -2. Let b = r - m. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1483*f - 47303. What is y(32)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -8\/9*t**3 + 1\/6*t**4 + 22 - 4\/3*t + 5\/3*t**2. Solve u(s) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7381.2 to the nearest one hundred.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3 + 6174*r**2 + 2328606*r - 21460464 = 0. What is r?\nAnswer: -1713\/2, -696, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*o**6 - 3*o**4 - 183*o**2 wrt o.\nAnswer: -4920*o**3 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*g - 77275 = -101*g + 23355. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 6:56 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2, 0 = r - 5*v - 2 - 14. Let n(h) = -h**2 + 21*h - 94. Let u be n(14). Let z(w) = 6*w + 5 - 1 + 3 - w**2 - u. Calculate z(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4 = -2*g, -4*m - m - g = 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32269 is divided by 6162?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40757.19 meters to nanometers.\nAnswer: 40757190000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 13 + (-21 - (-12 + 23))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12392 = -379*a + 1631 for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -41*q**3 - 13*q**2 - 23. Let b(l) = 10*l**3 + 3*l**2 + 6. Let p(z) = -26*b(z) - 6*i(z). What is the derivative of p(d) wrt d?\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120585, 120583, 120581?\nAnswer: 120579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k - 4*v + 9 = -26*k, 3*k + 12 = 7*v. Find m, given that 48\/7*m - 52\/7*m**2 - 16\/7 - 4\/7*m**4 + 24\/7*m**k = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, o: 5, d: 8, q: 4}. Give prob of picking 1 q and 1 d.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/5 (b) 105321 (c) 3 (d) 0.3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**5)**(12\/11))**36 assuming l is positive.\nAnswer: l**(2592\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*w. Suppose 5*k = 3*k. Let o be (-4)\/6*(-15 - k). Solve w = y + y - o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**10\/1008 + u**6\/40 + u**3 - 10. Let a(r) be the third derivative of p(r). Find the third derivative of a(f) wrt f.\nAnswer: 600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 14*r - 63. Let m = 30 + -29.9. What is the nearest to 0.3 in r, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -149? (a) -3\/5 (b) 1\/2 (c) 0.04 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**3 + 3*k**2 + 3*k - 4. Let p(m) = -m**2 + 1. Calculate -4*p(n) - y(n).\nAnswer: -5*n**3 + n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*t - 31*t = -47 - 238 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 1000*x - 41595.\nAnswer: -5*(x + 59)*(x + 141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009152 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (1 + 0)) + 69. Is r\/3*8 - -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 3. What is v(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 9. Solve 12*t + u = 9*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1872) + -1)**2.\nAnswer: -24*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13711.368 + 13759. Let j = 0.032 - n. Let u = 48 + j. What is the second smallest value in 0, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from {n: 2, a: 4, t: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 + 97.03. Which is the nearest to s? (a) -0.2 (b) -2\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 166, 170, 174, 178?\n\"Answer: 4*w + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -7)*(-1)\/2. Suppose -o*d + 108 = -345. Suppose -100 - d = -w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 9*w - 13. Let b be x(4). Suppose b = 3*r - 32. Suppose 0 = -18*o + r*o + 40. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -3. Let m = 86 + -88. Let v(j) = -2*j**3 + 5*j**2 + 13*j + 2. Calculate the least common multiple of n and v(m).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -28*m**2 + 2293*m - 423. Determine h(82).\nAnswer: -669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*b + 5*h + 130, 15*h - 22*h - 38 = -2*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 1 - 1 + (383*d + 164*d + 95*d)*(3 + 0 - 2) to the form u + a*d and give a.\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16012486 to the power of 1\/2, to the nearest integer?\nAnswer: 4002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*a + 3*i - 116, -146 = -5*a - 4*i. Suppose 4*k - 14 = a. Suppose 3*r = -6, -r = l + 2 - 4. Solve -l*t = -t - h + k, 3*h + 17 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -585, -2335, -5247, -9321, -14557, -20955, -28515?\n\"Answer: -581*c**2 - 7*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -419024\/125 or -3353?\nAnswer: -3353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 82 + 74 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*b**6*g - 2*b**6 - 930*b**2*g wrt b?\nAnswer: 12360*b**3*g - 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6814 and 656276782?\nAnswer: 6814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(3\/12*-8))\/(-8).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -557153751 divided by 79593393?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -832 + 5825\/7. Factor 2\/7*u + 0 - b*u**2.\nAnswer: -u*(u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 267 and 120684.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1*sqrt(117)*5 - sqrt(117)) + sqrt(117))\/(sqrt(9) - sqrt(18)\/sqrt(2)*5) + (sqrt(104) + -6*sqrt(104)*1)\/((-2*sqrt(72))\/sqrt(9)) + -3.\nAnswer: -5*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 53*z + 2 = 52*z, 2*g + 4*z = 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 - 2*i + 9. Let m(k) = 2*k**2 + k - 4. Calculate 11*m(q) + 6*x(q).\nAnswer: 4*q**2 - q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11942622 by -6.\nAnswer: -1990437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a + 1. Suppose 0 = -8*g + 39 - 31. Let b(f) = 125*f + 102. Let k(p) = g*b(p) + m(p). Differentiate k(o) with respect to o.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*6\/27 + (-68)\/(-3). Suppose -5*p + 0*k + 4*k = -34, -3*p + 2*k + v = 0. Solve -7*q = -p*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 + 3*u. Let h(d) = -3*d**2 + 2*d. Calculate -4*b(v) + 6*h(v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*u = -44*u + 16, 0 = 4*o - 5*u - 56. Solve 8*y + 36 + o = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -55*u**2 + 483*u - 230*u - 5*u**4 - 5*u**5 - 233*u + 45*u**3 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10348*f**2*w + 5*f*w**2 + 4*f*z + w**2*z - 2*w**2 + 111131*w*z - z + 16 wrt f.\nAnswer: 20696*f*w + 5*w**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and (-270)\/(-36)*(-4)\/(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 560336330 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**5\/5 + 158*z**4\/5 + 2562*z**3\/5 + 2068*z**2\/5 - 4784*z\/5 = 0 for z.\nAnswer: -23\/2, -2, 0, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 + 1251593.\nAnswer: 1251593.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2584)\/(-266)*(-147)\/42\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0578 plus -18426020?\nAnswer: -18426019.9422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -439 plus 179.4?\nAnswer: -259.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61603 is divided by 378?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Let y be (p\/(-3))\/(1\/(-9)). Let r(x) = -9*x**2 + 9*x**2 + x + x**2 - y*x**2. Give r(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uufuuyffefufuuuf. Give prob of sequence uff.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.41 - 10.41. Let r = 95 + -289\/3. Which is the nearest to k? (a) -0.1 (b) r (c) -1\/6 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -10 + 4 - -15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnnnx. What is prob of picking 1 n and 1 x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6619, 10903, 15187, 19471, 23755, 28039?\n\"Answer: 4284*q + 2335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 178053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1 + (sqrt(125)*4)**2 - ((0 + sqrt(125))**2 + -5)) + 5).\nAnswer: 1886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2373127538 from 4.896.\nAnswer: -2373127533.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(8*f**2 + f**3 - 2*f + 4*f - 11*f**2).\nAnswer: 2*f**3 - 6*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 3:42 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -14658\nAnswer: 1\/4886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3523 + 0.3520647. What is q rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 52*v**4 + 555*v**3 + 3416*v**2 - 3920*v.\nAnswer: v*(v - 28)**2*(v - 1)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 114694740 rounded to the nearest 100000?\nAnswer: 114700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -5*q**5\/2 - 15*q**2\/2 + q. What is the first derivative of r(n) wrt n?\nAnswer: -150*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 15. Let b = -5529 - -5517. Which is smaller: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*u**2\/7 - 10*u + 36\/7.\nAnswer: -2*(u + 2)*(22*u - 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2815 = -3*s, w - 1809 = -4*s + 999. Calculate the highest common divisor of 76 and w.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.79562l?\nAnswer: 5795.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4 - 8 + 5 - 2. Let o(t) = -7*t - 5. Give -o(a) + 4*u(a).\nAnswer: 7*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1840 - -1854. Solve -4*p + 2*d = 20, 3*p - 3*d + o = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**5\/30 - 13*l**2. Let g(h) be the second derivative of -3*h**4\/4 - h. Give d(g(m)).\nAnswer: -162*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -74. Let k = -58 + i. What is the common denominator of (-2 - (-34)\/16)*(-312)\/k and 31\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -52310*p - 1830839. What is j(-35)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -8. Let i = q - -49. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 2*t + 3. Let a be f(6). Let d = 65 + a. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qfaqvnqqavqqqqfvvqqv. What is prob of sequence afqq?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.171167 to one dp.\nAnswer: 81.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 2*t + 66, 22 = 4*m + 3*t - 110. Calculate the remainder when 359 is divided by m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95358709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2 + 6 + 20*o**2 - 6 - 18*o**2 - 4*o = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 greater than or equal to -3764.439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - l + 810. Let m be l\/3*6\/4. What is the highest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 11. Let s be p(14). Find the common denominator of s*39\/54 - 2 and (1043\/49)\/((-12)\/(-7)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59169\/(-489)*(-3)\/1 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwo when three letters picked without replacement from {w: 6, c: 1, l: 2, k: 2, o: 4, u: 2}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 331691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -378, -1348, -2898, -5022, -7714, -10968?\n\"Answer: i**3 - 296*i**2 - 89*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oucccaoocauouccocoo. Give prob of picking 3 c and 1 u.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**1)**11\/(l**(-1\/3)\/l)**(-1\/11)*((l**(-2\/3))**(1\/27))**(12\/5) assuming l is positive.\nAnswer: l**(32402\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 790890539?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604 a factor of 246561993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -219 - 19*m + 219 + (-4 + 2*m + 4)*(-3 + 1 + 1) + 2*m - 4*m + 3*m + (-1 + 4 - 1)*(2*m + 1 - 1) - 2*m - 2 + 2 to the form z*m + k and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 975*p**2 - 38160*p + 423360.\nAnswer: -5*(p - 147)*(p - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 593521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6042397kg in nanograms?\nAnswer: 604239700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/5 in -3\/4, 35.5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a factor of 1299044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 4605176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 38*j**7\/105 - 41*j**6\/15 + 377*j**5\/50 - 131*j**4\/15 + 44*j**3\/15 + 8*j**2\/5 + 2*j - 33. What is a in u(a) = 0?\nAnswer: -2\/19, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2006?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 2)*(-3)\/(-1). Let m be 4\/6 - 1\/x. Suppose -4*f - 3*h + 5*h - 20 = 0, -h - 25 = 5*f. Which is the nearest to 2\/7? (a) -0.4 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 p when three letters picked without replacement from lylylllplyyyylyllyly?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/99 + 289\/198. Let n = 0.07 + -5.07. Sort x, -2, n in descending order.\nAnswer: x, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(8\/5)\/((d**(6\/5)\/d)\/d*d)*(d\/((d*d**(-3)\/d)\/d))\/d**(-1\/6) assuming d is positive.\nAnswer: d**(197\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6589069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 5*s + 1. What is the remainder when b(-6) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -213983 greater than or equal to -214037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-4*m**5 - 12*m**5 + 13*m**5) + 10 - 12663*m**4 - 15*m**5 + 12663*m**4.\nAnswer: -9*m**5 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 47088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 33929 = 6339. What is the highest common factor of 62 and c?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*y - 5*y. Let g = -672 + 690. What is the second derivative of -g*l - y*l + l + 22*l**4 - 11*l wrt l?\nAnswer: 264*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2137 + 2293. Which is bigger: 140 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 25.8. Let s be (4\/6)\/((-2)\/(-3)). What is the nearest to -1\/4 in s, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 4. Is 5 a factor of 1 - (t + -2 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2, -4, 54, 2\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = q, -5*q - 19*g - 22 = -16*g. Let n be (-10)\/q - 2 - (-6)\/(-96). What is the second smallest value in 3\/4, -1\/2, n, 1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 47195, -29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) 7 (c) 29 (d) -17.7 (e) 0 (f) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 38113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29549916.\nAnswer: 2, 3, 11, 71, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 123198 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3256*o + 15205 - 29501 = -1295*o + 62183 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 13. Suppose 4*o - 2*m - 144 = 0, -2*m + 108 = 3*o - c*m. Calculate the greatest common divisor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99869 + 130360. Suppose 0 = -5*m + 1430229 - z. What is m rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5420 is divided by 456?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69*r - 8*r - 6*r)*(6*r**2 + 0*r**2 - 4*r**2) to x + k*r**2 + p*r**3 + f*r and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 0*f + 0*f**2 + 2*f**3 - 1 - 27\/5*f**5 + 21\/4*f**4. What is h in j(h) = 0?\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 3*i = 0, -5*y + 12 = -4*i - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 193881638583 + -193881636084.00003059. Let t = a - 2499. What is t rounded to 6 dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7536738 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 10:27 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d**4 + 7*d**4 - 5*d**4)*((1 - 10 + 2)*(2 + 1 - 1) + 0 + 2 - 3) to the form b*d + t*d**3 + s + h*d**2 + p*d**4 and give p.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 937 - -12 - (-3 + -2). Let f = j - 909. What is the highest common factor of 225 and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 98 + 67. What is the common denominator of m and -17\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**2 + 17*t - 20. Let d be 28\/(-6)*9\/(-6). What are the prime factors of u(d)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 246438108816866.\nAnswer: 246438108816866.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*(d*d*d**15\/d)\/d)\/d))**32*(((d\/((d\/d**(2\/15))\/d))\/d*d*d)\/d*d)**(6\/7) assuming d is positive.\nAnswer: d**(-15616\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (15\/(-30))\/(11\/47) and -119\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 528 + -527.9. What is the second biggest value in c, 2\/5, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 1578, 5273, 12460, 24303, 41966, 66613, 99408?\nAnswer: 141515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/(-42)*7\/(-2). Solve u*p + 20 = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 36. Let z be 72\/c + 2\/(-11). Solve z + 2 = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**8\/240 + d**4\/8 + 7*d**3\/3 + 3. Let s(k) be the third derivative of m(k). Differentiate s(o) with respect to o.\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 9*b - 6. Suppose 78 = 9*t - 3. Give u(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 1:53 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 1 = 5*q + 5, 5*w = -2*q + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51459 or -51486?\nAnswer: -51486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dck when three letters picked without replacement from {c: 4, t: 1, f: 2, p: 4, k: 4, d: 4}.\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/243*((-8)\/10 + 70\/(-100)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 66 - 198 = 0. Let g = h + -7. Suppose -g = -m + 4*w, 4*m - 3*w + 38 = 310. List the prime factors of m.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 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: What comes next: 1124224, 2248086, 3371948, 4495810?\nAnswer: 5619672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.2 (b) 2\/9 (c) 131 (d) 98\/45 (e) 4 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223 - -21412?\nAnswer: 21134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17504 or -70017\/4?\nAnswer: -17504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -520*d + 10 + 153*d - 282*d - 11.\nAnswer: -649*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/2)\/((-10)\/(-20)). Suppose 491 = s*j + 98. What is the remainder when j is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -171\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 11:24 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 2 - 3) + 5 + -4. Let h(t) = 528*t**3 - t**2 + 2*t - 2. Does 55 divide h(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1424.56*0.25\nAnswer: 356.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/(-256)*4 + (-11 - (-762)\/24)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2280 and 4560?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.19 times -307?\nAnswer: -38740.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + (sqrt(243) + (sqrt(243) - 1*(sqrt(243)*2 - sqrt(243))) + sqrt(243) + -1 - (sqrt(243)*1*1 - 5*(0 + sqrt(243) - sqrt(243)))))**2*-4.\nAnswer: -972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2464\/(-42))\/11*(-3)\/(-2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + (sqrt(539) - 2*sqrt(539)*4) + -3 + 0 + sqrt(11) + sqrt(22)\/(sqrt(6)\/sqrt(3)))**2 + -1.\nAnswer: -48601 - 188*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 122665*j**3 - 2*j**2 + 3*j + 8. Let n be z(-4). Let t = n - -3850596. Round t to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*p**3\/5 + 22881*p**2 - 155807352*p\/5 - 22260528\/5.\nAnswer: -3*(p - 2724)**2*(7*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/9 (b) -2\/1113 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 9 = 5*a. Let y = 2 + a. Let i(w) = w**3 + 3*w**2 - 1. Is i(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 3*b + 18, 3 = -2*b - 1. What is the third derivative of -y*s**2 + 0*s**2 - 27*s**3 + 22*s**3 wrt s?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((417\/(-81) - -5)*(-27)\/9)\/2. Let m = 0 + -0.2. Which is the biggest value? (a) m (b) r (c) -0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55\/2 + 27. Let n = 0.4 - -3.6. Sort 0.1, y, n in descending order.\nAnswer: n, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*z - 8*z - 14, 6*z + 26 - 9 = 4*s - 17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.018? (a) 3\/10 (b) -4 (c) 2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14482713 to the power of 1\/2, to the nearest integer?\nAnswer: 3806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/5, -6, -0.5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -137*j + 1789. Give g(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -464*c**2 + 27381*c - 293. What is d(59)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/6 + 6\/18. Suppose 0 = -k - 5*r - 4 + 5, 11 = -o*k + 3*r. Which is the biggest value? (a) 1 (b) k (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54929)\/(-735))\/(-19) - 1\/15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14140364, 14140366, 14140368, 14140370, 14140372, 14140374?\n\"Answer: 2*h + 14140362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4373, -7, -1777, 1 in descending order.\nAnswer: 4373, 3, 1, -7, -1777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 0 + 1 - 2 + 0 - 4*t. Let c be g(-2). Is 7 a factor of 6 - c - -3*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11\/(-2))\/((-4)\/8). Let u(b) = 2*b + h - 4 - b. Let p be u(0). Solve 3*r = p*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 1\/2*p - 1\/6*p**3 + 0*p**2 - 6. Factor a(r).\nAnswer: -(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j + 19 - 451 = 0 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1486 is divided by 595?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.544 plus -211461?\nAnswer: -211460.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-11)*t*t\/t**(-36)*t*t*(t*t*t**(-18)*t)\/t*t*t*t**(-23)*t*t assuming t is positive.\nAnswer: t**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62\/419 + 2763\/83800. Let f = q + 6\/25. Let c = -2 - -2.1. Put c, f, 0.5 in decreasing order.\nAnswer: 0.5, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 268 - 158. Suppose k = -0*g + 5*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -6 + (2 - 2) + 4 + -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**6\/120 + z**5\/30 + z**4\/4 - 2*z**3\/3 - 2*z**2. Give l(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (382\/1528)\/((-2)\/24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u = -78*u + 46. Sort -5, -2, u in decreasing order.\nAnswer: u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 95*j**2 - 2051*j + 10286. Calculate v(8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*39\/975)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32231352.\nAnswer: 2, 3, 1342973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*d**3 + 342*d**3 - 715*d**3 - 2*d**2.\nAnswer: -19*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 10*r + 11. Let p be x(-9). Let u be (-2)\/p + 162\/2. What is the highest common factor of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(704) + -2)*3 - sqrt(704)) + -2)**2*5*-3 + -4.\nAnswer: -172804 + 15360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*o - 1 + 28. Let k(u) = 171*u**2 - 7*u + 9. What is the tens digit of k(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.87 - 0.13. Let s = 0.128 - -0.172. Which is the nearest to 0.1? (a) v (b) s (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -11*f - 180. Let s be o(-38). Suppose -s = -6*z - 118. Solve -7*i = -2*i + z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -145 + 149. Put f, -0.2, 0, -2 in decreasing order.\nAnswer: f, 0, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -239?\nAnswer: 28\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4*x - 6)*(0*x + 3*x - 4*x)*(0*x - 4*x + 8*x).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/260 and -63\/1144.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1846, 3694, 5542, 7390?\n\"Answer: 1848*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-356)\/445)\/(1*(-4)\/(-50)). What are the prime factors of 518 + -1 + (i - -6)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 5. Let n = 10 - 10. Let p = 0.275 + 0.225. Which is the nearest to n? (a) -2 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.6 - 6.6. Let h = -162 + 161.883. Let k = h + 0.317. Which is the nearest to -1\/4? (a) k (b) m (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/24295 and 9\/1720.\nAnswer: 194360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**2 - 5*r**2 - 2*r**2 + (-2*r**2 - 2*r + 2*r)*(0 + 2 - 5)*(-1 + 1 + 2).\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3. Let t be 2\/(-10) - (-28)\/(-10). Let r(k) = -2*k - 8. Let u(n) = -5*n - 17. Let y(p) = t*u(p) + 7*r(p). Determine 5*b(l) + 3*y(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t + 5 - t**2 + 0*t + 0 - t**2. Let u be o(-5). Let k = -10 - u. Solve 17 = k*b + i, 2*b + b - 15 = i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-64)\/20*(4 - -6). Let l be b + 2 + 0 + 2. Is (l\/(-6))\/((-4)\/(-114)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -202 - -6?\nAnswer: -1eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8344808.\nAnswer: 2, 29, 35969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 13, 52, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j + 13*j - 10. Solve 0*y + j*y - 10 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4469*b + 4516*b = 698 + 1887 for b.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**4\/18 - 16*s**3\/27 - 7*s**2\/3 - 4*s - 21. Factor q(m).\nAnswer: -2*(m + 2)*(m + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3 (b) 2\/9 (c) -8773 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbjggfs. What is prob of sequence jrbg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(28) + 5 - ((sqrt(7)*1 + 1)**2 - (sqrt(14)\/(sqrt(2) - -2*sqrt(2)))**2).\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3165 + -3170. Which is the nearest to j? (a) -15\/8 (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2367 divided by -44?\nAnswer: 2367\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/5104 and 43\/16.\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 5:39 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 - 6*x**2 - 9*x - 21. Let s be q(-4). Which is bigger: 48 or s?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39412 and 2102642?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11298)\/(-8) + (-2)\/8. Suppose 0*c + 335 = c - 5*p, 0 = 4*c - 2*p - i. Suppose 4*f - 2031 = -c. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 + s**5 + 4*s**5 + (-2*s**4 + 3*s**4 + s**4)*(119*s - 268*s - 514*s).\nAnswer: -1323*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*g + 4, 3*g = z - 32. Let r = 73 - z. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*p + 4, -4*p + 28 = -3*m - 3*p. Let b(k) be the second derivative of -k**5\/20 - 2*k**4\/3 - k**3\/2 + 4*k**2 + k. Is 16 a factor of b(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(sqrt(10)*-1)*3*-2)\/((sqrt(96) - -4*sqrt(96)*1) + 6*((sqrt(96)*-1 + sqrt(96) - sqrt(96)) + sqrt(96))).\nAnswer: 3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 48 = -8*y. Let n be (-25)\/y - 2*(-2)\/8. Factor -2*a**n - 1\/5*a - 2\/5 - 2\/5*a**4 + 3\/5*a**5 + 12\/5*a**2.\nAnswer: (a - 1)**3*(a + 2)*(3*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 w, 1 g, and 1 x when four letters picked without replacement from {g: 4, t: 2, w: 7, j: 1, x: 3, o: 1}?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/20)\/(2\/(-10)). Suppose -r + 8 = g*r. What is the second derivative of 0*h - r*h**4 - 2*h + 0*h wrt h?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2289456912 to the nearest integer?\nAnswer: 47848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-24))\/((-370)\/(-80) - 11)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2\/11, -1.8, -8, 4.48?\nAnswer: 4.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 265 (base 11) to base 15\nAnswer: 15d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10101100?\nAnswer: 10100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 4631157468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 0*z - 2*z)*(-356*z - 178*z - 195*z - 2) to the form k + l*z + c*z**2 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -138, -481, -1042, -1827, -2842?\n\"Answer: -r**3 - 103*r**2 - 27*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -509, -2\/3, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 17.9 * -44.1\nAnswer: -789.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*l**3 - 25 + l + 61 - 36.\nAnswer: 164*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -31*c - 320. Suppose 24*m = 21*m - 33. Let w be o(m). Let r = 3 - 2. Solve w = -4*i + r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2 + f - 3*f + 0 + 2*f**2 - 19*f**3 + 20*f**3. Calculate d(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -2 - -8) + -6. Sort j, -2\/7, 9 in descending order.\nAnswer: 9, j, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54420342641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-9 + (-1)\/((-80)\/1530))\/(-3)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1608016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - k - 8, -3*k = -t - 2*k. Suppose -t*p - 1074 = -3*f, -3*f = -7*f - p + 1432. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*x - 2178, 13*x - 17*x = -4*f + 1736. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -463124386+-7930\nAnswer: -463132316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (24 - 52) + -72 + 1 + -17.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1002300 and 2546700?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23207614873 - 16314?\nAnswer: 23207598559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*p**2 - 64*p**2 - 46*p**2 + 56*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10630695*w + 11381863 wrt w?\nAnswer: 10630695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 31.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123445001454 - 4?\nAnswer: -123445001502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7537570, 30150297, 67838182, 120601225, 188439426?\n\"Answer: 7537579*r**2 - 10*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, a: 2, i: 8, c: 2}. Give prob of sequence ia.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.999 - -2.909. Let q = 3 - 2.9. Let i = q - 0.1. Sort j, -0.5, i in decreasing order.\nAnswer: i, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1827\/(-210) - (-6)\/(-20))*-18*10\/(-420).\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*g - 47*g + 10*g + 10*g - 476*g**3.\nAnswer: -476*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39.95007 + -0.13193. Let n = 40 + b. Round n to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*o**3 + 9*d**3 - 36*d**2*o**3 + 6187*d*o**3 wrt d?\nAnswer: 6*d*o**3 + 54*d - 72*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11342565*b**3 - 2656805*b - 3?\nAnswer: -68055390*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -19, 2 in decreasing order.\nAnswer: 4, 3, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 302414 to the power of 1\/2, to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**3\/6 + 2*n**2 - n. Let m(f) = -958*f**2 + 254*f**2 + 706*f**2. Calculate d(m(c)).\nAnswer: 2*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -577.949862 to zero dps.\nAnswer: -578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*j - 16. Suppose -5*p + 2 = -j*p. Solve l - 7 = 5*u, -p + 9 = -l - 2*u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*d + 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d - 41*d + 11 - 37*d + 105*d + 4.\nAnswer: 4*d + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -5, 5, 4, -4, 6, -42 in descending order.\nAnswer: 20, 6, 5, 4, -4, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 452923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 5. Let v(b) = 1. Let z(n) = n**2 + 7*n + 8. Let h be z(-7). Suppose -2 = -5*f + h. Let x be (-1)\/f + 3\/2. Calculate x*m(a) + 5*v(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 17. Let q be -1 + 0\/(w\/4). Is (181 + 4)\/(0 - q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 36379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -691*o**8\/28 - 1405*o**4\/12 - 62*o - 30. What is the third derivative of m(s) wrt s?\nAnswer: -165840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 482136 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-32) - (80\/8 + 26)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + -1 + -11)*2\/(-2). Suppose y*o = 360 - 45. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 249.88 + 18.32. Let s = 269 - p. Let g = 64 - 125\/2. What is the second biggest value in s, 2\/3, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 507*j**2. Let m(a) = 23*a - 4. What is v(m(t))?\nAnswer: 268203*t**2 - 93288*t + 8112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from jzzzjiizzjzziiwjzziz.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*27.99.\nAnswer: -27.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 2*v**2 + 3*v**2)*(-4*v - 6*v + 2*v).\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - m + 56. Let h be z(7). Let i = -517\/7 + 74. Which is the closest to h? (a) -3 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3660*n**3 + 302*n**3 + 3 - 164*n**3 - 2 + 1.\nAnswer: 3798*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6397033 rounded to two dps?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.3 - -2.3. Which is the third biggest value? (a) -0.3 (b) -2\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*r + 3*r = 36, -5*a + r + 74 = 0. Calculate the remainder when 41 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*i - 34*i + 2*k - 18, i + 3 = 5*k for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 919659740 rounded to the nearest one million?\nAnswer: 920000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1867709 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppm when three letters picked without replacement from mmmmmmmmpmmpm?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, j: 9, u: 2}. What is prob of picking 1 j and 3 c?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.46 * 0.208.\nAnswer: 2.38368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522593.\nAnswer: 47, 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10536*2692.\nAnswer: 28362912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3226183 (base 10) to base 8.\nAnswer: -14235107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -19. Which is the smallest value? (a) x (b) 1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 12*t - 15. Calculate y(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**2 - 2 + 2)*(1 + 0 + 1)*(-30236*h + 15156*h + 15147*h - 6) as t*h**2 + z + o*h + w*h**3 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0616, -21835, 5 in descending order.\nAnswer: 5, -0.0616, -21835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.29 + -0.01. Let s = 125 + -83. Let g = s - 43. Which is the closest to -1\/4? (a) g (b) -2\/11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4030, 3855, 3330, 2281, 534, -2085?\nAnswer: -5750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 2070*w**2 + 212160*w - 432640.\nAnswer: 5*(w - 2)*(w + 208)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 703080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20955 divided by -1905.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - t - 218, 8 + 7 = -5*t. Calculate the remainder when g is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/5 - 135*j - 7956\/5.\nAnswer: -(j + 12)*(j + 663)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 26\/(-2) - (6 + -12). Suppose 4*r - 2 - 6 = 0. Which is the smallest value? (a) q (b) r (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280437343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**2\/2 + 1. Let n = 4 - 2. Let y(b) = -5*b - n*b**2 + 5*b + 0*b**2. Calculate g(y(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 3*h**8\/280 - 4*h**7\/25 + 12*h**6\/25 + 7*h**5\/25 - 51*h**4\/20 + 14*h**3\/5 - 736*h**2 + h. Find l, given that y(l) = 0.\nAnswer: -1, 1\/3, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131393976 divided by 3\nAnswer: -43797992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8\/(-10))\/(156\/(-117)) - 55588\/(-20)?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.594 - 43633906.5.\nAnswer: -43633907.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -16*p**3 + p**2 + 27*p + 86. Is 11 a factor of w(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -487.85 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -253, -1039, -2351, -4189, -6553, -9443, -12859?\nAnswer: -16801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -72161.65 to the nearest one thousand.\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 18 = -2*n, 3*j - 9 = n + 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 36*v**2 - 46*v + 143. List the prime factors of a(38).\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1430 = 451*s - 321*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-300)\/48)\/((-110)\/264). Sort z, 2\/5, 7\/5, -3 in descending order.\nAnswer: z, 7\/5, 2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 8*y + 4957 = -3*y, -2*y = 4*w - 9906. Let b = w - 1451. List the prime factors of b.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 433 = -180 - 311. Suppose -154 = -5*q - 564. Let m = l + q. Solve m*j = -2*j + 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -5, -1, 12, 162, 477 in descending order.\nAnswer: 477, 162, 12, 3, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d. Let x(m) be the third derivative of 0*m**3 + 0*m + 0 - 1\/10*m**5 + 0*m**4 + 9*m**2. Calculate x(h(y)).\nAnswer: -216*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -534.9 + 534.7. Let g = -2.7 + 3.7. Which is the closest to g? (a) f (b) 8 (c) -4 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10031 - 2?\nAnswer: -10033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(2\/(3\/3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520098 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*j + 7*j + 6308, 2*j = 3*n - 9470. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1943 - 1084. Suppose -o + 179 = -5*x. Suppose -3*y + 2*a + x = y, 3*a = y - 29. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 2. Let r be 1 + (-2 - (2 + -1)). Let w be x(r). Suppose 0 = -5*p - 5*l - 20, l - 6 = p + 3*l. Put 2, p, w in ascending order.\nAnswer: p, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -43*n**2 - 5690*n + 530. Calculate k(-132).\nAnswer: 2378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, f: 4, n: 8, x: 1}. Give prob of picking 4 n.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0. Let b be k\/4 + (-1)\/4. Factor -3*c**2 + c**2 - 2*c**4 + 4*c**3 + b*c**2.\nAnswer: -2*c**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19\/(-10)*2 + (-1)\/5. Let z(w) = -w**2 - 7*w - 13. Let v be z(r). Which is bigger: 2\/17 or v?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239621 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/40 + 9\/40. Let x = 5 + -10. Let z = x + 6. Sort 4, z, b.\nAnswer: b, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.061541 * 31.5.\nAnswer: 1.9385415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1534 = 15*s - 12*s - 5*o, 2 = 2*o. Calculate the greatest common factor of s and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-4) - (-6516)\/(-27216). Is 1 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 94 - 1\/40*u**4 + 18\/5*u + 13\/30*u**3 - 12\/5*u**2. Determine q, given that o(q) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/4)\/(q\/(q**(5\/6)*q)))**(-36) assuming q is positive.\nAnswer: q**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 4:49 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2903, 3338, 3761, 4166, 4547?\n\"Answer: -z**3 + 442*z + 2462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9900 and 101310.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.043223 in 1, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(10\/1 + 3). Suppose -3*k - 2*u = 2*u - 28, -5*k + u + w = 0. Differentiate 36*g - g**2 - 36*g + k with respect to g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/12 (b) -0.12288 (c) -5 (d) -1\/2 (e) -7 (f) -2\/5 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -5*s**2 + 0 - 1 + 4*s**2. Let r(u) = -2*u. What is o(r(h))?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327673?\nAnswer: 327673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.512 + 0.328. Round q to 1 dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-30)*(-6)\/(-168)*-14.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from laaxaralaaralljxr.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 52*x**2 + 149*x + 107. Determine r(-49).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 4*f**6\/5 + f**4\/12 - 181*f**2\/2 - 26*f - 2. What is the derivative of u(y) wrt y?\nAnswer: 96*y**3 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + sqrt(54))\/sqrt(3)*4)**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 233*h - 2158. What is the smallest common multiple of t(12) and 18?\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 626784122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2945.2 - 2945. Let x = 14 + -18. Let w = 6 - 4. What is the nearest to v in x, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2*h**3 - 14*c**2*i + 5*c*h**2*i + 18*h**3*i wrt h.\nAnswer: -6*c**2 + 108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 209*d. Suppose 4*t - 3*t = 68 - 13. Let f(o) = -15*o. Calculate t*f(u) + 4*k(u).\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.9 - -21. Let a = -2210 - -2213. What is the biggest value in -5, -0.2, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -13. Solve -h = o + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 212365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-1\/4)*z)**(1\/63))**(-8\/7)*(z**1\/z)**(-2\/7)\/((z*z*z**0)\/z*z*z*z)**(-2\/11) assuming z is positive.\nAnswer: z**(3242\/4851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24903, 49848, 74817, 99822, 124875?\nAnswer: 149988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (443 - 912 + 1104 + 817 + 1782)*(5 - 5 + 2*q**2) as a*q**2 + k + d*q and give a.\nAnswer: 6468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 29*j**3 - 33*j**3 - 2 + 1 - 3*j**2 + 5 - j. Is o(-2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7*(-135)\/(-525)*-40. What is the nearest to -4\/7 in 1\/2, z, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 45*y**2 + 108*y + 396. What is the lowest common multiple of 144 and m(-4)?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**5 - 149*b**2 + 83*b.\nAnswer: -20*b**3 - 298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 1, 0, -6\/71?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1282 - -1284. Solve q = -i*a + 9, -q + 17 = 3*a - 3*q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-30 - -18 - 9 - -11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.4 and -1.1812167?\nAnswer: 6.2187833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*b - 3*p = 2704677, -5*b - 2704683 = -3*p. Let m = -358936 - b. What is m rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-45) + ((-1598)\/(-6) - 0). Let y = 284 + q. Suppose -5*h = -3*s - y, -3*h + 2*h - s = -110. What is the remainder when h is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5))**(-2\/9)\/(h*h**(-1\/4)*h*h\/(h*h*h**0)*h)*((h\/h**(-11)*h)\/h*(h**(-2\/15)*h)\/h)**48 assuming h is positive.\nAnswer: h**(102229\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*25\/(-675))\/(14\/(-6))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21820151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -2354 (c) -2\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.5244 rounded to one decimal place?\nAnswer: -45.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2\/7 + 368273684*z\/7 + 16953188290866482\/7 = 0.\nAnswer: -92068421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c = -10. Suppose -w + 3*w + 2 = m, -w = 5*m - c. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 5*o = -13 - 42, -5*o + 1 = -4*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/12 and 65\/2530822.\nAnswer: 15184932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 19 + (-4 - -2) + 1 + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/8)\/(80\/3200*45\/6). What is the smallest value in z, 0.16, -420, -1\/4?\nAnswer: -420","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -4 (c) -37221022\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/4, 40.3, 4\/3, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11363 - -2?\nAnswer: -11361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2123*q - 137989. Give t(65).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 9. Let p(o) = -o + 4. Suppose 4*d + 3*r - 3 = 0, -2*d - 3*r + 8*r = -21. Suppose 0 = -d*l + 1 - 16. What is l*p(w) - 2*u(w)?\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a7a2 - 5?\nAnswer: 3a799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**5\/20 + 17*l**4\/12 - 3*l**3 - 3*l**2\/2 + 3*l + 65. Let v be 0 - (-2)\/3*-27. What is y(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 3*n + 6*s + 1073, 3*n + 4*s + 1049 = 0. Let w = n - -358. Solve 3*u - 2*u + w = 0, 4*i + 3 = -u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 749808*g**2\/11 + 2562060*g\/11 + 738\/11.\nAnswer: 6*(12*g + 41)*(10414*g + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4746 and 83958.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 338 - 336. Let k be c + (0 + -1 - -5). Solve -4*l + 6 + k = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 6 = 4*l. Let v = 2\/9 + -5\/9. Which is the second smallest value? (a) -4 (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 91, 203, 361, 565, 815?\nAnswer: 1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**8\/60480 + f**7\/2268 - 5*f**6\/1296 + f**4\/6 - 5*f. Let i(d) be the third derivative of q(d). Factor i(c).\nAnswer: -c*(c - 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + ((-162087)\/(-80) - 18\/45). Let z = -2028 + a. Suppose 0*u = 5*u - 45. Calculate the common denominator of z and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 44650 = -2*l + l, 35720 = -4*c + 2*l. Let n = -4866 - c. Let g = n - 2805. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2\/(z*z**(2\/29)))\/((z\/z**(-1\/3))\/z*z*z)**(-37))**(-16\/5) assuming z is positive.\nAnswer: z**(-121472\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*11 + -18947 + -148)*2\/(-4). What is the greatest common factor of 932 and k?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(7\/126 + (-4)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 6*w**2 - 5*w + 5. Let z be c(-5). Let -5*m**4 + 3*m**2 + 3*m**5 - 6*m**z - 9*m**3 + 14*m**4 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-2)\/(-8)*(-11 - -49). Calculate the greatest common factor of m and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2823*x**2 + 4268*x + 4263*x - 8531*x as u + f*x**2 + a*x and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122919661 is divided by 893?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(45)\/sqrt(9) + -4 + sqrt(40)\/sqrt(8))**2 + 0.\nAnswer: -20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 30 + 15 + 13*c.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhahhadddak. What is prob of sequence dkad?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*g - 64*g**2 - 511*g**3 - 18*g + 512*g**3 to z*g + c*g**3 + x + n*g**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 1:53 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 836 (c) -3001 (d) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100371 - 0.7361.\nAnswer: -100371.7361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**16*w)\/(w\/w**(-13\/3)))**21)**(-29\/2) assuming w is positive.\nAnswer: w**(-3857)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s - 5*s)*(4 - 2 - 4)*(-4*s + s + s + 0*s - 3*s + 2*s + (-2 + 0 + 0)*(s + 2*s - 4*s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*l = -v - 81, -46 = -2*v + 2*l. What is the least common multiple of v and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.6 + -28.6. Let x = -2.1 - -2. Which is the closest to x? (a) h (b) -0.5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(125) - (sqrt(125)*-2 + -2 - sqrt(125)))**2*-6.\nAnswer: -60774 - 1080*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 462473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-8)*32\/(-960)*-636\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*k + 16 = -8*k, 0 = n - 2*k - 2. Let g = 5 + n. Solve 3*j - 2*j = g*i + 7, 3*j + 31 = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (8 - -1) - -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 + 88. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -141 - -223652?\nAnswer: 223511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 144 = 31*y. Solve -i + 2*z = -17 + y, -9 = i + 3*z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 4*x**2 + 2*x - 4. Let j be g(4). Suppose 5*f - j*f - 25 = -4*y, 3*f - 39 = -3*y. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5240003\/4 + 6\/(-8). Round m to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*((0 - 2) + 8). Suppose 3*j = l - 4 + 1, j = -2*l + c. Suppose j*w = 4*w + 8, -5*v - 3*w = 1. Calculate the remainder when 1 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q - 17. What is the tens digit of v(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -428 + 428 - l. Let c(r) = 7*r - 2. Suppose i + b - 18 = -3*b, -24 = -5*i + 2*b. Give i*z(v) + c(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c3a9 (base 13) to base 7.\nAnswer: -141514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -39. Suppose 2*z - 4*z = -4*z. Solve z = 4*i - 4, g*i - 13 = -2*q - 0*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67413 - 66944*u + 134832 - 67419.\nAnswer: -66944*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-6) - 4*2\/16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from {e: 1, v: 1, n: 2, h: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19643359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8045238mm to kilometers.\nAnswer: 0.0000008045238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17, -61, -119, -197, -301?\n\"Answer: -l**3 - l**2 - 34*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029111 to four dps.\nAnswer: -0.0291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/24 - 39\/63. Let h = -2069\/132 + 319\/12. Let d = 862\/77 - h. Sort u, -1\/7, d in decreasing order.\nAnswer: d, -1\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1318, 1241, 1124, 973, 794?\n\"Answer: r**3 - 26*r**2 - 6*r + 1349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -d + 3*i, -20 = 4*d - 9*i + 10*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 67 = m + 3*w, -4*w = -20. Let a = m + 18. What is the lowest common multiple of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7755*i**2 - 11354790*i + 11354790*i to the form g + d*i + k*i**2 and give k.\nAnswer: -7755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 654 - 666. Does 84 divide (88\/x)\/(-11)*252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (732 + 21*o - 1550 + 628)*(-3 + o + 3) as b + u*o**2 + h*o and give h.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + sqrt(114)\/(3*sqrt(6)) + sqrt(19) - (-1*sqrt(2299) + -1)))**2.\nAnswer: -148*sqrt(19)\/3 + 26047\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 29994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19409591 is divided by 6469853.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7686 + 894 = 130*j. Suppose 0 = -0*b + b - 22. Calculate the least common multiple of j and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.67 + 5.67. Let t = -127\/3 + 43. Which is the nearest to 1? (a) t (b) o (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*i = 2 + 1, -3*i = 4*q - 29. Let m(o) = -1 + 1 + 0 + q*o. Let t(g) = -3*g**2. Calculate t(m(x)).\nAnswer: -75*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 64169407 + -4?\nAnswer: 64169403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9249993?\nAnswer: 3, 1027777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 5*c**2 + 4*c**2)*(-3 + 17*c - 7 - 15*c).\nAnswer: -4*c**3 + 20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 267023*r - 267021*r, j - 43*r = -55 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 1906*b - 230880.\nAnswer: -(b - 1776)*(b - 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, 1\/13, 0, -1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 5, 20, 53, 110, 197?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5))\/((-9)\/(-18))*1\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {s: 2, n: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*k + 2*k**2 + 3*k**2 - 174 + 73277*k**3 - 124*k - 73272*k**3 - 26.\nAnswer: 5*(k - 5)*(k + 2)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/4 - 2811*x - 1275120.\nAnswer: -3*(x + 528)*(x + 3220)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-2409 - -2410 - (2 + 16 + 2))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72590411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 2*c**2 + c**2. Let y(a) be the second derivative of -a**6\/360 + a**4\/6 - 2*a. Let n(q) be the third derivative of y(q). What is v(n(w))?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353, -351, -349, -347, -345?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29549269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 19*p + 126. Let i(m) = -1350*m - 8925. Let l(v) = -6*i(v) - 425*z(v). Let k(s) = -38*s. Determine -5*k(b) - 7*l(b).\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i + 37. Let g be c(5). Suppose 0*d - 4*d = -4*u, 4 = d + 3*u. Sort g, d, -2 in decreasing order.\nAnswer: g, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 13 = 4*c - 9, -2*l = 4*c - 2. Is c at least as big as -1\/215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-6))\/((-4)\/(-42)). Let y(w) = -w**2 + 8*w - 6. Let q be y(l). What is the second biggest value in -2, -4, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 + 77. Suppose -5*r - k + a = k, 5*k - 20 = 0. Calculate the remainder when 4 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 307786 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 11*f**3 - 2081*f**2 - 7011*f - 3. Let g(j) = 14*j**3 - 2075*j**2 - 7010*j - 4. Let z(q) = 4*d(q) - 3*g(q). Find the second derivative of z(m) wrt m.\nAnswer: 12*m - 4198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -44. Let z(a) = -2*a**2 - 6*a - 1. Let q be z(-4). Let w be 187\/9 - 2\/q. What is the highest common factor of w and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + 22211?\nAnswer: 22020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 6. Let n be g(4). Let l be 5\/(-4)*n\/10. Let p = -214 - -209. Which is the nearest to l? (a) 0 (b) p (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2352*n + 4714. Let f(x) = -27*x**3 - x**2 - x. Calculate the least common multiple of p(-2) and f(-1).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/12 and (3\/5)\/((-20)\/950).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -96277, -96279, -96281, -96283, -96285, -96287?\n\"Answer: -2*s - 96275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (-2)\/(-8) + (-2710)\/(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 5*p + 4. Let s be c(-5). Suppose -29 = -s*j + 23. Suppose -2*v = -j - 5. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and 0.2.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -692 + 703. Sort 32, t, 2 in increasing order.\nAnswer: 2, t, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -361*v**5 - 2*v**3 + 3201*v**2 wrt v.\nAnswer: -21660*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 + 104*u + 50. Let p be b(35). Calculate the greatest common divisor of p and 2070.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 234 + 15 = 0. Let n = 2737\/11 - d. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 973 = 5*c - 661*u + 662*u, -594 = -3*c - 4*u. Calculate the greatest common factor of 60334 and c.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -2, 964 in decreasing order.\nAnswer: 964, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 617c42 (base 15) to base 6\nAnswer: 243150142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 159*q**2 - 1631*q - 86. Give o(-11).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 85*g - 2*g**2 - 2*g**2 + 2*g**2 - 49*g - 43*g - 23. Calculate b(-6).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4141*j + 12. Let l(v) = 162*v**2. Give t(l(y)).\nAnswer: -670842*y**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7084243 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -0.2, 75867, -1\/4, 4, 23 in decreasing order.\nAnswer: 75867, 23, 4, 5\/3, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1871 (base 10) to base 14\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -1575801.5965012.\nAnswer: -1575801.9965012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650508 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 2:12 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 32. Let c be (-5)\/5 - 106\/d. Suppose 0 = -3*j - 2*j + c. What is the remainder when 60 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001501363 minus -155?\nAnswer: 155.0001501363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, -0.6, -6, -15, 0.2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96189762 rounded to the nearest 10000?\nAnswer: 96190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3562613 and -20?\nAnswer: 3562633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6422880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -1\/10*o**6 + 9\/20*o**5 + 1\/2*o**3 + 2*o - 3\/4*o**4 + 0 + 0*o**2. Factor h(m).\nAnswer: -3*m*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -15*x + 8. Let n be l(-7). Suppose -2*f + 82 = 3*j, 0 = -3*f - j - j + n. Let u = f + -25. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157*k - 17*k**2 - 157*k to z*k + b*k**2 + q and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 515267*k**3 + 325705*k.\nAnswer: 3091602*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -212*p**5 + 9*p**4 + 68*p**3 + 39650*p**2 - 1919?\nAnswer: -12720*p**2 + 216*p + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 61517356 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 269716737749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 - 11 - 18 - t**3 + (6 - 3 - 2)*(-t**3 + 0*t**3 + 2*t**3) - 15*t**2 - 8*t**3 + 15*t**2 - 4*t**3 - 11*t**3 - 24*t**3.\nAnswer: -47*t**3 - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -250, -1 in ascending order.\nAnswer: -250, -1, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m - 4*y + 12, -5*y = -10. Let c be (24\/15 + m)*5. Let t be c\/10 + (-210)\/(-50). Solve t = s + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 6*x + x - 3*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1786992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -35a137?\nAnswer: 35a138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13 (b) 0.2 (c) -2\/89 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3017?\nAnswer: 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2 - 10. Is 3 a factor of (-1)\/((3 + -2)\/((-52)\/f))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x + 9 = 0. Suppose -23 - x = -8*q. Suppose -w + 6*w - 7 = -2*g, -4 = q*w. What is the lowest common multiple of 2 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -113388 + 197049. Suppose 17*y - v = 129128. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a - 14*a + 6 + 26*a. What is l(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 + -39. Let f = u + -28. Let c be -5*((-27)\/10)\/(f\/(-30)). Calculate the highest common divisor of c and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 321, -1\/4, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 4 + 4)*(0 + 3*g**2 + 0 + (3 - 3 - 2*g)*(-g + 0 + 0)).\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -14*q**3 - 140*q + 4. Let g(n) = 3*n**3 + n - 1. Calculate 4*g(r) + i(r).\nAnswer: -2*r**3 - 136*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(88) + 4*2*sqrt(88) + sqrt(88) + sqrt(88) - sqrt(88) - -1*(sqrt(88)*-2 + sqrt(88) + sqrt(88))))\/(6*2*sqrt(800)*3).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 i, and 1 l when four letters picked without replacement from zuzznuzlzznuluzin?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0.4, -3, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 11*n - 536. List the prime factors of n.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 486? (a) 5.6 (b) 10 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4 = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 89 - -424b38?\nAnswer: 425005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-22)\/6)\/((-2)\/12). Let z be 40\/(-6) - (-6)\/(-18). Let r = z + k. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102399 is divided by 1128?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1, 5, 4.\nAnswer: -10, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-46 - -35 - (-39 + 1))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.3. Let f = -23 - -22. Which is the closest to h? (a) f (b) 2\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14940 or -14559?\nAnswer: -14559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-70)\/15 + 4\/6. Which is the closest to -4? (a) 0 (b) -0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-17)*(-289)\/(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5413295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113*b**5 - 2*b - 100 wrt b?\nAnswer: -2260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a millennium?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21467172 is divided by 3150?\nAnswer: 3072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 9:25 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008229985035 rounded to six decimal places?\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwf when three letters picked without replacement from fwwwffww?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*w + 23*w - 53*w + 18*w**3 - 178 - 31 wrt w?\nAnswer: 54*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*l + 26. Suppose 3*h - 2*n - 22 = 3*n, -4*h - n = -14. Factor -18*b**l + 16*b**2 - 4*b**3 + 0*b**h + 4*b + 2*b**4.\nAnswer: 2*b*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 12:33 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 = 18*t - 7. Solve -i + 44 = -t*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -632*q**2. Let y(j) = -6*j. Determine y(i(w)).\nAnswer: 3792*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1817270, -3634539, -5451808, -7269077, -9086346?\n\"Answer: -1817269*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*v + 129*v - 42 - 63*v to d + x*v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -8 + 12 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**28*w)\/w**(-26)*(w**30)**(-9\/7))**(-2\/13) assuming w is positive.\nAnswer: w**(-230\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -411 - -416. Find the second derivative of -x**5 - 3 - 92*x**v + 29*x + 10*x**5 wrt x.\nAnswer: -1660*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*x - 4, 0 = -10*q + 8*q - 3*x - 2. What is the lowest common multiple of 17 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1\/((-4)\/(-40)). Suppose -u - b*u + 385 = 0. Calculate the highest common divisor of u and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 10362162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 2*w, 170*i - 6*w - 6 = 174*i - 46 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43770 is divided by 72.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/6*(-23)\/(-92). Let k = -17 + 12. Let n = -2 - k. Which is the third biggest value? (a) -1\/5 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79808051?\nAnswer: 79808051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-25 + 27 - 7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -4. What is the smallest value in n, 3, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 831 = 84*y - 16*y - 733 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f - 13. Calculate i(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 118 + 73 = -201*v. Which is the nearest to 2\/7? (a) 1\/4 (b) -47 (c) -0.2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*u + 332 = 0, 3*s + 0*u - 1020 = -3*u. Suppose -2*k = 5*h - s, h + 688 = 4*k - 3*h. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 + 3*w - 2. Let r(p) = 4*p**2 + 5*p - 3. Suppose 0 = 14*m - 13*m + 5. Give m*y(u) + 3*r(u).\nAnswer: 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.045 - -26.955. Let z = s - 27.2. Is z bigger than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.065062\nAnswer: -0.0195186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 2*s - b + 24, -3*b + 952 = -4*s + 935 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -88a86 (base 11) to base 12\nAnswer: -62848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*j - 37. Is 3 a factor of 3\/1 - 4\/j*-26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 167291.19 months?\nAnswer: 13.9409325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2660, 10336, 23106, 40952, 63856, 91800, 124766?\n\"Answer: -3*p**3 + 2565*p**2 + 2*p + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 15. What is the second derivative of 0*o**2 + y*o**2 - o - 2*o - 3*o**3 wrt o?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 68732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlh when three letters picked without replacement from {h: 16, l: 2}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -18*b. What is the third smallest value in 3, b, -0.27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5\/3 - o**4\/3 + 11*o**3\/3 + 29*o**2\/3 + 26*o\/3 + 8\/3.\nAnswer: -(o - 4)*(o + 1)**3*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 4*k + 180. What is the remainder when k is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3973926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 4*i - 18, 25*i + 23*i + 10 = 50*i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137724544*y**4 - 3*y**2 + 41*y + 68038 wrt y.\nAnswer: 3305389056*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9610052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/29526 and -43\/45807480?\nAnswer: 320652360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1769012 is divided by 88447?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2. Suppose 9*z - 10 = 4*z. Let w be -3 + (-1)\/m - z. Sort w, 3, -3.\nAnswer: w, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4070990*n**6 + n**2 + 479626*n wrt n.\nAnswer: -488518800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -2\/383809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4998*u - 7 + 4249*u - 17. Let f be z(-8). What is f rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12525898 divided by 38423?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12428959.\nAnswer: 101, 123059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*n**2 + 26*n**2 - 27*n**2 - 115*n**2 + 24*n**2 + 14*n**2.\nAnswer: -52*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.56002738 - 19.56. What is z rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/6 + ((-475)\/(-190))\/((-1)\/2). Let j(c) = -7*c - 7. Let u(v) = -3*v - 3. Give k*u(h) + 3*j(h).\nAnswer: -6*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138 + 56. Let g(l) = 12*l**2 - n + 194. Let o(h) be the third derivative of -h**5\/60 - 5*h**2. Determine g(o(x)).\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2872, 5738, 8604, 11470?\n\"Answer: 2866*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 8:30 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10100100?\nAnswer: -10100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Suppose -2 = y - o*y. Find the third derivative of -3*u**5 - 2*u - y*u + 2*u**2 + 4*u wrt u.\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (77\/(-33))\/(92\/24 + -5). Suppose 4*d = d + 12. Let u be t\/d + (4 - (-189)\/(-30)). Which is the closest to u? (a) 0.4 (b) -2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000 (base 4) in base 3?\nAnswer: -100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 4)*(-2 + 3 - 2) + 0 + 1 + 0 + 0 - 3 + 2)*(4 - l - 4)*(5*l + 2*l + 7*l) + (-3*l + l + 0*l)*(-4*l + l + 2*l).\nAnswer: -26*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 551\/(-38)*-373*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 8*o = 0, -4*h + 96 = 5*o. What is the lowest common multiple of h and 44?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*j + 29 = 0, 2*j - 3 - 10 = 3*l. Let v be 2*4 + l + 4\/4. Find the first derivative of -v + o - 8 + o - 9 wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Suppose 0 = t - 0 + 4. Which is the nearest to x? (a) t (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 492673437 divided by -3\nAnswer: -164224479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 2*r + 2*r)*(3 - 3 - 6)*(-3*r + 4*r - 3*r).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 2*y**4 + 13*y**3\/3 - 15*y**2\/2 - 11*y - 118. Let u(g) = -4*g**3 - 6*g**2 + 7*g + 5. What is -6*k(m) - 13*u(m)?\nAnswer: 4*m**3 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -114.8. Let h = i - 23.913. Let w = 6.187 - h. What is w rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4760178*o**2 - o - 31*o**3 + 21*o**3 - 37*o**3.\nAnswer: -47*o**3 + 4760178*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 11:10 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96581.73 years to millennia.\nAnswer: 96.58173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-one halves of a minute?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*h - h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2 - 2*c**3 + 0*c**3 + (-3 + 7 - 2)*(25*c**3 + 84*c**3 + 42*c**3)*(-6 + 3 + 4) to the form z + a*c**3 + g*c + q*c**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118301, 236308, 354319, 472334, 590353, 708376?\nAnswer: 826403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 6*q**2 - 6*q. What is the remainder when (45\/(-6))\/((((-88)\/16)\/(-11))\/(-1)) is divided by x(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**18*b**(-2\/27))\/((b\/b**6)\/((b\/(b\/(b\/(b*((b\/(b*(b*b*b*b*b**(2\/15)*b)\/b))\/b)\/b)))*b)\/b)) assuming b is positive.\nAnswer: b**(4058\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f. Let x(i) = 68744*i**2 - 5. What is x(p(l))?\nAnswer: 274976*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - 62. Let c = 32 + h. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1563*i**3*s - 1475*i**3 - 10*i**2*s + 972*i**2 + i*s - 4*i - 32*s - 2 wrt i?\nAnswer: 9378*s - 8850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -n + 138, -r = 4*n - 47 - 85. Suppose 175 = 5*m + w, 5*w - r = -3*m - m. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115.40268 milliseconds to hours.\nAnswer: 0.0000320563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14521 by 123.\nAnswer: -14521\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6*f + 23. What is the remainder when 73 is divided by y(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 853 - 1761. Let d = 952 + v. Calculate the remainder when 87 is divided by d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 - 147 + 115*k + 39*k - 168*k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/1*-1 + 1650\/(-120). Let p = 21\/2 + t. What is the common denominator of -35\/17 and p?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**3 - 3*f + f**3 + 3*f**3 - 5*f**3 to c*f**2 + s + p*f**3 + i*f and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 102*k**2 - 213*k + 531. What is s(104)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*f - 128, -3*f = -2*g - 30 - 69. Suppose f = 5*t - 0*t. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -141*b + 74. Let v be p(-12). Suppose v - 5486 = -6*d. What are the prime factors of d?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4 = -4*d, -6*d + 3*z = -4*d + 6. Let r = 4.9 - 0.9. Which is the smallest value? (a) r (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 14 (c) -3\/7 (d) 8 (e) 1\/3 (f) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -290\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -147, -214?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2, -152, -0.2, -2\/13, -1, 75, -4?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 0 - 2\/3*n**3 - 1\/12*n**4 + 52*n + 2*n**2. Let m(r) = r. Calculate m(g(o)).\nAnswer: -2*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.1. Let k = 0 - h. Let n = -66.7 + 67. Sort -1, n, k in ascending order.\nAnswer: -1, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 70?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-40) + (-2)\/(-5). Suppose -4*n - 12 = -3*b, 0*n + 2*n + 6 = -b. Sort -1, b, y in descending order.\nAnswer: y, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-35)*(-10150)\/250 + 1 + -9\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1)\/(304\/(-24) + 10)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -192*o**2 + 59*o + 4. Is n(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 709453, 13 in increasing order.\nAnswer: -4, 13, 709453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00425558403 rounded to five decimal places?\nAnswer: 0.00426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*i - 3 = 0, 2*f = -4*i - 3 - 1. Let g = f + 0. Let o = 5547 - 5547. Which is the nearest to o? (a) g (b) 2\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 7 - 5 + 37 = -5*d, -2*d - 20 = -4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4455.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 395 + -415. Let v be ((-5)\/c + -4)\/((-21)\/28). What is the greatest common divisor of v and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**2 + 56*d. Let p(g) = 2*g - 21. Let u(t) = 10*t - 112. Let r(c) = -16*p(c) + 3*u(c). What is r(s(k))?\nAnswer: 12*k**2 - 112*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**4\/3 - 20*f**3\/3 - 20*f**2 + 20*f\/3 + 56\/3 = 0. What is f?\nAnswer: -2, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*m = -15*m - 930 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 4*d + 2. Let v be h(-2). Suppose 2*n = -2*r - n, -r - 4*n = 0. Solve -j + v = -r*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -0.3, -9\/2, 10\/393?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*f**5 + 78257*f**4 - 7303711*f - 3.\nAnswer: -880*f**3 + 939084*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(6\/11)*s**2\/s*(s*(s*(s\/(s*s**(-1\/5)))\/s)\/s)**(-35) assuming s is positive.\nAnswer: s**(-60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 891, 7411, 25175, 59793, 116875, 202031?\nAnswer: 320871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1064482293 to the nearest integer?\nAnswer: 32626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 + 4*l**2 - 5*l - 4. Let c(t) = -2*t**3 + 4*t**2 - 4*t - 4. Let a(i) = -4*c(i) + 3*q(i). What is the units digit of a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 3 - 6)*1. Let a be (u\/5)\/((-1)\/100). Suppose 4*z + o = a + 4, 4*o = -4*z + 72. Calculate the remainder when z is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-2)*(19 - 17). Let s(q) = -5*q**2 + q + 1. Let c(d) = -11*d**2 + 2*d + 2. Give n*c(u) - 5*s(u).\nAnswer: 3*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -181098 less than -6001342?\nAnswer: -5820244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -497433.5 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**3 - 2*w - 8. Let i(z) = -z**3 - z - 1. Give 5*i(l) - o(l).\nAnswer: -l**3 - 3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 2\/15 (b) -11\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 22)*(-2)\/(-4) + 1. Let s(a) = 2*a**2. Let x(m) = -9*m**2. Give l*s(f) + 2*x(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1396273.\nAnswer: 1396273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvv when three letters picked without replacement from pnnnvvvvpvvv.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 - 7*r**2 + 6*r - 6. Let y be i(2). What is the second derivative of -7*v**y - 13*v**2 - 140 + v + 2*v**3 + 156 - 14*v**2 wrt v?\nAnswer: 12*v - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.78082987 rounded to 2 dps?\nAnswer: -65.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10a28 - -bb?\nAnswer: -1095c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/9, 1, 57007\/5?\nAnswer: 57007\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10414116 and 0.8.\nAnswer: 8331292.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-12) - 40\/(-3). Calculate the greatest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17033 (base 9) to base 15.\nAnswer: 36e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17*((-2465)\/275 + 9) - 8\/(-44).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/223046 and -31\/12.\nAnswer: 1338276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*y, 24 = -3*n - n - 4*y. Let i = n - -2. Suppose 3*o - m = i, 0 = 5*o - 10*o + 3*m + 4. Let w(s) = -3*s**2 - 2*s - 1. Calculate w(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42136977 is divided by 118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from caccccacac?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 16*x + 300 = 0. Calculate the smallest common multiple of x and 70.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1547785 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 55?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*440.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26472\/13236*(-4)\/10*(-90)\/(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 4*t**3\/3 + 145. Let w(s) = -150*s**2. What is i(w(p))?\nAnswer: 90000*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 422 = -f + 3862, 0 = -5*w - 2*f + 4283. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*b - 171, r + 2*b - 47 - 124 = 0. What is the highest common divisor of r and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**2 - 4. Suppose -9 = -3*l - 0*l. Let t(c) = 31*c**2 - 12*c**2 - 3 + l. Calculate k(t(a)).\nAnswer: -38*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57408?\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -34, -49, -60?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -14*j**3 - 24*j**2 - 4*j. Let l(y) = 5*y**3 + 8*y**2 + y. Let z(r) = 6*r + 43. Let p be z(-9). Let s(i) = p*l(i) - 4*f(i). Does 21 divide s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -1313*r**2 + 65. Let g(l) = 41*l**2 - 2. Determine -65*g(c) - 2*s(c).\nAnswer: -39*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 164612278 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 201106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 4 (c) 17 (d) 2 (e) 105886\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a decade in months?\nAnswer: 1056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2. Let l(s) = -16045814*s**2. Give l(j(r)).\nAnswer: -64183256*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 - -1. Let r = g - 0.8. Let d be 0\/1*-1*(-4)\/(-12). Which is the nearest to -2\/7? (a) d (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 5*d - 76, 8*l = 4*l + d + 228. Suppose 5*w - l + 51 = 0. Solve 8*a + 4*f = 4*a + 28, 3*a = 2*f + w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n + 16 = -4*s - 12*n, -s = 3*n - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -80.03 * 57690\nAnswer: -4616930.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-16) + (8245\/(-34) - -16)\/(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(6*sqrt(768)).\nAnswer: sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.61183 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(245) + ((-2 + sqrt(245) - sqrt(245)) + 4)**2.\nAnswer: 7 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -385893*b**5 - 437806*b wrt b?\nAnswer: -7717860*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -11 + 5 + 3. Let o be d + -1 - (6\/(-14) - 0). What is the third smallest value in 0.1, -19, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**4\/4 - 5*t**3\/3 + 4*t**2 + 9*t - 4. Let h be d(-6). Calculate the remainder when 14 is divided by 4\/(h\/(-24)*4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + 5*(sqrt(153) - ((sqrt(153) + 2*sqrt(153) + sqrt(153) - sqrt(153)) + sqrt(153))*4)\/(sqrt(9) + sqrt(9)*1*-3).\nAnswer: 6 + 75*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17826841 to the power of 1\/2, to the nearest integer?\nAnswer: 4222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 + 11)*(1 - 0) - -22. Suppose -4*h + 17*h - x = 0. Determine g so that -2\/3*g**h - 4\/3*g + 4\/3*g**3 + 0 + 2\/3*g**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116490?\nAnswer: 2, 3, 5, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 234713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.71 - -0.29. Which is the closest to -1\/3? (a) 0.4 (b) -2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.041, -8, 160, 2 in decreasing order.\nAnswer: 160, 2, 0.041, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 + 129. Let z = g + -48.863. Round z to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**4\/4 + 2*f**3 - 5*f**2 - 5*f - 3. Let l be r(-8). Let h = -8 - l. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 49*x = -4*x + 308 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 = 154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20354)\/(-1140) + 2\/5. Let o be (-3616)\/(-1520) + 2\/10. Let q = o + x. Find the common denominator of q and 127\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3512 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4629*s + 259216. Determine h(-56).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*i = 15. Let z(r) = r**3 - 7*r**2 + 5*r + 7. Let s be z(6). Solve h = -s, -i*h + 0*h = 5*w + 13 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h - 75. Let x be g(-18). Which is the second biggest value? (a) x (b) -32 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.325 + 0.7. Let n = -2.365 + s. Let h = 0.01 - n. Which is the second biggest value? (a) -2\/5 (b) h (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 166 + -159.1. Let m = z - 7. Let p(s) = -s - 10. Let o be p(-6). Put m, -3, o in descending order.\nAnswer: m, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/(3\/(-54)). Let p(j) = j**3 + 12*j**2 + 29*j - 46. Let v be p(-6). Sort b, -2, v.\nAnswer: v, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -3)*((-95)\/30 - -3). Which is the closest to -1? (a) -0.4 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-30))\/((-15)\/30)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 545482 and 1316.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -56663\nAnswer: -1\/56663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -19.\nAnswer: -19, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 1:35 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 9*g**2 + 12*g + 6. Let t be r(-10). Let i = -8 - t. What is the lowest common multiple of i and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by -599.\nAnswer: 40\/599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1519812966*n + 1519812966*n + 2*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 3*h + 123, -3*v + 4*h + 28 = -91. Let p be (v\/21)\/(-5) + (-17)\/(-7). What is the highest common factor of 8 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -627 - -633. Solve 12 + 0 = -o*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, -2 in decreasing order.\nAnswer: -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371447889 to the nearest integer?\nAnswer: 19273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6032 - -0.0032. What is the third smallest value in z, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from okoiiiikioiimiii.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 48 = 18*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 1. Let h(a) = 10*a + 8. Let n(m) = 5*h(m) - 40*x(m). Let k = -110 - -110. Let c(r) = k*r - 2*r - r + 4*r. Calculate n(c(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 21*4\/(-12). Let b(o) = -o**3 + 6*o**2 + 12*o. List the prime factors of b(x).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/8 (b) -386 (c) 11\/5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 2. Solve i*b = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1480, 5, -7\/737 in increasing order.\nAnswer: -7\/737, 5, 1480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47621 - 47278 = 49*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 54154*k**2 + 108316*k.\nAnswer: -2*k*(k - 27079)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 221*s**3 - 196*s**2.\nAnswer: 1326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22964 + 8159 = -987*j for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -10 - 15) + 1 + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8312945kg in nanograms?\nAnswer: 831294500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c - 8. Let s(x) = -x**2 + 5*x - 8. Let z(v) = -2*v**2 + 42*v - 44. Let d be z(20). Calculate d*l(f) + 3*s(f).\nAnswer: -3*f**2 - f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f**3 + 5 - 3*f + 11 - 2*f**3 - 17 - f**4 as g*f**2 + n*f**4 + q*f + x + o*f**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 230 + 152 = -4*s, 0 = n + 3*s - 65. What are the prime factors of n?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.68 - 3.78. What is the smallest value in -686, -2, c?\nAnswer: -686","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 35*q + 50. Let h = 30 - 11. Let d be f(h). Suppose 8*w = 13*w - d. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 - g**4 + 0*g**2 + (3*g**2 + 4*g**2 - 3*g**2)*(0*g**2 - 3*g**2 + g**2) + 0*g - 3*g**4 + 0*g.\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 138400000 rounded to the nearest one million?\nAnswer: 138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*v + 8, q - 12 = -2*v - 5. Let m be (-15)\/(-2)*1\/(222\/(-8)). Let g = -1097\/3922 - m. Which is bigger: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -49369.\nAnswer: 1\/49369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 506300 divided by -5\nAnswer: -101260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/5 + 524*f**3\/5 - 1032*f**2\/5 - 2096*f\/5 + 832 = 0. What is f?\nAnswer: -2, 2, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.961 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 6*s - s - 4319, -4*s + 3442 = 2*n. Suppose 3*y + 5 = 5*j, -13 = 2*j - 5*y + 4. Suppose -j*x - s = -2*g + x, 5*x = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 10*g**2 + 1125*g + 11218. Determine v(-10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/6 - 4)*(-144)\/(-810). Put 1, -2\/11, h in decreasing order.\nAnswer: 1, -2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 3:37 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 375102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4516.\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106 - -26. Let q = -81 - a. Let o be -5*3*(-2)\/(-6). What is the third biggest value in 0.5, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378 = 4*v - 2254. Suppose 4*c + 5*r = -0*c + v, 4*c - 640 = 4*r. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*g = 2*c + 13, 3*g = -9. Let f(h) = h**3 - 7*h**2 + 6*h. Give f(c).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1 + sqrt(1539) + 3)*6)**2*-2.\nAnswer: -112608 - 6480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27033571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 h when two letters picked without replacement from nsohzuh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 4, 2 in increasing order.\nAnswer: -9, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4680 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 6111366 to the nearest 1000.\nAnswer: 6111000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1986.\nAnswer: 1\/993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovv when three letters picked without replacement from nnvvnvnon?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6759497 rounded to the nearest one hundred thousand?\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*d - 14. Let m be d\/(7\/348) - 0. Is m\/(-22) + 2\/11 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*m + 189 = 0, 0 = -5*p - m + 3*m + 482. Let u(x) = x**3 - 2*x**2 - 6*x + 17. Let r = -63 + 67. What is the remainder when p is divided by u(r)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuuzzyuvuvz. What is prob of sequence zu?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = 30*g - 325 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -214. Suppose -8*d + t = -3*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 891 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/2259 and 41\/502.\nAnswer: 4518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h. Calculate c(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600*c = -623*c + 322 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 4:02 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -201 + 266. Calculate the remainder when b is divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.1, -12\/11, -1.7, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 89, 124, 177, 254, 361?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1 + (104 - 6). Let t = 0 - -11. Calculate the greatest common factor of w and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34\/3 + 229\/21. Let f be -2 - (-64)\/256*(-8)\/1. Sort l, -3, f in decreasing order.\nAnswer: l, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59142*b + 17*b**2 - 18*b**2 + 59142*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16948738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5605 != -5604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**2 - b + 2. Let z(a) = a**2 - 1. Let q(m) = -y(m) + 3*z(m). Let o(s) = 4 + 1762*s + s**2 - 600*s - 559*s - 603*s. Calculate 3*o(g) + 2*q(g).\nAnswer: g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4114\/79 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2\/5, -4, -3.\nAnswer: -4, -3, 2\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -123 - -123.068. Round c to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + m**2 - 16*m + 24. Let g be o(-5). Let d(r) = -r**2 + 6*r - 4. Let i be (-2 - -2) + 6 + -1. Let z be d(i). Which is smaller: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*n + 7. Suppose n = -4*j + 2*j. Let s = 2 + -3. Sort j, -2, s.\nAnswer: j, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 5*c + 7. Suppose 3*h + 0*r = -4*r + 5, h + 2*r - 5 = 0. Let y be w(h). Let x = 122 - 59. What is the greatest common divisor of x and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 48*s**2 + 88*s - 1941. Calculate c(47).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18, 6, -24, -78, -162, -282, -444?\n\"Answer: -s**3 - 3*s**2 + 4*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3194 = 3*b + 9286, 5*z + 2*b = 15192. Let k be z\/22 + (-16)\/88. Differentiate -8 - 138*u**2 + 10*u**3 + k*u**2 with respect to u.\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -254\nAnswer: 12.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*w + 0*w - 8 = 0, 2*l - 7 = -5*w. Let v be 1 + 10\/l + (-143)\/(-2). Suppose v = 6*r - 8. Do 13 and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 2*p = 10, p + 19071 - 19064 = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9991.251 decades in millennia?\nAnswer: 99.91251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h + 3*t = 54, -t - 94 = -2*h. Calculate the common denominator of (-110)\/h + (-15)\/5 and 37\/21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 559704*v**2 + 39161369322*v - 391557724820.\nAnswer: 2*(v - 139921)**2*(v - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 116\/(-36) + 3 + 504894\/(-27). Round i to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3037 or 3036?\nAnswer: 3037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at most -125.386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34\/5? (a) -0.4 (b) 4\/5 (c) -434 (d) -2\/7 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 15 + 13 + 13 + 7 + 2*t. Let x be g(0). Let b be 24\/(-15)*(-4)\/x. Which is bigger: b or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 3*b. Let y be (-8 - 13\/(-2))*20\/(-15). Let v(f) = -f**3 - 4*f. What is y*v(r) + 3*i(r)?\nAnswer: r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/6 - 27*k**3 + 6157*k**2\/6 + 3270*k + 6650\/3 = 0 for k.\nAnswer: -2, -1, 70, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296, 303, 314, 329, 348?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -49*g. Let t(v) = 3 - 2*v**2 + 21*v - 11*v - 13*v. Let w(z) = 5*z**2 + 7*z - 7. Let b(y) = 7*t(y) + 3*w(y). Give a(b(n)).\nAnswer: -49*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 7*n - 24. Let h be g(10). Let d be -101100*(7994\/h - -1). Round d to the nearest one million.\nAnswer: -135000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 4)\/(1\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*h**3 + 63*h**3 + 63*h**3 - 2 to t*h**3 + r + a*h**2 + k*h and give t.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121 and 484?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4193, -8495, -12797, -17099, -21401, -25703?\n\"Answer: -4302*r + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-28))\/((-1111)\/(-77) + -13).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95310097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4123)\/190)\/(-31))\/((-854)\/(-915)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 1 + 2*x**2 + 0)*(-5*x + 5*x - x**3 + (-10*x**2 + x**3 + 10*x**2)*(-3 + 1 + 1)).\nAnswer: 4*x**5 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 109 divided by -5\nAnswer: -109\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19607.\nAnswer: 7, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 1286*u**2 - 15264*u - 287. What is m(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -3*y + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**5 + h**4 + 38*h**2?\nAnswer: 120*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 23 = -f, 2*f + 3983*g = 3978*g - 21 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 331 = 28*a + 64 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7693, -7998, -8505, -9214, -10125?\n\"Answer: -101*g**2 - 2*g - 7590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - (0 + (2 - (3 - (0 - 13))))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3*x**3 - 273*c**3*x**2 + 2626*c**3*x + 3*c**2 + 1081*c*x**2 + 6*c*x + 67*c - x wrt x?\nAnswer: 12*c**3*x - 546*c**3 + 2162*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6660 - -34?\nAnswer: 6704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-18))\/((-1)\/3). Let y = 8659 - 8661. Which is the closest to -0.1? (a) u (b) 0.3 (c) y (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {t: 2, h: 4, a: 8, w: 1, n: 4}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9801 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 6*d**2 - 10*d - 47. Let s be h(8). Solve l + s = 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2358*p + 209. Is f(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (96 + -98 - (-1 - -7)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7484 - (-14)\/((-196)\/(-154))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10082.463*-4.\nAnswer: -40329.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccuuuc. What is prob of picking 2 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66564, 132836, 199108?\nAnswer: 265380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42*r + 86 - 86 + (3*r + 24*r - 17*r)*(1 - 3 + 4) - 2*r + 7*r - 3*r)*(3*r + 6*r - 5*r) in the form z*r**2 + l + n*r and give z.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26555888?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 29*y**2 + 5*y + 10. What are the prime factors of r(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47416*i*k - i*x**2 + 366924*i*x + 2*i + 253*k*x**2 wrt k.\nAnswer: 47416*i + 253*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5*5790\/(-193)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.17, -0.2, 0.7, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 34700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(40)\/sqrt(5) - (((sqrt(2) + 3)*-2)**2 + -5).\nAnswer: -37 - 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/7, 4, 414?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -141, -1, -1.49, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 1:45 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66304*p**2 + 1556*p - 1?\nAnswer: -132608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 4*(-7066)\/72. Let k be (-23)\/((-32)\/(-34) - 1). Let i = k + s. Which is the closest to -1? (a) -2\/11 (b) 2\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 600 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 12372.\nAnswer: -11\/6186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 38, 0.4, 0.5 in ascending order.\nAnswer: 0.4, 0.5, 7, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*(-81)\/((-729)\/6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 divided by -779?\nAnswer: -81\/779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = -4*s. Solve q + 20 = -s*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - j - 20 = -w, -4*w = 5*j - 12. Let a be w\/2*279\/36. Which is smaller: 30 or a?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1824 and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330595 = -53*a + 90*a. Does 62 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188599.\nAnswer: 151, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**7\/21 - 7*a**5\/30 - 13*a**2. What is the third derivative of f(g) wrt g?\nAnswer: 240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1001929\/9 or -111326?\nAnswer: -111326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u + 2. Let h(n) = -3*n + 1. Let g(d) = -5*h(d) + 2*j(d). Let o be g(-1). Which is the second biggest value? (a) -0.4 (b) -2\/13 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 12*x - 48, 7491*x - 8 = -5*p + 7489*x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -14 - 1 - 2) + -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = w - 3153, 2133 = 4*w - 5*k - 10554. Is w a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-7))\/(5172\/458584).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*c**6 + 19*c**4 - 1533*c**2.\nAnswer: 2760*c**3 + 456*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2. Let u(a) be the first derivative of 5*a**2\/2 - 10. What is u(b(f))?\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 664.185.\nAnswer: -1328.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (131 - 80) + -21 + -6\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**30))\/w**(-4\/11)*w\/w**36*w**(-1\/3))**(2\/35) assuming w is positive.\nAnswer: w**(-328\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/(-10) - 2\/10. Suppose q*x + 7 = 25. Suppose x = 4*v - 107. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 6*f - 148, -4*f - 131106*y + 108 = -131107*y for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + (-5 + 4*sqrt(6)\/sqrt(2)*2 - (5*sqrt(132))\/(sqrt(704) - -2*sqrt(704) - sqrt(704) - sqrt(11))))**2.\nAnswer: -44*sqrt(3)\/3 + 487\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00957756433 to four decimal places.\nAnswer: 0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001156627 rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*p - 0*p. Solve 4*g = 3*s - p, -2*g - 2*g - 22 = -5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 - 9 = 0, 4*b + 208 = v. Which is smaller: 1\/29 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20121 - 11202?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 + -84. Solve -2 - 4 = -r*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.6513213 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 4*n + 14. Let z(p) = -p - 1. Let w(u) = -m(u) - 4*z(u). Is w(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41.1 - 41. Let d = -1920.90005 - -1921. Let z = y - d. Round z to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 4587.\nAnswer: 32109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 4*m**2 - m. Let d be c(5). Suppose t + d = -3*t. Let o(k) = -k**2 - 5*k. Determine o(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 22. Suppose f*s + 65 = 8*s. Let z = s + 18. Sort 4, -5, z in descending order.\nAnswer: z, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 5:34 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Suppose -3*k = -2*i - 15, -3*i - 5 - 4 = 0. What is the third derivative of -1912*g**2 + 1880*g**2 - 6*g**k + j*g**3 wrt g?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -48 + 265 + -198?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j + j - 3*j)*(-1 - 4 + 1) - 2*j - 8*j - 2*j as k + x*j and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -44*f**2 + f + 1. Let i be m(-1). Let y = i - -62. What is the remainder when (-5056)\/(-237)*(-18)\/(-8) is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -11.48. Let w = -0.6 - s. Let f = -0.079983 - w. What is f rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 12. Let c be n(9). Let g = c - 2. Let t be (0 + g + 0)*1. What is the highest common factor of 2 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -4490\nAnswer: -7\/4490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*k - 45 + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(11) + 0 + sqrt(5))**2 - (-2*sqrt(125))**2.\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/18 and -4 - (-94)\/(-48)*4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 95*j + 955. Let a be b(-10). Suppose -y + 3*y = 4. Solve 0 = -y*q + a*h - 36 + 11, -2*h + 10 = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 56*j**2 + 118*j - 125. Determine o(58).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**4 + 5808 + 0*g**4 + 4*g**4 + 0*g**4 + 3*g**4 + 8728*g + 738*g**3 + 4380*g**2 = 0?\nAnswer: -363, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b + 22. Let k = -15 + 21. Suppose 0 = 10*o - k*o - 24. Calculate the least common multiple of o and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21a41 + 3?\nAnswer: -21a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 0) + -36 + -21 + 51?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 101965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 466.2 times -2?\nAnswer: -932.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqb when three letters picked without replacement from bqjmmyf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmkbbbktktxkkbk. What is prob of picking 1 m, 1 x, and 2 k?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7035458 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.0895826 + 4.91733. Let k = g - -0.1724. Round k to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -54 (b) 5 (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 766530 divided by -1002?\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {e: 1, m: 1, l: 1, n: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -35?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -6.8. Let p be 33\/(-18) - (1\/2)\/(-1). Suppose 5*r - 30 = -4*g, 7 = 5*g - 18. What is the second smallest value in w, p, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*x - 1104 = 100*x - 155*x for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(130) + sqrt(130)*-3))\/(-2*sqrt(250)) + -5 + 0.\nAnswer: -5 - sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 136 = 5*w, -3*w + 10*x + 76 = 9*x. Let z(t) = 21*t**2 - 26*t - 103. Is z(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(110) - (sqrt(110) - sqrt(110)*1 - sqrt(110) - sqrt(110)))\/sqrt(10)*3)**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11461*s**3 + 60548*s wrt s?\nAnswer: -68766*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**2\/x*(x*x**(2\/13)*x)\/x*x\/x**5*x**(-2\/7) assuming x is positive.\nAnswer: x**(-194\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 y when three letters picked without replacement from {n: 1, k: 2, y: 5, b: 1}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2753\/4826 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6048) + sqrt(6048)*-1 - sqrt(42)) + sqrt(42))*-6*3)\/(((2*sqrt(540) - sqrt(540))\/sqrt(10))\/sqrt(9)*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000715034 to five decimal places.\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 4)*(3557 + 68*j - 3557) as v + m*j and give m.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1147 + -1129. Solve -a - n = 8*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 2, -1\/3.\nAnswer: -27, -1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 282899.0225.\nAnswer: 282899.4225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*g + 252 = 124*g + 158*g. Let u(i) = -i + 3. Let s(o) = 2*o - 7. Let a(d) = 4*s(d) + 7*u(d). Calculate a(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -6.1. Let i = 19 - 18.44. Let y = i + -0.06. What is the biggest value in y, t, -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473311 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 3\/4515818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 8\/255, -0.1, 1079, 0.5 in descending order.\nAnswer: 1079, 6, 0.5, 8\/255, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c - c - 9*c**2 + 19*c. Let i(u) = -9*u + 8*u**2 + 12*u - 3*u**2 - 10*u. Let g = -15 + 26. Determine g*i(k) + 6*x(k).\nAnswer: k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*h - 8, h - 3 = -4*l + 1. Let k(c) = -2*c**2 + 7. Let a be k(l). Let g(m) = -6*m**2 - 3 - 6*m + 5 + 3 + m**3. What is g(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + 46. Suppose -t = 3*i - w - 44, 3*i - t = 50. What is the remainder when 29 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 27. Suppose 2*t - 28 = g. What is the greatest common factor of 19 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12365 (base 8) to base 12.\nAnswer: -3131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 3*w - 3*w + (-3*w - 2*w + 7*w)*(-2 + 0 + 0) - 5*w + 4*w + 3*w + 0*w - 2*w + 0*w - 5*w + w + 2*w - 13 + 13 - 14*w)*(0 - 4 + 3).\nAnswer: 19*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 - (0 - 0))*(-2105)\/(-10).\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 921880913 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 303.875311 to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*x - 3*o - 1, 0 = -3*x - 5*o - 8. Let y = 3 + x. Suppose -y*s + 1 = -i, -2*s + 2 = -2*i - 5*s. Is -3\/2 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -446857.13 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 230, 344, 448, 536, 602, 640?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 73*d = d + 3185 - 7055 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/2 and 4\/(-16) - 107\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4685 - 8000. Let c = -2002 - s. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 39*q - 350. Let k be b(9). Put k, 172, 3, -3 in decreasing order.\nAnswer: 172, 3, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 12557.\nAnswer: 12556.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 17*m - 1. Let d(o) = -16*o + 1. What is 4*d(t) + 3*s(t)?\nAnswer: -13*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 163? (a) -5 (b) 2 (c) -1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((14 - 0) + (-8 - 49) + -4).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-25))\/((-16)\/(-50))*1176\/(-1225).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 24, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(612) + 0 - sqrt(612)) + 5 + -1 + (sqrt(612) + -1)*-3 + 2*(sqrt(612) + -1))**2.\nAnswer: -120*sqrt(17) + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5) - 1386\/2660)*12\/9?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u - 61 + 4*u + 81 + (0 - 2*u + 0)*(-1 - 3 + 1) + 4*u - 1 + 1 + u - u - u.\nAnswer: 8*u + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 807 + 405 + 420)*(-3 + 0 + 5 + 1 + 2 - 1 - 2 - 4 + 5 - 1 + 0 - 1 + (0 + 0 - 2)*(2 + 4 - 5) - 2 + 3 - 3) + 45*i + 64*i + 26*i.\nAnswer: 147*i - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206144 (base 10) to base 15.\nAnswer: -4112e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168913876 is divided by 294.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-6))\/(2\/12). Let d be (-2)\/5 + v\/(-10). Let x be (-456)\/96 - (-7)\/(-28). Put d, x, -3 in decreasing order.\nAnswer: d, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9426*u**3 - 28380*u**3 + 9444*u**3 + 9470*u**3.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50 - -150?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2408768 and 3010960?\nAnswer: 12043840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2)*1 + sqrt(72)\/sqrt(4))**2*-1.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 28 - 353 = 2*a, 2*a = -5*x + 1589. Suppose l - x = 520. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 + j**2 - 7*j + 7. Suppose -7*m = -6*m - 4. Let k be z(m). Let x = k - 108. Solve -3*s = -8*s - x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 - 5*b**2 - b - 3. Let v(y) = -y**2 + 3*y + 9. Let k be v(4). Let u(p) = 2*p**3 + 6*p**2 + p + 4. What is k*u(x) + 6*j(x)?\nAnswer: -2*x**3 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 52 = -76. Suppose -3*p + 17584 = w, -2*w + c*w = -5*p + 29308. What is p rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**3 - 7772*j**2 + 954174*j + 3940920 = 0.\nAnswer: -4005, -4, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*p - 2057077 - 669073 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - -0.2. Put -0.2, g, 0.3 in increasing order.\nAnswer: -0.2, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11135698.\nAnswer: 2, 7, 113, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -23. Suppose 11 = -2*n + g*n. Let v(z) = n - 11 + 2*z**2. Let j(u) = -4*u**2. Determine v(j(k)).\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -539104 + 539101.000008. Let y = 3 + c. Round y to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1875 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 275*c**3 - 265*c**2 - 10*c.\nAnswer: 5*c*(c - 1)*(55*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 12:11 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -1 - 24. Let c = 2 - 4. Let u = -2\/29 + 33\/58. Put w, c, u in decreasing order.\nAnswer: u, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2\/9 (c) -5 (d) 10.2 (e) 0.2 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*s + 46*s + 17*s.\nAnswer: 284*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -8\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + q**2 + 8*q - 6. Suppose 2*t - 5*t = -9, -w = -4*t + 40. Let p = -23 - w. Calculate the remainder when b(p) is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, f: 7, p: 1}. What is prob of sequence rffr?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1372678, 1372674, 1372672, 1372672, 1372674?\nAnswer: 1372678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -824 + 911. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*l - 133 = 0, 1 = -3*f - 5*l + 84. Let k = -106 + 176. Calculate the remainder when k is divided by f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-4 - (-7 - -14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16399 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**3 + 3*u**2 - 7*u + 2. Let s(i) be the first derivative of i**4\/2 + 2*i**3\/3 - 2*i**2 + i - 6. Calculate -4*h(z) + 7*s(z).\nAnswer: -2*z**3 + 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 709 = -2*x + 3*x, x - 3 = 0. Is t < 179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1075 - -0.02511.\nAnswer: 1075.02511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1367, -1369, -1371, -1373?\n\"Answer: -2*o - 1365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 609074 divided by -2\nAnswer: -304537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2710224 by -7788.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*l**3 + 66 - 66)*((0 + 1 - 5)*(-3*l**2 + 4*l**2 + 2*l**2) + (-l + 2 - 2)*(-6*l + l + 3*l)).\nAnswer: -440*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 5112256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**2 - 4*h**3 + 8*h - 1 + 8*h**3 - 5*h**3. Calculate o(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4356*l - 136*l + 7125*l to the form x*l + n and give x.\nAnswer: 11345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*3\/(-60)*8*(-2)\/(-24). What is the closest to -0.3 in 2\/7, -15\/2, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-30))\/(18832\/(-528))?\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 38*b**4 - 4273*b**3 + 5470*b**2 - 1252*b - 68. Let k(r) = -13*r**4 + 1424*r**3 - 1823*r**2 + 418*r + 24. Let o(v) = -17*k(v) - 6*p(v). Factor o(y).\nAnswer: -y*(y - 203)*(y - 1)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-4 - ((-7 - 6) + 98 - 5)) - 7.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200025706 and 442.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**4\/6 - 2*y. Let u(h) be the second derivative of -5*h**3\/6 - 27*h. Determine u(r(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssfsrsrrrsrsr. Give prob of sequence rfs.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 13423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 11:09 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 396152 divided by -24\nAnswer: -49519\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2379023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from upuppuuuuppuu.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 4*f**2 + 3*f - 3. Let m = -1 + -4. Let u be c(m). Find k such that 3*k - 6*k**4 - 3*k**3 - 4*k**2 + 3*k**4 + u*k**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 v when four letters picked without replacement from efppvpefefopevpoevpp?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqrvrfvvvvvqfrv. What is prob of sequence fvq?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -48300 rounded to the nearest one thousand?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-39) - 0) + 2500\/50 + -51\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3280 = -3*z - 150, 3*k = 4*z - 4185. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4759871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3 = -3*j - 90, -2*j = 0. Let q = -333 - -335. Suppose q*n = 49 + g. Calculate the highest common divisor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2209 + 3826. Calculate the greatest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*u**2 + 59*u - 59*u + 3 wrt u.\nAnswer: 34*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 602 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v**3 - v. Let d(r) = 27*r**3 - 3*r. Let g be (-34)\/10 - (-45)\/(-75). What is g*d(k) + 15*y(k)?\nAnswer: -3*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13800303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4*313\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2589, -2591, -2593?\n\"Answer: -2*u - 2587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 1. Let j(n) = 5*n - 6. Let a(o) = -j(o) + 6*w(o). Let x(g) = 2*g**3 + g. What is -3*a(l) + x(l)?\nAnswer: 2*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (0 - 0 - 5)) + (87 - 125)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 7*y**2 - 6*y - 5. Let k be c(6). Let g = k - -2. Let x be (-3)\/(g\/2)*4. Calculate the greatest common divisor of 88 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -7*g + 5 - 1\/2*g**2. Determine z(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3140 = z + 2*r, 6*z - 6*r - 18840 = -11*r. Calculate the highest common divisor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -55*m. Let h(g) = -862*g - 147. Determine u(h(a)).\nAnswer: 47410*a + 8085","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 (base 9) in base 3?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -33*g**2 + 2*g - 2. Let p be f(-3). Let i = 3353\/11 + p. Which is the third biggest value? (a) 0 (b) i (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-365*q + 5 - 4 + 4231*q**2 - 4230*q**2)*(7 - 7 - 9*q).\nAnswer: -9*q**3 + 3285*q**2 - 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 118523.2ug?\nAnswer: 0.1185232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48)\/(-96) - (-1)\/((-4)\/(-242)). Let n = s + -49. What is the remainder when 47 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 81, -0.18, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 7*k - 1296. Suppose 5*z - 811 = 4*n, 4*n = z + 3*n - k. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/2 + -1)*-1. Let t(x) be the third derivative of 0*x + 1\/12*x**5 + 1\/120*x**6 + 1\/8*x**4 + 0 - 4*x**2 - 1\/6*x**3. Calculate t(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from {h: 9, u: 2, x: 1, s: 6}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/((-288)\/15)*(-8)\/145?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*y. Let g be y\/((-96)\/33 - -3). Suppose -5*v = -2*q - g, -2*v + 4*v - 13 = 5*q. Solve 4*w + 0*w = v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - 1955\/(-51))\/((13\/52)\/((-30)\/16))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-5)\/(-5)*2)\/(16\/15352)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 + (-728)\/(-80))*(16 - -2). Determine g so that 3\/5*g**3 + 3\/5 + 9\/5*g + a*g**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w + 7*w - 284 + 143 + 142. Let g(i) = 15*i + 3. Determine -22*a(v) + 6*g(v).\nAnswer: 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 220 + -12. Let m = q + -84. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - b - 1. Let s(r) = 70*r - 16*r**2 + 1 + 11 - 58*r. Let f(w) = s(w) + 12*u(w). Let k(x) = x. Calculate f(k(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*d + 2 - 10*d + 5*d + 3*d to the form q + a*d and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 15) to base 8.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(-21*v - 5*v + 12*v)*(3*v**4 - 5*v**4 + 4*v**4 + (0*v**4 - 2*v**4 + 0*v**4)*(-2 - 1 + 1)).\nAnswer: 252*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 802 + -805. Sort -2.2, b, 0.11.\nAnswer: b, -2.2, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**5\/30 - 9*c**4\/2 - 53*c**3\/3 - 10*c**2. Solve l(w) = 0 for w.\nAnswer: -53, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192191.4 take away -4068?\nAnswer: -188123.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 4*l**2 + 44*l - 12. Let i be k(-9). Let v = -13.8 - -0.8. Which is the third biggest value? (a) -0.5 (b) i (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 = -a + 1, -a + 4*x - 10 = 0. Let v(b) = 14*b + 0*b - 2*b - a*b. Let l(h) = 2*h**2. Calculate l(v(y)).\nAnswer: 200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 6394, -2, 6, 3 in ascending order.\nAnswer: -5, -2, 3, 5, 6, 6394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.1 (b) 1\/22 (c) 5 (d) 10.898\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(3)*-3 + sqrt(108)\/sqrt(4) + sqrt(27).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -5 + (15 - (2 + 13)) + -58 + -2.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = w + 7, -3*n + 7*w - 10*w - 3 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -17 + 1 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/18 + ((-2)\/12)\/(4155\/3047).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12483357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1642 and 41\/2463?\nAnswer: 4926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/n**6)\/(n*(n\/n**(-6\/5))\/n))\/(n\/n**(-1))**(-31) assuming n is positive.\nAnswer: n**(284\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211405453 - 1?\nAnswer: 211405452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 t, and 1 v when four letters picked without replacement from {n: 1, v: 2, t: 3, y: 6}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from {o: 3, l: 1, h: 5, u: 3, a: 1, x: 4}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3104b2 (base 12) to base 13\nAnswer: -20b706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -189 + 181. Let f be m\/20 + (-368)\/(-20). Solve -1 - 14 = 5*j, 5*i - j - f = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -0.05, 2, 6101?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 10*m + 6. Suppose -3 = -4*k - n, 15*k - 4*n = 10*k - 12. Suppose -14*u - 40 + 12 = k. Let f(r) = -2*r + 1. Give u*p(b) + 11*f(b).\nAnswer: -2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1369 + (-5 - (0 - (-1 - -3))). Suppose -9*k + 8579 = -g. Suppose 4*p = -5*j + k, -4*j + 4*p + p = -925. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17497047 and -3548.8.\nAnswer: 17493498.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + g - 4*g = -243, -4*l + 5*g = -187. Suppose -3*v + l = -66. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15, -205, -5?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*g - 18 - 22 = 0, 5*j - 5*g = 0. Suppose h - 112 = -3*t, 2*t + j*h - 35 = 31. Let m = -20 + t. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 465*n + 4. Is q(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 6 (c) 5 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*h = 35, 4*c + 2*h - 4*h = 160. What is the remainder when c is divided by (-840)\/(-98) + (-4)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 + 6 = 0. Calculate the common denominator of (u + (-21)\/(-15))*6\/(-3) and -93\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 1 - 15*u)*(0 - 2 + 3 + (-3 + 3 - 1)*(2 + 0 + 0) - 33 + 79 - 34) as d + w*u and give w.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 76 - 1176*m**2 - 43904*m - 1\/16*m**4 - 14*m**3. Solve t(u) = 0.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 v when three letters picked without replacement from dtvvv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccld when four letters picked without replacement from {e: 1, w: 1, t: 1, l: 2, c: 1, d: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/8)\/(h**(-1\/2)\/h)*(h**2)**(-44) assuming h is positive.\nAnswer: h**(-691\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 2, 0, -5, 112 in decreasing order.\nAnswer: 112, 2, 0, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 - 72.43. Let m = a - -0.03. Let b = -18188.1 - -18188.2. Put 17, b, 1, m in descending order.\nAnswer: 17, 1, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -576781*l**4 + l**3 - 678*l**2 - 5*l wrt l.\nAnswer: -13842744*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74325 - 188.\nAnswer: 74137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2209111596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 47, 118, 229, 386?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10 + (-143)\/(-220).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 283415 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 233505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1085.6 - -1086. What is the nearest to -2 in u, -3, 0.2, 57?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 - 3*r + 3*r)*(-4 + 0 + 3)*(-4*r**2 - 12*r**2 + 2*r**2) + 2*r**5 - 4*r**5 + 4*r**5 + (r**3 - 3*r**3 + 3*r**3)*(-r**2 - 3*r**2 + 6*r**2).\nAnswer: -24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1546491337?\nAnswer: 47, 61, 103, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 27*m = 765 - 635, 2*t + 2*m = -14 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 121796592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1890876160?\nAnswer: 2, 5, 173, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.25 - 3.55. Let n = h - 0.2. What is the third biggest value in 2, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(6\/5)*h*h*h**(5\/3)*h)**(-25)\/(h**(1\/3)*h*h*h*h*h\/h**(-2)*h)**36 assuming h is positive.\nAnswer: h**(-1340\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 24*x = -5396. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 1\/12 (c) 95 (d) -5.3 (e) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061268679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 8.8. Let g = r + -3.2. Sort 0.3, 4, g in descending order.\nAnswer: 4, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 308*p + 19403. Give n(-63).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/16)\/((-486)\/(-216))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 + 59.999925. What is y rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 102384\/(-790)*(-5)\/2. Calculate the highest common divisor of 24 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1711 and 1566?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 58 = a - 237, -5*v + 270 = -4*a. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 8*q = -6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 c, and 1 e when four letters picked without replacement from jjcjeeeeejejtetec?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 236*h**3 - 177. Let w(s) = s**3 - 1. Let z = -27105 + 27106. Determine z*g(c) - 177*w(c).\nAnswer: 59*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + (-2*(sqrt(2736)*-1 + sqrt(2736)) - 6*(-1 + sqrt(2736) - sqrt(2736))))*-6.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 3*m + m**4 - 2*m**4 - 2*m**4 + 2*m**4 + m**4 + m - m + (2*m**3 - 2 + 2)*(m + 4 - 4) - m**4 + 4*m**4 - m**4 - 70*m**4 - 2*m**4 - 39*m**4.\nAnswer: -107*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.042 (b) 0 (c) -0.1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5355, -10625, -15711, -20523, -24971, -28965?\nAnswer: -32415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (248 + 72*u - 248 + 17 - 17 - 9*u + (-u - 2*u + 4*u)*(3 + 2 - 4))*(7 - 2 + 0 + (-4 + 5 - 2)*(2 + 0 + 0)) as l + p*u and give p.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (2*sqrt(42))\/sqrt(6) - (2*sqrt(77)*-2)\/sqrt(11)) + 0)**2.\nAnswer: -48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, -4, 2, -1, -16 in decreasing order.\nAnswer: 7, 2, -1, -2, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 196390 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.1587 - -0.309.\nAnswer: -11.8497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -9 - (-48843)\/402*(-1)\/15?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*((1 + 0 + 0)*(-1 + 2 + 0) - 18 + 11 - 38)*(5 - 1 - 11)*(2 + 2*r - 2) to the form g*r + f and give g.\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6466\/5 - 1290. What is the closest to 1 in -0.4, 2, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*z + 17*z. Solve -3 = z*p - 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(0 + (sqrt(1872)*2)**2 + -1 + 0).\nAnswer: -14979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 152 = 562. Let l = a - 115. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1833.278 litres?\nAnswer: 1833278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-19)\/4 + 5)*0. Suppose 12*y - 11*y - q = 0, -2*q = z. Solve y - 1\/3*v**2 - v = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 28339 = 8*r, -2*r + 84892 = 3*t - r. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 5*w**2 - 3*w + 4. Let t be (3 + 0)\/((-6)\/8). Let c be o(t). Solve 4*l + 5 + 15 = c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22, 82, 186, 340, 550, 822, 1162, 1576?\n\"Answer: i**3 + 16*i**2 + 5*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38164*m = 37968*m + 8232 for m.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0286032357 to three decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13 + 16*y + 2566*y**2 - 3 - 2570*y**2.\nAnswer: -4*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 + 87.8. Let w = -275 - -186. Let n = w + s. Put -4, -3, 5, n in descending order.\nAnswer: 5, n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 276 - 272. Which is the biggest value? (a) -22\/5 (b) u (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, 68, 320, 818, 1646?\n\"Answer: 14*k**3 - 3*k**2 + k - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -9*s + 8. Let p(c) = 9*c - 8. Let w(j) = -j + 1. Let t(g) = -p(g) - 4*w(g). What is 3*k(v) - 5*t(v)?\nAnswer: -2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p - 10. Let f(x) = x**2 - 5. Suppose 4 = -3*a - 11. Calculate the remainder when f(a) is divided by r(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 2 + (-3 - (-2 + 0)). Suppose m*u - 13 + 1 = 0. Solve -2*b + u = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154035 is divided by 138.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87*o**3 - 2*o**2 + 87*o + 2.\nAnswer: -(o - 1)*(o + 1)*(87*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3561047583 + -3561046044.99999229. Let h = -1540.917 - -2.917. Let t = o + h. Round t to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3172.199332 rounded to the nearest one hundred?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from {c: 5, z: 1, m: 1, t: 5, b: 3, n: 5}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11771963 or 11771959?\nAnswer: 11771963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35\/4 + -237\/28. Let j(b) be the second derivative of l*b**2 - b + 1\/210*b**6 + 0 - 2\/21*b**3 - 1\/28*b**4 + 1\/70*b**5. Factor j(a).\nAnswer: (a - 1)**2*(a + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.577 + 3.6. Let o = -1.283 + p. Round o to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t**2 + 5. Let b(u) = 15*u**2 + 9. Give 3*b(p) - 5*v(p).\nAnswer: 5*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*x - 325 = -227*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (28\/35)\/((-432)\/(-40))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -dd (base 14) in base 2?\nAnswer: -11000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -479. Let k = 86 - l. Let t be (-4)\/(-18) + (-148)\/k. Which is the smallest value? (a) 3 (b) t (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -16, -40087, 1, 5, -5.\nAnswer: -40087, -16, -5, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*d - 108 + 165 + 349 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 27\/5 - 6\/5*d - 1\/5*d**2 = 0. Calculate d.\nAnswer: -9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.8 and -554342.\nAnswer: -554341.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 0 - 2 + 2*p**2 + p**3 + p + 1. Let i be 1 - 25 - 2838\/(-129). Determine c(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-14 - (-3 + -7))) + 0 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -395*s**4\/4 + s**3\/3 + 1932*s**2 - 3399*s. What is the first derivative of t(p) wrt p?\nAnswer: -2370*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -34. Let d be (43\/(-26) - 20\/(-130))\/6. Put d, f, -1\/3 in ascending order.\nAnswer: -1\/3, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/(-3) + (-2)\/6. Let f = -118 + -311. Let x = 426 + f. Put x, -5, p, 5 in ascending order.\nAnswer: -5, x, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/8 and -115\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 80718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 524994 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: Let z(w) = 5*w - 9. Let x be z(1). Calculate the remainder when (99 - x)\/(((-16)\/4)\/(-4)) is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13408214 divided by 2?\nAnswer: -6704107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -107, -210, -313, -416, -519, -622?\n\"Answer: -103*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o - 60 = 0. Let t be ((-6)\/(-4))\/((-117)\/o). Let s be 84\/(-294) - 60\/(-357). Put 0, s, t, -5\/4 in decreasing order.\nAnswer: t, 0, s, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104 - 104 - 9*r)*(-256 - 26*r + 256) + 2*r**2 + 2*r**2 - 5*r**2 + (-3*r**2 + r**2 + r**2)*(-2 + 7 - 3) - r**2 - r + r - 2*r**2 + 0*r**2 - 7*r**2.\nAnswer: 221*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 85*c + 31. Let i(y) = 44*y. Calculate i(f(l)).\nAnswer: 3740*l + 1364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((425292 + -6)\/6)\/(21\/28) + 5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/64 and -47\/800?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*sqrt(27)\/(sqrt(144) + (sqrt(144)*-2 - sqrt(144)) + sqrt(144)) + 3 + 1.\nAnswer: -3*sqrt(3)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18005, -34555, -51123, -67703, -84289, -100875, -117455, -134023?\nAnswer: -150573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 1. Let j(t) = -6*t - 2. Let v(q) = -j(q) + 5*k(q). What is the units digit of v(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3849 + 756. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2\/25*z**2 + 0 + 4\/25*z - 6\/25*z**3 = 0?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2808 divided by 1?\nAnswer: -2808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/3943 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 0 + -1)\/(97 - 111 - -11). Solve -32\/3*n - h*n**3 + 16\/3 + 20\/3*n**2 = 0 for n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -221 + 224. What is the third smallest value in a, 0, 1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 - 95. Let x = 14 - u. Let t = x + -35. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = b - 5*k - 5, 0 = 5*b - 3*k + 66. Is 1*3\/(b\/(-152)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, -0.04, 1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -131*z + 368. Calculate g(2).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18229910953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82825 is divided by 81235?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 6:37 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 120539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 304159.4 and -0.5.\nAnswer: -152079.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6352348 or 6352347?\nAnswer: 6352348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*s + 4 - 1, 5*s - 2 = -2*m. Let w be ((m - 1) + 0)\/(24 + -26). Suppose 0*x - 15 = -5*x. Solve -5*v = 2*r - 3*r, -4*v + x*r = w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -3c?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2728\/3 - -924. Find the common denominator of a and -81\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 26*v - 93. Calculate the remainder when 37 is divided by l(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237920764?\nAnswer: 2, 59480191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - c + 0)*(363 - 216 + 936)*(-c - 2*c + 5*c).\nAnswer: -2166*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1088 and 1612144?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-4)*(-16)\/(-12)*-1. Suppose -f - 5 - 7 = -5*n, -3*n - 3 = -4*f. Let g be (10000\/(-6))\/(t\/3825*n). Round g to the nearest ten thousand.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070057713 a multiple of 3054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u**2 - 6 + 4*u**2 + 14 in the form y + r*u**2 + l*u and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13046 and 65978366?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n + 46 = -5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -6*v**3 + 2073706*v**2 + 4838676*v + 1382480 = 0.\nAnswer: -2, -1\/3, 345620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z + 2 = 0. Let x be 0 + -4*z + 2. What is the units digit of x - (-2)\/1 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**2\/2 - 325*i\/2 + 327 = 0?\nAnswer: -327, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1355*s - 1229*s + 113*s - 16520 = -111*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (181 - 15)*(-1 - -8)?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 1\/135*h**5 - 8 + h**2 + 0*h - 1\/540*h**6 - 1\/108*h**4 + 0*h**3. Factor m(d).\nAnswer: -2*d*(d - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.2, 147.\nAnswer: 0.2, 0.5, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8096 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 283870826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 18.5. Let h be 6\/3 - 306\/180. What is the closest to -1\/4 in 3\/4, h, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 141*r**2 - 142*r + 282. Let y be g(140). Suppose -4*x + c = -51, -2*x - 3*c + 27 = -4*c. Solve x = y*b - 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625400913 to the power of 1\/3, to the nearest integer?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -135 - -140. Suppose 8 = 4*s - 2*x, x - 3*x = s - 12. Let i = 0 + s. Which is the second smallest value? (a) t (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 206 + -362. Let p be (-500)\/((j\/15)\/(-2)). Let k = p + 96. Sort 0.2, -3, k in ascending order.\nAnswer: -3, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 4:52 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-29097.\nAnswer: -145485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1765*r - p - 99 = 1770*r, -4*r = p + 80 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**4\/9 + 17*j**3\/18 + 2*j**2\/3 + 92*j. Solve y(z) = 0.\nAnswer: -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23351*d + 538*d + 16202*d.\nAnswer: 40091*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1273*c - 1288*c + 30 = 0. Sort c, -20, 22 in ascending order.\nAnswer: -20, c, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 = 3*p + 5*z, z = -5*p + 1. Suppose p - 16 = -4*d, 3*m + 2*d = 14. Calculate the highest common divisor of 4 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -29. Let l be w\/((-18)\/4 + -1 + 5). Let s = l - 24. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3584 and 86677640?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -38818 (c) 27 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7592 - -6301. Which is bigger: c or -1290?\nAnswer: -1290","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265870 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j - 1. Let l be (4 - 1)\/((-9)\/(-9)). Suppose -w - 3*y = 2*w - 15, l*y - 8 = 4*w. Suppose -7*r + w = -8*r. Determine p(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -185*h + 947. What is the remainder when 107 is divided by y(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -180*j - 27*j**2 + 92*j**2 - 35*j**2 + 17*j - 31*j**2.\nAnswer: -j*(j + 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1152 or 0.1173?\nAnswer: 1152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -272 + 489. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 925*j + 343 = 927*j, 2*s + 126 = -12*j for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -489, -502, -523, -552, -589?\n\"Answer: -4*c**2 - c - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -13.8.\nAnswer: -8.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 650 + 188 = -3*p, -3*p - 3*c + 462 = 0. Let s = 170 - p. Solve 6*o + 2*a = 3*o + s, -22 = -o - 4*a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + h = -5*u, 4*u - h = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d - 720233 = -35*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3ce (base 16) to base 4\nAnswer: 33032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. Suppose f*v - 10 = -2*v. List the prime factors of 2\/v - (0 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20, 43, 66, 89?\n\"Answer: 23*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6218 - -93)\/(-125)*(0 + 1).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 634 = 28*r + 3574. Let z = r + 102. Let i(y) = -7*y + 3. Give i(z).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/5082 - (-30129)\/(-549703)?\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1 and 4.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3 - 7 = 4*i, b = -5*i - 8. Let k be b*-1*(-3 + 2). Solve k = -l - c - 3, -2*l + 2*c - 6 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 1. Let o(k) = 3*k - 4. Let j(g) = -o(g) + 4*t(g). Let u(a) = 11*a**2. Calculate j(u(q)).\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 621078?\nAnswer: 1\/310539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*d + 12*d + 3515. Calculate the highest common divisor of 171 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*x**2 + 139*x**2 + 471*x**2)*(6 + 1 - 5).\nAnswer: 1174*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 63\/(-6)*(-28)\/(-6). Suppose -8 - 224 = -h. Suppose 7*q - 248 = 12*q - 2*b, h = -5*q - 2*b. Is d less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -34, 150, 3, 5, -18, -2.\nAnswer: -34, -18, -2, 1, 3, 5, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/7 + 0. Let q = -5 - -5. Let f = q - -1. Is f less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 3*i**2 + 6*i + 5. Let s(u) = 2*u**3 + 5*u**2 - 7*u - 6. Let j be 2*(15\/5 - 1). Let o(g) = j*p(g) + 3*s(g). What is o(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3434369 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 452 + -412. Solve 16*f + c = 8*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 379*c**2. Let a(p) = 2*p. Give r(a(q)).\nAnswer: 1516*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-15) + (-726)\/(-10). Let b = w + -46. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4840950 and 342422.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 873728.7ml to litres.\nAnswer: 873.7287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 17?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*a - 10, 2*z - a = -0*a + 10. Solve 0 = -5*b - 2*s - 22, s = z*s + 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-50) - (-10343)\/5. Suppose r + 5*s = t, r - 8204 = -3*r + 4*s. Let g = r - 981. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -7. Let k be (32\/4 - 4) + (-2 - -1). Let b(g) = 10 - 10 + g**2 + 0*g - 2*g + 4*g + k. Determine b(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 0. Let n be 1*m - (2 - 3). What are the prime factors of n\/(8\/(-6)) + 21?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2336 or -1?\nAnswer: -1\/2336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 14686395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (20 + -1 - 1). Suppose 5*b = -43 - w. What is the remainder when (b - -10)\/((-6)\/32) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p - 60. Suppose -3*i - p = -6*i. Is -667*(1 + (16\/(-2))\/i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (6 + 0) - -178. Does 26 divide 2\/((15\/g)\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**5 + 5*w**5 + 245*w**3 - 267*w**3 + (0*w**5 - w**5 + 3*w**5)*(3 - 2 + 1).\nAnswer: 5*w**5 - 22*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000602325737 rounded to seven decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-5))\/(2\/20). Let h(y) = -y**2 - 6*y + 138. Let i be h(-15). Put i, -4, a in ascending order.\nAnswer: -4, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/136*(0 - (-12)\/(-4)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(28))*2 - (sqrt(7) - sqrt(63)*3).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 149 (c) 5 (d) -4 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4\/g**(-1\/12)*g\/(g*g**6)*g**(1\/4))\/(g**(1\/3)\/(g*g**(-9))*g*g**(-1\/4)*g**(-8)*g) assuming g is positive.\nAnswer: g**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -70*r - 2. What is the tens digit of q(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5361 - 4889. Which is the closest to u? (a) 0.5 (b) 4 (c) -1\/6 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4\/13*k**3 + 2\/13*k**4 - 14\/13*k**2 - 8\/13*k + 0 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(33)\/((sqrt(96)\/sqrt(4))\/sqrt(8)) - (-5 + -2*sqrt(891))**2)*-1.\nAnswer: 537*sqrt(11) + 10767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.416 - -1.33. Round f to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -123*k**3 - 3196*k**2 + 46*k - 133. What is b(-26)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135870, -543480, -1222830, -2173920, -3396750, -4891320, -6657630?\nAnswer: -8695680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) - 32\/55. Let g = 12 + -12.36. Let q = 0.16 + g. What is the nearest to 2\/5 in q, f, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 47*b + 717. What is y(-34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 - 52*o\/3 - 304\/9.\nAnswer: -2*(o + 2)*(o + 76)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/32440 and -131\/140?\nAnswer: 227080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7310?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11054 - -11058. Let n(a) be the second derivative of 0*a**2 - 15*a + 0 + 1\/3*a**4 - k*a**3. Find w such that n(w) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 14024\nAnswer: -6\/1753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*n - 62*n = -4*q - 25, -5*n - 30 = 5*q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 16. Let v be h(14). Suppose -2*f - v*f - 56 = -4*u, -3*u + 26 = 5*f. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6)*204\/(-8). Let m = h + -25. Let l = m - -44. Solve l*f + 2*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/2*(-710)\/4615?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2348592445?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-4))\/(-1))\/(3*22\/(-528))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 12:27 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2421.79 to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 2*z**2 - 2*z + 2. Let r be q(2). Let x(g) = 7*g**2 + 3*g + 4. List the prime factors of x(r).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 19*u = 18*u + 16, -4*n - 4*u = 0. Let f(h) = 2*h**2 - 8*h - 60. Let l be f(n). Solve 0 = l*z - 8 - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*p + 44, -h + 5*p = -14 - 29. What is the remainder when 28 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 294*z - 5 = -293*z, 3*x + 3*z = -15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 1090256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + a - 5, 5*m = -11*a + 10*a + 9. Suppose 7 + 13 = 4*j, 3*h = m*j + 2. Solve h*z - 5*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a**3*b + 4*a*b*y - 18977*a*y - 1557*b + 632*y wrt a.\nAnswer: -9*a**2*b + 4*b*y - 18977*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**3\/9 + 32*y**2\/9 + 34*y\/9 = 0.\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnng when four letters picked without replacement from {u: 1, g: 1, a: 4, n: 6, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78090 by 18.\nAnswer: 13015\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(-l + 0*l + 0*l) + 2 - 2*l - 2 + (2 + 2 - 3)*(-l - 3*l + 5*l) - 2*l - l + 4*l + (1 - 1 + l)*(-1 - 1 + 5) - 4*l + 1 - 1 - 5*l - l + 3*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 133243 less than 472?\nAnswer: -132771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1196131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + sqrt(126)\/(sqrt(9)*2))\/(sqrt(343)*1).\nAnswer: 3*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*l + 0 - 98 = 63*l. What is the nearest to 7 in l, 42, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165\/55*22\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288684*p - 288681*p - 8 = 5*l + 43, 30 = -4*l - 3*p for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -41506, -165759, -372866, -662827?\n\"Answer: -41427*h**2 + 28*h - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a**2. Let t(o) = -1628*o - 1479*o + 3294*o. What is t(b(q))?\nAnswer: 1122*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 506808 divided by 2?\nAnswer: 253404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 82, 118, 150, 178, 202, 222?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 + 115*b**2\/2 - 4949*b\/4 + 6375\/2.\nAnswer: (b - 17)*(b - 3)*(b + 250)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/238*(-24584)\/(-10536)?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129380 is divided by 129162?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.24. Let d = 4.04 - s. Let h be ((-5)\/(-35))\/(2\/(-4)). What is the biggest value in -5, d, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-1) + 9 + -2. Solve 0 = 2*z + 3*z - n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141685738 to the power of 1\/3, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w**2 + 41*w + 316. Let l(n) = 2*n**2 - n - 1. Let k(h) = -4*l(h) - o(h). What is the first derivative of k(z) wrt z?\nAnswer: 2*z - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545832 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.9 + -8.\nAnswer: -39.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1\/6)*r)**(-40))**(-16)\/((r\/(r*r**(2\/3)*r))**(-2\/19)*((r**(1\/3)*r)\/r)\/r**(1\/5)) assuming r is positive.\nAnswer: r**(131704\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 8*j + 9. Let f be c(-6). Let m be (f\/2)\/(3\/44). Let u = 13 - m. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 318 and 17755?\nAnswer: 106530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78424.\nAnswer: 2, 9803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*j - 5640 = 7*j. Calculate the greatest common divisor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 125*c**2 + 26*c + 2476. Determine i(-125).\nAnswer: -774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -76 + 1244?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1443*h - 5777. Give x(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*u + 4*t - 2*t, -3*u - 4*t = -48. Suppose 0 = 5*a - 3*x - x - 116, 2*x = -3*a + 52. What is the smallest common multiple of u and a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 4) + (3 + -1 - (13 + -10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10929644.\nAnswer: 2, 11, 248401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = b - 58, -2*v - 11 = -2*b + 57. What is the remainder when 142 is divided by b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**14\/a*a*a*(a**(-4\/9)*a*a)\/a assuming a is positive.\nAnswer: a**(140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -2*k**6\/27 - 1556*k**5\/15 - 2797*k**4\/27 + 1244*k**3\/9 - 3403*k. Let p(m) = 0. Calculate m.\nAnswer: -933, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**4\/12 - l**3\/6 - 5*l**2\/2 - l - 372. Let s(x) = 2. Give -8*s(f) - 3*t(f).\nAnswer: 3*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -262 divided by 6\nAnswer: -131\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**3 - 220*z**2 - 1625*z + 18750 = 0. What is z?\nAnswer: -25, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 65043 divided by 891?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 12. Let h be a(-9). Let l(k) = -k**2 + 10*k + 3. Let z be l(10). Let x(r) = 1 - r**2 + 1 + r**z + 4*r**2. Give x(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15925, -51542, -110911, -194038, -300929, -431590, -586027, -764246?\nAnswer: -966253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 444\/(-2664)*(-8)\/((-240)\/27)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/45*-3*-3 - -889. Let n(q) = 9*q**2 + 6*q - 4. Let h be n(1). Calculate the greatest common divisor of y and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 1159*o**4\/3 - 1127*o**3\/6 - 4903*o. What is the second derivative of l(r) wrt r?\nAnswer: 9272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*q = -10, n - 2*q + 3*q = 4. Suppose -2*s + s + n = 0. Let h = 30 - 152\/5. What is the second smallest value in s, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(5*f - 4*f + 1 - 2).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.1. Let n = v + 0. Let b be (4\/(-6) + 48\/108)\/(9\/(-27)). What is the smallest value in b, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616128728.\nAnswer: 2, 907, 84913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*k**4*x - k**3*x - 2*k*x + x - 72 wrt k?\nAnswer: 84*k**3*x - 3*k**2*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**4\/4 + 3*o**2 - 3*o. Let p(z) be the first derivative of c(z). What is the units digit of p(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 0.06 (b) -0.06 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41? (a) 2\/9 (b) 11 (c) -3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2184.87 + -2185. Put -0.3, -1\/6, -3, j in descending order.\nAnswer: j, -1\/6, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -146 - -1837?\nAnswer: 16a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-290)\/(-3) - ((-28)\/12 + 3). Let b = v + -95. Let l(g) = -12*g - 1. Determine l(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -53. Which is the closest to 2\/7? (a) -0.4 (b) -2\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8537 is divided by 342?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6624 and 23?\nAnswer: 152352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 10*p**2 + p + 2. Let z be a(-10). Suppose -h = 5*b + 59, -4*h + 39 = b - 6*b. Let f = z - b. Solve -x = -2*x - f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 20552707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 205759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 + 4 - 44)*(2 + 10 - 2)*(-1 + 1 - h)*(-2*h + 3*h - 2*h) as s*h**2 + y + b*h and give s.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3876 and 7752.\nAnswer: 7752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from {o: 2, g: 10, p: 2}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.497? (a) 0.25 (b) -0.9 (c) 4 (d) -2\/5 (e) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 - 4 = g, -i - 10 = g. Suppose 0 = 2*b + 2*b - 64. Let j = g + b. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by -14293\nAnswer: 60\/14293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110769 is divided by 6923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12469.0715 - 12470. Is m bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 10*u + 3. Let d(v) = 3*v + 1. Let x(r) = -21*d(r) + 6*m(r). Let c(f) = 10*f + 10. Calculate 2*c(t) + 7*x(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 30*z - 85. Let k be t(25). Suppose 5*q = 392 + 168. What is the greatest common divisor of k and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -12*y + 6. Let g be -1 - (-28)\/36 - 33\/(-27). Let d be n(g). What is the tens digit of 114 - 2 - (d - -3)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7 = -h, -16 = -4*h - 10*i + 7*i. Let c be (14 - 16 - 3\/h) + 10. Solve z - 4*d + 2 = -2*d, -3*z + 5*d = c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60)\/(-6)*2\/5. Solve 0 = -5*s - x*c - 19, 4*s + 10 = -c + 3*c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -8 - 0) + -3. Let f = 4 - 2. Suppose w*s + f*l = -l + 61, -6 = -2*l. Solve -6*i = 4*k - i + s, -5*k - 3*i - 26 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -60*f**3 - 4508*f**2 - 603*f - 226. Determine r(-75).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 v when three letters picked without replacement from {d: 1, q: 1, k: 2, v: 2, o: 4, z: 4}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5323, 6, 5\/3, -1, -0.2 in decreasing order.\nAnswer: 6, 5\/3, -0.2, -1, -8, -5323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -7*x + 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.14 (b) -7 (c) -0.195 (d) -0.004 (e) 4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3107058*a**2 + 167335*a + 11 wrt a?\nAnswer: -6214116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 > 164\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = k - 2*k. Solve 0 = -u - 2 - 3, -5*g = k*u + 45 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377252081.\nAnswer: 3, 271, 564679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*a - 37, -8*k - 4*a - 58 = -13*k. Let c = 10 - 24. Let i = k + c. Solve 2*j + j = i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 174\/35 + -32\/7. Suppose -55*o + 33 = -52*o. Suppose 23 = 4*y + l, 4*y - 2*l = 7*y - o. What is the third smallest value in 5\/3, y, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 - -1. Let s = p + 1.6. What is the second smallest value in -2\/3, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 5:51 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 621964.1 litres?\nAnswer: 621964100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/20)\/(-3) + -1 - -1. What is the second biggest value in 0, r, -2\/17?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -180909*c**2 + 312306*c wrt c.\nAnswer: -361818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55690 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/152 and ((-216)\/24)\/18*2*(-51)\/(-10).\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c37 - -b?\nAnswer: 2c44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*k - 89*k + 135*k.\nAnswer: 127*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 13*b**4\/12 - 5*b**2 + 11. Let i(z) = -6*z - 3. Let l(q) = 5*q + 2. Let s(g) = 2*i(g) + 3*l(g). Calculate s(u(c)).\nAnswer: 78*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9014212001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2127*x - 368 + 2127*x - x**2.\nAnswer: -x**2 - 368","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = j + 21, -18 + 0 = -s + 4*j. Suppose -s*x = -2*x - 52. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528 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: What is the thousands digit of 32406718?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2) + (-9)\/6. Let l be 4\/18 + (-25)\/(-9). Suppose i*q - q + l = 0. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3, -3*j - 3*z - 4 = -214. What is the third derivative of 6*c**2 - j + 59 - 4*c**2 + 18*c**3 wrt c?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - t + 70, 28*s - 3*s + 3*t = 23*s - 54 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 8 - 0. Let b = f - 10. Is -3 + 43 + 4\/b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2252*k**4*z + 2*k**3*z - 5*k**2*z + 3536*k*z - k wrt k?\nAnswer: -54048*k*z + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(2\/21))**(-12\/7)\/(r*r\/r**(2\/85)*r**(-4)))**(-25) assuming r is positive.\nAnswer: r**(-9840\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38823 + -9358. Let f = o + -11178. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*g - 13 - 5 + 15 as k*g + z and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/874 at most -2.48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/(-28))\/(6\/7). Let c be 55\/7 + 15\/105 + -7. Is c not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274374.\nAnswer: 2, 3, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 322 = -388. Suppose 3*s - r*s + 20632 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -1599?\nAnswer: 479.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 17*z - 102. Suppose -75216 = -z*i - 25924. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/12 - (81\/(-180) - (-54)\/(-180)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -111818 and -0.2?\nAnswer: 111817.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.3 + 3.3. Let d = -0.708 + 2.708. Which is the nearest to d? (a) z (b) 1\/5 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 5:50 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 421 divide 720675799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35728559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8\/3 + -3. Let f = -43.42 - -43.26. What is the nearest to 0 in f, t, -2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 1. Let b be (w\/(-176))\/((-5)\/30). Let r = -2\/11 - b. Is 6 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2967 - 2967.2. What is the second smallest value in s, -23\/14, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-6))\/((-98)\/(-147))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 311.4508 micrograms?\nAnswer: 0.0003114508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*z, 6 = 4*l + 2*z - 0. Suppose -4*y = -13 - 7. Suppose 0 = -10*x + 24*x - 28. Solve l*s = -2*o - x, -4*s - 3 = -2*o - y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 3*h**2 - 3*h + 3. Determine m(5).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -225.2955 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1426681788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -15*x - 1 - 14*x + 30*x. Let c be b(3). What is the third derivative of f**5 - 2*f**2 - 3*f**5 - 2*f**2 - c*f**2 wrt f?\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*p - 2*m - 218, -3*p - 4*m - 220 = 0. Let u be 6\/p*(-16)\/6. Sort u, 2\/15, -2\/7 in increasing order.\nAnswer: -2\/7, 2\/15, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and -5.1.\nAnswer: 3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - r - 23264, 0 = -2*f - r + 6924 + 4714. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53294 is divided by 255.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 563660 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h - 902 = 3*j, -890 = -4*h + j. What is the highest common factor of 17 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13250 and 200.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -10. Let z be 2*(o + 1)*8. What is the greatest common factor of 24 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25151000 to the nearest one hundred thousand.\nAnswer: -25200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/9 - 44\/6. Let l(n) = -n**3 - 6*n**2 + 7*n - 3. Let z be l(s). Is 5 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1022870 and 3495.\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41.4624 + -41.7624. Let i = 1.8 - 43.8. Put 1\/6, i, x in decreasing order.\nAnswer: 1\/6, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, -5\/41, -5 in ascending order.\nAnswer: -5, -5\/41, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 91*k + 2085, 107*k - 106*k - 7 = 4*f - 46 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-48)\/(-28))\/(4\/14). Let s(o) = o - 4. Let h be s(j). Let v be 5*(0 - -3 - h). Which is greater: v or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 11:03 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*p**6*x - 2803*p**4*x**2 + 2*p**2*x**2 - p*x**2 + 224*p - 22*x**2 wrt p.\nAnswer: -3960*p**3*x - 67272*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4*i - 1)*(2 + 2 - 5 + (-3 + 4 - 2)*(3 - 3 - 3)) + (i - 4 + 4)*(-1 - 1 + 1))*(-i + 2*i + 10*i).\nAnswer: -99*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 4) to base 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 165 = -23. Let n = m - -50. Solve n*c + c + 2*k = -18, -k = 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/24 - (-318)\/8. Suppose -4*h + 2*c + z + 169 = 0, 149 = 3*h - 5*c. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 19359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 14 = -2*m + 4*k, 11 = m - 2*k. Let w(p) = 5*p - m*p + 59 - 3*p + 0 - p**2. Is w(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 9 = -0*j. Put j, -1, 0 in increasing order.\nAnswer: -1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135978 and 1557.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -8*r**4 - 24*r**3 + 32*r + 6. Let d(z) = 9*z**4 + 25*z**3 - 2*z**2 - 32*z - 7. Let g(s) = 6*d(s) + 7*m(s). Factor g(h).\nAnswer: -2*h*(h - 1)*(h + 2)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 491 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*f + n = 47*f - 726, -3*f + 3*n = -720. What is the greatest common factor of f and 594?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2430 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -1\/16*u**5 + 0 + 150*u**2 + 1\/32*u**4 + 5\/8*u**3 + 0*u - 1\/160*u**6. Factor d(b).\nAnswer: -3*(b - 1)*(b + 1)*(b + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -74*v**2. Let p(b) be the second derivative of -b**3\/3 - 2357*b. Give x(p(i)).\nAnswer: -296*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**6\/10 - m**2 - m - 6. Let h(k) be the first derivative of a(k). Differentiate h(u) with respect to u.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -229*q + 236*q + 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -379*y - 17 + 760*y - 387*y in the form p + z*y and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(108)*-2 + 4)*1 - (4*(sqrt(108) + sqrt(108) + 1) - (-2 + sqrt(108) + 1))**2.\nAnswer: -5314 - 432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2. Let l(p) = -6747956*p. Give s(l(q)).\nAnswer: 136604730533808*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**5 - 13*g**4 + 120707*g**3 - 18835482*g**2.\nAnswer: -120*g**2 - 312*g + 724242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17f6 (base 16) to base 7.\nAnswer: 23612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let x be (2 - (-52)\/2)\/g. Let c = -6 + 13. What is the greatest common factor of x and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 3, -1651*r = -x - 1646*r + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 225*i**2 + 244*i + 5. Let t(n) = -3*n. Calculate t(c(l)).\nAnswer: -675*l**2 - 732*l - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**6\/120 + p**5\/60 + p**4\/12 - 29*p**3\/3 + p**2. Let r be f(0). Does 3 divide (-7)\/28 - r\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 5*i - 3*i)*(-1 - i**2 + 1) + 0*i**3 + 4*i**3 + i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 b when four letters picked without replacement from bbbbppjbpp.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -38 (b) 0.56 (c) -0.2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-six fifths of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -39*g**3 - 340*g**2 - 552*g - 212. Give d(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40687022 is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -307.32 - -6\nAnswer: -301.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 594353463 to the power of 1\/4, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 686641 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, o: 2, v: 6}. What is prob of sequence vy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -c9f (base 16) to base 9\nAnswer: -4380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 9:43 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2072977 times -4?\nAnswer: 8291908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.174 (c) -10\/347\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6539 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, -3, -86, -2 in ascending order.\nAnswer: -113, -86, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-7))\/((-1)\/((-70)\/(-75))).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 9 = -5*a, 3 = -2*s - 5. Let j be -1 + -216 + a*-3. Let m = j + 369. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58 + 52 - 116 + 17*r**3 - r - 45*r**3 in the form a*r + k*r**3 + l + g*r**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.91 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*z + 37 = 4*j, -5*j = -2*z - 5. Suppose -j*o + 6 = -4*o. Let f be 4\/(-6) - 4\/o. Solve 2*l - 6 + 16 = f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8366 + -1821. Suppose 65*b = 10*b + d. What is the second smallest value in b, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8327 + 8322. Let l(k) = -3*k**3 + k. Let u(h) = h**3 + h. Give p*u(w) - l(w).\nAnswer: -2*w**3 - 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2184\/68 - (-26)\/(-221). Let g be (-17)\/(-2) - (-2)\/4. Suppose 5*u = g*u - y. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -31*c**3 + 9*c**2 - 9*c + 25. Let f(m) = 16*m**3 - 5*m**2 + 5*m - 13. Calculate -9*f(k) - 5*w(k).\nAnswer: 11*k**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a - -8d763c?\nAnswer: 8d7602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022 is divided by 330.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-27) + (-107)\/(-3). What is the highest common divisor of 24 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346*p + 350*p = 2*w - 7938, w - 3*p = 3977. Calculate the greatest common factor of 236 and w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 - 2*x**3 + 2*x**3)*(-3*x**2 - x**2 + x**2) - 112 + 112 + 25*x**5 - 4*x**5 + 4*x**5 + 3*x**5 + (2*x - 8 + 8)*(2*x**4 - 3*x**4 - x**4).\nAnswer: 27*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -1 - -1) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5600*y - 5597*y + 4 = 2*m, -6 = 3*y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121014 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: 46310983 divided by 2\nAnswer: 46310983\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 5*z**2 - 7*z + 9. Let m be t(6). Suppose -b = m*i + 1 - 7, 3*b - i = -2. Let q(d) = d - 8. Calculate q(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/1096 and 7\/4932.\nAnswer: 9864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**5\/60 + v**4\/8 - v**3\/6 + 3*v**2. Let s be x(1). Is (-695 + s)\/(6 - 8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 447095237?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.4 + -35.4. Do b and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-2)\/72*-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1686388311 to the power of 1\/2, to the nearest integer?\nAnswer: 41066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 392940520?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*r. Suppose 0*i - 3*i + 12 = r. Solve -8 = 3*t + i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 10:32 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**5\/60 - 13*o**4\/12 - 53*o**3\/6 + 1687*o**2. Determine d(28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 - 2. Let n = 2.74 + -2.44. Let z = -767\/7 - -109. What is the closest to z in 4, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/19, -9, 40, 2\/13, 4, -5, 0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2*d - 21 = -4*o, -26*o + 28*o - 7*d - 42 = 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001011101000 + -1010?\nAnswer: 101001011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 30*y + 20. Let p be n(6). Let s(r) = r**2 + 16*r + 13. Determine s(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -12, 9, 66, 171, 336, 573, 894?\nAnswer: 1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 8:30 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3236934 and 4776?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**3 - 2 + 2 + (3*g - 4*g - g)*(-1 + 1 + g**2).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/7, 5\/8, 0.01, -5, 2989.6?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -41*d**5\/20 - 5*d**4\/2 + 72*d. What is the third derivative of t(g) wrt g?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56 and -0.5?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1842 divided by 1842\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = 14*b - 14. Suppose b*j - 2757 = -489. Calculate the highest common factor of j and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 + 0*s**2 - 3*s**2 + (-4*s + 0*s - 5*s)*(0*s + 3*s + 2*s).\nAnswer: -47*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-33)\/22)\/(((-3)\/1)\/6). Suppose -5*g - s*m + 15 = 0, m + 0 = g - 3. Suppose 6 = -11*c + 14*c. Solve c*o = o - g, -o = -4*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27590)\/(-1335) + (-8)\/(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40502 is divided by 17689.\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 m when three letters picked without replacement from {m: 3, f: 1, y: 5, d: 1, a: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.68 * -25.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 6*f + 5. Let x be 5 + -4 + 0 + -2. Let c be x + -2 + (2 - 1)*-3. Determine h(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - g + 5*g - 3*g)*(-6*g**3 + g**3 + 0*g**3).\nAnswer: -5*g**4 + 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 91, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164 and 6437?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 502 + -498. Suppose -o = -2*o + 2*l, 0 = -z*l - 4. Suppose 3*k = 5*b + 7, 4*b + 4*k + 12 = -0. Is o not equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -0.3, -4, -136, -3\/4 in ascending order.\nAnswer: -136, -4, -3\/4, -4\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w - 1. Let f be 3 - 6\/(-9)*-3. Suppose 0 = s + 2, 4*s + 0 + 8 = 5*m. Let i = m + f. Give a(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166379989?\nAnswer: 29, 5737241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.45521m in millimeters?\nAnswer: 75455.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 356 and 22695.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 414763 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/((n*n*((n\/(n*n\/n**(3\/7)))\/n*n)\/n)\/n*n)*n*n**(4\/11))**(-2\/33) assuming n is positive.\nAnswer: n**(-452\/2541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*c - 39*c = -65. Let z(f) = 4*f - 9 - f + 0*f - 4*f. Give z(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -2, 15, -5 in descending order.\nAnswer: 15, 3, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 3, s: 3, t: 1, n: 1, a: 2}. What is prob of picking 1 k and 1 s?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 43*t - 33. Let n(d) = 10*d - 8. Let x(w) = -9*n(w) + 2*p(w). Let a(r) = -2*r. Give a(x(b)).\nAnswer: 8*b - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 2, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -25*m**3 + 179*m**2 - 953*m + 6465. Calculate y(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 20. Let w(d) = d - 10. Let u = -4 + 7. Suppose 0 = -u*h - 9, -4*f + 2 = 4*h - 6. Let r(n) = f*w(n) - 3*b(n). What is r(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 12:04 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f - 142 = 4*p, 181 = -5*p - 2*f. Let t be 15*(p\/(-10) - 2\/(-4)). Calculate the greatest common divisor of 189 and t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 456 and 338712.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 835.\nAnswer: -22\/835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -108*t - t + 1090 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 13622096 in descending order.\nAnswer: 13622096, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 125 = 5*o, -5*o + 0*f - 3*f = -85. Suppose o = 3*b + 2. Does 3 divide 34\/4 - b\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -430023 or -430025?\nAnswer: -430025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/180 and 57\/16.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 18*q - 36. Let s be a(-15). Find j, given that -s*j**2 + 7*j**3 + 24*j - 6*j**3 - 13 - 2 - 1 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -954*l. Let w(p) be the second derivative of -p**4\/6 - 1752*p. Give r(w(g)).\nAnswer: 1908*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3) - (-2)\/(-6). Let h = y + -2. What is the units digit of h*((-7)\/2 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 20*d + 7. What is the remainder when 25 is divided by y(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2856078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 3\/(-135)*-575?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142455?\nAnswer: 3, 5, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 18*b**2 - 1885*b + 364. What is t(104)?\nAnswer: -988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001922023 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 14*f + 9 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -154 or -159?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2180232 is divided by 80?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-3)\/(-10)*((-2401880)\/1341)\/(-403)*3\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 11:30 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -7*i + 3*i + 26, 0 = 5*u + 25. Let w = 5 + i. Does 11 divide 3 + w*30\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 0.074 (c) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6031 (base 16) to base 9.\nAnswer: 36701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2548.155555 take away -0.5?\nAnswer: -2547.655555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 8*z**2 - z + 1. Let g be m(-8). Let n = g + -8. Is 339 + (2 + -3 - n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1172845?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**4\/12 + 5*i**3\/6 - i**2\/2 - 2*i. Let c(p) = 7*p - 31. Let g be c(5). What are the prime factors of q(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 10:43 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 4 + s**2 - 5*s**2 - 17*s. Let d(w) = w**2 + 4*w + 1. Let c(z) = z**3 + 11*z**2 + 9*z - 8. Let k be c(-10). What is k*p(u) + 9*d(u)?\nAnswer: -u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 2:46 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-1 + 0) + 54. Let p be 0\/(-2 + 1) + -42. Let l = 64 + p. What is the highest common divisor of d and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Let y(l) = 59*l**i - 57*l**2 - 1 + 1. Let k(f) = 4*f + 2. Let g(p) = p + 1. Let z(a) = 2*g(a) - k(a). Calculate z(y(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -3 + -2 + 2 - 2831. Let y = h + 19849\/7. Factor -8\/7*r + y - 4\/7*r**2.\nAnswer: -4*(r - 2)*(r + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**7\/350 + l**6\/100 - 7*l**5\/100 + l**4\/10 + 24*l**2. Let b(m) = 0. Calculate m.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -320476\/7 + 45782. Let k be (-2)\/(-3) + (2 - 2). Which is the closest to -1\/3? (a) u (b) k (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, d: 4, y: 7, e: 1, i: 4}. Give prob of picking 2 f and 1 e.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**2 + 344437*c + 1801951?\nAnswer: 4*c + 344437","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3)**49)**47\/((z\/z**(3\/7)*z)\/(z*z**(-4)*z*z)*z**7\/z*(z*(z\/z**7)\/z)\/z) assuming z is positive.\nAnswer: z**(48352\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 3*y**2 + 2*y - 4. Let q be i(-4). Let a(n) = -n + 12. Let t(o) = -3*o + 71. Let j(s) = -6*a(s) + t(s). Calculate j(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1124?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(405)\/sqrt(9)) + (sqrt(5) + -2 + sqrt(10)\/sqrt(2))**2 + -4 + (sqrt(180) + 0 + 0)**2.\nAnswer: -10*sqrt(5) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 5495?\nAnswer: 16485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.01, -5014, 0.2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/2)\/((-34209)\/(-121632))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v**4 + 22*v**3 - 2*v**2 - 108*v + 93. Let z(k) = -17*k**4 + 43*k**3 - 3*k**2 - 217*k + 187. Let i(r) = -7*f(r) + 3*z(r). Factor i(l).\nAnswer: 5*(l - 3)**2*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 10. Let s = 3 - v. Let g = 1.79 - -0.21. Which is the nearest to 1? (a) g (b) s (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*s - 12 - 14. Which is the nearest to s? (a) 3 (b) 3\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111012 (base 3) to base 7.\nAnswer: -1016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 - 3*c**2 + 4*c + 4. Let r(h) = -5*h**3 - 8*h**2 + 7*h + 9. Calculate 7*p(k) - 3*r(k).\nAnswer: k**3 + 3*k**2 + 7*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2872048?\nAnswer: 2, 17, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 104, 188, 298?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k. Let r be n(-5). Is 13 a factor of (-2)\/(-16)*26*r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 194?\nAnswer: 1358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -99*k*m**2 - 74*k + 2*m**4 wrt m?\nAnswer: -198*k*m + 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -9 - 21. Put a, -3, 1, 1\/3 in increasing order.\nAnswer: -3, 1\/3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11437795, -4, -6 in ascending order.\nAnswer: -11437795, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6546 + -3306. Does 81 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*s - 9*s + s - 5*s**2 + 0*s.\nAnswer: -5*s*(s - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + v**2 + 3*v - 2. Let s be i(-2). Suppose -s*n - 4*n = -2*n. Let n + 2\/9*y**2 + 1\/3*y - 4\/9*y**3 - 2\/9*y**4 + 1\/9*y**5 = 0. Calculate y.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4889.97l?\nAnswer: 4889970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/425 - -49\/425. Suppose 15 = 5*h, 5*h = -4*t - 8 + 27. Let n = -26\/105 + 8\/15. Which is the biggest value? (a) t (b) i (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 7904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2230 is divided by 64.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**3 + 3*x**2 + 15*x - 11. Suppose 10*c - 15 = 7*c. Let a(v) = -v**3 - v**2 - v + 1. Let h(d) = c*a(d) + b(d). Find s such that h(s) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58287*b**3 - 27126*b**2 + 4 wrt b.\nAnswer: 349722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 422064, 844110, 1266148, 1688172, 2110176?\nAnswer: 2532154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**2 - 1073*l + 11840. Give j(-279).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2a54 (base 11) to base 12\nAnswer: -2337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 15*t + 12. Let k be d(-14). Let w be 0 - -15 - 6\/k. Suppose -s + 4*j = s - 36, -s - 4*j + w = 0. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 16*n**2 + 5*n - 5. Let w be t(2). Let j = -35 + w. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3 - 6*m**2 - 5*m = 0. Calculate m.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 12) to base 11\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 1)*(1 + 1 - 46*b - 14*b).\nAnswer: 180*b - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 7:08 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2 + (4 + 0 - 2)*(3 - 7 + 2) - 4 - 3 + 5)*(5 - 5 - 2*t).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g**2 + 6. Let x(k) = -15*k**2 + 13. Calculate 9*u(r) - 4*x(r).\nAnswer: -3*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*j**3*o + 331*j**3 - 3*j**2*o - 16*j**2 + 2*j*o + 2*j wrt j?\nAnswer: -168*o + 1986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 8 = 7*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7513, -7501, -7489, -7477?\nAnswer: -7465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -z + 3*o, -o = 4*z + 2*o - 278. Let s = 61 - z. Let i be 3\/s + 156\/21. Solve -g = 4*g + 2*l + 33, -3*g = -2*l + i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 + 4*n + 0*n - 5 + 3*n**2 + 7 as o + q*n**3 + a*n**2 + f*n and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 23, 15, -7, -49, -117?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1855543, 3711064, 5566581, 7422094, 9277603, 11133108?\n\"Answer: -2*g**2 + 1855527*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 4 - 2)*(2*g**2 - 2*g**2 - 3*g + 2*g**2 + 2)*((1 + 2*g - 1)*(3*g - 7*g + 3*g) - g + g + g**2).\nAnswer: 12*g**4 - 18*g**3 + 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499170 is divided by 731?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.777 to 0 decimal places.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, x: 2, a: 2}. What is prob of sequence asax?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.4, 25\/4, 2 in descending order.\nAnswer: 25\/4, 2, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 9435*l**2 - 190200*l - 953500.\nAnswer: 5*(l - 1907)*(l + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4665 (base 8) to base 10\nAnswer: 2485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 3. Suppose h + 3 = s. Let g be (-1 - 6) + 8 + 1 + -7. Sort -1, g, h in decreasing order.\nAnswer: h, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -251400 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 1, b: 1}. What is prob of sequence abn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -663 - -1010. Factor 922 + 4320 + 3051 + 5*y**3 + 2160*y + p + 180*y**2.\nAnswer: 5*(y + 12)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from {q: 4, x: 4, w: 1, j: 5, a: 5}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -577 less than or equal to 0.1062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/5 - 3078*w\/5 - 2368521\/5 = 0.\nAnswer: -1539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.224?\nAnswer: -0.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*-3*(-3)\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**3 + f**2 - 1. Let b be n(-1). Suppose -b*p = -1 - 11. Suppose -3*s = -5*s + p*z + 29, s + 4*z - 42 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -349.115 + 349. Which is the second smallest value? (a) o (b) 4 (c) -2\/19 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 1 + 7. Let q be (-2)\/p - (-7 - -3). Suppose z - 2*t + 6*t = 0, 5*t = 0. Put q, z, -2 in increasing order.\nAnswer: -2, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -0.1, 0.2, 0.3, 3, 0.269, 205?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16030488.\nAnswer: 2, 3, 281, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2d0 (base 16) to base 9\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5750, 5749, 5748, 5747?\n\"Answer: -p + 5751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2243324 - -11020?\nAnswer: 2304344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -679.\nAnswer: 19\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4194 divided by 9\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x**5*x)*x*x*x))\/x)**(-25)*x**(5\/3)\/(x*x**(6\/5)) assuming x is positive.\nAnswer: x**(-1133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 1, j: 2, l: 1, o: 2}. Give prob of picking 1 l and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(33) - sqrt(33)*1*-5 - sqrt(4752)*-2)\/((-2*(sqrt(66) - (sqrt(66) - sqrt(66)*1)))\/sqrt(6)))**2.\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 15 - p - 10 - 1 + 14 - p**2. Does 18 divide j(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 392 + -391.9. Let i = -5.7 - -6. Let k = -0.2 - i. What is the nearest to 0 in k, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -1437?\nAnswer: -1437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**4\/4 - g**3 - g**2 - 2*g + 4. Let b be m(-2). Let c(w) = -1 - 2*w**2 + 5 - 5 + w - 3*w. Determine c(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2115377959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44212.\nAnswer: 2, 7, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 14*g - 74. What is l(-9)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from srssrr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.115047 and 0.14.\nAnswer: 0.024953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/279 and -9\/310.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 + -45?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4*(-3 - -5). Let n(a) = 2*a**2 - 29*a - 50. What is the lowest common multiple of n(-2) and 237\/12 + r\/4?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4 - 4 = 0. Let c(l) = -l + 1. Let b(t) = 2*t - 6. Let w(k) = -3*b(k) - 12*c(k). Let i(m) = m. Let d(f) = -3*i(f) + w(f). What is d(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - 2*u - 6*u**2 + 1 - 6*u**2 as n*u**2 + c*u + s and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -344126, -344126, -344128, -344132, -344138, -344146, -344156?\n\"Answer: -h**2 + 3*h - 344128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4043*j**2 - 4043*j**2 - 4*j**3 + 6*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**7\/98 - 3*g**6\/70 - 9*g**5\/28 - 17*g**4\/28 - 3*g**3\/7 - 2*g - 56. Factor m(d).\nAnswer: 3*d*(d - 6)*(d + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 + 16*h**2 - h - 34. Let z(i) = -2*i**3 - 12*i**2 + 2*i + 34. Give -3*t(x) - 4*z(x).\nAnswer: 2*x**3 - 5*x - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 5*u**2 + 5*u + 8. Let y be h(6). Solve 0 = -11*p + 12*p - y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 1446, -1126, -2\/19 in descending order.\nAnswer: 1446, 4, 0, -2\/19, -1126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*t = -19, 44 = 12*x - 16*x - 4*t. Let z(n) = -n**2 - 7*n. Let s be z(x). Solve -31 + s = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -56148162*l. Let s(z) = 2*z. Determine q(s(p)).\nAnswer: -112296324*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, u: 1, i: 4, s: 1}. What is prob of picking 1 u and 3 o?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 971 + 37. Suppose -2*s = s - h. Suppose -3*q + 3*g = -27, q + 12 = 3*q - 4*g. What is the greatest common factor of s and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121326*c**2 + 60663*c**2 + 60663*c**2 - 65*c**3 - 2*c.\nAnswer: -65*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/54*(-63)\/70?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45610100 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 416\/5, 0.3, -0.05?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 208*y - 2. Let k be w(5). Let m(c) = c**2 - 6*c - 157. Let p be m(-10). Suppose -p*g = -k + 141. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 769777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 < -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**5\/40 - y**3\/12 + y. Let b(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 + 10*y**2\/3 + 14*y\/3 + 2.\nAnswer: 2*(y + 1)**2*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t - 89. Let a(r) = -10*r - 179. Give 6*a(x) - 13*y(x).\nAnswer: 5*x + 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 954, 0 in ascending order.\nAnswer: 0, 22, 954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -58582.616 to the nearest one thousand.\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 1078 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-46405)\/(-35) - -3 - 4\/(-28). What is the units digit of q\/15 + (-4)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1276.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-204)*(-32)\/56?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1 - l + 4 - 5. Let n(a) = -121*a + 121*a + 8*a**2. What is o(n(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4078*r - 118689 = -1924*r + 121391 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwpp when four letters picked without replacement from {p: 5, w: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1006*t**2 + 3 - 1005*t**2 + t.\nAnswer: t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2579, 2577, 2575, 2573, 2571?\nAnswer: 2569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 70447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 - 3*b - 87. Let w be q(-7). Suppose -w*m + 63*m = -36. Find y, given that 6\/5*y**4 + 0*y**3 + 0*y + 2\/5*y**5 - 8\/5*y**m + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 25*a - 14. Let y = 8 - -2. Suppose -x = -39 - y. What is the remainder when x is divided by w(24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + x - 1. Let g(m) = m**2 - 5*m + 6. Give -g(l) - 4*i(l).\nAnswer: -5*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 2, u: 4, m: 11}. What is prob of sequence ul?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3542 - 3537 - 8306*l + 2317*l.\nAnswer: -5989*l + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 17*t**2\/2 - 5*t - 2330. Let f(i) = 18*i - 4. Calculate -4*d(p) + 5*f(p).\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 1 - 4) + 3 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -356990, -713985, -1070980, -1427975, -1784970, -2141965?\n\"Answer: -356995*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1172, -4020, -8762, -15398, -23928?\nAnswer: -34352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 100*k**4 - 6465*k**3 - 61530*k**2 + 42065*k - 6570 = 0.\nAnswer: -9, 1\/4, 2\/5, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15872954 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdi. Give prob of sequence tt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmmcenmrcxnc. Give prob of picking 1 c and 1 e.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and -544.\nAnswer: -9792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, o: 2, u: 1, v: 2, g: 2}. Give prob of sequence pu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14385, 28885, 43497, 58227, 73081, 88065, 103185?\n\"Answer: s**3 + 50*s**2 + 14343*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g**2*l**2 - 7375099*g**2*l - 792*g*l**2 + 2887*g*l + 15*l**2 wrt g?\nAnswer: -8*l**2 - 14750198*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -3*g**5\/5 + 3*g**4\/2 - 3. Determine m so that d(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 33*d**2 + 6*d**2 + 1094*d + 13*d**2 + d**2 + 8*d**2 as f*d + r*d**2 + i and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and -148.6496.\nAnswer: -3121.6416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/3)*j*j)\/j*j\/j**(-17))\/(j**2*j*j**(2\/9)) assuming j is positive.\nAnswer: j**(148\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62647?\nAnswer: 13, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 12:03 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 4*i - 2*a, -3*i + 134 = 2*i - 2*a. Which is smaller: i or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (72\/(-45))\/(24\/(-90)). Sort 3, 1, x, -1\/4.\nAnswer: -1\/4, 1, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**23*v*v))\/v*v)\/v*v\/(v*v\/v**29))\/(v*v**(7\/2))**(13\/4) assuming v is positive.\nAnswer: v**(-93\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 273 (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-2\/27)*q))\/q)\/(q*q**(-2)*q))**(-43)\/((q*q\/q**2)**(1\/24))**0 assuming q is positive.\nAnswer: q**(1075\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9750374 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -507, -1656, -3899, -7602?\nAnswer: -13131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133524 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2918419776.\nAnswer: 2, 3, 1213, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 11*i - 43, -4*y - 2309*i - 39 = -2312*i for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/(-6)*-3*-6. Let x = v - -70. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52834 - 17474 = 4526*h + 15686 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92.6674 - 92.7. Let o = p - 0.0674. Let g = 1\/9 + 13\/45. Which is the second smallest value? (a) 0.047 (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (282*y + 0 + 2 - 195*y)*(y + 3*y - 3*y).\nAnswer: 87*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(1\/13)*x)*x*x**4)\/(x\/x**21*x**(-6\/7)\/x) assuming x is positive.\nAnswer: x**(2437\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2303965204.\nAnswer: 2, 29, 337, 58937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 568408429*d**3*s - 30*d**3 + 1064*d**2 + 1259*d - 2 wrt s.\nAnswer: 568408429*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2 = 2*w - 59, 21 = 2*f - w. Let r(j) = j**3 + 4*j**2 + 2*j + 19. Let q be r(-4). Calculate the greatest common divisor of f and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*n**5 - 42*n**4 + 5*n**3 - 36*n**2 + 19 wrt n?\nAnswer: 180*n**2 - 1008*n + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -792.\nAnswer: 13\/792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 0*y**3 + 0*y**4 + 0 - 1\/105*y**7 + 7\/30*y**5 + 0*y**6 + 0*y + 14*y**2. What is the third derivative of p(k) wrt k?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 388 divide 1678126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 1216 + 40. Suppose -25*s + 27*s + o = 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: Simplify ((x*x**0)**(-40)*((x*x\/(x*(x**(-1)\/x)\/x)*x*x*x)\/x)**16)**(-1\/4) assuming x is positive.\nAnswer: x**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 186 - 129. Suppose -5*j = -4*g - 2 - 148, -2*j = -g - w. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178169 divided by -4?\nAnswer: -178169\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 573, 574, 575?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 5. Let f be s(6). Suppose 4*r = x + 2*r - f, -4*x = 4*r - 16. Solve -2*w = 3*d - 17, 4*d - 22 = -x*w + 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 6*n**2 + 10*n + 26. Let w be m(-4). Suppose 4*j + 37 = 3*z - 8*z, -2*j - w = 2*z. Let p(g) = g**3 + 7*g**2 - 9*g + 7. Determine p(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 5:39 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 28 + 8 + (167 - 82) + 0\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*p - 37*p + 79*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9467775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -7*h**5\/90 + 41*h**4\/27 - 200*h**3\/27 - 64*h**2\/9 - 3*h + 30. Factor x(y).\nAnswer: -2*(y - 8)*(y - 4)*(7*y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -226.46804 + 226.97. What is t rounded to two dps?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-80)\/1170)\/4)\/(12\/9 - 1)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -23. Suppose q - z*v - 1 = 0, 2*q = -0*q + 3*v + 14. Solve 5*d + q - 3 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2259 + 876 + 2020 - 512 + 789)*(2*y - 3*y + 3*y).\nAnswer: 10864*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6235529 times 0.3?\nAnswer: 1870658.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(1728) + 2*sqrt(1728) + sqrt(12)).\nAnswer: sqrt(2)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4139*r - 769*r = -3276*r + 551618 for r.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 13 - 200 = 0. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 8*v + 7. Let j be d(-4). Suppose j*o - 20 = 28*o. Which is greater: -3 or o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 15*m**2 - 225*m + 2060. Calculate x(9).\nAnswer: 1250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-384)\/(-27) - (-2)\/(-9). What is the common denominator of 61\/2 and 151\/63 + i\/(-49)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 11 = -l + 31, 5*g - 3*l = 68. Suppose -2*b + 2*a - g = -24, 0 = 3*a - 12. Let r(f) = f**3 - 7*f**2 - 8*f + 2. What is r(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -167311692*d - 117713757?\nAnswer: -167311692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27391.2 rounded to the nearest 100?\nAnswer: 27400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sccsxscsxcs. What is prob of sequence sx?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 61*k - 443. What is the remainder when 51 is divided by d(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 10:01 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 160*n - 974?\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 3*t - 4. Let o(g) = 11*g**2 + 13*g + 9. Let z(h) = -9*h**2 - 12*h - 9. Let a(m) = -5*o(m) - 6*z(m). Determine 2*a(s) + 5*x(s).\nAnswer: 3*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21 (b) 0.4 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 27 = 2*z. Suppose z*h - 4*h + 215 = 0. Let a = -12 - h. Calculate the remainder when a is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -520*q**3 + 3 + q - 511*q**3 + 1571*q**3 - 527*q**3 + 85*q**2 to u + w*q**3 + d*q + t*q**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*f - 16 + 78, 5 = -f. Suppose 29*h = u*h + 445. What is the remainder when h is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + q**3 + 4*q - 8*q)*(q**2 - q**2 + 3*q**2).\nAnswer: 3*q**5 - 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 350*i**2 + 10128*i + 15146. Give a(318).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16612 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13992642 divided by 2\nAnswer: -6996321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 7:27 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 369503010 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -44085 bigger than -220428\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 + 29*x**2 - 13*x + 28. What is k(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*n + 2. Let f = n + 6. Solve -f*h + c + 4 = -h, -18 = -5*h - 2*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82632585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 38\/3 + 4\/12. Suppose 5*b + 21 = -4*n, n - 3*b - o - 3 = 0. Put -5, -1, n in ascending order.\nAnswer: -5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5693475420 to the nearest one million.\nAnswer: 5693000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j. Let x(k) = -4 + 13 + 2*k - 9. Determine x(g(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 12, x: 7}?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - 2*z + z + (-5*z + 5*z - z)*(-1 + 3 + 3) + (3*z - 2*z + z)*(-3 + 3 - 3) - 2*z + 12*z - z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 3*c**2 + c**2)*(1 - 1 + 2) + 2 + 5*c**2 - 2*c**2 - 4*c - 2*c**2.\nAnswer: -3*c**2 - 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2434 (b) -2\/3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 + 90. What is the remainder when l is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 2, 1 = -7*i + 6*i - 5*t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*a + 50. Let r = 70 - a. Solve 4*q = -r, 5*c + 0*q = 4*q + 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**4 + 17\/3*h**2 + 0 + 4\/3*h + 22\/3*h**3 = 0. What is h?\nAnswer: -1, -4\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*a - 2620 = 153*a for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 21775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12526132*j**4 - 992511*j.\nAnswer: 150313584*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 36609*q - 36608*q = -7, 0 = -c + 5*q + 62 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqrrqqqqqqrrqqqqqqq. Give prob of picking 1 r and 1 q.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*y + 190 = -491*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 48\/2*(0 + 2\/6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*o + 4061*o + 4746*o - 1856*o = -54344 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -159 - -159.3. Which is the third biggest value? (a) 57 (b) 0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240601?\nAnswer: 17, 14153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (25 - 11 - 24)) + -25?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 60432519 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, g: 3, c: 4}. Give prob of sequence ccco.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16329538 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -7740226.\nAnswer: -12\/3870113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.97 - 0.0245?\nAnswer: -4.9945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**5\/8 - 73*t**4\/4 - 759*t**3\/8 + 73*t**2 + 755*t\/2 = 0.\nAnswer: -5, -2, 0, 2, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107002827.\nAnswer: 3, 11889203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*k + 8, -2 = -3*k - 4*m + 7. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 6*y**2 - 5*y + 8. Let l be j(-4). Let d(m) = m**3 + 4*m**2 + 2*m + 3. Calculate d(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.4 (c) 30.311 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4154 + 4155. Sort 4, -2, -3, 0, w in descending order.\nAnswer: 4, w, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 124*x**2 + 2403*x + 123. What is v(-17)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*(j*j*j\/j**(-1)*j)\/j*j)**37)**(4\/5)*(j**(-2\/5)\/(j\/(j\/((j\/(j\/j**(-3\/5)))\/j))*j))**(2\/9) assuming j is positive.\nAnswer: j**(9326\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 318736899*k - 378166489.\nAnswer: 318736899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-168)\/(-15))\/(-7))\/(1\/5). Let t be (-23)\/92 - 2\/l. Which is the nearest to 1? (a) -7 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*i = -10, 12*i = -18*f - 3*f + 16*f - 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012872506 rounded to 7 decimal places?\nAnswer: -0.0012873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 1349484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605*q**3 - 1491925*q**2 - 12330*q = 0.\nAnswer: -1\/121, 0, 2466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/2 - 5384521\/85445?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**3 + x**3 + 4*x**2 - 7*x - x**3 - 2*x**3 - 7. Let c be z(-5). Suppose -26 - 19 = -c*k. Calculate the greatest common divisor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(300) + 1 + -2 + sqrt(300) - sqrt(300)) + sqrt(300) + -5*(2 + sqrt(147))))**2.\nAnswer: 330*sqrt(3) + 796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l*q*u - 3*l*q - 155504*l + 213282*q*u + 118*q wrt l.\nAnswer: q*u - 3*q - 155504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 63 - -2?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 5005?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169595, -169613, -169631?\nAnswer: -169649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 24.304389 minutes?\nAnswer: 0.40507315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -4*h + 12, -3*q + 9*h = 14*h - 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 185, 5\/4, -411 in decreasing order.\nAnswer: 185, 5\/4, -0.1, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - f)*(0 + 4 - 3)*((2*f**2 + 2*f**2 - 3*f**2)*(3*f + 0*f - 2*f) - 227*f - 37*f**3 + 282*f + 34*f**3).\nAnswer: 2*f**4 - 55*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - w**2 - w**2)*(-2*w + 6*w - w)*(-4 - 1 + 3).\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -253861 and -0.24?\nAnswer: 60926.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 8:30 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 206 + -187. Suppose u*h = 16*h. Put h, -9, 1.3 in descending order.\nAnswer: 1.3, h, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r + 1. Let g(j) be the first derivative of 0*j + 46 - 13*j + 17*j - 6*j - 4*j**2. What is 13*d(y) + 6*g(y)?\nAnswer: 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.32 - -1.4. What is the third smallest value in 0.3, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -73377 - -4?\nAnswer: -73373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -97.\nAnswer: 28\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/1518580 and -31\/27334440.\nAnswer: 27334440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1008*i**2 - 18148*i + 1. What is u(-18)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**5\/60 + o**4\/2 + 13*o**3\/6 + 3*o**2 - 2*o + 2. Let n(x) be the first derivative of r(x). Suppose n(l) = 0. What is l?\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 505 or 502?\nAnswer: 502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4576222246?\nAnswer: 2, 113, 20248771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1652784941.\nAnswer: 1652784941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 18*j**4 + 74*j - 72*j + 125*j**4 to the form x*j + p*j**3 + f*j**2 + r*j**4 + h and give r.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.511 rounded to zero decimal places?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 898 - 3382 = 3*t. Let b = t - -843. Solve 14*r + 4 = b*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1152*g**2\/17 + 1056*g\/17 - 242\/17.\nAnswer: -2*(24*g - 11)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueem. Give prob of sequence emue.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/((-1)\/4). Factor -3*y**2 + 2*y**3 - 3*y + y + y**2 + p.\nAnswer: 2*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 554306 and 116.\nAnswer: 1108612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17833362.\nAnswer: 2, 3, 19, 311, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/7, 1, 4 in increasing order.\nAnswer: -2\/7, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*d - 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5194790206 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 25 - 17)*(2*g**5 + 0*g + 0*g).\nAnswer: 30*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 927\/(-2266) + 3*1\/12*6.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from wgjqwgggqwgjgqggqqw.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1259642 divided by 6493\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 764648234?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*x - 26, -5*x - p - p + 10 = 0. Put x, 1, -5 in decreasing order.\nAnswer: x, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-36) + (-26)\/6. Which is the second smallest value? (a) w (b) 4 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 206 - 1176 = 5*c, 0 = -2*c + 8. Is 6\/(-27) + f\/27 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6220\/3737 - 250\/101. Let l = 257\/185 - q. Is l at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**5 - 1820*m**4 - 165485*m**3 + 48870*m**2 + 4373460*m - 8943480 = 0. What is m?\nAnswer: -182, -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m. Let p be (-3)\/2*132\/(-18). Suppose 5*w - 6*w - 6 = 0. Let h(u) = 5*u. Determine p*b(f) + w*h(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64133.4km to millimeters.\nAnswer: 64133400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 99555769 to the power of 1\/2, to the nearest integer?\nAnswer: 9978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1280 and 140.\nAnswer: 8960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-30) + 2\/4. Let s = -1449 - -1444. What is the nearest to s in k, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000431 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -502*c + 1768. Give p(2).\nAnswer: 764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**7\/105 + 3*y**6\/20 + y**5\/3 - 821*y**4\/4 - 6*y**2 + 2*y + 25. What is the second derivative of b(w) wrt w?\nAnswer: -24*w**2 + 108*w + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 7. Let n = 8 + k. Which is smaller: 5 or n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(76))\/(sqrt(144)*5).\nAnswer: -2*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*x + 77210 - 77458 = -13*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -313555 (base 6) in base 15?\nAnswer: -7842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1771 - 1744. Let u be (4\/(-3))\/2*-6. What are the prime factors of (-3)\/(w\/(-416)) + u\/(-18)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 193670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = 25 - 75 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247 divided by -249.\nAnswer: -247\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(7168\/84) + (-28905)\/(-1840) + -15.\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (189\/21)\/(((-6)\/18)\/(12\/12))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1054?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4481.403t in grams?\nAnswer: 4481403000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 2*u - 10. Let r(k) = -k**2 - 1. Let v be (-40)\/(-16)*(1 + -2 - 3). Calculate v*r(h) + i(h).\nAnswer: 8*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/331, -1, 14255?\nAnswer: 14255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 352 - 613 = -339 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 14*q + 17. Let m = -44 - -31. Let h be v(m). Find the third derivative of -2*f**4 + 2*f**2 - 2*f**4 - h*f**2 wrt f.\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 1. Let c be m(-5). Solve -2*n + 6*n + 3*a = 1, 0 = c*n - 5*a - 41 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/10 + 24\/110. Let p be ((-6)\/(-4))\/((-12)\/72). What is the third smallest value in p, o, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18033 is divided by 5956.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 2211444?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 8. Let q be p(7). Let j be 11 - q - (1 + -1). What is the units digit of 2\/5 - (-26)\/j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-1) + 0 + -11. Let j(n) be the first derivative of -n**2 - 14*n + 1624. Determine j(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3042215 (base 8) to base 6\nAnswer: 25122045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**3\/3 - 3*p. Let w(m) = 3*m. Calculate w(t(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + h = 27, 7*d + 3*h + 8682 = 8630 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f**2 + 11*f - 1. Is a(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 11*s**3 + 4*s**2 - 130*s - 22. Let q(o) = -7*o**3 - 2*o**2 + 87*o + 14. Calculate 5*b(w) + 8*q(w).\nAnswer: -w**3 + 4*w**2 + 46*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -6*q + 26\/3*q**3 + 676*q**2 + 1\/24*q**4 + 21. Solve p(f) = 0 for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*c + 12. Solve -c*j - 6 = 4*z, 3*j - z - 14 = 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 7*w + 10. Give t(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 894 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -164, -2, 493 in ascending order.\nAnswer: -164, -5, -4, -2, 493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 758818365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -3 (c) 15\/7 (d) 4\/3 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -x - 28. Let y = 452 - x. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3064607002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 401205 * 0.3\nAnswer: 120361.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 23 = -6*j. Solve -5 = 5*h + j*i + 16, -h + 4*i + 9 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 1017 in decreasing order.\nAnswer: 1017, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41502938.5 rounded to the nearest one thousand?\nAnswer: 41503000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -442 - -306. Let a = -226 - r. Let w = -34 - a. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5950 + 5903.97. Let y = j + 1.03. Let n = y - -45.0000016. What is n rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*d**3*f**2*o - 11*d**3*f*o + 2*d**2*f**2 + 4*d**2*o - 2*d*f**2*o wrt d.\nAnswer: 102*f**2*o - 66*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 387.7341 + 71.0229. Let i = k + -459. Round i to two dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*p = -17, 4*b - 47 + 0 = -p. Suppose t - 1 = -0*t. Calculate the lowest common multiple of t and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1 + 2 - 50*r**2 + 43*r**2 + 2*r. Let t(j) = -j**2 + 1. Suppose -3 = 4*g - 15. Let x = 8 - g. Determine x*t(c) - k(c).\nAnswer: 2*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**3 + 16*g**2 - 13*g - 6. Let z be i(2). Determine v, given that -1\/2*v**3 + z + 0*v**2 + 0*v + 1\/8*v**4 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27 + -20 - (-6 - 1). Let g(h) = h**3 - 14*h**2 + 7*h. Calculate the remainder when g(j) is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -1148*n**5 + 25268*n**4 + 151272*n**3 + 101736*n**2 - 280044*n + 2916 = 0.\nAnswer: -3, 3\/287, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8619252 is divided by 92?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*z + 49. Let j = -7 + z. Suppose j*n - 41 = 16. Solve -4*p - 7 + n = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5)\/(-1 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 16 + (-4 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 147970 to the power of 1\/2, to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 8*v**2 + 6. Let r be 3 - (1764\/(-360) - 1\/10). Give n(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 + 62. Let j be x(0). Let f = j + -18. What is the highest common divisor of f and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/6 - 6\/(-18). Suppose 0*j = -j - 2*b - 7, -2*j + 3*b = 0. Suppose 6*k - 4*k = -5*k. Put p, k, j in descending order.\nAnswer: k, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388 = 793*p - 987*p. Let a(k) = 6*k**2 + 4*k - 1. Let j(c) = -13*c**2 - 9*c + 3. Give p*j(m) - 5*a(m).\nAnswer: -4*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 7:58 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-1)))**14*(f*f**(-1\/23)*f*f*f)\/(f*f*f**(-15)*f) assuming f is positive.\nAnswer: f**(45\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -52, -56, -70, -100, -152, -232?\n\"Answer: -m**3 + m**2 - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/4317148 and -83\/20060.\nAnswer: 366957580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8814 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2773, -24356, 6 in descending order.\nAnswer: 6, -2773, -24356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4*z - 2, -2*o + 464*z + 9 = 459*z. Let w be (-4)\/(-6) + 2\/(-3). Solve l + o*l - 15 = w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaibadiijdjbjaajdji. What is prob of sequence diaj?\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from njjjnjz?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/17 - 3042804*d\/17 + 3042802\/17 = 0. What is d?\nAnswer: 1, 1521401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-17)*q)\/q*q)\/q*q*q*q**(-5) assuming q is positive.\nAnswer: q**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 844, 3292, 7336, 12976, 20212?\nAnswer: 29044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -4) + (12 - 0 - (5 - (-18 - -19))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3598471687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 n, and 1 u when three letters picked without replacement from juueuuujeuuuhunueuuu?\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**3 + u + 2. Suppose 0 = -182*j + 185*j + 6. What is b(j)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*g - 2, -13*u + 8*u = 4*g + 32. Which is the fourth biggest value? (a) 3\/4 (b) 1\/2 (c) g (d) -1\/2 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 176 + -121. What is the remainder when l is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(1*(-12)\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide ((-50)\/20)\/(90\/(-369936))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from {p: 2, d: 1, k: 1, n: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/10 - (-34)\/4. Suppose -28 = o*x - 13*x. Find the common denominator of x\/(-49) - (-38)\/14 and 47\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 50 = 4*b - 18, b = -5*p - 48. Let y be (-24)\/(-15) - 2 - 74\/p. What is the highest common factor of y and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18984983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 435710725 to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4380 divided by 6\nAnswer: -730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -5 (b) 3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2441968 rounded to four dps?\nAnswer: 0.2442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -4. Suppose b + k = 14. Solve -20 = 4*u + 2*l, -4*u - b*l - 5 = -9*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -1. Let u(y) = 65*y - 46. Let j(b) = -6*o(b) + u(b). Let n(s) = 5*s - 3. Give -3*j(l) + 40*n(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*t - 1267 - 1375 = -227*t + 797 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5 - 11*s**3 - 18*s**2 - 8*s.\nAnswer: s*(s - 4)*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/5)\/((-4)\/50). Suppose 5*j - d + 0 = 0. What is the least common multiple of (-46)\/(-8) + (-13)\/(-52) and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19b5d (base 15) to base 12.\nAnswer: 40437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3924, 3922, 3920?\n\"Answer: -2*l + 3926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + -3. Let f be 28\/v + (-1134)\/(-10). Suppose -f*y = -114*y + 1523. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 11 - 11 = 0. What is the common denominator of (-6)\/(-15) - 658\/(-30) - 2 and (1\/(-2))\/(x\/52)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6375 and 1706715?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -26*r**5\/15 - 17*r**4\/8 - 13*r**2 + 2. Find the second derivative of h(f) wrt f.\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -9. What are the prime factors of 19\/(-4)*(-12)\/c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 201.0110296 to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165530.\nAnswer: 2, 5, 16553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.1 or -15?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j - 24*j - 11438 = 74*j for j.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/25, -0.0748, 3, -2, 1\/6, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.75 and 0.1.\nAnswer: -0.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 146*n + 0 + 63*n + 64*n.\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*j + 106*j**2 + 16*j - 52*j + 43*j in the form u*j**2 + k*j + r and give u.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/1006918 and 129\/5698.\nAnswer: 7048426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 2*g**2 - 3*g - 3. Let k(r) be the second derivative of 0 - 1\/6*r**4 + r**2 - 237*r + 1\/3*r**3. What is -3*k(f) - 2*n(f)?\nAnswer: 2*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027046827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 4*v - 5*w - 23114, 4*v - 11*w - 23090 = 0. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 67*r**2. Let t(v) = 195*v. What is t(b(y))?\nAnswer: 13065*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 0*q**2 + 1\/10*q**6 + 0 + 0*q**5 - 2*q + 0*q**4 + 2\/3*q**3. Find the second derivative of v(j) wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*m - 16 = 0. Solve 3*d = -m*o + o - 9, 0 = -4*o - 2*d - 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 1\/5 (c) -4 (d) 0 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -12*z + 5. Let l be y(-4). Let x = -24 + l. Let d = x + -18. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 5)*(-3*j**2 - j**2 + 2*j**2) - 12*j**2 - 20 + 20)*(1 - 1 - 7*j**3).\nAnswer: 42*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g*(g*g**(2\/11))\/g*g*g*g)\/g)**0)**(-28) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-7 + 14 + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*a = 74, 4*a - 20 - 56 = -3*i. Solve -i = -3*k + 5*m, 4*m + 6 = 3*k - 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196\/126 + (-98)\/63\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 37*o**3 - 6*o**2 - 20*o - 21. What is the tens digit of w(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30697\/30 + -4093\/4. Find the common denominator of s and -107\/2862.\nAnswer: 28620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 + w**2 - w - 1. Let b be t(-1). Let d(v) = 2*v**2 - 3*v + 1. Let g(u) = u. Calculate b*d(f) - 2*g(f).\nAnswer: -2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1194 - 2517 + 7465*f + 2896*f**4 - 303*f + 1323 wrt f.\nAnswer: 34752*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.565 + 0.4\nAnswer: -18.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 11*f + 22. Let x be n(10). Let b = -31 + x. Is (1276\/(-2))\/(-3 + b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 5, -w + 19 = 5*s - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i**2 - 1. Let l(h) = h**3 - h**2 + 1. Let j(z) = -4*l(z) - 4*p(z). Find b such that j(b) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 - -84. Let b = 103 - p. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.3 (b) 0 (c) -0.1 (d) -5 (e) -167\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-4))\/(33\/(-594)). What is the remainder when 2\/((-5)\/((-825)\/10)) is divided by (-6)\/y + (388\/36 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + 20*o - 99. Let u be k(6). Let i = u + 233. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 58991826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2. Let p(v) = -2*v - 10. Let x(z) = 2. Let b(j) = -p(j) - 5*x(j). Determine w(b(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3377 - -3414. Calculate the remainder when 426 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 21010?\nAnswer: 21021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.96 - 366943605948.\nAnswer: -366943605947.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -104713624390 from -0.3.\nAnswer: 104713624389.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 310932\nAnswer: -1\/155466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5133867 to the power of 1\/2, to the nearest integer?\nAnswer: 2266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-5 - -2) - (1 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from bgrjmgw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 132796 or 132790?\nAnswer: 132796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 4, -19416, -2, -13, 5.\nAnswer: -19416, -24, -13, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 14*x**3 - 286*x**2 + 1394*x - 546 = 0.\nAnswer: 3\/7, 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76.417062 + 83.61712. Let f = 58.8 + -66. Let u = f + m. Round u to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10086 and 2460?\nAnswer: 100860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 416893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.3748 + 11.3748. Which is the closest to 3\/8? (a) -4 (b) 0.5 (c) 4\/7 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)*n\/(n*n*(n*n**(-2)*n*n)\/n)*(n**0)**6)**(26\/3) assuming n is positive.\nAnswer: n**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 12. Suppose 24*k = 20*k - 12. Let v be o(k). What is the remainder when 40 is divided by 1 - (-2)\/v - (-384)\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-24)*-2 + 0\/16?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 1577*h**2 - 1576*h + 3144. Determine s(-1578).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-953)\/(-5718)*((4 - -2) + -2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + k = -0*k - 100, -n + 3*k = -106. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*l = -7 - 277, i = 2*l + 71. What is the greatest common factor of i and 1136?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1067 - -3387?\nAnswer: 4465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-21)\/(-24) - 1). Let j be (-514)\/i - 1\/(-4). Is (-14)\/21 + j\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -3.1 (b) 59 (c) 0.4 (d) -124\/13 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87.8 - -86. What is j rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 - 10*r + 32. Let p be d(-7). Let q be -6*((-20)\/32 + -1 - -1). Which is bigger: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 7816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -650 - -1048. Suppose -10*r - 378 = -t. Solve 0 + 0*y - 3\/4*y**r - 9\/8*y**3 + 3\/4*y**4 = 0 for y.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 946138111 to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11410.\nAnswer: 2, 5, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4420 is divided by 498.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from {g: 2, u: 1, q: 1, v: 3, j: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjj. What is prob of picking 2 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 12*o**2 + 2. Let l be b(12). Let r be 4 - 6 - (-103 + l). What is the highest common divisor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i + 5*i**2 + 5*i)*(2 - 4 + 4) - 80*i - 21*i**2 + 80*i + (-2*i - 3*i + 2*i)*(-i - 2*i + 2*i) to v*i**2 + a*i + o and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3270\/103 <= -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 - -82. What is the greatest common factor of 48 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42443971\/385 + -110244. Find the common denominator of m and -41\/847.\nAnswer: 4235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.866523 to 3 decimal places.\nAnswer: -5.867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13784, 31, 2\/11, 1.\nAnswer: 2\/11, 1, 31, 13784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17828645*b**3 + 27611233*b**2?\nAnswer: 106971870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -844 > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**5\/20 + 5*a**4\/12 + a**3\/6 + 3*a**2 - 2*a. Let j be h(-5). Sort 5, -4, j.\nAnswer: -4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 14*h + 5. Let q be l(7). What is the second derivative of -29*w + 4*w**5 + 3*w + 0*w**q wrt w?\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*o + 21*o - 2114400. Round o to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8327 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16320 (base 9) to base 10.\nAnswer: 11196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -1\/2*j + 3\/2*j**3 - 1\/8*j**4 - 27\/8*j**2 + 9\/2 = 0.\nAnswer: -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-18))\/(2 + 266\/(-132)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s + 7 - 7 + (-28 + 3 + 11)*(4*s - 2*s + 0*s).\nAnswer: -35*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 101720.\nAnswer: 10172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00925785318 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 3*t - 10, -11*l - 4*t + 90 = -5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - -33. Suppose 0 = 6*f - b - 58. Suppose o = 86 + f. Does 34 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -7. Suppose f*i + 0*i = 4*q - 1769, 0 = 2*q - 2*i - 882. Let g = q - 313. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33678134.999999 + 33678152. Let z = v - 17. What is z rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 116\/(-196) - 0\/1. Let t = l - -1\/49. Let b = 1.96 - -0.04. What is the smallest value in t, 1, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**3 + 17376*y**2 + 37723290*y - 75516100 = 0.\nAnswer: -4345, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1725*f - 521*f**4 - 2439*f + 2418*f**4 wrt f.\nAnswer: 22764*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9415 + 9413. Let l = -779\/143 - -72\/13. Which is the nearest to 0.2? (a) l (b) -7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -8\/307?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (182 - 16 - 138)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0356 plus 3?\nAnswer: 3.0356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + (-1141182)\/(-1141179))\/(225\/(-377844445)). Let u = 71\/29261 - z. Let c = u + -58\/13. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6781 times -28\nAnswer: -189868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 195476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5*n + 361, 2*n - n = -3*i + 247. Calculate the greatest common factor of 468 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (0 + 2)) + 51 + -52.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 t when three letters picked without replacement from {i: 1, t: 2, r: 10, l: 1, k: 2}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25897284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d - 4. Let n(k) = -14*k + 12. Determine 17*i(x) + 6*n(x).\nAnswer: x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 19 - 29 + o.\nAnswer: o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 12. Let v be m(-4). Let j(r) = -3 + 2*r + v - 5. Let u(l) = -2*l. Give j(u(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o - 24. Let x be d(13). Suppose 5*a = -3*f + 35, -4*a = -x*f - 3*f + 9. Let v = 5 + f. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148627015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*x - 0*x - 2*m, -4*m + 13 = -3*x. Sort 37, x, 0 in descending order.\nAnswer: 37, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 26 + 2*z**3 + 35 - z**3.\nAnswer: z**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-1*(-2)\/8. Let p = 194 + -1748\/9. Let a = 1057303.2 - 1057303. What is the nearest to l in p, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15202750?\nAnswer: 2, 5, 60811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*d = -45*d - 3. List the prime factors of (1 - (1 - d))*291.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 + 19*v + 3. Let s(d) = 4*d**2 + 28*d + 5. Let q(r) = -7*o(r) + 5*s(r). Suppose 56 = 9*n + 2. Let x be q(n). Solve -x = -h - 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -5*x**8\/56 - x**6\/15 - 187*x**5\/20 + 9197*x**4\/12 + 11*x - 162. What is the third derivative of q(h) wrt h?\nAnswer: -600*h**3 - 48*h - 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*n + 8 = 3*r, 5*r - 21 = n. Suppose -4*g - r*d + 16 = 0, -3*g + 67 = -3*d + 25. Let f = -5 + g. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 k, and 1 m when four letters picked without replacement from {l: 1, m: 5, c: 6, k: 3, x: 2}?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 0*u**2 - 2*u**3)*(423 - 13*u**2 - 423 + 4*u + (u + u - 4*u)*(-2*u - 2 + 2) - 4*u**2 + u**2 + 4*u**2).\nAnswer: 16*u**5 - 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 10 = -0*n. Which is smaller: n or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**5 - 36*g**4 - 108*g**3 - 108*g**2.\nAnswer: -4*g**2*(g + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + sqrt(76)*-4)*1)\/sqrt(4).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-528)\/(-40))\/((-11)\/(-6545)) a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 395428448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61001.24um to millimeters.\nAnswer: 61.00124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 839238.7 years in decades?\nAnswer: 83923.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n - 3*n**2 + 5*n**2 + 2*n**4 + 0*n**2 + 2*n**2 - 3*n**2 - 3*n**3 to g*n**2 + s*n**3 + v*n + k*n**4 + i and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t - 18 + 13 + t + 5 - 5 - t + 0*t + t + 0*t + (-3*t + 2*t + 2*t)*(-5 + 3 + 3).\nAnswer: -t - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8268, 8250, 8230, 8208?\n\"Answer: -i**2 - 15*i + 8284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540 (base 9) to base 5.\nAnswer: 3231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*3\/5*(-10)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 35 = 5*a, -72*x - 5*a - 35 = -74*x. Put 462, x, 3, 6 in ascending order.\nAnswer: x, 3, 6, 462","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 26*z**2 - 26*z - 35. Determine y(27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 6*v**2 - 18*v + 18. Suppose 405*c - 197*c = 205*c + 24. Give r(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**3 - 2*o**3 + 0*o**3 + (-2*o - 3*o - 5*o)*(19*o**2 - 2*o**2 - 4*o**2) + o**3 - o**3 + o**3.\nAnswer: -128*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -134 + 129. What is the second biggest value in -1\/5, 4\/13, m?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7 = -5*u, -8 = 2*u - 0*f - 2*f. Is -2\/11 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9368821 to the nearest one hundred thousand.\nAnswer: 9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + (sqrt(55)\/sqrt(5))**2 + 5)*1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 3*u**2 - 16*u**3 + 0*u**2 + 59 - 48. Is l(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*s + 11*s + 20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36125\/1407 + -4\/469. Let f = -533\/21 + q. Factor 0 - 2\/7*n**2 - f*n.\nAnswer: -2*n*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -707, -1355, -1987, -2597, -3179, -3727, -4235?\nAnswer: -4697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12504 divided by 1042?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 3106 = -5304. Suppose 450 + 80 = -k. Let a = i + k. List the prime factors of a.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/5384351 and 103\/126?\nAnswer: 96918318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -31707.219?\nAnswer: 317.07219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -f - 3*n + 39, 0 = 2*n + 2. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*i**3 - 2*i**3 + 7*i**3)*(6 - 2 - 2) + i**3 - 2*i**3 - 2*i**3 + (-2 + 2 + 2*i)*(-2*i**2 - 4*i**2 + 2*i**2).\nAnswer: 37*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byxbyywwbdybyybyxb. What is prob of picking 2 x?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -4524\nAnswer: -1\/4524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2142 divided by -9\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2 + 1 + 5 - b. Let j(h) be the second derivative of h**3\/2 - 9*h**2\/2 + 16*h. Let w(k) = -4*j(k) - 9*p(k). Let c(y) = -4*y. What is c(w(s))?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -89 in 1, -1, 3, -1\/7, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 13 - 16 + 3.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -4303164?\nAnswer: 1\/1434388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/20*8)\/(-1 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 4*h**2 + 2*h + 2584. Is 113 a factor of s(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1849171.4391 to the nearest ten.\nAnswer: -1849170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95*l**2*y - 30022*l**2 + 3*l + 71225*y wrt l.\nAnswer: -190*y - 60044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*-3*(-486)\/729*-27.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -1475.97.\nAnswer: -2951.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (-15)\/9)*-3. What is the first derivative of -2 + 14*o + j - 14*o - 3*o**3 wrt o?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 11 + -19 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Let d(q) = -547624*q. Calculate d(p(s)).\nAnswer: -547624*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82 and 2357049?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 16 - 13, -5*k - 5 = 5*m. Solve -2*p - 3 - 6 = -u, 4*u - 24 = k*p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288741839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9937214?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 122726363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 78?\nAnswer: 77.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9370 times -0.344\nAnswer: -3223.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 60 and 4.4?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - -11. Suppose 0 = -4*o + 6*o - d. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + 3 + sqrt(275) + 0 + sqrt(275) + sqrt(275) + 1)*3)**2*-2 + 5.\nAnswer: -46003 - 4860*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(108)*-3 + sqrt(108)).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -357, -3091, -10845, -26235, -51877, -90387, -144381?\nAnswer: -216475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8662? (a) -3 (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 0 - (-144)\/18. Let k(q) = 24*q - 59. Let h be k(7). Suppose h = g*v - 215. Calculate the greatest common factor of v and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3200\/9891 - -65108951\/3719016. Let w = -226\/47 + j. Find the common denominator of 95\/8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.0838.\nAnswer: -0.419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 g, and 2 w when four letters picked without replacement from {b: 1, d: 1, w: 2, c: 6, v: 4, g: 1}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -96689?\nAnswer: -96692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -49. Let j(m) = -m**3 - 11*m**2 + m + 22. Let l be j(d). Which is smaller: l or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**3 + 1. Let f = 200 + -194. Let u(j) be the second derivative of -f*j + j**2 + 0*j**3 + 0 + 0*j**4 + 1\/5*j**5. Determine -3*b(c) + 2*u(c).\nAnswer: -c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -512 + 610*t + 512.\nAnswer: 610*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 0 + 3\/4*j**2 + 2*j - 1\/4*j**4 - 7\/8*j**3. Let h(i) = 0. What is i?\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 3:16 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 16 = 7*c. Let j(h) = 9*h - 2. Does 16 divide j(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(684))**2 + -3.\nAnswer: -12*sqrt(19) + 677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 6*h. Let n(i) = 5*i - 1. Let y be n(1). Let f(p) = p**2 + 6*p - 14. Let w be f(-8). Put y, h, w in decreasing order.\nAnswer: y, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**2 + 65930*m - 217338245 = 0.\nAnswer: 6593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 166\/32809 + 4\/301. Let b = -3 + 2. Which is smaller: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(539))*6 - ((sqrt(539) - (sqrt(539) + (sqrt(539) - (-1 + 3*sqrt(539))))**2) + sqrt(539)).\nAnswer: 14*sqrt(11) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43451\/55 - -790. Let m = 2\/11 - x. Let d = -4 + 4.2. Is m at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7150)\/2145*(-126)\/50)\/(12\/20).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 11, -1, -9, -7, 11, 51?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/15*15\/6. Suppose -3*r + 16 = 4. Suppose u = 4*a - 15, l*a + r*u = 25 - 9. What is the greatest common divisor of a and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = -37*a + 46. Let f(o) be the second derivative of 1\/6*o**4 - 1\/15*o**6 + 0*o**3 + 0 + 0*o**5 + 0*o**2 + a*o. Factor f(l).\nAnswer: -2*l**2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*p = 4, -2*p + 93 = g + 91 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033.759 nanometers in micrometers?\nAnswer: 1.033759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 184529057?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 595*x - 189 = 586*x. What is the lowest common multiple of x and 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 287, 334, 129, -334, -1061?\n\"Answer: -c**3 - 120*c**2 + 414*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5832, -5871, -5980, -6195, -6552?\n\"Answer: -6*f**3 + f**2 - 5827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-125))\/(4\/20). Let k = -4.2 + 8.2. Which is the biggest value? (a) s (b) k (c) 3\/7 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a + 13*a - 11*a**2 - 48*a**2 - 3*a to d*a + t + o*a**2 and give o.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 617*(-1)\/2*-4. Suppose -4*l - 2*j = -0*j - t, 322 = l - 4*j. Round l to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (45\/(-12))\/(24\/(-832))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 12:08 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4433*n. Let v(d) = -246*d. Calculate 6*u(g) - 110*v(g).\nAnswer: 462*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6383 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 13*j - 10. Calculate d(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*w**2 + w - w - 44*w**2 to the form x*w + j + l*w**2 and give l.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 20*r + 176. Let d be s(-6). Calculate the highest common divisor of d and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**2 + 2*o**2 - 3*o**2)*(5*o - 3*o - o)*((-3 + 2 + 3)*(1 + 0 + 1) + 5 - 4 - 3) as l + p*o + k*o**2 + w*o**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 694843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - s - 41 = 0, -4*h - 58*s + 56*s - 34 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 155*z**2 - 239*z**2 + 124*z**2 - 3 + 2 - 14.\nAnswer: -270*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8664 - 173323\/20. Find the common denominator of -31\/42 and s.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3120 (base 4) to base 8\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4257 - 4242. Let p be (-1)\/4*(0 - 1). Which is the second biggest value? (a) -5\/4 (b) 2\/19 (c) p (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 17. Let y be w(5). Let r be 1\/((-2)\/6)*y. Let p = -26 + r. Solve -k - p = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 2*t + 570. Let x be v(0). Suppose -2167*p + 2173*p = x. What are the prime factors of p?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204228 and 7377462.\nAnswer: 1372207932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 1 + 3*w**2 + 209282*w**3 - 4*w**2 - 209268*w**3. Give a(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 62 = 206. Let h be (-154 - -231)*(0 - -1*18\/7). Calculate the greatest common divisor of h and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1217\/(-9) - 0\/4. Let d = f + 135. Is d < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 1416. Let b = 12076 + -10271. Let h = b - x. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6 = -2*i - 3*d, i - 5*d = -18. Let f(l) be the third derivative of -l**4\/24 - 2*l**3\/3 + 17*l**2. Determine f(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19383262 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4 = 4. Suppose -5*j - m = 25, 4*m = a - 22. Let d(w) = w - 3 + 0 + 7. Give d(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -23 + (-264 - -282).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**5 + 14*c**4 - 96*c**2.\nAnswer: 60*c**2 + 336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -2 (b) 6248 (c) -1\/113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -18, -2, 3, -3360, 5, 11 in decreasing order.\nAnswer: 11, 5, 3, -2, -6, -18, -3360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97.9 - 98. Let s = y - -0.025. Let q = -2.075 - s. Which is the third smallest value? (a) 0.3 (b) q (c) 1\/6 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a kilometer in meters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -97. Let b(x) = 6*x**2 + 4*x - 2. Calculate the remainder when n is divided by b(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 10:12 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2962.6161 months?\nAnswer: 2.46884675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*w - 3*x + 243 - 54, 3*x - x - 16 = -2*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -3\/5*c**5 + 14*c + 0*c**3 - 1\/2*c**2 + 0 + 0*c**4. What is the first derivative of w(z) wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10}. Give prob of sequence cc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 8:15 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 113960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -273, 0.1744, -4, -0.05, -2\/3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 16. Let r be (-30)\/a*(-24)\/20. What is the second derivative of -8*u + 25*u**r - 8*u**4 + 26*u + 16*u wrt u?\nAnswer: 204*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2. Let x(h) = -2*h + 1. Let b(p) = 2*p**2 - 12*p + 6. Let l(c) = -2*b(c) + 12*x(c). Give j(l(i)).\nAnswer: -48*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 4:49 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53041.42 hours in microseconds?\nAnswer: 190949112000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y + 4552 - 44100 = 18552. Calculate the lowest common multiple of y and 5.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8044605 + -519.22\nAnswer: 8044085.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 128052768 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*-1*sqrt(6)\/sqrt(2).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 134050914 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 13*g**3 + (-2*g**2 - g**2 + g**2)*(-5*g + 4*g - 4*g).\nAnswer: 23*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 76.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-1)\/3 - 1. Let m = 8.3 + -8. Let i = -234 + 230. Which is the closest to z? (a) m (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6)*(-6)\/4. Let m = -14 + 18. Sort m, 3, f in descending order.\nAnswer: m, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309313823?\nAnswer: 7, 13, 617, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 341148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z*z**(-6)*z)\/z)\/(z\/(z*z**17)))\/((z*z**(-2))\/z)**(1\/4))**(3\/16) assuming z is positive.\nAnswer: z**(81\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2187*o - 2213*o + 4344*o - 896 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l, 2*s = -l + 210. Suppose 4*j - 91 = s. Suppose 5*w + j = 6*w. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1521 = -5*g. Let s = g + 227. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 n when four letters picked without replacement from nnnunununuunuuunnnuu?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.72 - -24.28. Let i = -27 + x. Let t = 20 - 12. Is i greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-15*y**3 - 667*y**2 + 667*y**2 - 2).\nAnswer: 30*y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**3 - q**2 - 3*q - 2. Is 14 a factor of u(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -14*n - 5. Give l(8).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, z: 1, h: 1}. Give prob of picking 1 g and 1 z.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h - 3*b + 8 = 0, -5*h - 16 = b. Let p be (-264)\/(-77)*(-14)\/h. Suppose r + 742 = p. What is r rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -660 or -652?\nAnswer: -660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 35 = -154*d + 311. Which is smaller: 16 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -681 - -679. Let q = -1.55 + 1.6. Let x be 0 - 2*3\/27. What is the third biggest value in q, x, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8 - 4 - 6 + 1 + 2. Let y(o) = 2*o + 3. Let f(q) = -4*m(q) + y(q). Let w(v) = -v**3 + 5*v**2 + v - 7. Let b be w(5). Give f(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 282 and 6988242?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brrrbbrbrbrr. What is prob of sequence rbr?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 8:23 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -238, -5\/8, -41\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -80*c + 2. Let j be g(-2). Let z(m) = 8*m + 22 - 5*m - m + 8. Let a be z(-6). Calculate the greatest common factor of a and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 10 = -4*n. Let l(v) = -1. Let t(u) be the second derivative of u**3\/2 - u**2\/2 - 3*u + 109. Determine n*l(z) + t(z).\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - 1*sqrt(171)*-2 - sqrt(171)) + (sqrt(171)*-2 - sqrt(171))*-3)\/(sqrt(441) + 2*sqrt(441)*-4).\nAnswer: -11*sqrt(19)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 49 = 3*m - 11*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 6*d - 23. Let r be z(9). Solve 0 = -2*n - 2*n + r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 1. Let n(k) = -3*k + 10. Let o(l) = -n(l) + 4*r(l). Let f(q) = q - 8. Let s be f(8). Calculate o(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3478*g**2 - g + 1. Let n(k) = -10429*k**2 + 4*k - 4. Determine 10*j(v) + 3*n(v).\nAnswer: 3493*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -7*w + 28. Suppose 4*m - 72 = 10*m. Let a be 16\/6*(-90)\/m. What is the highest common factor of w and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 32 = -b, -3*u = -6*b + 4*b - 29. Suppose -4*h + 4 = 4*n, -u = 3*n + 2. Let g be 2689 + -1 - h*(-6)\/12. Round g to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2162769180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 119*l - 6 = -118*l, -2*l - 11 = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 9. Let x = -0.26 + -0.04. Let z = -0.1 - x. What is the smallest value in z, a, -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 102?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((c\/c**(2\/3))\/c)*c))\/(c\/c**(-5)))\/(((c*c**(-4))\/c)\/c*c**1*c) assuming c is positive.\nAnswer: c**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d + 3 - 17. Calculate the highest common factor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/3)\/44*6\/1\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y - 3. Let w be q(-2). Suppose -m - w = -0*m. Which is the second smallest value? (a) 2 (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/3 - 2)*-96. Let f = c - -106. Calculate the highest common factor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1608*d**2 - 1918*d**2 - d - 3661 + 3660 + 0*d to the form p*d + q + y*d**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*n + 2*n. Suppose -2 = -y + 2. What is the lowest common multiple of n and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 93393033 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 252ac - d7?\nAnswer: 251c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169136503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5745 (base 8) in base 10?\nAnswer: -3045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -1. Let n(t) = t**2 - 3*t - 2. Let j(c) = a(c) - n(c). What is j(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 12:54 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + v**2 + 2*v - 2. Let j be h(3). Let t = 176 - j. Let c = t + -88. What is the highest common divisor of c and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 841985 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 3b?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(130))\/sqrt(10)*1.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/5*-34 + 1. Suppose -l + 8 + a = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10620 is divided by 80.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 9. Let c be r(6). Suppose 5*f = c*f + 4. Solve f*l = 1 + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 32)*(-10)\/15. Let q(c) = 158749*c**3 + 2*c**2 - c + 2. Let z be q(2). Suppose k*b = 17*b - z. Round b to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90145 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1120816*u - 1120784. Determine c(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 1 - 1)*(-105*h - 6398 + 6398) + (-2 + 2*h + 2)*(0*h + 3*h - h) to w*h**2 + v*h + r and give w.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*sqrt(320) + ((sqrt(320) - ((-2 + sqrt(320) - sqrt(320)) + sqrt(320) + sqrt(320)))*3)**2 - (-3 + (3*(sqrt(320) + -2)*-1)**2).\nAnswer: -8*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22934 is divided by 139?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30025, 1987, 0.\nAnswer: -30025, 0, 1987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537503.\nAnswer: 347, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1014067*u. Let o(r) = r. Calculate f(o(i)).\nAnswer: 1014067*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 32 (b) -0.017 (c) 2662 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -11*s**2 - 9*s + 2. What is n(-2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b - b - 4*b)*(-2 + b + 2) + (b - 4*b + b)*(3*b - b + b) + 4*b**2 - 2*b**2 + 9*b**2 as r*b**2 + f*b + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.081 (b) -5 (c) -2\/5 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 214, 426, 638?\n\"Answer: 212*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -61525204224 and 0.1.\nAnswer: -61525204223.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(((-89804)\/3696)\/(-157)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 8*i - 41*f = -130*f + 376, 6*f - 17 = 3*f - 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -285*p. Let f(a) be the first derivative of 13*a**2\/2 + 1230. Calculate y(f(d)).\nAnswer: -3705*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -4.5. Let j = f + -0.3. Let l = -0.7 - j. Which is the smallest value? (a) -1 (b) -3\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1661 and 359095?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 518076081 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -u + 5. Suppose -3*q = -5*s - u, -q + 6*q = -5*s + 5. Suppose -5*a - j + 47 = -q, 0 = -5*a - 5*j + 65. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -21*l**3 + 7*l**2 + 21*l - 129. Is c(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + i = -3*k - 23, 5*k = -i - 35. Let l(s) = -5*s + 11. Let v(r) = 3*r - 6. What is k*l(o) - 11*v(o)?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnn when three letters picked without replacement from uuunuuluunnuun?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.71, -0.4, 11 in descending order.\nAnswer: 11, -0.4, -4.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - w + 5. Let l be n(5). Let m be 12\/(-3) + -1 + (-52)\/(-1). Let c = 57 - m. What is the highest common factor of c and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6 - 1 = 0. Suppose 5*z - j - 3 - 6 = 0, -j - x = 3*z. Let v be z*-2 + (-253)\/(-132). Sort -2\/13, 0.5, v in increasing order.\nAnswer: -2\/13, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 - 95*z**2 + 32*z + 707. Calculate f(47).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45866598 + -23416598. What is r rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/3)\/d)\/((d*(d*d**2)\/d*d*d)\/d) assuming d is positive.\nAnswer: d**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Let h(p) = -5*p**2 + p + k*p - p. Let t(w) = -2*w. Give h(t(u)).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.506 - 0.706. Which is the biggest value? (a) -0.16 (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83900 divided by -1678?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 - 189. Let a = -68 - t. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -338?\nAnswer: 1\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a151a (base 13) to base 9.\nAnswer: 1215267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34661.\nAnswer: 11, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.28 + -0.13. Let d = h + 0.81. Let v = 3.31 - 0.31. Put -1\/5, d, v, 2\/3 in decreasing order.\nAnswer: v, 2\/3, d, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005613 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from eqqqqqqq?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 + 33*l - 502. Determine j(-19).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 334 + 1143*d**2 + 164 + 171 + 322*d**2 - d**3 to the form f*d**3 + l + z*d**2 + n*d and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 82 = -29. Suppose -3*g + 6 = 0, r - 10 = -5*g + 10. What is the remainder when n is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1. Let n be o - (-6)\/(2 + -3). Let x = -1 - n. Solve 3 + x = -3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57769 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.1 (b) -0.2 (c) -0.0265 (d) 3\/2 (e) 265 (f) -3\/8 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2017280 greater than -219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4*z - 3 = -0, -j + z = 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 11*i - 6. Let y be f(9). Let j(m) = -m + 8. Let d be j(6). Let o be 51\/9 + d\/6. Calculate the highest common factor of o and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*p = -0*z + 5, 3*p = 3*z. Solve z*c + 14 + 1 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -97768*n - 6768 wrt n.\nAnswer: -97768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (15 - (-2 - -10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from fffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -294*s**3 + 27*s**2 - 32*s - 36. Let y(z) = 98*z**3 - 9*z**2 + 11*z + 12. Let q(d) = -3*h(d) - 8*y(d). Is q(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/12, -51073, 4.9?\nAnswer: -51073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -3*t + 24507 - 24522, 0 = -5*x + 2*t + 21 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 345 and 3910.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 24*i**2 + 11*i + 18. Let r be y(-23). Is r\/((-12)\/3) - 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21258 and 48.\nAnswer: 170064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4166677 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/6 + (-2)\/6. Solve 3*l - 2*i = 2*l + 12, -4 = -4*l - u*i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -434*f + 289*f - 3793*f**4 + 6167*f + 5963*f wrt f?\nAnswer: -45516*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.42 + 0.44. What is the nearest to 1 in i, 1\/2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1\/9, -338 in ascending order.\nAnswer: -338, 1\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/4 - 393*h\/4 - 397 = 0. Calculate h.\nAnswer: -4, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/8 + (-27)\/36. Suppose 2*l + 4*i = -12, f*l - i - 3 = 7*l. Let p = 0.9 - 1. Which is the nearest to l? (a) 4 (b) -2\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299.186 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.83 + 0.13. Let s = x - -0.8. Let c be -3 - 6\/(-8)*3. Sort s, c, 0.\nAnswer: c, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4089 - -4095. Calculate the lowest common multiple of v and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -2. Let r be g\/6*(-3)\/1. Let c be (-21 + 15)\/(3\/2). Put 2, c, r in ascending order.\nAnswer: c, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 + 41*c - 4. Suppose 3*l - 47 = 42*y - 38*y, -71 = -3*l - 2*y. Determine s(l).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14768 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + 3 + -2 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 3 - 3 + 19*w.\nAnswer: 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 6*t**2 + 2*t + 6. What is the remainder when (2\/(-6))\/(2\/(-426)) is divided by o(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 1)*(39 + -40)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 65*q - 293. Determine n(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(132)\/sqrt(6))\/(-2*-1*sqrt(11)))**2 + (4 + (2*sqrt(2)*-2)**2 - -2*2*sqrt(32)).\nAnswer: 16*sqrt(2) + 73\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -560, -551, -528, -485, -416?\n\"Answer: o**3 + o**2 - o - 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (3 - -3)) + (1 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 0 + 1 + t**2 + 217*t + 0 - 245*t. Let a be z(10). Let i = 396 + a. List the prime factors of i.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-686))\/((-3*1)\/((-21)\/2))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(-124)\/(-1271)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of -14*((-60)\/(-8))\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 610 divided by 7.\nAnswer: 610\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 90135 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -62*x + 1. Let a(f) = -f. Calculate 2*a(z) + g(z).\nAnswer: -64*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 9:15 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 279*s + 209*s + 127*s to m*s + z and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 6. Let t be k(-4). Let q be (t\/(-7))\/(3\/(-21)). Let f(b) = b**3 - b**2 + 2*b - 1. List the prime factors of f(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b. What is the least common multiple of h(6) and (-400)\/(-18) + (-6)\/27?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vesv when four letters picked without replacement from evveveeesseseeeeeee?\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25595\/6 + -4246. Calculate the common denominator of b and (7\/70)\/(1\/(-73)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 446432 and 672.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 2307 = -1148 - 1141 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c - 27 + 24*c**2 - 49 + 78)*(-2 + 0 + 4)*(-c - c + 4*c) to f*c**2 + x + t*c + q*c**3 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 183555050918 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -8*v**3 - 48*v**2 - 6*v - 2. Let u be c(-6). Calculate the highest common factor of u and 3638.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*w - 16 = 0, -2*w + 38 = -5*j + 43. Which is the nearest to j? (a) -2\/3 (b) 11\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(0*g - 3*g + 4*g) - 2*g - 55*g + 5*g - 3 as x + a*g and give a.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/6)\/((-2)\/(-6)). Let l = -2 - d. What is the remainder when -4*(-5)\/((-120)\/(-18)) is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.17 and -32.091.\nAnswer: 5.45547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 110455780951 from -0.3.\nAnswer: -110455780951.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 299*f**5\/60 + 19*f**4\/24 - 121*f**3\/6 + 5*f**2 - 19. Is a(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 224, 447, 672, 899, 1128?\n\"Answer: c**2 + 220*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55080\/143055 - 3*(-15)\/(-153)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 793?\nAnswer: -793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*u - 13 = 0, 4*t - u + 6*u = -13. Let z be 1\/t*-4 + -5. Let f be (-1)\/(0 - z\/(-12)). Solve f*n - 4 = b, -b - b - 2*n = 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 256590886?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6021*t - 3016*t - 3005*t + 431*t**2.\nAnswer: 431*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*m = -340 - 560 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 0*l**2 + 15*l - 1\/3*l**4 + 0*l**3 + 17\/20*l**5 + 0. Find the third derivative of o(g) wrt g.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(((f*f**(-2\/5)*f)\/f)\/f))\/(f**3\/f))**36*(f**7*f**(-5\/6))**(20\/9) assuming f is positive.\nAnswer: f**(-1066\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 5*b**4\/12 - 19*b**3\/3 + 64*b**2. Let y(a) = 19*a - 78. Let p(q) = -3*y(q) + 5*z(q). Find the first derivative of p(v) wrt v.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d**17\/d*d)\/d*d))\/d)\/d**(4\/7) assuming d is positive.\nAnswer: d**(-130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.3 less than 104786868.1?\nAnswer: 104786882.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1972?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*u + 18*u - 7*u to q*u + t and give q.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*c - 20, 3*o = c + 4 - 8. Suppose o = -3*b + 5*i + 21, 4*b + 8*i - 10*i - 14 = 0. Solve -b*l = 5 + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76 (base 16) to base 15.\nAnswer: 7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 259143*p**4 - 186*p**3 - 250882953?\nAnswer: 1036572*p**3 - 558*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/13)\/x**(-15))\/(x**(-2\/13))**(1\/16) assuming x is positive.\nAnswer: x**(1545\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/(-18))\/((-1)\/(-3)). Suppose 3*y - 5*z + 310 = 0, 4*z = -s*y + 3*y - 170. Let x = y - -133. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105 - 523. Let t = -406.1 - k. What is the second smallest value in -1\/6, -1, t, 2\/21?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**5 - 15*s**4\/4 - 10*s**3\/3 + 151. Factor o(u).\nAnswer: -5*u**2*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (sqrt(2) + (sqrt(200))**2 - sqrt(2)) - (sqrt(242) + 2) - (-5 + sqrt(10)\/sqrt(5) + sqrt(8)\/sqrt(100))**2.\nAnswer: -5747\/25 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 208663763839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -27327 > -27328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 + 375 - 3*b**2 - 249.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20413301 (base 5) to base 4.\nAnswer: -221131202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 57.33272ng?\nAnswer: 0.00000000005733272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 22)\/(-8) + 11\/(-6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8*b. Let z be y(1). Let i(n) = 8*n**2 + 2*n**2 + 1082 - 6*n**2 - 474 + 5*n**2 - 5*n - n**3 - 618. Determine i(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d**2 + 61*d**2 - 16*d**2 - 22*d**2 - 3*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1665 divided by 28\nAnswer: -1665\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, m: 3, i: 4, d: 2, f: 1}. What is prob of picking 2 i, 1 d, and 1 f?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from {e: 2, z: 1, i: 2, k: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/(-60) - (-16)\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1897 - 1898. Let f(n) = -5*n - 3. Let u(h) = 16*h + 8. Let c(g) = 11*f(g) + 4*u(g). Determine c(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.683332 months?\nAnswer: 0.0473611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**2\/2 + 46*y - 14. Let z(p) = p**2. What is h(z(l))?\nAnswer: -l**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1005.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 3) in base 4?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 10*c**2 - 20*c + 34. Let j be h(8). Suppose 0 = 4*y + 8, 5*f - j*y - y - 26 = 0. Factor -6*k**3 + 0 + 0*k**2 - 4*k**f + 0*k - 2\/3*k**5.\nAnswer: -2*k**3*(k + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 59424 = 4*q, -10*g = -12*g - 2*q + 23768. What are the prime factors of g?\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}